id	sid	tid	token	lemma	pos
ejpam-6026	1	1	european	european	PROPN
ejpam-6026	1	2	journal	journal	PROPN
ejpam-6026	1	3	of	of	ADP
ejpam-6026	1	4	pure	pure	ADJ
ejpam-6026	1	5	and	and	CCONJ
ejpam-6026	1	6	applied	applied	ADJ
ejpam-6026	1	7	mathematics	mathematic	NOUN
ejpam-6026	1	8	2025	2025	NUM
ejpam-6026	1	9	,	,	PUNCT
ejpam-6026	1	10	vol	vol	NOUN
ejpam-6026	1	11	.	.	PROPN
ejpam-6026	1	12	18	18	NUM
ejpam-6026	1	13	,	,	PUNCT
ejpam-6026	1	14	issue	issue	NOUN
ejpam-6026	1	15	2	2	NUM
ejpam-6026	1	16	,	,	PUNCT
ejpam-6026	1	17	article	article	NOUN
ejpam-6026	1	18	number	number	NOUN
ejpam-6026	1	19	6026	6026	NUM
ejpam-6026	1	20	issn	issn	PROPN
ejpam-6026	1	21	1307	1307	NUM
ejpam-6026	1	22	-	-	SYM
ejpam-6026	1	23	5543	5543	NUM
ejpam-6026	1	24	–	–	PUNCT
ejpam-6026	1	25	ejpam.com	ejpam.com	X
ejpam-6026	1	26	published	publish	VERB
ejpam-6026	1	27	by	by	ADP
ejpam-6026	1	28	new	new	PROPN
ejpam-6026	1	29	york	york	PROPN
ejpam-6026	1	30	business	business	PROPN
ejpam-6026	1	31	global	global	PROPN
ejpam-6026	1	32	a	a	DET
ejpam-6026	1	33	comparative	comparative	ADJ
ejpam-6026	1	34	study	study	NOUN
ejpam-6026	1	35	on	on	ADP
ejpam-6026	1	36	the	the	DET
ejpam-6026	1	37	impact	impact	NOUN
ejpam-6026	1	38	of	of	ADP
ejpam-6026	1	39	infection	infection	NOUN
ejpam-6026	1	40	on	on	ADP
ejpam-6026	1	41	the	the	DET
ejpam-6026	1	42	stability	stability	NOUN
ejpam-6026	1	43	of	of	ADP
ejpam-6026	1	44	eco	eco	PROPN
ejpam-6026	1	45	-	-	PUNCT
ejpam-6026	1	46	epidemiological	epidemiological	ADJ
ejpam-6026	1	47	models	model	NOUN
ejpam-6026	1	48	kawa	kawa	PROPN
ejpam-6026	1	49	ahmad	ahmad	PROPN
ejpam-6026	1	50	hassan	hassan	PROPN
ejpam-6026	1	51	1	1	NUM
ejpam-6026	1	52	department	department	NOUN
ejpam-6026	1	53	of	of	ADP
ejpam-6026	1	54	mathematics	mathematic	NOUN
ejpam-6026	1	55	,	,	PUNCT
ejpam-6026	1	56	college	college	NOUN
ejpam-6026	1	57	of	of	ADP
ejpam-6026	1	58	science	science	NOUN
ejpam-6026	1	59	,	,	PUNCT
ejpam-6026	1	60	university	university	NOUN
ejpam-6026	1	61	of	of	ADP
ejpam-6026	1	62	sulaimani	sulaimani	PROPN
ejpam-6026	1	63	,	,	PUNCT
ejpam-6026	1	64	sulaymaniyah	sulaymaniyah	NOUN
ejpam-6026	1	65	46001	46001	NUM
ejpam-6026	1	66	,	,	PUNCT
ejpam-6026	1	67	iraq	iraq	PROPN
ejpam-6026	1	68	abstract	abstract	NOUN
ejpam-6026	1	69	.	.	PUNCT
ejpam-6026	2	1	this	this	DET
ejpam-6026	2	2	study	study	NOUN
ejpam-6026	2	3	investigates	investigate	VERB
ejpam-6026	2	4	the	the	DET
ejpam-6026	2	5	stability	stability	NOUN
ejpam-6026	2	6	of	of	ADP
ejpam-6026	2	7	eco	eco	PROPN
ejpam-6026	2	8	-	-	PUNCT
ejpam-6026	2	9	epidemiological	epidemiological	ADJ
ejpam-6026	2	10	systems	system	NOUN
ejpam-6026	2	11	by	by	ADP
ejpam-6026	2	12	analyzing	analyze	VERB
ejpam-6026	2	13	a	a	DET
ejpam-6026	2	14	deterministic	deterministic	ADJ
ejpam-6026	2	15	ordinary	ordinary	ADJ
ejpam-6026	2	16	differential	differential	ADJ
ejpam-6026	2	17	equation	equation	NOUN
ejpam-6026	2	18	(	(	PUNCT
ejpam-6026	2	19	ode	ode	PROPN
ejpam-6026	2	20	)	)	PUNCT
ejpam-6026	2	21	model	model	NOUN
ejpam-6026	2	22	of	of	ADP
ejpam-6026	2	23	predator	predator	NOUN
ejpam-6026	2	24	-	-	PUNCT
ejpam-6026	2	25	prey	prey	NOUN
ejpam-6026	2	26	interactions	interaction	NOUN
ejpam-6026	2	27	with	with	ADP
ejpam-6026	2	28	disease	disease	NOUN
ejpam-6026	2	29	transmission	transmission	NOUN
ejpam-6026	2	30	.	.	PUNCT
ejpam-6026	3	1	the	the	DET
ejpam-6026	3	2	model	model	NOUN
ejpam-6026	3	3	incorporates	incorporate	VERB
ejpam-6026	3	4	both	both	PRON
ejpam-6026	3	5	beddington	beddington	PROPN
ejpam-6026	3	6	-	-	PUNCT
ejpam-6026	3	7	deangelis	deangelis	PROPN
ejpam-6026	3	8	and	and	CCONJ
ejpam-6026	3	9	holling	holle	VERB
ejpam-6026	3	10	type	type	NOUN
ejpam-6026	3	11	iv	iv	NUM
ejpam-6026	3	12	functional	functional	ADJ
ejpam-6026	3	13	responses	response	NOUN
ejpam-6026	3	14	.	.	PUNCT
ejpam-6026	4	1	addressing	address	VERB
ejpam-6026	4	2	a	a	DET
ejpam-6026	4	3	critical	critical	ADJ
ejpam-6026	4	4	gap	gap	NOUN
ejpam-6026	4	5	in	in	ADP
ejpam-6026	4	6	understanding	understand	VERB
ejpam-6026	4	7	coexistence	coexistence	NOUN
ejpam-6026	4	8	dynamics	dynamic	NOUN
ejpam-6026	4	9	under	under	ADP
ejpam-6026	4	10	disease	disease	NOUN
ejpam-6026	4	11	pressure	pressure	NOUN
ejpam-6026	4	12	,	,	PUNCT
ejpam-6026	4	13	we	we	PRON
ejpam-6026	4	14	employ	employ	VERB
ejpam-6026	4	15	lyapunov	lyapunov	NOUN
ejpam-6026	4	16	stability	stability	NOUN
ejpam-6026	4	17	theory	theory	NOUN
ejpam-6026	4	18	and	and	CCONJ
ejpam-6026	4	19	routh	routh	PROPN
ejpam-6026	4	20	-	-	PUNCT
ejpam-6026	4	21	hurwitz	hurwitz	PROPN
ejpam-6026	4	22	criteria	criterion	NOUN
ejpam-6026	4	23	to	to	PART
ejpam-6026	4	24	demonstrate	demonstrate	VERB
ejpam-6026	4	25	that	that	SCONJ
ejpam-6026	4	26	fatal	fatal	ADJ
ejpam-6026	4	27	prey	prey	NOUN
ejpam-6026	4	28	infection	infection	NOUN
ejpam-6026	4	29	universally	universally	ADV
ejpam-6026	4	30	precludes	preclude	VERB
ejpam-6026	4	31	three	three	NUM
ejpam-6026	4	32	-	-	PUNCT
ejpam-6026	4	33	species	specie	NOUN
ejpam-6026	4	34	coexistence	coexistence	NOUN
ejpam-6026	4	35	,	,	PUNCT
ejpam-6026	4	36	regardless	regardless	ADV
ejpam-6026	4	37	of	of	ADP
ejpam-6026	4	38	functional	functional	ADJ
ejpam-6026	4	39	response	response	NOUN
ejpam-6026	4	40	type	type	NOUN
ejpam-6026	4	41	.	.	PUNCT
ejpam-6026	5	1	our	our	PRON
ejpam-6026	5	2	results	result	NOUN
ejpam-6026	5	3	reveal	reveal	VERB
ejpam-6026	5	4	that	that	SCONJ
ejpam-6026	5	5	system	system	NOUN
ejpam-6026	5	6	dynamics	dynamic	NOUN
ejpam-6026	5	7	exhibit	exhibit	VERB
ejpam-6026	5	8	sensitive	sensitive	ADJ
ejpam-6026	5	9	dependence	dependence	NOUN
ejpam-6026	5	10	on	on	ADP
ejpam-6026	5	11	infection	infection	NOUN
ejpam-6026	5	12	and	and	CCONJ
ejpam-6026	5	13	predation	predation	NOUN
ejpam-6026	5	14	rates	rate	NOUN
ejpam-6026	5	15	,	,	PUNCT
ejpam-6026	5	16	showing	show	VERB
ejpam-6026	5	17	heightened	heighten	VERB
ejpam-6026	5	18	extinction	extinction	NOUN
ejpam-6026	5	19	risks	risk	NOUN
ejpam-6026	5	20	due	due	ADJ
ejpam-6026	5	21	to	to	ADP
ejpam-6026	5	22	prey	prey	VERB
ejpam-6026	5	23	defense	defense	NOUN
ejpam-6026	5	24	mechanisms	mechanism	NOUN
ejpam-6026	5	25	.	.	PUNCT
ejpam-6026	6	1	these	these	DET
ejpam-6026	6	2	findings	finding	NOUN
ejpam-6026	6	3	advance	advance	VERB
ejpam-6026	6	4	theoretical	theoretical	ADJ
ejpam-6026	6	5	ecology	ecology	NOUN
ejpam-6026	6	6	by	by	ADP
ejpam-6026	6	7	quantifying	quantify	VERB
ejpam-6026	6	8	disease	disease	NOUN
ejpam-6026	6	9	-	-	PUNCT
ejpam-6026	6	10	predation	predation	NOUN
ejpam-6026	6	11	tradeoffs	tradeoff	NOUN
ejpam-6026	6	12	and	and	CCONJ
ejpam-6026	6	13	provide	provide	VERB
ejpam-6026	6	14	predictive	predictive	ADJ
ejpam-6026	6	15	stability	stability	NOUN
ejpam-6026	6	16	thresholds	threshold	NOUN
ejpam-6026	6	17	with	with	ADP
ejpam-6026	6	18	direct	direct	ADJ
ejpam-6026	6	19	implications	implication	NOUN
ejpam-6026	6	20	for	for	ADP
ejpam-6026	6	21	ecosystem	ecosystem	NOUN
ejpam-6026	6	22	management	management	NOUN
ejpam-6026	6	23	and	and	CCONJ
ejpam-6026	6	24	conservation	conservation	NOUN
ejpam-6026	6	25	strategies	strategy	NOUN
ejpam-6026	6	26	in	in	ADP
ejpam-6026	6	27	disease	disease	NOUN
ejpam-6026	6	28	-	-	PUNCT
ejpam-6026	6	29	affected	affect	VERB
ejpam-6026	6	30	environments	environment	NOUN
ejpam-6026	6	31	.	.	PUNCT
ejpam-6026	7	1	2020	2020	NUM
ejpam-6026	7	2	mathematics	mathematic	NOUN
ejpam-6026	7	3	subject	subject	NOUN
ejpam-6026	7	4	classifications	classification	NOUN
ejpam-6026	7	5	:	:	PUNCT
ejpam-6026	7	6	92d30	92d30	NUM
ejpam-6026	7	7	,	,	PUNCT
ejpam-6026	7	8	92d25	92d25	NUM
ejpam-6026	7	9	,	,	PUNCT
ejpam-6026	7	10	34d20	34d20	NUM
ejpam-6026	7	11	,	,	PUNCT
ejpam-6026	7	12	37n25	37n25	NUM
ejpam-6026	7	13	,	,	PUNCT
ejpam-6026	7	14	92d40	92d40	NUM
ejpam-6026	7	15	key	key	ADJ
ejpam-6026	7	16	words	word	NOUN
ejpam-6026	7	17	and	and	CCONJ
ejpam-6026	7	18	phrases	phrase	NOUN
ejpam-6026	7	19	:	:	PUNCT
ejpam-6026	7	20	eco	eco	NOUN
ejpam-6026	7	21	-	-	PUNCT
ejpam-6026	7	22	epidemiological	epidemiological	ADJ
ejpam-6026	7	23	model	model	NOUN
ejpam-6026	7	24	,	,	PUNCT
ejpam-6026	7	25	prey	prey	NOUN
ejpam-6026	7	26	-	-	PUNCT
ejpam-6026	7	27	predator	predator	NOUN
ejpam-6026	7	28	,	,	PUNCT
ejpam-6026	7	29	local	local	ADJ
ejpam-6026	7	30	stability	stability	NOUN
ejpam-6026	7	31	,	,	PUNCT
ejpam-6026	7	32	beddingtondeangelis	beddingtondeangeli	NOUN
ejpam-6026	7	33	,	,	PUNCT
ejpam-6026	7	34	holling	holle	VERB
ejpam-6026	7	35	type	type	NOUN
ejpam-6026	7	36	iv	iv	NUM
ejpam-6026	7	37	1	1	NUM
ejpam-6026	7	38	.	.	PUNCT
ejpam-6026	8	1	introduction	introduction	NOUN
ejpam-6026	8	2	ecology	ecology	NOUN
ejpam-6026	8	3	and	and	CCONJ
ejpam-6026	8	4	epidemiology	epidemiology	NOUN
ejpam-6026	8	5	,	,	PUNCT
ejpam-6026	8	6	though	though	SCONJ
ejpam-6026	8	7	distinct	distinct	ADJ
ejpam-6026	8	8	,	,	PUNCT
ejpam-6026	8	9	share	share	VERB
ejpam-6026	8	10	several	several	ADJ
ejpam-6026	8	11	common	common	ADJ
ejpam-6026	8	12	features	feature	NOUN
ejpam-6026	8	13	and	and	CCONJ
ejpam-6026	8	14	are	be	AUX
ejpam-6026	8	15	increasingly	increasingly	ADV
ejpam-6026	8	16	integrated	integrate	VERB
ejpam-6026	8	17	into	into	ADP
ejpam-6026	8	18	the	the	DET
ejpam-6026	8	19	field	field	NOUN
ejpam-6026	8	20	of	of	ADP
ejpam-6026	8	21	eco	eco	PROPN
ejpam-6026	8	22	-	-	PUNCT
ejpam-6026	8	23	epidemiology	epidemiology	NOUN
ejpam-6026	8	24	,	,	PUNCT
ejpam-6026	8	25	which	which	PRON
ejpam-6026	8	26	addresses	address	VERB
ejpam-6026	8	27	both	both	CCONJ
ejpam-6026	8	28	ecological	ecological	ADJ
ejpam-6026	8	29	and	and	CCONJ
ejpam-6026	8	30	epidemiological	epidemiological	ADJ
ejpam-6026	8	31	dimensions	dimension	NOUN
ejpam-6026	8	32	,	,	PUNCT
ejpam-6026	8	33	highlighting	highlight	VERB
ejpam-6026	8	34	the	the	DET
ejpam-6026	8	35	profound	profound	ADJ
ejpam-6026	8	36	influence	influence	NOUN
ejpam-6026	8	37	of	of	ADP
ejpam-6026	8	38	disease	disease	NOUN
ejpam-6026	8	39	on	on	ADP
ejpam-6026	8	40	ecological	ecological	ADJ
ejpam-6026	8	41	systems	system	NOUN
ejpam-6026	8	42	from	from	ADP
ejpam-6026	8	43	both	both	DET
ejpam-6026	8	44	mathematical	mathematical	ADJ
ejpam-6026	8	45	and	and	CCONJ
ejpam-6026	8	46	ecological	ecological	ADJ
ejpam-6026	8	47	standpoints	standpoint	NOUN
ejpam-6026	9	1	[	[	X
ejpam-6026	9	2	1	1	NUM
ejpam-6026	9	3	]	]	PUNCT
ejpam-6026	9	4	,	,	PUNCT
ejpam-6026	9	5	[	[	X
ejpam-6026	9	6	2	2	NUM
ejpam-6026	9	7	]	]	PUNCT
ejpam-6026	9	8	.	.	PUNCT
ejpam-6026	10	1	the	the	DET
ejpam-6026	10	2	introduction	introduction	NOUN
ejpam-6026	10	3	of	of	ADP
ejpam-6026	10	4	a	a	DET
ejpam-6026	10	5	parasite	parasite	NOUN
ejpam-6026	10	6	into	into	ADP
ejpam-6026	10	7	a	a	DET
ejpam-6026	10	8	population	population	NOUN
ejpam-6026	10	9	of	of	ADP
ejpam-6026	10	10	hosts	host	NOUN
ejpam-6026	10	11	and	and	CCONJ
ejpam-6026	10	12	its	its	PRON
ejpam-6026	10	13	subsequent	subsequent	ADJ
ejpam-6026	10	14	behavior	behavior	NOUN
ejpam-6026	10	15	are	be	AUX
ejpam-6026	10	16	intricately	intricately	ADV
ejpam-6026	10	17	shaped	shape	VERB
ejpam-6026	10	18	by	by	ADP
ejpam-6026	10	19	interactions	interaction	NOUN
ejpam-6026	10	20	with	with	ADP
ejpam-6026	10	21	other	other	ADJ
ejpam-6026	10	22	community	community	NOUN
ejpam-6026	10	23	members	member	NOUN
ejpam-6026	10	24	,	,	PUNCT
ejpam-6026	10	25	particularly	particularly	ADV
ejpam-6026	10	26	predators	predator	NOUN
ejpam-6026	10	27	.	.	PUNCT
ejpam-6026	11	1	the	the	DET
ejpam-6026	11	2	intensity	intensity	NOUN
ejpam-6026	11	3	of	of	ADP
ejpam-6026	11	4	predation	predation	NOUN
ejpam-6026	11	5	plays	play	VERB
ejpam-6026	11	6	a	a	DET
ejpam-6026	11	7	critical	critical	ADJ
ejpam-6026	11	8	role	role	NOUN
ejpam-6026	11	9	in	in	ADP
ejpam-6026	11	10	determining	determine	VERB
ejpam-6026	11	11	community	community	NOUN
ejpam-6026	11	12	structure	structure	NOUN
ejpam-6026	11	13	and	and	CCONJ
ejpam-6026	11	14	ecosystem	ecosystem	NOUN
ejpam-6026	11	15	characteristics	characteristic	NOUN
ejpam-6026	11	16	.	.	PUNCT
ejpam-6026	12	1	within	within	ADP
ejpam-6026	12	2	host	host	NOUN
ejpam-6026	12	3	-	-	PUNCT
ejpam-6026	12	4	parasite	parasite	NOUN
ejpam-6026	12	5	systems	system	NOUN
ejpam-6026	12	6	,	,	PUNCT
ejpam-6026	12	7	predation	predation	NOUN
ejpam-6026	12	8	can	can	AUX
ejpam-6026	12	9	have	have	VERB
ejpam-6026	12	10	a	a	DET
ejpam-6026	12	11	substantial	substantial	ADJ
ejpam-6026	12	12	impact	impact	NOUN
ejpam-6026	12	13	,	,	PUNCT
ejpam-6026	12	14	modifying	modify	VERB
ejpam-6026	12	15	the	the	DET
ejpam-6026	12	16	population	population	NOUN
ejpam-6026	12	17	dynamics	dynamic	NOUN
ejpam-6026	12	18	of	of	ADP
ejpam-6026	12	19	both	both	DET
ejpam-6026	12	20	hosts	host	NOUN
ejpam-6026	12	21	and	and	CCONJ
ejpam-6026	12	22	parasites	parasite	NOUN
ejpam-6026	12	23	,	,	PUNCT
ejpam-6026	12	24	potentially	potentially	ADV
ejpam-6026	12	25	acting	act	VERB
ejpam-6026	12	26	as	as	ADP
ejpam-6026	12	27	a	a	DET
ejpam-6026	12	28	barrier	barrier	NOUN
ejpam-6026	12	29	to	to	ADP
ejpam-6026	12	30	parasite	parasite	ADJ
ejpam-6026	12	31	establishment	establishment	NOUN
ejpam-6026	12	32	[	[	X
ejpam-6026	12	33	3	3	NUM
ejpam-6026	12	34	]	]	PUNCT
ejpam-6026	12	35	,	,	PUNCT
ejpam-6026	12	36	[	[	X
ejpam-6026	12	37	4	4	NUM
ejpam-6026	12	38	]	]	PUNCT
ejpam-6026	12	39	.	.	PUNCT
ejpam-6026	13	1	doi	doi	PROPN
ejpam-6026	13	2	:	:	PUNCT
ejpam-6026	13	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6026	https://doi.org/10.29020/nybg.ejpam.v18i2.6026	PROPN
ejpam-6026	13	4	email	email	NOUN
ejpam-6026	13	5	address	address	NOUN
ejpam-6026	13	6	:	:	PUNCT
ejpam-6026	13	7	kawa.hassan@univsul.edu.iq	kawa.hassan@univsul.edu.iq	PROPN
ejpam-6026	13	8	(	(	PUNCT
ejpam-6026	13	9	k.	k.	PROPN
ejpam-6026	13	10	a.	a.	PROPN
ejpam-6026	13	11	hassan	hassan	PROPN
ejpam-6026	13	12	)	)	PUNCT
ejpam-6026	13	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6026	14	1	1	1	NUM
ejpam-6026	14	2	copyright	copyright	NOUN
ejpam-6026	14	3	:	:	PUNCT
ejpam-6026	14	4	©	©	PROPN
ejpam-6026	14	5	2025	2025	NUM
ejpam-6026	14	6	the	the	DET
ejpam-6026	14	7	author(s	author(s	NOUN
ejpam-6026	14	8	)	)	PUNCT
ejpam-6026	14	9	.	.	PUNCT
ejpam-6026	15	1	(	(	PUNCT
ejpam-6026	15	2	cc	cc	NOUN
ejpam-6026	15	3	by	by	ADP
ejpam-6026	15	4	-	-	PUNCT
ejpam-6026	15	5	nc	nc	PROPN
ejpam-6026	15	6	4.0	4.0	NUM
ejpam-6026	15	7	)	)	PUNCT
ejpam-6026	15	8	k.	k.	PROPN
ejpam-6026	15	9	a.	a.	PROPN
ejpam-6026	15	10	hassan	hassan	PROPN
ejpam-6026	15	11	/	/	SYM
ejpam-6026	15	12	eur	eur	PROPN
ejpam-6026	15	13	.	.	PUNCT
ejpam-6026	16	1	j.	j.	PROPN
ejpam-6026	16	2	pure	pure	PROPN
ejpam-6026	16	3	appl	appl	PROPN
ejpam-6026	16	4	.	.	PROPN
ejpam-6026	16	5	math	math	PROPN
ejpam-6026	16	6	,	,	PUNCT
ejpam-6026	16	7	18	18	NUM
ejpam-6026	16	8	(	(	PUNCT
ejpam-6026	16	9	2	2	NUM
ejpam-6026	16	10	)	)	PUNCT
ejpam-6026	16	11	(	(	PUNCT
ejpam-6026	16	12	2025	2025	NUM
ejpam-6026	16	13	)	)	PUNCT
ejpam-6026	16	14	,	,	PUNCT
ejpam-6026	16	15	6026	6026	NUM
ejpam-6026	16	16	2	2	NUM
ejpam-6026	16	17	of	of	ADP
ejpam-6026	16	18	20	20	NUM
ejpam-6026	16	19	in	in	ADP
ejpam-6026	16	20	theoretical	theoretical	ADJ
ejpam-6026	16	21	investigations	investigation	NOUN
ejpam-6026	16	22	of	of	ADP
ejpam-6026	16	23	host	host	NOUN
ejpam-6026	16	24	-	-	PUNCT
ejpam-6026	16	25	parasite	parasite	NOUN
ejpam-6026	16	26	-	-	PUNCT
ejpam-6026	16	27	predator	predator	NOUN
ejpam-6026	16	28	interactions	interaction	NOUN
ejpam-6026	16	29	,	,	PUNCT
ejpam-6026	16	30	predator	predator	NOUN
ejpam-6026	16	31	behavior	behavior	NOUN
ejpam-6026	16	32	is	be	AUX
ejpam-6026	16	33	frequently	frequently	ADV
ejpam-6026	16	34	modeled	model	VERB
ejpam-6026	16	35	in	in	ADP
ejpam-6026	16	36	a	a	DET
ejpam-6026	16	37	simplified	simplified	ADJ
ejpam-6026	16	38	manner	manner	NOUN
ejpam-6026	16	39	.	.	PUNCT
ejpam-6026	17	1	a	a	DET
ejpam-6026	17	2	key	key	ADJ
ejpam-6026	17	3	component	component	NOUN
ejpam-6026	17	4	in	in	ADP
ejpam-6026	17	5	these	these	DET
ejpam-6026	17	6	models	model	NOUN
ejpam-6026	17	7	is	be	AUX
ejpam-6026	17	8	the	the	DET
ejpam-6026	17	9	functional	functional	ADJ
ejpam-6026	17	10	response	response	NOUN
ejpam-6026	17	11	,	,	PUNCT
ejpam-6026	17	12	defined	define	VERB
ejpam-6026	17	13	as	as	ADP
ejpam-6026	17	14	the	the	DET
ejpam-6026	17	15	rate	rate	NOUN
ejpam-6026	17	16	at	at	ADP
ejpam-6026	17	17	which	which	PRON
ejpam-6026	17	18	a	a	DET
ejpam-6026	17	19	predator	predator	NOUN
ejpam-6026	17	20	consumes	consume	VERB
ejpam-6026	17	21	prey	prey	VERB
ejpam-6026	17	22	per	per	ADP
ejpam-6026	17	23	unit	unit	NOUN
ejpam-6026	17	24	of	of	ADP
ejpam-6026	17	25	time	time	NOUN
ejpam-6026	17	26	[	[	X
ejpam-6026	17	27	4	4	NUM
ejpam-6026	17	28	]	]	PUNCT
ejpam-6026	17	29	.	.	PUNCT
ejpam-6026	18	1	recent	recent	ADJ
ejpam-6026	18	2	advances	advance	NOUN
ejpam-6026	18	3	in	in	ADP
ejpam-6026	18	4	discrete	discrete	ADJ
ejpam-6026	18	5	-	-	PUNCT
ejpam-6026	18	6	time	time	NOUN
ejpam-6026	18	7	modeling	modeling	NOUN
ejpam-6026	18	8	[	[	X
ejpam-6026	18	9	5	5	NUM
ejpam-6026	18	10	]	]	PUNCT
ejpam-6026	18	11	and	and	CCONJ
ejpam-6026	18	12	conformable	conformable	VERB
ejpam-6026	18	13	derivative	derivative	ADJ
ejpam-6026	18	14	approaches	approach	NOUN
ejpam-6026	18	15	[	[	X
ejpam-6026	18	16	6	6	NUM
ejpam-6026	18	17	]	]	PUNCT
ejpam-6026	18	18	have	have	AUX
ejpam-6026	18	19	expanded	expand	VERB
ejpam-6026	18	20	our	our	PRON
ejpam-6026	18	21	understanding	understanding	NOUN
ejpam-6026	18	22	of	of	ADP
ejpam-6026	18	23	these	these	DET
ejpam-6026	18	24	dynamics	dynamic	NOUN
ejpam-6026	18	25	.	.	PUNCT
ejpam-6026	19	1	this	this	DET
ejpam-6026	19	2	response	response	NOUN
ejpam-6026	19	3	captures	capture	VERB
ejpam-6026	19	4	characteristics	characteristic	NOUN
ejpam-6026	19	5	of	of	ADP
ejpam-6026	19	6	both	both	CCONJ
ejpam-6026	19	7	predator	predator	NOUN
ejpam-6026	19	8	and	and	CCONJ
ejpam-6026	19	9	prey	prey	PROPN
ejpam-6026	19	10	behavior	behavior	NOUN
ejpam-6026	19	11	,	,	PUNCT
ejpam-6026	19	12	shaped	shape	VERB
ejpam-6026	19	13	by	by	ADP
ejpam-6026	19	14	factors	factor	NOUN
ejpam-6026	19	15	such	such	ADJ
ejpam-6026	19	16	as	as	ADP
ejpam-6026	19	17	prey	prey	NOUN
ejpam-6026	19	18	escape	escape	NOUN
ejpam-6026	19	19	mechanisms	mechanism	NOUN
ejpam-6026	19	20	,	,	PUNCT
ejpam-6026	19	21	habitat	habitat	NOUN
ejpam-6026	19	22	complexity	complexity	NOUN
ejpam-6026	19	23	,	,	PUNCT
ejpam-6026	19	24	and	and	CCONJ
ejpam-6026	19	25	handling	handle	VERB
ejpam-6026	19	26	time	time	NOUN
ejpam-6026	19	27	.	.	PUNCT
ejpam-6026	20	1	the	the	DET
ejpam-6026	20	2	present	present	ADJ
ejpam-6026	20	3	study	study	NOUN
ejpam-6026	20	4	introduces	introduce	VERB
ejpam-6026	20	5	a	a	DET
ejpam-6026	20	6	host	host	NOUN
ejpam-6026	20	7	-	-	PUNCT
ejpam-6026	20	8	parasite	parasite	NOUN
ejpam-6026	20	9	-	-	PUNCT
ejpam-6026	20	10	predator	predator	NOUN
ejpam-6026	20	11	model	model	NOUN
ejpam-6026	20	12	to	to	PART
ejpam-6026	20	13	explore	explore	VERB
ejpam-6026	20	14	the	the	DET
ejpam-6026	20	15	influence	influence	NOUN
ejpam-6026	20	16	of	of	ADP
ejpam-6026	20	17	infection	infection	NOUN
ejpam-6026	20	18	rate	rate	NOUN
ejpam-6026	20	19	,	,	PUNCT
ejpam-6026	20	20	attack	attack	NOUN
ejpam-6026	20	21	rate	rate	NOUN
ejpam-6026	20	22	,	,	PUNCT
ejpam-6026	20	23	and	and	CCONJ
ejpam-6026	20	24	the	the	DET
ejpam-6026	20	25	nature	nature	NOUN
ejpam-6026	20	26	of	of	ADP
ejpam-6026	20	27	the	the	DET
ejpam-6026	20	28	predator	predator	NOUN
ejpam-6026	20	29	functional	functional	ADJ
ejpam-6026	20	30	response	response	NOUN
ejpam-6026	20	31	on	on	ADP
ejpam-6026	20	32	the	the	DET
ejpam-6026	20	33	system	system	NOUN
ejpam-6026	20	34	’s	’s	PART
ejpam-6026	20	35	behavior	behavior	NOUN
ejpam-6026	20	36	[	[	X
ejpam-6026	20	37	7	7	NUM
ejpam-6026	20	38	]	]	PUNCT
ejpam-6026	20	39	.	.	PUNCT
ejpam-6026	21	1	this	this	DET
ejpam-6026	21	2	research	research	NOUN
ejpam-6026	21	3	contributes	contribute	VERB
ejpam-6026	21	4	original	original	ADJ
ejpam-6026	21	5	insights	insight	NOUN
ejpam-6026	21	6	through	through	ADP
ejpam-6026	21	7	an	an	DET
ejpam-6026	21	8	eco	eco	NOUN
ejpam-6026	21	9	-	-	PUNCT
ejpam-6026	21	10	epidemiological	epidemiological	ADJ
ejpam-6026	21	11	model	model	NOUN
ejpam-6026	21	12	that	that	PRON
ejpam-6026	21	13	analyzes	analyze	VERB
ejpam-6026	21	14	dual	dual	ADJ
ejpam-6026	21	15	predation	predation	NOUN
ejpam-6026	21	16	(	(	PUNCT
ejpam-6026	21	17	susceptible	susceptible	ADJ
ejpam-6026	21	18	versus	versus	ADP
ejpam-6026	21	19	infected	infected	ADJ
ejpam-6026	21	20	prey	prey	NOUN
ejpam-6026	21	21	)	)	PUNCT
ejpam-6026	21	22	and	and	CCONJ
ejpam-6026	21	23	disease	disease	NOUN
ejpam-6026	21	24	transmission	transmission	NOUN
ejpam-6026	21	25	to	to	ADP
ejpam-6026	21	26	predators	predator	NOUN
ejpam-6026	21	27	,	,	PUNCT
ejpam-6026	21	28	while	while	SCONJ
ejpam-6026	21	29	comparing	compare	VERB
ejpam-6026	21	30	beddington	beddington	PROPN
ejpam-6026	21	31	-	-	PUNCT
ejpam-6026	21	32	deangelis	deangelis	PROPN
ejpam-6026	21	33	and	and	CCONJ
ejpam-6026	21	34	holling	holle	VERB
ejpam-6026	21	35	type	type	NOUN
ejpam-6026	21	36	iv	iv	NUM
ejpam-6026	21	37	functional	functional	ADJ
ejpam-6026	21	38	responses	response	NOUN
ejpam-6026	21	39	.	.	PUNCT
ejpam-6026	22	1	our	our	PRON
ejpam-6026	22	2	analysis	analysis	NOUN
ejpam-6026	22	3	identifies	identify	VERB
ejpam-6026	22	4	critical	critical	ADJ
ejpam-6026	22	5	stability	stability	NOUN
ejpam-6026	22	6	thresholds	threshold	NOUN
ejpam-6026	22	7	that	that	PRON
ejpam-6026	22	8	reveal	reveal	VERB
ejpam-6026	22	9	how	how	SCONJ
ejpam-6026	22	10	predator	predator	NOUN
ejpam-6026	22	11	behavior	behavior	NOUN
ejpam-6026	22	12	mediates	mediate	VERB
ejpam-6026	22	13	disease	disease	NOUN
ejpam-6026	22	14	-	-	PUNCT
ejpam-6026	22	15	driven	drive	VERB
ejpam-6026	22	16	ecosystem	ecosystem	NOUN
ejpam-6026	22	17	collapse	collapse	NOUN
ejpam-6026	22	18	,	,	PUNCT
ejpam-6026	22	19	advancing	advance	VERB
ejpam-6026	22	20	both	both	CCONJ
ejpam-6026	22	21	theoretical	theoretical	ADJ
ejpam-6026	22	22	ecology	ecology	NOUN
ejpam-6026	22	23	and	and	CCONJ
ejpam-6026	22	24	conservation	conservation	NOUN
ejpam-6026	22	25	applications	application	NOUN
ejpam-6026	22	26	.	.	PUNCT
ejpam-6026	23	1	venturino	venturino	NOUN
ejpam-6026	23	2	(	(	PUNCT
ejpam-6026	23	3	1995	1995	NUM
ejpam-6026	23	4	)	)	PUNCT
ejpam-6026	23	5	examined	examine	VERB
ejpam-6026	23	6	sis	sis	NOUN
ejpam-6026	23	7	models	model	NOUN
ejpam-6026	23	8	in	in	ADP
ejpam-6026	23	9	which	which	PRON
ejpam-6026	23	10	disease	disease	NOUN
ejpam-6026	23	11	transmission	transmission	NOUN
ejpam-6026	23	12	occurs	occur	VERB
ejpam-6026	23	13	within	within	ADP
ejpam-6026	23	14	the	the	DET
ejpam-6026	23	15	prey	prey	NOUN
ejpam-6026	23	16	population	population	NOUN
ejpam-6026	23	17	,	,	PUNCT
ejpam-6026	23	18	incorporating	incorporate	VERB
ejpam-6026	23	19	logistic	logistic	ADJ
ejpam-6026	23	20	growth	growth	NOUN
ejpam-6026	23	21	for	for	ADP
ejpam-6026	23	22	both	both	CCONJ
ejpam-6026	23	23	prey	prey	NOUN
ejpam-6026	23	24	and	and	CCONJ
ejpam-6026	23	25	predator	predator	NOUN
ejpam-6026	23	26	populations	population	NOUN
ejpam-6026	23	27	,	,	PUNCT
ejpam-6026	23	28	with	with	ADP
ejpam-6026	23	29	predators	predator	NOUN
ejpam-6026	23	30	exclusively	exclusively	ADV
ejpam-6026	23	31	feeding	feed	VERB
ejpam-6026	23	32	on	on	ADP
ejpam-6026	23	33	infected	infected	ADJ
ejpam-6026	23	34	prey	prey	NOUN
ejpam-6026	23	35	.	.	PUNCT
ejpam-6026	24	1	hethcote	hethcote	ADV
ejpam-6026	24	2	et	et	PROPN
ejpam-6026	24	3	al	al	PROPN
ejpam-6026	24	4	.	.	PROPN
ejpam-6026	25	1	(	(	PUNCT
ejpam-6026	25	2	2004	2004	NUM
ejpam-6026	25	3	)	)	PUNCT
ejpam-6026	25	4	explores	explore	VERB
ejpam-6026	25	5	a	a	DET
ejpam-6026	25	6	predator	predator	NOUN
ejpam-6026	25	7	-	-	PUNCT
ejpam-6026	25	8	prey	prey	NOUN
ejpam-6026	25	9	model	model	NOUN
ejpam-6026	25	10	modification	modification	NOUN
ejpam-6026	25	11	to	to	PART
ejpam-6026	25	12	include	include	VERB
ejpam-6026	25	13	logistic	logistic	ADJ
ejpam-6026	25	14	growth	growth	NOUN
ejpam-6026	25	15	in	in	ADP
ejpam-6026	25	16	the	the	DET
ejpam-6026	25	17	prey	prey	NOUN
ejpam-6026	25	18	population	population	NOUN
ejpam-6026	25	19	and	and	CCONJ
ejpam-6026	25	20	an	an	DET
ejpam-6026	25	21	sis	sis	NOUN
ejpam-6026	25	22	disease	disease	NOUN
ejpam-6026	25	23	framework	framework	NOUN
ejpam-6026	25	24	,	,	PUNCT
ejpam-6026	25	25	under	under	ADP
ejpam-6026	25	26	the	the	DET
ejpam-6026	25	27	assumption	assumption	NOUN
ejpam-6026	25	28	that	that	SCONJ
ejpam-6026	25	29	infected	infected	ADJ
ejpam-6026	25	30	prey	prey	NOUN
ejpam-6026	25	31	is	be	AUX
ejpam-6026	25	32	more	more	ADV
ejpam-6026	25	33	vulnerable	vulnerable	ADJ
ejpam-6026	25	34	to	to	ADP
ejpam-6026	25	35	predation	predation	NOUN
ejpam-6026	25	36	and	and	CCONJ
ejpam-6026	25	37	serves	serve	VERB
ejpam-6026	25	38	as	as	ADP
ejpam-6026	25	39	a	a	DET
ejpam-6026	25	40	resource	resource	NOUN
ejpam-6026	25	41	for	for	ADP
ejpam-6026	25	42	predator	predator	NOUN
ejpam-6026	25	43	population	population	NOUN
ejpam-6026	25	44	growth	growth	NOUN
ejpam-6026	26	1	[	[	X
ejpam-6026	26	2	2	2	NUM
ejpam-6026	26	3	]	]	PUNCT
ejpam-6026	26	4	,	,	PUNCT
ejpam-6026	26	5	[	[	X
ejpam-6026	26	6	8	8	NUM
ejpam-6026	26	7	]	]	PUNCT
ejpam-6026	26	8	.	.	PUNCT
ejpam-6026	27	1	however	however	ADV
ejpam-6026	27	2	,	,	PUNCT
ejpam-6026	27	3	these	these	DET
ejpam-6026	27	4	models	model	NOUN
ejpam-6026	27	5	possess	possess	VERB
ejpam-6026	27	6	certain	certain	ADJ
ejpam-6026	27	7	limitations	limitation	NOUN
ejpam-6026	27	8	,	,	PUNCT
ejpam-6026	27	9	as	as	SCONJ
ejpam-6026	27	10	predators	predator	NOUN
ejpam-6026	27	11	generally	generally	ADV
ejpam-6026	27	12	consume	consume	VERB
ejpam-6026	27	13	both	both	CCONJ
ejpam-6026	27	14	infected	infected	ADJ
ejpam-6026	27	15	and	and	CCONJ
ejpam-6026	27	16	susceptible	susceptible	ADJ
ejpam-6026	27	17	prey	prey	NOUN
ejpam-6026	27	18	.	.	PUNCT
ejpam-6026	28	1	feeding	feed	VERB
ejpam-6026	28	2	on	on	ADP
ejpam-6026	28	3	infected	infected	ADJ
ejpam-6026	28	4	prey	prey	NOUN
ejpam-6026	28	5	can	can	AUX
ejpam-6026	28	6	adversely	adversely	ADV
ejpam-6026	28	7	affect	affect	VERB
ejpam-6026	28	8	predator	predator	NOUN
ejpam-6026	28	9	populations	population	NOUN
ejpam-6026	28	10	,	,	PUNCT
ejpam-6026	28	11	often	often	ADV
ejpam-6026	28	12	resulting	result	VERB
ejpam-6026	28	13	in	in	ADP
ejpam-6026	28	14	negative	negative	ADJ
ejpam-6026	28	15	growth	growth	NOUN
ejpam-6026	28	16	.	.	PUNCT
ejpam-6026	29	1	whenever	whenever	SCONJ
ejpam-6026	29	2	a	a	DET
ejpam-6026	29	3	parasite	parasite	NOUN
ejpam-6026	29	4	causes	cause	VERB
ejpam-6026	29	5	infection	infection	NOUN
ejpam-6026	29	6	in	in	ADP
ejpam-6026	29	7	the	the	DET
ejpam-6026	29	8	prey	prey	NOUN
ejpam-6026	29	9	population	population	NOUN
ejpam-6026	29	10	,	,	PUNCT
ejpam-6026	29	11	the	the	DET
ejpam-6026	29	12	infection	infection	NOUN
ejpam-6026	29	13	can	can	AUX
ejpam-6026	29	14	transmit	transmit	VERB
ejpam-6026	29	15	to	to	ADP
ejpam-6026	29	16	the	the	DET
ejpam-6026	29	17	predator	predator	NOUN
ejpam-6026	29	18	population	population	NOUN
ejpam-6026	29	19	via	via	ADP
ejpam-6026	29	20	their	their	PRON
ejpam-6026	29	21	interactions	interaction	NOUN
ejpam-6026	29	22	,	,	PUNCT
ejpam-6026	29	23	potentially	potentially	ADV
ejpam-6026	29	24	causing	cause	VERB
ejpam-6026	29	25	the	the	DET
ejpam-6026	29	26	collapse	collapse	NOUN
ejpam-6026	29	27	of	of	ADP
ejpam-6026	29	28	both	both	DET
ejpam-6026	29	29	populations	population	NOUN
ejpam-6026	29	30	when	when	SCONJ
ejpam-6026	29	31	the	the	DET
ejpam-6026	29	32	infection	infection	NOUN
ejpam-6026	29	33	is	be	AUX
ejpam-6026	29	34	lethal	lethal	ADJ
ejpam-6026	29	35	.	.	PUNCT
ejpam-6026	30	1	our	our	PRON
ejpam-6026	30	2	work	work	NOUN
ejpam-6026	30	3	introduces	introduce	NOUN
ejpam-6026	30	4	and	and	CCONJ
ejpam-6026	30	5	analyzes	analyze	VERB
ejpam-6026	30	6	a	a	DET
ejpam-6026	30	7	mathematical	mathematical	ADJ
ejpam-6026	30	8	model	model	NOUN
ejpam-6026	30	9	incorporating	incorporate	VERB
ejpam-6026	30	10	these	these	DET
ejpam-6026	30	11	eco	eco	NOUN
ejpam-6026	30	12	-	-	PUNCT
ejpam-6026	30	13	epidemiological	epidemiological	ADJ
ejpam-6026	30	14	features	feature	NOUN
ejpam-6026	30	15	.	.	PUNCT
ejpam-6026	31	1	investigating	investigate	VERB
ejpam-6026	31	2	and	and	CCONJ
ejpam-6026	31	3	comparing	compare	VERB
ejpam-6026	31	4	the	the	DET
ejpam-6026	31	5	model	model	NOUN
ejpam-6026	31	6	’s	’s	PART
ejpam-6026	31	7	dynamics	dynamic	NOUN
ejpam-6026	31	8	to	to	PART
ejpam-6026	31	9	identify	identify	VERB
ejpam-6026	31	10	critical	critical	ADJ
ejpam-6026	31	11	system	system	NOUN
ejpam-6026	31	12	parameters	parameter	NOUN
ejpam-6026	31	13	and	and	CCONJ
ejpam-6026	31	14	their	their	PRON
ejpam-6026	31	15	ranges	range	NOUN
ejpam-6026	31	16	is	be	AUX
ejpam-6026	31	17	our	our	PRON
ejpam-6026	31	18	objective	objective	NOUN
ejpam-6026	31	19	,	,	PUNCT
ejpam-6026	31	20	enabling	enable	VERB
ejpam-6026	31	21	the	the	DET
ejpam-6026	31	22	prediction	prediction	NOUN
ejpam-6026	31	23	of	of	ADP
ejpam-6026	31	24	various	various	ADJ
ejpam-6026	31	25	theoretical	theoretical	ADJ
ejpam-6026	31	26	outcomes	outcome	NOUN
ejpam-6026	31	27	arising	arise	VERB
ejpam-6026	31	28	from	from	ADP
ejpam-6026	31	29	the	the	DET
ejpam-6026	31	30	interplay	interplay	NOUN
ejpam-6026	31	31	among	among	ADP
ejpam-6026	31	32	susceptible	susceptible	ADJ
ejpam-6026	31	33	prey	prey	NOUN
ejpam-6026	31	34	,	,	PUNCT
ejpam-6026	31	35	infected	infected	ADJ
ejpam-6026	31	36	prey	prey	NOUN
ejpam-6026	31	37	,	,	PUNCT
ejpam-6026	31	38	and	and	CCONJ
ejpam-6026	31	39	predators	predator	NOUN
ejpam-6026	31	40	.	.	PUNCT
ejpam-6026	32	1	in	in	ADP
ejpam-6026	32	2	this	this	DET
ejpam-6026	32	3	study	study	NOUN
ejpam-6026	32	4	,	,	PUNCT
ejpam-6026	32	5	two	two	NUM
ejpam-6026	32	6	functional	functional	ADJ
ejpam-6026	32	7	responses	response	NOUN
ejpam-6026	32	8	are	be	AUX
ejpam-6026	32	9	employed	employ	VERB
ejpam-6026	32	10	.	.	PUNCT
ejpam-6026	33	1	the	the	DET
ejpam-6026	33	2	first	first	ADJ
ejpam-6026	33	3	is	be	AUX
ejpam-6026	33	4	the	the	DET
ejpam-6026	33	5	beddingtondeangelis	beddingtondeangelis	ADJ
ejpam-6026	33	6	functional	functional	ADJ
ejpam-6026	33	7	response	response	NOUN
ejpam-6026	33	8	,	,	PUNCT
ejpam-6026	33	9	an	an	DET
ejpam-6026	33	10	extension	extension	NOUN
ejpam-6026	33	11	of	of	ADP
ejpam-6026	33	12	the	the	DET
ejpam-6026	33	13	holling	holle	VERB
ejpam-6026	33	14	type	type	NOUN
ejpam-6026	33	15	ii	ii	PROPN
ejpam-6026	33	16	response	response	NOUN
ejpam-6026	33	17	,	,	PUNCT
ejpam-6026	33	18	which	which	PRON
ejpam-6026	33	19	accounts	account	VERB
ejpam-6026	33	20	for	for	ADP
ejpam-6026	33	21	mutual	mutual	ADJ
ejpam-6026	33	22	interference	interference	NOUN
ejpam-6026	33	23	among	among	ADP
ejpam-6026	33	24	predators	predator	NOUN
ejpam-6026	33	25	.	.	PUNCT
ejpam-6026	34	1	our	our	PRON
ejpam-6026	34	2	model	model	NOUN
ejpam-6026	34	3	describes	describe	VERB
ejpam-6026	34	4	how	how	SCONJ
ejpam-6026	34	5	the	the	DET
ejpam-6026	34	6	rate	rate	NOUN
ejpam-6026	34	7	of	of	ADP
ejpam-6026	34	8	prey	prey	NOUN
ejpam-6026	34	9	consumption	consumption	NOUN
ejpam-6026	34	10	by	by	ADP
ejpam-6026	34	11	predators	predator	NOUN
ejpam-6026	34	12	is	be	AUX
ejpam-6026	34	13	influenced	influence	VERB
ejpam-6026	34	14	not	not	PART
ejpam-6026	34	15	only	only	ADV
ejpam-6026	34	16	by	by	ADP
ejpam-6026	34	17	prey	prey	PROPN
ejpam-6026	34	18	density	density	NOUN
ejpam-6026	34	19	but	but	CCONJ
ejpam-6026	34	20	also	also	ADV
ejpam-6026	34	21	by	by	ADP
ejpam-6026	34	22	the	the	DET
ejpam-6026	34	23	density	density	NOUN
ejpam-6026	34	24	of	of	ADP
ejpam-6026	34	25	the	the	DET
ejpam-6026	34	26	predators	predator	NOUN
ejpam-6026	34	27	themselves	themselves	PRON
ejpam-6026	34	28	.	.	PUNCT
ejpam-6026	35	1	the	the	DET
ejpam-6026	35	2	key	key	ADJ
ejpam-6026	35	3	feature	feature	NOUN
ejpam-6026	35	4	is	be	AUX
ejpam-6026	35	5	the	the	DET
ejpam-6026	35	6	inclusion	inclusion	NOUN
ejpam-6026	35	7	of	of	ADP
ejpam-6026	35	8	an	an	DET
ejpam-6026	35	9	additional	additional	ADJ
ejpam-6026	35	10	term	term	NOUN
ejpam-6026	35	11	that	that	PRON
ejpam-6026	35	12	accounts	account	VERB
ejpam-6026	35	13	for	for	ADP
ejpam-6026	35	14	the	the	DET
ejpam-6026	35	15	reduction	reduction	NOUN
ejpam-6026	35	16	in	in	ADP
ejpam-6026	35	17	predation	predation	NOUN
ejpam-6026	35	18	efficiency	efficiency	NOUN
ejpam-6026	35	19	due	due	ADP
ejpam-6026	35	20	to	to	ADP
ejpam-6026	35	21	interactions	interaction	NOUN
ejpam-6026	35	22	among	among	ADP
ejpam-6026	35	23	predators	predator	NOUN
ejpam-6026	35	24	,	,	PUNCT
ejpam-6026	35	25	such	such	ADJ
ejpam-6026	35	26	as	as	ADP
ejpam-6026	35	27	competition	competition	NOUN
ejpam-6026	35	28	or	or	CCONJ
ejpam-6026	35	29	interference	interference	NOUN
ejpam-6026	35	30	.	.	PUNCT
ejpam-6026	36	1	this	this	DET
ejpam-6026	36	2	functional	functional	ADJ
ejpam-6026	36	3	response	response	NOUN
ejpam-6026	36	4	is	be	AUX
ejpam-6026	36	5	particularly	particularly	ADV
ejpam-6026	36	6	useful	useful	ADJ
ejpam-6026	36	7	in	in	ADP
ejpam-6026	36	8	ecological	ecological	ADJ
ejpam-6026	36	9	modeling	modeling	NOUN
ejpam-6026	36	10	as	as	SCONJ
ejpam-6026	36	11	it	it	PRON
ejpam-6026	36	12	provides	provide	VERB
ejpam-6026	36	13	a	a	DET
ejpam-6026	36	14	more	more	ADV
ejpam-6026	36	15	realistic	realistic	ADJ
ejpam-6026	36	16	representation	representation	NOUN
ejpam-6026	36	17	of	of	ADP
ejpam-6026	36	18	predator	predator	NOUN
ejpam-6026	36	19	-	-	PUNCT
ejpam-6026	36	20	prey	prey	NOUN
ejpam-6026	36	21	dynamics	dynamic	NOUN
ejpam-6026	36	22	,	,	PUNCT
ejpam-6026	36	23	especially	especially	ADV
ejpam-6026	36	24	in	in	ADP
ejpam-6026	36	25	environments	environment	NOUN
ejpam-6026	36	26	where	where	SCONJ
ejpam-6026	36	27	predator	predator	NOUN
ejpam-6026	36	28	density	density	NOUN
ejpam-6026	36	29	significantly	significantly	ADV
ejpam-6026	36	30	influences	influence	VERB
ejpam-6026	36	31	predation	predation	NOUN
ejpam-6026	36	32	rates	rate	NOUN
ejpam-6026	36	33	[	[	X
ejpam-6026	36	34	9	9	NUM
ejpam-6026	36	35	]	]	PUNCT
ejpam-6026	36	36	,	,	PUNCT
ejpam-6026	36	37	[	[	X
ejpam-6026	36	38	10	10	NUM
ejpam-6026	36	39	]	]	PUNCT
ejpam-6026	36	40	,	,	PUNCT
ejpam-6026	36	41	[	[	X
ejpam-6026	36	42	11	11	NUM
ejpam-6026	36	43	]	]	PUNCT
ejpam-6026	36	44	.	.	PUNCT
ejpam-6026	37	1	the	the	DET
ejpam-6026	37	2	following	follow	VERB
ejpam-6026	37	3	form	form	NOUN
ejpam-6026	37	4	expresses	express	VERB
ejpam-6026	37	5	the	the	DET
ejpam-6026	37	6	beddington	beddington	PROPN
ejpam-6026	37	7	-	-	PUNCT
ejpam-6026	37	8	deangelis	deangelis	PROPN
ejpam-6026	37	9	functional	functional	ADJ
ejpam-6026	37	10	response	response	NOUN
ejpam-6026	37	11	:	:	PUNCT
ejpam-6026	37	12	φ(s	φ(s	NOUN
ejpam-6026	37	13	,	,	PUNCT
ejpam-6026	37	14	p	p	NOUN
ejpam-6026	37	15	)	)	PUNCT
ejpam-6026	38	1	=	=	PUNCT
ejpam-6026	38	2	αs	αs	PROPN
ejpam-6026	38	3	s	s	PART
ejpam-6026	38	4	+	+	NUM
ejpam-6026	38	5	bp	bp	PROPN
ejpam-6026	38	6	+	+	CCONJ
ejpam-6026	38	7	c	c	X
ejpam-6026	38	8	(	(	PUNCT
ejpam-6026	38	9	1	1	NUM
ejpam-6026	38	10	)	)	PUNCT
ejpam-6026	38	11	k.	k.	NOUN
ejpam-6026	38	12	a.	a.	PROPN
ejpam-6026	38	13	hassan	hassan	PROPN
ejpam-6026	38	14	/	/	SYM
ejpam-6026	38	15	eur	eur	PROPN
ejpam-6026	38	16	.	.	PUNCT
ejpam-6026	39	1	j.	j.	PROPN
ejpam-6026	39	2	pure	pure	PROPN
ejpam-6026	39	3	appl	appl	PROPN
ejpam-6026	39	4	.	.	PROPN
ejpam-6026	39	5	math	math	PROPN
ejpam-6026	39	6	,	,	PUNCT
ejpam-6026	39	7	18	18	NUM
ejpam-6026	39	8	(	(	PUNCT
ejpam-6026	39	9	2	2	NUM
ejpam-6026	39	10	)	)	PUNCT
ejpam-6026	39	11	(	(	PUNCT
ejpam-6026	39	12	2025	2025	NUM
ejpam-6026	39	13	)	)	PUNCT
ejpam-6026	39	14	,	,	PUNCT
ejpam-6026	39	15	6026	6026	NUM
ejpam-6026	39	16	3	3	NUM
ejpam-6026	39	17	of	of	ADP
ejpam-6026	39	18	20	20	NUM
ejpam-6026	39	19	the	the	DET
ejpam-6026	39	20	second	second	ADJ
ejpam-6026	39	21	functional	functional	ADJ
ejpam-6026	39	22	response	response	NOUN
ejpam-6026	39	23	utilized	utilize	VERB
ejpam-6026	39	24	is	be	AUX
ejpam-6026	39	25	the	the	DET
ejpam-6026	39	26	holling	holle	VERB
ejpam-6026	39	27	type	type	NOUN
ejpam-6026	39	28	iv	iv	ADP
ejpam-6026	39	29	,	,	PUNCT
ejpam-6026	39	30	a	a	DET
ejpam-6026	39	31	model	model	NOUN
ejpam-6026	39	32	employed	employ	VERB
ejpam-6026	39	33	in	in	ADP
ejpam-6026	39	34	ecology	ecology	NOUN
ejpam-6026	39	35	to	to	PART
ejpam-6026	39	36	characterize	characterize	VERB
ejpam-6026	39	37	how	how	SCONJ
ejpam-6026	39	38	a	a	DET
ejpam-6026	39	39	predator	predator	NOUN
ejpam-6026	39	40	’s	’s	PART
ejpam-6026	39	41	rate	rate	NOUN
ejpam-6026	39	42	of	of	ADP
ejpam-6026	39	43	prey	prey	PROPN
ejpam-6026	39	44	consumption	consumption	NOUN
ejpam-6026	39	45	varies	vary	VERB
ejpam-6026	39	46	in	in	ADP
ejpam-6026	39	47	response	response	NOUN
ejpam-6026	39	48	to	to	ADP
ejpam-6026	39	49	changes	change	NOUN
ejpam-6026	39	50	in	in	ADP
ejpam-6026	39	51	prey	prey	PROPN
ejpam-6026	39	52	density	density	NOUN
ejpam-6026	39	53	.	.	PUNCT
ejpam-6026	40	1	unlike	unlike	ADP
ejpam-6026	40	2	the	the	DET
ejpam-6026	40	3	simpler	simple	ADJ
ejpam-6026	40	4	holling	holle	VERB
ejpam-6026	40	5	types	type	NOUN
ejpam-6026	40	6	i	i	PRON
ejpam-6026	40	7	,	,	PUNCT
ejpam-6026	40	8	ii	ii	PROPN
ejpam-6026	40	9	,	,	PUNCT
ejpam-6026	40	10	and	and	CCONJ
ejpam-6026	40	11	iii	iii	NOUN
ejpam-6026	40	12	,	,	PUNCT
ejpam-6026	40	13	which	which	PRON
ejpam-6026	40	14	describe	describe	VERB
ejpam-6026	40	15	linear	linear	NOUN
ejpam-6026	40	16	,	,	PUNCT
ejpam-6026	40	17	hyperbolic	hyperbolic	ADJ
ejpam-6026	40	18	,	,	PUNCT
ejpam-6026	40	19	and	and	CCONJ
ejpam-6026	40	20	sigmoidal	sigmoidal	NOUN
ejpam-6026	40	21	responses	response	NOUN
ejpam-6026	40	22	respectively	respectively	ADV
ejpam-6026	40	23	,	,	PUNCT
ejpam-6026	40	24	holling	holle	VERB
ejpam-6026	40	25	type	type	NOUN
ejpam-6026	40	26	iv	iv	NUM
ejpam-6026	40	27	incorporates	incorporate	VERB
ejpam-6026	40	28	a	a	DET
ejpam-6026	40	29	more	more	ADV
ejpam-6026	40	30	complex	complex	ADJ
ejpam-6026	40	31	scenario	scenario	NOUN
ejpam-6026	40	32	where	where	SCONJ
ejpam-6026	40	33	the	the	DET
ejpam-6026	40	34	predator	predator	NOUN
ejpam-6026	40	35	’s	’s	PART
ejpam-6026	40	36	consumption	consumption	NOUN
ejpam-6026	40	37	rate	rate	NOUN
ejpam-6026	40	38	initially	initially	ADV
ejpam-6026	40	39	increases	increase	VERB
ejpam-6026	40	40	with	with	ADP
ejpam-6026	40	41	prey	prey	PROPN
ejpam-6026	40	42	density	density	NOUN
ejpam-6026	40	43	,	,	PUNCT
ejpam-6026	40	44	then	then	ADV
ejpam-6026	40	45	decreases	decrease	VERB
ejpam-6026	40	46	after	after	ADP
ejpam-6026	40	47	reaching	reach	VERB
ejpam-6026	40	48	a	a	DET
ejpam-6026	40	49	peak	peak	NOUN
ejpam-6026	40	50	.	.	PUNCT
ejpam-6026	41	1	this	this	DET
ejpam-6026	41	2	decrease	decrease	NOUN
ejpam-6026	41	3	can	can	AUX
ejpam-6026	41	4	be	be	AUX
ejpam-6026	41	5	due	due	ADJ
ejpam-6026	41	6	to	to	ADP
ejpam-6026	41	7	factors	factor	NOUN
ejpam-6026	41	8	like	like	ADP
ejpam-6026	41	9	predator	predator	NOUN
ejpam-6026	41	10	satiation	satiation	NOUN
ejpam-6026	41	11	or	or	CCONJ
ejpam-6026	41	12	increased	increase	VERB
ejpam-6026	41	13	handling	handling	NOUN
ejpam-6026	41	14	time	time	NOUN
ejpam-6026	41	15	as	as	SCONJ
ejpam-6026	41	16	prey	prey	NOUN
ejpam-6026	41	17	becomes	become	VERB
ejpam-6026	41	18	more	more	ADV
ejpam-6026	41	19	abundant	abundant	ADJ
ejpam-6026	41	20	[	[	X
ejpam-6026	41	21	12	12	NUM
ejpam-6026	41	22	]	]	PUNCT
ejpam-6026	41	23	,	,	PUNCT
ejpam-6026	41	24	[	[	X
ejpam-6026	41	25	13	13	NUM
ejpam-6026	41	26	]	]	PUNCT
ejpam-6026	41	27	.	.	PUNCT
ejpam-6026	42	1	this	this	DET
ejpam-6026	42	2	type	type	NOUN
ejpam-6026	42	3	of	of	ADP
ejpam-6026	42	4	functional	functional	ADJ
ejpam-6026	42	5	response	response	NOUN
ejpam-6026	42	6	is	be	AUX
ejpam-6026	42	7	particularly	particularly	ADV
ejpam-6026	42	8	useful	useful	ADJ
ejpam-6026	42	9	in	in	ADP
ejpam-6026	42	10	modeling	model	VERB
ejpam-6026	42	11	situations	situation	NOUN
ejpam-6026	42	12	where	where	SCONJ
ejpam-6026	42	13	predators	predator	NOUN
ejpam-6026	42	14	experience	experience	VERB
ejpam-6026	42	15	diminishing	diminishing	NOUN
ejpam-6026	42	16	returns	return	NOUN
ejpam-6026	42	17	in	in	ADP
ejpam-6026	42	18	prey	prey	PROPN
ejpam-6026	42	19	capture	capture	NOUN
ejpam-6026	42	20	efficiency	efficiency	NOUN
ejpam-6026	42	21	at	at	ADP
ejpam-6026	42	22	high	high	ADJ
ejpam-6026	42	23	prey	prey	NOUN
ejpam-6026	42	24	densities	density	NOUN
ejpam-6026	42	25	,	,	PUNCT
ejpam-6026	42	26	reflecting	reflect	VERB
ejpam-6026	42	27	more	more	ADV
ejpam-6026	42	28	realistic	realistic	ADJ
ejpam-6026	42	29	ecological	ecological	ADJ
ejpam-6026	42	30	interactions	interaction	NOUN
ejpam-6026	42	31	.	.	PUNCT
ejpam-6026	43	1	the	the	DET
ejpam-6026	43	2	generalized	generalized	ADJ
ejpam-6026	43	3	holling	holle	VERB
ejpam-6026	43	4	type	type	NOUN
ejpam-6026	43	5	iv	iv	NUM
ejpam-6026	43	6	functional	functional	ADJ
ejpam-6026	43	7	response	response	NOUN
ejpam-6026	43	8	[	[	X
ejpam-6026	43	9	14	14	NUM
ejpam-6026	43	10	]	]	PUNCT
ejpam-6026	43	11	,	,	PUNCT
ejpam-6026	43	12	[	[	X
ejpam-6026	43	13	15	15	NUM
ejpam-6026	43	14	]	]	PUNCT
ejpam-6026	43	15	,	,	PUNCT
ejpam-6026	43	16	[	[	X
ejpam-6026	43	17	16	16	NUM
ejpam-6026	43	18	]	]	PUNCT
ejpam-6026	43	19	is	be	AUX
ejpam-6026	43	20	given	give	VERB
ejpam-6026	43	21	as	as	ADP
ejpam-6026	43	22	:	:	PUNCT
ejpam-6026	43	23	φ(s	φ(s	NOUN
ejpam-6026	43	24	)	)	PUNCT
ejpam-6026	44	1	=	=	SYM
ejpam-6026	44	2	αs	αs	ADP
ejpam-6026	44	3	1	1	NUM
ejpam-6026	44	4	+	+	CCONJ
ejpam-6026	44	5	a1s	a1s	PROPN
ejpam-6026	44	6	+	+	CCONJ
ejpam-6026	44	7	a2s2	a2s2	NOUN
ejpam-6026	44	8	,	,	PUNCT
ejpam-6026	44	9	a2	a2	PROPN
ejpam-6026	44	10	>	>	X
ejpam-6026	44	11	0	0	PROPN
ejpam-6026	44	12	,	,	PUNCT
ejpam-6026	44	13	a1	a1	NOUN
ejpam-6026	44	14	>	>	SYM
ejpam-6026	44	15	−2	−2	PROPN
ejpam-6026	44	16	√	√	NOUN
ejpam-6026	44	17	a2	a2	PROPN
ejpam-6026	44	18	,	,	PUNCT
ejpam-6026	44	19	α	α	NOUN
ejpam-6026	44	20	>	>	X
ejpam-6026	44	21	0	0	NUM
ejpam-6026	44	22	.	.	PUNCT
ejpam-6026	45	1	(	(	PUNCT
ejpam-6026	45	2	2	2	X
ejpam-6026	45	3	)	)	PUNCT
ejpam-6026	45	4	the	the	DET
ejpam-6026	45	5	holling	holle	VERB
ejpam-6026	45	6	type	type	NOUN
ejpam-6026	45	7	iv	iv	NUM
ejpam-6026	45	8	response	response	NOUN
ejpam-6026	45	9	function	function	NOUN
ejpam-6026	45	10	φ(s	φ(s	NOUN
ejpam-6026	45	11	)	)	PUNCT
ejpam-6026	45	12	,	,	PUNCT
ejpam-6026	45	13	also	also	ADV
ejpam-6026	45	14	referred	refer	VERB
ejpam-6026	45	15	to	to	ADP
ejpam-6026	45	16	as	as	SCONJ
ejpam-6026	45	17	the	the	DET
ejpam-6026	45	18	monod	monod	PROPN
ejpam-6026	45	19	-	-	PUNCT
ejpam-6026	45	20	haldane	haldane	PROPN
ejpam-6026	45	21	response	response	NOUN
ejpam-6026	45	22	function	function	NOUN
ejpam-6026	46	1	[	[	X
ejpam-6026	46	2	14	14	NUM
ejpam-6026	46	3	]	]	PUNCT
ejpam-6026	46	4	,	,	PUNCT
ejpam-6026	46	5	is	be	AUX
ejpam-6026	46	6	positive	positive	ADJ
ejpam-6026	46	7	for	for	ADP
ejpam-6026	46	8	s	s	PROPN
ejpam-6026	46	9	>	>	X
ejpam-6026	46	10	0	0	PUNCT
ejpam-6026	46	11	and	and	CCONJ
ejpam-6026	46	12	increases	increase	NOUN
ejpam-6026	46	13	within	within	ADP
ejpam-6026	46	14	the	the	DET
ejpam-6026	46	15	interval	interval	NOUN
ejpam-6026	46	16	s	s	X
ejpam-6026	46	17	∈	∈	PROPN
ejpam-6026	47	1	[	[	X
ejpam-6026	47	2	0	0	NUM
ejpam-6026	47	3	,	,	PUNCT
ejpam-6026	47	4	1/	1/	NUM
ejpam-6026	47	5	√	√	NUM
ejpam-6026	47	6	a2	a2	PROPN
ejpam-6026	47	7	]	]	PUNCT
ejpam-6026	47	8	.	.	PUNCT
ejpam-6026	48	1	the	the	DET
ejpam-6026	48	2	function	function	NOUN
ejpam-6026	48	3	reaches	reach	VERB
ejpam-6026	48	4	its	its	PRON
ejpam-6026	48	5	maximum	maximum	ADJ
ejpam-6026	48	6	value	value	NOUN
ejpam-6026	48	7	at	at	ADP
ejpam-6026	48	8	s	s	NOUN
ejpam-6026	48	9	=	=	SYM
ejpam-6026	48	10	1/	1/	NUM
ejpam-6026	48	11	√	√	NUM
ejpam-6026	48	12	a2	a2	PROPN
ejpam-6026	48	13	,	,	PUNCT
ejpam-6026	48	14	decreases	decrease	VERB
ejpam-6026	48	15	for	for	ADP
ejpam-6026	48	16	s	s	PROPN
ejpam-6026	48	17	>	>	X
ejpam-6026	48	18	1/	1/	NUM
ejpam-6026	48	19	√	√	NUM
ejpam-6026	48	20	a2	a2	PROPN
ejpam-6026	48	21	,	,	PUNCT
ejpam-6026	48	22	and	and	CCONJ
ejpam-6026	48	23	approaches	approach	NOUN
ejpam-6026	48	24	zero	zero	NUM
ejpam-6026	48	25	as	as	SCONJ
ejpam-6026	48	26	s	s	PRON
ejpam-6026	48	27	tends	tend	VERB
ejpam-6026	48	28	toward	toward	ADP
ejpam-6026	48	29	infinity	infinity	NOUN
ejpam-6026	48	30	.	.	PUNCT
ejpam-6026	49	1	the	the	DET
ejpam-6026	49	2	phenomenon	phenomenon	NOUN
ejpam-6026	49	3	,	,	PUNCT
ejpam-6026	49	4	when	when	SCONJ
ejpam-6026	49	5	prey	prey	PROPN
ejpam-6026	49	6	populations	population	NOUN
ejpam-6026	49	7	grow	grow	VERB
ejpam-6026	49	8	large	large	ADJ
ejpam-6026	49	9	enough	enough	ADV
ejpam-6026	49	10	,	,	PUNCT
ejpam-6026	49	11	they	they	PRON
ejpam-6026	49	12	become	become	VERB
ejpam-6026	49	13	more	more	ADV
ejpam-6026	49	14	capable	capable	ADJ
ejpam-6026	49	15	of	of	ADP
ejpam-6026	49	16	avoiding	avoid	VERB
ejpam-6026	49	17	,	,	PUNCT
ejpam-6026	49	18	protecting	protect	VERB
ejpam-6026	49	19	,	,	PUNCT
ejpam-6026	49	20	or	or	CCONJ
ejpam-6026	49	21	defending	defend	VERB
ejpam-6026	49	22	themselves	themselves	PRON
ejpam-6026	49	23	against	against	ADP
ejpam-6026	49	24	predators	predator	NOUN
ejpam-6026	49	25	,	,	PUNCT
ejpam-6026	49	26	is	be	AUX
ejpam-6026	49	27	captured	capture	VERB
ejpam-6026	49	28	in	in	ADP
ejpam-6026	49	29	this	this	DET
ejpam-6026	49	30	response	response	NOUN
ejpam-6026	49	31	function	function	NOUN
ejpam-6026	49	32	[	[	X
ejpam-6026	49	33	17	17	NUM
ejpam-6026	49	34	]	]	PUNCT
ejpam-6026	49	35	,	,	PUNCT
ejpam-6026	49	36	[	[	X
ejpam-6026	49	37	18	18	NUM
ejpam-6026	49	38	]	]	PUNCT
ejpam-6026	49	39	.	.	PUNCT
ejpam-6026	50	1	to	to	PART
ejpam-6026	50	2	formulate	formulate	VERB
ejpam-6026	50	3	our	our	PRON
ejpam-6026	50	4	model	model	NOUN
ejpam-6026	50	5	,	,	PUNCT
ejpam-6026	50	6	which	which	PRON
ejpam-6026	50	7	extends	extend	VERB
ejpam-6026	50	8	classical	classical	ADJ
ejpam-6026	50	9	predator	predator	NOUN
ejpam-6026	50	10	-	-	PUNCT
ejpam-6026	50	11	prey	prey	NOUN
ejpam-6026	50	12	frameworks	framework	NOUN
ejpam-6026	50	13	by	by	ADP
ejpam-6026	50	14	integrating	integrate	VERB
ejpam-6026	50	15	disease	disease	NOUN
ejpam-6026	50	16	dynamics	dynamic	NOUN
ejpam-6026	50	17	in	in	ADP
ejpam-6026	50	18	prey	prey	NOUN
ejpam-6026	50	19	,	,	PUNCT
ejpam-6026	50	20	we	we	PRON
ejpam-6026	50	21	consider	consider	VERB
ejpam-6026	50	22	a	a	DET
ejpam-6026	50	23	system	system	NOUN
ejpam-6026	50	24	where	where	SCONJ
ejpam-6026	50	25	predators	predator	NOUN
ejpam-6026	50	26	preferentially	preferentially	ADV
ejpam-6026	50	27	consume	consume	VERB
ejpam-6026	50	28	infected	infect	VERB
ejpam-6026	50	29	individuals	individual	NOUN
ejpam-6026	50	30	due	due	ADJ
ejpam-6026	50	31	to	to	ADP
ejpam-6026	50	32	their	their	PRON
ejpam-6026	50	33	reduced	reduce	VERB
ejpam-6026	50	34	escape	escape	NOUN
ejpam-6026	50	35	ability	ability	NOUN
ejpam-6026	50	36	.	.	PUNCT
ejpam-6026	51	1	the	the	DET
ejpam-6026	51	2	beddington	beddington	PROPN
ejpam-6026	51	3	-	-	PUNCT
ejpam-6026	51	4	deangelis	deangelis	PROPN
ejpam-6026	51	5	functional	functional	ADJ
ejpam-6026	51	6	response	response	NOUN
ejpam-6026	51	7	accounts	account	VERB
ejpam-6026	51	8	for	for	ADP
ejpam-6026	51	9	predator	predator	NOUN
ejpam-6026	51	10	interference	interference	NOUN
ejpam-6026	51	11	,	,	PUNCT
ejpam-6026	51	12	while	while	SCONJ
ejpam-6026	51	13	the	the	DET
ejpam-6026	51	14	holling	holle	VERB
ejpam-6026	51	15	type	type	NOUN
ejpam-6026	51	16	iv	iv	NUM
ejpam-6026	51	17	functional	functional	ADJ
ejpam-6026	51	18	response	response	NOUN
ejpam-6026	51	19	captures	capture	VERB
ejpam-6026	51	20	prey	prey	VERB
ejpam-6026	51	21	defense	defense	NOUN
ejpam-6026	51	22	mechanisms	mechanism	NOUN
ejpam-6026	51	23	at	at	ADP
ejpam-6026	51	24	high	high	ADJ
ejpam-6026	51	25	densities	density	NOUN
ejpam-6026	51	26	.	.	PUNCT
ejpam-6026	52	1	this	this	DET
ejpam-6026	52	2	formulation	formulation	NOUN
ejpam-6026	52	3	aligns	align	VERB
ejpam-6026	52	4	with	with	ADP
ejpam-6026	52	5	empirical	empirical	ADJ
ejpam-6026	52	6	observations	observation	NOUN
ejpam-6026	52	7	where	where	SCONJ
ejpam-6026	52	8	disease	disease	NOUN
ejpam-6026	52	9	alters	alter	VERB
ejpam-6026	52	10	predation	predation	NOUN
ejpam-6026	52	11	efficiency	efficiency	NOUN
ejpam-6026	52	12	and	and	CCONJ
ejpam-6026	52	13	justifies	justify	VERB
ejpam-6026	52	14	the	the	DET
ejpam-6026	52	15	inclusion	inclusion	NOUN
ejpam-6026	52	16	of	of	ADP
ejpam-6026	52	17	biologically	biologically	ADV
ejpam-6026	52	18	meaningful	meaningful	ADJ
ejpam-6026	52	19	terms	term	NOUN
ejpam-6026	52	20	such	such	ADJ
ejpam-6026	52	21	as	as	ADP
ejpam-6026	52	22	:	:	PUNCT
ejpam-6026	52	23	λis	λis	ADJ
ejpam-6026	52	24	(	(	PUNCT
ejpam-6026	52	25	disease	disease	NOUN
ejpam-6026	52	26	transmission	transmission	NOUN
ejpam-6026	52	27	)	)	PUNCT
ejpam-6026	52	28	,	,	PUNCT
ejpam-6026	52	29	γip	γip	X
ejpam-6026	52	30	(	(	PUNCT
ejpam-6026	52	31	predation	predation	NOUN
ejpam-6026	52	32	on	on	ADP
ejpam-6026	52	33	infected	infected	ADJ
ejpam-6026	52	34	prey	prey	NOUN
ejpam-6026	52	35	)	)	PUNCT
ejpam-6026	52	36	,	,	PUNCT
ejpam-6026	52	37	we	we	PRON
ejpam-6026	52	38	depended	depend	VERB
ejpam-6026	52	39	on	on	ADP
ejpam-6026	52	40	the	the	DET
ejpam-6026	52	41	model	model	NOUN
ejpam-6026	52	42	used	use	VERB
ejpam-6026	52	43	in	in	ADP
ejpam-6026	52	44	[	[	X
ejpam-6026	52	45	19	19	NUM
ejpam-6026	52	46	]	]	PUNCT
ejpam-6026	52	47	,	,	PUNCT
ejpam-6026	52	48	based	base	VERB
ejpam-6026	52	49	on	on	ADP
ejpam-6026	52	50	the	the	DET
ejpam-6026	52	51	assumptions	assumption	NOUN
ejpam-6026	52	52	in	in	ADP
ejpam-6026	52	53	[	[	X
ejpam-6026	52	54	19	19	NUM
ejpam-6026	52	55	]	]	PUNCT
ejpam-6026	52	56	and	and	CCONJ
ejpam-6026	52	57	the	the	DET
ejpam-6026	52	58	functional	functional	ADJ
ejpam-6026	52	59	responses	response	NOUN
ejpam-6026	52	60	we	we	PRON
ejpam-6026	52	61	use	use	VERB
ejpam-6026	52	62	in	in	ADP
ejpam-6026	52	63	this	this	DET
ejpam-6026	52	64	work	work	NOUN
ejpam-6026	52	65	as	as	SCONJ
ejpam-6026	52	66	discussed	discuss	VERB
ejpam-6026	52	67	in	in	ADP
ejpam-6026	52	68	section	section	NOUN
ejpam-6026	52	69	2	2	NUM
ejpam-6026	52	70	and	and	CCONJ
ejpam-6026	52	71	3	3	NUM
ejpam-6026	52	72	.	.	NOUN
ejpam-6026	52	73	2	2	NUM
ejpam-6026	52	74	.	.	PUNCT
ejpam-6026	52	75	first	first	ADJ
ejpam-6026	52	76	model	model	NOUN
ejpam-6026	52	77	analysis	analysis	NOUN
ejpam-6026	52	78	in	in	ADP
ejpam-6026	52	79	this	this	DET
ejpam-6026	52	80	section	section	NOUN
ejpam-6026	52	81	,	,	PUNCT
ejpam-6026	52	82	the	the	DET
ejpam-6026	52	83	boundedness	boundedness	NOUN
ejpam-6026	52	84	,	,	PUNCT
ejpam-6026	52	85	finding	find	VERB
ejpam-6026	52	86	equilibria	equilibrium	NOUN
ejpam-6026	52	87	,	,	PUNCT
ejpam-6026	52	88	and	and	CCONJ
ejpam-6026	52	89	their	their	PRON
ejpam-6026	52	90	stability	stability	NOUN
ejpam-6026	52	91	are	be	AUX
ejpam-6026	52	92	described	describe	VERB
ejpam-6026	52	93	with	with	ADP
ejpam-6026	52	94	respect	respect	NOUN
ejpam-6026	52	95	to	to	ADP
ejpam-6026	52	96	the	the	DET
ejpam-6026	52	97	beddington	beddington	PROPN
ejpam-6026	52	98	-	-	PUNCT
ejpam-6026	52	99	deangelis	deangelis	PROPN
ejpam-6026	52	100	functional	functional	ADJ
ejpam-6026	52	101	response	response	NOUN
ejpam-6026	52	102	.	.	PUNCT
ejpam-6026	53	1	the	the	DET
ejpam-6026	53	2	eco	eco	NOUN
ejpam-6026	53	3	-	-	PUNCT
ejpam-6026	53	4	epidemiological	epidemiological	ADJ
ejpam-6026	53	5	model	model	NOUN
ejpam-6026	53	6	incorporating	incorporate	VERB
ejpam-6026	53	7	the	the	DET
ejpam-6026	53	8	beddington	beddington	PROPN
ejpam-6026	53	9	-	-	PUNCT
ejpam-6026	53	10	deangelis	deangelis	PROPN
ejpam-6026	53	11	functional	functional	ADJ
ejpam-6026	53	12	response	response	NOUN
ejpam-6026	53	13	:	:	PUNCT
ejpam-6026	53	14			PRON
ejpam-6026	53	15	ds	ds	ADJ
ejpam-6026	53	16	dt	dt	NOUN
ejpam-6026	53	17	=	=	NOUN
ejpam-6026	53	18	rs	rs	X
ejpam-6026	53	19	(	(	PUNCT
ejpam-6026	53	20	1−	1−	NUM
ejpam-6026	53	21	s+i	s+i	PROPN
ejpam-6026	53	22	k	k	X
ejpam-6026	53	23	)	)	PUNCT
ejpam-6026	53	24	−	−	PROPN
ejpam-6026	54	1	λis	λis	INTJ
ejpam-6026	54	2	−	−	PROPN
ejpam-6026	54	3	αsp	αsp	PROPN
ejpam-6026	54	4	s+bp+c	s+bp+c	NOUN
ejpam-6026	54	5	,	,	PUNCT
ejpam-6026	54	6	di	di	NOUN
ejpam-6026	54	7	dt	dt	NOUN
ejpam-6026	54	8	=	=	PUNCT
ejpam-6026	54	9	λis	λis	PROPN
ejpam-6026	54	10	−	−	PROPN
ejpam-6026	54	11	γip	γip	ADP
ejpam-6026	54	12	−	−	PROPN
ejpam-6026	54	13	d1i	d1i	NOUN
ejpam-6026	54	14	,	,	PUNCT
ejpam-6026	54	15	dp	dp	NOUN
ejpam-6026	54	16	dt	dt	NOUN
ejpam-6026	54	17	=	=	SYM
ejpam-6026	54	18	αmsp	αmsp	PROPN
ejpam-6026	54	19	s+bp+c	s+bp+c	PROPN
ejpam-6026	54	20	−mγip	−mγip	PROPN
ejpam-6026	54	21	−	−	PROPN
ejpam-6026	54	22	d2p	d2p	NOUN
ejpam-6026	54	23	,	,	PUNCT
ejpam-6026	54	24	(	(	PUNCT
ejpam-6026	54	25	3	3	X
ejpam-6026	54	26	)	)	PUNCT
ejpam-6026	54	27	k.	k.	NOUN
ejpam-6026	54	28	a.	a.	PROPN
ejpam-6026	54	29	hassan	hassan	PROPN
ejpam-6026	54	30	/	/	SYM
ejpam-6026	54	31	eur	eur	PROPN
ejpam-6026	54	32	.	.	PUNCT
ejpam-6026	55	1	j.	j.	PROPN
ejpam-6026	55	2	pure	pure	PROPN
ejpam-6026	55	3	appl	appl	PROPN
ejpam-6026	55	4	.	.	PROPN
ejpam-6026	55	5	math	math	PROPN
ejpam-6026	55	6	,	,	PUNCT
ejpam-6026	55	7	18	18	NUM
ejpam-6026	55	8	(	(	PUNCT
ejpam-6026	55	9	2	2	NUM
ejpam-6026	55	10	)	)	PUNCT
ejpam-6026	55	11	(	(	PUNCT
ejpam-6026	55	12	2025	2025	NUM
ejpam-6026	55	13	)	)	PUNCT
ejpam-6026	55	14	,	,	PUNCT
ejpam-6026	55	15	6026	6026	NUM
ejpam-6026	55	16	4	4	NUM
ejpam-6026	55	17	of	of	ADP
ejpam-6026	55	18	20	20	NUM
ejpam-6026	55	19	where	where	SCONJ
ejpam-6026	55	20	system	system	NOUN
ejpam-6026	55	21	(	(	PUNCT
ejpam-6026	55	22	3	3	X
ejpam-6026	55	23	)	)	PUNCT
ejpam-6026	55	24	is	be	AUX
ejpam-6026	55	25	examined	examine	VERB
ejpam-6026	55	26	under	under	ADP
ejpam-6026	55	27	the	the	DET
ejpam-6026	55	28	initial	initial	ADJ
ejpam-6026	55	29	conditions	condition	NOUN
ejpam-6026	55	30	s(0	s(0	PROPN
ejpam-6026	55	31	)	)	PUNCT
ejpam-6026	55	32	>	>	X
ejpam-6026	55	33	0	0	NUM
ejpam-6026	55	34	,	,	PUNCT
ejpam-6026	55	35	i(0	i(0	PROPN
ejpam-6026	55	36	)	)	PUNCT
ejpam-6026	55	37	>	>	X
ejpam-6026	55	38	0	0	NUM
ejpam-6026	55	39	,	,	PUNCT
ejpam-6026	55	40	and	and	CCONJ
ejpam-6026	55	41	p	p	X
ejpam-6026	55	42	(	(	PUNCT
ejpam-6026	55	43	0	0	NUM
ejpam-6026	55	44	)	)	PUNCT
ejpam-6026	55	45	>	>	X
ejpam-6026	55	46	0	0	X
ejpam-6026	55	47	.	.	PUNCT
ejpam-6026	56	1	here	here	ADV
ejpam-6026	56	2	,	,	PUNCT
ejpam-6026	56	3	s	s	VERB
ejpam-6026	56	4	represents	represent	VERB
ejpam-6026	56	5	the	the	DET
ejpam-6026	56	6	susceptible	susceptible	ADJ
ejpam-6026	56	7	population	population	NOUN
ejpam-6026	56	8	,	,	PUNCT
ejpam-6026	56	9	i	i	PRON
ejpam-6026	56	10	corresponds	correspond	VERB
ejpam-6026	56	11	to	to	ADP
ejpam-6026	56	12	the	the	DET
ejpam-6026	56	13	infected	infected	ADJ
ejpam-6026	56	14	population	population	NOUN
ejpam-6026	56	15	,	,	PUNCT
ejpam-6026	56	16	and	and	CCONJ
ejpam-6026	56	17	p	p	NOUN
ejpam-6026	56	18	indicates	indicate	VERB
ejpam-6026	56	19	the	the	DET
ejpam-6026	56	20	predator	predator	NOUN
ejpam-6026	56	21	population	population	NOUN
ejpam-6026	56	22	at	at	ADP
ejpam-6026	56	23	time	time	NOUN
ejpam-6026	56	24	t	t	PROPN
ejpam-6026	56	25	.	.	PUNCT
ejpam-6026	57	1	to	to	PART
ejpam-6026	57	2	maintain	maintain	VERB
ejpam-6026	57	3	biological	biological	ADJ
ejpam-6026	57	4	validity	validity	NOUN
ejpam-6026	57	5	,	,	PUNCT
ejpam-6026	57	6	all	all	DET
ejpam-6026	57	7	parameters	parameter	NOUN
ejpam-6026	57	8	in	in	ADP
ejpam-6026	57	9	the	the	DET
ejpam-6026	57	10	model	model	NOUN
ejpam-6026	57	11	are	be	AUX
ejpam-6026	57	12	positive	positive	ADJ
ejpam-6026	57	13	,	,	PUNCT
ejpam-6026	57	14	and	and	CCONJ
ejpam-6026	57	15	their	their	PRON
ejpam-6026	57	16	specific	specific	ADJ
ejpam-6026	57	17	biological	biological	ADJ
ejpam-6026	57	18	interpretations	interpretation	NOUN
ejpam-6026	57	19	are	be	AUX
ejpam-6026	57	20	detailed	detail	VERB
ejpam-6026	57	21	in	in	ADP
ejpam-6026	57	22	table	table	NOUN
ejpam-6026	57	23	1	1	NUM
ejpam-6026	57	24	.	.	PUNCT
ejpam-6026	57	25	table	table	NOUN
ejpam-6026	57	26	1	1	NUM
ejpam-6026	57	27	:	:	PUNCT
ejpam-6026	57	28	biological	biological	ADJ
ejpam-6026	57	29	interpretations	interpretation	NOUN
ejpam-6026	57	30	of	of	ADP
ejpam-6026	57	31	all	all	DET
ejpam-6026	57	32	parameters	parameter	NOUN
ejpam-6026	57	33	.	.	PUNCT
ejpam-6026	58	1	parameter	parameter	NOUN
ejpam-6026	58	2	biological	biological	ADJ
ejpam-6026	58	3	meaning	meaning	NOUN
ejpam-6026	58	4	r	r	NOUN
ejpam-6026	58	5	intrinsic	intrinsic	ADJ
ejpam-6026	58	6	growth	growth	NOUN
ejpam-6026	58	7	rate	rate	NOUN
ejpam-6026	58	8	k	k	PROPN
ejpam-6026	58	9	environmental	environmental	ADJ
ejpam-6026	58	10	carrying	carrying	NOUN
ejpam-6026	58	11	capacity	capacity	NOUN
ejpam-6026	58	12	λ	λ	PROPN
ejpam-6026	58	13	infectious	infectious	ADJ
ejpam-6026	58	14	contact	contact	NOUN
ejpam-6026	58	15	rate	rate	NOUN
ejpam-6026	58	16	α	α	X
ejpam-6026	58	17	maximal	maximal	ADJ
ejpam-6026	58	18	relative	relative	ADJ
ejpam-6026	58	19	increase	increase	NOUN
ejpam-6026	58	20	of	of	ADP
ejpam-6026	58	21	predation	predation	NOUN
ejpam-6026	58	22	b	b	PROPN
ejpam-6026	58	23	magnitude	magnitude	NOUN
ejpam-6026	58	24	of	of	ADP
ejpam-6026	58	25	interference	interference	NOUN
ejpam-6026	58	26	among	among	ADP
ejpam-6026	58	27	predators	predator	NOUN
ejpam-6026	58	28	c	c	NOUN
ejpam-6026	58	29	half	half	ADJ
ejpam-6026	58	30	-	-	PUNCT
ejpam-6026	58	31	saturation	saturation	NOUN
ejpam-6026	58	32	constant	constant	ADJ
ejpam-6026	58	33	γ	γ	NOUN
ejpam-6026	58	34	attack	attack	NOUN
ejpam-6026	58	35	rate	rate	NOUN
ejpam-6026	58	36	on	on	ADP
ejpam-6026	58	37	infected	infect	VERB
ejpam-6026	58	38	prey	prey	NOUN
ejpam-6026	58	39	d1	d1	PROPN
ejpam-6026	58	40	natural	natural	ADJ
ejpam-6026	58	41	death	death	NOUN
ejpam-6026	58	42	rate	rate	NOUN
ejpam-6026	58	43	d2	d2	PROPN
ejpam-6026	58	44	natural	natural	ADJ
ejpam-6026	58	45	mortality	mortality	NOUN
ejpam-6026	58	46	rate	rate	NOUN
ejpam-6026	58	47	of	of	ADP
ejpam-6026	58	48	predator	predator	NOUN
ejpam-6026	58	49	m	m	PROPN
ejpam-6026	58	50	conversion	conversion	NOUN
ejpam-6026	58	51	efficiency	efficiency	NOUN
ejpam-6026	58	52	the	the	DET
ejpam-6026	58	53	following	follow	VERB
ejpam-6026	58	54	theorem	theorem	NOUN
ejpam-6026	58	55	demonstrates	demonstrate	VERB
ejpam-6026	58	56	that	that	SCONJ
ejpam-6026	58	57	the	the	DET
ejpam-6026	58	58	linear	linear	ADJ
ejpam-6026	58	59	combination	combination	NOUN
ejpam-6026	58	60	of	of	ADP
ejpam-6026	58	61	susceptible	susceptible	ADJ
ejpam-6026	58	62	prey	prey	NOUN
ejpam-6026	58	63	,	,	PUNCT
ejpam-6026	58	64	infected	infected	ADJ
ejpam-6026	58	65	prey	prey	NOUN
ejpam-6026	58	66	,	,	PUNCT
ejpam-6026	58	67	and	and	CCONJ
ejpam-6026	58	68	predator	predator	NOUN
ejpam-6026	58	69	populations	population	NOUN
ejpam-6026	58	70	remains	remain	VERB
ejpam-6026	58	71	below	below	ADP
ejpam-6026	58	72	a	a	DET
ejpam-6026	58	73	finite	finite	ADJ
ejpam-6026	58	74	value	value	NOUN
ejpam-6026	58	75	,	,	PUNCT
ejpam-6026	58	76	indicating	indicate	VERB
ejpam-6026	58	77	the	the	DET
ejpam-6026	58	78	boundedness	boundedness	NOUN
ejpam-6026	58	79	of	of	ADP
ejpam-6026	58	80	solutions	solution	NOUN
ejpam-6026	58	81	of	of	ADP
ejpam-6026	58	82	system	system	NOUN
ejpam-6026	58	83	(	(	PUNCT
ejpam-6026	58	84	3	3	NUM
ejpam-6026	58	85	)	)	PUNCT
ejpam-6026	58	86	.	.	PUNCT
ejpam-6026	59	1	theorem	theorem	NOUN
ejpam-6026	59	2	1	1	NUM
ejpam-6026	59	3	.	.	PUNCT
ejpam-6026	60	1	the	the	DET
ejpam-6026	60	2	solution	solution	NOUN
ejpam-6026	60	3	(	(	PUNCT
ejpam-6026	60	4	s(t	s(t	PROPN
ejpam-6026	60	5	)	)	PUNCT
ejpam-6026	60	6	,	,	PUNCT
ejpam-6026	60	7	i(t	i(t	PROPN
ejpam-6026	60	8	)	)	PUNCT
ejpam-6026	60	9	,	,	PUNCT
ejpam-6026	60	10	p	p	X
ejpam-6026	60	11	(	(	PUNCT
ejpam-6026	60	12	t	t	PROPN
ejpam-6026	60	13	)	)	PUNCT
ejpam-6026	60	14	)	)	PUNCT
ejpam-6026	60	15	is	be	AUX
ejpam-6026	60	16	uniformly	uniformly	ADV
ejpam-6026	60	17	bounded	bound	VERB
ejpam-6026	60	18	for	for	ADP
ejpam-6026	60	19	initial	initial	ADJ
ejpam-6026	60	20	condition	condition	NOUN
ejpam-6026	60	21	(	(	PUNCT
ejpam-6026	60	22	s0	s0	PROPN
ejpam-6026	60	23	,	,	PUNCT
ejpam-6026	60	24	i0	i0	PROPN
ejpam-6026	60	25	,	,	PUNCT
ejpam-6026	60	26	p0	p0	NOUN
ejpam-6026	60	27	)	)	PUNCT
ejpam-6026	60	28	∈	∈	PROPN
ejpam-6026	60	29	r3	r3	PROPN
ejpam-6026	60	30	+	+	PROPN
ejpam-6026	60	31	.	.	PUNCT
ejpam-6026	60	32	proof	proof	NOUN
ejpam-6026	60	33	.	.	PUNCT
ejpam-6026	61	1	consider	consider	VERB
ejpam-6026	61	2	the	the	DET
ejpam-6026	61	3	function	function	NOUN
ejpam-6026	61	4	w	w	PROPN
ejpam-6026	61	5	(	(	PUNCT
ejpam-6026	61	6	t	t	PROPN
ejpam-6026	61	7	)	)	PUNCT
ejpam-6026	61	8	=	=	SYM
ejpam-6026	61	9	s(t	s(t	PROPN
ejpam-6026	61	10	)	)	PUNCT
ejpam-6026	61	11	+	+	NUM
ejpam-6026	61	12	i(t	i(t	NOUN
ejpam-6026	61	13	)	)	PUNCT
ejpam-6026	62	1	+	+	CCONJ
ejpam-6026	62	2	1	1	NUM
ejpam-6026	62	3	mp	mp	NOUN
ejpam-6026	62	4	(	(	PUNCT
ejpam-6026	62	5	t	t	PROPN
ejpam-6026	62	6	)	)	PUNCT
ejpam-6026	62	7	,	,	PUNCT
ejpam-6026	62	8	which	which	PRON
ejpam-6026	62	9	is	be	AUX
ejpam-6026	62	10	defined	define	VERB
ejpam-6026	62	11	from	from	ADP
ejpam-6026	62	12	r+	r+	NOUN
ejpam-6026	62	13	0	0	NUM
ejpam-6026	62	14	→	→	SYM
ejpam-6026	62	15	r+	r+	NOUN
ejpam-6026	62	16	0	0	NUM
ejpam-6026	62	17	and	and	CCONJ
ejpam-6026	62	18	is	be	AUX
ejpam-6026	62	19	differentiable	differentiable	ADJ
ejpam-6026	62	20	on	on	ADP
ejpam-6026	62	21	the	the	DET
ejpam-6026	62	22	interval	interval	NOUN
ejpam-6026	62	23	(	(	PUNCT
ejpam-6026	62	24	0	0	NUM
ejpam-6026	62	25	,	,	PUNCT
ejpam-6026	62	26	t	t	PROPN
ejpam-6026	62	27	)	)	PUNCT
ejpam-6026	62	28	.	.	PUNCT
ejpam-6026	63	1	the	the	DET
ejpam-6026	63	2	derivative	derivative	PROPN
ejpam-6026	63	3	dw	dw	PROPN
ejpam-6026	63	4	(	(	PUNCT
ejpam-6026	63	5	t	t	PROPN
ejpam-6026	63	6	)	)	PUNCT
ejpam-6026	63	7	dt	dt	NOUN
ejpam-6026	63	8	along	along	ADP
ejpam-6026	63	9	the	the	DET
ejpam-6026	63	10	trajectory	trajectory	NOUN
ejpam-6026	63	11	of	of	ADP
ejpam-6026	63	12	the	the	DET
ejpam-6026	63	13	system	system	NOUN
ejpam-6026	63	14	(	(	PUNCT
ejpam-6026	63	15	2.1	2.1	NUM
ejpam-6026	63	16	)	)	PUNCT
ejpam-6026	63	17	can	can	AUX
ejpam-6026	63	18	be	be	AUX
ejpam-6026	63	19	written	write	VERB
ejpam-6026	63	20	as	as	ADP
ejpam-6026	63	21	:	:	PUNCT
ejpam-6026	63	22	dw	dw	PROPN
ejpam-6026	63	23	(	(	PUNCT
ejpam-6026	63	24	t	t	PROPN
ejpam-6026	63	25	)	)	PUNCT
ejpam-6026	63	26	dt	dt	NOUN
ejpam-6026	64	1	=	=	NOUN
ejpam-6026	64	2	rs	rs	X
ejpam-6026	64	3	(	(	PUNCT
ejpam-6026	64	4	1−	1−	NUM
ejpam-6026	64	5	s	s	NOUN
ejpam-6026	65	1	+	+	NUM
ejpam-6026	65	2	i	i	PROPN
ejpam-6026	65	3	k	k	NOUN
ejpam-6026	65	4	)	)	PUNCT
ejpam-6026	66	1	−λis−	−λis−	X
ejpam-6026	66	2	αsp	αsp	PROPN
ejpam-6026	66	3	s	s	PART
ejpam-6026	66	4	+	+	NUM
ejpam-6026	66	5	bp	bp	PROPN
ejpam-6026	66	6	+	+	CCONJ
ejpam-6026	66	7	c	c	X
ejpam-6026	67	1	+	+	NOUN
ejpam-6026	67	2	λis−γip−d1i+	λis−γip−d1i+	NOUN
ejpam-6026	67	3	αsp	αsp	NOUN
ejpam-6026	67	4	s	s	PART
ejpam-6026	67	5	+	+	NUM
ejpam-6026	67	6	bp	bp	PROPN
ejpam-6026	67	7	+	+	CCONJ
ejpam-6026	67	8	c	c	X
ejpam-6026	68	1	−γip−d2	−γip−d2	INTJ
ejpam-6026	68	2	m	m	VERB
ejpam-6026	68	3	p.	p.	NOUN
ejpam-6026	68	4	now	now	ADV
ejpam-6026	68	5	,	,	PUNCT
ejpam-6026	68	6	for	for	ADP
ejpam-6026	68	7	any	any	DET
ejpam-6026	68	8	a	a	DET
ejpam-6026	68	9	>	>	X
ejpam-6026	68	10	0	0	NUM
ejpam-6026	68	11	,	,	PUNCT
ejpam-6026	68	12	we	we	PRON
ejpam-6026	68	13	have	have	VERB
ejpam-6026	68	14	dw	dw	PROPN
ejpam-6026	68	15	(	(	PUNCT
ejpam-6026	68	16	t	t	PROPN
ejpam-6026	68	17	)	)	PUNCT
ejpam-6026	68	18	dt	dt	NOUN
ejpam-6026	69	1	+	+	CCONJ
ejpam-6026	69	2	aw	aw	INTJ
ejpam-6026	69	3	(	(	PUNCT
ejpam-6026	69	4	t	t	NOUN
ejpam-6026	69	5	)	)	PUNCT
ejpam-6026	69	6	=	=	PUNCT
ejpam-6026	70	1	rs	r	NOUN
ejpam-6026	70	2	−	−	PROPN
ejpam-6026	71	1	rs2	rs2	NOUN
ejpam-6026	71	2	k	k	NOUN
ejpam-6026	71	3	−	−	PROPN
ejpam-6026	71	4	rsi	rsi	NOUN
ejpam-6026	71	5	k	k	PROPN
ejpam-6026	72	1	−	−	PROPN
ejpam-6026	72	2	2γip	2γip	PROPN
ejpam-6026	72	3	−	−	PROPN
ejpam-6026	72	4	d1i	d1i	PROPN
ejpam-6026	72	5	−	−	PROPN
ejpam-6026	72	6	d2	d2	NOUN
ejpam-6026	72	7	m	m	PROPN
ejpam-6026	72	8	p	p	NOUN
ejpam-6026	73	1	+	+	CCONJ
ejpam-6026	73	2	as	as	SCONJ
ejpam-6026	73	3	+	+	PRON
ejpam-6026	73	4	ai	ai	VERB
ejpam-6026	73	5	+	+	NOUN
ejpam-6026	73	6	a	a	DET
ejpam-6026	73	7	m	m	NOUN
ejpam-6026	73	8	p	p	NOUN
ejpam-6026	73	9	≤	≤	NUM
ejpam-6026	73	10	s	s	PART
ejpam-6026	73	11	(	(	PUNCT
ejpam-6026	73	12	r	r	NOUN
ejpam-6026	73	13	+	+	CCONJ
ejpam-6026	73	14	a−	a−	PROPN
ejpam-6026	73	15	r	r	NOUN
ejpam-6026	73	16	k	k	PROPN
ejpam-6026	73	17	s	s	PROPN
ejpam-6026	73	18	)	)	PUNCT
ejpam-6026	73	19	−	−	PROPN
ejpam-6026	74	1	(	(	PUNCT
ejpam-6026	74	2	d1	d1	NOUN
ejpam-6026	74	3	−	−	PROPN
ejpam-6026	74	4	a)i	a)i	X
ejpam-6026	74	5	−	−	PROPN
ejpam-6026	74	6	(	(	PUNCT
ejpam-6026	74	7	d2	d2	PROPN
ejpam-6026	74	8	−	−	PROPN
ejpam-6026	74	9	a	a	DET
ejpam-6026	74	10	m	m	NOUN
ejpam-6026	74	11	)	)	PUNCT
ejpam-6026	75	1	p	p	NOUN
ejpam-6026	75	2	≤	≤	NUM
ejpam-6026	75	3	s	s	PART
ejpam-6026	75	4	(	(	PUNCT
ejpam-6026	75	5	r	r	NOUN
ejpam-6026	75	6	+	+	CCONJ
ejpam-6026	75	7	a−	a−	PROPN
ejpam-6026	75	8	rs	rs	NOUN
ejpam-6026	75	9	k	k	PROPN
ejpam-6026	75	10	)	)	PUNCT
ejpam-6026	75	11	,	,	PUNCT
ejpam-6026	75	12	where	where	SCONJ
ejpam-6026	75	13	0	0	PUNCT
ejpam-6026	75	14	<	<	X
ejpam-6026	75	15	a	a	PRON
ejpam-6026	75	16	<	<	X
ejpam-6026	75	17	min{d1	min{d1	NOUN
ejpam-6026	75	18	,	,	PUNCT
ejpam-6026	75	19	d2	d2	PROPN
ejpam-6026	75	20	}	}	PUNCT
ejpam-6026	75	21	.	.	PUNCT
ejpam-6026	76	1	the	the	DET
ejpam-6026	76	2	maximum	maximum	ADJ
ejpam-6026	76	3	value	value	NOUN
ejpam-6026	76	4	of	of	ADP
ejpam-6026	76	5	the	the	DET
ejpam-6026	76	6	expression	expression	NOUN
ejpam-6026	76	7	s	s	PART
ejpam-6026	76	8	(	(	PUNCT
ejpam-6026	76	9	r	r	NOUN
ejpam-6026	76	10	+	+	CCONJ
ejpam-6026	76	11	a−	a−	PROPN
ejpam-6026	76	12	rs	rs	NOUN
ejpam-6026	76	13	k	k	PROPN
ejpam-6026	76	14	)	)	PUNCT
ejpam-6026	76	15	is	be	AUX
ejpam-6026	76	16	k(r+a)2	k(r+a)2	PROPN
ejpam-6026	76	17	4r	4r	NUM
ejpam-6026	76	18	.	.	PUNCT
ejpam-6026	77	1	k.	k.	PROPN
ejpam-6026	77	2	a.	a.	PROPN
ejpam-6026	77	3	hassan	hassan	PROPN
ejpam-6026	77	4	/	/	SYM
ejpam-6026	77	5	eur	eur	PROPN
ejpam-6026	77	6	.	.	PUNCT
ejpam-6026	78	1	j.	j.	PROPN
ejpam-6026	78	2	pure	pure	PROPN
ejpam-6026	78	3	appl	appl	PROPN
ejpam-6026	78	4	.	.	PROPN
ejpam-6026	78	5	math	math	PROPN
ejpam-6026	78	6	,	,	PUNCT
ejpam-6026	78	7	18	18	NUM
ejpam-6026	78	8	(	(	PUNCT
ejpam-6026	78	9	2	2	NUM
ejpam-6026	78	10	)	)	PUNCT
ejpam-6026	78	11	(	(	PUNCT
ejpam-6026	78	12	2025	2025	NUM
ejpam-6026	78	13	)	)	PUNCT
ejpam-6026	78	14	,	,	PUNCT
ejpam-6026	78	15	6026	6026	NUM
ejpam-6026	78	16	5	5	NUM
ejpam-6026	78	17	of	of	ADP
ejpam-6026	78	18	20	20	NUM
ejpam-6026	78	19	hence	hence	ADV
ejpam-6026	78	20	,	,	PUNCT
ejpam-6026	78	21	dw	dw	PROPN
ejpam-6026	78	22	(	(	PUNCT
ejpam-6026	78	23	t	t	PROPN
ejpam-6026	78	24	)	)	PUNCT
ejpam-6026	78	25	dt	dt	NOUN
ejpam-6026	79	1	+	+	CCONJ
ejpam-6026	79	2	aw	aw	INTJ
ejpam-6026	79	3	(	(	PUNCT
ejpam-6026	79	4	t	t	NOUN
ejpam-6026	79	5	)	)	PUNCT
ejpam-6026	79	6	≤	≤	NOUN
ejpam-6026	80	1	k(r	k(r	PROPN
ejpam-6026	80	2	+	+	PUNCT
ejpam-6026	80	3	a)2	a)2	NOUN
ejpam-6026	80	4	4r	4r	NOUN
ejpam-6026	80	5	,	,	PUNCT
ejpam-6026	80	6	∀t	∀t	PROPN
ejpam-6026	80	7	∈	∈	PROPN
ejpam-6026	80	8	(	(	PUNCT
ejpam-6026	80	9	0	0	NUM
ejpam-6026	80	10	,	,	PUNCT
ejpam-6026	80	11	t	t	NOUN
ejpam-6026	80	12	)	)	PUNCT
ejpam-6026	80	13	.	.	PUNCT
ejpam-6026	81	1	let	let	VERB
ejpam-6026	81	2	h(t	h(t	PROPN
ejpam-6026	81	3	,	,	PUNCT
ejpam-6026	81	4	y	y	NOUN
ejpam-6026	81	5	)	)	PUNCT
ejpam-6026	82	1	=	=	PUNCT
ejpam-6026	83	1	k(r	k(r	PROPN
ejpam-6026	83	2	+	+	PUNCT
ejpam-6026	83	3	a)2	a)2	NOUN
ejpam-6026	83	4	4r	4r	NOUN
ejpam-6026	83	5	−	−	PROPN
ejpam-6026	83	6	ay	ay	NOUN
ejpam-6026	83	7	,	,	PUNCT
ejpam-6026	83	8	which	which	PRON
ejpam-6026	83	9	satisfies	satisfy	VERB
ejpam-6026	83	10	the	the	DET
ejpam-6026	83	11	lipschitz	lipschitz	NOUN
ejpam-6026	83	12	condition	condition	NOUN
ejpam-6026	83	13	.	.	PUNCT
ejpam-6026	84	1	clearly	clearly	ADV
ejpam-6026	84	2	,	,	PUNCT
ejpam-6026	84	3	dw	dw	PROPN
ejpam-6026	84	4	(	(	PUNCT
ejpam-6026	84	5	t	t	PROPN
ejpam-6026	84	6	)	)	PUNCT
ejpam-6026	84	7	dt	dt	NOUN
ejpam-6026	85	1	=	=	PUNCT
ejpam-6026	85	2	k(r	k(r	PROPN
ejpam-6026	85	3	+	+	PUNCT
ejpam-6026	85	4	a)2	a)2	NOUN
ejpam-6026	85	5	4r	4r	NOUN
ejpam-6026	85	6	−	−	PROPN
ejpam-6026	85	7	aw	aw	INTJ
ejpam-6026	85	8	(	(	PUNCT
ejpam-6026	85	9	t	t	NOUN
ejpam-6026	85	10	)	)	PUNCT
ejpam-6026	85	11	=	=	PUNCT
ejpam-6026	86	1	h(t	h(t	PROPN
ejpam-6026	86	2	,	,	PUNCT
ejpam-6026	86	3	w	w	PROPN
ejpam-6026	86	4	(	(	PUNCT
ejpam-6026	86	5	t	t	PROPN
ejpam-6026	86	6	)	)	PUNCT
ejpam-6026	86	7	)	)	PUNCT
ejpam-6026	86	8	,	,	PUNCT
ejpam-6026	86	9	∀t	∀t	PROPN
ejpam-6026	86	10	∈	∈	PROPN
ejpam-6026	86	11	(	(	PUNCT
ejpam-6026	86	12	0	0	NUM
ejpam-6026	86	13	,	,	PUNCT
ejpam-6026	86	14	t	t	NOUN
ejpam-6026	86	15	)	)	PUNCT
ejpam-6026	86	16	.	.	PUNCT
ejpam-6026	87	1	let	let	VERB
ejpam-6026	87	2	dx	dx	PROPN
ejpam-6026	87	3	dt	dt	VERB
ejpam-6026	87	4	=	=	PUNCT
ejpam-6026	87	5	h(t	h(t	PROPN
ejpam-6026	87	6	,	,	PUNCT
ejpam-6026	87	7	x	x	X
ejpam-6026	87	8	)	)	PUNCT
ejpam-6026	87	9	=	=	PUNCT
ejpam-6026	88	1	k(r	k(r	PROPN
ejpam-6026	88	2	+	+	PUNCT
ejpam-6026	88	3	a)2	a)2	NOUN
ejpam-6026	88	4	4r	4r	NOUN
ejpam-6026	88	5	−	−	PROPN
ejpam-6026	88	6	ax	ax	NOUN
ejpam-6026	88	7	and	and	CCONJ
ejpam-6026	88	8	x0	x0	PROPN
ejpam-6026	88	9	=	=	SYM
ejpam-6026	89	1	w	w	PROPN
ejpam-6026	89	2	(	(	PUNCT
ejpam-6026	89	3	s0	s0	PROPN
ejpam-6026	89	4	,	,	PUNCT
ejpam-6026	89	5	i0	i0	PROPN
ejpam-6026	89	6	,	,	PUNCT
ejpam-6026	89	7	p0	p0	NOUN
ejpam-6026	89	8	)	)	PUNCT
ejpam-6026	89	9	.	.	PUNCT
ejpam-6026	90	1	the	the	DET
ejpam-6026	90	2	linear	linear	ADJ
ejpam-6026	90	3	ordinary	ordinary	ADJ
ejpam-6026	90	4	differential	differential	ADJ
ejpam-6026	90	5	equation	equation	NOUN
ejpam-6026	90	6	has	have	VERB
ejpam-6026	90	7	a	a	DET
ejpam-6026	90	8	solution	solution	NOUN
ejpam-6026	90	9	x(t	x(t	PROPN
ejpam-6026	90	10	)	)	PUNCT
ejpam-6026	91	1	=	=	PUNCT
ejpam-6026	91	2	m	m	VERB
ejpam-6026	91	3	a	a	PRON
ejpam-6026	91	4	(	(	PUNCT
ejpam-6026	91	5	1−	1−	NUM
ejpam-6026	91	6	e−at	e−at	NOUN
ejpam-6026	91	7	)	)	PUNCT
ejpam-6026	92	1	+	+	PROPN
ejpam-6026	92	2	x0e	x0e	PROPN
ejpam-6026	92	3	−at	−at	X
ejpam-6026	92	4	.	.	PUNCT
ejpam-6026	92	5	since	since	SCONJ
ejpam-6026	92	6	x(t	x(t	PROPN
ejpam-6026	92	7	)	)	PUNCT
ejpam-6026	92	8	is	be	AUX
ejpam-6026	92	9	bounded	bound	VERB
ejpam-6026	92	10	on	on	ADP
ejpam-6026	92	11	(	(	PUNCT
ejpam-6026	92	12	0	0	NUM
ejpam-6026	92	13	,	,	PUNCT
ejpam-6026	92	14	t	t	NOUN
ejpam-6026	92	15	)	)	PUNCT
ejpam-6026	92	16	,	,	PUNCT
ejpam-6026	92	17	by	by	ADP
ejpam-6026	92	18	the	the	DET
ejpam-6026	92	19	comparison	comparison	NOUN
ejpam-6026	92	20	theorem	theorem	VERB
ejpam-6026	92	21	[	[	X
ejpam-6026	92	22	20	20	NUM
ejpam-6026	92	23	]	]	PUNCT
ejpam-6026	92	24	,	,	PUNCT
ejpam-6026	92	25	w	w	PROPN
ejpam-6026	92	26	(	(	PUNCT
ejpam-6026	92	27	t	t	PROPN
ejpam-6026	92	28	)	)	PUNCT
ejpam-6026	92	29	≤	≤	NOUN
ejpam-6026	92	30	x(t	x(t	PROPN
ejpam-6026	92	31	)	)	PUNCT
ejpam-6026	93	1	=	=	PUNCT
ejpam-6026	93	2	m	m	VERB
ejpam-6026	93	3	a	a	PRON
ejpam-6026	93	4	(	(	PUNCT
ejpam-6026	93	5	1−	1−	NUM
ejpam-6026	93	6	e−at	e−at	NOUN
ejpam-6026	93	7	)	)	PUNCT
ejpam-6026	94	1	+	+	ADP
ejpam-6026	94	2	w	w	PROPN
ejpam-6026	94	3	(	(	PUNCT
ejpam-6026	94	4	s0	s0	PROPN
ejpam-6026	94	5	,	,	PUNCT
ejpam-6026	94	6	i0	i0	PROPN
ejpam-6026	94	7	,	,	PUNCT
ejpam-6026	94	8	p0)e	p0)e	NOUN
ejpam-6026	94	9	−at	−at	NOUN
ejpam-6026	94	10	,	,	PUNCT
ejpam-6026	94	11	∀t	∀t	PROPN
ejpam-6026	94	12	∈	∈	PROPN
ejpam-6026	94	13	(	(	PUNCT
ejpam-6026	94	14	0	0	NUM
ejpam-6026	94	15	,	,	PUNCT
ejpam-6026	94	16	tm	tm	NOUN
ejpam-6026	94	17	)	)	PUNCT
ejpam-6026	94	18	.	.	PUNCT
ejpam-6026	95	1	thus	thus	ADV
ejpam-6026	95	2	,	,	PUNCT
ejpam-6026	95	3	for	for	ADP
ejpam-6026	95	4	t	t	PROPN
ejpam-6026	95	5	→	→	SYM
ejpam-6026	95	6	∞	∞	PROPN
ejpam-6026	95	7	,	,	PUNCT
ejpam-6026	95	8	we	we	PRON
ejpam-6026	95	9	have	have	VERB
ejpam-6026	95	10	0	0	NUM
ejpam-6026	95	11	<	<	X
ejpam-6026	95	12	w	w	PROPN
ejpam-6026	95	13	(	(	PUNCT
ejpam-6026	95	14	t	t	PROPN
ejpam-6026	95	15	)	)	PUNCT
ejpam-6026	95	16	<	<	X
ejpam-6026	95	17	m	m	VERB
ejpam-6026	95	18	a	a	PRON
ejpam-6026	95	19	.	.	PUNCT
ejpam-6026	96	1	hence	hence	ADV
ejpam-6026	96	2	,	,	PUNCT
ejpam-6026	96	3	all	all	DET
ejpam-6026	96	4	solutions	solution	NOUN
ejpam-6026	96	5	are	be	AUX
ejpam-6026	96	6	bounded	bound	VERB
ejpam-6026	96	7	uniformly	uniformly	ADV
ejpam-6026	96	8	on	on	ADP
ejpam-6026	96	9	r+	r+	NOUN
ejpam-6026	96	10	0	0	NUM
ejpam-6026	96	11	.	.	PUNCT
ejpam-6026	97	1	for	for	ADP
ejpam-6026	97	2	non	non	ADJ
ejpam-6026	97	3	-	-	ADJ
ejpam-6026	97	4	dimensionless	dimensionless	ADJ
ejpam-6026	97	5	system	system	NOUN
ejpam-6026	97	6	(	(	PUNCT
ejpam-6026	97	7	3	3	NUM
ejpam-6026	97	8	)	)	PUNCT
ejpam-6026	97	9	,	,	PUNCT
ejpam-6026	97	10	we	we	PRON
ejpam-6026	97	11	apply	apply	VERB
ejpam-6026	97	12	the	the	DET
ejpam-6026	97	13	transformation	transformation	NOUN
ejpam-6026	97	14	:	:	PUNCT
ejpam-6026	97	15	s	s	X
ejpam-6026	97	16	=	=	SYM
ejpam-6026	97	17	s	s	X
ejpam-6026	97	18	k	k	NOUN
ejpam-6026	97	19	,	,	PUNCT
ejpam-6026	98	1	i	i	PRON
ejpam-6026	98	2	=	=	VERB
ejpam-6026	99	1	i	i	PRON
ejpam-6026	99	2	k	k	NOUN
ejpam-6026	99	3	,	,	PUNCT
ejpam-6026	99	4	p	p	X
ejpam-6026	99	5	=	=	X
ejpam-6026	100	1	p	p	PROPN
ejpam-6026	100	2	k	k	PROPN
ejpam-6026	100	3	,	,	PUNCT
ejpam-6026	100	4	t	t	PROPN
ejpam-6026	100	5	=	=	SYM
ejpam-6026	100	6	t	t	PROPN
ejpam-6026	100	7	λk	λk	X
ejpam-6026	100	8	,	,	PUNCT
ejpam-6026	100	9	to	to	PART
ejpam-6026	100	10	obtain	obtain	VERB
ejpam-6026	100	11	the	the	DET
ejpam-6026	100	12	following	following	ADJ
ejpam-6026	100	13	dimensionless	dimensionless	NOUN
ejpam-6026	100	14	system:	system:	NOUN
ejpam-6026	100	15	ds	ds	ADJ
ejpam-6026	100	16	dt	dt	NOUN
ejpam-6026	100	17	=	=	SYM
ejpam-6026	100	18	es	es	X
ejpam-6026	100	19	(	(	PUNCT
ejpam-6026	100	20	1−	1−	NUM
ejpam-6026	100	21	(	(	PUNCT
ejpam-6026	100	22	s+	s+	X
ejpam-6026	100	23	i))−	i))−	X
ejpam-6026	100	24	si−	si−	PROPN
ejpam-6026	100	25	n1sp	n1sp	PROPN
ejpam-6026	100	26	s+bp+d	s+bp+d	PROPN
ejpam-6026	100	27	,	,	PUNCT
ejpam-6026	100	28	di	di	NOUN
ejpam-6026	100	29	dt	dt	NOUN
ejpam-6026	100	30	=	=	SYM
ejpam-6026	100	31	si−	si−	PROPN
ejpam-6026	100	32	wip−	wip−	PROPN
ejpam-6026	100	33	d3i	d3i	PROPN
ejpam-6026	100	34	,	,	PUNCT
ejpam-6026	100	35	dp	dp	NOUN
ejpam-6026	101	1	dt	dt	NOUN
ejpam-6026	102	1	=	=	SYM
ejpam-6026	102	2	mn1sp	mn1sp	PROPN
ejpam-6026	102	3	s+bp+d	s+bp+d	PROPN
ejpam-6026	102	4	−mwpi−	−mwpi−	VERB
ejpam-6026	102	5	d4p	d4p	NOUN
ejpam-6026	102	6	,	,	PUNCT
ejpam-6026	102	7	(	(	PUNCT
ejpam-6026	102	8	4	4	NUM
ejpam-6026	102	9	)	)	PUNCT
ejpam-6026	102	10	where	where	SCONJ
ejpam-6026	102	11	e	e	NOUN
ejpam-6026	102	12	=	=	SYM
ejpam-6026	102	13	r	r	NOUN
ejpam-6026	102	14	λk	λk	X
ejpam-6026	102	15	,	,	PUNCT
ejpam-6026	102	16	n1	n1	PROPN
ejpam-6026	102	17	=	=	SYM
ejpam-6026	102	18	α	α	PROPN
ejpam-6026	102	19	λk	λk	X
ejpam-6026	102	20	,	,	PUNCT
ejpam-6026	102	21	d	d	PROPN
ejpam-6026	102	22	=	=	PUNCT
ejpam-6026	102	23	c	c	X
ejpam-6026	103	1	k	k	X
ejpam-6026	103	2	,	,	PUNCT
ejpam-6026	103	3	w	w	X
ejpam-6026	103	4	=	=	SYM
ejpam-6026	103	5	γ	γ	X
ejpam-6026	103	6	λ	λ	PROPN
ejpam-6026	103	7	,	,	PUNCT
ejpam-6026	103	8	d3	d3	PROPN
ejpam-6026	103	9	=	=	SYM
ejpam-6026	103	10	d1	d1	PROPN
ejpam-6026	103	11	λk	λk	ADP
ejpam-6026	103	12	,	,	PUNCT
ejpam-6026	103	13	and	and	CCONJ
ejpam-6026	103	14	d4	d4	PROPN
ejpam-6026	103	15	=	=	PROPN
ejpam-6026	103	16	d2	d2	PROPN
ejpam-6026	103	17	λk	λk	X
ejpam-6026	103	18	.	.	PUNCT
ejpam-6026	104	1	2.1	2.1	NUM
ejpam-6026	104	2	.	.	PUNCT
ejpam-6026	105	1	equilibria	equilibrium	NOUN
ejpam-6026	105	2	the	the	DET
ejpam-6026	105	3	system	system	NOUN
ejpam-6026	105	4	(	(	PUNCT
ejpam-6026	105	5	4	4	X
ejpam-6026	105	6	)	)	PUNCT
ejpam-6026	105	7	exhibits	exhibit	VERB
ejpam-6026	105	8	the	the	DET
ejpam-6026	105	9	following	follow	VERB
ejpam-6026	105	10	equilibrium	equilibrium	NOUN
ejpam-6026	105	11	points	point	NOUN
ejpam-6026	105	12	:	:	PUNCT
ejpam-6026	105	13	•	•	NUM
ejpam-6026	105	14	e0	e0	PROPN
ejpam-6026	105	15	=	=	SYM
ejpam-6026	105	16	(	(	PUNCT
ejpam-6026	105	17	0	0	NUM
ejpam-6026	105	18	,	,	PUNCT
ejpam-6026	105	19	0	0	NUM
ejpam-6026	105	20	,	,	PUNCT
ejpam-6026	105	21	0	0	NUM
ejpam-6026	105	22	)	)	PUNCT
ejpam-6026	105	23	and	and	CCONJ
ejpam-6026	105	24	e1	e1	NOUN
ejpam-6026	105	25	=	=	SYM
ejpam-6026	105	26	(	(	PUNCT
ejpam-6026	105	27	1	1	NUM
ejpam-6026	105	28	,	,	PUNCT
ejpam-6026	105	29	0	0	NUM
ejpam-6026	105	30	,	,	PUNCT
ejpam-6026	105	31	0	0	NUM
ejpam-6026	105	32	)	)	PUNCT
ejpam-6026	105	33	always	always	ADV
ejpam-6026	105	34	exist	exist	VERB
ejpam-6026	105	35	.	.	PUNCT
ejpam-6026	106	1	k.	k.	PROPN
ejpam-6026	106	2	a.	a.	PROPN
ejpam-6026	106	3	hassan	hassan	PROPN
ejpam-6026	106	4	/	/	SYM
ejpam-6026	106	5	eur	eur	PROPN
ejpam-6026	106	6	.	.	PUNCT
ejpam-6026	107	1	j.	j.	PROPN
ejpam-6026	107	2	pure	pure	PROPN
ejpam-6026	107	3	appl	appl	PROPN
ejpam-6026	107	4	.	.	PROPN
ejpam-6026	107	5	math	math	PROPN
ejpam-6026	107	6	,	,	PUNCT
ejpam-6026	107	7	18	18	NUM
ejpam-6026	107	8	(	(	PUNCT
ejpam-6026	107	9	2	2	NUM
ejpam-6026	107	10	)	)	PUNCT
ejpam-6026	107	11	(	(	PUNCT
ejpam-6026	107	12	2025	2025	NUM
ejpam-6026	107	13	)	)	PUNCT
ejpam-6026	107	14	,	,	PUNCT
ejpam-6026	107	15	6026	6026	NUM
ejpam-6026	107	16	6	6	NUM
ejpam-6026	107	17	of	of	ADP
ejpam-6026	107	18	20	20	NUM
ejpam-6026	107	19	•	•	NOUN
ejpam-6026	107	20	e2	e2	PROPN
ejpam-6026	107	21	=	=	SYM
ejpam-6026	107	22	(	(	PUNCT
ejpam-6026	107	23	d3	d3	PROPN
ejpam-6026	107	24	,	,	PUNCT
ejpam-6026	107	25	e(1−d3	e(1−d3	PROPN
ejpam-6026	107	26	)	)	PUNCT
ejpam-6026	107	27	e+1	e+1	NUM
ejpam-6026	107	28	,	,	PUNCT
ejpam-6026	107	29	0	0	NUM
ejpam-6026	107	30	)	)	PUNCT
ejpam-6026	107	31	exists	exist	VERB
ejpam-6026	107	32	where	where	SCONJ
ejpam-6026	107	33	d3	d3	PROPN
ejpam-6026	107	34	<	<	X
ejpam-6026	107	35	1	1	NUM
ejpam-6026	107	36	.	.	NOUN
ejpam-6026	107	37	•	•	NUM
ejpam-6026	107	38	e3	e3	NOUN
ejpam-6026	107	39	=	=	SYM
ejpam-6026	107	40	(	(	PUNCT
ejpam-6026	107	41	s̄	s̄	NOUN
ejpam-6026	107	42	,	,	PUNCT
ejpam-6026	107	43	0	0	NUM
ejpam-6026	107	44	,	,	PUNCT
ejpam-6026	107	45	p̄	p̄	NUM
ejpam-6026	107	46	)	)	PUNCT
ejpam-6026	107	47	exists	exist	VERB
ejpam-6026	107	48	in	in	ADP
ejpam-6026	107	49	the	the	DET
ejpam-6026	107	50	interior	interior	NOUN
ejpam-6026	107	51	of	of	ADP
ejpam-6026	107	52	r3	r3	PROPN
ejpam-6026	107	53	+	+	CCONJ
ejpam-6026	107	54	if	if	SCONJ
ejpam-6026	107	55	there	there	PRON
ejpam-6026	107	56	is	be	VERB
ejpam-6026	107	57	a	a	DET
ejpam-6026	107	58	positive	positive	ADJ
ejpam-6026	107	59	solution	solution	NOUN
ejpam-6026	107	60	to	to	ADP
ejpam-6026	107	61	the	the	DET
ejpam-6026	107	62	following	follow	VERB
ejpam-6026	107	63	set	set	NOUN
ejpam-6026	107	64	of	of	ADP
ejpam-6026	107	65	equations	equation	NOUN
ejpam-6026	107	66	:	:	PUNCT
ejpam-6026	107	67	e(1−	e(1−	ADJ
ejpam-6026	107	68	s̄	s̄	NOUN
ejpam-6026	107	69	)	)	PUNCT
ejpam-6026	107	70	=	=	SYM
ejpam-6026	107	71	n1p̄	n1p̄	PUNCT
ejpam-6026	107	72	s̄+	s̄+	NUM
ejpam-6026	108	1	bp̄+	bp̄+	PROPN
ejpam-6026	108	2	d	d	NOUN
ejpam-6026	108	3	,	,	PUNCT
ejpam-6026	108	4	(	(	PUNCT
ejpam-6026	108	5	5	5	NUM
ejpam-6026	108	6	)	)	PUNCT
ejpam-6026	108	7	mn1s̄	mn1s̄	PRON
ejpam-6026	108	8	s̄+	s̄+	NUM
ejpam-6026	108	9	bp̄+	bp̄+	PROPN
ejpam-6026	108	10	d	d	X
ejpam-6026	108	11	=	=	SYM
ejpam-6026	108	12	d4	d4	PROPN
ejpam-6026	108	13	.	.	PUNCT
ejpam-6026	109	1	(	(	PUNCT
ejpam-6026	109	2	6	6	NUM
ejpam-6026	109	3	)	)	PUNCT
ejpam-6026	109	4	from	from	ADP
ejpam-6026	109	5	equation	equation	NOUN
ejpam-6026	109	6	(	(	PUNCT
ejpam-6026	109	7	6	6	NUM
ejpam-6026	109	8	)	)	PUNCT
ejpam-6026	109	9	,	,	PUNCT
ejpam-6026	109	10	we	we	PRON
ejpam-6026	109	11	get	get	VERB
ejpam-6026	109	12	:	:	PUNCT
ejpam-6026	109	13	p̄	p̄	PROPN
ejpam-6026	109	14	=	=	PRON
ejpam-6026	110	1	(	(	PUNCT
ejpam-6026	110	2	mn1	mn1	PROPN
ejpam-6026	110	3	−	−	NOUN
ejpam-6026	110	4	d4)s̄−	d4)s̄−	PROPN
ejpam-6026	110	5	dd4	dd4	NOUN
ejpam-6026	110	6	bd4	bd4	NOUN
ejpam-6026	110	7	.	.	PUNCT
ejpam-6026	111	1	(	(	PUNCT
ejpam-6026	111	2	7	7	X
ejpam-6026	111	3	)	)	PUNCT
ejpam-6026	111	4	by	by	ADP
ejpam-6026	111	5	substituting	substitute	VERB
ejpam-6026	111	6	the	the	DET
ejpam-6026	111	7	value	value	NOUN
ejpam-6026	111	8	of	of	ADP
ejpam-6026	111	9	p̄	p̄	NOUN
ejpam-6026	111	10	into	into	ADP
ejpam-6026	111	11	equation	equation	NOUN
ejpam-6026	111	12	(	(	PUNCT
ejpam-6026	111	13	5	5	NUM
ejpam-6026	111	14	)	)	PUNCT
ejpam-6026	111	15	,	,	PUNCT
ejpam-6026	111	16	a	a	DET
ejpam-6026	111	17	set	set	NOUN
ejpam-6026	111	18	of	of	ADP
ejpam-6026	111	19	polynomial	polynomial	ADJ
ejpam-6026	111	20	equations	equation	NOUN
ejpam-6026	111	21	is	be	AUX
ejpam-6026	111	22	obtained	obtain	VERB
ejpam-6026	111	23	:	:	PUNCT
ejpam-6026	111	24	bms̄2	bms̄2	PROPN
ejpam-6026	112	1	+	+	CCONJ
ejpam-6026	112	2	(	(	PUNCT
ejpam-6026	112	3	mn1	mn1	PROPN
ejpam-6026	112	4	−	−	PROPN
ejpam-6026	112	5	bm−	bm−	PUNCT
ejpam-6026	112	6	d4)s̄−	d4)s̄−	PROPN
ejpam-6026	112	7	dd4	dd4	X
ejpam-6026	112	8	=	=	PUNCT
ejpam-6026	112	9	0	0	X
ejpam-6026	112	10	.	.	PUNCT
ejpam-6026	113	1	(	(	PUNCT
ejpam-6026	113	2	8)	8)	NUM
ejpam-6026	113	3	equation	equation	NOUN
ejpam-6026	113	4	(	(	PUNCT
ejpam-6026	113	5	8)	8)	NUM
ejpam-6026	113	6	has	have	VERB
ejpam-6026	113	7	a	a	DET
ejpam-6026	113	8	positive	positive	ADJ
ejpam-6026	113	9	root	root	NOUN
ejpam-6026	113	10	:	:	PUNCT
ejpam-6026	113	11	s̄	s̄	NOUN
ejpam-6026	113	12	=	=	SYM
ejpam-6026	113	13	(	(	PUNCT
ejpam-6026	113	14	d4	d4	PROPN
ejpam-6026	113	15	+	+	CCONJ
ejpam-6026	113	16	bm−mn1	bm−mn1	NOUN
ejpam-6026	113	17	)	)	PUNCT
ejpam-6026	113	18	+	+	CCONJ
ejpam-6026	113	19	√	√	PROPN
ejpam-6026	113	20	(	(	PUNCT
ejpam-6026	113	21	d4	d4	PROPN
ejpam-6026	113	22	+	+	CCONJ
ejpam-6026	113	23	bm−mn1)2	bm−mn1)2	PROPN
ejpam-6026	113	24	+	+	CCONJ
ejpam-6026	113	25	4bmdd4	4bmdd4	NUM
ejpam-6026	113	26	2bm	2bm	NOUN
ejpam-6026	113	27	.	.	PUNCT
ejpam-6026	114	1	so	so	ADV
ejpam-6026	114	2	,	,	PUNCT
ejpam-6026	114	3	e3	e3	NOUN
ejpam-6026	114	4	=	=	SYM
ejpam-6026	114	5	(	(	PUNCT
ejpam-6026	114	6	s̄	s̄	NOUN
ejpam-6026	114	7	,	,	PUNCT
ejpam-6026	114	8	0	0	NUM
ejpam-6026	114	9	,	,	PUNCT
ejpam-6026	114	10	p̄	p̄	NUM
ejpam-6026	114	11	)	)	PUNCT
ejpam-6026	114	12	exists	exist	VERB
ejpam-6026	114	13	in	in	ADP
ejpam-6026	114	14	the	the	DET
ejpam-6026	114	15	interior	interior	NOUN
ejpam-6026	114	16	of	of	ADP
ejpam-6026	114	17	r3	r3	PROPN
ejpam-6026	114	18	+	+	CCONJ
ejpam-6026	114	19	if	if	SCONJ
ejpam-6026	114	20	and	and	CCONJ
ejpam-6026	114	21	only	only	ADV
ejpam-6026	114	22	if	if	SCONJ
ejpam-6026	114	23	p̄	p̄	PROPN
ejpam-6026	114	24	is	be	AUX
ejpam-6026	114	25	given	give	VERB
ejpam-6026	114	26	by	by	ADP
ejpam-6026	114	27	equation	equation	NOUN
ejpam-6026	114	28	(	(	PUNCT
ejpam-6026	114	29	7	7	NUM
ejpam-6026	114	30	)	)	PUNCT
ejpam-6026	114	31	and	and	CCONJ
ejpam-6026	114	32	s̄	s̄	NOUN
ejpam-6026	114	33	satisfies	satisfie	NOUN
ejpam-6026	114	34	:	:	PUNCT
ejpam-6026	114	35	0	0	PUNCT
ejpam-6026	115	1	<	<	X
ejpam-6026	115	2	dd4	dd4	NOUN
ejpam-6026	115	3	mn1	mn1	PROPN
ejpam-6026	115	4	−	−	PROPN
ejpam-6026	115	5	d4	d4	PROPN
ejpam-6026	115	6	<	<	X
ejpam-6026	115	7	s̄	s̄	NOUN
ejpam-6026	115	8	<	<	X
ejpam-6026	115	9	1	1	NUM
ejpam-6026	115	10	.	.	PUNCT
ejpam-6026	116	1	(	(	PUNCT
ejpam-6026	116	2	9	9	NUM
ejpam-6026	116	3	)	)	PUNCT
ejpam-6026	116	4	•	•	NOUN
ejpam-6026	116	5	the	the	DET
ejpam-6026	116	6	interior	interior	ADJ
ejpam-6026	116	7	equilibrium	equilibrium	NOUN
ejpam-6026	116	8	point	point	NOUN
ejpam-6026	116	9	e∗	e∗	NOUN
ejpam-6026	116	10	=	=	SYM
ejpam-6026	116	11	(	(	PUNCT
ejpam-6026	116	12	s∗	s∗	PROPN
ejpam-6026	116	13	,	,	PUNCT
ejpam-6026	116	14	i∗	i∗	NOUN
ejpam-6026	116	15	,	,	PUNCT
ejpam-6026	116	16	p∗	p∗	PROPN
ejpam-6026	116	17	)	)	PUNCT
ejpam-6026	116	18	exists	exist	VERB
ejpam-6026	116	19	if	if	SCONJ
ejpam-6026	116	20	and	and	CCONJ
ejpam-6026	116	21	only	only	ADV
ejpam-6026	116	22	if	if	SCONJ
ejpam-6026	116	23	there	there	PRON
ejpam-6026	116	24	is	be	VERB
ejpam-6026	116	25	a	a	DET
ejpam-6026	116	26	positive	positive	ADJ
ejpam-6026	116	27	solution	solution	NOUN
ejpam-6026	116	28	to	to	ADP
ejpam-6026	116	29	the	the	DET
ejpam-6026	116	30	following	following	ADJ
ejpam-6026	116	31	nonlinear	nonlinear	ADJ
ejpam-6026	116	32	equations	equation	NOUN
ejpam-6026	116	33	:	:	PUNCT
ejpam-6026	116	34	e(1−	e(1−	PROPN
ejpam-6026	116	35	(	(	PUNCT
ejpam-6026	116	36	s+	s+	PUNCT
ejpam-6026	116	37	i))−	i))−	ADV
ejpam-6026	117	1	i−	i−	ADP
ejpam-6026	117	2	n1p	n1p	X
ejpam-6026	117	3	f	f	PROPN
ejpam-6026	118	1	=	=	SYM
ejpam-6026	118	2	0	0	PROPN
ejpam-6026	118	3	,	,	PUNCT
ejpam-6026	118	4	(	(	PUNCT
ejpam-6026	118	5	10	10	NUM
ejpam-6026	118	6	)	)	PUNCT
ejpam-6026	118	7	s−	s−	PROPN
ejpam-6026	118	8	wp−	wp−	NUM
ejpam-6026	118	9	d3	d3	PROPN
ejpam-6026	118	10	=	=	SYM
ejpam-6026	118	11	0	0	NUM
ejpam-6026	118	12	,	,	PUNCT
ejpam-6026	118	13	(	(	PUNCT
ejpam-6026	118	14	11	11	NUM
ejpam-6026	118	15	)	)	PUNCT
ejpam-6026	119	1	mn1s	mn1s	PROPN
ejpam-6026	119	2	f	f	X
ejpam-6026	119	3	−mwi−	−mwi−	X
ejpam-6026	119	4	d4	d4	PROPN
ejpam-6026	119	5	=	=	SYM
ejpam-6026	119	6	0	0	PROPN
ejpam-6026	119	7	,	,	PUNCT
ejpam-6026	119	8	(	(	PUNCT
ejpam-6026	119	9	12	12	NUM
ejpam-6026	119	10	)	)	PUNCT
ejpam-6026	119	11	where	where	SCONJ
ejpam-6026	119	12	f	f	PROPN
ejpam-6026	119	13	=	=	PUNCT
ejpam-6026	119	14	s+	s+	PUNCT
ejpam-6026	119	15	bp+	bp+	PROPN
ejpam-6026	119	16	d.	d.	PROPN
ejpam-6026	119	17	from	from	ADP
ejpam-6026	119	18	equation	equation	NOUN
ejpam-6026	119	19	(	(	PUNCT
ejpam-6026	119	20	11	11	NUM
ejpam-6026	119	21	)	)	PUNCT
ejpam-6026	119	22	,	,	PUNCT
ejpam-6026	119	23	we	we	PRON
ejpam-6026	119	24	get	get	VERB
ejpam-6026	119	25	:	:	PUNCT
ejpam-6026	119	26	p∗	p∗	ADJ
ejpam-6026	119	27	=	=	PUNCT
ejpam-6026	119	28	s∗	s∗	PROPN
ejpam-6026	119	29	−	−	PROPN
ejpam-6026	119	30	d3	d3	PROPN
ejpam-6026	119	31	w	w	PROPN
ejpam-6026	119	32	.	.	PUNCT
ejpam-6026	120	1	substituting	substitute	VERB
ejpam-6026	120	2	the	the	DET
ejpam-6026	120	3	value	value	NOUN
ejpam-6026	120	4	of	of	ADP
ejpam-6026	120	5	p∗	p∗	NOUN
ejpam-6026	120	6	into	into	ADP
ejpam-6026	120	7	equation	equation	NOUN
ejpam-6026	120	8	(	(	PUNCT
ejpam-6026	120	9	12	12	NUM
ejpam-6026	120	10	)	)	PUNCT
ejpam-6026	120	11	yields	yield	NOUN
ejpam-6026	120	12	:	:	PUNCT
ejpam-6026	120	13	i∗	i∗	NOUN
ejpam-6026	120	14	=	=	SYM
ejpam-6026	120	15	(	(	PUNCT
ejpam-6026	120	16	wmn1	wmn1	NOUN
ejpam-6026	120	17	−	−	PROPN
ejpam-6026	121	1	d4(w	d4(w	PROPN
ejpam-6026	121	2	+	+	CCONJ
ejpam-6026	121	3	b))s∗	b))s∗	ADJ
ejpam-6026	121	4	−	−	DET
ejpam-6026	121	5	d4(dw	d4(dw	PROPN
ejpam-6026	121	6	−	−	PROPN
ejpam-6026	121	7	bd3	bd3	NOUN
ejpam-6026	121	8	)	)	PUNCT
ejpam-6026	121	9	mw((w	mw((w	NOUN
ejpam-6026	121	10	+	+	CCONJ
ejpam-6026	121	11	b)s∗	b)s∗	ADJ
ejpam-6026	121	12	+	+	CCONJ
ejpam-6026	121	13	(	(	PUNCT
ejpam-6026	121	14	dw	dw	PROPN
ejpam-6026	121	15	−	−	PROPN
ejpam-6026	121	16	bd3	bd3	PROPN
ejpam-6026	121	17	)	)	PUNCT
ejpam-6026	121	18	)	)	PUNCT
ejpam-6026	121	19	.	.	PUNCT
ejpam-6026	122	1	k.	k.	PROPN
ejpam-6026	122	2	a.	a.	PROPN
ejpam-6026	122	3	hassan	hassan	PROPN
ejpam-6026	122	4	/	/	SYM
ejpam-6026	122	5	eur	eur	PROPN
ejpam-6026	122	6	.	.	PUNCT
ejpam-6026	123	1	j.	j.	PROPN
ejpam-6026	123	2	pure	pure	PROPN
ejpam-6026	123	3	appl	appl	PROPN
ejpam-6026	123	4	.	.	PROPN
ejpam-6026	123	5	math	math	PROPN
ejpam-6026	123	6	,	,	PUNCT
ejpam-6026	123	7	18	18	NUM
ejpam-6026	123	8	(	(	PUNCT
ejpam-6026	123	9	2	2	NUM
ejpam-6026	123	10	)	)	PUNCT
ejpam-6026	123	11	(	(	PUNCT
ejpam-6026	123	12	2025	2025	NUM
ejpam-6026	123	13	)	)	PUNCT
ejpam-6026	123	14	,	,	PUNCT
ejpam-6026	123	15	6026	6026	NUM
ejpam-6026	123	16	7	7	NUM
ejpam-6026	123	17	of	of	ADP
ejpam-6026	123	18	20	20	NUM
ejpam-6026	123	19	by	by	ADP
ejpam-6026	123	20	substituting	substitute	VERB
ejpam-6026	123	21	p∗	p∗	NOUN
ejpam-6026	123	22	and	and	CCONJ
ejpam-6026	123	23	i∗	i∗	NOUN
ejpam-6026	123	24	into	into	ADP
ejpam-6026	123	25	equation	equation	NOUN
ejpam-6026	123	26	(	(	PUNCT
ejpam-6026	123	27	10	10	NUM
ejpam-6026	123	28	)	)	PUNCT
ejpam-6026	124	1	,	,	PUNCT
ejpam-6026	124	2	we	we	PRON
ejpam-6026	124	3	get	get	VERB
ejpam-6026	124	4	a	a	DET
ejpam-6026	124	5	polynomial	polynomial	ADJ
ejpam-6026	124	6	equation	equation	NOUN
ejpam-6026	124	7	:	:	PUNCT
ejpam-6026	124	8	p	p	X
ejpam-6026	124	9	(	(	PUNCT
ejpam-6026	124	10	s∗	s∗	PROPN
ejpam-6026	124	11	)	)	PUNCT
ejpam-6026	124	12	=	=	PUNCT
ejpam-6026	124	13	a1s	a1s	ADJ
ejpam-6026	124	14	∗2	∗2	PROPN
ejpam-6026	124	15	+	+	ADJ
ejpam-6026	124	16	a2s	a2s	PROPN
ejpam-6026	124	17	∗	∗	PROPN
ejpam-6026	124	18	+	+	PROPN
ejpam-6026	124	19	a3	a3	NOUN
ejpam-6026	124	20	,	,	PUNCT
ejpam-6026	124	21	where	where	SCONJ
ejpam-6026	124	22	a1	a1	NOUN
ejpam-6026	124	23	=	=	SYM
ejpam-6026	124	24	mwe(w	mwe(w	PROPN
ejpam-6026	124	25	+	+	NUM
ejpam-6026	124	26	b	b	NOUN
ejpam-6026	124	27	)	)	PUNCT
ejpam-6026	124	28	,	,	PUNCT
ejpam-6026	124	29	a2	a2	PROPN
ejpam-6026	124	30	=	=	PROPN
ejpam-6026	124	31	mwe(dw	mwe(dw	PROPN
ejpam-6026	124	32	−	−	PROPN
ejpam-6026	124	33	bd3	bd3	PROPN
ejpam-6026	124	34	)	)	PUNCT
ejpam-6026	124	35	+	+	CCONJ
ejpam-6026	124	36	(	(	PUNCT
ejpam-6026	124	37	e+	e+	NUM
ejpam-6026	124	38	1)(mwn1	1)(mwn1	NUM
ejpam-6026	124	39	−	−	PROPN
ejpam-6026	124	40	d4(w	d4(w	PROPN
ejpam-6026	124	41	+	+	NUM
ejpam-6026	124	42	b	b	X
ejpam-6026	124	43	)	)	PUNCT
ejpam-6026	124	44	+	+	ADJ
ejpam-6026	124	45	mwn1	mwn1	ADJ
ejpam-6026	124	46	−mwe(w	−mwe(w	NOUN
ejpam-6026	124	47	+	+	CCONJ
ejpam-6026	124	48	b	b	NOUN
ejpam-6026	124	49	)	)	PUNCT
ejpam-6026	124	50	)	)	PUNCT
ejpam-6026	124	51	,	,	PUNCT
ejpam-6026	124	52	a3	a3	NOUN
ejpam-6026	124	53	=	=	PUNCT
ejpam-6026	124	54	(	(	PUNCT
ejpam-6026	124	55	e+	e+	NUM
ejpam-6026	124	56	1)(−d4(dw	1)(−d4(dw	NUM
ejpam-6026	124	57	−	−	PROPN
ejpam-6026	124	58	bd3))−mwn1d3	bd3))−mwn1d3	PROPN
ejpam-6026	124	59	−mwe(dw	−mwe(dw	PROPN
ejpam-6026	124	60	−	−	PROPN
ejpam-6026	124	61	bd3	bd3	PROPN
ejpam-6026	124	62	)	)	PUNCT
ejpam-6026	124	63	.	.	PUNCT
ejpam-6026	125	1	clearly	clearly	ADV
ejpam-6026	125	2	,	,	PUNCT
ejpam-6026	125	3	the	the	DET
ejpam-6026	125	4	equation	equation	NOUN
ejpam-6026	125	5	p	p	NOUN
ejpam-6026	125	6	(	(	PUNCT
ejpam-6026	125	7	s∗	s∗	PROPN
ejpam-6026	125	8	)	)	PUNCT
ejpam-6026	125	9	=	=	SYM
ejpam-6026	125	10	0	0	PUNCT
ejpam-6026	125	11	has	have	VERB
ejpam-6026	125	12	a	a	DET
ejpam-6026	125	13	positive	positive	ADJ
ejpam-6026	125	14	root	root	NOUN
ejpam-6026	125	15	s∗	s∗	PROPN
ejpam-6026	125	16	if	if	SCONJ
ejpam-6026	125	17	dw	dw	PROPN
ejpam-6026	125	18	−	−	PROPN
ejpam-6026	125	19	bd3	bd3	PROPN
ejpam-6026	125	20	>	>	X
ejpam-6026	125	21	0	0	X
ejpam-6026	125	22	.	.	PUNCT
ejpam-6026	126	1	hence	hence	ADV
ejpam-6026	126	2	,	,	PUNCT
ejpam-6026	126	3	e∗	e∗	PROPN
ejpam-6026	126	4	=	=	SYM
ejpam-6026	126	5	(	(	PUNCT
ejpam-6026	126	6	s∗	s∗	PROPN
ejpam-6026	126	7	,	,	PUNCT
ejpam-6026	126	8	i∗	i∗	NOUN
ejpam-6026	126	9	,	,	PUNCT
ejpam-6026	126	10	p∗	p∗	PROPN
ejpam-6026	126	11	)	)	PUNCT
ejpam-6026	126	12	exists	exist	VERB
ejpam-6026	126	13	if	if	SCONJ
ejpam-6026	126	14	:	:	PUNCT
ejpam-6026	126	15	d3	d3	PROPN
ejpam-6026	126	16	<	<	X
ejpam-6026	126	17	1	1	NUM
ejpam-6026	126	18	,	,	PUNCT
ejpam-6026	126	19	dw	dw	NOUN
ejpam-6026	126	20	−	−	PROPN
ejpam-6026	126	21	bd3	bd3	PROPN
ejpam-6026	126	22	>	>	X
ejpam-6026	126	23	0	0	NUM
ejpam-6026	126	24	,	,	PUNCT
ejpam-6026	126	25	and	and	CCONJ
ejpam-6026	126	26	s∗	s∗	PROPN
ejpam-6026	126	27	>	>	X
ejpam-6026	126	28	max	max	PROPN
ejpam-6026	126	29	{	{	PUNCT
ejpam-6026	126	30	d3	d3	PROPN
ejpam-6026	126	31	,	,	PUNCT
ejpam-6026	126	32	d4(dw	d4(dw	PROPN
ejpam-6026	126	33	−	−	PROPN
ejpam-6026	126	34	bd3	bd3	NOUN
ejpam-6026	126	35	)	)	PUNCT
ejpam-6026	126	36	mwn1	mwn1	NOUN
ejpam-6026	126	37	−	−	PROPN
ejpam-6026	126	38	wd4	wd4	VERB
ejpam-6026	126	39	−	−	PROPN
ejpam-6026	126	40	bd4	bd4	NOUN
ejpam-6026	126	41	}	}	PUNCT
ejpam-6026	126	42	.	.	PUNCT
ejpam-6026	127	1	(	(	PUNCT
ejpam-6026	127	2	13	13	NUM
ejpam-6026	127	3	)	)	PUNCT
ejpam-6026	127	4	2.2	2.2	NUM
ejpam-6026	127	5	.	.	PUNCT
ejpam-6026	128	1	stability	stability	NOUN
ejpam-6026	128	2	analysis	analysis	NOUN
ejpam-6026	128	3	the	the	DET
ejpam-6026	128	4	general	general	ADJ
ejpam-6026	128	5	variational	variational	ADJ
ejpam-6026	128	6	matrix	matrix	NOUN
ejpam-6026	128	7	of	of	ADP
ejpam-6026	128	8	the	the	DET
ejpam-6026	128	9	system	system	NOUN
ejpam-6026	128	10	at	at	ADP
ejpam-6026	128	11	(	(	PUNCT
ejpam-6026	128	12	s	s	X
ejpam-6026	128	13	,	,	PUNCT
ejpam-6026	128	14	i	i	PRON
ejpam-6026	128	15	,	,	PUNCT
ejpam-6026	128	16	p	p	NOUN
ejpam-6026	128	17	)	)	PUNCT
ejpam-6026	128	18	is	be	AUX
ejpam-6026	128	19	j	j	PROPN
ejpam-6026	128	20	=	=	PUNCT
ejpam-6026	129	1	[	[	X
ejpam-6026	129	2	uij	uij	X
ejpam-6026	129	3	]	]	SYM
ejpam-6026	129	4	3×3	3×3	NUM
ejpam-6026	129	5	,	,	PUNCT
ejpam-6026	129	6	where	where	SCONJ
ejpam-6026	129	7	:	:	PUNCT
ejpam-6026	129	8	u11	u11	PROPN
ejpam-6026	129	9	=	=	SYM
ejpam-6026	129	10	s	s	X
ejpam-6026	129	11	(	(	PUNCT
ejpam-6026	129	12	−e+	−e+	NOUN
ejpam-6026	129	13	n1p	n1p	PROPN
ejpam-6026	129	14	f	f	X
ejpam-6026	129	15	2	2	NUM
ejpam-6026	129	16	)	)	PUNCT
ejpam-6026	129	17	+	+	CCONJ
ejpam-6026	129	18	e(1−	e(1−	PROPN
ejpam-6026	129	19	s−	s−	PROPN
ejpam-6026	129	20	i)−	i)−	PROPN
ejpam-6026	129	21	i−	i−	PROPN
ejpam-6026	129	22	n1p	n1p	PROPN
ejpam-6026	129	23	f	f	X
ejpam-6026	129	24	,	,	PUNCT
ejpam-6026	129	25	u12	u12	PROPN
ejpam-6026	129	26	=	=	SYM
ejpam-6026	129	27	−s(e+	−s(e+	PROPN
ejpam-6026	129	28	1	1	NUM
ejpam-6026	129	29	)	)	PUNCT
ejpam-6026	129	30	,	,	PUNCT
ejpam-6026	129	31	u13	u13	NOUN
ejpam-6026	129	32	=	=	PUNCT
ejpam-6026	129	33	−n1s(s+	−n1s(s+	NOUN
ejpam-6026	129	34	d	d	NOUN
ejpam-6026	129	35	)	)	PUNCT
ejpam-6026	129	36	f	f	PROPN
ejpam-6026	129	37	2	2	NUM
ejpam-6026	129	38	,	,	PUNCT
ejpam-6026	129	39	u21	u21	PROPN
ejpam-6026	129	40	=	=	SYM
ejpam-6026	129	41	i	i	PROPN
ejpam-6026	129	42	,	,	PUNCT
ejpam-6026	129	43	u22	u22	PROPN
ejpam-6026	129	44	=	=	PROPN
ejpam-6026	129	45	s−	s−	PROPN
ejpam-6026	129	46	wp−	wp−	NUM
ejpam-6026	129	47	d3	d3	PROPN
ejpam-6026	129	48	,	,	PUNCT
ejpam-6026	129	49	u23	u23	PROPN
ejpam-6026	129	50	=	=	SYM
ejpam-6026	129	51	−wi	−wi	PROPN
ejpam-6026	129	52	,	,	PUNCT
ejpam-6026	129	53	u31	u31	NOUN
ejpam-6026	129	54	=	=	NOUN
ejpam-6026	129	55	mn1p(bp+	mn1p(bp+	NOUN
ejpam-6026	129	56	d	d	X
ejpam-6026	129	57	)	)	PUNCT
ejpam-6026	129	58	f	f	PROPN
ejpam-6026	129	59	2	2	NUM
ejpam-6026	129	60	,	,	PUNCT
ejpam-6026	129	61	u32	u32	NOUN
ejpam-6026	129	62	=	=	SYM
ejpam-6026	129	63	−mwp	−mwp	NOUN
ejpam-6026	129	64	,	,	PUNCT
ejpam-6026	129	65	u33	u33	ADJ
ejpam-6026	129	66	=	=	PUNCT
ejpam-6026	129	67	−mn1bsp	−mn1bsp	NOUN
ejpam-6026	129	68	f	f	NOUN
ejpam-6026	129	69	2	2	NUM
ejpam-6026	129	70	+	+	CCONJ
ejpam-6026	129	71	mn1s	mn1s	PROPN
ejpam-6026	129	72	f	f	X
ejpam-6026	129	73	−mwi−	−mwi−	X
ejpam-6026	129	74	d4	d4	PROPN
ejpam-6026	129	75	,	,	PUNCT
ejpam-6026	129	76	and	and	CCONJ
ejpam-6026	129	77	f	f	PROPN
ejpam-6026	129	78	=	=	PUNCT
ejpam-6026	129	79	s+	s+	PUNCT
ejpam-6026	129	80	bp+	bp+	PROPN
ejpam-6026	129	81	d.	d.	PROPN
ejpam-6026	129	82	theorem	theorem	VERB
ejpam-6026	129	83	2	2	NUM
ejpam-6026	129	84	.	.	PUNCT
ejpam-6026	130	1	the	the	DET
ejpam-6026	130	2	system	system	NOUN
ejpam-6026	130	3	(	(	PUNCT
ejpam-6026	130	4	4	4	X
ejpam-6026	130	5	)	)	PUNCT
ejpam-6026	130	6	is	be	AUX
ejpam-6026	130	7	unstable	unstable	ADJ
ejpam-6026	130	8	around	around	ADP
ejpam-6026	130	9	e0	e0	PROPN
ejpam-6026	130	10	for	for	ADP
ejpam-6026	130	11	all	all	DET
ejpam-6026	130	12	parameter	parameter	NOUN
ejpam-6026	130	13	values	value	NOUN
ejpam-6026	130	14	,	,	PUNCT
ejpam-6026	130	15	as	as	SCONJ
ejpam-6026	130	16	evidenced	evidence	VERB
ejpam-6026	130	17	by	by	ADP
ejpam-6026	130	18	the	the	DET
ejpam-6026	130	19	eigenvalues	eigenvalue	NOUN
ejpam-6026	130	20	:	:	PUNCT
ejpam-6026	130	21	λ1	λ1	ADJ
ejpam-6026	130	22	=	=	SYM
ejpam-6026	130	23	e	e	X
ejpam-6026	130	24	>	>	X
ejpam-6026	130	25	0	0	PROPN
ejpam-6026	130	26	,	,	PUNCT
ejpam-6026	130	27	λ2	λ2	NOUN
ejpam-6026	130	28	=	=	SYM
ejpam-6026	130	29	−d3	−d3	PROPN
ejpam-6026	130	30	<	<	X
ejpam-6026	130	31	0	0	NUM
ejpam-6026	130	32	,	,	PUNCT
ejpam-6026	130	33	and	and	CCONJ
ejpam-6026	130	34	λ3	λ3	PROPN
ejpam-6026	131	1	=	=	PROPN
ejpam-6026	131	2	−d4	−d4	ADJ
ejpam-6026	131	3	<	<	X
ejpam-6026	131	4	0	0	X
ejpam-6026	131	5	.	.	PUNCT
ejpam-6026	131	6	theorem	theorem	NOUN
ejpam-6026	131	7	3	3	NUM
ejpam-6026	131	8	.	.	PUNCT
ejpam-6026	132	1	the	the	DET
ejpam-6026	132	2	system	system	NOUN
ejpam-6026	132	3	(	(	PUNCT
ejpam-6026	132	4	4	4	X
ejpam-6026	132	5	)	)	PUNCT
ejpam-6026	132	6	is	be	AUX
ejpam-6026	132	7	locally	locally	ADV
ejpam-6026	132	8	asymptotically	asymptotically	ADV
ejpam-6026	132	9	stable	stable	ADJ
ejpam-6026	132	10	around	around	ADP
ejpam-6026	132	11	e1	e1	NOUN
ejpam-6026	132	12	=	=	SYM
ejpam-6026	132	13	(	(	PUNCT
ejpam-6026	132	14	1	1	NUM
ejpam-6026	132	15	,	,	PUNCT
ejpam-6026	132	16	0	0	NUM
ejpam-6026	132	17	,	,	PUNCT
ejpam-6026	132	18	0	0	NUM
ejpam-6026	132	19	)	)	PUNCT
ejpam-6026	132	20	,	,	PUNCT
ejpam-6026	132	21	if	if	SCONJ
ejpam-6026	132	22	d3	d3	PROPN
ejpam-6026	132	23	>	>	X
ejpam-6026	132	24	1	1	NUM
ejpam-6026	132	25	and	and	CCONJ
ejpam-6026	132	26	mn1	mn1	VERB
ejpam-6026	132	27	<	<	X
ejpam-6026	132	28	(	(	PUNCT
ejpam-6026	132	29	1	1	NUM
ejpam-6026	132	30	+	+	CCONJ
ejpam-6026	132	31	d)d4	d)d4	PROPN
ejpam-6026	132	32	.	.	PUNCT
ejpam-6026	133	1	proof	proof	NOUN
ejpam-6026	133	2	.	.	PUNCT
ejpam-6026	134	1	the	the	DET
ejpam-6026	134	2	eigenvalues	eigenvalue	NOUN
ejpam-6026	134	3	of	of	ADP
ejpam-6026	134	4	j(e1	j(e1	NOUN
ejpam-6026	134	5	)	)	PUNCT
ejpam-6026	134	6	are	be	AUX
ejpam-6026	134	7	:	:	PUNCT
ejpam-6026	134	8	λ1	λ1	ADJ
ejpam-6026	134	9	=	=	PUNCT
ejpam-6026	134	10	−e	−e	NOUN
ejpam-6026	134	11	,	,	PUNCT
ejpam-6026	134	12	λ2	λ2	NOUN
ejpam-6026	134	13	=	=	SYM
ejpam-6026	134	14	1−	1−	NUM
ejpam-6026	134	15	d3	d3	PROPN
ejpam-6026	134	16	,	,	PUNCT
ejpam-6026	134	17	and	and	CCONJ
ejpam-6026	134	18	λ3	λ3	PROPN
ejpam-6026	134	19	=	=	SYM
ejpam-6026	134	20	mn1	mn1	PROPN
ejpam-6026	134	21	1	1	NUM
ejpam-6026	135	1	+	+	CCONJ
ejpam-6026	135	2	d	d	NOUN
ejpam-6026	135	3	−	−	PROPN
ejpam-6026	135	4	d4	d4	PROPN
ejpam-6026	135	5	.	.	PUNCT
ejpam-6026	136	1	then	then	ADV
ejpam-6026	136	2	e1	e1	PROPN
ejpam-6026	136	3	is	be	AUX
ejpam-6026	136	4	stable	stable	ADJ
ejpam-6026	136	5	where	where	SCONJ
ejpam-6026	136	6	d3	d3	PROPN
ejpam-6026	136	7	>	>	X
ejpam-6026	136	8	1	1	NUM
ejpam-6026	136	9	and	and	CCONJ
ejpam-6026	136	10	mn1	mn1	VERB
ejpam-6026	136	11	<	<	X
ejpam-6026	136	12	(	(	PUNCT
ejpam-6026	136	13	1	1	NUM
ejpam-6026	136	14	+	+	CCONJ
ejpam-6026	136	15	d)d4	d)d4	PROPN
ejpam-6026	136	16	.	.	PUNCT
ejpam-6026	137	1	additionally	additionally	ADV
ejpam-6026	137	2	,	,	PUNCT
ejpam-6026	137	3	e1	e1	PROPN
ejpam-6026	137	4	is	be	AUX
ejpam-6026	137	5	globally	globally	ADV
ejpam-6026	137	6	asymptotically	asymptotically	ADV
ejpam-6026	137	7	stable	stable	ADJ
ejpam-6026	137	8	if	if	SCONJ
ejpam-6026	137	9	condition	condition	NOUN
ejpam-6026	137	10	(	(	PUNCT
ejpam-6026	137	11	9	9	NUM
ejpam-6026	137	12	)	)	PUNCT
ejpam-6026	137	13	does	do	AUX
ejpam-6026	137	14	not	not	PART
ejpam-6026	137	15	hold	hold	VERB
ejpam-6026	137	16	.	.	PUNCT
ejpam-6026	138	1	theorem	theorem	ADJ
ejpam-6026	138	2	4	4	NUM
ejpam-6026	138	3	.	.	PUNCT
ejpam-6026	139	1	the	the	DET
ejpam-6026	139	2	system	system	NOUN
ejpam-6026	139	3	(	(	PUNCT
ejpam-6026	139	4	4	4	X
ejpam-6026	139	5	)	)	PUNCT
ejpam-6026	139	6	is	be	AUX
ejpam-6026	139	7	locally	locally	ADV
ejpam-6026	139	8	asymptotically	asymptotically	ADV
ejpam-6026	139	9	stable	stable	ADJ
ejpam-6026	139	10	around	around	ADP
ejpam-6026	139	11	e2	e2	PROPN
ejpam-6026	139	12	=	=	SYM
ejpam-6026	139	13	(	(	PUNCT
ejpam-6026	139	14	d3	d3	PROPN
ejpam-6026	139	15	,	,	PUNCT
ejpam-6026	139	16	e(1−d3	e(1−d3	PROPN
ejpam-6026	139	17	)	)	PUNCT
ejpam-6026	139	18	e+1	e+1	NUM
ejpam-6026	139	19	,	,	PUNCT
ejpam-6026	139	20	0	0	NUM
ejpam-6026	139	21	)	)	PUNCT
ejpam-6026	139	22	,	,	PUNCT
ejpam-6026	139	23	if	if	SCONJ
ejpam-6026	139	24	:	:	PUNCT
ejpam-6026	139	25	n1	n1	PROPN
ejpam-6026	139	26	<	<	X
ejpam-6026	139	27	d3	d3	PROPN
ejpam-6026	139	28	+	+	CCONJ
ejpam-6026	139	29	d	d	PROPN
ejpam-6026	139	30	md3	md3	PROPN
ejpam-6026	139	31	(	(	PUNCT
ejpam-6026	139	32	mwe(1−	mwe(1−	PROPN
ejpam-6026	139	33	d3	d3	PROPN
ejpam-6026	139	34	)	)	PUNCT
ejpam-6026	139	35	e+	e+	VERB
ejpam-6026	139	36	1	1	NUM
ejpam-6026	139	37	+	+	NUM
ejpam-6026	139	38	d4	d4	PROPN
ejpam-6026	139	39	)	)	PUNCT
ejpam-6026	139	40	.	.	PUNCT
ejpam-6026	140	1	(	(	PUNCT
ejpam-6026	140	2	14	14	NUM
ejpam-6026	140	3	)	)	PUNCT
ejpam-6026	140	4	k.	k.	PROPN
ejpam-6026	140	5	a.	a.	PROPN
ejpam-6026	140	6	hassan	hassan	PROPN
ejpam-6026	140	7	/	/	SYM
ejpam-6026	140	8	eur	eur	PROPN
ejpam-6026	140	9	.	.	PUNCT
ejpam-6026	141	1	j.	j.	PROPN
ejpam-6026	141	2	pure	pure	PROPN
ejpam-6026	141	3	appl	appl	PROPN
ejpam-6026	141	4	.	.	PROPN
ejpam-6026	141	5	math	math	PROPN
ejpam-6026	141	6	,	,	PUNCT
ejpam-6026	141	7	18	18	NUM
ejpam-6026	141	8	(	(	PUNCT
ejpam-6026	141	9	2	2	NUM
ejpam-6026	141	10	)	)	PUNCT
ejpam-6026	141	11	(	(	PUNCT
ejpam-6026	141	12	2025	2025	NUM
ejpam-6026	141	13	)	)	PUNCT
ejpam-6026	141	14	,	,	PUNCT
ejpam-6026	141	15	6026	6026	NUM
ejpam-6026	141	16	8	8	NUM
ejpam-6026	141	17	of	of	ADP
ejpam-6026	141	18	20	20	NUM
ejpam-6026	141	19	proof	proof	NOUN
ejpam-6026	141	20	.	.	PUNCT
ejpam-6026	142	1	the	the	DET
ejpam-6026	142	2	variational	variational	ADJ
ejpam-6026	142	3	matrix	matrix	NOUN
ejpam-6026	142	4	about	about	ADP
ejpam-6026	142	5	the	the	DET
ejpam-6026	142	6	equilibrium	equilibrium	NOUN
ejpam-6026	142	7	point	point	NOUN
ejpam-6026	142	8	e2	e2	PROPN
ejpam-6026	142	9	=	=	SYM
ejpam-6026	142	10	(	(	PUNCT
ejpam-6026	142	11	d3	d3	PROPN
ejpam-6026	142	12	,	,	PUNCT
ejpam-6026	142	13	e(1−d3	e(1−d3	PROPN
ejpam-6026	142	14	)	)	PUNCT
ejpam-6026	142	15	e+1	e+1	NUM
ejpam-6026	142	16	,	,	PUNCT
ejpam-6026	142	17	0	0	NUM
ejpam-6026	142	18	)	)	PUNCT
ejpam-6026	142	19	yields	yield	NOUN
ejpam-6026	142	20	:	:	PUNCT
ejpam-6026	142	21	λ23	λ23	NOUN
ejpam-6026	142	22	=	=	PUNCT
ejpam-6026	143	1	mn1d3	mn1d3	PROPN
ejpam-6026	143	2	d3	d3	PROPN
ejpam-6026	143	3	+	+	CCONJ
ejpam-6026	144	1	d	d	NOUN
ejpam-6026	144	2	−	−	NOUN
ejpam-6026	144	3	mwe(1−	mwe(1−	PROPN
ejpam-6026	144	4	d3	d3	PROPN
ejpam-6026	144	5	)	)	PUNCT
ejpam-6026	144	6	e+	e+	VERB
ejpam-6026	144	7	1	1	NUM
ejpam-6026	144	8	−	−	PROPN
ejpam-6026	144	9	d4	d4	PROPN
ejpam-6026	144	10	,	,	PUNCT
ejpam-6026	144	11	where	where	SCONJ
ejpam-6026	144	12	the	the	DET
ejpam-6026	144	13	eigenvalues	eigenvalue	NOUN
ejpam-6026	144	14	λ21	λ21	NOUN
ejpam-6026	144	15	and	and	CCONJ
ejpam-6026	144	16	λ22	λ22	NOUN
ejpam-6026	144	17	are	be	AUX
ejpam-6026	144	18	roots	root	NOUN
ejpam-6026	144	19	of	of	ADP
ejpam-6026	144	20	the	the	DET
ejpam-6026	144	21	polynomial	polynomial	ADJ
ejpam-6026	144	22	equation	equation	NOUN
ejpam-6026	144	23	:	:	PUNCT
ejpam-6026	145	1	λ2	λ2	NOUN
ejpam-6026	145	2	+	+	CCONJ
ejpam-6026	145	3	ed3λ+	ed3λ+	NUM
ejpam-6026	145	4	ed3(1−	ed3(1−	PRON
ejpam-6026	145	5	d3	d3	PROPN
ejpam-6026	145	6	)	)	PUNCT
ejpam-6026	145	7	=	=	SYM
ejpam-6026	145	8	0	0	NUM
ejpam-6026	145	9	,	,	PUNCT
ejpam-6026	145	10	and	and	CCONJ
ejpam-6026	145	11	satisfy	satisfy	VERB
ejpam-6026	145	12	the	the	DET
ejpam-6026	145	13	following	follow	VERB
ejpam-6026	145	14	relations	relation	NOUN
ejpam-6026	145	15	:	:	PUNCT
ejpam-6026	145	16	λ21	λ21	X
ejpam-6026	145	17	+	+	CCONJ
ejpam-6026	145	18	λ22	λ22	PROPN
ejpam-6026	145	19	=	=	PUNCT
ejpam-6026	145	20	−ed3	−ed3	X
ejpam-6026	145	21	<	<	X
ejpam-6026	145	22	0	0	PROPN
ejpam-6026	145	23	and	and	CCONJ
ejpam-6026	145	24	λ21	λ21	NOUN
ejpam-6026	145	25	·	·	PUNCT
ejpam-6026	145	26	λ22	λ22	X
ejpam-6026	145	27	=	=	PUNCT
ejpam-6026	145	28	ed3(1−	ed3(1−	PUNCT
ejpam-6026	145	29	d3	d3	PROPN
ejpam-6026	145	30	)	)	PUNCT
ejpam-6026	145	31	>	>	X
ejpam-6026	145	32	0	0	PUNCT
ejpam-6026	145	33	(	(	PUNCT
ejpam-6026	145	34	since	since	SCONJ
ejpam-6026	145	35	d3	d3	PROPN
ejpam-6026	145	36	<	<	X
ejpam-6026	145	37	1	1	NUM
ejpam-6026	145	38	)	)	PUNCT
ejpam-6026	145	39	.	.	PUNCT
ejpam-6026	146	1	thus	thus	ADV
ejpam-6026	146	2	,	,	PUNCT
ejpam-6026	146	3	all	all	PRON
ejpam-6026	146	4	eigenvalues	eigenvalue	VERB
ejpam-6026	146	5	possess	possess	VERB
ejpam-6026	146	6	negative	negative	ADJ
ejpam-6026	146	7	real	real	ADJ
ejpam-6026	146	8	parts	part	NOUN
ejpam-6026	146	9	provided	provide	VERB
ejpam-6026	146	10	that	that	DET
ejpam-6026	146	11	condition	condition	NOUN
ejpam-6026	146	12	(	(	PUNCT
ejpam-6026	146	13	14	14	NUM
ejpam-6026	146	14	)	)	PUNCT
ejpam-6026	146	15	is	be	AUX
ejpam-6026	146	16	satisfied	satisfied	ADJ
ejpam-6026	146	17	.	.	PUNCT
ejpam-6026	147	1	theorem	theorem	NOUN
ejpam-6026	147	2	5	5	NUM
ejpam-6026	147	3	.	.	PUNCT
ejpam-6026	148	1	the	the	DET
ejpam-6026	148	2	system	system	NOUN
ejpam-6026	148	3	(	(	PUNCT
ejpam-6026	148	4	4	4	X
ejpam-6026	148	5	)	)	PUNCT
ejpam-6026	148	6	is	be	AUX
ejpam-6026	148	7	locally	locally	ADV
ejpam-6026	148	8	asymptotically	asymptotically	ADV
ejpam-6026	148	9	stable	stable	ADJ
ejpam-6026	148	10	around	around	ADP
ejpam-6026	148	11	e3	e3	NOUN
ejpam-6026	148	12	=	=	SYM
ejpam-6026	148	13	(	(	PUNCT
ejpam-6026	148	14	s̄	s̄	NOUN
ejpam-6026	148	15	,	,	PUNCT
ejpam-6026	148	16	0	0	NUM
ejpam-6026	148	17	,	,	PUNCT
ejpam-6026	148	18	p̄	p̄	NOUN
ejpam-6026	148	19	)	)	PUNCT
ejpam-6026	148	20	if	if	SCONJ
ejpam-6026	148	21	one	one	NUM
ejpam-6026	148	22	of	of	ADP
ejpam-6026	148	23	the	the	DET
ejpam-6026	148	24	following	follow	VERB
ejpam-6026	148	25	conditions	condition	NOUN
ejpam-6026	148	26	holds	hold	VERB
ejpam-6026	148	27	:	:	PUNCT
ejpam-6026	148	28	d3	d3	PROPN
ejpam-6026	148	29	≥	≥	NUM
ejpam-6026	148	30	1	1	NUM
ejpam-6026	148	31	and	and	CCONJ
ejpam-6026	148	32	d4	d4	PROPN
ejpam-6026	148	33	m	m	PROPN
ejpam-6026	148	34	<	<	X
ejpam-6026	148	35	n1	n1	X
ejpam-6026	148	36	<	<	X
ejpam-6026	148	37	e	e	X
ejpam-6026	148	38	p̄	p̄	X
ejpam-6026	148	39	(	(	PUNCT
ejpam-6026	148	40	s̄+	s̄+	NUM
ejpam-6026	148	41	bp̄+	bp̄+	PROPN
ejpam-6026	148	42	d)2	d)2	PROPN
ejpam-6026	148	43	,	,	PUNCT
ejpam-6026	148	44	(	(	PUNCT
ejpam-6026	148	45	15	15	X
ejpam-6026	148	46	)	)	PUNCT
ejpam-6026	148	47	d3	d3	VERB
ejpam-6026	148	48	<	<	X
ejpam-6026	148	49	1	1	NUM
ejpam-6026	148	50	and	and	CCONJ
ejpam-6026	148	51	d4	d4	PROPN
ejpam-6026	148	52	m	m	VERB
ejpam-6026	149	1	(	(	PUNCT
ejpam-6026	149	2	d	d	X
ejpam-6026	149	3	wp̄+	wp̄+	PROPN
ejpam-6026	149	4	d3	d3	PROPN
ejpam-6026	149	5	+	+	NOUN
ejpam-6026	149	6	1	1	NUM
ejpam-6026	149	7	)	)	PUNCT
ejpam-6026	149	8	<	<	X
ejpam-6026	149	9	n1	n1	PROPN
ejpam-6026	149	10	<	<	X
ejpam-6026	149	11	e	e	X
ejpam-6026	149	12	p̄	p̄	X
ejpam-6026	149	13	(	(	PUNCT
ejpam-6026	149	14	s̄+	s̄+	NUM
ejpam-6026	149	15	bp̄+	bp̄+	PROPN
ejpam-6026	149	16	d)2	d)2	PROPN
ejpam-6026	149	17	.	.	PUNCT
ejpam-6026	150	1	(	(	PUNCT
ejpam-6026	150	2	16	16	NUM
ejpam-6026	150	3	)	)	PUNCT
ejpam-6026	150	4	proof	proof	NOUN
ejpam-6026	150	5	.	.	PUNCT
ejpam-6026	151	1	by	by	ADP
ejpam-6026	151	2	substituting	substitute	VERB
ejpam-6026	151	3	e3	e3	NOUN
ejpam-6026	151	4	in	in	ADP
ejpam-6026	151	5	the	the	DET
ejpam-6026	151	6	variational	variational	ADJ
ejpam-6026	151	7	matrix	matrix	NOUN
ejpam-6026	151	8	,	,	PUNCT
ejpam-6026	151	9	we	we	PRON
ejpam-6026	151	10	obtain	obtain	VERB
ejpam-6026	151	11	j(e3	j(e3	ADJ
ejpam-6026	151	12	)	)	PUNCT
ejpam-6026	151	13	=	=	PUNCT
ejpam-6026	152	1	[	[	X
ejpam-6026	152	2	aij	aij	X
ejpam-6026	152	3	]	]	SYM
ejpam-6026	152	4	3×3	3×3	NUM
ejpam-6026	152	5	,	,	PUNCT
ejpam-6026	152	6	where	where	SCONJ
ejpam-6026	152	7	:	:	PUNCT
ejpam-6026	152	8	a11	a11	PROPN
ejpam-6026	152	9	=	=	PUNCT
ejpam-6026	152	10	s̄	s̄	NOUN
ejpam-6026	152	11	(	(	PUNCT
ejpam-6026	152	12	n1p̄	n1p̄	X
ejpam-6026	152	13	(	(	PUNCT
ejpam-6026	152	14	s̄+	s̄+	NUM
ejpam-6026	152	15	bp̄+	bp̄+	PROPN
ejpam-6026	152	16	d)2	d)2	VERB
ejpam-6026	152	17	−	−	PROPN
ejpam-6026	152	18	e	e	PROPN
ejpam-6026	152	19	)	)	PUNCT
ejpam-6026	152	20	,	,	PUNCT
ejpam-6026	152	21	a12	a12	NUM
ejpam-6026	152	22	=	=	SYM
ejpam-6026	152	23	−(e+	−(e+	NUM
ejpam-6026	152	24	1)s̄	1)s̄	NUM
ejpam-6026	152	25	(	(	PUNCT
ejpam-6026	152	26	<	<	X
ejpam-6026	152	27	0	0	NUM
ejpam-6026	152	28	)	)	PUNCT
ejpam-6026	152	29	,	,	PUNCT
ejpam-6026	152	30	a13	a13	NOUN
ejpam-6026	152	31	=	=	PUNCT
ejpam-6026	152	32	−n1s̄(s̄+	−n1s̄(s̄+	NOUN
ejpam-6026	152	33	d	d	NOUN
ejpam-6026	152	34	)	)	PUNCT
ejpam-6026	152	35	(	(	PUNCT
ejpam-6026	152	36	s̄+	s̄+	NUM
ejpam-6026	152	37	bp̄+	bp̄+	PROPN
ejpam-6026	152	38	d)2	d)2	PROPN
ejpam-6026	152	39	(	(	PUNCT
ejpam-6026	152	40	<	<	X
ejpam-6026	152	41	0	0	NUM
ejpam-6026	152	42	)	)	PUNCT
ejpam-6026	152	43	,	,	PUNCT
ejpam-6026	152	44	a22	a22	PROPN
ejpam-6026	152	45	=	=	SYM
ejpam-6026	152	46	s̄−	s̄−	PROPN
ejpam-6026	152	47	wp̄−	wp̄−	PROPN
ejpam-6026	152	48	d3	d3	PROPN
ejpam-6026	152	49	,	,	PUNCT
ejpam-6026	152	50	a31	a31	NOUN
ejpam-6026	152	51	=	=	SYM
ejpam-6026	152	52	mn1p̄(bp̄+	mn1p̄(bp̄+	PROPN
ejpam-6026	152	53	d	d	NOUN
ejpam-6026	152	54	)	)	PUNCT
ejpam-6026	152	55	(	(	PUNCT
ejpam-6026	152	56	s̄+	s̄+	NUM
ejpam-6026	152	57	bp̄+	bp̄+	PROPN
ejpam-6026	152	58	d)2	d)2	PROPN
ejpam-6026	152	59	(	(	PUNCT
ejpam-6026	152	60	>	>	X
ejpam-6026	152	61	0	0	NUM
ejpam-6026	152	62	)	)	PUNCT
ejpam-6026	152	63	,	,	PUNCT
ejpam-6026	152	64	a32	a32	X
ejpam-6026	152	65	=	=	PUNCT
ejpam-6026	152	66	−mwp̄	−mwp̄	PROPN
ejpam-6026	152	67	(	(	PUNCT
ejpam-6026	152	68	<	<	X
ejpam-6026	152	69	0	0	NUM
ejpam-6026	152	70	)	)	PUNCT
ejpam-6026	152	71	,	,	PUNCT
ejpam-6026	152	72	a33	a33	X
ejpam-6026	152	73	=	=	SYM
ejpam-6026	152	74	−bmn1s̄p̄	−bmn1s̄p̄	X
ejpam-6026	152	75	(	(	PUNCT
ejpam-6026	152	76	s̄+	s̄+	NUM
ejpam-6026	152	77	bp̄+	bp̄+	PROPN
ejpam-6026	152	78	d)2	d)2	PROPN
ejpam-6026	152	79	(	(	PUNCT
ejpam-6026	152	80	<	<	X
ejpam-6026	152	81	0	0	NUM
ejpam-6026	152	82	)	)	PUNCT
ejpam-6026	152	83	,	,	PUNCT
ejpam-6026	152	84	a21	a21	NOUN
ejpam-6026	152	85	=	=	SYM
ejpam-6026	152	86	a23	a23	PROPN
ejpam-6026	152	87	=	=	SYM
ejpam-6026	152	88	0	0	PROPN
ejpam-6026	152	89	.	.	PUNCT
ejpam-6026	153	1	the	the	DET
ejpam-6026	153	2	characteristic	characteristic	ADJ
ejpam-6026	153	3	equation	equation	NOUN
ejpam-6026	153	4	associated	associate	VERB
ejpam-6026	153	5	with	with	ADP
ejpam-6026	153	6	this	this	DET
ejpam-6026	153	7	variational	variational	ADJ
ejpam-6026	153	8	matrix	matrix	NOUN
ejpam-6026	153	9	can	can	AUX
ejpam-6026	153	10	be	be	AUX
ejpam-6026	153	11	expressed	express	VERB
ejpam-6026	153	12	as	as	ADP
ejpam-6026	153	13	:	:	PUNCT
ejpam-6026	153	14	(	(	PUNCT
ejpam-6026	153	15	λ−	λ−	PROPN
ejpam-6026	153	16	a22)[(λ−	a22)[(λ−	NOUN
ejpam-6026	153	17	a11)(λ−	a11)(λ−	VERB
ejpam-6026	153	18	a33)−	a33)−	NOUN
ejpam-6026	153	19	a13a31	a13a31	ADJ
ejpam-6026	153	20	]	]	X
ejpam-6026	153	21	=	=	SYM
ejpam-6026	153	22	0	0	NUM
ejpam-6026	153	23	,	,	PUNCT
ejpam-6026	153	24	or	or	CCONJ
ejpam-6026	153	25	equivalently	equivalently	ADV
ejpam-6026	153	26	:	:	PUNCT
ejpam-6026	153	27	(	(	PUNCT
ejpam-6026	154	1	λ−	λ−	PROPN
ejpam-6026	154	2	a22)[λ	a22)[λ	NOUN
ejpam-6026	154	3	2	2	NUM
ejpam-6026	154	4	+	+	CCONJ
ejpam-6026	154	5	(	(	PUNCT
ejpam-6026	154	6	a11	a11	PROPN
ejpam-6026	154	7	+	+	CCONJ
ejpam-6026	154	8	a33)λ+	a33)λ+	PROPN
ejpam-6026	154	9	a11a33	a11a33	ADJ
ejpam-6026	154	10	−	−	PROPN
ejpam-6026	154	11	a13a31	a13a31	ADJ
ejpam-6026	154	12	]	]	X
ejpam-6026	154	13	=	=	SYM
ejpam-6026	154	14	0	0	X
ejpam-6026	154	15	.	.	PUNCT
ejpam-6026	155	1	the	the	DET
ejpam-6026	155	2	eigenvalues	eigenvalue	NOUN
ejpam-6026	155	3	of	of	ADP
ejpam-6026	155	4	j(e3	j(e3	NOUN
ejpam-6026	155	5	)	)	PUNCT
ejpam-6026	155	6	satisfy	satisfy	VERB
ejpam-6026	155	7	the	the	DET
ejpam-6026	155	8	following	follow	VERB
ejpam-6026	155	9	relations	relation	NOUN
ejpam-6026	155	10	:	:	PUNCT
ejpam-6026	155	11	λ32	λ32	PROPN
ejpam-6026	155	12	=	=	SYM
ejpam-6026	155	13	a22	a22	PROPN
ejpam-6026	155	14	,	,	PUNCT
ejpam-6026	155	15	λ31	λ31	NOUN
ejpam-6026	155	16	+	+	CCONJ
ejpam-6026	155	17	λ33	λ33	PROPN
ejpam-6026	155	18	=	=	SYM
ejpam-6026	155	19	a11	a11	PROPN
ejpam-6026	155	20	+	+	CCONJ
ejpam-6026	155	21	a33	a33	PROPN
ejpam-6026	155	22	,	,	PUNCT
ejpam-6026	155	23	λ31	λ31	NOUN
ejpam-6026	155	24	·	·	PUNCT
ejpam-6026	155	25	λ33	λ33	NOUN
ejpam-6026	155	26	=	=	PUNCT
ejpam-6026	155	27	a11a33	a11a33	ADJ
ejpam-6026	155	28	−	−	PROPN
ejpam-6026	155	29	a13a31	a13a31	ADJ
ejpam-6026	155	30	.	.	PUNCT
ejpam-6026	156	1	we	we	PRON
ejpam-6026	156	2	analyze	analyze	VERB
ejpam-6026	156	3	the	the	DET
ejpam-6026	156	4	following	follow	VERB
ejpam-6026	156	5	cases	case	NOUN
ejpam-6026	156	6	:	:	PUNCT
ejpam-6026	156	7	k.	k.	PROPN
ejpam-6026	156	8	a.	a.	PROPN
ejpam-6026	156	9	hassan	hassan	PROPN
ejpam-6026	156	10	/	/	SYM
ejpam-6026	156	11	eur	eur	PROPN
ejpam-6026	156	12	.	.	PUNCT
ejpam-6026	157	1	j.	j.	PROPN
ejpam-6026	157	2	pure	pure	PROPN
ejpam-6026	157	3	appl	appl	PROPN
ejpam-6026	157	4	.	.	PROPN
ejpam-6026	157	5	math	math	PROPN
ejpam-6026	157	6	,	,	PUNCT
ejpam-6026	157	7	18	18	NUM
ejpam-6026	157	8	(	(	PUNCT
ejpam-6026	157	9	2	2	NUM
ejpam-6026	157	10	)	)	PUNCT
ejpam-6026	157	11	(	(	PUNCT
ejpam-6026	157	12	2025	2025	NUM
ejpam-6026	157	13	)	)	PUNCT
ejpam-6026	157	14	,	,	PUNCT
ejpam-6026	157	15	6026	6026	NUM
ejpam-6026	157	16	9	9	NUM
ejpam-6026	157	17	of	of	ADP
ejpam-6026	157	18	20	20	NUM
ejpam-6026	157	19	•	•	NOUN
ejpam-6026	157	20	if	if	SCONJ
ejpam-6026	157	21	d3	d3	PROPN
ejpam-6026	157	22	≥	≥	PRON
ejpam-6026	157	23	1	1	NUM
ejpam-6026	157	24	,	,	PUNCT
ejpam-6026	157	25	then	then	ADV
ejpam-6026	157	26	λ32	λ32	VERB
ejpam-6026	157	27	=	=	SYM
ejpam-6026	157	28	a22	a22	PROPN
ejpam-6026	157	29	=	=	PUNCT
ejpam-6026	157	30	s̄	s̄	NOUN
ejpam-6026	157	31	−	−	PROPN
ejpam-6026	157	32	wp̄	wp̄	VERB
ejpam-6026	157	33	−	−	PROPN
ejpam-6026	157	34	d3	d3	PROPN
ejpam-6026	157	35	<	<	X
ejpam-6026	157	36	0	0	PUNCT
ejpam-6026	157	37	(	(	PUNCT
ejpam-6026	157	38	since	since	SCONJ
ejpam-6026	157	39	s̄	s̄	NOUN
ejpam-6026	157	40	<	<	X
ejpam-6026	157	41	1	1	NUM
ejpam-6026	157	42	from	from	ADP
ejpam-6026	157	43	(	(	PUNCT
ejpam-6026	157	44	2.7	2.7	NUM
ejpam-6026	157	45	)	)	PUNCT
ejpam-6026	157	46	)	)	PUNCT
ejpam-6026	157	47	.	.	PUNCT
ejpam-6026	158	1	if	if	SCONJ
ejpam-6026	158	2	n1	n1	PROPN
ejpam-6026	158	3	<	<	X
ejpam-6026	158	4	e	e	X
ejpam-6026	158	5	p̄(s̄+	p̄(s̄+	PROPN
ejpam-6026	158	6	bp̄+	bp̄+	PROPN
ejpam-6026	158	7	d)2	d)2	PROPN
ejpam-6026	158	8	,	,	PUNCT
ejpam-6026	158	9	then	then	ADV
ejpam-6026	158	10	a11	a11	PROPN
ejpam-6026	158	11	<	<	X
ejpam-6026	158	12	0	0	PROPN
ejpam-6026	158	13	,	,	PUNCT
ejpam-6026	158	14	and	and	CCONJ
ejpam-6026	158	15	we	we	PRON
ejpam-6026	158	16	achieve	achieve	VERB
ejpam-6026	158	17	λ31	λ31	NOUN
ejpam-6026	158	18	+	+	CCONJ
ejpam-6026	158	19	λ33	λ33	PRON
ejpam-6026	158	20	<	<	X
ejpam-6026	158	21	0	0	PUNCT
ejpam-6026	159	1	and	and	CCONJ
ejpam-6026	159	2	λ31	λ31	NOUN
ejpam-6026	159	3	·	·	PUNCT
ejpam-6026	159	4	λ33	λ33	VERB
ejpam-6026	159	5	>	>	X
ejpam-6026	159	6	0	0	PROPN
ejpam-6026	159	7	.	.	PUNCT
ejpam-6026	160	1	hence	hence	ADV
ejpam-6026	160	2	,	,	PUNCT
ejpam-6026	160	3	for	for	ADP
ejpam-6026	160	4	d3	d3	PROPN
ejpam-6026	160	5	≥	≥	X
ejpam-6026	160	6	1	1	NUM
ejpam-6026	160	7	with	with	ADP
ejpam-6026	160	8	d4	d4	PROPN
ejpam-6026	160	9	m	m	PROPN
ejpam-6026	160	10	<	<	X
ejpam-6026	160	11	n1	n1	X
ejpam-6026	160	12	<	<	X
ejpam-6026	160	13	e	e	X
ejpam-6026	160	14	p̄(s̄	p̄(s̄	PROPN
ejpam-6026	160	15	+	+	CCONJ
ejpam-6026	160	16	bp̄	bp̄	PROPN
ejpam-6026	160	17	+	+	CCONJ
ejpam-6026	160	18	d)2	d)2	NOUN
ejpam-6026	160	19	,	,	PUNCT
ejpam-6026	160	20	e3	e3	NOUN
ejpam-6026	160	21	exists	exist	VERB
ejpam-6026	160	22	and	and	CCONJ
ejpam-6026	160	23	is	be	AUX
ejpam-6026	160	24	locally	locally	ADV
ejpam-6026	160	25	asymptotically	asymptotically	ADV
ejpam-6026	160	26	stable	stable	ADJ
ejpam-6026	160	27	.	.	PUNCT
ejpam-6026	161	1	•	•	INTJ
ejpam-6026	161	2	if	if	SCONJ
ejpam-6026	161	3	d3	d3	PROPN
ejpam-6026	161	4	<	<	X
ejpam-6026	161	5	1	1	NUM
ejpam-6026	161	6	,	,	PUNCT
ejpam-6026	161	7	then	then	ADV
ejpam-6026	161	8	λ32	λ32	VERB
ejpam-6026	161	9	=	=	SYM
ejpam-6026	161	10	a22	a22	PROPN
ejpam-6026	161	11	=	=	PUNCT
ejpam-6026	161	12	s̄	s̄	NOUN
ejpam-6026	161	13	−	−	PROPN
ejpam-6026	161	14	wp̄	wp̄	VERB
ejpam-6026	161	15	−	−	PROPN
ejpam-6026	161	16	d3	d3	PROPN
ejpam-6026	161	17	<	<	X
ejpam-6026	161	18	0	0	NUM
ejpam-6026	161	19	where	where	SCONJ
ejpam-6026	161	20	dd4	dd4	VERB
ejpam-6026	161	21	mn1−d4	mn1−d4	NOUN
ejpam-6026	161	22	<	<	X
ejpam-6026	161	23	s̄	s̄	NOUN
ejpam-6026	161	24	<	<	X
ejpam-6026	161	25	wp̄	wp̄	ADJ
ejpam-6026	161	26	+	+	CCONJ
ejpam-6026	161	27	d3	d3	PROPN
ejpam-6026	161	28	.	.	PUNCT
ejpam-6026	162	1	we	we	PRON
ejpam-6026	162	2	obtain	obtain	VERB
ejpam-6026	162	3	d4	d4	PROPN
ejpam-6026	162	4	m	m	VERB
ejpam-6026	162	5	(	(	PUNCT
ejpam-6026	162	6	d	d	SYM
ejpam-6026	162	7	wp̄+d3	wp̄+d3	NUM
ejpam-6026	162	8	+	+	NOUN
ejpam-6026	162	9	1	1	NUM
ejpam-6026	162	10	)	)	PUNCT
ejpam-6026	162	11	<	<	X
ejpam-6026	162	12	n1	n1	PROPN
ejpam-6026	162	13	.	.	PUNCT
ejpam-6026	163	1	as	as	ADP
ejpam-6026	163	2	in	in	ADP
ejpam-6026	163	3	the	the	DET
ejpam-6026	163	4	previous	previous	ADJ
ejpam-6026	163	5	case	case	NOUN
ejpam-6026	163	6	,	,	PUNCT
ejpam-6026	163	7	if	if	SCONJ
ejpam-6026	163	8	n1	n1	ADJ
ejpam-6026	163	9	<	<	X
ejpam-6026	163	10	e	e	X
ejpam-6026	163	11	p̄(s̄	p̄(s̄	PROPN
ejpam-6026	163	12	+	+	CCONJ
ejpam-6026	163	13	bp̄	bp̄	PROPN
ejpam-6026	163	14	+	+	CCONJ
ejpam-6026	163	15	d)2	d)2	NOUN
ejpam-6026	163	16	,	,	PUNCT
ejpam-6026	163	17	then	then	ADV
ejpam-6026	163	18	a11	a11	PROPN
ejpam-6026	163	19	<	<	X
ejpam-6026	163	20	0	0	PROPN
ejpam-6026	163	21	,	,	PUNCT
ejpam-6026	163	22	and	and	CCONJ
ejpam-6026	163	23	we	we	PRON
ejpam-6026	163	24	achieve	achieve	VERB
ejpam-6026	163	25	λ31	λ31	NOUN
ejpam-6026	163	26	+	+	CCONJ
ejpam-6026	163	27	λ33	λ33	PRON
ejpam-6026	163	28	<	<	X
ejpam-6026	163	29	0	0	PUNCT
ejpam-6026	164	1	and	and	CCONJ
ejpam-6026	164	2	λ31	λ31	NOUN
ejpam-6026	164	3	·	·	PUNCT
ejpam-6026	164	4	λ33	λ33	VERB
ejpam-6026	164	5	>	>	X
ejpam-6026	164	6	0	0	PROPN
ejpam-6026	164	7	.	.	PUNCT
ejpam-6026	165	1	hence	hence	ADV
ejpam-6026	165	2	,	,	PUNCT
ejpam-6026	165	3	for	for	ADP
ejpam-6026	165	4	d3	d3	PROPN
ejpam-6026	165	5	<	<	X
ejpam-6026	165	6	1	1	NUM
ejpam-6026	165	7	with	with	ADP
ejpam-6026	165	8	d4	d4	PROPN
ejpam-6026	165	9	m	m	VERB
ejpam-6026	165	10	(	(	PUNCT
ejpam-6026	165	11	d	d	SYM
ejpam-6026	165	12	wp̄+d3	wp̄+d3	NUM
ejpam-6026	165	13	+	+	NOUN
ejpam-6026	165	14	1	1	NUM
ejpam-6026	165	15	)	)	PUNCT
ejpam-6026	165	16	<	<	X
ejpam-6026	165	17	n1	n1	PROPN
ejpam-6026	165	18	<	<	X
ejpam-6026	165	19	e	e	X
ejpam-6026	165	20	p̄(s̄+	p̄(s̄+	NOUN
ejpam-6026	165	21	bp̄+d)2	bp̄+d)2	NOUN
ejpam-6026	165	22	,	,	PUNCT
ejpam-6026	165	23	e3	e3	NOUN
ejpam-6026	165	24	exists	exist	VERB
ejpam-6026	165	25	and	and	CCONJ
ejpam-6026	165	26	is	be	AUX
ejpam-6026	165	27	locally	locally	ADV
ejpam-6026	165	28	asymptotically	asymptotically	ADV
ejpam-6026	165	29	stable	stable	ADJ
ejpam-6026	165	30	.	.	PUNCT
ejpam-6026	166	1	theorem	theorem	VERB
ejpam-6026	166	2	6	6	NUM
ejpam-6026	166	3	.	.	PUNCT
ejpam-6026	167	1	for	for	ADP
ejpam-6026	167	2	all	all	DET
ejpam-6026	167	3	parameter	parameter	NOUN
ejpam-6026	167	4	values	value	NOUN
ejpam-6026	167	5	,	,	PUNCT
ejpam-6026	167	6	the	the	DET
ejpam-6026	167	7	equilibrium	equilibrium	NOUN
ejpam-6026	167	8	point	point	NOUN
ejpam-6026	167	9	e∗	e∗	PROPN
ejpam-6026	167	10	is	be	AUX
ejpam-6026	167	11	unstable	unstable	ADJ
ejpam-6026	167	12	.	.	PUNCT
ejpam-6026	168	1	proof	proof	NOUN
ejpam-6026	168	2	.	.	PUNCT
ejpam-6026	169	1	by	by	ADP
ejpam-6026	169	2	substituting	substitute	VERB
ejpam-6026	169	3	e∗	e∗	NOUN
ejpam-6026	169	4	in	in	ADP
ejpam-6026	169	5	the	the	DET
ejpam-6026	169	6	variational	variational	ADJ
ejpam-6026	169	7	matrix	matrix	NOUN
ejpam-6026	169	8	,	,	PUNCT
ejpam-6026	169	9	we	we	PRON
ejpam-6026	169	10	obtain	obtain	VERB
ejpam-6026	169	11	j(e∗	j(e∗	ADV
ejpam-6026	169	12	)	)	PUNCT
ejpam-6026	169	13	=	=	PUNCT
ejpam-6026	170	1	[	[	X
ejpam-6026	170	2	bij	bij	NOUN
ejpam-6026	170	3	]	]	X
ejpam-6026	170	4	3×3	3×3	NUM
ejpam-6026	170	5	,	,	PUNCT
ejpam-6026	170	6	where	where	SCONJ
ejpam-6026	170	7	:	:	PUNCT
ejpam-6026	170	8	b11	b11	PROPN
ejpam-6026	170	9	=	=	SYM
ejpam-6026	170	10	s∗	s∗	PROPN
ejpam-6026	170	11	[	[	PUNCT
ejpam-6026	170	12	n1p	n1p	X
ejpam-6026	170	13	∗	∗	X
ejpam-6026	170	14	f	f	NOUN
ejpam-6026	170	15	∗2	∗2	PROPN
ejpam-6026	170	16	−	−	PROPN
ejpam-6026	170	17	e	e	X
ejpam-6026	170	18	]	]	PUNCT
ejpam-6026	170	19	,	,	PUNCT
ejpam-6026	170	20	b12	b12	NOUN
ejpam-6026	170	21	=	=	SYM
ejpam-6026	170	22	−(e+	−(e+	NUM
ejpam-6026	170	23	1)s∗	1)s∗	NUM
ejpam-6026	170	24	<	<	X
ejpam-6026	170	25	0	0	NUM
ejpam-6026	170	26	,	,	PUNCT
ejpam-6026	170	27	b13	b13	NOUN
ejpam-6026	170	28	=	=	SYM
ejpam-6026	170	29	−n1s	−n1s	NUM
ejpam-6026	170	30	∗(s∗	∗(s∗	PROPN
ejpam-6026	171	1	+	+	CCONJ
ejpam-6026	171	2	d	d	X
ejpam-6026	171	3	)	)	PUNCT
ejpam-6026	171	4	f	f	PROPN
ejpam-6026	171	5	∗2	∗2	PROPN
ejpam-6026	171	6	<	<	X
ejpam-6026	171	7	0	0	PROPN
ejpam-6026	171	8	,	,	PUNCT
ejpam-6026	171	9	b21	b21	NOUN
ejpam-6026	171	10	=	=	PROPN
ejpam-6026	171	11	i∗	i∗	PROPN
ejpam-6026	171	12	>	>	X
ejpam-6026	171	13	0	0	NUM
ejpam-6026	171	14	,	,	PUNCT
ejpam-6026	171	15	b22	b22	PROPN
ejpam-6026	171	16	=	=	SYM
ejpam-6026	171	17	0	0	PROPN
ejpam-6026	171	18	,	,	PUNCT
ejpam-6026	171	19	b23	b23	NOUN
ejpam-6026	171	20	=	=	SYM
ejpam-6026	172	1	−wi∗	−wi∗	X
ejpam-6026	172	2	<	<	X
ejpam-6026	172	3	0	0	NUM
ejpam-6026	172	4	,	,	PUNCT
ejpam-6026	172	5	b31	b31	NOUN
ejpam-6026	172	6	=	=	SYM
ejpam-6026	172	7	mn1p	mn1p	PROPN
ejpam-6026	172	8	∗(bp∗	∗(bp∗	PROPN
ejpam-6026	173	1	+	+	CCONJ
ejpam-6026	174	1	d	d	X
ejpam-6026	174	2	)	)	PUNCT
ejpam-6026	174	3	f	f	PROPN
ejpam-6026	174	4	∗2	∗2	PROPN
ejpam-6026	174	5	>	>	X
ejpam-6026	174	6	0	0	NUM
ejpam-6026	174	7	,	,	PUNCT
ejpam-6026	174	8	b32	b32	NOUN
ejpam-6026	174	9	=	=	NOUN
ejpam-6026	174	10	−mwp∗	−mwp∗	NOUN
ejpam-6026	174	11	<	<	X
ejpam-6026	174	12	0	0	NUM
ejpam-6026	174	13	,	,	PUNCT
ejpam-6026	174	14	b33	b33	NOUN
ejpam-6026	174	15	=	=	SYM
ejpam-6026	174	16	−bmn1s	−bmn1s	NUM
ejpam-6026	174	17	∗p∗	∗p∗	PROPN
ejpam-6026	174	18	f	f	PROPN
ejpam-6026	174	19	∗2	∗2	PROPN
ejpam-6026	174	20	<	<	X
ejpam-6026	174	21	0	0	NUM
ejpam-6026	174	22	,	,	PUNCT
ejpam-6026	174	23	and	and	CCONJ
ejpam-6026	174	24	f	f	PROPN
ejpam-6026	174	25	∗	∗	NOUN
ejpam-6026	174	26	=	=	PUNCT
ejpam-6026	174	27	s∗	s∗	PROPN
ejpam-6026	174	28	+	+	CCONJ
ejpam-6026	174	29	bp∗	bp∗	NOUN
ejpam-6026	174	30	+	+	CCONJ
ejpam-6026	174	31	d.	d.	NOUN
ejpam-6026	174	32	the	the	DET
ejpam-6026	174	33	characteristic	characteristic	ADJ
ejpam-6026	174	34	equation	equation	NOUN
ejpam-6026	174	35	of	of	ADP
ejpam-6026	174	36	j(e∗	j(e∗	NOUN
ejpam-6026	174	37	)	)	PUNCT
ejpam-6026	174	38	can	can	AUX
ejpam-6026	174	39	be	be	AUX
ejpam-6026	174	40	expressed	express	VERB
ejpam-6026	174	41	as	as	ADP
ejpam-6026	174	42	:	:	PUNCT
ejpam-6026	174	43	λ3	λ3	PROPN
ejpam-6026	174	44	+	+	PROPN
ejpam-6026	174	45	d1λ	d1λ	PROPN
ejpam-6026	174	46	2	2	NUM
ejpam-6026	174	47	+	+	NOUN
ejpam-6026	174	48	d2λ+d3	d2λ+d3	NOUN
ejpam-6026	174	49	=	=	SYM
ejpam-6026	174	50	0	0	NUM
ejpam-6026	174	51	,	,	PUNCT
ejpam-6026	174	52	where	where	SCONJ
ejpam-6026	174	53	:	:	PUNCT
ejpam-6026	175	1	d1	d1	NOUN
ejpam-6026	175	2	=	=	PUNCT
ejpam-6026	176	1	−(b11	−(b11	X
ejpam-6026	176	2	+	+	CCONJ
ejpam-6026	176	3	b33	b33	NUM
ejpam-6026	176	4	)	)	PUNCT
ejpam-6026	176	5	,	,	PUNCT
ejpam-6026	176	6	d2	d2	PROPN
ejpam-6026	176	7	=	=	SYM
ejpam-6026	176	8	b11b33	b11b33	ADJ
ejpam-6026	176	9	−	−	PROPN
ejpam-6026	176	10	b13b31	b13b31	NOUN
ejpam-6026	176	11	−	−	PROPN
ejpam-6026	176	12	b23b32	b23b32	PROPN
ejpam-6026	176	13	−	−	PROPN
ejpam-6026	176	14	b12b21	b12b21	NOUN
ejpam-6026	176	15	,	,	PUNCT
ejpam-6026	176	16	d3	d3	PROPN
ejpam-6026	176	17	=	=	SYM
ejpam-6026	176	18	b11b23b32	b11b23b32	PROPN
ejpam-6026	176	19	−	−	PROPN
ejpam-6026	176	20	b23b31b12	b23b31b12	PROPN
ejpam-6026	176	21	−	−	PROPN
ejpam-6026	176	22	b13b21b32	b13b21b32	PROPN
ejpam-6026	176	23	+	+	PROPN
ejpam-6026	176	24	b12b21b33	b12b21b33	PROPN
ejpam-6026	176	25	.	.	PUNCT
ejpam-6026	177	1	by	by	ADP
ejpam-6026	177	2	substituting	substitute	VERB
ejpam-6026	177	3	the	the	DET
ejpam-6026	177	4	values	value	NOUN
ejpam-6026	177	5	of	of	ADP
ejpam-6026	177	6	bij	bij	NOUN
ejpam-6026	177	7	into	into	ADP
ejpam-6026	177	8	d3	d3	PROPN
ejpam-6026	177	9	,	,	PUNCT
ejpam-6026	177	10	we	we	PRON
ejpam-6026	177	11	obtain	obtain	VERB
ejpam-6026	177	12	:	:	PUNCT
ejpam-6026	177	13	d3	d3	PROPN
ejpam-6026	177	14	=	=	SYM
ejpam-6026	177	15	(	(	PUNCT
ejpam-6026	177	16	n1s	n1s	PROPN
ejpam-6026	177	17	∗p∗	∗p∗	PROPN
ejpam-6026	178	1	f	f	PROPN
ejpam-6026	178	2	∗2	∗2	PROPN
ejpam-6026	178	3	−	−	PROPN
ejpam-6026	178	4	s∗e	s∗e	PROPN
ejpam-6026	178	5	)	)	PUNCT
ejpam-6026	178	6	mw2f	mw2f	VERB
ejpam-6026	178	7	∗p∗−mwn1s	∗p∗−mwn1s	ADP
ejpam-6026	178	8	∗(s∗	∗(s∗	PROPN
ejpam-6026	179	1	+	+	CCONJ
ejpam-6026	179	2	d)i∗p∗	d)i∗p∗	PROPN
ejpam-6026	179	3	f	f	PROPN
ejpam-6026	179	4	∗2	∗2	PROPN
ejpam-6026	179	5	+	+	CCONJ
ejpam-6026	179	6	mn1(e+	mn1(e+	NUM
ejpam-6026	179	7	1)s∗p∗i∗	1)s∗p∗i∗	NUM
ejpam-6026	179	8	f	f	PROPN
ejpam-6026	179	9	∗2	∗2	PROPN
ejpam-6026	179	10	(	(	PUNCT
ejpam-6026	179	11	bs∗	bs∗	NOUN
ejpam-6026	179	12	−	−	PROPN
ejpam-6026	179	13	w(bp∗	w(bp∗	PROPN
ejpam-6026	180	1	+	+	CCONJ
ejpam-6026	180	2	d	d	NOUN
ejpam-6026	180	3	)	)	PUNCT
ejpam-6026	180	4	)	)	PUNCT
ejpam-6026	180	5	.	.	PUNCT
ejpam-6026	181	1	(	(	PUNCT
ejpam-6026	181	2	17	17	NUM
ejpam-6026	181	3	)	)	PUNCT
ejpam-6026	181	4	since	since	SCONJ
ejpam-6026	181	5	s∗	s∗	PROPN
ejpam-6026	181	6	=	=	SYM
ejpam-6026	181	7	wp∗	wp∗	NOUN
ejpam-6026	181	8	+	+	NUM
ejpam-6026	181	9	d3	d3	PROPN
ejpam-6026	181	10	and	and	CCONJ
ejpam-6026	181	11	simplifying	simplify	VERB
ejpam-6026	181	12	equation	equation	NOUN
ejpam-6026	181	13	(	(	PUNCT
ejpam-6026	181	14	17	17	NUM
ejpam-6026	181	15	)	)	PUNCT
ejpam-6026	181	16	,	,	PUNCT
ejpam-6026	181	17	we	we	PRON
ejpam-6026	181	18	obtain	obtain	VERB
ejpam-6026	181	19	:	:	PUNCT
ejpam-6026	181	20	d3	d3	PROPN
ejpam-6026	181	21	=	=	SYM
ejpam-6026	181	22	−mw2es∗i∗p∗	−mw2es∗i∗p∗	PROPN
ejpam-6026	181	23	+	+	CCONJ
ejpam-6026	181	24	mwn1s	mwn1s	PROPN
ejpam-6026	181	25	∗i∗p∗	∗i∗p∗	NOUN
ejpam-6026	181	26	(	(	PUNCT
ejpam-6026	181	27	f	f	PROPN
ejpam-6026	181	28	∗)2	∗)2	PROPN
ejpam-6026	182	1	[	[	X
ejpam-6026	182	2	wp∗	wp∗	NOUN
ejpam-6026	182	3	−	−	NOUN
ejpam-6026	182	4	(	(	PUNCT
ejpam-6026	182	5	s∗	s∗	PROPN
ejpam-6026	182	6	+	+	CCONJ
ejpam-6026	182	7	d	d	NOUN
ejpam-6026	182	8	)	)	PUNCT
ejpam-6026	182	9	]	]	PUNCT
ejpam-6026	183	1	+	+	CCONJ
ejpam-6026	183	2	mn1(e+	mn1(e+	NUM
ejpam-6026	183	3	1)s∗i∗p∗	1)s∗i∗p∗	PROPN
ejpam-6026	183	4	(	(	PUNCT
ejpam-6026	183	5	f	f	PROPN
ejpam-6026	183	6	∗)2	∗)2	PROPN
ejpam-6026	184	1	[	[	X
ejpam-6026	184	2	b(wp∗	b(wp∗	X
ejpam-6026	184	3	+	+	CCONJ
ejpam-6026	184	4	d3)−	d3)−	PROPN
ejpam-6026	184	5	wbp∗	wbp∗	NOUN
ejpam-6026	184	6	−	−	PROPN
ejpam-6026	184	7	dw	dw	X
ejpam-6026	184	8	]	]	X
ejpam-6026	184	9	=	=	PUNCT
ejpam-6026	184	10	−mw2es∗i∗p∗	−mw2es∗i∗p∗	PROPN
ejpam-6026	184	11	−	−	NOUN
ejpam-6026	184	12	mwn1es	mwn1es	PROPN
ejpam-6026	184	13	∗i∗p∗	∗i∗p∗	PROPN
ejpam-6026	184	14	(	(	PUNCT
ejpam-6026	184	15	f	f	PROPN
ejpam-6026	184	16	∗)2	∗)2	PROPN
ejpam-6026	184	17	[	[	X
ejpam-6026	184	18	d3	d3	X
ejpam-6026	184	19	+	+	X
ejpam-6026	184	20	d	d	X
ejpam-6026	184	21	]	]	X
ejpam-6026	184	22	+	+	CCONJ
ejpam-6026	184	23	mn1(e+	mn1(e+	NUM
ejpam-6026	184	24	1	1	NUM
ejpam-6026	184	25	)	)	PUNCT
ejpam-6026	184	26	(	(	PUNCT
ejpam-6026	184	27	f	f	X
ejpam-6026	184	28	∗)2	∗)2	ADV
ejpam-6026	184	29	s∗i∗p∗	s∗i∗p∗	PROPN
ejpam-6026	185	1	[	[	X
ejpam-6026	185	2	bd3	bd3	X
ejpam-6026	185	3	−	−	PROPN
ejpam-6026	185	4	dw	dw	NOUN
ejpam-6026	185	5	]	]	PUNCT
ejpam-6026	185	6	from	from	ADP
ejpam-6026	185	7	the	the	DET
ejpam-6026	185	8	existence	existence	NOUN
ejpam-6026	185	9	condition	condition	NOUN
ejpam-6026	185	10	(	(	PUNCT
ejpam-6026	185	11	13	13	NUM
ejpam-6026	185	12	)	)	PUNCT
ejpam-6026	185	13	of	of	ADP
ejpam-6026	185	14	e∗	e∗	PROPN
ejpam-6026	185	15	,	,	PUNCT
ejpam-6026	185	16	bd3−dw	bd3−dw	X
ejpam-6026	185	17	<	<	X
ejpam-6026	185	18	0	0	NUM
ejpam-6026	185	19	.	.	PUNCT
ejpam-6026	186	1	thus	thus	ADV
ejpam-6026	186	2	,	,	PUNCT
ejpam-6026	186	3	d3	d3	PROPN
ejpam-6026	186	4	becomes	become	VERB
ejpam-6026	186	5	negative	negative	ADJ
ejpam-6026	186	6	,	,	PUNCT
ejpam-6026	186	7	which	which	PRON
ejpam-6026	186	8	violates	violate	VERB
ejpam-6026	186	9	the	the	DET
ejpam-6026	186	10	routh	routh	PROPN
ejpam-6026	186	11	-	-	PUNCT
ejpam-6026	186	12	hurwitz	hurwitz	PROPN
ejpam-6026	186	13	criterion	criterion	NOUN
ejpam-6026	186	14	for	for	ADP
ejpam-6026	186	15	stability	stability	NOUN
ejpam-6026	186	16	.	.	PUNCT
ejpam-6026	187	1	therefore	therefore	ADV
ejpam-6026	187	2	,	,	PUNCT
ejpam-6026	187	3	the	the	DET
ejpam-6026	187	4	equilibrium	equilibrium	NOUN
ejpam-6026	187	5	point	point	NOUN
ejpam-6026	187	6	e∗	e∗	PROPN
ejpam-6026	187	7	is	be	AUX
ejpam-6026	187	8	unstable	unstable	ADJ
ejpam-6026	187	9	for	for	ADP
ejpam-6026	187	10	all	all	DET
ejpam-6026	187	11	parameter	parameter	NOUN
ejpam-6026	187	12	values	value	NOUN
ejpam-6026	187	13	.	.	PUNCT
ejpam-6026	188	1	k.	k.	PROPN
ejpam-6026	188	2	a.	a.	PROPN
ejpam-6026	188	3	hassan	hassan	PROPN
ejpam-6026	188	4	/	/	SYM
ejpam-6026	188	5	eur	eur	PROPN
ejpam-6026	188	6	.	.	PUNCT
ejpam-6026	189	1	j.	j.	PROPN
ejpam-6026	189	2	pure	pure	PROPN
ejpam-6026	189	3	appl	appl	PROPN
ejpam-6026	189	4	.	.	PROPN
ejpam-6026	189	5	math	math	PROPN
ejpam-6026	189	6	,	,	PUNCT
ejpam-6026	189	7	18	18	NUM
ejpam-6026	189	8	(	(	PUNCT
ejpam-6026	189	9	2	2	NUM
ejpam-6026	189	10	)	)	PUNCT
ejpam-6026	189	11	(	(	PUNCT
ejpam-6026	189	12	2025	2025	NUM
ejpam-6026	189	13	)	)	PUNCT
ejpam-6026	189	14	,	,	PUNCT
ejpam-6026	189	15	6026	6026	NUM
ejpam-6026	189	16	10	10	NUM
ejpam-6026	189	17	of	of	ADP
ejpam-6026	189	18	20	20	NUM
ejpam-6026	189	19	3	3	NUM
ejpam-6026	189	20	.	.	PUNCT
ejpam-6026	189	21	second	second	ADJ
ejpam-6026	189	22	model	model	NOUN
ejpam-6026	189	23	analysis	analysis	NOUN
ejpam-6026	189	24	in	in	ADP
ejpam-6026	189	25	this	this	DET
ejpam-6026	189	26	section	section	NOUN
ejpam-6026	189	27	,	,	PUNCT
ejpam-6026	189	28	the	the	DET
ejpam-6026	189	29	boundedness	boundedness	NOUN
ejpam-6026	189	30	,	,	PUNCT
ejpam-6026	189	31	finding	find	VERB
ejpam-6026	189	32	equilibria	equilibrium	NOUN
ejpam-6026	189	33	,	,	PUNCT
ejpam-6026	189	34	and	and	CCONJ
ejpam-6026	189	35	their	their	PRON
ejpam-6026	189	36	stability	stability	NOUN
ejpam-6026	189	37	are	be	AUX
ejpam-6026	189	38	described	describe	VERB
ejpam-6026	189	39	with	with	ADP
ejpam-6026	189	40	respect	respect	NOUN
ejpam-6026	189	41	to	to	ADP
ejpam-6026	189	42	the	the	DET
ejpam-6026	189	43	holling	holle	VERB
ejpam-6026	189	44	type	type	NOUN
ejpam-6026	189	45	iv	iv	NUM
ejpam-6026	189	46	functional	functional	ADJ
ejpam-6026	189	47	response	response	NOUN
ejpam-6026	189	48	.	.	PUNCT
ejpam-6026	190	1	eco	eco	NOUN
ejpam-6026	190	2	-	-	PUNCT
ejpam-6026	190	3	epidemiological	epidemiological	ADJ
ejpam-6026	190	4	model	model	NOUN
ejpam-6026	190	5	with	with	ADP
ejpam-6026	190	6	holling	holle	VERB
ejpam-6026	190	7	type	type	NOUN
ejpam-6026	190	8	iv	iv	NUM
ejpam-6026	190	9	functional	functional	ADJ
ejpam-6026	190	10	response	response	NOUN
ejpam-6026	190	11	the	the	DET
ejpam-6026	190	12	eco	eco	NOUN
ejpam-6026	190	13	-	-	PUNCT
ejpam-6026	190	14	epidemiological	epidemiological	ADJ
ejpam-6026	190	15	model	model	NOUN
ejpam-6026	190	16	with	with	ADP
ejpam-6026	190	17	holling	holle	VERB
ejpam-6026	190	18	type	type	NOUN
ejpam-6026	190	19	iv	iv	NUM
ejpam-6026	190	20	functional	functional	ADJ
ejpam-6026	190	21	response	response	NOUN
ejpam-6026	190	22	is	be	AUX
ejpam-6026	190	23	given	give	VERB
ejpam-6026	190	24	by:	by:	NOUN
ejpam-6026	190	25	ds	ds	NOUN
ejpam-6026	190	26	dt	dt	NOUN
ejpam-6026	190	27	=	=	SYM
ejpam-6026	190	28	rs	rs	X
ejpam-6026	190	29	(	(	PUNCT
ejpam-6026	190	30	1−	1−	NUM
ejpam-6026	190	31	s+i	s+i	PROPN
ejpam-6026	190	32	k	k	X
ejpam-6026	190	33	)	)	PUNCT
ejpam-6026	190	34	−	−	PROPN
ejpam-6026	191	1	λis	λis	INTJ
ejpam-6026	191	2	−	−	PROPN
ejpam-6026	191	3	αsp	αsp	PROPN
ejpam-6026	191	4	1+a1s+a2s2	1+a1s+a2s2	NOUN
ejpam-6026	191	5	,	,	PUNCT
ejpam-6026	191	6	di	di	INTJ
ejpam-6026	191	7	dt	dt	NOUN
ejpam-6026	191	8	=	=	PUNCT
ejpam-6026	191	9	λis	λis	PROPN
ejpam-6026	191	10	−	−	PROPN
ejpam-6026	191	11	γip	γip	ADP
ejpam-6026	191	12	−	−	PROPN
ejpam-6026	191	13	d1i	d1i	NOUN
ejpam-6026	191	14	,	,	PUNCT
ejpam-6026	191	15	dp	dp	NOUN
ejpam-6026	191	16	dt	dt	NOUN
ejpam-6026	191	17	=	=	SYM
ejpam-6026	191	18	αmsp	αmsp	PROPN
ejpam-6026	191	19	1+a1s+a2s2	1+a1s+a2s2	NOUN
ejpam-6026	191	20	−mγip	−mγip	PUNCT
ejpam-6026	192	1	−	−	ADP
ejpam-6026	192	2	d2p	d2p	NOUN
ejpam-6026	192	3	,	,	PUNCT
ejpam-6026	192	4	(	(	PUNCT
ejpam-6026	192	5	18	18	NUM
ejpam-6026	192	6	)	)	PUNCT
ejpam-6026	192	7	where	where	SCONJ
ejpam-6026	192	8	the	the	DET
ejpam-6026	192	9	system	system	NOUN
ejpam-6026	192	10	(	(	PUNCT
ejpam-6026	192	11	18	18	NUM
ejpam-6026	192	12	)	)	PUNCT
ejpam-6026	192	13	is	be	AUX
ejpam-6026	192	14	analyzed	analyze	VERB
ejpam-6026	192	15	under	under	ADP
ejpam-6026	192	16	the	the	DET
ejpam-6026	192	17	initial	initial	ADJ
ejpam-6026	192	18	conditions	condition	NOUN
ejpam-6026	192	19	s(0	s(0	PROPN
ejpam-6026	192	20	)	)	PUNCT
ejpam-6026	192	21	>	>	X
ejpam-6026	193	1	0	0	NUM
ejpam-6026	193	2	,	,	PUNCT
ejpam-6026	193	3	i(0	i(0	PROPN
ejpam-6026	193	4	)	)	PUNCT
ejpam-6026	193	5	>	>	X
ejpam-6026	194	1	0	0	NUM
ejpam-6026	194	2	,	,	PUNCT
ejpam-6026	194	3	and	and	CCONJ
ejpam-6026	194	4	p	p	X
ejpam-6026	194	5	(	(	PUNCT
ejpam-6026	194	6	0	0	NUM
ejpam-6026	194	7	)	)	PUNCT
ejpam-6026	194	8	>	>	X
ejpam-6026	195	1	0	0	X
ejpam-6026	195	2	.	.	PUNCT
ejpam-6026	196	1	for	for	ADP
ejpam-6026	196	2	this	this	DET
ejpam-6026	196	3	functional	functional	ADJ
ejpam-6026	196	4	response	response	NOUN
ejpam-6026	196	5	,	,	PUNCT
ejpam-6026	196	6	we	we	PRON
ejpam-6026	196	7	use	use	VERB
ejpam-6026	196	8	parameters	parameter	NOUN
ejpam-6026	196	9	a1	a1	NOUN
ejpam-6026	196	10	and	and	CCONJ
ejpam-6026	196	11	a2	a2	PROPN
ejpam-6026	196	12	instead	instead	ADV
ejpam-6026	196	13	of	of	ADP
ejpam-6026	196	14	parameters	parameter	NOUN
ejpam-6026	196	15	b1	b1	VERB
ejpam-6026	196	16	and	and	CCONJ
ejpam-6026	196	17	b2	b2	NOUN
ejpam-6026	196	18	used	use	VERB
ejpam-6026	196	19	in	in	ADP
ejpam-6026	196	20	system	system	NOUN
ejpam-6026	196	21	(	(	PUNCT
ejpam-6026	196	22	3	3	NUM
ejpam-6026	196	23	)	)	PUNCT
ejpam-6026	196	24	.	.	PUNCT
ejpam-6026	197	1	the	the	DET
ejpam-6026	197	2	rest	rest	NOUN
ejpam-6026	197	3	of	of	ADP
ejpam-6026	197	4	the	the	DET
ejpam-6026	197	5	parameters	parameter	NOUN
ejpam-6026	197	6	remain	remain	VERB
ejpam-6026	197	7	the	the	DET
ejpam-6026	197	8	same	same	ADJ
ejpam-6026	197	9	.	.	PUNCT
ejpam-6026	198	1	the	the	DET
ejpam-6026	198	2	parameters	parameter	NOUN
ejpam-6026	198	3	a1	a1	VERB
ejpam-6026	198	4	and	and	CCONJ
ejpam-6026	198	5	a2	a2	PROPN
ejpam-6026	198	6	represent	represent	VERB
ejpam-6026	198	7	handling	handling	NOUN
ejpam-6026	198	8	times	time	NOUN
ejpam-6026	198	9	and	and	CCONJ
ejpam-6026	198	10	inhibitory	inhibitory	ADJ
ejpam-6026	198	11	effects	effect	NOUN
ejpam-6026	198	12	,	,	PUNCT
ejpam-6026	198	13	respectively	respectively	ADV
ejpam-6026	198	14	.	.	PUNCT
ejpam-6026	199	1	theorem	theorem	VERB
ejpam-6026	199	2	7	7	NUM
ejpam-6026	199	3	.	.	PUNCT
ejpam-6026	200	1	the	the	DET
ejpam-6026	200	2	solution	solution	NOUN
ejpam-6026	200	3	(	(	PUNCT
ejpam-6026	200	4	s(t	s(t	PROPN
ejpam-6026	200	5	)	)	PUNCT
ejpam-6026	200	6	,	,	PUNCT
ejpam-6026	200	7	i(t	i(t	PROPN
ejpam-6026	200	8	)	)	PUNCT
ejpam-6026	200	9	,	,	PUNCT
ejpam-6026	200	10	p	p	X
ejpam-6026	200	11	(	(	PUNCT
ejpam-6026	200	12	t	t	PROPN
ejpam-6026	200	13	)	)	PUNCT
ejpam-6026	200	14	)	)	PUNCT
ejpam-6026	200	15	is	be	AUX
ejpam-6026	200	16	uniformly	uniformly	ADV
ejpam-6026	200	17	bounded	bound	VERB
ejpam-6026	200	18	for	for	ADP
ejpam-6026	200	19	initial	initial	ADJ
ejpam-6026	200	20	conditions	condition	NOUN
ejpam-6026	200	21	(	(	PUNCT
ejpam-6026	200	22	s0	s0	PROPN
ejpam-6026	200	23	,	,	PUNCT
ejpam-6026	200	24	i0	i0	PROPN
ejpam-6026	200	25	,	,	PUNCT
ejpam-6026	200	26	p0	p0	NOUN
ejpam-6026	200	27	)	)	PUNCT
ejpam-6026	200	28	∈	∈	PROPN
ejpam-6026	200	29	r3	r3	PROPN
ejpam-6026	200	30	+	+	PROPN
ejpam-6026	200	31	.	.	PUNCT
ejpam-6026	201	1	proof	proof	NOUN
ejpam-6026	201	2	.	.	PUNCT
ejpam-6026	202	1	as	as	ADP
ejpam-6026	202	2	in	in	ADP
ejpam-6026	202	3	theorem	theorem	NOUN
ejpam-6026	202	4	1	1	NUM
ejpam-6026	202	5	.	.	PUNCT
ejpam-6026	202	6	by	by	ADP
ejpam-6026	202	7	applying	apply	VERB
ejpam-6026	202	8	the	the	DET
ejpam-6026	202	9	same	same	ADJ
ejpam-6026	202	10	transformation	transformation	NOUN
ejpam-6026	202	11	as	as	ADP
ejpam-6026	202	12	in	in	ADP
ejpam-6026	202	13	the	the	DET
ejpam-6026	202	14	previous	previous	ADJ
ejpam-6026	202	15	model	model	NOUN
ejpam-6026	202	16	,	,	PUNCT
ejpam-6026	202	17	the	the	DET
ejpam-6026	202	18	system	system	NOUN
ejpam-6026	202	19	(	(	PUNCT
ejpam-6026	202	20	18	18	NUM
ejpam-6026	202	21	)	)	PUNCT
ejpam-6026	202	22	can	can	AUX
ejpam-6026	202	23	be	be	AUX
ejpam-6026	202	24	expressed	express	VERB
ejpam-6026	202	25	in	in	ADP
ejpam-6026	202	26	the	the	DET
ejpam-6026	202	27	following	follow	VERB
ejpam-6026	202	28	dimensionless	dimensionless	NOUN
ejpam-6026	202	29	form:	form:	NOUN
ejpam-6026	202	30	ds	ds	ADJ
ejpam-6026	202	31	dt	dt	NOUN
ejpam-6026	202	32	=	=	PUNCT
ejpam-6026	202	33	es(1−	es(1−	PROPN
ejpam-6026	202	34	(	(	PUNCT
ejpam-6026	202	35	s+	s+	X
ejpam-6026	202	36	i))−	i))−	X
ejpam-6026	202	37	si−	si−	NUM
ejpam-6026	202	38	n2sp	n2sp	NOUN
ejpam-6026	202	39	c1+c2s+s2	c1+c2s+s2	NOUN
ejpam-6026	202	40	,	,	PUNCT
ejpam-6026	202	41	di	di	INTJ
ejpam-6026	202	42	dt	dt	NOUN
ejpam-6026	202	43	=	=	SYM
ejpam-6026	202	44	si−	si−	PROPN
ejpam-6026	202	45	wip−	wip−	PROPN
ejpam-6026	202	46	d3i	d3i	PROPN
ejpam-6026	202	47	,	,	PUNCT
ejpam-6026	202	48	dp	dp	NOUN
ejpam-6026	202	49	dt	dt	NOUN
ejpam-6026	202	50	=	=	SYM
ejpam-6026	202	51	mn2sp	mn2sp	NOUN
ejpam-6026	202	52	c1+c2s+s2	c1+c2s+s2	NOUN
ejpam-6026	202	53	−mwpi−	−mwpi−	VERB
ejpam-6026	202	54	d4p	d4p	ADJ
ejpam-6026	202	55	,	,	PUNCT
ejpam-6026	202	56	(	(	PUNCT
ejpam-6026	202	57	19	19	NUM
ejpam-6026	202	58	)	)	PUNCT
ejpam-6026	203	1	where	where	SCONJ
ejpam-6026	203	2	:	:	PUNCT
ejpam-6026	203	3	n2	n2	NOUN
ejpam-6026	203	4	=	=	PUNCT
ejpam-6026	203	5	α	α	PROPN
ejpam-6026	203	6	λa2k2	λa2k2	X
ejpam-6026	203	7	,	,	PUNCT
ejpam-6026	203	8	c1	c1	NOUN
ejpam-6026	203	9	=	=	PROPN
ejpam-6026	203	10	1	1	NUM
ejpam-6026	203	11	a2k2	a2k2	NOUN
ejpam-6026	203	12	,	,	PUNCT
ejpam-6026	203	13	c2	c2	PROPN
ejpam-6026	203	14	=	=	PUNCT
ejpam-6026	203	15	a1	a1	PROPN
ejpam-6026	203	16	a2k	a2k	PROPN
ejpam-6026	203	17	,	,	PUNCT
ejpam-6026	203	18	e	e	X
ejpam-6026	203	19	=	=	PUNCT
ejpam-6026	203	20	r	r	NOUN
ejpam-6026	203	21	λk	λk	X
ejpam-6026	203	22	,	,	PUNCT
ejpam-6026	203	23	w	w	PROPN
ejpam-6026	203	24	=	=	SYM
ejpam-6026	203	25	γ	γ	X
ejpam-6026	203	26	k	k	PROPN
ejpam-6026	203	27	,	,	PUNCT
ejpam-6026	203	28	d3	d3	PROPN
ejpam-6026	203	29	=	=	SYM
ejpam-6026	203	30	d1	d1	PROPN
ejpam-6026	203	31	λk	λk	ADP
ejpam-6026	203	32	,	,	PUNCT
ejpam-6026	203	33	and	and	CCONJ
ejpam-6026	203	34	d4	d4	PROPN
ejpam-6026	203	35	=	=	PROPN
ejpam-6026	203	36	d2	d2	PROPN
ejpam-6026	203	37	λk	λk	X
ejpam-6026	203	38	.	.	PUNCT
ejpam-6026	204	1	3.1	3.1	NUM
ejpam-6026	204	2	.	.	PUNCT
ejpam-6026	205	1	equilibria	equilibrium	NOUN
ejpam-6026	205	2	the	the	DET
ejpam-6026	205	3	system	system	NOUN
ejpam-6026	205	4	(	(	PUNCT
ejpam-6026	205	5	19	19	NUM
ejpam-6026	205	6	)	)	PUNCT
ejpam-6026	205	7	exhibits	exhibit	VERB
ejpam-6026	205	8	the	the	DET
ejpam-6026	205	9	following	follow	VERB
ejpam-6026	205	10	equilibrium	equilibrium	NOUN
ejpam-6026	205	11	points	point	NOUN
ejpam-6026	205	12	:	:	PUNCT
ejpam-6026	206	1	•	•	NUM
ejpam-6026	206	2	e′	e′	X
ejpam-6026	206	3	0	0	PUNCT
ejpam-6026	207	1	=	=	SYM
ejpam-6026	207	2	(	(	PUNCT
ejpam-6026	207	3	0	0	NUM
ejpam-6026	207	4	,	,	PUNCT
ejpam-6026	207	5	0	0	NUM
ejpam-6026	207	6	,	,	PUNCT
ejpam-6026	207	7	0	0	NUM
ejpam-6026	207	8	)	)	PUNCT
ejpam-6026	207	9	,	,	PUNCT
ejpam-6026	207	10	e′	e′	X
ejpam-6026	207	11	1	1	NUM
ejpam-6026	207	12	=	=	SYM
ejpam-6026	207	13	(	(	PUNCT
ejpam-6026	207	14	1	1	NUM
ejpam-6026	207	15	,	,	PUNCT
ejpam-6026	207	16	0	0	NUM
ejpam-6026	207	17	,	,	PUNCT
ejpam-6026	207	18	0	0	NUM
ejpam-6026	207	19	)	)	PUNCT
ejpam-6026	207	20	always	always	ADV
ejpam-6026	207	21	exist	exist	VERB
ejpam-6026	207	22	.	.	PUNCT
ejpam-6026	208	1	•	•	NUM
ejpam-6026	208	2	e′	e′	PROPN
ejpam-6026	208	3	2	2	NUM
ejpam-6026	208	4	=	=	SYM
ejpam-6026	208	5	(	(	PUNCT
ejpam-6026	208	6	d3	d3	PROPN
ejpam-6026	208	7	,	,	PUNCT
ejpam-6026	208	8	e(1−d3	e(1−d3	PROPN
ejpam-6026	208	9	)	)	PUNCT
ejpam-6026	209	1	e+1	e+1	NUM
ejpam-6026	209	2	,	,	PUNCT
ejpam-6026	209	3	0	0	NUM
ejpam-6026	209	4	)	)	PUNCT
ejpam-6026	209	5	exists	exist	VERB
ejpam-6026	209	6	where	where	SCONJ
ejpam-6026	209	7	d3	d3	PROPN
ejpam-6026	209	8	<	<	X
ejpam-6026	209	9	1	1	NUM
ejpam-6026	209	10	.	.	PUNCT
ejpam-6026	209	11	k.	k.	PROPN
ejpam-6026	209	12	a.	a.	PROPN
ejpam-6026	209	13	hassan	hassan	PROPN
ejpam-6026	209	14	/	/	SYM
ejpam-6026	209	15	eur	eur	PROPN
ejpam-6026	209	16	.	.	PUNCT
ejpam-6026	210	1	j.	j.	PROPN
ejpam-6026	210	2	pure	pure	PROPN
ejpam-6026	210	3	appl	appl	PROPN
ejpam-6026	210	4	.	.	PROPN
ejpam-6026	210	5	math	math	PROPN
ejpam-6026	210	6	,	,	PUNCT
ejpam-6026	210	7	18	18	NUM
ejpam-6026	210	8	(	(	PUNCT
ejpam-6026	210	9	2	2	NUM
ejpam-6026	210	10	)	)	PUNCT
ejpam-6026	210	11	(	(	PUNCT
ejpam-6026	210	12	2025	2025	NUM
ejpam-6026	210	13	)	)	PUNCT
ejpam-6026	210	14	,	,	PUNCT
ejpam-6026	210	15	6026	6026	NUM
ejpam-6026	210	16	11	11	NUM
ejpam-6026	210	17	of	of	ADP
ejpam-6026	210	18	20	20	NUM
ejpam-6026	210	19	•	•	NUM
ejpam-6026	210	20	e±	e±	PROPN
ejpam-6026	210	21	3	3	NUM
ejpam-6026	210	22	=	=	SYM
ejpam-6026	210	23	(	(	PUNCT
ejpam-6026	210	24	s±3	s±3	NUM
ejpam-6026	210	25	,	,	PUNCT
ejpam-6026	210	26	0	0	NUM
ejpam-6026	210	27	,	,	PUNCT
ejpam-6026	210	28	p	p	PRON
ejpam-6026	210	29	±	±	NUM
ejpam-6026	210	30	3	3	NUM
ejpam-6026	210	31	)	)	PUNCT
ejpam-6026	210	32	exist	exist	VERB
ejpam-6026	210	33	where	where	SCONJ
ejpam-6026	210	34	s±3	s±3	NOUN
ejpam-6026	210	35	=	=	SYM
ejpam-6026	210	36	mn2	mn2	VERB
ejpam-6026	210	37	−	−	PROPN
ejpam-6026	210	38	c2d4	c2d4	PROPN
ejpam-6026	210	39	±	±	NUM
ejpam-6026	210	40	√	√	PROPN
ejpam-6026	210	41	b	b	PROPN
ejpam-6026	210	42	2d4	2d4	NUM
ejpam-6026	210	43	,	,	PUNCT
ejpam-6026	210	44	p±3	p±3	ADJ
ejpam-6026	210	45	=	=	PUNCT
ejpam-6026	210	46	em	em	PRON
ejpam-6026	210	47	d24	d24	VERB
ejpam-6026	210	48	[	[	X
ejpam-6026	210	49	(	(	PUNCT
ejpam-6026	210	50	1	1	NUM
ejpam-6026	210	51	+	+	CCONJ
ejpam-6026	210	52	c2)d4	c2)d4	PROPN
ejpam-6026	210	53	−mn2	−mn2	PROPN
ejpam-6026	210	54	]	]	X
ejpam-6026	210	55	s	s	X
ejpam-6026	210	56	±	±	NUM
ejpam-6026	210	57	3	3	NUM
ejpam-6026	210	58	+	+	CCONJ
ejpam-6026	210	59	c1d4	c1d4	ADJ
ejpam-6026	210	60	,	,	PUNCT
ejpam-6026	210	61	where	where	SCONJ
ejpam-6026	210	62	b	b	X
ejpam-6026	210	63	=	=	PUNCT
ejpam-6026	210	64	(	(	PUNCT
ejpam-6026	210	65	mn2	mn2	VERB
ejpam-6026	210	66	−	−	PRON
ejpam-6026	210	67	c2d4	c2d4	NOUN
ejpam-6026	210	68	)	)	PUNCT
ejpam-6026	210	69	2	2	NUM
ejpam-6026	210	70	−	−	NOUN
ejpam-6026	210	71	4d24c1	4d24c1	NOUN
ejpam-6026	210	72	,	,	PUNCT
ejpam-6026	210	73	under	under	ADP
ejpam-6026	210	74	the	the	DET
ejpam-6026	210	75	following	follow	VERB
ejpam-6026	210	76	condition	condition	NOUN
ejpam-6026	210	77	:	:	PUNCT
ejpam-6026	210	78	d4	d4	PROPN
ejpam-6026	210	79	m	m	PROPN
ejpam-6026	210	80	(	(	PUNCT
ejpam-6026	210	81	c2	c2	PROPN
ejpam-6026	210	82	+	+	CCONJ
ejpam-6026	210	83	2	2	NUM
ejpam-6026	210	84	√	√	NUM
ejpam-6026	210	85	c1	c1	NOUN
ejpam-6026	210	86	)	)	PUNCT
ejpam-6026	210	87	<	<	X
ejpam-6026	210	88	n2	n2	NOUN
ejpam-6026	210	89	<	<	X
ejpam-6026	210	90	d4	d4	PROPN
ejpam-6026	210	91	m	m	PROPN
ejpam-6026	210	92	(	(	PUNCT
ejpam-6026	210	93	1	1	NUM
ejpam-6026	210	94	+	+	NUM
ejpam-6026	210	95	c2	c2	PROPN
ejpam-6026	210	96	)	)	PUNCT
ejpam-6026	210	97	.	.	PUNCT
ejpam-6026	211	1	(	(	PUNCT
ejpam-6026	211	2	20	20	NUM
ejpam-6026	211	3	)	)	PUNCT
ejpam-6026	211	4	•	•	NOUN
ejpam-6026	211	5	the	the	DET
ejpam-6026	211	6	interior	interior	ADJ
ejpam-6026	211	7	equilibrium	equilibrium	NOUN
ejpam-6026	211	8	point	point	NOUN
ejpam-6026	211	9	e′	e′	NOUN
ejpam-6026	211	10	∗	∗	X
ejpam-6026	211	11	=	=	SYM
ejpam-6026	211	12	(	(	PUNCT
ejpam-6026	211	13	s̄	s̄	NOUN
ejpam-6026	211	14	,	,	PUNCT
ejpam-6026	211	15	ī	ī	NOUN
ejpam-6026	211	16	,	,	PUNCT
ejpam-6026	211	17	p̄	p̄	NOUN
ejpam-6026	211	18	)	)	PUNCT
ejpam-6026	211	19	exists	exist	VERB
ejpam-6026	211	20	if	if	SCONJ
ejpam-6026	211	21	and	and	CCONJ
ejpam-6026	211	22	only	only	ADV
ejpam-6026	211	23	if	if	SCONJ
ejpam-6026	211	24	there	there	PRON
ejpam-6026	211	25	exists	exist	VERB
ejpam-6026	211	26	a	a	DET
ejpam-6026	211	27	positive	positive	ADJ
ejpam-6026	211	28	solution	solution	NOUN
ejpam-6026	211	29	to	to	ADP
ejpam-6026	211	30	the	the	DET
ejpam-6026	211	31	system	system	NOUN
ejpam-6026	211	32	:	:	PUNCT
ejpam-6026	211	33	e(1−	e(1−	PROPN
ejpam-6026	211	34	(	(	PUNCT
ejpam-6026	211	35	s+	s+	PUNCT
ejpam-6026	211	36	i))−	i))−	ADV
ejpam-6026	211	37	i−	i−	ADV
ejpam-6026	211	38	n2p	n2p	ADV
ejpam-6026	211	39	g	g	PROPN
ejpam-6026	211	40	=	=	SYM
ejpam-6026	211	41	0	0	NUM
ejpam-6026	211	42	,	,	PUNCT
ejpam-6026	211	43	(	(	PUNCT
ejpam-6026	211	44	21	21	NUM
ejpam-6026	211	45	)	)	PUNCT
ejpam-6026	211	46	s−	s−	PROPN
ejpam-6026	211	47	wp−	wp−	NUM
ejpam-6026	211	48	d3	d3	PROPN
ejpam-6026	211	49	=	=	SYM
ejpam-6026	211	50	0	0	NUM
ejpam-6026	211	51	,	,	PUNCT
ejpam-6026	211	52	(	(	PUNCT
ejpam-6026	211	53	22	22	X
ejpam-6026	211	54	)	)	PUNCT
ejpam-6026	211	55	mn2s	mn2s	NOUN
ejpam-6026	211	56	g	g	NOUN
ejpam-6026	211	57	−mwi−	−mwi−	PROPN
ejpam-6026	211	58	d4	d4	PROPN
ejpam-6026	211	59	=	=	SYM
ejpam-6026	211	60	0	0	PROPN
ejpam-6026	211	61	,	,	PUNCT
ejpam-6026	211	62	(	(	PUNCT
ejpam-6026	211	63	23	23	NUM
ejpam-6026	211	64	)	)	PUNCT
ejpam-6026	211	65	where	where	SCONJ
ejpam-6026	211	66	g	g	PROPN
ejpam-6026	211	67	=	=	PROPN
ejpam-6026	211	68	c1	c1	PROPN
ejpam-6026	211	69	+	+	CCONJ
ejpam-6026	211	70	c2s+	c2s+	PROPN
ejpam-6026	211	71	s2	s2	PROPN
ejpam-6026	211	72	.	.	PUNCT
ejpam-6026	212	1	from	from	ADP
ejpam-6026	212	2	equation	equation	NOUN
ejpam-6026	212	3	(	(	PUNCT
ejpam-6026	212	4	21	21	NUM
ejpam-6026	212	5	)	)	PUNCT
ejpam-6026	212	6	,	,	PUNCT
ejpam-6026	212	7	we	we	PRON
ejpam-6026	212	8	have	have	VERB
ejpam-6026	212	9	s	s	PRON
ejpam-6026	212	10	+	+	X
ejpam-6026	212	11	i	i	X
ejpam-6026	212	12	≤	≤	ADJ
ejpam-6026	212	13	1	1	NUM
ejpam-6026	212	14	,	,	PUNCT
ejpam-6026	212	15	and	and	CCONJ
ejpam-6026	212	16	from	from	ADP
ejpam-6026	212	17	equation	equation	NOUN
ejpam-6026	212	18	(	(	PUNCT
ejpam-6026	212	19	22	22	NUM
ejpam-6026	212	20	)	)	PUNCT
ejpam-6026	212	21	,	,	PUNCT
ejpam-6026	212	22	we	we	PRON
ejpam-6026	212	23	have	have	VERB
ejpam-6026	212	24	p̄	p̄	NOUN
ejpam-6026	212	25	=	=	SYM
ejpam-6026	213	1	s̄−d3	s̄−d3	PROPN
ejpam-6026	213	2	w	w	PROPN
ejpam-6026	213	3	.	.	PUNCT
ejpam-6026	214	1	then	then	ADV
ejpam-6026	214	2	,	,	PUNCT
ejpam-6026	214	3	p	p	X
ejpam-6026	214	4	<	<	X
ejpam-6026	214	5	1	1	NUM
ejpam-6026	214	6	if	if	SCONJ
ejpam-6026	214	7	:	:	PUNCT
ejpam-6026	214	8	s̄	s̄	NOUN
ejpam-6026	214	9	>	>	X
ejpam-6026	214	10	d3	d3	PROPN
ejpam-6026	214	11	.	.	PUNCT
ejpam-6026	215	1	(	(	PUNCT
ejpam-6026	215	2	24	24	NUM
ejpam-6026	215	3	)	)	PUNCT
ejpam-6026	215	4	from	from	ADP
ejpam-6026	215	5	equations	equation	NOUN
ejpam-6026	215	6	(	(	PUNCT
ejpam-6026	215	7	21	21	NUM
ejpam-6026	215	8	)	)	PUNCT
ejpam-6026	215	9	and	and	CCONJ
ejpam-6026	215	10	(	(	PUNCT
ejpam-6026	215	11	23	23	NUM
ejpam-6026	215	12	)	)	PUNCT
ejpam-6026	215	13	,	,	PUNCT
ejpam-6026	215	14	we	we	PRON
ejpam-6026	215	15	obtain	obtain	VERB
ejpam-6026	215	16	:	:	PUNCT
ejpam-6026	215	17	emwg−	emwg−	PROPN
ejpam-6026	215	18	emwgs̄−	emwgs̄−	PROPN
ejpam-6026	215	19	(	(	PUNCT
ejpam-6026	215	20	e+	e+	VERB
ejpam-6026	215	21	1)(mn2s̄−	1)(mn2s̄−	NUM
ejpam-6026	215	22	d4g)−mwn2p̄	d4g)−mwn2p̄	NOUN
ejpam-6026	215	23	=	=	SYM
ejpam-6026	215	24	0	0	PROPN
ejpam-6026	215	25	,	,	PUNCT
ejpam-6026	215	26	(	(	PUNCT
ejpam-6026	215	27	25	25	NUM
ejpam-6026	215	28	)	)	PUNCT
ejpam-6026	215	29	mn2s̄−	mn2s̄−	PROPN
ejpam-6026	215	30	d4	d4	PROPN
ejpam-6026	215	31	g	g	PROPN
ejpam-6026	215	32	=	=	PROPN
ejpam-6026	215	33	mwgī.	mwgī.	PROPN
ejpam-6026	215	34	(	(	PUNCT
ejpam-6026	215	35	26	26	NUM
ejpam-6026	215	36	)	)	PUNCT
ejpam-6026	215	37	by	by	ADP
ejpam-6026	215	38	substituting	substitute	VERB
ejpam-6026	215	39	equation	equation	NOUN
ejpam-6026	215	40	(	(	PUNCT
ejpam-6026	215	41	26	26	NUM
ejpam-6026	215	42	)	)	PUNCT
ejpam-6026	215	43	into	into	ADP
ejpam-6026	215	44	(	(	PUNCT
ejpam-6026	215	45	25	25	NUM
ejpam-6026	215	46	)	)	PUNCT
ejpam-6026	215	47	,	,	PUNCT
ejpam-6026	215	48	we	we	PRON
ejpam-6026	215	49	obtain	obtain	VERB
ejpam-6026	215	50	the	the	DET
ejpam-6026	215	51	cubic	cubic	ADJ
ejpam-6026	215	52	polynomial	polynomial	NOUN
ejpam-6026	215	53	:	:	PUNCT
ejpam-6026	215	54	p	p	X
ejpam-6026	215	55	(	(	PUNCT
ejpam-6026	215	56	s̄	s̄	NOUN
ejpam-6026	215	57	)	)	PUNCT
ejpam-6026	215	58	=	=	VERB
ejpam-6026	215	59	a3s̄	a3s̄	X
ejpam-6026	215	60	3	3	NUM
ejpam-6026	215	61	−a2s̄	−a2s̄	NOUN
ejpam-6026	215	62	2	2	NUM
ejpam-6026	215	63	−a1s̄−a0	−a1s̄−a0	NOUN
ejpam-6026	215	64	,	,	PUNCT
ejpam-6026	215	65	where	where	SCONJ
ejpam-6026	215	66	:	:	PUNCT
ejpam-6026	215	67	a0	a0	PROPN
ejpam-6026	215	68	=	=	SYM
ejpam-6026	215	69	(	(	PUNCT
ejpam-6026	215	70	emw2	emw2	PROPN
ejpam-6026	215	71	+	+	CCONJ
ejpam-6026	215	72	(	(	PUNCT
ejpam-6026	215	73	e+	e+	NUM
ejpam-6026	215	74	1)wd4	1)wd4	NUM
ejpam-6026	215	75	)	)	PUNCT
ejpam-6026	215	76	c1	c1	PROPN
ejpam-6026	215	77	+	+	PROPN
ejpam-6026	215	78	mwn2d3	mwn2d3	NOUN
ejpam-6026	215	79	>	>	X
ejpam-6026	215	80	0	0	PROPN
ejpam-6026	215	81	,	,	PUNCT
ejpam-6026	215	82	a1	a1	NOUN
ejpam-6026	215	83	=	=	SYM
ejpam-6026	215	84	w(e+	w(e+	PROPN
ejpam-6026	215	85	1)(d4c2	1)(d4c2	NUM
ejpam-6026	215	86	−mn2	−mn2	PROPN
ejpam-6026	215	87	)	)	PUNCT
ejpam-6026	216	1	+	+	ADJ
ejpam-6026	216	2	mw(ewc2	mw(ewc2	ADJ
ejpam-6026	216	3	−	−	PROPN
ejpam-6026	216	4	ewc1	ewc1	NOUN
ejpam-6026	216	5	−	−	PROPN
ejpam-6026	216	6	n2	n2	NOUN
ejpam-6026	216	7	)	)	PUNCT
ejpam-6026	216	8	,	,	PUNCT
ejpam-6026	216	9	a2	a2	PROPN
ejpam-6026	216	10	=	=	PUNCT
ejpam-6026	216	11	emw2(1−	emw2(1−	PROPN
ejpam-6026	216	12	c2	c2	PROPN
ejpam-6026	216	13	)	)	PUNCT
ejpam-6026	217	1	+	+	CCONJ
ejpam-6026	217	2	(	(	PUNCT
ejpam-6026	217	3	e+	e+	VERB
ejpam-6026	217	4	1)wd4	1)wd4	NUM
ejpam-6026	217	5	,	,	PUNCT
ejpam-6026	217	6	a3	a3	NOUN
ejpam-6026	217	7	=	=	SYM
ejpam-6026	217	8	emw2	emw2	PROPN
ejpam-6026	217	9	.	.	PUNCT
ejpam-6026	218	1	clearly	clearly	ADV
ejpam-6026	218	2	,	,	PUNCT
ejpam-6026	218	3	p	p	X
ejpam-6026	218	4	(	(	PUNCT
ejpam-6026	218	5	0	0	NUM
ejpam-6026	218	6	)	)	PUNCT
ejpam-6026	218	7	=	=	SYM
ejpam-6026	218	8	−a0	−a0	PROPN
ejpam-6026	218	9	<	<	X
ejpam-6026	218	10	0	0	PUNCT
ejpam-6026	219	1	and	and	CCONJ
ejpam-6026	219	2	:	:	PUNCT
ejpam-6026	219	3	p	p	X
ejpam-6026	219	4	(	(	PUNCT
ejpam-6026	219	5	c1	c1	NOUN
ejpam-6026	219	6	)	)	PUNCT
ejpam-6026	219	7	=	=	PUNCT
ejpam-6026	219	8	c1w(e+1	c1w(e+1	NOUN
ejpam-6026	219	9	)	)	PUNCT
ejpam-6026	220	1	[	[	X
ejpam-6026	220	2	mn2	mn2	VERB
ejpam-6026	220	3	−	−	PUNCT
ejpam-6026	220	4	d4c2	d4c2	NOUN
ejpam-6026	220	5	−	−	NOUN
ejpam-6026	220	6	d4c1	d4c1	NOUN
ejpam-6026	220	7	−	−	PROPN
ejpam-6026	220	8	d4]+mw	d4]+mw	NOUN
ejpam-6026	220	9	[	[	PUNCT
ejpam-6026	220	10	ewc1(c	ewc1(c	NUM
ejpam-6026	220	11	2	2	NUM
ejpam-6026	220	12	1	1	NUM
ejpam-6026	220	13	+	+	CCONJ
ejpam-6026	220	14	c1c2	c1c2	SYM
ejpam-6026	220	15	−	−	PROPN
ejpam-6026	220	16	c2	c2	PROPN
ejpam-6026	220	17	−	−	PROPN
ejpam-6026	220	18	1)−	1)−	PROPN
ejpam-6026	220	19	n2(c1	n2(c1	NUM
ejpam-6026	220	20	−	−	PROPN
ejpam-6026	220	21	d3	d3	PROPN
ejpam-6026	220	22	)	)	PUNCT
ejpam-6026	220	23	]	]	PUNCT
ejpam-6026	220	24	.	.	PUNCT
ejpam-6026	221	1	hence	hence	ADV
ejpam-6026	221	2	,	,	PUNCT
ejpam-6026	221	3	p	p	X
ejpam-6026	221	4	(	(	PUNCT
ejpam-6026	221	5	c1	c1	PROPN
ejpam-6026	221	6	)	)	PUNCT
ejpam-6026	221	7	>	>	X
ejpam-6026	221	8	0	0	PUNCT
ejpam-6026	222	1	if	if	SCONJ
ejpam-6026	222	2	:	:	PUNCT
ejpam-6026	222	3	n2	n2	ADJ
ejpam-6026	222	4	>	>	X
ejpam-6026	222	5	max	max	PROPN
ejpam-6026	222	6	{	{	PUNCT
ejpam-6026	222	7	d4(c2	d4(c2	PROPN
ejpam-6026	222	8	+	+	PROPN
ejpam-6026	222	9	c1	c1	PROPN
ejpam-6026	222	10	+	+	CCONJ
ejpam-6026	222	11	1	1	X
ejpam-6026	222	12	)	)	PUNCT
ejpam-6026	222	13	m	m	VERB
ejpam-6026	222	14	,	,	PUNCT
ejpam-6026	222	15	ewc1(1	ewc1(1	PROPN
ejpam-6026	222	16	+	+	ADJ
ejpam-6026	222	17	c1	c1	PROPN
ejpam-6026	222	18	−	−	PROPN
ejpam-6026	222	19	c1c2	c1c2	NOUN
ejpam-6026	222	20	−	−	PROPN
ejpam-6026	222	21	c21	c21	NOUN
ejpam-6026	222	22	)	)	PUNCT
ejpam-6026	222	23	c1	c1	PROPN
ejpam-6026	222	24	−	−	PROPN
ejpam-6026	222	25	d3	d3	PROPN
ejpam-6026	222	26	}	}	PUNCT
ejpam-6026	222	27	.	.	PUNCT
ejpam-6026	223	1	(	(	PUNCT
ejpam-6026	223	2	27	27	NUM
ejpam-6026	223	3	)	)	PUNCT
ejpam-6026	223	4	since	since	SCONJ
ejpam-6026	223	5	p	p	X
ejpam-6026	223	6	(	(	PUNCT
ejpam-6026	223	7	s̄	s̄	NOUN
ejpam-6026	223	8	)	)	PUNCT
ejpam-6026	223	9	is	be	AUX
ejpam-6026	223	10	a	a	DET
ejpam-6026	223	11	continuous	continuous	ADJ
ejpam-6026	223	12	function	function	NOUN
ejpam-6026	223	13	on	on	ADP
ejpam-6026	223	14	[	[	X
ejpam-6026	223	15	0	0	NUM
ejpam-6026	223	16	,	,	PUNCT
ejpam-6026	223	17	c1	c1	NOUN
ejpam-6026	223	18	]	]	PUNCT
ejpam-6026	223	19	,	,	PUNCT
ejpam-6026	223	20	p	p	X
ejpam-6026	223	21	(	(	PUNCT
ejpam-6026	223	22	0	0	NUM
ejpam-6026	223	23	)	)	PUNCT
ejpam-6026	223	24	<	<	X
ejpam-6026	223	25	0	0	NUM
ejpam-6026	223	26	,	,	PUNCT
ejpam-6026	223	27	and	and	CCONJ
ejpam-6026	223	28	p	p	X
ejpam-6026	223	29	(	(	PUNCT
ejpam-6026	223	30	c1	c1	PROPN
ejpam-6026	223	31	)	)	PUNCT
ejpam-6026	223	32	>	>	X
ejpam-6026	223	33	0	0	NUM
ejpam-6026	223	34	,	,	PUNCT
ejpam-6026	223	35	by	by	ADP
ejpam-6026	223	36	the	the	DET
ejpam-6026	223	37	intermediate	intermediate	ADJ
ejpam-6026	223	38	value	value	NOUN
ejpam-6026	223	39	theorem	theorem	VERB
ejpam-6026	223	40	,	,	PUNCT
ejpam-6026	223	41	there	there	PRON
ejpam-6026	223	42	exists	exist	VERB
ejpam-6026	223	43	s̄	s̄	NOUN
ejpam-6026	223	44	,	,	PUNCT
ejpam-6026	223	45	0	0	NUM
ejpam-6026	223	46	<	<	NOUN
ejpam-6026	223	47	s̄	s̄	NOUN
ejpam-6026	223	48	<	<	X
ejpam-6026	223	49	c1	c1	PROPN
ejpam-6026	223	50	,	,	PUNCT
ejpam-6026	224	1	such	such	ADJ
ejpam-6026	224	2	that	that	SCONJ
ejpam-6026	224	3	p	p	NOUN
ejpam-6026	224	4	(	(	PUNCT
ejpam-6026	224	5	s̄	s̄	NOUN
ejpam-6026	224	6	)	)	PUNCT
ejpam-6026	224	7	=	=	SYM
ejpam-6026	224	8	0	0	X
ejpam-6026	224	9	.	.	PUNCT
ejpam-6026	225	1	thus	thus	ADV
ejpam-6026	225	2	,	,	PUNCT
ejpam-6026	225	3	e∗	e∗	PROPN
ejpam-6026	225	4	=	=	SYM
ejpam-6026	225	5	(	(	PUNCT
ejpam-6026	225	6	s̄	s̄	NOUN
ejpam-6026	225	7	,	,	PUNCT
ejpam-6026	225	8	ī	ī	NOUN
ejpam-6026	225	9	,	,	PUNCT
ejpam-6026	225	10	p̄	p̄	NOUN
ejpam-6026	225	11	)	)	PUNCT
ejpam-6026	225	12	exists	exist	VERB
ejpam-6026	225	13	if	if	SCONJ
ejpam-6026	225	14	conditions	condition	NOUN
ejpam-6026	225	15	(	(	PUNCT
ejpam-6026	225	16	24	24	NUM
ejpam-6026	225	17	)	)	PUNCT
ejpam-6026	225	18	and	and	CCONJ
ejpam-6026	225	19	(	(	PUNCT
ejpam-6026	225	20	27	27	NUM
ejpam-6026	225	21	)	)	PUNCT
ejpam-6026	225	22	hold	hold	NOUN
ejpam-6026	225	23	.	.	PUNCT
ejpam-6026	226	1	k.	k.	PROPN
ejpam-6026	226	2	a.	a.	PROPN
ejpam-6026	226	3	hassan	hassan	PROPN
ejpam-6026	226	4	/	/	SYM
ejpam-6026	226	5	eur	eur	PROPN
ejpam-6026	226	6	.	.	PUNCT
ejpam-6026	227	1	j.	j.	PROPN
ejpam-6026	227	2	pure	pure	PROPN
ejpam-6026	227	3	appl	appl	PROPN
ejpam-6026	227	4	.	.	PROPN
ejpam-6026	227	5	math	math	PROPN
ejpam-6026	227	6	,	,	PUNCT
ejpam-6026	227	7	18	18	NUM
ejpam-6026	227	8	(	(	PUNCT
ejpam-6026	227	9	2	2	NUM
ejpam-6026	227	10	)	)	PUNCT
ejpam-6026	227	11	(	(	PUNCT
ejpam-6026	227	12	2025	2025	NUM
ejpam-6026	227	13	)	)	PUNCT
ejpam-6026	227	14	,	,	PUNCT
ejpam-6026	227	15	6026	6026	NUM
ejpam-6026	227	16	12	12	NUM
ejpam-6026	227	17	of	of	ADP
ejpam-6026	227	18	20	20	NUM
ejpam-6026	227	19	3.2	3.2	NUM
ejpam-6026	227	20	.	.	PUNCT
ejpam-6026	228	1	stability	stability	NOUN
ejpam-6026	228	2	analysis	analysis	NOUN
ejpam-6026	228	3	the	the	DET
ejpam-6026	228	4	variational	variational	ADJ
ejpam-6026	228	5	matrix	matrix	NOUN
ejpam-6026	228	6	of	of	ADP
ejpam-6026	228	7	the	the	DET
ejpam-6026	228	8	system	system	NOUN
ejpam-6026	228	9	(	(	PUNCT
ejpam-6026	228	10	19	19	NUM
ejpam-6026	228	11	)	)	PUNCT
ejpam-6026	228	12	is	be	AUX
ejpam-6026	228	13	j	j	NOUN
ejpam-6026	228	14	′	′	NUM
ejpam-6026	228	15	=	=	PUNCT
ejpam-6026	229	1	[	[	X
ejpam-6026	229	2	u′ij	u′ij	X
ejpam-6026	229	3	]	]	X
ejpam-6026	229	4	3×3	3×3	NUM
ejpam-6026	229	5	,	,	PUNCT
ejpam-6026	229	6	where	where	SCONJ
ejpam-6026	229	7	:	:	PUNCT
ejpam-6026	229	8	u′11	u′11	PROPN
ejpam-6026	229	9	=	=	SYM
ejpam-6026	229	10	s	s	X
ejpam-6026	229	11	[	[	PUNCT
ejpam-6026	229	12	n2p(c2	n2p(c2	PROPN
ejpam-6026	229	13	+	+	CCONJ
ejpam-6026	229	14	2s	2s	X
ejpam-6026	229	15	)	)	PUNCT
ejpam-6026	229	16	g2	g2	PROPN
ejpam-6026	229	17	−	−	PROPN
ejpam-6026	230	1	e	e	X
ejpam-6026	230	2	]	]	X
ejpam-6026	231	1	+	+	CCONJ
ejpam-6026	231	2	e(1−	e(1−	ADJ
ejpam-6026	231	3	(	(	PUNCT
ejpam-6026	231	4	s+	s+	PUNCT
ejpam-6026	231	5	i))−	i))−	ADV
ejpam-6026	231	6	i−	i−	ADV
ejpam-6026	231	7	n2p	n2p	ADV
ejpam-6026	231	8	g	g	NOUN
ejpam-6026	231	9	,	,	PUNCT
ejpam-6026	231	10	u′12	u′12	ADP
ejpam-6026	231	11	=	=	SYM
ejpam-6026	231	12	−s(e+	−s(e+	PROPN
ejpam-6026	231	13	1	1	NUM
ejpam-6026	231	14	)	)	PUNCT
ejpam-6026	231	15	<	<	X
ejpam-6026	231	16	0	0	NUM
ejpam-6026	231	17	,	,	PUNCT
ejpam-6026	231	18	u′13	u′13	X
ejpam-6026	231	19	=	=	SYM
ejpam-6026	231	20	−n2s	−n2s	PROPN
ejpam-6026	231	21	g	g	NOUN
ejpam-6026	231	22	<	<	X
ejpam-6026	231	23	0	0	NUM
ejpam-6026	231	24	,	,	PUNCT
ejpam-6026	231	25	u′21	u′21	NOUN
ejpam-6026	231	26	=	=	NOUN
ejpam-6026	231	27	i	i	X
ejpam-6026	231	28	>	>	X
ejpam-6026	231	29	0	0	NUM
ejpam-6026	231	30	,	,	PUNCT
ejpam-6026	231	31	u′22	u′22	ADJ
ejpam-6026	231	32	=	=	SYM
ejpam-6026	231	33	s−	s−	PROPN
ejpam-6026	231	34	wp−	wp−	NUM
ejpam-6026	231	35	d3	d3	PROPN
ejpam-6026	231	36	,	,	PUNCT
ejpam-6026	231	37	u′23	u′23	ADV
ejpam-6026	231	38	=	=	PROPN
ejpam-6026	231	39	−wi	−wi	X
ejpam-6026	231	40	<	<	X
ejpam-6026	231	41	0	0	NUM
ejpam-6026	231	42	,	,	PUNCT
ejpam-6026	231	43	u′31	u′31	PRON
ejpam-6026	231	44	=	=	SYM
ejpam-6026	231	45	mn2p(c1	mn2p(c1	PROPN
ejpam-6026	231	46	−	−	PROPN
ejpam-6026	231	47	s2	s2	PROPN
ejpam-6026	231	48	)	)	PUNCT
ejpam-6026	231	49	g2	g2	PROPN
ejpam-6026	231	50	,	,	PUNCT
ejpam-6026	231	51	u′32	u′32	PROPN
ejpam-6026	231	52	=	=	X
ejpam-6026	231	53	−mwp	−mwp	X
ejpam-6026	231	54	<	<	X
ejpam-6026	231	55	0	0	NUM
ejpam-6026	231	56	,	,	PUNCT
ejpam-6026	231	57	u′33	u′33	NOUN
ejpam-6026	232	1	=	=	PUNCT
ejpam-6026	232	2	mn2s	mn2s	NOUN
ejpam-6026	232	3	g	g	NOUN
ejpam-6026	232	4	−mwi−	−mwi−	PROPN
ejpam-6026	232	5	d4	d4	PROPN
ejpam-6026	232	6	.	.	PUNCT
ejpam-6026	233	1	theorem	theorem	VERB
ejpam-6026	233	2	8	8	NUM
ejpam-6026	233	3	.	.	PUNCT
ejpam-6026	234	1	the	the	DET
ejpam-6026	234	2	system	system	NOUN
ejpam-6026	234	3	(	(	PUNCT
ejpam-6026	234	4	19	19	NUM
ejpam-6026	234	5	)	)	PUNCT
ejpam-6026	234	6	is	be	AUX
ejpam-6026	234	7	unstable	unstable	ADJ
ejpam-6026	234	8	around	around	ADP
ejpam-6026	234	9	e′	e′	PROPN
ejpam-6026	234	10	0	0	PUNCT
ejpam-6026	235	1	=	=	SYM
ejpam-6026	235	2	(	(	PUNCT
ejpam-6026	235	3	0	0	NUM
ejpam-6026	235	4	,	,	PUNCT
ejpam-6026	235	5	0	0	NUM
ejpam-6026	235	6	,	,	PUNCT
ejpam-6026	235	7	0	0	NUM
ejpam-6026	235	8	)	)	PUNCT
ejpam-6026	235	9	for	for	ADP
ejpam-6026	235	10	all	all	DET
ejpam-6026	235	11	parameter	parameter	NOUN
ejpam-6026	235	12	values	value	NOUN
ejpam-6026	235	13	.	.	PUNCT
ejpam-6026	236	1	proof	proof	NOUN
ejpam-6026	236	2	.	.	PUNCT
ejpam-6026	237	1	the	the	DET
ejpam-6026	237	2	eigenvalues	eigenvalue	NOUN
ejpam-6026	237	3	of	of	ADP
ejpam-6026	237	4	e′	e′	PROPN
ejpam-6026	237	5	0	0	NUM
ejpam-6026	237	6	are	be	AUX
ejpam-6026	237	7	λ1	λ1	ADJ
ejpam-6026	237	8	=	=	SYM
ejpam-6026	237	9	e	e	X
ejpam-6026	237	10	>	>	X
ejpam-6026	237	11	0	0	PROPN
ejpam-6026	237	12	,	,	PUNCT
ejpam-6026	237	13	λ2	λ2	NOUN
ejpam-6026	237	14	=	=	SYM
ejpam-6026	237	15	−d3	−d3	PROPN
ejpam-6026	237	16	<	<	X
ejpam-6026	237	17	0	0	NUM
ejpam-6026	237	18	,	,	PUNCT
ejpam-6026	237	19	and	and	CCONJ
ejpam-6026	237	20	λ3	λ3	PROPN
ejpam-6026	237	21	=	=	PROPN
ejpam-6026	237	22	−d4	−d4	PROPN
ejpam-6026	237	23	<	<	X
ejpam-6026	237	24	0	0	NUM
ejpam-6026	237	25	.	.	PUNCT
ejpam-6026	238	1	thus	thus	ADV
ejpam-6026	238	2	,	,	PUNCT
ejpam-6026	238	3	e′	e′	X
ejpam-6026	238	4	0	0	NUM
ejpam-6026	238	5	is	be	AUX
ejpam-6026	238	6	unstable	unstable	ADJ
ejpam-6026	238	7	.	.	PUNCT
ejpam-6026	239	1	theorem	theorem	NOUN
ejpam-6026	239	2	9	9	NUM
ejpam-6026	239	3	.	.	PUNCT
ejpam-6026	240	1	the	the	DET
ejpam-6026	240	2	system	system	NOUN
ejpam-6026	240	3	(	(	PUNCT
ejpam-6026	240	4	19	19	NUM
ejpam-6026	240	5	)	)	PUNCT
ejpam-6026	240	6	is	be	AUX
ejpam-6026	240	7	locally	locally	ADV
ejpam-6026	240	8	asymptotically	asymptotically	ADV
ejpam-6026	240	9	stable	stable	ADJ
ejpam-6026	240	10	around	around	ADP
ejpam-6026	240	11	e′	e′	PROPN
ejpam-6026	240	12	1	1	NUM
ejpam-6026	240	13	=	=	SYM
ejpam-6026	240	14	(	(	PUNCT
ejpam-6026	240	15	1	1	NUM
ejpam-6026	240	16	,	,	PUNCT
ejpam-6026	240	17	0	0	NUM
ejpam-6026	240	18	,	,	PUNCT
ejpam-6026	240	19	0	0	NUM
ejpam-6026	240	20	)	)	PUNCT
ejpam-6026	240	21	,	,	PUNCT
ejpam-6026	240	22	if	if	SCONJ
ejpam-6026	240	23	d3	d3	PROPN
ejpam-6026	240	24	>	>	X
ejpam-6026	240	25	1	1	NUM
ejpam-6026	240	26	and	and	CCONJ
ejpam-6026	240	27	n2	n2	ADJ
ejpam-6026	240	28	<	<	X
ejpam-6026	240	29	d4	d4	PROPN
ejpam-6026	240	30	m	m	PROPN
ejpam-6026	240	31	(	(	PUNCT
ejpam-6026	240	32	1	1	NUM
ejpam-6026	240	33	+	+	CCONJ
ejpam-6026	240	34	c1	c1	PROPN
ejpam-6026	240	35	+	+	CCONJ
ejpam-6026	240	36	c2	c2	PROPN
ejpam-6026	240	37	)	)	PUNCT
ejpam-6026	240	38	.	.	PUNCT
ejpam-6026	241	1	proof	proof	NOUN
ejpam-6026	241	2	.	.	PUNCT
ejpam-6026	242	1	the	the	DET
ejpam-6026	242	2	eigenvalues	eigenvalue	NOUN
ejpam-6026	242	3	of	of	ADP
ejpam-6026	242	4	e′	e′	PROPN
ejpam-6026	242	5	1	1	NUM
ejpam-6026	242	6	are	be	AUX
ejpam-6026	242	7	λ1	λ1	ADJ
ejpam-6026	242	8	=	=	PUNCT
ejpam-6026	242	9	−e	−e	NOUN
ejpam-6026	242	10	<	<	X
ejpam-6026	242	11	0	0	NUM
ejpam-6026	242	12	,	,	PUNCT
ejpam-6026	242	13	λ2	λ2	NOUN
ejpam-6026	242	14	=	=	SYM
ejpam-6026	242	15	1	1	NUM
ejpam-6026	242	16	−	−	PROPN
ejpam-6026	242	17	d3	d3	PROPN
ejpam-6026	242	18	,	,	PUNCT
ejpam-6026	242	19	and	and	CCONJ
ejpam-6026	242	20	λ3	λ3	PROPN
ejpam-6026	242	21	=	=	PROPN
ejpam-6026	242	22	mn2	mn2	VERB
ejpam-6026	242	23	1+c1+c2	1+c1+c2	NUM
ejpam-6026	242	24	−	−	PROPN
ejpam-6026	242	25	d4	d4	PROPN
ejpam-6026	242	26	.	.	PUNCT
ejpam-6026	243	1	thus	thus	ADV
ejpam-6026	243	2	,	,	PUNCT
ejpam-6026	243	3	e′	e′	X
ejpam-6026	243	4	1	1	NUM
ejpam-6026	243	5	is	be	AUX
ejpam-6026	243	6	stable	stable	ADJ
ejpam-6026	243	7	if	if	SCONJ
ejpam-6026	243	8	d3	d3	PROPN
ejpam-6026	243	9	>	>	X
ejpam-6026	243	10	1	1	NUM
ejpam-6026	243	11	and	and	CCONJ
ejpam-6026	243	12	n2	n2	ADJ
ejpam-6026	243	13	<	<	X
ejpam-6026	243	14	d4	d4	PROPN
ejpam-6026	243	15	m	m	PROPN
ejpam-6026	243	16	(	(	PUNCT
ejpam-6026	243	17	1	1	NUM
ejpam-6026	243	18	+	+	CCONJ
ejpam-6026	243	19	c1	c1	PROPN
ejpam-6026	243	20	+	+	CCONJ
ejpam-6026	243	21	c2	c2	PROPN
ejpam-6026	243	22	)	)	PUNCT
ejpam-6026	243	23	.	.	PUNCT
ejpam-6026	244	1	theorem	theorem	ADJ
ejpam-6026	244	2	10	10	NUM
ejpam-6026	244	3	.	.	PUNCT
ejpam-6026	245	1	the	the	DET
ejpam-6026	245	2	system	system	NOUN
ejpam-6026	245	3	(	(	PUNCT
ejpam-6026	245	4	19	19	NUM
ejpam-6026	245	5	)	)	PUNCT
ejpam-6026	245	6	is	be	AUX
ejpam-6026	245	7	locally	locally	ADV
ejpam-6026	245	8	asymptotically	asymptotically	ADV
ejpam-6026	245	9	stable	stable	ADJ
ejpam-6026	245	10	around	around	ADP
ejpam-6026	245	11	e′	e′	PROPN
ejpam-6026	245	12	2	2	NUM
ejpam-6026	245	13	=	=	SYM
ejpam-6026	245	14	(	(	PUNCT
ejpam-6026	245	15	d3	d3	PROPN
ejpam-6026	245	16	,	,	PUNCT
ejpam-6026	245	17	e(1−d3	e(1−d3	PROPN
ejpam-6026	245	18	)	)	PUNCT
ejpam-6026	245	19	e+1	e+1	NUM
ejpam-6026	245	20	,	,	PUNCT
ejpam-6026	245	21	0	0	NUM
ejpam-6026	245	22	)	)	PUNCT
ejpam-6026	245	23	,	,	PUNCT
ejpam-6026	245	24	if	if	SCONJ
ejpam-6026	245	25	and	and	CCONJ
ejpam-6026	245	26	only	only	ADV
ejpam-6026	245	27	if	if	SCONJ
ejpam-6026	245	28	:	:	PUNCT
ejpam-6026	245	29	n2	n2	ADJ
ejpam-6026	245	30	<	<	X
ejpam-6026	245	31	d4	d4	PROPN
ejpam-6026	245	32	md3	md3	PROPN
ejpam-6026	245	33	(	(	PUNCT
ejpam-6026	245	34	c1	c1	PROPN
ejpam-6026	245	35	+	+	CCONJ
ejpam-6026	245	36	c2d3	c2d3	PROPN
ejpam-6026	245	37	+	+	CCONJ
ejpam-6026	245	38	d23	d23	NOUN
ejpam-6026	245	39	)	)	PUNCT
ejpam-6026	245	40	.	.	PUNCT
ejpam-6026	246	1	proof	proof	NOUN
ejpam-6026	246	2	.	.	PUNCT
ejpam-6026	247	1	from	from	ADP
ejpam-6026	247	2	the	the	DET
ejpam-6026	247	3	variational	variational	ADJ
ejpam-6026	247	4	matrix	matrix	NOUN
ejpam-6026	247	5	at	at	ADP
ejpam-6026	247	6	e′	e′	PROPN
ejpam-6026	247	7	2	2	NUM
ejpam-6026	247	8	,	,	PUNCT
ejpam-6026	247	9	we	we	PRON
ejpam-6026	247	10	have	have	VERB
ejpam-6026	247	11	the	the	DET
ejpam-6026	247	12	eigenvalue	eigenvalue	NOUN
ejpam-6026	247	13	:	:	PUNCT
ejpam-6026	247	14	λ3	λ3	PROPN
ejpam-6026	247	15	=	=	SYM
ejpam-6026	247	16	mn2d3	mn2d3	PROPN
ejpam-6026	247	17	c1	c1	PROPN
ejpam-6026	247	18	+	+	CCONJ
ejpam-6026	247	19	c2d3	c2d3	PROPN
ejpam-6026	247	20	+	+	X
ejpam-6026	247	21	d23	d23	PROPN
ejpam-6026	247	22	−	−	PROPN
ejpam-6026	247	23	emw(1−	emw(1−	PROPN
ejpam-6026	247	24	d3	d3	PROPN
ejpam-6026	247	25	)	)	PUNCT
ejpam-6026	247	26	e+	e+	VERB
ejpam-6026	247	27	1	1	NUM
ejpam-6026	247	28	−	−	PROPN
ejpam-6026	247	29	d4	d4	PROPN
ejpam-6026	247	30	,	,	PUNCT
ejpam-6026	247	31	which	which	PRON
ejpam-6026	247	32	is	be	AUX
ejpam-6026	247	33	negative	negative	ADJ
ejpam-6026	247	34	if	if	SCONJ
ejpam-6026	247	35	:	:	PUNCT
ejpam-6026	247	36	n2	n2	ADJ
ejpam-6026	247	37	<	<	X
ejpam-6026	247	38	d4	d4	PROPN
ejpam-6026	247	39	md3	md3	PROPN
ejpam-6026	247	40	(	(	PUNCT
ejpam-6026	247	41	c1	c1	PROPN
ejpam-6026	247	42	+	+	CCONJ
ejpam-6026	247	43	c2d3	c2d3	PROPN
ejpam-6026	247	44	+	+	CCONJ
ejpam-6026	247	45	d23	d23	NOUN
ejpam-6026	247	46	)	)	PUNCT
ejpam-6026	247	47	.	.	PUNCT
ejpam-6026	248	1	the	the	DET
ejpam-6026	248	2	other	other	ADJ
ejpam-6026	248	3	eigenvalues	eigenvalue	VERB
ejpam-6026	248	4	λ1	λ1	ADJ
ejpam-6026	248	5	and	and	CCONJ
ejpam-6026	248	6	λ2	λ2	NOUN
ejpam-6026	248	7	are	be	AUX
ejpam-6026	248	8	the	the	DET
ejpam-6026	248	9	roots	root	NOUN
ejpam-6026	248	10	of	of	ADP
ejpam-6026	248	11	:	:	PUNCT
ejpam-6026	248	12	λ2	λ2	NOUN
ejpam-6026	248	13	+	+	CCONJ
ejpam-6026	248	14	ed3λ+	ed3λ+	NUM
ejpam-6026	248	15	ed3(1−	ed3(1−	PRON
ejpam-6026	248	16	d3	d3	PROPN
ejpam-6026	248	17	)	)	PUNCT
ejpam-6026	248	18	=	=	SYM
ejpam-6026	248	19	0	0	NUM
ejpam-6026	248	20	,	,	PUNCT
ejpam-6026	248	21	with	with	ADP
ejpam-6026	248	22	λ1	λ1	ADJ
ejpam-6026	248	23	+	+	CCONJ
ejpam-6026	248	24	λ2	λ2	NOUN
ejpam-6026	248	25	=	=	SYM
ejpam-6026	248	26	−ed3	−ed3	X
ejpam-6026	248	27	<	<	X
ejpam-6026	248	28	0	0	PUNCT
ejpam-6026	249	1	and	and	CCONJ
ejpam-6026	249	2	λ1λ2	λ1λ2	PUNCT
ejpam-6026	249	3	=	=	SYM
ejpam-6026	249	4	ed3(1	ed3(1	ADV
ejpam-6026	249	5	−	−	PROPN
ejpam-6026	249	6	d3	d3	PROPN
ejpam-6026	249	7	)	)	PUNCT
ejpam-6026	249	8	>	>	X
ejpam-6026	250	1	0	0	X
ejpam-6026	250	2	.	.	PUNCT
ejpam-6026	251	1	hence	hence	ADV
ejpam-6026	251	2	,	,	PUNCT
ejpam-6026	251	3	λ1	λ1	PROPN
ejpam-6026	251	4	and	and	CCONJ
ejpam-6026	251	5	λ2	λ2	NOUN
ejpam-6026	251	6	are	be	AUX
ejpam-6026	251	7	either	either	CCONJ
ejpam-6026	251	8	negative	negative	ADJ
ejpam-6026	251	9	real	real	ADJ
ejpam-6026	251	10	numbers	number	NOUN
ejpam-6026	251	11	or	or	CCONJ
ejpam-6026	251	12	complex	complex	ADJ
ejpam-6026	251	13	conjugates	conjugate	NOUN
ejpam-6026	251	14	with	with	ADP
ejpam-6026	251	15	negative	negative	ADJ
ejpam-6026	251	16	real	real	ADJ
ejpam-6026	251	17	parts	part	NOUN
ejpam-6026	251	18	.	.	PUNCT
ejpam-6026	252	1	by	by	ADP
ejpam-6026	252	2	the	the	DET
ejpam-6026	252	3	routhhurwitz	routhhurwitz	PROPN
ejpam-6026	252	4	criterion	criterion	NOUN
ejpam-6026	252	5	,	,	PUNCT
ejpam-6026	252	6	e′	e′	X
ejpam-6026	252	7	2	2	NUM
ejpam-6026	252	8	is	be	AUX
ejpam-6026	252	9	locally	locally	ADV
ejpam-6026	252	10	asymptotically	asymptotically	ADV
ejpam-6026	252	11	stable	stable	ADJ
ejpam-6026	252	12	.	.	PUNCT
ejpam-6026	253	1	k.	k.	PROPN
ejpam-6026	253	2	a.	a.	PROPN
ejpam-6026	253	3	hassan	hassan	PROPN
ejpam-6026	253	4	/	/	SYM
ejpam-6026	253	5	eur	eur	PROPN
ejpam-6026	253	6	.	.	PUNCT
ejpam-6026	254	1	j.	j.	PROPN
ejpam-6026	254	2	pure	pure	PROPN
ejpam-6026	254	3	appl	appl	PROPN
ejpam-6026	254	4	.	.	PROPN
ejpam-6026	254	5	math	math	PROPN
ejpam-6026	254	6	,	,	PUNCT
ejpam-6026	254	7	18	18	NUM
ejpam-6026	254	8	(	(	PUNCT
ejpam-6026	254	9	2	2	NUM
ejpam-6026	254	10	)	)	PUNCT
ejpam-6026	254	11	(	(	PUNCT
ejpam-6026	254	12	2025	2025	NUM
ejpam-6026	254	13	)	)	PUNCT
ejpam-6026	254	14	,	,	PUNCT
ejpam-6026	254	15	6026	6026	NUM
ejpam-6026	254	16	13	13	NUM
ejpam-6026	254	17	of	of	ADP
ejpam-6026	254	18	20	20	NUM
ejpam-6026	254	19	theorem	theorem	VERB
ejpam-6026	254	20	11	11	NUM
ejpam-6026	254	21	.	.	PUNCT
ejpam-6026	255	1	the	the	DET
ejpam-6026	255	2	system	system	NOUN
ejpam-6026	255	3	(	(	PUNCT
ejpam-6026	255	4	19	19	NUM
ejpam-6026	255	5	)	)	PUNCT
ejpam-6026	255	6	is	be	AUX
ejpam-6026	255	7	locally	locally	ADV
ejpam-6026	255	8	asymptotically	asymptotically	ADV
ejpam-6026	255	9	stable	stable	ADJ
ejpam-6026	255	10	around	around	ADP
ejpam-6026	255	11	e−	e−	PROPN
ejpam-6026	255	12	3	3	NUM
ejpam-6026	255	13	=	=	SYM
ejpam-6026	255	14	(	(	PUNCT
ejpam-6026	255	15	s−3	s−3	PROPN
ejpam-6026	255	16	,	,	PUNCT
ejpam-6026	255	17	0	0	NUM
ejpam-6026	255	18	,	,	PUNCT
ejpam-6026	255	19	p	p	NOUN
ejpam-6026	255	20	−	−	PROPN
ejpam-6026	255	21	3	3	NUM
ejpam-6026	255	22	)	)	PUNCT
ejpam-6026	255	23	,	,	PUNCT
ejpam-6026	255	24	if	if	SCONJ
ejpam-6026	255	25	one	one	NUM
ejpam-6026	255	26	of	of	ADP
ejpam-6026	255	27	the	the	DET
ejpam-6026	255	28	following	follow	VERB
ejpam-6026	255	29	holds	hold	NOUN
ejpam-6026	255	30	:	:	PUNCT
ejpam-6026	255	31	d3	d3	PROPN
ejpam-6026	255	32	≥	≥	NOUN
ejpam-6026	255	33	1	1	NUM
ejpam-6026	255	34	,	,	PUNCT
ejpam-6026	255	35	s−3	s−3	VERB
ejpam-6026	255	36	<	<	X
ejpam-6026	255	37	√	√	PROPN
ejpam-6026	255	38	c1	c1	NOUN
ejpam-6026	255	39	,	,	PUNCT
ejpam-6026	255	40	and	and	CCONJ
ejpam-6026	255	41	n2	n2	ADJ
ejpam-6026	255	42	<	<	X
ejpam-6026	255	43	ep−3	ep−3	PROPN
ejpam-6026	255	44	(	(	PUNCT
ejpam-6026	255	45	c2	c2	PROPN
ejpam-6026	255	46	+	+	CCONJ
ejpam-6026	255	47	2s−3	2s−3	NUM
ejpam-6026	255	48	)	)	PUNCT
ejpam-6026	256	1	g2	g2	PROPN
ejpam-6026	256	2	3	3	NUM
ejpam-6026	256	3	,	,	PUNCT
ejpam-6026	256	4	d3	d3	VERB
ejpam-6026	256	5	<	<	X
ejpam-6026	256	6	1	1	NUM
ejpam-6026	256	7	,	,	PUNCT
ejpam-6026	256	8	s−3	s−3	PROPN
ejpam-6026	256	9	<	<	X
ejpam-6026	256	10	min	min	PROPN
ejpam-6026	256	11	{	{	PUNCT
ejpam-6026	256	12	√	√	PROPN
ejpam-6026	256	13	c1	c1	PROPN
ejpam-6026	256	14	,	,	PUNCT
ejpam-6026	256	15	wp	wp	PROPN
ejpam-6026	256	16	−	−	PROPN
ejpam-6026	256	17	3	3	NUM
ejpam-6026	256	18	+	+	NUM
ejpam-6026	256	19	d3	d3	PROPN
ejpam-6026	256	20	}	}	PUNCT
ejpam-6026	256	21	,	,	PUNCT
ejpam-6026	256	22	and	and	CCONJ
ejpam-6026	256	23	n2	n2	ADJ
ejpam-6026	256	24	<	<	X
ejpam-6026	256	25	ep−3	ep−3	PROPN
ejpam-6026	256	26	(	(	PUNCT
ejpam-6026	256	27	c2	c2	PROPN
ejpam-6026	256	28	+	+	CCONJ
ejpam-6026	256	29	2s−3	2s−3	NUM
ejpam-6026	256	30	)	)	PUNCT
ejpam-6026	256	31	g2	g2	PROPN
ejpam-6026	256	32	3	3	NUM
ejpam-6026	256	33	.	.	PUNCT
ejpam-6026	257	1	proof	proof	NOUN
ejpam-6026	257	2	.	.	PUNCT
ejpam-6026	258	1	the	the	DET
ejpam-6026	258	2	variational	variational	ADJ
ejpam-6026	258	3	matrix	matrix	NOUN
ejpam-6026	258	4	around	around	ADP
ejpam-6026	258	5	e−	e−	PROPN
ejpam-6026	258	6	3	3	NUM
ejpam-6026	258	7	=	=	SYM
ejpam-6026	258	8	(	(	PUNCT
ejpam-6026	258	9	s−3	s−3	PROPN
ejpam-6026	258	10	,	,	PUNCT
ejpam-6026	258	11	0	0	NUM
ejpam-6026	258	12	,	,	PUNCT
ejpam-6026	258	13	p	p	NOUN
ejpam-6026	258	14	−	−	PROPN
ejpam-6026	258	15	3	3	X
ejpam-6026	258	16	)	)	PUNCT
ejpam-6026	258	17	is:	is:	PROPN
ejpam-6026	258	18	s−3	s−3	PROPN
ejpam-6026	258	19	(	(	PUNCT
ejpam-6026	258	20	n2p	n2p	ADV
ejpam-6026	258	21	−	−	NUM
ejpam-6026	258	22	3	3	NUM
ejpam-6026	258	23	(	(	PUNCT
ejpam-6026	258	24	c2	c2	PROPN
ejpam-6026	258	25	+	+	PROPN
ejpam-6026	258	26	2s−3	2s−3	NUM
ejpam-6026	258	27	)	)	PUNCT
ejpam-6026	258	28	g2	g2	PROPN
ejpam-6026	258	29	3	3	NUM
ejpam-6026	259	1	−	−	PROPN
ejpam-6026	259	2	e	e	X
ejpam-6026	259	3	)	)	PUNCT
ejpam-6026	259	4	−(e+	−(e+	PRON
ejpam-6026	259	5	1)s−3	1)s−3	NUM
ejpam-6026	259	6	−n2s	−n2	VERB
ejpam-6026	259	7	−	−	PROPN
ejpam-6026	259	8	3	3	NUM
ejpam-6026	259	9	g3	g3	NOUN
ejpam-6026	259	10	0	0	NUM
ejpam-6026	259	11	s−3	s−3	PROPN
ejpam-6026	259	12	−	−	PROPN
ejpam-6026	259	13	wp−3	wp−3	PROPN
ejpam-6026	259	14	−	−	PROPN
ejpam-6026	259	15	d3	d3	PROPN
ejpam-6026	259	16	0	0	NUM
ejpam-6026	259	17	mn2p	mn2p	NOUN
ejpam-6026	259	18	−	−	NOUN
ejpam-6026	259	19	3	3	NUM
ejpam-6026	259	20	(	(	PUNCT
ejpam-6026	259	21	c1−(s−3	c1−(s−3	NOUN
ejpam-6026	259	22	)	)	PUNCT
ejpam-6026	259	23	2	2	NUM
ejpam-6026	259	24	)	)	PUNCT
ejpam-6026	259	25	g2	g2	PROPN
ejpam-6026	259	26	3	3	NUM
ejpam-6026	259	27	−mwp−3	−mwp−3	NOUN
ejpam-6026	259	28	0	0	NUM
ejpam-6026	260	1			NOUN
ejpam-6026	260	2	,	,	PUNCT
ejpam-6026	260	3	where	where	SCONJ
ejpam-6026	260	4	g3	g3	PROPN
ejpam-6026	260	5	=	=	PROPN
ejpam-6026	260	6	c1	c1	PROPN
ejpam-6026	260	7	+	+	CCONJ
ejpam-6026	260	8	c2s	c2s	PROPN
ejpam-6026	260	9	−	−	PROPN
ejpam-6026	260	10	3	3	NUM
ejpam-6026	260	11	+	+	CCONJ
ejpam-6026	260	12	(	(	PUNCT
ejpam-6026	260	13	s−3	s−3	NOUN
ejpam-6026	260	14	)	)	PUNCT
ejpam-6026	260	15	2	2	X
ejpam-6026	260	16	.	.	PUNCT
ejpam-6026	261	1	the	the	DET
ejpam-6026	261	2	eigenvalue	eigenvalue	NOUN
ejpam-6026	261	3	in	in	ADP
ejpam-6026	261	4	the	the	DET
ejpam-6026	261	5	i	i	NOUN
ejpam-6026	261	6	-	-	PUNCT
ejpam-6026	261	7	direction	direction	NOUN
ejpam-6026	261	8	is	be	AUX
ejpam-6026	261	9	λ2	λ2	NOUN
ejpam-6026	261	10	=	=	PUNCT
ejpam-6026	261	11	s−3	s−3	PROPN
ejpam-6026	261	12	−	−	PROPN
ejpam-6026	261	13	wp−3	wp−3	PROPN
ejpam-6026	261	14	−	−	PROPN
ejpam-6026	261	15	d3	d3	PROPN
ejpam-6026	261	16	,	,	PUNCT
ejpam-6026	261	17	and	and	CCONJ
ejpam-6026	261	18	for	for	ADP
ejpam-6026	261	19	:	:	PUNCT
ejpam-6026	261	20	j	j	PROPN
ejpam-6026	261	21	′	′	NOUN
ejpam-6026	261	22	13	13	NUM
ejpam-6026	261	23	=	=	SYM
ejpam-6026	261	24	s−3	s−3	ADP
ejpam-6026	261	25	(	(	PUNCT
ejpam-6026	261	26	n2p	n2p	ADV
ejpam-6026	261	27	−	−	NOUN
ejpam-6026	261	28	3	3	NUM
ejpam-6026	261	29	(	(	PUNCT
ejpam-6026	261	30	c2	c2	PROPN
ejpam-6026	261	31	+	+	PROPN
ejpam-6026	261	32	2s−3	2s−3	NUM
ejpam-6026	261	33	)	)	PUNCT
ejpam-6026	262	1	g2	g2	PROPN
ejpam-6026	262	2	3	3	NUM
ejpam-6026	263	1	−	−	PROPN
ejpam-6026	263	2	e	e	NOUN
ejpam-6026	263	3	)	)	PUNCT
ejpam-6026	263	4	−n2s	−n2s	PUNCT
ejpam-6026	263	5	−	−	PROPN
ejpam-6026	263	6	3	3	NUM
ejpam-6026	263	7	g3	g3	PROPN
ejpam-6026	263	8	mn2p	mn2p	NOUN
ejpam-6026	263	9	−	−	NOUN
ejpam-6026	263	10	3	3	NUM
ejpam-6026	263	11	(	(	PUNCT
ejpam-6026	263	12	c1−(s−3	c1−(s−3	NOUN
ejpam-6026	263	13	)	)	PUNCT
ejpam-6026	263	14	2	2	NUM
ejpam-6026	263	15	)	)	PUNCT
ejpam-6026	263	16	g2	g2	PROPN
ejpam-6026	263	17	3	3	NUM
ejpam-6026	263	18	0	0	NUM
ejpam-6026	263	19			NOUN
ejpam-6026	263	20	,	,	PUNCT
ejpam-6026	263	21	we	we	PRON
ejpam-6026	263	22	have	have	VERB
ejpam-6026	263	23	:	:	PUNCT
ejpam-6026	263	24	tr(j	tr(j	NUM
ejpam-6026	263	25	′	′	NUM
ejpam-6026	263	26	13	13	NUM
ejpam-6026	263	27	)	)	PUNCT
ejpam-6026	264	1	=	=	PUNCT
ejpam-6026	264	2	s−3	s−3	NOUN
ejpam-6026	264	3	(	(	PUNCT
ejpam-6026	264	4	n2p	n2p	ADV
ejpam-6026	264	5	−	−	PROPN
ejpam-6026	264	6	3	3	NUM
ejpam-6026	264	7	(	(	PUNCT
ejpam-6026	264	8	c2	c2	PROPN
ejpam-6026	264	9	+	+	CCONJ
ejpam-6026	264	10	2s−3	2s−3	NUM
ejpam-6026	264	11	)	)	PUNCT
ejpam-6026	264	12	g2	g2	PROPN
ejpam-6026	264	13	3	3	NUM
ejpam-6026	264	14	−	−	PROPN
ejpam-6026	264	15	e	e	NOUN
ejpam-6026	264	16	)	)	PUNCT
ejpam-6026	264	17	,	,	PUNCT
ejpam-6026	264	18	det(j	det(j	PROPN
ejpam-6026	264	19	′	′	NOUN
ejpam-6026	264	20	13	13	NUM
ejpam-6026	264	21	)	)	PUNCT
ejpam-6026	264	22	=	=	PRON
ejpam-6026	264	23	mn2	mn2	VERB
ejpam-6026	264	24	2p	2p	NUM
ejpam-6026	264	25	−	−	PROPN
ejpam-6026	264	26	3	3	NUM
ejpam-6026	264	27	s	s	NOUN
ejpam-6026	264	28	−	−	NOUN
ejpam-6026	264	29	3	3	NUM
ejpam-6026	264	30	(	(	PUNCT
ejpam-6026	264	31	c1	c1	PROPN
ejpam-6026	264	32	−	−	PROPN
ejpam-6026	265	1	(	(	PUNCT
ejpam-6026	265	2	s−3	s−3	NOUN
ejpam-6026	265	3	)	)	PUNCT
ejpam-6026	265	4	2	2	X
ejpam-6026	265	5	)	)	PUNCT
ejpam-6026	265	6	g3	g3	NOUN
ejpam-6026	265	7	3	3	NUM
ejpam-6026	265	8	.	.	PUNCT
ejpam-6026	266	1	for	for	ADP
ejpam-6026	266	2	d3	d3	PROPN
ejpam-6026	266	3	≥	≥	PRON
ejpam-6026	266	4	1	1	NUM
ejpam-6026	266	5	:	:	PUNCT
ejpam-6026	266	6	we	we	PRON
ejpam-6026	266	7	have	have	AUX
ejpam-6026	266	8	s−3	s−3	VERB
ejpam-6026	266	9	<	<	X
ejpam-6026	266	10	1	1	NUM
ejpam-6026	266	11	,	,	PUNCT
ejpam-6026	266	12	so	so	ADV
ejpam-6026	266	13	s−3	s−3	VERB
ejpam-6026	266	14	<	<	X
ejpam-6026	266	15	d3	d3	PROPN
ejpam-6026	266	16	.	.	PUNCT
ejpam-6026	267	1	hence	hence	ADV
ejpam-6026	267	2	,	,	PUNCT
ejpam-6026	267	3	λ2	λ2	PROPN
ejpam-6026	267	4	=	=	PUNCT
ejpam-6026	267	5	s−3	s−3	PROPN
ejpam-6026	267	6	−	−	PROPN
ejpam-6026	267	7	wp−3	wp−3	PROPN
ejpam-6026	267	8	−	−	PROPN
ejpam-6026	267	9	d3	d3	PROPN
ejpam-6026	267	10	<	<	X
ejpam-6026	267	11	0	0	NUM
ejpam-6026	267	12	.	.	PUNCT
ejpam-6026	268	1	also	also	ADV
ejpam-6026	268	2	,	,	PUNCT
ejpam-6026	268	3	det(j	det(j	PROPN
ejpam-6026	268	4	′	′	NOUN
ejpam-6026	268	5	13	13	NUM
ejpam-6026	268	6	)	)	PUNCT
ejpam-6026	268	7	>	>	X
ejpam-6026	268	8	0	0	PUNCT
ejpam-6026	268	9	and	and	CCONJ
ejpam-6026	268	10	tr(j	tr(j	NOUN
ejpam-6026	268	11	′	′	NUM
ejpam-6026	268	12	13	13	NUM
ejpam-6026	268	13	)	)	PUNCT
ejpam-6026	268	14	<	<	X
ejpam-6026	268	15	0	0	NUM
ejpam-6026	268	16	where	where	SCONJ
ejpam-6026	268	17	s−3	s−3	PROPN
ejpam-6026	268	18	<	<	X
ejpam-6026	268	19	√	√	PROPN
ejpam-6026	268	20	c1	c1	NOUN
ejpam-6026	268	21	and	and	CCONJ
ejpam-6026	268	22	n2	n2	NOUN
ejpam-6026	268	23	<	<	X
ejpam-6026	268	24	ep−3	ep−3	PROPN
ejpam-6026	268	25	(	(	PUNCT
ejpam-6026	268	26	c2	c2	PROPN
ejpam-6026	268	27	+	+	PROPN
ejpam-6026	268	28	2s−3	2s−3	NUM
ejpam-6026	268	29	)	)	PUNCT
ejpam-6026	268	30	g2	g2	PROPN
ejpam-6026	268	31	3	3	NUM
ejpam-6026	268	32	,	,	PUNCT
ejpam-6026	268	33	respectively	respectively	ADV
ejpam-6026	268	34	.	.	PUNCT
ejpam-6026	269	1	for	for	ADP
ejpam-6026	269	2	d3	d3	PROPN
ejpam-6026	269	3	<	<	X
ejpam-6026	269	4	1	1	NUM
ejpam-6026	269	5	:	:	PUNCT
ejpam-6026	269	6	when	when	SCONJ
ejpam-6026	269	7	s−3	s−3	PROPN
ejpam-6026	269	8	<	<	X
ejpam-6026	269	9	min{√c1	min{√c1	PROPN
ejpam-6026	269	10	,	,	PUNCT
ejpam-6026	269	11	wp	wp	PROPN
ejpam-6026	269	12	−	−	PROPN
ejpam-6026	269	13	3	3	NUM
ejpam-6026	269	14	+	+	NUM
ejpam-6026	269	15	d3	d3	PROPN
ejpam-6026	269	16	}	}	PUNCT
ejpam-6026	269	17	,	,	PUNCT
ejpam-6026	269	18	then	then	ADV
ejpam-6026	269	19	λ2	λ2	NOUN
ejpam-6026	269	20	=	=	PUNCT
ejpam-6026	269	21	s−3	s−3	PROPN
ejpam-6026	269	22	−	−	PROPN
ejpam-6026	269	23	wp−3	wp−3	PROPN
ejpam-6026	269	24	−	−	PROPN
ejpam-6026	269	25	d3	d3	PROPN
ejpam-6026	269	26	<	<	X
ejpam-6026	269	27	0	0	PUNCT
ejpam-6026	269	28	and	and	CCONJ
ejpam-6026	269	29	det(j	det(j	PROPN
ejpam-6026	269	30	′	′	NOUN
ejpam-6026	269	31	13	13	NUM
ejpam-6026	269	32	)	)	PUNCT
ejpam-6026	269	33	>	>	X
ejpam-6026	270	1	0	0	X
ejpam-6026	270	2	.	.	PUNCT
ejpam-6026	271	1	moreover	moreover	ADV
ejpam-6026	271	2	,	,	PUNCT
ejpam-6026	271	3	if	if	SCONJ
ejpam-6026	271	4	n2	n2	ADJ
ejpam-6026	271	5	<	<	X
ejpam-6026	271	6	ep−3	ep−3	PROPN
ejpam-6026	271	7	(	(	PUNCT
ejpam-6026	271	8	c2	c2	PROPN
ejpam-6026	271	9	+	+	PROPN
ejpam-6026	271	10	2s−3	2s−3	NUM
ejpam-6026	271	11	)	)	PUNCT
ejpam-6026	271	12	g2	g2	PROPN
ejpam-6026	271	13	3	3	NUM
ejpam-6026	271	14	,	,	PUNCT
ejpam-6026	271	15	then	then	ADV
ejpam-6026	271	16	tr(j	tr(j	PUNCT
ejpam-6026	271	17	′	′	NUM
ejpam-6026	271	18	13	13	NUM
ejpam-6026	271	19	)	)	PUNCT
ejpam-6026	271	20	<	<	X
ejpam-6026	271	21	0	0	X
ejpam-6026	271	22	.	.	PUNCT
ejpam-6026	271	23	theorem	theorem	NOUN
ejpam-6026	271	24	12	12	NUM
ejpam-6026	271	25	.	.	PUNCT
ejpam-6026	272	1	the	the	DET
ejpam-6026	272	2	system	system	NOUN
ejpam-6026	272	3	(	(	PUNCT
ejpam-6026	272	4	19	19	NUM
ejpam-6026	272	5	)	)	PUNCT
ejpam-6026	272	6	is	be	AUX
ejpam-6026	272	7	unstable	unstable	ADJ
ejpam-6026	272	8	around	around	ADV
ejpam-6026	272	9	e+	e+	PUNCT
ejpam-6026	272	10	3	3	NUM
ejpam-6026	272	11	=	=	SYM
ejpam-6026	272	12	(	(	PUNCT
ejpam-6026	272	13	s+3	s+3	X
ejpam-6026	272	14	,	,	PUNCT
ejpam-6026	272	15	0	0	NUM
ejpam-6026	272	16	,	,	PUNCT
ejpam-6026	272	17	p	p	X
ejpam-6026	272	18	+	+	NOUN
ejpam-6026	272	19	3	3	NUM
ejpam-6026	272	20	)	)	PUNCT
ejpam-6026	272	21	.	.	PUNCT
ejpam-6026	273	1	proof	proof	NOUN
ejpam-6026	273	2	.	.	PUNCT
ejpam-6026	274	1	from	from	ADP
ejpam-6026	274	2	the	the	DET
ejpam-6026	274	3	existence	existence	NOUN
ejpam-6026	274	4	condition	condition	NOUN
ejpam-6026	274	5	(	(	PUNCT
ejpam-6026	274	6	20	20	NUM
ejpam-6026	274	7	)	)	PUNCT
ejpam-6026	274	8	of	of	ADP
ejpam-6026	274	9	e+	e+	NUM
ejpam-6026	274	10	3	3	NUM
ejpam-6026	274	11	=	=	SYM
ejpam-6026	274	12	(	(	PUNCT
ejpam-6026	274	13	s+3	s+3	X
ejpam-6026	274	14	,	,	PUNCT
ejpam-6026	274	15	0	0	NUM
ejpam-6026	274	16	,	,	PUNCT
ejpam-6026	274	17	p	p	X
ejpam-6026	274	18	+	+	NOUN
ejpam-6026	274	19	3	3	NUM
ejpam-6026	274	20	)	)	PUNCT
ejpam-6026	274	21	,	,	PUNCT
ejpam-6026	274	22	mn2	mn2	VERB
ejpam-6026	274	23	>	>	PUNCT
ejpam-6026	274	24	d4(c2	d4(c2	NOUN
ejpam-6026	274	25	+	+	NOUN
ejpam-6026	274	26	2	2	NUM
ejpam-6026	274	27	√	√	NUM
ejpam-6026	274	28	c1	c1	PROPN
ejpam-6026	274	29	)	)	PUNCT
ejpam-6026	274	30	,	,	PUNCT
ejpam-6026	274	31	and	and	CCONJ
ejpam-6026	274	32	:	:	PUNCT
ejpam-6026	274	33	s+3	s+3	X
ejpam-6026	274	34	=	=	PRON
ejpam-6026	274	35	mn2	mn2	VERB
ejpam-6026	274	36	−	−	NOUN
ejpam-6026	275	1	c2d4	c2d4	NOUN
ejpam-6026	276	1	+	+	CCONJ
ejpam-6026	276	2	√	√	INTJ
ejpam-6026	276	3	(	(	PUNCT
ejpam-6026	276	4	mn2	mn2	VERB
ejpam-6026	276	5	−	−	NOUN
ejpam-6026	276	6	c2d4)2	c2d4)2	NOUN
ejpam-6026	276	7	−	−	PROPN
ejpam-6026	276	8	4c1d24	4c1d24	NUM
ejpam-6026	276	9	2d4	2d4	NUM
ejpam-6026	276	10	>	>	PUNCT
ejpam-6026	276	11	mn2	mn2	PROPN
ejpam-6026	276	12	−	−	PROPN
ejpam-6026	277	1	c2d4	c2d4	PROPN
ejpam-6026	277	2	2d4	2d4	NUM
ejpam-6026	277	3	.	.	PUNCT
ejpam-6026	278	1	thus	thus	ADV
ejpam-6026	278	2	:	:	PUNCT
ejpam-6026	278	3	s+3	s+3	X
ejpam-6026	278	4	>	>	PUNCT
ejpam-6026	278	5	c2d4	c2d4	PROPN
ejpam-6026	279	1	+	+	CCONJ
ejpam-6026	279	2	2d4	2d4	NUM
ejpam-6026	279	3	√	√	PROPN
ejpam-6026	279	4	c1	c1	PROPN
ejpam-6026	279	5	−	−	PROPN
ejpam-6026	280	1	c2d4	c2d4	PROPN
ejpam-6026	280	2	2d4	2d4	NUM
ejpam-6026	280	3	=	=	SYM
ejpam-6026	280	4	√	√	PROPN
ejpam-6026	280	5	c1	c1	PROPN
ejpam-6026	280	6	.	.	PUNCT
ejpam-6026	281	1	therefore	therefore	ADV
ejpam-6026	281	2	,	,	PUNCT
ejpam-6026	281	3	s+3	s+3	X
ejpam-6026	281	4	>	>	PUNCT
ejpam-6026	281	5	√	√	PROPN
ejpam-6026	281	6	c1	c1	NOUN
ejpam-6026	281	7	,	,	PUNCT
ejpam-6026	281	8	so	so	ADV
ejpam-6026	281	9	det(j	det(j	PROPN
ejpam-6026	281	10	′	′	NOUN
ejpam-6026	281	11	13	13	NUM
ejpam-6026	281	12	)	)	PUNCT
ejpam-6026	281	13	is	be	AUX
ejpam-6026	281	14	negative	negative	ADJ
ejpam-6026	281	15	,	,	PUNCT
ejpam-6026	281	16	which	which	PRON
ejpam-6026	281	17	means	mean	VERB
ejpam-6026	281	18	that	that	SCONJ
ejpam-6026	281	19	λ1	λ1	PROPN
ejpam-6026	281	20	or	or	CCONJ
ejpam-6026	281	21	λ3	λ3	PROPN
ejpam-6026	281	22	is	be	AUX
ejpam-6026	281	23	positive	positive	ADJ
ejpam-6026	281	24	.	.	PUNCT
ejpam-6026	282	1	k.	k.	PROPN
ejpam-6026	282	2	a.	a.	PROPN
ejpam-6026	282	3	hassan	hassan	PROPN
ejpam-6026	282	4	/	/	SYM
ejpam-6026	282	5	eur	eur	PROPN
ejpam-6026	282	6	.	.	PUNCT
ejpam-6026	283	1	j.	j.	PROPN
ejpam-6026	283	2	pure	pure	PROPN
ejpam-6026	283	3	appl	appl	PROPN
ejpam-6026	283	4	.	.	PROPN
ejpam-6026	283	5	math	math	PROPN
ejpam-6026	283	6	,	,	PUNCT
ejpam-6026	283	7	18	18	NUM
ejpam-6026	283	8	(	(	PUNCT
ejpam-6026	283	9	2	2	NUM
ejpam-6026	283	10	)	)	PUNCT
ejpam-6026	283	11	(	(	PUNCT
ejpam-6026	283	12	2025	2025	NUM
ejpam-6026	283	13	)	)	PUNCT
ejpam-6026	283	14	,	,	PUNCT
ejpam-6026	283	15	6026	6026	NUM
ejpam-6026	283	16	14	14	NUM
ejpam-6026	283	17	of	of	ADP
ejpam-6026	283	18	20	20	NUM
ejpam-6026	283	19	theorem	theorem	VERB
ejpam-6026	283	20	13	13	NUM
ejpam-6026	283	21	.	.	PUNCT
ejpam-6026	284	1	the	the	DET
ejpam-6026	284	2	system	system	NOUN
ejpam-6026	284	3	(	(	PUNCT
ejpam-6026	284	4	19	19	NUM
ejpam-6026	284	5	)	)	PUNCT
ejpam-6026	284	6	is	be	AUX
ejpam-6026	284	7	unstable	unstable	ADJ
ejpam-6026	284	8	around	around	ADP
ejpam-6026	284	9	e′	e′	NOUN
ejpam-6026	284	10	∗	∗	NOUN
ejpam-6026	284	11	=	=	SYM
ejpam-6026	284	12	(	(	PUNCT
ejpam-6026	284	13	s̄	s̄	NOUN
ejpam-6026	284	14	,	,	PUNCT
ejpam-6026	284	15	ī	ī	NOUN
ejpam-6026	284	16	,	,	PUNCT
ejpam-6026	284	17	p̄	p̄	NOUN
ejpam-6026	284	18	)	)	PUNCT
ejpam-6026	284	19	for	for	ADP
ejpam-6026	284	20	all	all	DET
ejpam-6026	284	21	parameter	parameter	NOUN
ejpam-6026	284	22	values	value	NOUN
ejpam-6026	284	23	.	.	PUNCT
ejpam-6026	285	1	proof	proof	NOUN
ejpam-6026	285	2	.	.	PUNCT
ejpam-6026	286	1	from	from	ADP
ejpam-6026	286	2	the	the	DET
ejpam-6026	286	3	variational	variational	ADJ
ejpam-6026	286	4	matrix	matrix	NOUN
ejpam-6026	286	5	j	j	PROPN
ejpam-6026	286	6	′(e′	′(e′	PROPN
ejpam-6026	286	7	∗	∗	NOUN
ejpam-6026	286	8	)	)	PUNCT
ejpam-6026	286	9	=	=	NOUN
ejpam-6026	287	1	[	[	X
ejpam-6026	287	2	b′ij	b′ij	NOUN
ejpam-6026	287	3	]	]	X
ejpam-6026	287	4	3×3	3×3	NUM
ejpam-6026	287	5	,	,	PUNCT
ejpam-6026	287	6	the	the	DET
ejpam-6026	287	7	characteristic	characteristic	ADJ
ejpam-6026	287	8	polynomial	polynomial	NOUN
ejpam-6026	287	9	corresponding	corresponding	NOUN
ejpam-6026	287	10	to	to	ADP
ejpam-6026	287	11	j	j	PROPN
ejpam-6026	287	12	′(e′	′(e′	PROPN
ejpam-6026	287	13	∗	∗	NOUN
ejpam-6026	287	14	)	)	PUNCT
ejpam-6026	287	15	is	be	AUX
ejpam-6026	287	16	:	:	PUNCT
ejpam-6026	287	17	λ3	λ3	PROPN
ejpam-6026	287	18	+	+	PROPN
ejpam-6026	287	19	h1λ	h1λ	PROPN
ejpam-6026	287	20	2	2	NUM
ejpam-6026	287	21	+	+	NOUN
ejpam-6026	287	22	h2λ+h3	h2λ+h3	NOUN
ejpam-6026	287	23	=	=	SYM
ejpam-6026	287	24	0	0	NUM
ejpam-6026	287	25	,	,	PUNCT
ejpam-6026	287	26	where	where	SCONJ
ejpam-6026	287	27	:	:	PUNCT
ejpam-6026	287	28	h1	h1	PROPN
ejpam-6026	287	29	=	=	SYM
ejpam-6026	287	30	−b′11	−b′11	PROPN
ejpam-6026	287	31	,	,	PUNCT
ejpam-6026	287	32	h2	h2	NOUN
ejpam-6026	287	33	=	=	PUNCT
ejpam-6026	287	34	b′12b	b′12b	NOUN
ejpam-6026	287	35	′	′	NUM
ejpam-6026	287	36	21	21	NUM
ejpam-6026	288	1	+	+	CCONJ
ejpam-6026	288	2	b′23b	b′23b	ADJ
ejpam-6026	288	3	′	′	NUM
ejpam-6026	288	4	32	32	NUM
ejpam-6026	288	5	+	+	PUNCT
ejpam-6026	288	6	b′13b	b′13b	VERB
ejpam-6026	288	7	′	′	NUM
ejpam-6026	288	8	31	31	NUM
ejpam-6026	288	9	,	,	PUNCT
ejpam-6026	288	10	h3	h3	NOUN
ejpam-6026	288	11	=	=	SYM
ejpam-6026	288	12	b′11b	b′11b	NOUN
ejpam-6026	288	13	′	′	NUM
ejpam-6026	288	14	23b	23b	NUM
ejpam-6026	288	15	′	′	NUM
ejpam-6026	288	16	32	32	NUM
ejpam-6026	288	17	−	−	NOUN
ejpam-6026	289	1	b′31b	b′31b	ADJ
ejpam-6026	289	2	′	′	NUM
ejpam-6026	289	3	12b	12b	NOUN
ejpam-6026	289	4	′	′	ADP
ejpam-6026	289	5	23	23	NUM
ejpam-6026	290	1	−	−	NOUN
ejpam-6026	291	1	b′13b	b′13b	NOUN
ejpam-6026	291	2	′	′	NOUN
ejpam-6026	291	3	21b	21b	NOUN
ejpam-6026	291	4	′	′	NUM
ejpam-6026	291	5	32	32	NUM
ejpam-6026	291	6	.	.	PUNCT
ejpam-6026	292	1	and	and	CCONJ
ejpam-6026	292	2	:	:	PUNCT
ejpam-6026	292	3	b′11	b′11	NOUN
ejpam-6026	292	4	=	=	SYM
ejpam-6026	292	5	s̄	s̄	NOUN
ejpam-6026	292	6	[	[	PUNCT
ejpam-6026	292	7	n2p̄(c2	n2p̄(c2	PROPN
ejpam-6026	292	8	+	+	NOUN
ejpam-6026	292	9	2s̄	2s̄	NUM
ejpam-6026	292	10	)	)	PUNCT
ejpam-6026	292	11	ḡ2	ḡ2	NOUN
ejpam-6026	293	1	−	−	PROPN
ejpam-6026	293	2	e	e	PROPN
ejpam-6026	293	3	]	]	PUNCT
ejpam-6026	293	4	,	,	PUNCT
ejpam-6026	293	5	b′12	b′12	X
ejpam-6026	293	6	=	=	SYM
ejpam-6026	293	7	−s̄(e+	−s̄(e+	PROPN
ejpam-6026	293	8	1	1	NUM
ejpam-6026	293	9	)	)	PUNCT
ejpam-6026	293	10	<	<	X
ejpam-6026	293	11	0	0	NUM
ejpam-6026	293	12	,	,	PUNCT
ejpam-6026	293	13	b′13	b′13	ADP
ejpam-6026	293	14	=	=	PUNCT
ejpam-6026	293	15	−n2s̄	−n2s̄	PROPN
ejpam-6026	293	16	ḡ	ḡ	VERB
ejpam-6026	293	17	<	<	X
ejpam-6026	293	18	0	0	PROPN
ejpam-6026	293	19	,	,	PUNCT
ejpam-6026	293	20	b′21	b′21	NOUN
ejpam-6026	293	21	=	=	SYM
ejpam-6026	293	22	ī	ī	X
ejpam-6026	293	23	>	>	X
ejpam-6026	293	24	0	0	NUM
ejpam-6026	293	25	,	,	PUNCT
ejpam-6026	293	26	b′22	b′22	PROPN
ejpam-6026	293	27	=	=	SYM
ejpam-6026	293	28	0	0	NUM
ejpam-6026	293	29	,	,	PUNCT
ejpam-6026	293	30	b′23	b′23	ADV
ejpam-6026	293	31	=	=	PUNCT
ejpam-6026	293	32	−wī	−wī	PUNCT
ejpam-6026	293	33	<	<	X
ejpam-6026	293	34	0	0	PROPN
ejpam-6026	293	35	,	,	PUNCT
ejpam-6026	293	36	b′31	b′31	ADJ
ejpam-6026	293	37	=	=	SYM
ejpam-6026	293	38	mn2p̄(c1	mn2p̄(c1	ADJ
ejpam-6026	293	39	−	−	PROPN
ejpam-6026	293	40	s̄2	s̄2	NOUN
ejpam-6026	293	41	)	)	PUNCT
ejpam-6026	293	42	ḡ2	ḡ2	NOUN
ejpam-6026	293	43	,	,	PUNCT
ejpam-6026	293	44	b′32	b′32	NOUN
ejpam-6026	293	45	=	=	NOUN
ejpam-6026	293	46	−mwp̄	−mwp̄	X
ejpam-6026	293	47	<	<	X
ejpam-6026	293	48	0	0	PROPN
ejpam-6026	293	49	,	,	PUNCT
ejpam-6026	293	50	b′33	b′33	X
ejpam-6026	293	51	=	=	SYM
ejpam-6026	293	52	0	0	PROPN
ejpam-6026	293	53	,	,	PUNCT
ejpam-6026	293	54	where	where	SCONJ
ejpam-6026	293	55	ḡ	ḡ	VERB
ejpam-6026	293	56	=	=	SYM
ejpam-6026	293	57	c1	c1	PROPN
ejpam-6026	293	58	+	+	CCONJ
ejpam-6026	293	59	c2s̄+	c2s̄+	NOUN
ejpam-6026	293	60	s̄2	s̄2	NOUN
ejpam-6026	293	61	.	.	PUNCT
ejpam-6026	294	1	now	now	ADV
ejpam-6026	294	2	if	if	SCONJ
ejpam-6026	294	3	b′11	b′11	NOUN
ejpam-6026	294	4	>	>	X
ejpam-6026	294	5	0	0	NUM
ejpam-6026	294	6	,	,	PUNCT
ejpam-6026	294	7	then	then	ADV
ejpam-6026	294	8	h1	h1	VERB
ejpam-6026	294	9	=	=	PRON
ejpam-6026	294	10	−b′11	−b′11	PROPN
ejpam-6026	294	11	is	be	AUX
ejpam-6026	294	12	negative	negative	ADJ
ejpam-6026	294	13	,	,	PUNCT
ejpam-6026	294	14	which	which	PRON
ejpam-6026	294	15	means	mean	VERB
ejpam-6026	294	16	one	one	NUM
ejpam-6026	294	17	of	of	ADP
ejpam-6026	294	18	the	the	DET
ejpam-6026	294	19	eigenvalues	eigenvalue	NOUN
ejpam-6026	294	20	is	be	AUX
ejpam-6026	294	21	positive	positive	ADJ
ejpam-6026	294	22	.	.	PUNCT
ejpam-6026	295	1	this	this	PRON
ejpam-6026	295	2	implies	imply	VERB
ejpam-6026	295	3	that	that	SCONJ
ejpam-6026	295	4	the	the	DET
ejpam-6026	295	5	equilibrium	equilibrium	NOUN
ejpam-6026	295	6	e′	e′	X
ejpam-6026	295	7	∗	∗	NOUN
ejpam-6026	295	8	=	=	SYM
ejpam-6026	295	9	(	(	PUNCT
ejpam-6026	295	10	s̄	s̄	NOUN
ejpam-6026	295	11	,	,	PUNCT
ejpam-6026	295	12	ī	ī	PROPN
ejpam-6026	295	13	,	,	PUNCT
ejpam-6026	295	14	p̄	p̄	NOUN
ejpam-6026	295	15	)	)	PUNCT
ejpam-6026	295	16	is	be	AUX
ejpam-6026	295	17	unstable	unstable	ADJ
ejpam-6026	295	18	.	.	PUNCT
ejpam-6026	296	1	if	if	SCONJ
ejpam-6026	296	2	b′11	b′11	NOUN
ejpam-6026	296	3	>	>	X
ejpam-6026	296	4	0	0	NUM
ejpam-6026	296	5	,	,	PUNCT
ejpam-6026	296	6	then	then	ADV
ejpam-6026	296	7	the	the	DET
ejpam-6026	296	8	stability	stability	NOUN
ejpam-6026	296	9	of	of	ADP
ejpam-6026	296	10	e′	e′	NOUN
ejpam-6026	296	11	∗	∗	NOUN
ejpam-6026	296	12	=	=	SYM
ejpam-6026	296	13	(	(	PUNCT
ejpam-6026	296	14	s̄	s̄	NOUN
ejpam-6026	296	15	,	,	PUNCT
ejpam-6026	296	16	ī	ī	PROPN
ejpam-6026	296	17	,	,	PUNCT
ejpam-6026	296	18	p̄	p̄	NOUN
ejpam-6026	296	19	)	)	PUNCT
ejpam-6026	296	20	depends	depend	VERB
ejpam-6026	296	21	on	on	ADP
ejpam-6026	296	22	the	the	DET
ejpam-6026	296	23	sign	sign	NOUN
ejpam-6026	296	24	of	of	ADP
ejpam-6026	296	25	b′31	b′31	NOUN
ejpam-6026	296	26	.	.	PUNCT
ejpam-6026	297	1	for	for	ADP
ejpam-6026	297	2	b	b	PROPN
ejpam-6026	297	3	′	′	NUM
ejpam-6026	297	4	31	31	NUM
ejpam-6026	297	5	,	,	PUNCT
ejpam-6026	297	6	from	from	ADP
ejpam-6026	297	7	the	the	DET
ejpam-6026	297	8	existence	existence	NOUN
ejpam-6026	297	9	condition	condition	NOUN
ejpam-6026	297	10	of	of	ADP
ejpam-6026	297	11	e′	e′	PROPN
ejpam-6026	297	12	∗.	∗.	PROPN
ejpam-6026	297	13	since	since	SCONJ
ejpam-6026	297	14	0	0	NUM
ejpam-6026	297	15	<	<	X
ejpam-6026	297	16	s̄	s̄	NOUN
ejpam-6026	297	17	<	<	X
ejpam-6026	297	18	c1	c1	PROPN
ejpam-6026	297	19	and	and	CCONJ
ejpam-6026	297	20	0	0	NUM
ejpam-6026	297	21	<	<	X
ejpam-6026	297	22	s	s	X
ejpam-6026	298	1	+	+	X
ejpam-6026	298	2	i	i	PRON
ejpam-6026	298	3	<	<	X
ejpam-6026	298	4	1	1	NUM
ejpam-6026	298	5	,	,	PUNCT
ejpam-6026	298	6	it	it	PRON
ejpam-6026	298	7	follows	follow	VERB
ejpam-6026	298	8	that	that	SCONJ
ejpam-6026	298	9	s̄	s̄	NOUN
ejpam-6026	298	10	<	<	X
ejpam-6026	298	11	1	1	NUM
ejpam-6026	298	12	.	.	PUNCT
ejpam-6026	299	1	hence	hence	ADV
ejpam-6026	299	2	,	,	PUNCT
ejpam-6026	299	3	s̄2	s̄2	NOUN
ejpam-6026	299	4	<	<	X
ejpam-6026	299	5	s̄	s̄	NOUN
ejpam-6026	299	6	and	and	CCONJ
ejpam-6026	299	7	s̄2	s̄2	NOUN
ejpam-6026	299	8	<	<	X
ejpam-6026	299	9	c1	c1	PROPN
ejpam-6026	299	10	,	,	PUNCT
ejpam-6026	299	11	which	which	PRON
ejpam-6026	299	12	implies	imply	VERB
ejpam-6026	299	13	:	:	PUNCT
ejpam-6026	299	14	b′31	b′31	PROPN
ejpam-6026	299	15	=	=	SYM
ejpam-6026	299	16	(	(	PUNCT
ejpam-6026	299	17	c1	c1	PROPN
ejpam-6026	299	18	−	−	PROPN
ejpam-6026	299	19	s̄)2	s̄)2	PROPN
ejpam-6026	299	20	>	>	X
ejpam-6026	299	21	0	0	X
ejpam-6026	299	22	.	.	PUNCT
ejpam-6026	300	1	then	then	ADV
ejpam-6026	300	2	,	,	PUNCT
ejpam-6026	300	3	h3	h3	NOUN
ejpam-6026	300	4	is	be	AUX
ejpam-6026	300	5	negative	negative	ADJ
ejpam-6026	300	6	.	.	PUNCT
ejpam-6026	301	1	thus	thus	ADV
ejpam-6026	301	2	,	,	PUNCT
ejpam-6026	301	3	by	by	ADP
ejpam-6026	301	4	the	the	DET
ejpam-6026	301	5	routh	routh	PROPN
ejpam-6026	301	6	-	-	PUNCT
ejpam-6026	301	7	hurwitz	hurwitz	PROPN
ejpam-6026	301	8	criterion	criterion	NOUN
ejpam-6026	301	9	,	,	PUNCT
ejpam-6026	301	10	one	one	NUM
ejpam-6026	301	11	of	of	ADP
ejpam-6026	301	12	the	the	DET
ejpam-6026	301	13	eigenvalues	eigenvalue	NOUN
ejpam-6026	301	14	of	of	ADP
ejpam-6026	301	15	the	the	DET
ejpam-6026	301	16	jacobian	jacobian	ADJ
ejpam-6026	301	17	matrix	matrix	NOUN
ejpam-6026	301	18	around	around	ADP
ejpam-6026	301	19	e′	e′	PROPN
ejpam-6026	301	20	∗	∗	NOUN
ejpam-6026	301	21	is	be	AUX
ejpam-6026	301	22	positive	positive	ADJ
ejpam-6026	301	23	,	,	PUNCT
ejpam-6026	301	24	and	and	CCONJ
ejpam-6026	301	25	therefore	therefore	ADV
ejpam-6026	301	26	e′	e′	VERB
ejpam-6026	301	27	∗	∗	NOUN
ejpam-6026	301	28	=	=	SYM
ejpam-6026	301	29	(	(	PUNCT
ejpam-6026	301	30	s̄	s̄	NOUN
ejpam-6026	301	31	,	,	PUNCT
ejpam-6026	301	32	ī	ī	PROPN
ejpam-6026	301	33	,	,	PUNCT
ejpam-6026	301	34	p̄	p̄	NOUN
ejpam-6026	301	35	)	)	PUNCT
ejpam-6026	301	36	is	be	AUX
ejpam-6026	301	37	unstable	unstable	ADJ
ejpam-6026	301	38	.	.	PUNCT
ejpam-6026	302	1	4	4	X
ejpam-6026	302	2	.	.	X
ejpam-6026	302	3	numerical	numerical	PROPN
ejpam-6026	302	4	simulation	simulation	PROPN
ejpam-6026	302	5	based	base	VERB
ejpam-6026	302	6	on	on	ADP
ejpam-6026	302	7	the	the	DET
ejpam-6026	302	8	conditions	condition	NOUN
ejpam-6026	302	9	for	for	ADP
ejpam-6026	302	10	existence	existence	NOUN
ejpam-6026	302	11	and	and	CCONJ
ejpam-6026	302	12	the	the	DET
ejpam-6026	302	13	analysis	analysis	NOUN
ejpam-6026	302	14	of	of	ADP
ejpam-6026	302	15	stability	stability	NOUN
ejpam-6026	302	16	for	for	ADP
ejpam-6026	302	17	the	the	DET
ejpam-6026	302	18	equilibrium	equilibrium	NOUN
ejpam-6026	302	19	points	point	NOUN
ejpam-6026	302	20	,	,	PUNCT
ejpam-6026	302	21	the	the	DET
ejpam-6026	302	22	parameters	parameter	NOUN
ejpam-6026	302	23	d3	d3	VERB
ejpam-6026	302	24	,	,	PUNCT
ejpam-6026	302	25	n1	n1	NOUN
ejpam-6026	302	26	,	,	PUNCT
ejpam-6026	302	27	and	and	CCONJ
ejpam-6026	302	28	n2	n2	NOUN
ejpam-6026	302	29	are	be	AUX
ejpam-6026	302	30	recognized	recognize	VERB
ejpam-6026	302	31	to	to	PART
ejpam-6026	302	32	be	be	AUX
ejpam-6026	302	33	important	important	ADJ
ejpam-6026	302	34	in	in	ADP
ejpam-6026	302	35	models	model	NOUN
ejpam-6026	302	36	(	(	PUNCT
ejpam-6026	302	37	4	4	NUM
ejpam-6026	302	38	)	)	PUNCT
ejpam-6026	302	39	and	and	CCONJ
ejpam-6026	302	40	(	(	PUNCT
ejpam-6026	302	41	19	19	NUM
ejpam-6026	302	42	)	)	PUNCT
ejpam-6026	302	43	.	.	PUNCT
ejpam-6026	303	1	however	however	ADV
ejpam-6026	303	2	,	,	PUNCT
ejpam-6026	303	3	a	a	DET
ejpam-6026	303	4	direct	direct	ADJ
ejpam-6026	303	5	comparison	comparison	NOUN
ejpam-6026	303	6	of	of	ADP
ejpam-6026	303	7	the	the	DET
ejpam-6026	303	8	dynamics	dynamic	NOUN
ejpam-6026	303	9	between	between	ADP
ejpam-6026	303	10	models	model	NOUN
ejpam-6026	303	11	(	(	PUNCT
ejpam-6026	303	12	3	3	NUM
ejpam-6026	303	13	)	)	PUNCT
ejpam-6026	303	14	and	and	CCONJ
ejpam-6026	303	15	(	(	PUNCT
ejpam-6026	303	16	18	18	NUM
ejpam-6026	303	17	)	)	PUNCT
ejpam-6026	303	18	in	in	ADP
ejpam-6026	303	19	the	the	DET
ejpam-6026	303	20	d3	d3	PROPN
ejpam-6026	303	21	-	-	PUNCT
ejpam-6026	303	22	n1	n1	NOUN
ejpam-6026	303	23	and	and	CCONJ
ejpam-6026	303	24	d3	d3	PROPN
ejpam-6026	303	25	-	-	PUNCT
ejpam-6026	303	26	n2	n2	ADJ
ejpam-6026	303	27	parameter	parameter	NOUN
ejpam-6026	303	28	planes	plane	NOUN
ejpam-6026	303	29	is	be	AUX
ejpam-6026	303	30	not	not	PART
ejpam-6026	303	31	feasible	feasible	ADJ
ejpam-6026	303	32	.	.	PUNCT
ejpam-6026	304	1	to	to	PART
ejpam-6026	304	2	address	address	VERB
ejpam-6026	304	3	this	this	PRON
ejpam-6026	304	4	,	,	PUNCT
ejpam-6026	304	5	we	we	PRON
ejpam-6026	304	6	first	first	ADV
ejpam-6026	304	7	reformulate	reformulate	VERB
ejpam-6026	304	8	all	all	DET
ejpam-6026	304	9	the	the	DET
ejpam-6026	304	10	conditions	condition	NOUN
ejpam-6026	304	11	outlined	outline	VERB
ejpam-6026	304	12	in	in	ADP
ejpam-6026	304	13	the	the	DET
ejpam-6026	304	14	respective	respective	ADJ
ejpam-6026	304	15	theorems	theorem	NOUN
ejpam-6026	304	16	using	use	VERB
ejpam-6026	304	17	the	the	DET
ejpam-6026	304	18	original	original	ADJ
ejpam-6026	304	19	system	system	NOUN
ejpam-6026	304	20	parameters	parameter	NOUN
ejpam-6026	304	21	,	,	PUNCT
ejpam-6026	304	22	as	as	SCONJ
ejpam-6026	304	23	outlined	outline	VERB
ejpam-6026	304	24	in	in	ADP
ejpam-6026	304	25	table	table	NOUN
ejpam-6026	304	26	2	2	NUM
ejpam-6026	304	27	,	,	PUNCT
ejpam-6026	304	28	and	and	CCONJ
ejpam-6026	304	29	then	then	ADV
ejpam-6026	304	30	compare	compare	VERB
ejpam-6026	304	31	the	the	DET
ejpam-6026	304	32	results	result	NOUN
ejpam-6026	304	33	in	in	ADP
ejpam-6026	304	34	the	the	DET
ejpam-6026	304	35	α	α	NOUN
ejpam-6026	304	36	-	-	PUNCT
ejpam-6026	304	37	λ	λ	PROPN
ejpam-6026	304	38	parameter	parameter	NOUN
ejpam-6026	304	39	plane	plane	NOUN
ejpam-6026	304	40	.	.	PUNCT
ejpam-6026	305	1	for	for	ADP
ejpam-6026	305	2	both	both	CCONJ
ejpam-6026	305	3	the	the	DET
ejpam-6026	305	4	beddington	beddington	PROPN
ejpam-6026	305	5	-	-	PUNCT
ejpam-6026	305	6	deangelis	deangelis	PROPN
ejpam-6026	305	7	and	and	CCONJ
ejpam-6026	305	8	holling	holle	VERB
ejpam-6026	305	9	type	type	NOUN
ejpam-6026	305	10	iv	iv	NUM
ejpam-6026	305	11	functional	functional	ADJ
ejpam-6026	305	12	responses	response	NOUN
ejpam-6026	305	13	,	,	PUNCT
ejpam-6026	305	14	it	it	PRON
ejpam-6026	305	15	is	be	AUX
ejpam-6026	305	16	noted	note	VERB
ejpam-6026	305	17	that	that	SCONJ
ejpam-6026	305	18	the	the	DET
ejpam-6026	305	19	trivial	trivial	ADJ
ejpam-6026	305	20	equilibrium	equilibrium	NOUN
ejpam-6026	305	21	point	point	NOUN
ejpam-6026	305	22	e0	e0	PROPN
ejpam-6026	305	23	invariably	invariably	ADV
ejpam-6026	305	24	remains	remain	VERB
ejpam-6026	305	25	an	an	DET
ejpam-6026	305	26	unstable	unstable	ADJ
ejpam-6026	305	27	saddle	saddle	NOUN
ejpam-6026	305	28	for	for	ADP
ejpam-6026	305	29	all	all	DET
ejpam-6026	305	30	parameter	parameter	NOUN
ejpam-6026	305	31	values	value	NOUN
ejpam-6026	305	32	.	.	PUNCT
ejpam-6026	306	1	if	if	SCONJ
ejpam-6026	306	2	λ	λ	PROPN
ejpam-6026	306	3	<	<	X
ejpam-6026	306	4	d1	d1	PROPN
ejpam-6026	306	5	k	k	PROPN
ejpam-6026	306	6	,	,	PUNCT
ejpam-6026	306	7	e1	e1	PROPN
ejpam-6026	306	8	is	be	AUX
ejpam-6026	306	9	asymptotically	asymptotically	ADV
ejpam-6026	306	10	stable	stable	ADJ
ejpam-6026	306	11	if	if	SCONJ
ejpam-6026	306	12	α	α	PRON
ejpam-6026	306	13	<	<	X
ejpam-6026	306	14	d2	d2	PROPN
ejpam-6026	306	15	m	m	PROPN
ejpam-6026	306	16	(	(	PUNCT
ejpam-6026	306	17	1	1	NUM
ejpam-6026	306	18	+	+	CCONJ
ejpam-6026	306	19	c	c	NOUN
ejpam-6026	306	20	k	k	X
ejpam-6026	306	21	)	)	PUNCT
ejpam-6026	306	22	for	for	ADP
ejpam-6026	306	23	the	the	DET
ejpam-6026	306	24	beddington	beddington	PROPN
ejpam-6026	306	25	-	-	PUNCT
ejpam-6026	306	26	deangelis	deangelis	PROPN
ejpam-6026	306	27	functional	functional	ADJ
ejpam-6026	306	28	response	response	NOUN
ejpam-6026	306	29	and	and	CCONJ
ejpam-6026	306	30	α	α	NOUN
ejpam-6026	306	31	<	<	X
ejpam-6026	306	32	d2	d2	PROPN
ejpam-6026	306	33	m	m	PROPN
ejpam-6026	306	34	(	(	PUNCT
ejpam-6026	306	35	a2k	a2k	X
ejpam-6026	307	1	+	+	CCONJ
ejpam-6026	307	2	1	1	NUM
ejpam-6026	307	3	k	k	NOUN
ejpam-6026	307	4	+	+	CCONJ
ejpam-6026	307	5	a1	a1	NOUN
ejpam-6026	307	6	)	)	PUNCT
ejpam-6026	307	7	for	for	ADP
ejpam-6026	307	8	the	the	DET
ejpam-6026	307	9	holling	holle	VERB
ejpam-6026	307	10	type	type	NOUN
ejpam-6026	307	11	iv	iv	ADP
ejpam-6026	307	12	functional	functional	ADJ
ejpam-6026	307	13	response	response	NOUN
ejpam-6026	307	14	.	.	PUNCT
ejpam-6026	308	1	it	it	PRON
ejpam-6026	308	2	is	be	AUX
ejpam-6026	308	3	important	important	ADJ
ejpam-6026	308	4	to	to	PART
ejpam-6026	308	5	observe	observe	VERB
ejpam-6026	308	6	that	that	SCONJ
ejpam-6026	308	7	the	the	DET
ejpam-6026	308	8	net	net	ADJ
ejpam-6026	308	9	reproductive	reproductive	ADJ
ejpam-6026	308	10	ratio	ratio	NOUN
ejpam-6026	308	11	,	,	PUNCT
ejpam-6026	308	12	r0	r0	NOUN
ejpam-6026	308	13	,	,	PUNCT
ejpam-6026	308	14	is	be	AUX
ejpam-6026	308	15	defined	define	VERB
ejpam-6026	308	16	as	as	ADP
ejpam-6026	308	17	r0	r0	NOUN
ejpam-6026	308	18	=	=	PUNCT
ejpam-6026	308	19	λs	λs	ADP
ejpam-6026	308	20	d1	d1	PROPN
ejpam-6026	308	21	for	for	ADP
ejpam-6026	308	22	each	each	DET
ejpam-6026	308	23	case	case	NOUN
ejpam-6026	308	24	.	.	PUNCT
ejpam-6026	309	1	the	the	DET
ejpam-6026	309	2	number	number	NOUN
ejpam-6026	309	3	of	of	ADP
ejpam-6026	309	4	new	new	ADJ
ejpam-6026	309	5	infections	infection	NOUN
ejpam-6026	309	6	generated	generate	VERB
ejpam-6026	309	7	directly	directly	ADV
ejpam-6026	309	8	from	from	ADP
ejpam-6026	309	9	a	a	DET
ejpam-6026	309	10	single	single	ADJ
ejpam-6026	309	11	infected	infected	ADJ
ejpam-6026	309	12	prey	prey	NOUN
ejpam-6026	309	13	is	be	AUX
ejpam-6026	309	14	represented	represent	VERB
ejpam-6026	309	15	by	by	ADP
ejpam-6026	309	16	r0	r0	NOUN
ejpam-6026	309	17	.	.	PUNCT
ejpam-6026	310	1	whenever	whenever	SCONJ
ejpam-6026	310	2	r0	r0	VERB
ejpam-6026	310	3	<	<	X
ejpam-6026	310	4	1	1	NUM
ejpam-6026	310	5	,	,	PUNCT
ejpam-6026	310	6	the	the	DET
ejpam-6026	310	7	disease	disease	NOUN
ejpam-6026	310	8	tends	tend	VERB
ejpam-6026	310	9	to	to	PART
ejpam-6026	310	10	die	die	VERB
ejpam-6026	310	11	out	out	ADP
ejpam-6026	310	12	,	,	PUNCT
ejpam-6026	310	13	whereas	whereas	SCONJ
ejpam-6026	310	14	if	if	SCONJ
ejpam-6026	310	15	r0	r0	NOUN
ejpam-6026	310	16	>	>	X
ejpam-6026	310	17	1	1	NUM
ejpam-6026	310	18	,	,	PUNCT
ejpam-6026	310	19	k.	k.	PROPN
ejpam-6026	310	20	a.	a.	PROPN
ejpam-6026	310	21	hassan	hassan	PROPN
ejpam-6026	310	22	/	/	SYM
ejpam-6026	310	23	eur	eur	PROPN
ejpam-6026	310	24	.	.	PUNCT
ejpam-6026	311	1	j.	j.	PROPN
ejpam-6026	311	2	pure	pure	PROPN
ejpam-6026	311	3	appl	appl	PROPN
ejpam-6026	311	4	.	.	PROPN
ejpam-6026	311	5	math	math	PROPN
ejpam-6026	311	6	,	,	PUNCT
ejpam-6026	311	7	18	18	NUM
ejpam-6026	311	8	(	(	PUNCT
ejpam-6026	311	9	2	2	NUM
ejpam-6026	311	10	)	)	PUNCT
ejpam-6026	311	11	(	(	PUNCT
ejpam-6026	311	12	2025	2025	NUM
ejpam-6026	311	13	)	)	PUNCT
ejpam-6026	311	14	,	,	PUNCT
ejpam-6026	311	15	6026	6026	NUM
ejpam-6026	311	16	15	15	NUM
ejpam-6026	311	17	of	of	ADP
ejpam-6026	311	18	20	20	NUM
ejpam-6026	311	19	table	table	NOUN
ejpam-6026	311	20	2	2	NUM
ejpam-6026	311	21	:	:	PUNCT
ejpam-6026	311	22	stability	stability	NOUN
ejpam-6026	311	23	conditions	condition	NOUN
ejpam-6026	311	24	for	for	ADP
ejpam-6026	311	25	equilibria	equilibrium	NOUN
ejpam-6026	311	26	equilibria	equilibria	PROPN
ejpam-6026	311	27	beddington	beddington	PROPN
ejpam-6026	311	28	-	-	PUNCT
ejpam-6026	311	29	deangelis	deangelis	PROPN
ejpam-6026	311	30	holling	holling	PROPN
ejpam-6026	311	31	type	type	NOUN
ejpam-6026	311	32	iv	iv	NUM
ejpam-6026	311	33	e0	e0	NOUN
ejpam-6026	311	34	unstable	unstable	ADJ
ejpam-6026	311	35	unstable	unstable	ADJ
ejpam-6026	311	36	e1	e1	NOUN
ejpam-6026	311	37	λ	λ	NOUN
ejpam-6026	311	38	<	<	X
ejpam-6026	311	39	d1	d1	PROPN
ejpam-6026	311	40	k	k	PROPN
ejpam-6026	311	41	and	and	CCONJ
ejpam-6026	311	42	α	α	NOUN
ejpam-6026	311	43	<	<	X
ejpam-6026	311	44	d2	d2	PROPN
ejpam-6026	311	45	m	m	PROPN
ejpam-6026	311	46	(	(	PUNCT
ejpam-6026	311	47	1	1	NUM
ejpam-6026	312	1	+	+	CCONJ
ejpam-6026	312	2	c	c	NOUN
ejpam-6026	312	3	k	k	X
ejpam-6026	312	4	)	)	PUNCT
ejpam-6026	312	5	λ	λ	X
ejpam-6026	312	6	<	<	X
ejpam-6026	312	7	d1	d1	PROPN
ejpam-6026	312	8	k	k	PROPN
ejpam-6026	312	9	and	and	CCONJ
ejpam-6026	312	10	α	α	NOUN
ejpam-6026	312	11	<	<	X
ejpam-6026	312	12	d2	d2	PROPN
ejpam-6026	312	13	m	m	PROPN
ejpam-6026	312	14	(	(	PUNCT
ejpam-6026	312	15	a2k	a2k	X
ejpam-6026	313	1	+	+	CCONJ
ejpam-6026	313	2	1	1	NUM
ejpam-6026	313	3	k	k	NOUN
ejpam-6026	313	4	+	+	CCONJ
ejpam-6026	313	5	a1	a1	NOUN
ejpam-6026	313	6	)	)	PUNCT
ejpam-6026	313	7	e2	e2	PROPN
ejpam-6026	313	8	λ	λ	PROPN
ejpam-6026	313	9	>	>	X
ejpam-6026	313	10	d1	d1	PROPN
ejpam-6026	313	11	k	k	PROPN
ejpam-6026	313	12	and	and	CCONJ
ejpam-6026	313	13	α	α	NOUN
ejpam-6026	313	14	<	<	X
ejpam-6026	313	15	d1	d1	PROPN
ejpam-6026	313	16	+	+	CCONJ
ejpam-6026	313	17	cλ	cλ	PROPN
ejpam-6026	313	18	md1	md1	NOUN
ejpam-6026	313	19	(	(	PUNCT
ejpam-6026	313	20	mrγ(1−	mrγ(1−	VERB
ejpam-6026	313	21	d1	d1	PROPN
ejpam-6026	313	22	λk	λk	X
ejpam-6026	313	23	)	)	PUNCT
ejpam-6026	313	24	λ(c+k	λ(c+k	X
ejpam-6026	313	25	)	)	PUNCT
ejpam-6026	314	1	+	+	NUM
ejpam-6026	314	2	d2	d2	PROPN
ejpam-6026	314	3	)	)	PUNCT
ejpam-6026	314	4	λ	λ	PROPN
ejpam-6026	314	5	>	>	X
ejpam-6026	314	6	d1	d1	PROPN
ejpam-6026	314	7	k	k	PROPN
ejpam-6026	314	8	and	and	CCONJ
ejpam-6026	314	9	α	α	NOUN
ejpam-6026	314	10	<	<	X
ejpam-6026	314	11	d2	d2	PROPN
ejpam-6026	314	12	m	m	PROPN
ejpam-6026	314	13	(	(	PUNCT
ejpam-6026	314	14	λ+	λ+	NUM
ejpam-6026	314	15	a1d1	a1d1	NOUN
ejpam-6026	314	16	+	+	CCONJ
ejpam-6026	314	17	a2d	a2d	PROPN
ejpam-6026	314	18	2	2	NUM
ejpam-6026	314	19	1	1	NUM
ejpam-6026	314	20	λ	λ	PROPN
ejpam-6026	314	21	)	)	PUNCT
ejpam-6026	314	22	e3	e3	VERB
ejpam-6026	314	23	•	•	NUM
ejpam-6026	314	24	λ	λ	NOUN
ejpam-6026	314	25	≤	≤	NOUN
ejpam-6026	314	26	d1	d1	PROPN
ejpam-6026	314	27	k	k	PROPN
ejpam-6026	314	28	and	and	CCONJ
ejpam-6026	314	29	d2	d2	PROPN
ejpam-6026	314	30	m	m	PROPN
ejpam-6026	314	31	<	<	X
ejpam-6026	314	32	α	α	X
ejpam-6026	314	33	<	<	X
ejpam-6026	314	34	r	r	X
ejpam-6026	314	35	p̄(s̄+	p̄(s̄+	PROPN
ejpam-6026	314	36	bp̄+	bp̄+	PROPN
ejpam-6026	314	37	c	c	PROPN
ejpam-6026	314	38	k	k	PROPN
ejpam-6026	314	39	)	)	PUNCT
ejpam-6026	314	40	2	2	NUM
ejpam-6026	314	41	•	•	NUM
ejpam-6026	314	42	λ	λ	X
ejpam-6026	314	43	>	>	X
ejpam-6026	314	44	d1	d1	PROPN
ejpam-6026	314	45	k	k	PROPN
ejpam-6026	314	46	and	and	CCONJ
ejpam-6026	314	47	d2	d2	PROPN
ejpam-6026	314	48	m	m	PROPN
ejpam-6026	314	49	(	(	PUNCT
ejpam-6026	314	50	cλ	cλ	INTJ
ejpam-6026	314	51	γkp̄+d1	γkp̄+d1	X
ejpam-6026	315	1	+	+	CCONJ
ejpam-6026	315	2	1	1	X
ejpam-6026	315	3	)	)	PUNCT
ejpam-6026	315	4	<	<	X
ejpam-6026	315	5	α	α	X
ejpam-6026	315	6	<	<	X
ejpam-6026	315	7	r	r	NOUN
ejpam-6026	315	8	p̄(s̄	p̄(s̄	NOUN
ejpam-6026	315	9	+	+	CCONJ
ejpam-6026	315	10	bp̄	bp̄	NOUN
ejpam-6026	315	11	+	+	CCONJ
ejpam-6026	315	12	c	c	PROPN
ejpam-6026	315	13	k	k	X
ejpam-6026	315	14	)	)	PUNCT
ejpam-6026	315	15	2	2	NUM
ejpam-6026	315	16	with	with	ADP
ejpam-6026	315	17	respect	respect	NOUN
ejpam-6026	315	18	to	to	ADP
ejpam-6026	315	19	e−	e−	PROPN
ejpam-6026	315	20	3	3	NUM
ejpam-6026	315	21	:	:	SYM
ejpam-6026	315	22	•	•	NUM
ejpam-6026	315	23	λ	λ	NOUN
ejpam-6026	315	24	≤	≤	NOUN
ejpam-6026	315	25	d1	d1	PROPN
ejpam-6026	315	26	k	k	NOUN
ejpam-6026	315	27	,	,	PUNCT
ejpam-6026	315	28	s−3	s−3	VERB
ejpam-6026	315	29	<	<	X
ejpam-6026	315	30	1	1	NUM
ejpam-6026	315	31	k	k	NOUN
ejpam-6026	315	32	√	√	PROPN
ejpam-6026	315	33	a2	a2	PROPN
ejpam-6026	315	34	,	,	PUNCT
ejpam-6026	315	35	and	and	CCONJ
ejpam-6026	315	36	α	α	PRON
ejpam-6026	315	37	<	<	X
ejpam-6026	315	38	ra22k	ra22k	NOUN
ejpam-6026	315	39	2p−3	2p−3	NUM
ejpam-6026	315	40	(	(	PUNCT
ejpam-6026	315	41	a1	a1	NOUN
ejpam-6026	315	42	+	+	CCONJ
ejpam-6026	315	43	2a2ks−3	2a2ks−3	NOUN
ejpam-6026	315	44	)	)	PUNCT
ejpam-6026	315	45	(	(	PUNCT
ejpam-6026	315	46	1	1	NUM
ejpam-6026	315	47	/	/	SYM
ejpam-6026	315	48	k	k	NOUN
ejpam-6026	316	1	+	+	CCONJ
ejpam-6026	316	2	a1s	a1s	ADJ
ejpam-6026	316	3	−	−	PROPN
ejpam-6026	316	4	3	3	NUM
ejpam-6026	316	5	+	+	CCONJ
ejpam-6026	316	6	a2k(s−3	a2k(s−3	X
ejpam-6026	316	7	)	)	PUNCT
ejpam-6026	316	8	2)2	2)2	NUM
ejpam-6026	316	9	•	•	NUM
ejpam-6026	316	10	λ	λ	X
ejpam-6026	316	11	>	>	X
ejpam-6026	316	12	d1	d1	PROPN
ejpam-6026	316	13	k	k	PROPN
ejpam-6026	316	14	,	,	PUNCT
ejpam-6026	316	15	s−3	s−3	PROPN
ejpam-6026	316	16	<	<	X
ejpam-6026	316	17	min	min	PROPN
ejpam-6026	316	18	{	{	PUNCT
ejpam-6026	316	19	1	1	NUM
ejpam-6026	316	20	k	k	NOUN
ejpam-6026	316	21	√	√	PROPN
ejpam-6026	316	22	a2	a2	PROPN
ejpam-6026	316	23	,	,	PUNCT
ejpam-6026	316	24	1	1	NUM
ejpam-6026	316	25	λk	λk	X
ejpam-6026	316	26	(	(	PUNCT
ejpam-6026	316	27	λγp−3	λγp−3	X
ejpam-6026	316	28	+	+	CCONJ
ejpam-6026	316	29	d1	d1	NOUN
ejpam-6026	316	30	)	)	PUNCT
ejpam-6026	316	31	,	,	PUNCT
ejpam-6026	316	32	and	and	CCONJ
ejpam-6026	316	33	α	α	PRON
ejpam-6026	316	34	<	<	X
ejpam-6026	316	35	ra22k	ra22k	NOUN
ejpam-6026	316	36	2p−3	2p−3	NUM
ejpam-6026	316	37	(	(	PUNCT
ejpam-6026	316	38	a1	a1	NOUN
ejpam-6026	316	39	+	+	CCONJ
ejpam-6026	316	40	2a2ks−3	2a2ks−3	NOUN
ejpam-6026	316	41	)	)	PUNCT
ejpam-6026	316	42	(	(	PUNCT
ejpam-6026	316	43	1	1	NUM
ejpam-6026	316	44	/	/	SYM
ejpam-6026	316	45	k	k	NOUN
ejpam-6026	317	1	+	+	CCONJ
ejpam-6026	317	2	a1s	a1s	ADJ
ejpam-6026	317	3	−	−	PROPN
ejpam-6026	317	4	3	3	NUM
ejpam-6026	317	5	+	+	CCONJ
ejpam-6026	317	6	a2k(s−3	a2k(s−3	X
ejpam-6026	317	7	)	)	PUNCT
ejpam-6026	317	8	2)2	2)2	NUM
ejpam-6026	317	9	with	with	ADP
ejpam-6026	317	10	respect	respect	NOUN
ejpam-6026	317	11	to	to	ADP
ejpam-6026	317	12	e+	e+	NUM
ejpam-6026	317	13	3	3	NUM
ejpam-6026	317	14	:	:	PUNCT
ejpam-6026	317	15	unstable	unstable	ADJ
ejpam-6026	317	16	e∗	e∗	PROPN
ejpam-6026	317	17	unstable	unstable	ADJ
ejpam-6026	317	18	unstable	unstable	ADJ
ejpam-6026	317	19	the	the	DET
ejpam-6026	317	20	disease	disease	NOUN
ejpam-6026	317	21	persists	persist	VERB
ejpam-6026	317	22	and	and	CCONJ
ejpam-6026	317	23	becomes	become	VERB
ejpam-6026	317	24	endemic	endemic	ADJ
ejpam-6026	317	25	within	within	ADP
ejpam-6026	317	26	the	the	DET
ejpam-6026	317	27	host	host	NOUN
ejpam-6026	317	28	population	population	NOUN
ejpam-6026	317	29	.	.	PUNCT
ejpam-6026	318	1	additionally	additionally	ADV
ejpam-6026	318	2	,	,	PUNCT
ejpam-6026	318	3	it	it	PRON
ejpam-6026	318	4	is	be	AUX
ejpam-6026	318	5	evident	evident	ADJ
ejpam-6026	318	6	that	that	SCONJ
ejpam-6026	318	7	the	the	DET
ejpam-6026	318	8	net	net	ADJ
ejpam-6026	318	9	reproductive	reproductive	ADJ
ejpam-6026	318	10	ratio	ratio	NOUN
ejpam-6026	318	11	increases	increase	NOUN
ejpam-6026	318	12	proportionally	proportionally	ADV
ejpam-6026	318	13	with	with	ADP
ejpam-6026	318	14	the	the	DET
ejpam-6026	318	15	susceptible	susceptible	ADJ
ejpam-6026	318	16	population	population	NOUN
ejpam-6026	318	17	,	,	PUNCT
ejpam-6026	318	18	s.	s.	PROPN
ejpam-6026	318	19	consequently	consequently	ADV
ejpam-6026	318	20	,	,	PUNCT
ejpam-6026	318	21	if	if	SCONJ
ejpam-6026	318	22	the	the	DET
ejpam-6026	318	23	basic	basic	ADJ
ejpam-6026	318	24	reproductive	reproductive	ADJ
ejpam-6026	318	25	ratio	ratio	NOUN
ejpam-6026	318	26	remains	remain	VERB
ejpam-6026	318	27	below	below	ADP
ejpam-6026	318	28	1	1	NUM
ejpam-6026	318	29	even	even	ADV
ejpam-6026	318	30	at	at	ADP
ejpam-6026	318	31	the	the	DET
ejpam-6026	318	32	maximum	maximum	ADJ
ejpam-6026	318	33	host	host	NOUN
ejpam-6026	318	34	population	population	NOUN
ejpam-6026	318	35	level	level	NOUN
ejpam-6026	318	36	k	k	PROPN
ejpam-6026	318	37	(	(	PUNCT
ejpam-6026	318	38	i.e.	i.e.	X
ejpam-6026	318	39	,	,	PUNCT
ejpam-6026	318	40	λk	λk	ADP
ejpam-6026	318	41	d1	d1	NOUN
ejpam-6026	318	42	<	<	X
ejpam-6026	318	43	1	1	NUM
ejpam-6026	318	44	or	or	CCONJ
ejpam-6026	318	45	λ	λ	X
ejpam-6026	318	46	<	<	X
ejpam-6026	318	47	d1	d1	PROPN
ejpam-6026	318	48	k	k	PROPN
ejpam-6026	318	49	)	)	PUNCT
ejpam-6026	318	50	,	,	PUNCT
ejpam-6026	318	51	the	the	DET
ejpam-6026	318	52	infection	infection	NOUN
ejpam-6026	318	53	is	be	AUX
ejpam-6026	318	54	unable	unable	ADJ
ejpam-6026	318	55	to	to	PART
ejpam-6026	318	56	spread	spread	VERB
ejpam-6026	318	57	within	within	ADP
ejpam-6026	318	58	the	the	DET
ejpam-6026	318	59	host	host	NOUN
ejpam-6026	318	60	population	population	NOUN
ejpam-6026	318	61	.	.	PUNCT
ejpam-6026	319	1	from	from	ADP
ejpam-6026	319	2	a	a	DET
ejpam-6026	319	3	biological	biological	ADJ
ejpam-6026	319	4	perspective	perspective	NOUN
ejpam-6026	319	5	,	,	PUNCT
ejpam-6026	319	6	this	this	PRON
ejpam-6026	319	7	means	mean	VERB
ejpam-6026	319	8	that	that	SCONJ
ejpam-6026	319	9	when	when	SCONJ
ejpam-6026	319	10	both	both	PRON
ejpam-6026	319	11	the	the	DET
ejpam-6026	319	12	infection	infection	NOUN
ejpam-6026	319	13	rate	rate	NOUN
ejpam-6026	319	14	and	and	CCONJ
ejpam-6026	319	15	the	the	DET
ejpam-6026	319	16	rate	rate	NOUN
ejpam-6026	319	17	at	at	ADP
ejpam-6026	319	18	which	which	PRON
ejpam-6026	319	19	susceptible	susceptible	ADJ
ejpam-6026	319	20	prey	prey	NOUN
ejpam-6026	319	21	are	be	AUX
ejpam-6026	319	22	encountered	encounter	VERB
ejpam-6026	319	23	are	be	AUX
ejpam-6026	319	24	sufficiently	sufficiently	ADV
ejpam-6026	319	25	low	low	ADJ
ejpam-6026	319	26	,	,	PUNCT
ejpam-6026	319	27	the	the	DET
ejpam-6026	319	28	infected	infected	ADJ
ejpam-6026	319	29	and	and	CCONJ
ejpam-6026	319	30	predator	predator	NOUN
ejpam-6026	319	31	populations	population	NOUN
ejpam-6026	319	32	can	can	AUX
ejpam-6026	319	33	not	not	PART
ejpam-6026	319	34	persist	persist	VERB
ejpam-6026	319	35	.	.	PUNCT
ejpam-6026	320	1	as	as	ADP
ejpam-6026	320	2	a	a	DET
ejpam-6026	320	3	result	result	NOUN
ejpam-6026	320	4	,	,	PUNCT
ejpam-6026	320	5	the	the	DET
ejpam-6026	320	6	system	system	NOUN
ejpam-6026	320	7	reaches	reach	VERB
ejpam-6026	320	8	an	an	DET
ejpam-6026	320	9	equilibrium	equilibrium	NOUN
ejpam-6026	320	10	where	where	SCONJ
ejpam-6026	320	11	only	only	ADJ
ejpam-6026	320	12	healthy	healthy	ADJ
ejpam-6026	320	13	prey	prey	NOUN
ejpam-6026	320	14	remains	remain	VERB
ejpam-6026	320	15	.	.	PUNCT
ejpam-6026	321	1	to	to	PART
ejpam-6026	321	2	validate	validate	VERB
ejpam-6026	321	3	and	and	CCONJ
ejpam-6026	321	4	illustrate	illustrate	VERB
ejpam-6026	321	5	the	the	DET
ejpam-6026	321	6	observed	observe	VERB
ejpam-6026	321	7	results	result	NOUN
ejpam-6026	321	8	,	,	PUNCT
ejpam-6026	321	9	we	we	PRON
ejpam-6026	321	10	provide	provide	VERB
ejpam-6026	321	11	an	an	DET
ejpam-6026	321	12	example	example	NOUN
ejpam-6026	321	13	using	use	VERB
ejpam-6026	321	14	the	the	DET
ejpam-6026	321	15	following	following	ADJ
ejpam-6026	321	16	fixed	fix	VERB
ejpam-6026	321	17	parameter	parameter	NOUN
ejpam-6026	321	18	values	value	NOUN
ejpam-6026	321	19	:	:	PUNCT
ejpam-6026	322	1	r	r	NOUN
ejpam-6026	322	2	=	=	SYM
ejpam-6026	322	3	4	4	NUM
ejpam-6026	322	4	,	,	PUNCT
ejpam-6026	322	5	k	k	NOUN
ejpam-6026	322	6	=	=	SYM
ejpam-6026	322	7	100	100	NUM
ejpam-6026	322	8	,	,	PUNCT
ejpam-6026	322	9	b	b	NOUN
ejpam-6026	322	10	=	=	SYM
ejpam-6026	322	11	0.8	0.8	NUM
ejpam-6026	322	12	,	,	PUNCT
ejpam-6026	322	13	c	c	NOUN
ejpam-6026	322	14	=	=	SYM
ejpam-6026	322	15	20	20	NUM
ejpam-6026	322	16	,	,	PUNCT
ejpam-6026	322	17	a1	a1	NOUN
ejpam-6026	322	18	=	=	SYM
ejpam-6026	322	19	−0.1	−0.1	PROPN
ejpam-6026	322	20	,	,	PUNCT
ejpam-6026	322	21	a2	a2	PROPN
ejpam-6026	322	22	=	=	NOUN
ejpam-6026	322	23	0.01	0.01	NUM
ejpam-6026	322	24	,	,	PUNCT
ejpam-6026	322	25	γ	γ	X
ejpam-6026	322	26	=	=	NOUN
ejpam-6026	322	27	0.06	0.06	NUM
ejpam-6026	322	28	,	,	PUNCT
ejpam-6026	322	29	d1	d1	PROPN
ejpam-6026	322	30	=	=	PUNCT
ejpam-6026	322	31	0.2	0.2	NUM
ejpam-6026	322	32	,	,	PUNCT
ejpam-6026	322	33	m	m	VERB
ejpam-6026	322	34	=	=	ADJ
ejpam-6026	322	35	0.6	0.6	NUM
ejpam-6026	322	36	,	,	PUNCT
ejpam-6026	322	37	d2	d2	PROPN
ejpam-6026	322	38	=	=	SYM
ejpam-6026	322	39	0.1	0.1	NUM
ejpam-6026	322	40	,	,	PUNCT
ejpam-6026	322	41	(	(	PUNCT
ejpam-6026	322	42	28	28	NUM
ejpam-6026	322	43	)	)	PUNCT
ejpam-6026	322	44	while	while	SCONJ
ejpam-6026	322	45	varying	vary	VERB
ejpam-6026	322	46	only	only	ADV
ejpam-6026	322	47	one	one	NUM
ejpam-6026	322	48	ecological	ecological	ADJ
ejpam-6026	322	49	parameter	parameter	NOUN
ejpam-6026	322	50	,	,	PUNCT
ejpam-6026	322	51	α	α	NOUN
ejpam-6026	322	52	,	,	PUNCT
ejpam-6026	322	53	and	and	CCONJ
ejpam-6026	322	54	one	one	NUM
ejpam-6026	322	55	epidemiological	epidemiological	ADJ
ejpam-6026	322	56	parameter	parameter	NOUN
ejpam-6026	322	57	λ	λ	PROPN
ejpam-6026	322	58	.	.	PROPN
ejpam-6026	322	59	based	base	VERB
ejpam-6026	322	60	on	on	ADP
ejpam-6026	322	61	the	the	DET
ejpam-6026	322	62	specified	specified	ADJ
ejpam-6026	322	63	parameter	parameter	NOUN
ejpam-6026	322	64	values	value	NOUN
ejpam-6026	322	65	,	,	PUNCT
ejpam-6026	322	66	it	it	PRON
ejpam-6026	322	67	is	be	AUX
ejpam-6026	322	68	evident	evident	ADJ
ejpam-6026	322	69	that	that	SCONJ
ejpam-6026	322	70	the	the	DET
ejpam-6026	322	71	equilibrium	equilibrium	NOUN
ejpam-6026	322	72	e1	e1	PROPN
ejpam-6026	322	73	remains	remain	VERB
ejpam-6026	322	74	k.	k.	PROPN
ejpam-6026	322	75	a.	a.	PROPN
ejpam-6026	322	76	hassan	hassan	PROPN
ejpam-6026	322	77	/	/	SYM
ejpam-6026	322	78	eur	eur	PROPN
ejpam-6026	322	79	.	.	PUNCT
ejpam-6026	323	1	j.	j.	PROPN
ejpam-6026	323	2	pure	pure	PROPN
ejpam-6026	323	3	appl	appl	PROPN
ejpam-6026	323	4	.	.	PROPN
ejpam-6026	323	5	math	math	PROPN
ejpam-6026	323	6	,	,	PUNCT
ejpam-6026	323	7	18	18	NUM
ejpam-6026	323	8	(	(	PUNCT
ejpam-6026	323	9	2	2	NUM
ejpam-6026	323	10	)	)	PUNCT
ejpam-6026	323	11	(	(	PUNCT
ejpam-6026	323	12	2025	2025	NUM
ejpam-6026	323	13	)	)	PUNCT
ejpam-6026	323	14	,	,	PUNCT
ejpam-6026	323	15	6026	6026	NUM
ejpam-6026	323	16	16	16	NUM
ejpam-6026	323	17	of	of	ADP
ejpam-6026	323	18	20	20	NUM
ejpam-6026	323	19	stable	stable	ADJ
ejpam-6026	323	20	when	when	SCONJ
ejpam-6026	323	21	α	α	PROPN
ejpam-6026	323	22	is	be	AUX
ejpam-6026	323	23	below	below	ADP
ejpam-6026	323	24	0.2	0.2	NUM
ejpam-6026	323	25	for	for	ADP
ejpam-6026	323	26	the	the	DET
ejpam-6026	323	27	beddington	beddington	PROPN
ejpam-6026	323	28	-	-	PUNCT
ejpam-6026	323	29	deangelis	deangelis	PROPN
ejpam-6026	323	30	functional	functional	ADJ
ejpam-6026	323	31	response	response	NOUN
ejpam-6026	323	32	and	and	CCONJ
ejpam-6026	323	33	below	below	ADP
ejpam-6026	323	34	0.151667	0.151667	NUM
ejpam-6026	323	35	for	for	ADP
ejpam-6026	323	36	the	the	DET
ejpam-6026	323	37	holling	holle	VERB
ejpam-6026	323	38	type	type	NOUN
ejpam-6026	323	39	iv	iv	ADP
ejpam-6026	323	40	functional	functional	ADJ
ejpam-6026	323	41	response	response	NOUN
ejpam-6026	323	42	,	,	PUNCT
ejpam-6026	323	43	provided	provide	VERB
ejpam-6026	323	44	that	that	SCONJ
ejpam-6026	323	45	λ	λ	PROPN
ejpam-6026	323	46	<	<	X
ejpam-6026	323	47	0.002	0.002	NUM
ejpam-6026	323	48	.	.	PUNCT
ejpam-6026	324	1	by	by	ADP
ejpam-6026	324	2	setting	set	VERB
ejpam-6026	324	3	λ	λ	PROPN
ejpam-6026	324	4	=	=	SYM
ejpam-6026	324	5	0.001	0.001	NUM
ejpam-6026	324	6	and	and	CCONJ
ejpam-6026	324	7	selecting	select	VERB
ejpam-6026	324	8	α	α	NOUN
ejpam-6026	324	9	=	=	NOUN
ejpam-6026	324	10	0.15	0.15	NUM
ejpam-6026	324	11	for	for	ADP
ejpam-6026	324	12	beddington	beddington	PROPN
ejpam-6026	324	13	-	-	PUNCT
ejpam-6026	324	14	deangelis	deangelis	PROPN
ejpam-6026	324	15	and	and	CCONJ
ejpam-6026	324	16	α	α	NOUN
ejpam-6026	324	17	=	=	NOUN
ejpam-6026	324	18	0.1	0.1	NUM
ejpam-6026	324	19	for	for	ADP
ejpam-6026	324	20	holling	holle	VERB
ejpam-6026	324	21	type	type	NOUN
ejpam-6026	324	22	iv	iv	NUM
ejpam-6026	324	23	,	,	PUNCT
ejpam-6026	324	24	we	we	PRON
ejpam-6026	324	25	observe	observe	VERB
ejpam-6026	324	26	that	that	SCONJ
ejpam-6026	324	27	all	all	DET
ejpam-6026	324	28	trajectories	trajectory	NOUN
ejpam-6026	324	29	originating	originate	VERB
ejpam-6026	324	30	from	from	ADP
ejpam-6026	324	31	the	the	DET
ejpam-6026	324	32	initial	initial	ADJ
ejpam-6026	324	33	condition	condition	NOUN
ejpam-6026	324	34	(	(	PUNCT
ejpam-6026	324	35	50	50	NUM
ejpam-6026	324	36	,	,	PUNCT
ejpam-6026	324	37	50	50	NUM
ejpam-6026	324	38	,	,	PUNCT
ejpam-6026	324	39	50	50	NUM
ejpam-6026	324	40	)	)	PUNCT
ejpam-6026	324	41	converge	converge	VERB
ejpam-6026	324	42	to	to	ADP
ejpam-6026	324	43	the	the	DET
ejpam-6026	324	44	equilibrium	equilibrium	NOUN
ejpam-6026	324	45	point	point	NOUN
ejpam-6026	324	46	where	where	SCONJ
ejpam-6026	324	47	the	the	DET
ejpam-6026	324	48	susceptible	susceptible	ADJ
ejpam-6026	324	49	prey	prey	NOUN
ejpam-6026	324	50	population	population	NOUN
ejpam-6026	324	51	s	s	VERB
ejpam-6026	324	52	persists	persist	VERB
ejpam-6026	324	53	as	as	ADP
ejpam-6026	324	54	a	a	DET
ejpam-6026	324	55	stable	stable	ADJ
ejpam-6026	324	56	equilibrium	equilibrium	NOUN
ejpam-6026	324	57	.	.	PUNCT
ejpam-6026	325	1	this	this	DET
ejpam-6026	325	2	convergence	convergence	NOUN
ejpam-6026	325	3	demonstrates	demonstrate	VERB
ejpam-6026	325	4	that	that	SCONJ
ejpam-6026	325	5	e1	e1	NOUN
ejpam-6026	325	6	is	be	AUX
ejpam-6026	325	7	globally	globally	ADV
ejpam-6026	325	8	asymptotically	asymptotically	ADV
ejpam-6026	325	9	stable	stable	ADJ
ejpam-6026	325	10	for	for	ADP
ejpam-6026	325	11	both	both	CCONJ
ejpam-6026	325	12	functional	functional	ADJ
ejpam-6026	325	13	responses	response	NOUN
ejpam-6026	325	14	.	.	PUNCT
ejpam-6026	326	1	naturally	naturally	ADV
ejpam-6026	326	2	,	,	PUNCT
ejpam-6026	326	3	in	in	ADP
ejpam-6026	326	4	the	the	DET
ejpam-6026	326	5	absence	absence	NOUN
ejpam-6026	326	6	of	of	ADP
ejpam-6026	326	7	both	both	DET
ejpam-6026	326	8	predation	predation	NOUN
ejpam-6026	326	9	and	and	CCONJ
ejpam-6026	326	10	infection	infection	NOUN
ejpam-6026	326	11	,	,	PUNCT
ejpam-6026	326	12	the	the	DET
ejpam-6026	326	13	equilibrium	equilibrium	NOUN
ejpam-6026	326	14	density	density	NOUN
ejpam-6026	326	15	of	of	ADP
ejpam-6026	326	16	the	the	DET
ejpam-6026	326	17	susceptible	susceptible	ADJ
ejpam-6026	326	18	population	population	NOUN
ejpam-6026	326	19	asymptotically	asymptotically	ADV
ejpam-6026	326	20	approaches	approach	VERB
ejpam-6026	326	21	its	its	PRON
ejpam-6026	326	22	carrying	carrying	NOUN
ejpam-6026	326	23	capacity	capacity	NOUN
ejpam-6026	326	24	k.	k.	PROPN
ejpam-6026	327	1	the	the	DET
ejpam-6026	327	2	stability	stability	NOUN
ejpam-6026	327	3	of	of	ADP
ejpam-6026	327	4	e1	e1	PROPN
ejpam-6026	327	5	is	be	AUX
ejpam-6026	327	6	further	far	ADV
ejpam-6026	327	7	illustrated	illustrate	VERB
ejpam-6026	327	8	in	in	ADP
ejpam-6026	327	9	figures	figure	NOUN
ejpam-6026	327	10	1	1	NUM
ejpam-6026	327	11	and	and	CCONJ
ejpam-6026	327	12	2	2	NUM
ejpam-6026	327	13	for	for	ADP
ejpam-6026	327	14	the	the	DET
ejpam-6026	327	15	beddington	beddington	PROPN
ejpam-6026	327	16	-	-	PUNCT
ejpam-6026	327	17	deangelis	deangelis	PROPN
ejpam-6026	327	18	and	and	CCONJ
ejpam-6026	327	19	holling	holle	VERB
ejpam-6026	327	20	type	type	NOUN
ejpam-6026	327	21	iv	iv	NUM
ejpam-6026	327	22	functional	functional	ADJ
ejpam-6026	327	23	responses	response	NOUN
ejpam-6026	327	24	,	,	PUNCT
ejpam-6026	327	25	respectively	respectively	ADV
ejpam-6026	327	26	.	.	PUNCT
ejpam-6026	328	1	0	0	NUM
ejpam-6026	329	1	25	25	NUM
ejpam-6026	329	2	50	50	NUM
ejpam-6026	329	3	75	75	NUM
ejpam-6026	329	4	100	100	NUM
ejpam-6026	329	5	125	125	NUM
ejpam-6026	329	6	150	150	NUM
ejpam-6026	329	7	175	175	NUM
ejpam-6026	329	8	200	200	NUM
ejpam-6026	329	9	time	time	NOUN
ejpam-6026	329	10	0	0	NUM
ejpam-6026	329	11	20	20	NUM
ejpam-6026	329	12	40	40	NUM
ejpam-6026	329	13	60	60	NUM
ejpam-6026	329	14	80	80	NUM
ejpam-6026	329	15	100	100	NUM
ejpam-6026	329	16	s	s	NOUN
ejpam-6026	329	17	,	,	PUNCT
ejpam-6026	329	18	i	i	PRON
ejpam-6026	329	19	,	,	PUNCT
ejpam-6026	329	20	p	p	X
ejpam-6026	329	21	s	s	X
ejpam-6026	329	22	i	i	NOUN
ejpam-6026	329	23	p	p	NOUN
ejpam-6026	329	24	50	50	NUM
ejpam-6026	329	25	60	60	NUM
ejpam-6026	329	26	70	70	NUM
ejpam-6026	329	27	80	80	NUM
ejpam-6026	329	28	90	90	NUM
ejpam-6026	329	29	100s	100s	PROPN
ejpam-6026	329	30	0	0	NUM
ejpam-6026	329	31	10	10	NUM
ejpam-6026	329	32	20	20	NUM
ejpam-6026	329	33	30	30	NUM
ejpam-6026	329	34	40	40	NUM
ejpam-6026	329	35	50	50	NUM
ejpam-6026	329	36	i	i	NOUN
ejpam-6026	329	37	0	0	NUM
ejpam-6026	329	38	10	10	NUM
ejpam-6026	329	39	20	20	NUM
ejpam-6026	329	40	30	30	NUM
ejpam-6026	329	41	40	40	NUM
ejpam-6026	329	42	50	50	NUM
ejpam-6026	329	43	p	p	NOUN
ejpam-6026	329	44	figure	figure	NOUN
ejpam-6026	329	45	1	1	NUM
ejpam-6026	329	46	:	:	PUNCT
ejpam-6026	329	47	stability	stability	NOUN
ejpam-6026	329	48	of	of	ADP
ejpam-6026	329	49	e1	e1	PROPN
ejpam-6026	329	50	with	with	ADP
ejpam-6026	329	51	beddington	beddington	PROPN
ejpam-6026	329	52	-	-	PUNCT
ejpam-6026	329	53	deangelis	deangelis	PROPN
ejpam-6026	329	54	functional	functional	ADJ
ejpam-6026	329	55	response	response	NOUN
ejpam-6026	329	56	.	.	PUNCT
ejpam-6026	330	1	for	for	ADP
ejpam-6026	330	2	the	the	DET
ejpam-6026	330	3	specified	specified	ADJ
ejpam-6026	330	4	set	set	NOUN
ejpam-6026	330	5	of	of	ADP
ejpam-6026	330	6	parameter	parameter	NOUN
ejpam-6026	330	7	values	value	NOUN
ejpam-6026	330	8	(	(	PUNCT
ejpam-6026	330	9	28	28	NUM
ejpam-6026	330	10	)	)	PUNCT
ejpam-6026	330	11	,	,	PUNCT
ejpam-6026	330	12	it	it	PRON
ejpam-6026	330	13	is	be	AUX
ejpam-6026	330	14	observed	observe	VERB
ejpam-6026	330	15	that	that	SCONJ
ejpam-6026	330	16	the	the	DET
ejpam-6026	330	17	stability	stability	NOUN
ejpam-6026	330	18	of	of	ADP
ejpam-6026	330	19	the	the	DET
ejpam-6026	330	20	equilibrium	equilibrium	NOUN
ejpam-6026	330	21	e2	e2	PROPN
ejpam-6026	330	22	requires	require	VERB
ejpam-6026	330	23	the	the	DET
ejpam-6026	330	24	value	value	NOUN
ejpam-6026	330	25	of	of	ADP
ejpam-6026	330	26	λ	λ	PROPN
ejpam-6026	330	27	to	to	PART
ejpam-6026	330	28	exceed	exceed	VERB
ejpam-6026	330	29	0.002	0.002	NUM
ejpam-6026	330	30	.	.	PUNCT
ejpam-6026	331	1	by	by	ADP
ejpam-6026	331	2	selecting	select	VERB
ejpam-6026	331	3	λ	λ	PROPN
ejpam-6026	331	4	=	=	SYM
ejpam-6026	331	5	0.008	0.008	NUM
ejpam-6026	331	6	,	,	PUNCT
ejpam-6026	331	7	it	it	PRON
ejpam-6026	331	8	is	be	AUX
ejpam-6026	331	9	further	far	ADV
ejpam-6026	331	10	determined	determine	VERB
ejpam-6026	331	11	that	that	SCONJ
ejpam-6026	331	12	α	α	PRON
ejpam-6026	331	13	must	must	AUX
ejpam-6026	331	14	remain	remain	VERB
ejpam-6026	331	15	below	below	ADP
ejpam-6026	331	16	0.75	0.75	NUM
ejpam-6026	331	17	for	for	ADP
ejpam-6026	331	18	the	the	DET
ejpam-6026	331	19	beddington	beddington	PROPN
ejpam-6026	331	20	-	-	PUNCT
ejpam-6026	331	21	deangelis	deangelis	PROPN
ejpam-6026	331	22	functional	functional	ADJ
ejpam-6026	331	23	response	response	NOUN
ejpam-6026	331	24	and	and	CCONJ
ejpam-6026	331	25	below	below	ADP
ejpam-6026	331	26	0.00633	0.00633	NUM
ejpam-6026	331	27	for	for	ADP
ejpam-6026	331	28	the	the	DET
ejpam-6026	331	29	holling	holle	VERB
ejpam-6026	331	30	type	type	NOUN
ejpam-6026	331	31	iv	iv	ADP
ejpam-6026	331	32	functional	functional	ADJ
ejpam-6026	331	33	response	response	NOUN
ejpam-6026	331	34	.	.	PUNCT
ejpam-6026	332	1	consequently	consequently	ADV
ejpam-6026	332	2	,	,	PUNCT
ejpam-6026	332	3	with	with	ADP
ejpam-6026	332	4	λ	λ	PROPN
ejpam-6026	332	5	=	=	NOUN
ejpam-6026	332	6	0.008	0.008	NUM
ejpam-6026	332	7	and	and	CCONJ
ejpam-6026	332	8	α	α	NOUN
ejpam-6026	332	9	set	set	VERB
ejpam-6026	332	10	to	to	ADP
ejpam-6026	332	11	0.7	0.7	NUM
ejpam-6026	332	12	and	and	CCONJ
ejpam-6026	332	13	0.006	0.006	NUM
ejpam-6026	332	14	for	for	ADP
ejpam-6026	332	15	the	the	DET
ejpam-6026	332	16	beddington	beddington	PROPN
ejpam-6026	332	17	-	-	PUNCT
ejpam-6026	332	18	deangelis	deangelis	PROPN
ejpam-6026	332	19	and	and	CCONJ
ejpam-6026	332	20	holling	holle	VERB
ejpam-6026	332	21	type	type	NOUN
ejpam-6026	332	22	iv	iv	NUM
ejpam-6026	332	23	responses	response	NOUN
ejpam-6026	332	24	,	,	PUNCT
ejpam-6026	332	25	respectively	respectively	ADV
ejpam-6026	332	26	,	,	PUNCT
ejpam-6026	332	27	all	all	DET
ejpam-6026	332	28	trajectories	trajectory	NOUN
ejpam-6026	332	29	originating	originate	VERB
ejpam-6026	332	30	from	from	ADP
ejpam-6026	332	31	the	the	DET
ejpam-6026	332	32	initial	initial	ADJ
ejpam-6026	332	33	condition	condition	NOUN
ejpam-6026	332	34	(	(	PUNCT
ejpam-6026	332	35	50	50	NUM
ejpam-6026	332	36	,	,	PUNCT
ejpam-6026	332	37	50	50	NUM
ejpam-6026	332	38	,	,	PUNCT
ejpam-6026	332	39	50	50	NUM
ejpam-6026	332	40	)	)	PUNCT
ejpam-6026	332	41	converge	converge	VERB
ejpam-6026	332	42	to	to	ADP
ejpam-6026	332	43	the	the	DET
ejpam-6026	332	44	predator	predator	NOUN
ejpam-6026	332	45	-	-	PUNCT
ejpam-6026	332	46	free	free	ADJ
ejpam-6026	332	47	equilibrium	equilibrium	NOUN
ejpam-6026	332	48	e2	e2	PROPN
ejpam-6026	332	49	.	.	PUNCT
ejpam-6026	333	1	at	at	ADP
ejpam-6026	333	2	this	this	DET
ejpam-6026	333	3	equilibrium	equilibrium	NOUN
ejpam-6026	333	4	,	,	PUNCT
ejpam-6026	333	5	the	the	DET
ejpam-6026	333	6	susceptible	susceptible	ADJ
ejpam-6026	333	7	and	and	CCONJ
ejpam-6026	333	8	infected	infected	ADJ
ejpam-6026	333	9	prey	prey	NOUN
ejpam-6026	333	10	populations	population	NOUN
ejpam-6026	333	11	coexist	coexist	VERB
ejpam-6026	333	12	in	in	ADP
ejpam-6026	333	13	a	a	DET
ejpam-6026	333	14	stable	stable	ADJ
ejpam-6026	333	15	state	state	NOUN
ejpam-6026	333	16	.	.	PUNCT
ejpam-6026	334	1	this	this	DET
ejpam-6026	334	2	convergence	convergence	NOUN
ejpam-6026	334	3	demonstrates	demonstrate	VERB
ejpam-6026	334	4	that	that	SCONJ
ejpam-6026	334	5	e2	e2	PROPN
ejpam-6026	334	6	is	be	AUX
ejpam-6026	334	7	globally	globally	ADV
ejpam-6026	334	8	asymptotically	asymptotically	ADV
ejpam-6026	334	9	stable	stable	ADJ
ejpam-6026	334	10	for	for	ADP
ejpam-6026	334	11	both	both	CCONJ
ejpam-6026	334	12	functional	functional	ADJ
ejpam-6026	334	13	responses	response	NOUN
ejpam-6026	334	14	.	.	PUNCT
ejpam-6026	335	1	the	the	DET
ejpam-6026	335	2	stability	stability	NOUN
ejpam-6026	335	3	of	of	ADP
ejpam-6026	335	4	e2	e2	PROPN
ejpam-6026	335	5	is	be	AUX
ejpam-6026	335	6	visually	visually	ADV
ejpam-6026	335	7	confirmed	confirm	VERB
ejpam-6026	335	8	in	in	ADP
ejpam-6026	335	9	figures	figure	NOUN
ejpam-6026	335	10	3	3	NUM
ejpam-6026	335	11	and	and	CCONJ
ejpam-6026	335	12	4	4	NUM
ejpam-6026	335	13	,	,	PUNCT
ejpam-6026	335	14	which	which	PRON
ejpam-6026	335	15	depict	depict	VERB
ejpam-6026	335	16	the	the	DET
ejpam-6026	335	17	dynamics	dynamic	NOUN
ejpam-6026	335	18	for	for	ADP
ejpam-6026	335	19	the	the	DET
ejpam-6026	335	20	beddington	beddington	PROPN
ejpam-6026	335	21	-	-	PUNCT
ejpam-6026	335	22	deangelis	deangelis	PROPN
ejpam-6026	335	23	and	and	CCONJ
ejpam-6026	335	24	holling	holle	VERB
ejpam-6026	335	25	type	type	NOUN
ejpam-6026	335	26	iv	iv	NUM
ejpam-6026	335	27	functional	functional	ADJ
ejpam-6026	335	28	responses	response	NOUN
ejpam-6026	335	29	,	,	PUNCT
ejpam-6026	335	30	respectively	respectively	ADV
ejpam-6026	335	31	.	.	PUNCT
ejpam-6026	336	1	in	in	ADP
ejpam-6026	336	2	the	the	DET
ejpam-6026	336	3	case	case	NOUN
ejpam-6026	336	4	of	of	ADP
ejpam-6026	336	5	a	a	DET
ejpam-6026	336	6	lower	low	ADJ
ejpam-6026	336	7	infection	infection	NOUN
ejpam-6026	336	8	rate	rate	NOUN
ejpam-6026	336	9	,	,	PUNCT
ejpam-6026	336	10	it	it	PRON
ejpam-6026	336	11	is	be	AUX
ejpam-6026	336	12	observed	observe	VERB
ejpam-6026	336	13	that	that	SCONJ
ejpam-6026	336	14	the	the	DET
ejpam-6026	336	15	stability	stability	NOUN
ejpam-6026	336	16	of	of	ADP
ejpam-6026	336	17	the	the	DET
ejpam-6026	336	18	equilibrium	equilibrium	NOUN
ejpam-6026	336	19	e3	e3	NOUN
ejpam-6026	336	20	requires	require	VERB
ejpam-6026	336	21	the	the	DET
ejpam-6026	336	22	value	value	NOUN
ejpam-6026	336	23	of	of	ADP
ejpam-6026	336	24	λ	λ	PROPN
ejpam-6026	336	25	to	to	PART
ejpam-6026	336	26	be	be	AUX
ejpam-6026	336	27	less	less	ADJ
ejpam-6026	336	28	than	than	ADP
ejpam-6026	336	29	0.002	0.002	NUM
ejpam-6026	336	30	.	.	PUNCT
ejpam-6026	337	1	by	by	ADP
ejpam-6026	337	2	selecting	select	VERB
ejpam-6026	337	3	λ	λ	X
ejpam-6026	337	4	=	=	SYM
ejpam-6026	337	5	0.001	0.001	NUM
ejpam-6026	337	6	,	,	PUNCT
ejpam-6026	337	7	it	it	PRON
ejpam-6026	337	8	is	be	AUX
ejpam-6026	337	9	further	far	ADV
ejpam-6026	337	10	determined	determine	VERB
ejpam-6026	337	11	that	that	SCONJ
ejpam-6026	337	12	α	α	PRON
ejpam-6026	337	13	should	should	AUX
ejpam-6026	337	14	lie	lie	VERB
ejpam-6026	337	15	within	within	ADP
ejpam-6026	337	16	the	the	DET
ejpam-6026	337	17	interval	interval	NOUN
ejpam-6026	337	18	(	(	PUNCT
ejpam-6026	337	19	0.1666	0.1666	NUM
ejpam-6026	337	20	,	,	PUNCT
ejpam-6026	337	21	283	283	NUM
ejpam-6026	337	22	)	)	PUNCT
ejpam-6026	337	23	for	for	ADP
ejpam-6026	337	24	the	the	DET
ejpam-6026	337	25	beddington	beddington	PROPN
ejpam-6026	337	26	-	-	PUNCT
ejpam-6026	337	27	deangelis	deangelis	PROPN
ejpam-6026	337	28	functional	functional	ADJ
ejpam-6026	337	29	response	response	NOUN
ejpam-6026	337	30	and	and	CCONJ
ejpam-6026	337	31	be	be	AUX
ejpam-6026	337	32	less	less	ADJ
ejpam-6026	337	33	than	than	ADP
ejpam-6026	337	34	866	866	NUM
ejpam-6026	337	35	for	for	ADP
ejpam-6026	337	36	the	the	DET
ejpam-6026	337	37	holling	holle	VERB
ejpam-6026	337	38	type	type	NOUN
ejpam-6026	337	39	iv	iv	ADP
ejpam-6026	337	40	functional	functional	ADJ
ejpam-6026	337	41	response	response	NOUN
ejpam-6026	337	42	.	.	PUNCT
ejpam-6026	338	1	k.	k.	PROPN
ejpam-6026	338	2	a.	a.	PROPN
ejpam-6026	338	3	hassan	hassan	PROPN
ejpam-6026	338	4	/	/	SYM
ejpam-6026	338	5	eur	eur	PROPN
ejpam-6026	338	6	.	.	PUNCT
ejpam-6026	339	1	j.	j.	PROPN
ejpam-6026	339	2	pure	pure	PROPN
ejpam-6026	339	3	appl	appl	PROPN
ejpam-6026	339	4	.	.	PROPN
ejpam-6026	339	5	math	math	PROPN
ejpam-6026	339	6	,	,	PUNCT
ejpam-6026	339	7	18	18	NUM
ejpam-6026	339	8	(	(	PUNCT
ejpam-6026	339	9	2	2	NUM
ejpam-6026	339	10	)	)	PUNCT
ejpam-6026	339	11	(	(	PUNCT
ejpam-6026	339	12	2025	2025	NUM
ejpam-6026	339	13	)	)	PUNCT
ejpam-6026	339	14	,	,	PUNCT
ejpam-6026	339	15	6026	6026	NUM
ejpam-6026	339	16	17	17	NUM
ejpam-6026	339	17	of	of	ADP
ejpam-6026	339	18	20	20	NUM
ejpam-6026	339	19	0	0	NUM
ejpam-6026	339	20	25	25	NUM
ejpam-6026	339	21	50	50	NUM
ejpam-6026	339	22	75	75	NUM
ejpam-6026	339	23	100	100	NUM
ejpam-6026	339	24	125	125	NUM
ejpam-6026	339	25	150	150	NUM
ejpam-6026	339	26	175	175	NUM
ejpam-6026	339	27	200	200	NUM
ejpam-6026	339	28	time	time	NOUN
ejpam-6026	339	29	0	0	NUM
ejpam-6026	339	30	20	20	NUM
ejpam-6026	339	31	40	40	NUM
ejpam-6026	339	32	60	60	NUM
ejpam-6026	339	33	80	80	NUM
ejpam-6026	339	34	100	100	NUM
ejpam-6026	339	35	s	s	NOUN
ejpam-6026	339	36	,	,	PUNCT
ejpam-6026	339	37	i	i	PRON
ejpam-6026	339	38	,	,	PUNCT
ejpam-6026	339	39	p	p	X
ejpam-6026	339	40	s	s	X
ejpam-6026	340	1	i	i	NOUN
ejpam-6026	340	2	p	p	NOUN
ejpam-6026	340	3	50	50	NUM
ejpam-6026	340	4	60	60	NUM
ejpam-6026	340	5	70	70	NUM
ejpam-6026	340	6	80	80	NUM
ejpam-6026	340	7	90	90	NUM
ejpam-6026	340	8	100s	100s	PROPN
ejpam-6026	340	9	0	0	NUM
ejpam-6026	340	10	10	10	NUM
ejpam-6026	340	11	20	20	NUM
ejpam-6026	340	12	30	30	NUM
ejpam-6026	340	13	40	40	NUM
ejpam-6026	340	14	50	50	NUM
ejpam-6026	340	15	i	i	NOUN
ejpam-6026	340	16	0	0	NUM
ejpam-6026	340	17	10	10	NUM
ejpam-6026	340	18	20	20	NUM
ejpam-6026	340	19	30	30	NUM
ejpam-6026	340	20	40	40	NUM
ejpam-6026	340	21	50	50	NUM
ejpam-6026	340	22	p	p	NOUN
ejpam-6026	340	23	figure	figure	NOUN
ejpam-6026	340	24	2	2	NUM
ejpam-6026	340	25	:	:	PUNCT
ejpam-6026	340	26	stability	stability	NOUN
ejpam-6026	340	27	of	of	ADP
ejpam-6026	340	28	e1	e1	PROPN
ejpam-6026	340	29	with	with	ADP
ejpam-6026	340	30	holling	holle	VERB
ejpam-6026	340	31	-	-	PUNCT
ejpam-6026	340	32	type	type	NOUN
ejpam-6026	340	33	iv	iv	NUM
ejpam-6026	340	34	functional	functional	ADJ
ejpam-6026	340	35	response	response	NOUN
ejpam-6026	340	36	.	.	PUNCT
ejpam-6026	341	1	0	0	NUM
ejpam-6026	341	2	25	25	NUM
ejpam-6026	341	3	50	50	NUM
ejpam-6026	341	4	75	75	NUM
ejpam-6026	341	5	100	100	NUM
ejpam-6026	341	6	125	125	NUM
ejpam-6026	341	7	150	150	NUM
ejpam-6026	341	8	175	175	NUM
ejpam-6026	341	9	200	200	NUM
ejpam-6026	341	10	time	time	NOUN
ejpam-6026	341	11	0	0	NUM
ejpam-6026	341	12	10	10	NUM
ejpam-6026	341	13	20	20	NUM
ejpam-6026	341	14	30	30	NUM
ejpam-6026	341	15	40	40	NUM
ejpam-6026	341	16	50	50	NUM
ejpam-6026	341	17	60	60	NUM
ejpam-6026	341	18	70	70	NUM
ejpam-6026	341	19	s	s	NOUN
ejpam-6026	341	20	,	,	PUNCT
ejpam-6026	341	21	i	i	PRON
ejpam-6026	341	22	,	,	PUNCT
ejpam-6026	341	23	p	p	X
ejpam-6026	341	24	s	s	X
ejpam-6026	342	1	i	i	NOUN
ejpam-6026	342	2	p	p	NOUN
ejpam-6026	342	3	30	30	NUM
ejpam-6026	342	4	40	40	NUM
ejpam-6026	342	5	50	50	NUM
ejpam-6026	342	6	60	60	NUM
ejpam-6026	342	7	70s	70	NOUN
ejpam-6026	342	8	20	20	NUM
ejpam-6026	342	9	30	30	NUM
ejpam-6026	342	10	40	40	NUM
ejpam-6026	342	11	50	50	NUM
ejpam-6026	342	12	60	60	NUM
ejpam-6026	343	1	i	i	PRON
ejpam-6026	343	2	0	0	NUM
ejpam-6026	343	3	5	5	NUM
ejpam-6026	343	4	10	10	NUM
ejpam-6026	343	5	15	15	NUM
ejpam-6026	343	6	20	20	NUM
ejpam-6026	343	7	25	25	NUM
ejpam-6026	343	8	p	p	NOUN
ejpam-6026	343	9	figure	figure	NOUN
ejpam-6026	343	10	3	3	NUM
ejpam-6026	343	11	:	:	PUNCT
ejpam-6026	343	12	stability	stability	NOUN
ejpam-6026	343	13	of	of	ADP
ejpam-6026	343	14	e2	e2	PROPN
ejpam-6026	343	15	with	with	ADP
ejpam-6026	343	16	beddington	beddington	PROPN
ejpam-6026	343	17	-	-	PUNCT
ejpam-6026	343	18	deangelis	deangelis	PROPN
ejpam-6026	343	19	functional	functional	ADJ
ejpam-6026	343	20	response	response	NOUN
ejpam-6026	343	21	.	.	PUNCT
ejpam-6026	344	1	consequently	consequently	ADV
ejpam-6026	344	2	,	,	PUNCT
ejpam-6026	344	3	with	with	ADP
ejpam-6026	344	4	λ	λ	PROPN
ejpam-6026	344	5	=	=	SYM
ejpam-6026	344	6	0.001	0.001	NUM
ejpam-6026	344	7	and	and	CCONJ
ejpam-6026	344	8	α	α	NOUN
ejpam-6026	344	9	=	=	ADJ
ejpam-6026	344	10	0.3	0.3	NUM
ejpam-6026	344	11	,	,	PUNCT
ejpam-6026	344	12	all	all	DET
ejpam-6026	344	13	trajectories	trajectory	NOUN
ejpam-6026	344	14	converge	converge	VERB
ejpam-6026	344	15	to	to	ADP
ejpam-6026	344	16	the	the	DET
ejpam-6026	344	17	disease	disease	NOUN
ejpam-6026	344	18	-	-	PUNCT
ejpam-6026	344	19	free	free	ADJ
ejpam-6026	344	20	equilibrium	equilibrium	NOUN
ejpam-6026	344	21	e3	e3	NOUN
ejpam-6026	344	22	,	,	PUNCT
ejpam-6026	344	23	where	where	SCONJ
ejpam-6026	344	24	the	the	DET
ejpam-6026	344	25	susceptible	susceptible	ADJ
ejpam-6026	344	26	prey	prey	NOUN
ejpam-6026	344	27	and	and	CCONJ
ejpam-6026	344	28	predator	predator	NOUN
ejpam-6026	344	29	populations	population	NOUN
ejpam-6026	344	30	coexist	coexist	VERB
ejpam-6026	344	31	in	in	ADP
ejpam-6026	344	32	a	a	DET
ejpam-6026	344	33	stable	stable	ADJ
ejpam-6026	344	34	state	state	NOUN
ejpam-6026	344	35	.	.	PUNCT
ejpam-6026	345	1	this	this	PRON
ejpam-6026	345	2	demonstrates	demonstrate	VERB
ejpam-6026	345	3	that	that	SCONJ
ejpam-6026	345	4	e3	e3	NOUN
ejpam-6026	345	5	is	be	AUX
ejpam-6026	345	6	globally	globally	ADV
ejpam-6026	345	7	asymptotically	asymptotically	ADV
ejpam-6026	345	8	stable	stable	ADJ
ejpam-6026	345	9	for	for	ADP
ejpam-6026	345	10	both	both	CCONJ
ejpam-6026	345	11	functional	functional	ADJ
ejpam-6026	345	12	responses	response	NOUN
ejpam-6026	345	13	under	under	ADP
ejpam-6026	345	14	the	the	DET
ejpam-6026	345	15	same	same	ADJ
ejpam-6026	345	16	infection	infection	NOUN
ejpam-6026	345	17	and	and	CCONJ
ejpam-6026	345	18	attack	attack	NOUN
ejpam-6026	345	19	rates	rate	NOUN
ejpam-6026	345	20	.	.	PUNCT
ejpam-6026	346	1	the	the	DET
ejpam-6026	346	2	stability	stability	NOUN
ejpam-6026	346	3	of	of	ADP
ejpam-6026	346	4	e3	e3	NOUN
ejpam-6026	346	5	is	be	AUX
ejpam-6026	346	6	illustrated	illustrate	VERB
ejpam-6026	346	7	in	in	ADP
ejpam-6026	346	8	figures	figure	NOUN
ejpam-6026	346	9	5	5	NUM
ejpam-6026	346	10	and	and	CCONJ
ejpam-6026	346	11	6	6	NUM
ejpam-6026	346	12	,	,	PUNCT
ejpam-6026	346	13	which	which	PRON
ejpam-6026	346	14	depict	depict	VERB
ejpam-6026	346	15	the	the	DET
ejpam-6026	346	16	dynamics	dynamic	NOUN
ejpam-6026	346	17	for	for	ADP
ejpam-6026	346	18	the	the	DET
ejpam-6026	346	19	beddington	beddington	PROPN
ejpam-6026	346	20	-	-	PUNCT
ejpam-6026	346	21	deangelis	deangelis	PROPN
ejpam-6026	346	22	and	and	CCONJ
ejpam-6026	346	23	holling	holle	VERB
ejpam-6026	346	24	type	type	NOUN
ejpam-6026	346	25	iv	iv	NUM
ejpam-6026	346	26	functional	functional	ADJ
ejpam-6026	346	27	responses	response	NOUN
ejpam-6026	346	28	,	,	PUNCT
ejpam-6026	346	29	respectively	respectively	ADV
ejpam-6026	346	30	.	.	PUNCT
ejpam-6026	347	1	for	for	ADP
ejpam-6026	347	2	both	both	DET
ejpam-6026	347	3	functional	functional	ADJ
ejpam-6026	347	4	responses	response	NOUN
ejpam-6026	347	5	,	,	PUNCT
ejpam-6026	347	6	it	it	PRON
ejpam-6026	347	7	is	be	AUX
ejpam-6026	347	8	evident	evident	ADJ
ejpam-6026	347	9	that	that	SCONJ
ejpam-6026	347	10	the	the	DET
ejpam-6026	347	11	interior	interior	ADJ
ejpam-6026	347	12	equilibrium	equilibrium	NOUN
ejpam-6026	347	13	,	,	PUNCT
ejpam-6026	347	14	representing	represent	VERB
ejpam-6026	347	15	the	the	DET
ejpam-6026	347	16	coexistence	coexistence	NOUN
ejpam-6026	347	17	of	of	ADP
ejpam-6026	347	18	all	all	DET
ejpam-6026	347	19	three	three	NUM
ejpam-6026	347	20	species	specie	NOUN
ejpam-6026	347	21	,	,	PUNCT
ejpam-6026	347	22	remains	remain	VERB
ejpam-6026	347	23	unstable	unstable	ADJ
ejpam-6026	347	24	across	across	ADP
ejpam-6026	347	25	all	all	DET
ejpam-6026	347	26	parameter	parameter	NOUN
ejpam-6026	347	27	values	value	NOUN
ejpam-6026	347	28	.	.	PUNCT
ejpam-6026	348	1	this	this	DET
ejpam-6026	348	2	k.	k.	PROPN
ejpam-6026	348	3	a.	a.	PROPN
ejpam-6026	348	4	hassan	hassan	PROPN
ejpam-6026	348	5	/	/	SYM
ejpam-6026	348	6	eur	eur	PROPN
ejpam-6026	348	7	.	.	PUNCT
ejpam-6026	349	1	j.	j.	PROPN
ejpam-6026	349	2	pure	pure	PROPN
ejpam-6026	349	3	appl	appl	PROPN
ejpam-6026	349	4	.	.	PROPN
ejpam-6026	349	5	math	math	PROPN
ejpam-6026	349	6	,	,	PUNCT
ejpam-6026	349	7	18	18	NUM
ejpam-6026	349	8	(	(	PUNCT
ejpam-6026	349	9	2	2	NUM
ejpam-6026	349	10	)	)	PUNCT
ejpam-6026	349	11	(	(	PUNCT
ejpam-6026	349	12	2025	2025	NUM
ejpam-6026	349	13	)	)	PUNCT
ejpam-6026	349	14	,	,	PUNCT
ejpam-6026	349	15	6026	6026	NUM
ejpam-6026	349	16	18	18	NUM
ejpam-6026	349	17	of	of	ADP
ejpam-6026	349	18	20	20	NUM
ejpam-6026	349	19	0	0	NUM
ejpam-6026	349	20	25	25	NUM
ejpam-6026	349	21	50	50	NUM
ejpam-6026	349	22	75	75	NUM
ejpam-6026	349	23	100	100	NUM
ejpam-6026	349	24	125	125	NUM
ejpam-6026	349	25	150	150	NUM
ejpam-6026	349	26	175	175	NUM
ejpam-6026	349	27	200	200	NUM
ejpam-6026	349	28	time	time	NOUN
ejpam-6026	349	29	0	0	NUM
ejpam-6026	349	30	20	20	NUM
ejpam-6026	349	31	40	40	NUM
ejpam-6026	349	32	60	60	NUM
ejpam-6026	349	33	80	80	NUM
ejpam-6026	349	34	s	s	NOUN
ejpam-6026	349	35	,	,	PUNCT
ejpam-6026	349	36	i	i	PRON
ejpam-6026	349	37	,	,	PUNCT
ejpam-6026	349	38	p	p	X
ejpam-6026	349	39	s	s	X
ejpam-6026	350	1	i	i	NOUN
ejpam-6026	350	2	p	p	NOUN
ejpam-6026	350	3	20	20	NUM
ejpam-6026	350	4	30	30	NUM
ejpam-6026	350	5	40	40	NUM
ejpam-6026	350	6	50	50	NUM
ejpam-6026	350	7	60	60	NUM
ejpam-6026	350	8	70	70	NUM
ejpam-6026	350	9	80	80	NUM
ejpam-6026	350	10	90s	90	NOUN
ejpam-6026	350	11	10	10	NUM
ejpam-6026	350	12	20	20	NUM
ejpam-6026	350	13	30	30	NUM
ejpam-6026	350	14	40	40	NUM
ejpam-6026	350	15	50	50	NUM
ejpam-6026	350	16	60	60	NUM
ejpam-6026	350	17	i	i	PRON
ejpam-6026	350	18	0	0	NUM
ejpam-6026	350	19	10	10	NUM
ejpam-6026	350	20	20	20	NUM
ejpam-6026	350	21	30	30	NUM
ejpam-6026	350	22	40	40	NUM
ejpam-6026	350	23	50	50	NUM
ejpam-6026	350	24	p	p	NOUN
ejpam-6026	350	25	figure	figure	NOUN
ejpam-6026	350	26	4	4	NUM
ejpam-6026	350	27	:	:	PUNCT
ejpam-6026	350	28	stability	stability	NOUN
ejpam-6026	350	29	of	of	ADP
ejpam-6026	350	30	e2	e2	PROPN
ejpam-6026	350	31	with	with	ADP
ejpam-6026	350	32	holling	holle	VERB
ejpam-6026	350	33	-	-	PUNCT
ejpam-6026	350	34	type	type	NOUN
ejpam-6026	350	35	iv	iv	NUM
ejpam-6026	350	36	functional	functional	ADJ
ejpam-6026	350	37	response	response	NOUN
ejpam-6026	350	38	.	.	PUNCT
ejpam-6026	351	1	0	0	NUM
ejpam-6026	352	1	50	50	NUM
ejpam-6026	352	2	100	100	NUM
ejpam-6026	352	3	150	150	NUM
ejpam-6026	352	4	200	200	NUM
ejpam-6026	352	5	250	250	NUM
ejpam-6026	352	6	300	300	NUM
ejpam-6026	352	7	350	350	NUM
ejpam-6026	352	8	400	400	NUM
ejpam-6026	352	9	time	time	NOUN
ejpam-6026	352	10	0	0	NUM
ejpam-6026	352	11	25	25	NUM
ejpam-6026	352	12	50	50	NUM
ejpam-6026	352	13	75	75	NUM
ejpam-6026	352	14	100	100	NUM
ejpam-6026	352	15	125	125	NUM
ejpam-6026	352	16	150	150	NUM
ejpam-6026	352	17	175	175	NUM
ejpam-6026	352	18	s	s	NOUN
ejpam-6026	352	19	,	,	PUNCT
ejpam-6026	352	20	i	i	PRON
ejpam-6026	352	21	,	,	PUNCT
ejpam-6026	352	22	p	p	X
ejpam-6026	352	23	s	s	X
ejpam-6026	352	24	i	i	NOUN
ejpam-6026	352	25	p	p	NOUN
ejpam-6026	352	26	0	0	NUM
ejpam-6026	352	27	10	10	NUM
ejpam-6026	352	28	20	20	NUM
ejpam-6026	352	29	30	30	NUM
ejpam-6026	352	30	40	40	NUM
ejpam-6026	352	31	50s	50	NOUN
ejpam-6026	352	32	0	0	NUM
ejpam-6026	352	33	10	10	NUM
ejpam-6026	352	34	20	20	NUM
ejpam-6026	352	35	30	30	NUM
ejpam-6026	352	36	40	40	NUM
ejpam-6026	352	37	50	50	NUM
ejpam-6026	352	38	i	i	NOUN
ejpam-6026	352	39	40	40	NUM
ejpam-6026	352	40	60	60	NUM
ejpam-6026	352	41	80	80	NUM
ejpam-6026	352	42	100	100	NUM
ejpam-6026	352	43	120	120	NUM
ejpam-6026	352	44	140	140	NUM
ejpam-6026	352	45	160	160	NUM
ejpam-6026	352	46	p	p	NOUN
ejpam-6026	352	47	figure	figure	NOUN
ejpam-6026	352	48	5	5	NUM
ejpam-6026	352	49	:	:	PUNCT
ejpam-6026	352	50	stability	stability	NOUN
ejpam-6026	352	51	of	of	ADP
ejpam-6026	352	52	e3	e3	NOUN
ejpam-6026	352	53	with	with	ADP
ejpam-6026	352	54	beddington	beddington	PROPN
ejpam-6026	352	55	-	-	PUNCT
ejpam-6026	352	56	deangelis	deangelis	PROPN
ejpam-6026	352	57	functional	functional	ADJ
ejpam-6026	352	58	response	response	NOUN
ejpam-6026	352	59	.	.	PUNCT
ejpam-6026	353	1	equilibrium	equilibrium	NOUN
ejpam-6026	353	2	acts	act	VERB
ejpam-6026	353	3	as	as	ADP
ejpam-6026	353	4	a	a	DET
ejpam-6026	353	5	hyperbolic	hyperbolic	ADJ
ejpam-6026	353	6	saddle	saddle	NOUN
ejpam-6026	353	7	point	point	NOUN
ejpam-6026	353	8	.	.	PUNCT
ejpam-6026	354	1	5	5	X
ejpam-6026	354	2	.	.	X
ejpam-6026	354	3	conclusion	conclusion	VERB
ejpam-6026	354	4	the	the	DET
ejpam-6026	354	5	instability	instability	NOUN
ejpam-6026	354	6	of	of	ADP
ejpam-6026	354	7	the	the	DET
ejpam-6026	354	8	interior	interior	ADJ
ejpam-6026	354	9	equilibrium	equilibrium	NOUN
ejpam-6026	354	10	in	in	ADP
ejpam-6026	354	11	an	an	DET
ejpam-6026	354	12	ecological	ecological	ADJ
ejpam-6026	354	13	system	system	NOUN
ejpam-6026	354	14	arises	arise	VERB
ejpam-6026	354	15	from	from	ADP
ejpam-6026	354	16	the	the	DET
ejpam-6026	354	17	detrimental	detrimental	ADJ
ejpam-6026	354	18	effects	effect	NOUN
ejpam-6026	354	19	of	of	ADP
ejpam-6026	354	20	infected	infected	ADJ
ejpam-6026	354	21	prey	prey	NOUN
ejpam-6026	354	22	on	on	ADP
ejpam-6026	354	23	the	the	DET
ejpam-6026	354	24	predator	predator	NOUN
ejpam-6026	354	25	population	population	NOUN
ejpam-6026	354	26	,	,	PUNCT
ejpam-6026	354	27	which	which	PRON
ejpam-6026	354	28	hinders	hinder	VERB
ejpam-6026	354	29	their	their	PRON
ejpam-6026	354	30	coexistence	coexistence	NOUN
ejpam-6026	354	31	.	.	PUNCT
ejpam-6026	355	1	our	our	PRON
ejpam-6026	355	2	model	model	NOUN
ejpam-6026	355	3	demonstrates	demonstrate	VERB
ejpam-6026	355	4	that	that	SCONJ
ejpam-6026	355	5	infection	infection	NOUN
ejpam-6026	355	6	can	can	AUX
ejpam-6026	355	7	disrupt	disrupt	VERB
ejpam-6026	355	8	previously	previously	ADV
ejpam-6026	355	9	stable	stable	ADJ
ejpam-6026	355	10	predatorprey	predatorprey	NOUN
ejpam-6026	355	11	dynamics	dynamic	NOUN
ejpam-6026	355	12	,	,	PUNCT
ejpam-6026	355	13	while	while	SCONJ
ejpam-6026	355	14	predators	predator	NOUN
ejpam-6026	355	15	have	have	VERB
ejpam-6026	355	16	the	the	DET
ejpam-6026	355	17	potential	potential	NOUN
ejpam-6026	355	18	to	to	PART
ejpam-6026	355	19	disrupt	disrupt	VERB
ejpam-6026	355	20	otherwise	otherwise	ADV
ejpam-6026	355	21	stable	stable	ADJ
ejpam-6026	355	22	interactions	interaction	NOUN
ejpam-6026	355	23	between	between	ADP
ejpam-6026	355	24	hosts	host	NOUN
ejpam-6026	355	25	and	and	CCONJ
ejpam-6026	355	26	parasites	parasite	NOUN
ejpam-6026	355	27	.	.	PUNCT
ejpam-6026	356	1	these	these	DET
ejpam-6026	356	2	dynamics	dynamic	NOUN
ejpam-6026	356	3	are	be	AUX
ejpam-6026	356	4	critically	critically	ADV
ejpam-6026	356	5	influenced	influence	VERB
ejpam-6026	356	6	by	by	ADP
ejpam-6026	356	7	the	the	DET
ejpam-6026	356	8	infection	infection	NOUN
ejpam-6026	356	9	k.	k.	PROPN
ejpam-6026	356	10	a.	a.	PROPN
ejpam-6026	356	11	hassan	hassan	PROPN
ejpam-6026	356	12	/	/	SYM
ejpam-6026	356	13	eur	eur	PROPN
ejpam-6026	356	14	.	.	PUNCT
ejpam-6026	357	1	j.	j.	PROPN
ejpam-6026	357	2	pure	pure	PROPN
ejpam-6026	357	3	appl	appl	PROPN
ejpam-6026	357	4	.	.	PROPN
ejpam-6026	357	5	math	math	PROPN
ejpam-6026	357	6	,	,	PUNCT
ejpam-6026	357	7	18	18	NUM
ejpam-6026	357	8	(	(	PUNCT
ejpam-6026	357	9	2	2	NUM
ejpam-6026	357	10	)	)	PUNCT
ejpam-6026	357	11	(	(	PUNCT
ejpam-6026	357	12	2025	2025	NUM
ejpam-6026	357	13	)	)	PUNCT
ejpam-6026	357	14	,	,	PUNCT
ejpam-6026	357	15	6026	6026	NUM
ejpam-6026	357	16	19	19	NUM
ejpam-6026	357	17	of	of	ADP
ejpam-6026	357	18	20	20	NUM
ejpam-6026	357	19	0	0	NUM
ejpam-6026	357	20	50	50	NUM
ejpam-6026	357	21	100	100	NUM
ejpam-6026	357	22	150	150	NUM
ejpam-6026	357	23	200	200	NUM
ejpam-6026	357	24	250	250	NUM
ejpam-6026	357	25	300	300	NUM
ejpam-6026	357	26	350	350	NUM
ejpam-6026	357	27	400	400	NUM
ejpam-6026	357	28	time	time	NOUN
ejpam-6026	357	29	0.0	0.0	NUM
ejpam-6026	357	30	2.5	2.5	NUM
ejpam-6026	357	31	5.0	5.0	NUM
ejpam-6026	357	32	7.5	7.5	NUM
ejpam-6026	357	33	10.0	10.0	NUM
ejpam-6026	357	34	12.5	12.5	NUM
ejpam-6026	357	35	15.0	15.0	NUM
ejpam-6026	357	36	17.5	17.5	NUM
ejpam-6026	357	37	20.0	20.0	NUM
ejpam-6026	357	38	s	s	NOUN
ejpam-6026	357	39	,	,	PUNCT
ejpam-6026	357	40	i	i	PRON
ejpam-6026	357	41	,	,	PUNCT
ejpam-6026	357	42	p	p	X
ejpam-6026	357	43	s	s	X
ejpam-6026	358	1	i	i	NOUN
ejpam-6026	358	2	p	p	NOUN
ejpam-6026	358	3	0	0	NUM
ejpam-6026	358	4	1	1	NUM
ejpam-6026	358	5	2	2	NUM
ejpam-6026	358	6	3	3	NUM
ejpam-6026	358	7	4	4	NUM
ejpam-6026	358	8	5	5	NUM
ejpam-6026	358	9	6	6	NUM
ejpam-6026	358	10	7	7	NUM
ejpam-6026	358	11	8s	8	NOUN
ejpam-6026	358	12	0	0	NUM
ejpam-6026	358	13	1	1	NUM
ejpam-6026	358	14	2	2	NUM
ejpam-6026	358	15	3	3	NUM
ejpam-6026	358	16	4	4	NUM
ejpam-6026	358	17	5	5	NUM
ejpam-6026	358	18	i	i	PRON
ejpam-6026	358	19	6	6	NUM
ejpam-6026	358	20	8	8	NUM
ejpam-6026	358	21	10	10	NUM
ejpam-6026	358	22	12	12	NUM
ejpam-6026	358	23	14	14	NUM
ejpam-6026	358	24	16	16	NUM
ejpam-6026	358	25	18	18	NUM
ejpam-6026	358	26	20	20	NUM
ejpam-6026	358	27	p	p	NOUN
ejpam-6026	358	28	figure	figure	NOUN
ejpam-6026	358	29	6	6	NUM
ejpam-6026	358	30	:	:	PUNCT
ejpam-6026	358	31	stability	stability	NOUN
ejpam-6026	358	32	of	of	ADP
ejpam-6026	358	33	e−	e−	PROPN
ejpam-6026	358	34	3	3	NUM
ejpam-6026	358	35	with	with	ADP
ejpam-6026	358	36	holling	holle	VERB
ejpam-6026	358	37	-	-	PUNCT
ejpam-6026	358	38	type	type	NOUN
ejpam-6026	358	39	iv	iv	NUM
ejpam-6026	358	40	functional	functional	ADJ
ejpam-6026	358	41	response	response	NOUN
ejpam-6026	358	42	.	.	PUNCT
ejpam-6026	359	1	rate	rate	NOUN
ejpam-6026	359	2	and	and	CCONJ
ejpam-6026	359	3	the	the	DET
ejpam-6026	359	4	predator	predator	NOUN
ejpam-6026	359	5	’s	’s	PART
ejpam-6026	359	6	attack	attack	NOUN
ejpam-6026	359	7	rate	rate	NOUN
ejpam-6026	359	8	on	on	ADP
ejpam-6026	359	9	susceptible	susceptible	ADJ
ejpam-6026	359	10	prey	prey	NOUN
ejpam-6026	359	11	.	.	PUNCT
ejpam-6026	360	1	the	the	DET
ejpam-6026	360	2	analysis	analysis	NOUN
ejpam-6026	360	3	demonstrates	demonstrate	VERB
ejpam-6026	360	4	that	that	SCONJ
ejpam-6026	360	5	achieving	achieve	VERB
ejpam-6026	360	6	coexistence	coexistence	NOUN
ejpam-6026	360	7	in	in	ADP
ejpam-6026	360	8	host	host	NOUN
ejpam-6026	360	9	-	-	PUNCT
ejpam-6026	360	10	parasite	parasite	NOUN
ejpam-6026	360	11	-	-	PUNCT
ejpam-6026	360	12	predator	predator	NOUN
ejpam-6026	360	13	systems	system	NOUN
ejpam-6026	360	14	,	,	PUNCT
ejpam-6026	360	15	where	where	SCONJ
ejpam-6026	360	16	prey	prey	NOUN
ejpam-6026	360	17	is	be	AUX
ejpam-6026	360	18	affected	affect	VERB
ejpam-6026	360	19	by	by	ADP
ejpam-6026	360	20	a	a	DET
ejpam-6026	360	21	lethal	lethal	ADJ
ejpam-6026	360	22	disease	disease	NOUN
ejpam-6026	360	23	,	,	PUNCT
ejpam-6026	360	24	is	be	AUX
ejpam-6026	360	25	not	not	PART
ejpam-6026	360	26	feasible	feasible	ADJ
ejpam-6026	360	27	.	.	PUNCT
ejpam-6026	361	1	instead	instead	ADV
ejpam-6026	361	2	,	,	PUNCT
ejpam-6026	361	3	only	only	ADV
ejpam-6026	361	4	specific	specific	ADJ
ejpam-6026	361	5	configurations	configuration	NOUN
ejpam-6026	361	6	such	such	ADJ
ejpam-6026	361	7	as	as	ADP
ejpam-6026	361	8	healthy	healthy	ADJ
ejpam-6026	361	9	,	,	PUNCT
ejpam-6026	361	10	disease	disease	NOUN
ejpam-6026	361	11	-	-	PUNCT
ejpam-6026	361	12	free	free	ADJ
ejpam-6026	361	13	,	,	PUNCT
ejpam-6026	361	14	predator	predator	NOUN
ejpam-6026	361	15	-	-	PUNCT
ejpam-6026	361	16	free	free	ADJ
ejpam-6026	361	17	,	,	PUNCT
ejpam-6026	361	18	or	or	CCONJ
ejpam-6026	361	19	oscillating	oscillate	VERB
ejpam-6026	361	20	disease	disease	NOUN
ejpam-6026	361	21	-	-	PUNCT
ejpam-6026	361	22	free	free	ADJ
ejpam-6026	361	23	systems	system	NOUN
ejpam-6026	361	24	can	can	AUX
ejpam-6026	361	25	be	be	AUX
ejpam-6026	361	26	attained	attain	VERB
ejpam-6026	361	27	by	by	ADP
ejpam-6026	361	28	precisely	precisely	ADV
ejpam-6026	361	29	controlling	control	VERB
ejpam-6026	361	30	these	these	DET
ejpam-6026	361	31	two	two	NUM
ejpam-6026	361	32	critical	critical	ADJ
ejpam-6026	361	33	parameters	parameter	NOUN
ejpam-6026	361	34	.	.	PUNCT
ejpam-6026	362	1	additionally	additionally	ADV
ejpam-6026	362	2	,	,	PUNCT
ejpam-6026	362	3	the	the	DET
ejpam-6026	362	4	biological	biological	ADJ
ejpam-6026	362	5	control	control	NOUN
ejpam-6026	362	6	paradox	paradox	NOUN
ejpam-6026	362	7	is	be	AUX
ejpam-6026	362	8	not	not	PART
ejpam-6026	362	9	inherently	inherently	ADV
ejpam-6026	362	10	present	present	ADJ
ejpam-6026	362	11	in	in	ADP
ejpam-6026	362	12	eco	eco	PROPN
ejpam-6026	362	13	-	-	PUNCT
ejpam-6026	362	14	epidemiological	epidemiological	ADJ
ejpam-6026	362	15	models	model	NOUN
ejpam-6026	362	16	,	,	PUNCT
ejpam-6026	362	17	and	and	CCONJ
ejpam-6026	362	18	our	our	PRON
ejpam-6026	362	19	framework	framework	NOUN
ejpam-6026	362	20	can	can	AUX
ejpam-6026	362	21	be	be	AUX
ejpam-6026	362	22	extended	extend	VERB
ejpam-6026	362	23	to	to	ADP
ejpam-6026	362	24	various	various	ADJ
ejpam-6026	362	25	host	host	NOUN
ejpam-6026	362	26	-	-	PUNCT
ejpam-6026	362	27	parasite	parasite	NOUN
ejpam-6026	362	28	-	-	PUNCT
ejpam-6026	362	29	predator	predator	NOUN
ejpam-6026	362	30	systems	system	NOUN
ejpam-6026	362	31	by	by	ADP
ejpam-6026	362	32	incorporating	incorporate	VERB
ejpam-6026	362	33	different	different	ADJ
ejpam-6026	362	34	functional	functional	ADJ
ejpam-6026	362	35	responses	response	NOUN
ejpam-6026	362	36	.	.	PUNCT
ejpam-6026	363	1	references	reference	NOUN
ejpam-6026	363	2	[	[	X
ejpam-6026	363	3	1	1	NUM
ejpam-6026	363	4	]	]	PUNCT
ejpam-6026	363	5	k.	k.	PROPN
ejpam-6026	363	6	p.	p.	NOUN
ejpam-6026	363	7	hadeler	hadeler	NOUN
ejpam-6026	363	8	and	and	CCONJ
ejpam-6026	363	9	h.	h.	PROPN
ejpam-6026	363	10	i.	i.	PROPN
ejpam-6026	363	11	freedman	freedman	PROPN
ejpam-6026	363	12	.	.	PUNCT
ejpam-6026	364	1	predator	predator	NOUN
ejpam-6026	364	2	-	-	PUNCT
ejpam-6026	364	3	prey	prey	NOUN
ejpam-6026	364	4	populations	population	NOUN
ejpam-6026	364	5	with	with	ADP
ejpam-6026	364	6	parasitic	parasitic	ADJ
ejpam-6026	364	7	infection	infection	NOUN
ejpam-6026	364	8	.	.	PUNCT
ejpam-6026	365	1	journal	journal	PROPN
ejpam-6026	365	2	of	of	ADP
ejpam-6026	365	3	mathematical	mathematical	ADJ
ejpam-6026	365	4	biology	biology	NOUN
ejpam-6026	365	5	,	,	PUNCT
ejpam-6026	365	6	27(6):609–631	27(6):609–631	NUM
ejpam-6026	365	7	,	,	PUNCT
ejpam-6026	365	8	1989	1989	NUM
ejpam-6026	365	9	.	.	PUNCT
ejpam-6026	366	1	[	[	X
ejpam-6026	366	2	2	2	X
ejpam-6026	366	3	]	]	PUNCT
ejpam-6026	366	4	h.	h.	PROPN
ejpam-6026	366	5	w.	w.	PROPN
ejpam-6026	366	6	hethcote	hethcote	PROPN
ejpam-6026	366	7	,	,	PUNCT
ejpam-6026	366	8	w.	w.	PROPN
ejpam-6026	366	9	wang	wang	PROPN
ejpam-6026	366	10	,	,	PUNCT
ejpam-6026	366	11	l.	l.	PROPN
ejpam-6026	366	12	han	han	PROPN
ejpam-6026	366	13	,	,	PUNCT
ejpam-6026	366	14	and	and	CCONJ
ejpam-6026	366	15	z.	z.	PROPN
ejpam-6026	366	16	ma	ma	PROPN
ejpam-6026	366	17	.	.	PROPN
ejpam-6026	367	1	a	a	DET
ejpam-6026	367	2	predator	predator	NOUN
ejpam-6026	367	3	–	–	PUNCT
ejpam-6026	367	4	prey	prey	NOUN
ejpam-6026	367	5	model	model	NOUN
ejpam-6026	367	6	with	with	ADP
ejpam-6026	367	7	infected	infected	ADJ
ejpam-6026	367	8	prey	prey	NOUN
ejpam-6026	367	9	.	.	PUNCT
ejpam-6026	368	1	theoretical	theoretical	ADJ
ejpam-6026	368	2	population	population	NOUN
ejpam-6026	368	3	biology	biology	NOUN
ejpam-6026	368	4	,	,	PUNCT
ejpam-6026	368	5	66(3):259–268	66(3):259–268	PROPN
ejpam-6026	368	6	,	,	PUNCT
ejpam-6026	368	7	2004	2004	NUM
ejpam-6026	368	8	.	.	PUNCT
ejpam-6026	369	1	[	[	X
ejpam-6026	369	2	3	3	X
ejpam-6026	369	3	]	]	X
ejpam-6026	369	4	julian	julian	PROPN
ejpam-6026	369	5	heidecke	heidecke	PROPN
ejpam-6026	369	6	,	,	PUNCT
ejpam-6026	369	7	andrea	andrea	PROPN
ejpam-6026	369	8	lavarello	lavarello	PROPN
ejpam-6026	369	9	schettini	schettini	PROPN
ejpam-6026	369	10	,	,	PUNCT
ejpam-6026	369	11	and	and	CCONJ
ejpam-6026	369	12	joacim	joacim	PROPN
ejpam-6026	369	13	rocklöv	rocklöv	PROPN
ejpam-6026	369	14	.	.	PUNCT
ejpam-6026	370	1	west	west	PROPN
ejpam-6026	370	2	nile	nile	PROPN
ejpam-6026	370	3	virus	virus	PROPN
ejpam-6026	370	4	eco	eco	PROPN
ejpam-6026	370	5	-	-	PUNCT
ejpam-6026	370	6	epidemiology	epidemiology	NOUN
ejpam-6026	370	7	and	and	CCONJ
ejpam-6026	370	8	climate	climate	NOUN
ejpam-6026	370	9	change	change	NOUN
ejpam-6026	370	10	.	.	PUNCT
ejpam-6026	371	1	plos	plos	PROPN
ejpam-6026	371	2	climate	climate	PROPN
ejpam-6026	371	3	,	,	PUNCT
ejpam-6026	371	4	2(5):1–26	2(5):1–26	NUM
ejpam-6026	371	5	,	,	PUNCT
ejpam-6026	371	6	05	05	NUM
ejpam-6026	371	7	2023	2023	NUM
ejpam-6026	371	8	.	.	PUNCT
ejpam-6026	372	1	[	[	X
ejpam-6026	372	2	4	4	X
ejpam-6026	372	3	]	]	X
ejpam-6026	372	4	o.	o.	PROPN
ejpam-6026	372	5	d.	d.	PROPN
ejpam-6026	372	6	salomón	salomón	PROPN
ejpam-6026	372	7	and	and	CCONJ
ejpam-6026	372	8	m.	m.	NOUN
ejpam-6026	372	9	g.	g.	PROPN
ejpam-6026	372	10	quintana	quintana	PROPN
ejpam-6026	372	11	.	.	PUNCT
ejpam-6026	373	1	eco	eco	NOUN
ejpam-6026	373	2	-	-	PUNCT
ejpam-6026	373	3	epidemiological	epidemiological	ADJ
ejpam-6026	373	4	studies	study	NOUN
ejpam-6026	373	5	to	to	PART
ejpam-6026	373	6	develop	develop	VERB
ejpam-6026	373	7	integrated	integrated	ADJ
ejpam-6026	373	8	vector	vector	NOUN
ejpam-6026	373	9	surveillance	surveillance	NOUN
ejpam-6026	373	10	of	of	ADP
ejpam-6026	373	11	leishmaniasis	leishmaniasis	NOUN
ejpam-6026	373	12	vectors	vector	NOUN
ejpam-6026	373	13	in	in	ADP
ejpam-6026	373	14	the	the	DET
ejpam-6026	373	15	americas	america	NOUN
ejpam-6026	373	16	.	.	PUNCT
ejpam-6026	374	1	one	one	NUM
ejpam-6026	374	2	health	health	NOUN
ejpam-6026	374	3	implement	implement	NOUN
ejpam-6026	374	4	.	.	PUNCT
ejpam-6026	375	1	res	re	NOUN
ejpam-6026	375	2	.	.	PROPN
ejpam-6026	375	3	,	,	PUNCT
ejpam-6026	375	4	2(2):45–55	2(2):45–55	NUM
ejpam-6026	375	5	,	,	PUNCT
ejpam-6026	375	6	2022	2022	NUM
ejpam-6026	375	7	.	.	PUNCT
ejpam-6026	376	1	[	[	X
ejpam-6026	376	2	5	5	X
ejpam-6026	376	3	]	]	PUNCT
ejpam-6026	376	4	juan	juan	PROPN
ejpam-6026	376	5	f.	f.	PROPN
ejpam-6026	376	6	navarro	navarro	PROPN
ejpam-6026	376	7	m.	m.	PROPN
ejpam-6026	376	8	berkal	berkal	PROPN
ejpam-6026	376	9	.	.	PUNCT
ejpam-6026	377	1	qualitative	qualitative	ADJ
ejpam-6026	377	2	behavior	behavior	NOUN
ejpam-6026	377	3	of	of	ADP
ejpam-6026	377	4	a	a	DET
ejpam-6026	377	5	two	two	NUM
ejpam-6026	377	6	-	-	PUNCT
ejpam-6026	377	7	dimensional	dimensional	ADJ
ejpam-6026	377	8	discrete	discrete	ADJ
ejpam-6026	377	9	-	-	PUNCT
ejpam-6026	377	10	time	time	NOUN
ejpam-6026	377	11	prey	prey	NOUN
ejpam-6026	377	12	-	-	PUNCT
ejpam-6026	377	13	predator	predator	NOUN
ejpam-6026	377	14	model	model	NOUN
ejpam-6026	377	15	.	.	PUNCT
ejpam-6026	378	1	computational	computational	ADJ
ejpam-6026	378	2	and	and	CCONJ
ejpam-6026	378	3	mathematical	mathematical	ADJ
ejpam-6026	378	4	methods	method	NOUN
ejpam-6026	378	5	,	,	PUNCT
ejpam-6026	378	6	3(6):e1193	3(6):e1193	NUM
ejpam-6026	378	7	,	,	PUNCT
ejpam-6026	378	8	2021	2021	NUM
ejpam-6026	378	9	.	.	PUNCT
ejpam-6026	379	1	[	[	X
ejpam-6026	379	2	6	6	NUM
ejpam-6026	379	3	]	]	PUNCT
ejpam-6026	379	4	m.	m.	NOUN
ejpam-6026	379	5	berkal	berkal	PROPN
ejpam-6026	379	6	m.	m.	PROPN
ejpam-6026	379	7	b.	b.	PROPN
ejpam-6026	379	8	almatrafi	almatrafi	PROPN
ejpam-6026	379	9	.	.	PUNCT
ejpam-6026	380	1	stability	stability	NOUN
ejpam-6026	380	2	and	and	CCONJ
ejpam-6026	380	3	bifurcation	bifurcation	NOUN
ejpam-6026	380	4	analysis	analysis	NOUN
ejpam-6026	380	5	of	of	ADP
ejpam-6026	380	6	predator	predator	NOUN
ejpam-6026	380	7	-	-	PUNCT
ejpam-6026	380	8	prey	prey	NOUN
ejpam-6026	380	9	model	model	NOUN
ejpam-6026	380	10	with	with	ADP
ejpam-6026	380	11	allee	allee	ADJ
ejpam-6026	380	12	effect	effect	NOUN
ejpam-6026	380	13	using	use	VERB
ejpam-6026	380	14	conformable	conformable	ADJ
ejpam-6026	380	15	derivatives	derivative	NOUN
ejpam-6026	380	16	.	.	PUNCT
ejpam-6026	381	1	journal	journal	NOUN
ejpam-6026	381	2	of	of	ADP
ejpam-6026	381	3	mathematics	mathematic	NOUN
ejpam-6026	381	4	and	and	CCONJ
ejpam-6026	381	5	computer	computer	NOUN
ejpam-6026	381	6	science	science	NOUN
ejpam-6026	381	7	,	,	PUNCT
ejpam-6026	381	8	36(3):299–316	36(3):299–316	PROPN
ejpam-6026	381	9	,	,	PUNCT
ejpam-6026	381	10	2025	2025	NUM
ejpam-6026	381	11	.	.	PUNCT
ejpam-6026	382	1	[	[	X
ejpam-6026	382	2	7	7	X
ejpam-6026	382	3	]	]	X
ejpam-6026	382	4	d.	d.	PROPN
ejpam-6026	382	5	march	march	PROPN
ejpam-6026	382	6	,	,	PUNCT
ejpam-6026	382	7	e.	e.	PROPN
ejpam-6026	382	8	susser	susser	PROPN
ejpam-6026	382	9	,	,	PUNCT
ejpam-6026	382	10	a.	a.	PROPN
ejpam-6026	382	11	cheskis	cheskis	PROPN
ejpam-6026	382	12	gelman	gelman	PROPN
ejpam-6026	382	13	,	,	PUNCT
ejpam-6026	382	14	and	and	CCONJ
ejpam-6026	382	15	m.	m.	PROPN
ejpam-6026	382	16	charles	charles	PROPN
ejpam-6026	382	17	gelman	gelman	PROPN
ejpam-6026	382	18	professor	professor	PROPN
ejpam-6026	382	19	.	.	PUNCT
ejpam-6026	383	1	the	the	DET
ejpam-6026	383	2	ecoin	ecoin	VERB
ejpam-6026	383	3	eco	eco	NOUN
ejpam-6026	383	4	-	-	PUNCT
ejpam-6026	383	5	epidemiology	epidemiology	NOUN
ejpam-6026	383	6	.	.	PUNCT
ejpam-6026	384	1	international	international	ADJ
ejpam-6026	384	2	journal	journal	NOUN
ejpam-6026	384	3	of	of	ADP
ejpam-6026	384	4	epidemiology	epidemiology	NOUN
ejpam-6026	384	5	,	,	PUNCT
ejpam-6026	384	6	35(6):1379–1383	35(6):1379–1383	NUM
ejpam-6026	384	7	,	,	PUNCT
ejpam-6026	384	8	2006	2006	NUM
ejpam-6026	384	9	.	.	PUNCT
ejpam-6026	385	1	k.	k.	PROPN
ejpam-6026	385	2	a.	a.	PROPN
ejpam-6026	385	3	hassan	hassan	PROPN
ejpam-6026	385	4	/	/	SYM
ejpam-6026	385	5	eur	eur	PROPN
ejpam-6026	385	6	.	.	PUNCT
ejpam-6026	386	1	j.	j.	PROPN
ejpam-6026	386	2	pure	pure	PROPN
ejpam-6026	386	3	appl	appl	PROPN
ejpam-6026	386	4	.	.	PROPN
ejpam-6026	386	5	math	math	PROPN
ejpam-6026	386	6	,	,	PUNCT
ejpam-6026	386	7	18	18	NUM
ejpam-6026	386	8	(	(	PUNCT
ejpam-6026	386	9	2	2	NUM
ejpam-6026	386	10	)	)	PUNCT
ejpam-6026	386	11	(	(	PUNCT
ejpam-6026	386	12	2025	2025	NUM
ejpam-6026	386	13	)	)	PUNCT
ejpam-6026	386	14	,	,	PUNCT
ejpam-6026	386	15	6026	6026	NUM
ejpam-6026	386	16	20	20	NUM
ejpam-6026	386	17	of	of	ADP
ejpam-6026	386	18	20	20	NUM
ejpam-6026	386	19	[	[	SYM
ejpam-6026	386	20	8	8	NUM
ejpam-6026	386	21	]	]	X
ejpam-6026	386	22	c.	c.	PROPN
ejpam-6026	386	23	tannoia	tannoia	PROPN
ejpam-6026	386	24	,	,	PUNCT
ejpam-6026	386	25	e.	e.	PROPN
ejpam-6026	386	26	torre	torre	PROPN
ejpam-6026	386	27	,	,	PUNCT
ejpam-6026	386	28	and	and	CCONJ
ejpam-6026	386	29	e.	e.	PROPN
ejpam-6026	386	30	venturino	venturino	PROPN
ejpam-6026	386	31	.	.	PUNCT
ejpam-6026	387	1	an	an	DET
ejpam-6026	387	2	incubating	incubate	VERB
ejpam-6026	387	3	diseased	disease	VERB
ejpam-6026	387	4	-	-	PUNCT
ejpam-6026	387	5	predator	predator	NOUN
ejpam-6026	387	6	ecoepidemic	ecoepidemic	ADJ
ejpam-6026	387	7	model	model	NOUN
ejpam-6026	387	8	.	.	PUNCT
ejpam-6026	388	1	journal	journal	PROPN
ejpam-6026	388	2	of	of	ADP
ejpam-6026	388	3	biological	biological	ADJ
ejpam-6026	388	4	physics	physic	NOUN
ejpam-6026	388	5	,	,	PUNCT
ejpam-6026	388	6	38(4):705–720	38(4):705–720	PROPN
ejpam-6026	388	7	,	,	PUNCT
ejpam-6026	388	8	2012	2012	NUM
ejpam-6026	388	9	.	.	PUNCT
ejpam-6026	389	1	[	[	X
ejpam-6026	389	2	9	9	NUM
ejpam-6026	389	3	]	]	PUNCT
ejpam-6026	389	4	s.	s.	PROPN
ejpam-6026	389	5	zhang	zhang	PROPN
ejpam-6026	389	6	and	and	CCONJ
ejpam-6026	389	7	l.	l.	PROPN
ejpam-6026	389	8	chen	chen	PROPN
ejpam-6026	389	9	.	.	PUNCT
ejpam-6026	390	1	a	a	DET
ejpam-6026	390	2	study	study	NOUN
ejpam-6026	390	3	of	of	ADP
ejpam-6026	390	4	predator	predator	NOUN
ejpam-6026	390	5	–	–	PUNCT
ejpam-6026	390	6	prey	prey	NOUN
ejpam-6026	390	7	models	model	NOUN
ejpam-6026	390	8	with	with	ADP
ejpam-6026	390	9	the	the	DET
ejpam-6026	390	10	beddington	beddington	PROPN
ejpam-6026	390	11	–	–	PUNCT
ejpam-6026	390	12	deangelis	deangelis	PROPN
ejpam-6026	390	13	functional	functional	ADJ
ejpam-6026	390	14	response	response	NOUN
ejpam-6026	390	15	and	and	CCONJ
ejpam-6026	390	16	impulsive	impulsive	ADJ
ejpam-6026	390	17	effect	effect	NOUN
ejpam-6026	390	18	.	.	PUNCT
ejpam-6026	391	1	chaos	chaos	NOUN
ejpam-6026	391	2	,	,	PUNCT
ejpam-6026	391	3	solitons	soliton	NOUN
ejpam-6026	391	4	&	&	CCONJ
ejpam-6026	391	5	fractals	fractal	NOUN
ejpam-6026	391	6	,	,	PUNCT
ejpam-6026	391	7	27(1):237–248	27(1):237–248	NUM
ejpam-6026	391	8	,	,	PUNCT
ejpam-6026	391	9	2006	2006	NUM
ejpam-6026	391	10	.	.	PUNCT
ejpam-6026	392	1	[	[	X
ejpam-6026	392	2	10	10	NUM
ejpam-6026	392	3	]	]	X
ejpam-6026	392	4	y.	y.	PROPN
ejpam-6026	392	5	shao	shao	PROPN
ejpam-6026	392	6	and	and	CCONJ
ejpam-6026	392	7	w.	w.	PROPN
ejpam-6026	392	8	kong	kong	PROPN
ejpam-6026	392	9	.	.	PUNCT
ejpam-6026	393	1	a	a	DET
ejpam-6026	393	2	predator	predator	NOUN
ejpam-6026	393	3	–	–	PUNCT
ejpam-6026	393	4	prey	prey	NOUN
ejpam-6026	393	5	model	model	NOUN
ejpam-6026	393	6	with	with	ADP
ejpam-6026	393	7	beddington	beddington	PROPN
ejpam-6026	393	8	–	–	PUNCT
ejpam-6026	393	9	deangelis	deangelis	PROPN
ejpam-6026	393	10	functional	functional	ADJ
ejpam-6026	393	11	response	response	NOUN
ejpam-6026	393	12	and	and	CCONJ
ejpam-6026	393	13	multiple	multiple	ADJ
ejpam-6026	393	14	delays	delay	NOUN
ejpam-6026	393	15	in	in	ADP
ejpam-6026	393	16	deterministic	deterministic	ADJ
ejpam-6026	393	17	and	and	CCONJ
ejpam-6026	393	18	stochastic	stochastic	ADJ
ejpam-6026	393	19	environments	environment	NOUN
ejpam-6026	393	20	.	.	PUNCT
ejpam-6026	394	1	mathematics	mathematic	NOUN
ejpam-6026	394	2	,	,	PUNCT
ejpam-6026	394	3	10(18):3378	10(18):3378	NUM
ejpam-6026	394	4	,	,	PUNCT
ejpam-6026	394	5	2022	2022	NUM
ejpam-6026	394	6	.	.	PUNCT
ejpam-6026	395	1	[	[	X
ejpam-6026	395	2	11	11	NUM
ejpam-6026	395	3	]	]	PUNCT
ejpam-6026	395	4	h.	h.	PROPN
ejpam-6026	395	5	h.	h.	PROPN
ejpam-6026	395	6	rahman	rahman	PROPN
ejpam-6026	395	7	and	and	CCONJ
ejpam-6026	395	8	k.	k.	PROPN
ejpam-6026	395	9	a.	a.	PROPN
ejpam-6026	395	10	hassan	hassan	PROPN
ejpam-6026	395	11	.	.	PUNCT
ejpam-6026	396	1	fractional	fractional	ADJ
ejpam-6026	396	2	order	order	NOUN
ejpam-6026	396	3	system	system	NOUN
ejpam-6026	396	4	dynamical	dynamical	ADJ
ejpam-6026	396	5	behaviors	behavior	NOUN
ejpam-6026	396	6	with	with	ADP
ejpam-6026	396	7	beddington	beddington	PROPN
ejpam-6026	396	8	-	-	PUNCT
ejpam-6026	396	9	deangelis	deangelis	PROPN
ejpam-6026	396	10	functional	functional	ADJ
ejpam-6026	396	11	response	response	NOUN
ejpam-6026	396	12	.	.	PUNCT
ejpam-6026	397	1	passer	passer	ADJ
ejpam-6026	397	2	journal	journal	NOUN
ejpam-6026	397	3	of	of	ADP
ejpam-6026	397	4	basic	basic	ADJ
ejpam-6026	397	5	and	and	CCONJ
ejpam-6026	397	6	applied	applied	ADJ
ejpam-6026	397	7	sciences	science	NOUN
ejpam-6026	397	8	,	,	PUNCT
ejpam-6026	397	9	4(2):170–179	4(2):170–179	NOUN
ejpam-6026	397	10	,	,	PUNCT
ejpam-6026	397	11	2022	2022	NUM
ejpam-6026	397	12	.	.	PUNCT
ejpam-6026	398	1	[	[	X
ejpam-6026	398	2	12	12	NUM
ejpam-6026	398	3	]	]	X
ejpam-6026	398	4	b.	b.	PROPN
ejpam-6026	398	5	wang	wang	PROPN
ejpam-6026	398	6	and	and	CCONJ
ejpam-6026	398	7	x.	x.	PROPN
ejpam-6026	398	8	li	li	PROPN
ejpam-6026	398	9	.	.	PROPN
ejpam-6026	399	1	modeling	modeling	NOUN
ejpam-6026	399	2	and	and	CCONJ
ejpam-6026	399	3	dynamical	dynamical	ADJ
ejpam-6026	399	4	analysis	analysis	NOUN
ejpam-6026	399	5	of	of	ADP
ejpam-6026	399	6	a	a	DET
ejpam-6026	399	7	fractional	fractional	ADJ
ejpam-6026	399	8	-	-	PUNCT
ejpam-6026	399	9	order	order	NOUN
ejpam-6026	399	10	predator	predator	NOUN
ejpam-6026	399	11	–	–	PUNCT
ejpam-6026	399	12	prey	prey	NOUN
ejpam-6026	399	13	system	system	NOUN
ejpam-6026	399	14	with	with	ADP
ejpam-6026	399	15	anti	anti	ADJ
ejpam-6026	399	16	-	-	ADJ
ejpam-6026	399	17	predator	predator	ADJ
ejpam-6026	399	18	behavior	behavior	NOUN
ejpam-6026	399	19	and	and	CCONJ
ejpam-6026	399	20	a	a	DET
ejpam-6026	399	21	holling	holle	VERB
ejpam-6026	399	22	type	type	NOUN
ejpam-6026	399	23	iv	iv	NUM
ejpam-6026	399	24	functional	functional	ADJ
ejpam-6026	399	25	response	response	NOUN
ejpam-6026	399	26	.	.	PUNCT
ejpam-6026	400	1	fractal	fractal	ADJ
ejpam-6026	400	2	and	and	CCONJ
ejpam-6026	400	3	fractional	fractional	ADJ
ejpam-6026	400	4	,	,	PUNCT
ejpam-6026	400	5	7(10):722	7(10):722	NUM
ejpam-6026	400	6	,	,	PUNCT
ejpam-6026	400	7	2023	2023	NUM
ejpam-6026	400	8	.	.	PUNCT
ejpam-6026	401	1	[	[	X
ejpam-6026	401	2	13	13	NUM
ejpam-6026	401	3	]	]	X
ejpam-6026	401	4	d.	d.	PROPN
ejpam-6026	401	5	b.	b.	PROPN
ejpam-6026	401	6	prakash	prakash	PROPN
ejpam-6026	401	7	and	and	CCONJ
ejpam-6026	401	8	d.	d.	PROPN
ejpam-6026	401	9	k.	k.	PROPN
ejpam-6026	402	1	k.	k.	PROPN
ejpam-6026	402	2	vamsi	vamsi	PROPN
ejpam-6026	402	3	.	.	PUNCT
ejpam-6026	403	1	stochastic	stochastic	ADJ
ejpam-6026	403	2	time	time	NOUN
ejpam-6026	403	3	-	-	PUNCT
ejpam-6026	403	4	optimal	optimal	ADJ
ejpam-6026	403	5	control	control	NOUN
ejpam-6026	403	6	and	and	CCONJ
ejpam-6026	403	7	sensitivity	sensitivity	NOUN
ejpam-6026	403	8	studies	study	NOUN
ejpam-6026	403	9	for	for	ADP
ejpam-6026	403	10	additional	additional	ADJ
ejpam-6026	403	11	food	food	NOUN
ejpam-6026	403	12	provided	provide	VERB
ejpam-6026	403	13	prey	prey	NOUN
ejpam-6026	403	14	-	-	PUNCT
ejpam-6026	403	15	predator	predator	NOUN
ejpam-6026	403	16	systems	system	NOUN
ejpam-6026	403	17	involving	involve	VERB
ejpam-6026	403	18	holling	holle	VERB
ejpam-6026	403	19	typeiv	typeiv	NOUN
ejpam-6026	403	20	functional	functional	ADJ
ejpam-6026	403	21	response	response	NOUN
ejpam-6026	403	22	.	.	PUNCT
ejpam-6026	404	1	frontiers	frontier	NOUN
ejpam-6026	404	2	in	in	ADP
ejpam-6026	404	3	applied	apply	VERB
ejpam-6026	404	4	mathematics	mathematic	NOUN
ejpam-6026	404	5	and	and	CCONJ
ejpam-6026	404	6	statistics	statistic	NOUN
ejpam-6026	404	7	,	,	PUNCT
ejpam-6026	404	8	9:1122107	9:1122107	NUM
ejpam-6026	404	9	,	,	PUNCT
ejpam-6026	404	10	2023	2023	NUM
ejpam-6026	404	11	.	.	PUNCT
ejpam-6026	405	1	[	[	X
ejpam-6026	405	2	14	14	NUM
ejpam-6026	405	3	]	]	PUNCT
ejpam-6026	405	4	j.	j.	PROPN
ejpam-6026	405	5	f.	f.	PROPN
ejpam-6026	405	6	andrews	andrews	PROPN
ejpam-6026	405	7	.	.	PUNCT
ejpam-6026	406	1	a	a	DET
ejpam-6026	406	2	mathematical	mathematical	ADJ
ejpam-6026	406	3	model	model	NOUN
ejpam-6026	406	4	for	for	ADP
ejpam-6026	406	5	the	the	DET
ejpam-6026	406	6	continuous	continuous	ADJ
ejpam-6026	406	7	culture	culture	NOUN
ejpam-6026	406	8	of	of	ADP
ejpam-6026	406	9	microorganisms	microorganism	NOUN
ejpam-6026	406	10	utilizing	utilize	VERB
ejpam-6026	406	11	inhibitory	inhibitory	ADJ
ejpam-6026	406	12	substrates	substrate	NOUN
ejpam-6026	406	13	.	.	PUNCT
ejpam-6026	407	1	biotechnology	biotechnology	NOUN
ejpam-6026	407	2	and	and	CCONJ
ejpam-6026	407	3	bioengineering	bioengineering	NOUN
ejpam-6026	407	4	,	,	PUNCT
ejpam-6026	407	5	x:707–723	x:707–723	PROPN
ejpam-6026	407	6	,	,	PUNCT
ejpam-6026	407	7	1968	1968	NUM
ejpam-6026	407	8	.	.	PUNCT
ejpam-6026	408	1	[	[	X
ejpam-6026	408	2	15	15	NUM
ejpam-6026	408	3	]	]	X
ejpam-6026	408	4	r.	r.	PROPN
ejpam-6026	408	5	m.	m.	PROPN
ejpam-6026	408	6	etoua	etoua	PROPN
ejpam-6026	408	7	and	and	CCONJ
ejpam-6026	408	8	c.	c.	PROPN
ejpam-6026	408	9	rousseau	rousseau	PROPN
ejpam-6026	408	10	.	.	PUNCT
ejpam-6026	409	1	bifurcation	bifurcation	NOUN
ejpam-6026	409	2	analysis	analysis	NOUN
ejpam-6026	409	3	of	of	ADP
ejpam-6026	409	4	a	a	DET
ejpam-6026	409	5	generalized	generalize	VERB
ejpam-6026	409	6	gause	gause	NOUN
ejpam-6026	409	7	model	model	NOUN
ejpam-6026	409	8	with	with	ADP
ejpam-6026	409	9	prey	prey	PROPN
ejpam-6026	409	10	harvesting	harvesting	NOUN
ejpam-6026	409	11	and	and	CCONJ
ejpam-6026	409	12	a	a	DET
ejpam-6026	409	13	generalized	generalized	ADJ
ejpam-6026	409	14	holling	holle	VERB
ejpam-6026	409	15	response	response	NOUN
ejpam-6026	409	16	function	function	NOUN
ejpam-6026	409	17	of	of	ADP
ejpam-6026	409	18	type	type	NOUN
ejpam-6026	409	19	iii	iii	PROPN
ejpam-6026	409	20	.	.	PROPN
ejpam-6026	409	21	journal	journal	PROPN
ejpam-6026	409	22	of	of	ADP
ejpam-6026	409	23	differential	differential	ADJ
ejpam-6026	409	24	equations	equation	NOUN
ejpam-6026	409	25	,	,	PUNCT
ejpam-6026	409	26	249(9):2316–2356	249(9):2316–2356	PROPN
ejpam-6026	409	27	,	,	PUNCT
ejpam-6026	409	28	2010	2010	NUM
ejpam-6026	409	29	.	.	PUNCT
ejpam-6026	410	1	[	[	X
ejpam-6026	410	2	16	16	NUM
ejpam-6026	410	3	]	]	PUNCT
ejpam-6026	410	4	a.	a.	NOUN
ejpam-6026	410	5	arsie	arsie	PROPN
ejpam-6026	410	6	,	,	PUNCT
ejpam-6026	410	7	c.	c.	PROPN
ejpam-6026	410	8	kottegoda	kottegoda	PROPN
ejpam-6026	410	9	,	,	PUNCT
ejpam-6026	410	10	and	and	CCONJ
ejpam-6026	410	11	c.	c.	PROPN
ejpam-6026	410	12	shan	shan	PROPN
ejpam-6026	410	13	.	.	PUNCT
ejpam-6026	411	1	a	a	DET
ejpam-6026	411	2	predator	predator	NOUN
ejpam-6026	411	3	-	-	PUNCT
ejpam-6026	411	4	prey	prey	NOUN
ejpam-6026	411	5	system	system	NOUN
ejpam-6026	411	6	with	with	ADP
ejpam-6026	411	7	generalized	generalized	ADJ
ejpam-6026	411	8	holling	holling	NOUN
ejpam-6026	411	9	type	type	NOUN
ejpam-6026	411	10	iv	iv	NUM
ejpam-6026	411	11	functional	functional	ADJ
ejpam-6026	411	12	response	response	NOUN
ejpam-6026	411	13	and	and	CCONJ
ejpam-6026	411	14	allee	allee	NOUN
ejpam-6026	411	15	effects	effect	NOUN
ejpam-6026	411	16	in	in	ADP
ejpam-6026	411	17	prey	prey	PROPN
ejpam-6026	411	18	.	.	PUNCT
ejpam-6026	412	1	journal	journal	PROPN
ejpam-6026	412	2	of	of	ADP
ejpam-6026	412	3	differential	differential	ADJ
ejpam-6026	412	4	equations	equation	NOUN
ejpam-6026	412	5	,	,	PUNCT
ejpam-6026	412	6	309:704–740	309:704–740	NUM
ejpam-6026	412	7	,	,	PUNCT
ejpam-6026	412	8	2022	2022	NUM
ejpam-6026	412	9	.	.	PUNCT
ejpam-6026	413	1	[	[	X
ejpam-6026	413	2	17	17	NUM
ejpam-6026	413	3	]	]	X
ejpam-6026	413	4	h.	h.	PROPN
ejpam-6026	413	5	freedman	freedman	PROPN
ejpam-6026	413	6	and	and	CCONJ
ejpam-6026	413	7	g.	g.	PROPN
ejpam-6026	413	8	wolkowicz	wolkowicz	PROPN
ejpam-6026	413	9	.	.	PUNCT
ejpam-6026	414	1	predator	predator	NOUN
ejpam-6026	414	2	-	-	PUNCT
ejpam-6026	414	3	prey	prey	NOUN
ejpam-6026	414	4	systems	system	NOUN
ejpam-6026	414	5	with	with	ADP
ejpam-6026	414	6	group	group	NOUN
ejpam-6026	414	7	defence	defence	NOUN
ejpam-6026	414	8	:	:	PUNCT
ejpam-6026	414	9	the	the	DET
ejpam-6026	414	10	paradox	paradox	NOUN
ejpam-6026	414	11	of	of	ADP
ejpam-6026	414	12	enrichment	enrichment	NOUN
ejpam-6026	414	13	revisited	revisit	VERB
ejpam-6026	414	14	.	.	PUNCT
ejpam-6026	415	1	bulletin	bulletin	NOUN
ejpam-6026	415	2	of	of	ADP
ejpam-6026	415	3	mathematical	mathematical	ADJ
ejpam-6026	415	4	biology	biology	NOUN
ejpam-6026	415	5	,	,	PUNCT
ejpam-6026	415	6	48(5–6):493–508	48(5–6):493–508	NOUN
ejpam-6026	415	7	,	,	PUNCT
ejpam-6026	415	8	1986	1986	NUM
ejpam-6026	415	9	.	.	PUNCT
ejpam-6026	416	1	[	[	X
ejpam-6026	416	2	18	18	NUM
ejpam-6026	416	3	]	]	X
ejpam-6026	416	4	w.	w.	PROPN
ejpam-6026	416	5	a.	a.	PROPN
ejpam-6026	416	6	foster	foster	PROPN
ejpam-6026	416	7	and	and	CCONJ
ejpam-6026	416	8	j.	j.	PROPN
ejpam-6026	416	9	e.	e.	PROPN
ejpam-6026	416	10	treherne	treherne	PROPN
ejpam-6026	416	11	.	.	PUNCT
ejpam-6026	417	1	evidence	evidence	NOUN
ejpam-6026	417	2	for	for	ADP
ejpam-6026	417	3	the	the	DET
ejpam-6026	417	4	dilution	dilution	NOUN
ejpam-6026	417	5	effect	effect	NOUN
ejpam-6026	417	6	in	in	ADP
ejpam-6026	417	7	the	the	DET
ejpam-6026	417	8	selfish	selfish	ADJ
ejpam-6026	417	9	herd	herd	NOUN
ejpam-6026	417	10	from	from	ADP
ejpam-6026	417	11	fish	fish	NOUN
ejpam-6026	417	12	predation	predation	NOUN
ejpam-6026	417	13	on	on	ADP
ejpam-6026	417	14	a	a	DET
ejpam-6026	417	15	marine	marine	ADJ
ejpam-6026	417	16	insect	insect	NOUN
ejpam-6026	417	17	.	.	PUNCT
ejpam-6026	418	1	nature	nature	NOUN
ejpam-6026	418	2	,	,	PUNCT
ejpam-6026	418	3	293(5832):466–467	293(5832):466–467	NUM
ejpam-6026	418	4	,	,	PUNCT
ejpam-6026	418	5	1981	1981	NUM
ejpam-6026	418	6	.	.	PUNCT
ejpam-6026	419	1	[	[	X
ejpam-6026	419	2	19	19	NUM
ejpam-6026	419	3	]	]	X
ejpam-6026	419	4	p.k	p.k	PROPN
ejpam-6026	419	5	.	.	PROPN
ejpam-6026	419	6	roy	roy	PROPN
ejpam-6026	419	7	n.bairagi	n.bairagi	PROPN
ejpam-6026	419	8	and	and	CCONJ
ejpam-6026	419	9	j.	j.	PROPN
ejpam-6026	419	10	chattopadhyay	chattopadhyay	PROPN
ejpam-6026	419	11	.	.	PUNCT
ejpam-6026	420	1	role	role	NOUN
ejpam-6026	420	2	of	of	ADP
ejpam-6026	420	3	infection	infection	NOUN
ejpam-6026	420	4	on	on	ADP
ejpam-6026	420	5	the	the	DET
ejpam-6026	420	6	stability	stability	NOUN
ejpam-6026	420	7	of	of	ADP
ejpam-6026	420	8	a	a	DET
ejpam-6026	420	9	predator	predator	NOUN
ejpam-6026	420	10	-	-	PUNCT
ejpam-6026	420	11	prey	prey	NOUN
ejpam-6026	420	12	system	system	NOUN
ejpam-6026	420	13	,	,	PUNCT
ejpam-6026	420	14	2007	2007	NUM
ejpam-6026	420	15	.	.	PUNCT
ejpam-6026	421	1	[	[	X
ejpam-6026	421	2	20	20	NUM
ejpam-6026	421	3	]	]	PUNCT
ejpam-6026	421	4	g.	g.	NOUN
ejpam-6026	421	5	birkhoff	birkhoff	NOUN
ejpam-6026	421	6	and	and	CCONJ
ejpam-6026	421	7	g.-c	g.-c	PROPN
ejpam-6026	421	8	.	.	PUNCT
ejpam-6026	422	1	rota	rota	PROPN
ejpam-6026	422	2	.	.	PUNCT
ejpam-6026	423	1	ordinary	ordinary	ADJ
ejpam-6026	423	2	differential	differential	ADJ
ejpam-6026	423	3	equations	equation	NOUN
ejpam-6026	423	4	.	.	PUNCT
ejpam-6026	424	1	wiley	wiley	PROPN
ejpam-6026	424	2	,	,	PUNCT
ejpam-6026	424	3	4th	4th	ADJ
ejpam-6026	424	4	edition	edition	NOUN
ejpam-6026	424	5	,	,	PUNCT
ejpam-6026	424	6	1989	1989	NUM
ejpam-6026	424	7	.	.	PUNCT