id	sid	tid	token	lemma	pos
iajs-4152	1	1	408	408	NUM
iajs-4152	1	2	©	©	ADP
iajs-4152	1	3	2025	2025	NUM
iajs-4152	1	4	the	the	DET
iajs-4152	1	5	author(s	author(s	NOUN
iajs-4152	1	6	)	)	PUNCT
iajs-4152	1	7	.	.	PUNCT
iajs-4152	2	1	published	publish	VERB
iajs-4152	2	2	by	by	ADP
iajs-4152	2	3	college	college	NOUN
iajs-4152	2	4	of	of	ADP
iajs-4152	2	5	education	education	NOUN
iajs-4152	2	6	for	for	ADP
iajs-4152	2	7	pure	pure	ADJ
iajs-4152	2	8	science	science	NOUN
iajs-4152	2	9	(	(	PUNCT
iajs-4152	2	10	ibn	ibn	PROPN
iajs-4152	2	11	al	al	PROPN
iajs-4152	2	12	-	-	PUNCT
iajs-4152	2	13	haitham	haitham	PROPN
iajs-4152	2	14	)	)	PUNCT
iajs-4152	2	15	,	,	PUNCT
iajs-4152	2	16	university	university	NOUN
iajs-4152	2	17	of	of	ADP
iajs-4152	2	18	baghdad	baghdad	PROPN
iajs-4152	2	19	.	.	PUNCT
iajs-4152	3	1	this	this	PRON
iajs-4152	3	2	is	be	AUX
iajs-4152	3	3	an	an	DET
iajs-4152	3	4	open	open	ADJ
iajs-4152	3	5	-	-	PUNCT
iajs-4152	3	6	access	access	NOUN
iajs-4152	3	7	article	article	NOUN
iajs-4152	3	8	distributed	distribute	VERB
iajs-4152	3	9	under	under	ADP
iajs-4152	3	10	the	the	DET
iajs-4152	3	11	terms	term	NOUN
iajs-4152	3	12	of	of	ADP
iajs-4152	3	13	the	the	DET
iajs-4152	3	14	creative	creative	ADJ
iajs-4152	3	15	commons	common	NOUN
iajs-4152	3	16	attribution	attribution	NOUN
iajs-4152	3	17	4.0	4.0	NUM
iajs-4152	3	18	international	international	ADJ
iajs-4152	3	19	license	license	NOUN
iajs-4152	3	20	nonlinear	nonlinear	ADJ
iajs-4152	3	21	dynamics	dynamic	NOUN
iajs-4152	3	22	and	and	CCONJ
iajs-4152	3	23	stability	stability	NOUN
iajs-4152	3	24	of	of	ADP
iajs-4152	3	25	a	a	DET
iajs-4152	3	26	stage	stage	NOUN
iajs-4152	3	27	-	-	PUNCT
iajs-4152	3	28	structured	structure	VERB
iajs-4152	3	29	predator	predator	NOUN
iajs-4152	3	30	–	–	PUNCT
iajs-4152	3	31	prey	prey	NOUN
iajs-4152	3	32	system	system	NOUN
iajs-4152	3	33	with	with	ADP
iajs-4152	3	34	fear	fear	NOUN
iajs-4152	3	35	factors	factor	NOUN
iajs-4152	3	36	bushra	bushra	PROPN
iajs-4152	3	37	e.	e.	PROPN
iajs-4152	3	38	kashem	kashem	PROPN
iajs-4152	3	39	1,2	1,2	NUM
iajs-4152	3	40	,	,	PUNCT
iajs-4152	3	41	hassan	hassan	PROPN
iajs-4152	3	42	f.	f.	PROPN
iajs-4152	3	43	al	al	PROPN
iajs-4152	3	44	-	-	PUNCT
iajs-4152	3	45	husseiny	husseiny	PRON
iajs-4152	3	46	2	2	NUM
iajs-4152	3	47	*	*	PUNCT
iajs-4152	3	48	,	,	PUNCT
iajs-4152	3	49	anwar	anwar	PROPN
iajs-4152	3	50	zeb	zeb	PROPN
iajs-4152	3	51	3	3	NUM
iajs-4152	3	52	1,2	1,2	NUM
iajs-4152	3	53	department	department	NOUN
iajs-4152	3	54	of	of	ADP
iajs-4152	3	55	mathematics	mathematic	NOUN
iajs-4152	3	56	,	,	PUNCT
iajs-4152	3	57	college	college	NOUN
iajs-4152	3	58	of	of	ADP
iajs-4152	3	59	science	science	NOUN
iajs-4152	3	60	,	,	PUNCT
iajs-4152	3	61	university	university	NOUN
iajs-4152	3	62	of	of	ADP
iajs-4152	3	63	baghdad	baghdad	PROPN
iajs-4152	3	64	,	,	PUNCT
iajs-4152	3	65	baghdad	baghdad	PROPN
iajs-4152	3	66	,	,	PUNCT
iajs-4152	3	67	iraq	iraq	PROPN
iajs-4152	3	68	2	2	NUM
iajs-4152	3	69	college	college	NOUN
iajs-4152	3	70	of	of	ADP
iajs-4152	3	71	applied	apply	VERB
iajs-4152	3	72	science	science	NOUN
iajs-4152	3	73	,	,	PUNCT
iajs-4152	3	74	university	university	NOUN
iajs-4152	3	75	of	of	ADP
iajs-4152	3	76	technology	technology	NOUN
iajs-4152	3	77	,	,	PUNCT
iajs-4152	3	78	baghdad	baghdad	PROPN
iajs-4152	3	79	,	,	PUNCT
iajs-4152	3	80	iraq	iraq	PROPN
iajs-4152	3	81	3	3	NUM
iajs-4152	3	82	department	department	NOUN
iajs-4152	3	83	of	of	ADP
iajs-4152	3	84	mathematics	mathematic	NOUN
iajs-4152	3	85	,	,	PUNCT
iajs-4152	3	86	comsats	comsats	PROPN
iajs-4152	3	87	university	university	PROPN
iajs-4152	3	88	islamabad	islamabad	PROPN
iajs-4152	3	89	,	,	PUNCT
iajs-4152	3	90	abbottabad	abbottabad	PROPN
iajs-4152	3	91	campus	campus	PROPN
iajs-4152	3	92	,	,	PUNCT
iajs-4152	3	93	pakistan	pakistan	PROPN
iajs-4152	3	94	*	*	PUNCT
iajs-4152	3	95	corresponding	correspond	VERB
iajs-4152	3	96	author	author	NOUN
iajs-4152	3	97	.	.	PUNCT
iajs-4152	4	1	received	receive	VERB
iajs-4152	4	2	:	:	PUNCT
iajs-4152	4	3	23	23	NUM
iajs-4152	4	4	april	april	PROPN
iajs-4152	4	5	2025	2025	NUM
iajs-4152	4	6	accepted	accept	VERB
iajs-4152	4	7	:	:	PUNCT
iajs-4152	4	8	24	24	NUM
iajs-4152	4	9	july	july	PROPN
iajs-4152	4	10	2025	2025	NUM
iajs-4152	4	11	published	publish	VERB
iajs-4152	4	12	:	:	PUNCT
iajs-4152	4	13	20	20	NUM
iajs-4152	4	14	october	october	NOUN
iajs-4152	4	15	2025	2025	NUM
iajs-4152	5	1	doi.org/10.30526/38.4.4097	doi.org/10.30526/38.4.4097	ADJ
iajs-4152	5	2	abstract	abstract	ADJ
iajs-4152	5	3	this	this	DET
iajs-4152	5	4	paper	paper	NOUN
iajs-4152	5	5	presents	present	VERB
iajs-4152	5	6	the	the	DET
iajs-4152	5	7	formulation	formulation	NOUN
iajs-4152	5	8	and	and	CCONJ
iajs-4152	5	9	investigation	investigation	NOUN
iajs-4152	5	10	for	for	ADP
iajs-4152	5	11	a	a	DET
iajs-4152	5	12	stage	stage	NOUN
iajs-4152	5	13	-	-	PUNCT
iajs-4152	5	14	structured	structure	VERB
iajs-4152	5	15	prey	prey	NOUN
iajs-4152	5	16	-	-	PUNCT
iajs-4152	5	17	predator	predator	NOUN
iajs-4152	5	18	system	system	NOUN
iajs-4152	5	19	.	.	PUNCT
iajs-4152	6	1	we	we	PRON
iajs-4152	6	2	consider	consider	VERB
iajs-4152	6	3	the	the	DET
iajs-4152	6	4	stagestructure	stagestructure	NOUN
iajs-4152	6	5	in	in	ADP
iajs-4152	6	6	both	both	PRON
iajs-4152	6	7	prey	prey	NOUN
iajs-4152	6	8	and	and	CCONJ
iajs-4152	6	9	predator	predator	NOUN
iajs-4152	6	10	populations	population	NOUN
iajs-4152	6	11	,	,	PUNCT
iajs-4152	6	12	specifically	specifically	ADV
iajs-4152	6	13	dividing	divide	VERB
iajs-4152	6	14	the	the	DET
iajs-4152	6	15	population	population	NOUN
iajs-4152	6	16	of	of	ADP
iajs-4152	6	17	prey	prey	NOUN
iajs-4152	6	18	into	into	ADP
iajs-4152	6	19	two	two	NUM
iajs-4152	6	20	distinct	distinct	ADJ
iajs-4152	6	21	groups	group	NOUN
iajs-4152	6	22	:	:	PUNCT
iajs-4152	6	23	immature	immature	ADJ
iajs-4152	6	24	prey	prey	NOUN
iajs-4152	6	25	and	and	CCONJ
iajs-4152	6	26	mature	mature	ADJ
iajs-4152	6	27	prey	prey	NOUN
iajs-4152	6	28	.	.	PUNCT
iajs-4152	7	1	we	we	PRON
iajs-4152	7	2	also	also	ADV
iajs-4152	7	3	divide	divide	VERB
iajs-4152	7	4	the	the	DET
iajs-4152	7	5	predator	predator	NOUN
iajs-4152	7	6	population	population	NOUN
iajs-4152	7	7	into	into	ADP
iajs-4152	7	8	immature	immature	ADJ
iajs-4152	7	9	and	and	CCONJ
iajs-4152	7	10	mature	mature	ADJ
iajs-4152	7	11	groups	group	NOUN
iajs-4152	7	12	.	.	PUNCT
iajs-4152	8	1	we	we	PRON
iajs-4152	8	2	assume	assume	VERB
iajs-4152	8	3	that	that	SCONJ
iajs-4152	8	4	only	only	ADJ
iajs-4152	8	5	immature	immature	ADJ
iajs-4152	8	6	predators	predator	NOUN
iajs-4152	8	7	are	be	AUX
iajs-4152	8	8	capable	capable	ADJ
iajs-4152	8	9	of	of	ADP
iajs-4152	8	10	attack	attack	NOUN
iajs-4152	8	11	,	,	PUNCT
iajs-4152	8	12	so	so	SCONJ
iajs-4152	8	13	they	they	PRON
iajs-4152	8	14	consume	consume	VERB
iajs-4152	8	15	each	each	DET
iajs-4152	8	16	immature	immature	ADJ
iajs-4152	8	17	and	and	CCONJ
iajs-4152	8	18	mature	mature	ADJ
iajs-4152	8	19	prey	prey	NOUN
iajs-4152	8	20	.	.	PUNCT
iajs-4152	9	1	additionally	additionally	ADV
iajs-4152	9	2	,	,	PUNCT
iajs-4152	9	3	the	the	DET
iajs-4152	9	4	rate	rate	NOUN
iajs-4152	9	5	of	of	ADP
iajs-4152	9	6	growth	growth	NOUN
iajs-4152	9	7	for	for	ADP
iajs-4152	9	8	immature	immature	ADJ
iajs-4152	9	9	prey	prey	NOUN
iajs-4152	9	10	based	base	VERB
iajs-4152	9	11	on	on	ADP
iajs-4152	9	12	the	the	DET
iajs-4152	9	13	amount	amount	NOUN
iajs-4152	9	14	of	of	ADP
iajs-4152	9	15	mature	mature	ADJ
iajs-4152	9	16	prey	prey	NOUN
iajs-4152	9	17	,	,	PUNCT
iajs-4152	9	18	as	as	SCONJ
iajs-4152	9	19	immature	immature	ADJ
iajs-4152	9	20	prey	prey	NOUN
iajs-4152	9	21	does	do	AUX
iajs-4152	9	22	not	not	PART
iajs-4152	9	23	have	have	VERB
iajs-4152	9	24	reproductive	reproductive	ADJ
iajs-4152	9	25	capability	capability	NOUN
iajs-4152	9	26	.	.	PUNCT
iajs-4152	10	1	we	we	PRON
iajs-4152	10	2	applied	apply	VERB
iajs-4152	10	3	holling	holle	VERB
iajs-4152	10	4	type	type	NOUN
iajs-4152	10	5	i	i	PRON
iajs-4152	10	6	and	and	CCONJ
iajs-4152	10	7	holling	holle	VERB
iajs-4152	10	8	type	type	NOUN
iajs-4152	10	9	iv	iv	NUM
iajs-4152	10	10	response	response	NOUN
iajs-4152	10	11	functions	function	NOUN
iajs-4152	10	12	to	to	PART
iajs-4152	10	13	describe	describe	VERB
iajs-4152	10	14	the	the	DET
iajs-4152	10	15	consumption	consumption	NOUN
iajs-4152	10	16	of	of	ADP
iajs-4152	10	17	immature	immature	ADJ
iajs-4152	10	18	and	and	CCONJ
iajs-4152	10	19	mature	mature	ADJ
iajs-4152	10	20	prey	prey	NOUN
iajs-4152	10	21	by	by	ADP
iajs-4152	10	22	immature	immature	ADJ
iajs-4152	10	23	predators	predator	NOUN
iajs-4152	10	24	,	,	PUNCT
iajs-4152	10	25	respectively	respectively	ADV
iajs-4152	10	26	.	.	PUNCT
iajs-4152	11	1	we	we	PRON
iajs-4152	11	2	conducted	conduct	VERB
iajs-4152	11	3	a	a	DET
iajs-4152	11	4	mathematical	mathematical	ADJ
iajs-4152	11	5	analysis	analysis	NOUN
iajs-4152	11	6	:	:	PUNCT
iajs-4152	11	7	boundedness	boundedness	NOUN
iajs-4152	11	8	of	of	ADP
iajs-4152	11	9	the	the	DET
iajs-4152	11	10	solution	solution	NOUN
iajs-4152	11	11	,	,	PUNCT
iajs-4152	11	12	the	the	DET
iajs-4152	11	13	presence	presence	NOUN
iajs-4152	11	14	of	of	ADP
iajs-4152	11	15	equilibrium	equilibrium	NOUN
iajs-4152	11	16	points	point	NOUN
iajs-4152	11	17	,	,	PUNCT
iajs-4152	11	18	and	and	CCONJ
iajs-4152	11	19	both	both	DET
iajs-4152	11	20	local	local	ADJ
iajs-4152	11	21	and	and	CCONJ
iajs-4152	11	22	global	global	ADJ
iajs-4152	11	23	stability	stability	NOUN
iajs-4152	11	24	of	of	ADP
iajs-4152	11	25	the	the	DET
iajs-4152	11	26	proposed	propose	VERB
iajs-4152	11	27	system	system	NOUN
iajs-4152	11	28	with	with	ADP
iajs-4152	11	29	respect	respect	NOUN
iajs-4152	11	30	to	to	ADP
iajs-4152	11	31	these	these	DET
iajs-4152	11	32	equilibrium	equilibrium	NOUN
iajs-4152	11	33	points	point	NOUN
iajs-4152	11	34	.	.	PUNCT
iajs-4152	12	1	we	we	PRON
iajs-4152	12	2	also	also	ADV
iajs-4152	12	3	performed	perform	VERB
iajs-4152	12	4	numerical	numerical	ADJ
iajs-4152	12	5	simulations	simulation	NOUN
iajs-4152	12	6	to	to	PART
iajs-4152	12	7	verify	verify	VERB
iajs-4152	12	8	the	the	DET
iajs-4152	12	9	theoretical	theoretical	ADJ
iajs-4152	12	10	results	result	NOUN
iajs-4152	12	11	.	.	PUNCT
iajs-4152	13	1	keywords	keyword	NOUN
iajs-4152	13	2	:	:	PUNCT
iajs-4152	13	3	prey	prey	VERB
iajs-4152	13	4	predator	predator	NOUN
iajs-4152	13	5	system	system	NOUN
iajs-4152	13	6	,	,	PUNCT
iajs-4152	13	7	stage	stage	NOUN
iajs-4152	13	8	structure	structure	NOUN
iajs-4152	13	9	,	,	PUNCT
iajs-4152	13	10	holling	holle	VERB
iajs-4152	13	11	type	type	NOUN
iajs-4152	13	12	,	,	PUNCT
iajs-4152	13	13	harvesting	harvesting	NOUN
iajs-4152	13	14	,	,	PUNCT
iajs-4152	13	15	fear	fear	NOUN
iajs-4152	13	16	effect	effect	NOUN
iajs-4152	13	17	.	.	PUNCT
iajs-4152	14	1	1	1	X
iajs-4152	14	2	.	.	X
iajs-4152	14	3	introduction	introduction	NOUN
iajs-4152	14	4	in	in	ADP
iajs-4152	14	5	recent	recent	ADJ
iajs-4152	14	6	years	year	NOUN
iajs-4152	14	7	mathematical	mathematical	ADJ
iajs-4152	14	8	models	model	NOUN
iajs-4152	14	9	have	have	AUX
iajs-4152	14	10	been	be	AUX
iajs-4152	14	11	become	become	VERB
iajs-4152	14	12	more	more	ADV
iajs-4152	14	13	important	important	ADJ
iajs-4152	14	14	and	and	CCONJ
iajs-4152	14	15	effectiveness	effectiveness	NOUN
iajs-4152	14	16	for	for	ADP
iajs-4152	14	17	understanding	understand	VERB
iajs-4152	14	18	how	how	SCONJ
iajs-4152	14	19	populations	population	NOUN
iajs-4152	14	20	change	change	VERB
iajs-4152	14	21	over	over	ADP
iajs-4152	14	22	time	time	NOUN
iajs-4152	14	23	.	.	PUNCT
iajs-4152	15	1	since	since	SCONJ
iajs-4152	15	2	the	the	DET
iajs-4152	15	3	development	development	NOUN
iajs-4152	15	4	of	of	ADP
iajs-4152	15	5	the	the	DET
iajs-4152	15	6	lotkavolterra	lotkavolterra	NOUN
iajs-4152	15	7	model	model	NOUN
iajs-4152	15	8	,	,	PUNCT
iajs-4152	15	9	significant	significant	ADJ
iajs-4152	15	10	advancements	advancement	NOUN
iajs-4152	15	11	in	in	ADP
iajs-4152	15	12	multi	multi	ADJ
iajs-4152	15	13	-	-	ADJ
iajs-4152	15	14	species	species	ADJ
iajs-4152	15	15	analysis	analysis	NOUN
iajs-4152	15	16	and	and	CCONJ
iajs-4152	15	17	modeling	modeling	NOUN
iajs-4152	15	18	have	have	AUX
iajs-4152	15	19	been	be	AUX
iajs-4152	15	20	made	make	VERB
iajs-4152	15	21	,	,	PUNCT
iajs-4152	15	22	often	often	ADV
iajs-4152	15	23	without	without	ADP
iajs-4152	15	24	considering	consider	VERB
iajs-4152	15	25	stage	stage	NOUN
iajs-4152	15	26	structure	structure	NOUN
iajs-4152	15	27	.	.	PUNCT
iajs-4152	16	1	however	however	ADV
iajs-4152	16	2	,	,	PUNCT
iajs-4152	16	3	recent	recent	ADJ
iajs-4152	16	4	investigations	investigation	NOUN
iajs-4152	16	5	have	have	AUX
iajs-4152	16	6	focused	focus	VERB
iajs-4152	16	7	on	on	ADP
iajs-4152	16	8	stage	stage	NOUN
iajs-4152	16	9	-	-	PUNCT
iajs-4152	16	10	structured	structure	VERB
iajs-4152	16	11	prey	prey	NOUN
iajs-4152	16	12	-	-	PUNCT
iajs-4152	16	13	predator	predator	NOUN
iajs-4152	16	14	systems	system	NOUN
iajs-4152	16	15	for	for	ADP
iajs-4152	16	16	both	both	DET
iajs-4152	16	17	species	specie	NOUN
iajs-4152	16	18	,	,	PUNCT
iajs-4152	16	19	analyzing	analyze	VERB
iajs-4152	16	20	their	their	PRON
iajs-4152	16	21	dynamic	dynamic	ADJ
iajs-4152	16	22	behavior	behavior	NOUN
iajs-4152	16	23	under	under	ADP
iajs-4152	16	24	the	the	DET
iajs-4152	16	25	effect	effect	NOUN
iajs-4152	16	26	of	of	ADP
iajs-4152	16	27	fear	fear	NOUN
iajs-4152	16	28	.	.	PUNCT
iajs-4152	17	1	many	many	ADJ
iajs-4152	17	2	studies	study	NOUN
iajs-4152	17	3	have	have	AUX
iajs-4152	17	4	focused	focus	VERB
iajs-4152	17	5	on	on	ADP
iajs-4152	17	6	researching	research	VERB
iajs-4152	17	7	the	the	DET
iajs-4152	17	8	dynamics	dynamic	NOUN
iajs-4152	17	9	of	of	ADP
iajs-4152	17	10	stage	stage	NOUN
iajs-4152	17	11	structure	structure	NOUN
iajs-4152	17	12	populations	population	NOUN
iajs-4152	17	13	by	by	ADP
iajs-4152	17	14	modeling	model	VERB
iajs-4152	17	15	the	the	DET
iajs-4152	17	16	two	two	NUM
iajs-4152	17	17	stages	stage	NOUN
iajs-4152	17	18	,	,	PUNCT
iajs-4152	17	19	whether	whether	SCONJ
iajs-4152	17	20	they	they	PRON
iajs-4152	17	21	are	be	AUX
iajs-4152	17	22	prey	prey	NOUN
iajs-4152	17	23	,	,	PUNCT
iajs-4152	17	24	predator	predator	NOUN
iajs-4152	17	25	,	,	PUNCT
iajs-4152	17	26	or	or	CCONJ
iajs-4152	17	27	both	both	PRON
iajs-4152	17	28	,	,	PUNCT
iajs-4152	17	29	for	for	ADP
iajs-4152	17	30	example	example	NOUN
iajs-4152	17	31	,	,	PUNCT
iajs-4152	17	32	chauhan	chauhan	PROPN
iajs-4152	17	33	et	et	NOUN
iajs-4152	17	34	al(1	al(1	PROPN
iajs-4152	17	35	)	)	PUNCT
iajs-4152	17	36	studied	study	VERB
iajs-4152	17	37	the	the	DET
iajs-4152	17	38	stage	stage	NOUN
iajs-4152	17	39	structure	structure	NOUN
iajs-4152	17	40	in	in	ADP
iajs-4152	17	41	fishery	fishery	NOUN
iajs-4152	17	42	model	model	NOUN
iajs-4152	17	43	.	.	PUNCT
iajs-4152	18	1	bhattacharjee	bhattacharjee	PROPN
iajs-4152	18	2	et	et	PROPN
iajs-4152	18	3	al	al	PROPN
iajs-4152	18	4	(	(	PUNCT
iajs-4152	18	5	2	2	NUM
iajs-4152	18	6	)	)	PUNCT
iajs-4152	18	7	predator	predator	NOUN
iajs-4152	18	8	species	specie	NOUN
iajs-4152	18	9	are	be	AUX
iajs-4152	18	10	analyzed	analyze	VERB
iajs-4152	18	11	in	in	ADP
iajs-4152	18	12	accordance	accordance	NOUN
iajs-4152	18	13	with	with	ADP
iajs-4152	18	14	stag	stag	NOUN
iajs-4152	18	15	structure	structure	NOUN
iajs-4152	18	16	.	.	PUNCT
iajs-4152	19	1	mortoja	mortoja	PROPN
iajs-4152	19	2	at	at	ADP
iajs-4152	19	3	el	el	PROPN
iajs-4152	19	4	(	(	PUNCT
iajs-4152	19	5	3	3	NUM
iajs-4152	19	6	)	)	PUNCT
iajs-4152	19	7	examined	examine	VERB
iajs-4152	19	8	stage	stage	NOUN
iajs-4152	19	9	structure	structure	NOUN
iajs-4152	19	10	in	in	ADP
iajs-4152	19	11	both	both	DET
iajs-4152	19	12	species	specie	NOUN
iajs-4152	19	13	.	.	PUNCT
iajs-4152	20	1	pang	pang	NOUN
iajs-4152	20	2	and	and	CCONJ
iajs-4152	20	3	gao	gao	PROPN
iajs-4152	20	4	(	(	PUNCT
iajs-4152	20	5	4	4	NUM
iajs-4152	20	6	)	)	PUNCT
iajs-4152	20	7	explored	explore	VERB
iajs-4152	20	8	the	the	DET
iajs-4152	20	9	stage	stage	NOUN
iajs-4152	20	10	structure	structure	NOUN
iajs-4152	20	11	in	in	ADP
iajs-4152	20	12	prey	prey	PROPN
iajs-4152	20	13	species	species	PROPN
iajs-4152	20	14	.	.	PUNCT
iajs-4152	21	1	nasra	nasra	NOUN
iajs-4152	21	2	at	at	ADP
iajs-4152	21	3	el	el	PROPN
iajs-4152	21	4	(	(	PUNCT
iajs-4152	21	5	5	5	NUM
iajs-4152	21	6	)	)	PUNCT
iajs-4152	21	7	developed	develop	VERB
iajs-4152	21	8	the	the	DET
iajs-4152	21	9	stage	stage	NOUN
iajs-4152	21	10	structure	structure	NOUN
iajs-4152	21	11	prey	prey	NOUN
iajs-4152	21	12	predator	predator	NOUN
iajs-4152	21	13	model	model	NOUN
iajs-4152	21	14	in	in	ADP
iajs-4152	21	15	four	four	NUM
iajs-4152	21	16	dimensions	dimension	NOUN
iajs-4152	21	17	.	.	PUNCT
iajs-4152	22	1	such	such	ADJ
iajs-4152	22	2	that	that	SCONJ
iajs-4152	22	3	more	more	ADJ
iajs-4152	22	4	research	research	NOUN
iajs-4152	22	5	discussed	discuss	VERB
iajs-4152	22	6	preypredator	preypredator	NOUN
iajs-4152	22	7	system	system	NOUN
iajs-4152	22	8	in	in	ADP
iajs-4152	22	9	several	several	ADJ
iajs-4152	22	10	group	group	NOUN
iajs-4152	22	11	like	like	ADP
iajs-4152	22	12	immature	immature	ADJ
iajs-4152	22	13	and	and	CCONJ
iajs-4152	22	14	mature	mature	ADJ
iajs-4152	22	15	species	specie	NOUN
iajs-4152	22	16	,	,	PUNCT
iajs-4152	22	17	see	see	VERB
iajs-4152	22	18	(	(	PUNCT
iajs-4152	22	19	6–10	6–10	NOUN
iajs-4152	22	20	)	)	PUNCT
iajs-4152	22	21	.	.	PUNCT
iajs-4152	23	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	INTJ
iajs-4152	23	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	23	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	23	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	23	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	23	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	24	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	24	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	24	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	24	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	24	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	24	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	25	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	25	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	25	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	25	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	25	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	25	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	26	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	26	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	26	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	26	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	26	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	26	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	27	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	27	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	27	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	27	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	27	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	27	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	28	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	28	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	28	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	28	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	28	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	28	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	29	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	29	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	29	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	29	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	29	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	29	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	30	1	https://orcid.org/0000-0002-0327-7916	https://orcid.org/0000-0002-0327-7916	PROPN
iajs-4152	30	2	mailto:bushra_eesa@yahoo.com	mailto:bushra_eesa@yahoo.com	PROPN
iajs-4152	30	3	https://orcid.org/0009-0007-7883-5875	https://orcid.org/0009-0007-7883-5875	PROPN
iajs-4152	30	4	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	mailto:hassan.fadhil.r@sc.uobaghdad.edu.iq	PROPN
iajs-4152	30	5	https://orcid.org/0000-0002-5460-3718	https://orcid.org/0000-0002-5460-3718	PROPN
iajs-4152	30	6	mailto:anwar@cuiatd.edu.pk	mailto:anwar@cuiatd.edu.pk	NOUN
iajs-4152	30	7	ihjpas	ihjpa	VERB
iajs-4152	30	8	.	.	PUNCT
iajs-4152	31	1	2025,38(4	2025,38(4	X
iajs-4152	31	2	)	)	PUNCT
iajs-4152	31	3	409	409	NUM
iajs-4152	31	4	ecological	ecological	ADJ
iajs-4152	31	5	models	model	NOUN
iajs-4152	31	6	widely	widely	ADV
iajs-4152	31	7	use	use	VERB
iajs-4152	31	8	the	the	DET
iajs-4152	31	9	predator	predator	NOUN
iajs-4152	31	10	's	's	PART
iajs-4152	31	11	response	response	NOUN
iajs-4152	31	12	to	to	ADP
iajs-4152	31	13	fluctuations	fluctuation	NOUN
iajs-4152	31	14	in	in	ADP
iajs-4152	31	15	prey	prey	NOUN
iajs-4152	31	16	relationships	relationship	NOUN
iajs-4152	31	17	,	,	PUNCT
iajs-4152	31	18	known	know	VERB
iajs-4152	31	19	as	as	ADP
iajs-4152	31	20	the	the	DET
iajs-4152	31	21	functional	functional	ADJ
iajs-4152	31	22	response	response	NOUN
iajs-4152	31	23	,	,	PUNCT
iajs-4152	31	24	which	which	PRON
iajs-4152	31	25	can	can	AUX
iajs-4152	31	26	take	take	VERB
iajs-4152	31	27	various	various	ADJ
iajs-4152	31	28	forms	form	NOUN
iajs-4152	31	29	.	.	PUNCT
iajs-4152	32	1	stage	stage	NOUN
iajs-4152	32	2	structure	structure	NOUN
iajs-4152	32	3	preypredator	preypredator	NOUN
iajs-4152	32	4	relationships	relationship	NOUN
iajs-4152	32	5	exhibit	exhibit	VERB
iajs-4152	32	6	several	several	ADJ
iajs-4152	32	7	well	well	ADV
iajs-4152	32	8	-	-	PUNCT
iajs-4152	32	9	known	know	VERB
iajs-4152	32	10	functional	functional	ADJ
iajs-4152	32	11	responses	response	NOUN
iajs-4152	32	12	.	.	PUNCT
iajs-4152	33	1	for	for	ADP
iajs-4152	33	2	instance	instance	NOUN
iajs-4152	33	3	,	,	PUNCT
iajs-4152	33	4	shi	shi	PROPN
iajs-4152	33	5	at	at	ADP
iajs-4152	33	6	el	el	PROPN
iajs-4152	33	7	(	(	PUNCT
iajs-4152	33	8	11	11	NUM
iajs-4152	33	9	)	)	PUNCT
iajs-4152	33	10	examined	examine	VERB
iajs-4152	33	11	at	at	ADP
iajs-4152	33	12	the	the	DET
iajs-4152	33	13	prey	prey	NOUN
iajs-4152	33	14	-	-	PUNCT
iajs-4152	33	15	predator	predator	NOUN
iajs-4152	33	16	concept	concept	NOUN
iajs-4152	33	17	of	of	ADP
iajs-4152	33	18	stage	stage	NOUN
iajs-4152	33	19	structure	structure	NOUN
iajs-4152	33	20	with	with	ADP
iajs-4152	33	21	holling	holle	VERB
iajs-4152	33	22	type	type	NOUN
iajs-4152	33	23	ii	ii	NOUN
iajs-4152	33	24	functional	functional	ADJ
iajs-4152	33	25	response	response	NOUN
iajs-4152	33	26	..	..	PUNCT
iajs-4152	34	1	lu	lu	PROPN
iajs-4152	34	2	at	at	ADP
iajs-4152	34	3	el	el	PROPN
iajs-4152	34	4	(	(	PUNCT
iajs-4152	34	5	12	12	NUM
iajs-4152	34	6	)	)	PUNCT
iajs-4152	34	7	proposed	propose	VERB
iajs-4152	34	8	periodic	periodic	ADJ
iajs-4152	34	9	solution	solution	NOUN
iajs-4152	34	10	for	for	ADP
iajs-4152	34	11	the	the	DET
iajs-4152	34	12	prey	prey	NOUN
iajs-4152	34	13	predator	predator	NOUN
iajs-4152	34	14	system	system	NOUN
iajs-4152	34	15	involving	involve	VERB
iajs-4152	34	16	stage	stage	NOUN
iajs-4152	34	17	structure	structure	NOUN
iajs-4152	34	18	and	and	CCONJ
iajs-4152	34	19	crowley	crowley	PROPN
iajs-4152	34	20	-	-	PUNCT
iajs-4152	34	21	martin	martin	PROPN
iajs-4152	34	22	response	response	NOUN
iajs-4152	34	23	function	function	NOUN
iajs-4152	34	24	.	.	PUNCT
iajs-4152	35	1	chen	chen	PROPN
iajs-4152	35	2	and	and	CCONJ
iajs-4152	35	3	chen	chen	PROPN
iajs-4152	35	4	(	(	PUNCT
iajs-4152	35	5	13	13	NUM
iajs-4152	35	6	)	)	PUNCT
iajs-4152	35	7	established	establish	VERB
iajs-4152	35	8	stage	stage	NOUN
iajs-4152	35	9	structure	structure	NOUN
iajs-4152	35	10	prey	prey	NOUN
iajs-4152	35	11	predator	predator	NOUN
iajs-4152	35	12	model	model	NOUN
iajs-4152	35	13	with	with	ADP
iajs-4152	35	14	holling	holle	VERB
iajs-4152	35	15	type	type	NOUN
iajs-4152	35	16	iii	iii	NUM
iajs-4152	35	17	functional	functional	ADJ
iajs-4152	35	18	response	response	NOUN
iajs-4152	35	19	.	.	PUNCT
iajs-4152	36	1	pandey	pandey	PROPN
iajs-4152	36	2	at	at	ADP
iajs-4152	36	3	el	el	PROPN
iajs-4152	36	4	(	(	PUNCT
iajs-4152	36	5	14	14	NUM
iajs-4152	36	6	)	)	PUNCT
iajs-4152	36	7	developed	develop	VERB
iajs-4152	36	8	delay	delay	NOUN
iajs-4152	36	9	stage	stage	NOUN
iajs-4152	36	10	structure	structure	NOUN
iajs-4152	36	11	prey	prey	NOUN
iajs-4152	36	12	predator	predator	NOUN
iajs-4152	36	13	model	model	NOUN
iajs-4152	36	14	with	with	ADP
iajs-4152	36	15	holling	holle	VERB
iajs-4152	36	16	type	type	NOUN
iajs-4152	37	1	i	i	PRON
iajs-4152	37	2	and	and	CCONJ
iajs-4152	37	3	type	type	NOUN
iajs-4152	37	4	ii	ii	PROPN
iajs-4152	37	5	functional	functional	ADJ
iajs-4152	37	6	response	response	NOUN
iajs-4152	37	7	didiharyono	didiharyono	NOUN
iajs-4152	37	8	at	at	ADP
iajs-4152	37	9	el	el	PROPN
iajs-4152	37	10	(	(	PUNCT
iajs-4152	37	11	15	15	NUM
iajs-4152	37	12	)	)	PUNCT
iajs-4152	37	13	studied	study	VERB
iajs-4152	37	14	the	the	DET
iajs-4152	37	15	global	global	ADJ
iajs-4152	37	16	stability	stability	NOUN
iajs-4152	37	17	to	to	PART
iajs-4152	37	18	prey	prey	VERB
iajs-4152	37	19	predator	predator	NOUN
iajs-4152	37	20	system	system	NOUN
iajs-4152	37	21	with	with	ADP
iajs-4152	37	22	crowley	crowley	PROPN
iajs-4152	37	23	-	-	PUNCT
iajs-4152	37	24	martin	martin	PROPN
iajs-4152	37	25	and	and	CCONJ
iajs-4152	37	26	stage	stage	NOUN
iajs-4152	37	27	structure	structure	NOUN
iajs-4152	37	28	in	in	ADP
iajs-4152	37	29	the	the	DET
iajs-4152	37	30	predator	predator	NOUN
iajs-4152	37	31	.	.	PUNCT
iajs-4152	38	1	the	the	DET
iajs-4152	38	2	response	response	NOUN
iajs-4152	38	3	of	of	ADP
iajs-4152	38	4	predators	predator	NOUN
iajs-4152	38	5	to	to	PART
iajs-4152	38	6	changes	change	NOUN
iajs-4152	38	7	in	in	ADP
iajs-4152	38	8	prey	prey	PROPN
iajs-4152	38	9	availability	availability	NOUN
iajs-4152	38	10	is	be	AUX
iajs-4152	38	11	a	a	DET
iajs-4152	38	12	critical	critical	ADJ
iajs-4152	38	13	aspect	aspect	NOUN
iajs-4152	38	14	of	of	ADP
iajs-4152	38	15	ecological	ecological	ADJ
iajs-4152	38	16	dynamics	dynamic	NOUN
iajs-4152	38	17	.	.	PUNCT
iajs-4152	39	1	researchers	researcher	NOUN
iajs-4152	39	2	have	have	AUX
iajs-4152	39	3	studied	study	VERB
iajs-4152	39	4	predator	predator	NOUN
iajs-4152	39	5	feeding	feeding	NOUN
iajs-4152	39	6	behaviors	behavior	NOUN
iajs-4152	39	7	and	and	CCONJ
iajs-4152	39	8	predation	predation	NOUN
iajs-4152	39	9	habits	habit	NOUN
iajs-4152	39	10	extensively	extensively	ADV
iajs-4152	39	11	,	,	PUNCT
iajs-4152	39	12	(	(	PUNCT
iajs-4152	39	13	16–20	16–20	NUM
iajs-4152	39	14	)	)	PUNCT
iajs-4152	39	15	harvesting	harvesting	NOUN
iajs-4152	39	16	is	be	AUX
iajs-4152	39	17	a	a	DET
iajs-4152	39	18	great	great	ADJ
iajs-4152	39	19	strategy	strategy	NOUN
iajs-4152	39	20	for	for	ADP
iajs-4152	39	21	regulation	regulation	NOUN
iajs-4152	39	22	predator	predator	NOUN
iajs-4152	39	23	and	and	CCONJ
iajs-4152	39	24	prey	prey	NOUN
iajs-4152	39	25	populations	population	NOUN
iajs-4152	39	26	for	for	ADP
iajs-4152	39	27	ensuring	ensure	VERB
iajs-4152	39	28	healthy	healthy	ADJ
iajs-4152	39	29	development	development	NOUN
iajs-4152	39	30	while	while	SCONJ
iajs-4152	39	31	generating	generate	VERB
iajs-4152	39	32	economic	economic	ADJ
iajs-4152	39	33	benefits	benefit	NOUN
iajs-4152	39	34	(	(	PUNCT
iajs-4152	39	35	21–25	21–25	NUM
iajs-4152	39	36	)	)	PUNCT
iajs-4152	39	37	prey	prey	PROPN
iajs-4152	39	38	’s	’s	PART
iajs-4152	39	39	fear	fear	NOUN
iajs-4152	39	40	of	of	ADP
iajs-4152	39	41	predators	predator	NOUN
iajs-4152	39	42	is	be	AUX
iajs-4152	39	43	an	an	DET
iajs-4152	39	44	essential	essential	ADJ
iajs-4152	39	45	component	component	NOUN
iajs-4152	39	46	of	of	ADP
iajs-4152	39	47	the	the	DET
iajs-4152	39	48	prey	prey	NOUN
iajs-4152	39	49	-	-	PUNCT
iajs-4152	39	50	predator	predator	NOUN
iajs-4152	39	51	system	system	NOUN
iajs-4152	39	52	,	,	PUNCT
iajs-4152	39	53	describing	describe	VERB
iajs-4152	39	54	the	the	DET
iajs-4152	39	55	relationship	relationship	NOUN
iajs-4152	39	56	between	between	ADP
iajs-4152	39	57	predators	predator	NOUN
iajs-4152	39	58	and	and	CCONJ
iajs-4152	39	59	their	their	PRON
iajs-4152	39	60	prey	prey	NOUN
iajs-4152	39	61	.	.	PUNCT
iajs-4152	40	1	this	this	DET
iajs-4152	40	2	fear	fear	NOUN
iajs-4152	40	3	results	result	NOUN
iajs-4152	40	4	from	from	ADP
iajs-4152	40	5	cooperative	cooperative	ADJ
iajs-4152	40	6	hunting	hunting	NOUN
iajs-4152	40	7	behaviors	behavior	NOUN
iajs-4152	40	8	among	among	ADP
iajs-4152	40	9	predators	predator	NOUN
iajs-4152	40	10	,	,	PUNCT
iajs-4152	40	11	which	which	PRON
iajs-4152	40	12	make	make	VERB
iajs-4152	40	13	prey	prey	NOUN
iajs-4152	40	14	more	more	ADV
iajs-4152	40	15	afraid	afraid	ADJ
iajs-4152	40	16	of	of	ADP
iajs-4152	40	17	them	they	PRON
iajs-4152	40	18	.	.	PUNCT
iajs-4152	41	1	recently	recently	ADV
iajs-4152	41	2	,	,	PUNCT
iajs-4152	41	3	several	several	ADJ
iajs-4152	41	4	researchers	researcher	NOUN
iajs-4152	41	5	have	have	AUX
iajs-4152	41	6	begun	begin	VERB
iajs-4152	41	7	investigating	investigate	VERB
iajs-4152	41	8	how	how	SCONJ
iajs-4152	41	9	fear	fear	NOUN
iajs-4152	41	10	alters	alter	VERB
iajs-4152	41	11	the	the	DET
iajs-4152	41	12	behavior	behavior	NOUN
iajs-4152	41	13	of	of	ADP
iajs-4152	41	14	prey	prey	NOUN
iajs-4152	41	15	-	-	PUNCT
iajs-4152	41	16	predator	predator	NOUN
iajs-4152	41	17	system	system	NOUN
iajs-4152	41	18	.	.	PUNCT
iajs-4152	42	1	for	for	ADP
iajs-4152	42	2	example	example	NOUN
iajs-4152	42	3	,	,	PUNCT
iajs-4152	42	4	it	it	PRON
iajs-4152	42	5	was	be	AUX
iajs-4152	42	6	examined	examine	VERB
iajs-4152	42	7	the	the	DET
iajs-4152	42	8	impact	impact	NOUN
iajs-4152	42	9	of	of	ADP
iajs-4152	42	10	fear	fear	NOUN
iajs-4152	42	11	within	within	ADP
iajs-4152	42	12	the	the	DET
iajs-4152	42	13	context	context	NOUN
iajs-4152	42	14	of	of	ADP
iajs-4152	42	15	the	the	DET
iajs-4152	42	16	prey	prey	NOUN
iajs-4152	42	17	predator	predator	NOUN
iajs-4152	42	18	scavenger	scavenger	NOUN
iajs-4152	42	19	system	system	NOUN
iajs-4152	42	20	by	by	ADP
iajs-4152	42	21	(	(	PUNCT
iajs-4152	42	22	26	26	NUM
iajs-4152	42	23	)	)	PUNCT
iajs-4152	42	24	.	.	PUNCT
iajs-4152	43	1	it	it	PRON
iajs-4152	43	2	was	be	AUX
iajs-4152	43	3	studied	study	VERB
iajs-4152	43	4	the	the	DET
iajs-4152	43	5	impact	impact	NOUN
iajs-4152	43	6	of	of	ADP
iajs-4152	43	7	fear	fear	NOUN
iajs-4152	43	8	within	within	ADP
iajs-4152	43	9	a	a	DET
iajs-4152	43	10	prey	prey	NOUN
iajs-4152	43	11	-	-	PUNCT
iajs-4152	43	12	predator	predator	NOUN
iajs-4152	43	13	system	system	NOUN
iajs-4152	43	14	including	include	VERB
iajs-4152	43	15	refuge	refuge	NOUN
iajs-4152	43	16	of	of	ADP
iajs-4152	43	17	prey	prey	NOUN
iajs-4152	43	18	and	and	CCONJ
iajs-4152	43	19	gestation	gestation	NOUN
iajs-4152	43	20	delay	delay	NOUN
iajs-4152	43	21	(	(	PUNCT
iajs-4152	43	22	27	27	NUM
iajs-4152	43	23	)	)	PUNCT
iajs-4152	43	24	.	.	PUNCT
iajs-4152	44	1	it	it	PRON
iajs-4152	44	2	was	be	AUX
iajs-4152	44	3	analyzed	analyze	VERB
iajs-4152	44	4	a	a	DET
iajs-4152	44	5	predator	predator	NOUN
iajs-4152	44	6	-	-	PUNCT
iajs-4152	44	7	prey	prey	NOUN
iajs-4152	44	8	model	model	NOUN
iajs-4152	44	9	that	that	PRON
iajs-4152	44	10	includes	include	VERB
iajs-4152	44	11	fear	fear	NOUN
iajs-4152	44	12	in	in	ADP
iajs-4152	44	13	prey	prey	NOUN
iajs-4152	44	14	,	,	PUNCT
iajs-4152	44	15	cooperative	cooperative	ADJ
iajs-4152	44	16	hunting	hunting	NOUN
iajs-4152	44	17	among	among	ADP
iajs-4152	44	18	predators	predator	NOUN
iajs-4152	44	19	,	,	PUNCT
iajs-4152	44	20	and	and	CCONJ
iajs-4152	44	21	harvesting	harvesting	NOUN
iajs-4152	44	22	(	(	PUNCT
iajs-4152	44	23	28	28	NUM
iajs-4152	44	24	)	)	PUNCT
iajs-4152	44	25	.	.	PUNCT
iajs-4152	45	1	it	it	PRON
iajs-4152	45	2	was	be	AUX
iajs-4152	45	3	looked	look	VERB
iajs-4152	45	4	into	into	ADP
iajs-4152	45	5	how	how	SCONJ
iajs-4152	45	6	stable	stable	ADJ
iajs-4152	45	7	a	a	DET
iajs-4152	45	8	fear	fear	NOUN
iajs-4152	45	9	-	-	PUNCT
iajs-4152	45	10	based	base	VERB
iajs-4152	45	11	predator	predator	NOUN
iajs-4152	45	12	-	-	PUNCT
iajs-4152	45	13	prey	prey	NOUN
iajs-4152	45	14	model	model	NOUN
iajs-4152	45	15	is	be	AUX
iajs-4152	45	16	when	when	SCONJ
iajs-4152	45	17	there	there	PRON
iajs-4152	45	18	is	be	VERB
iajs-4152	45	19	interfering	interfere	VERB
iajs-4152	45	20	behaviour	behaviour	NOUN
iajs-4152	45	21	or	or	CCONJ
iajs-4152	45	22	common	common	ADJ
iajs-4152	45	23	defence	defence	NOUN
iajs-4152	45	24	by	by	ADP
iajs-4152	45	25	(	(	PUNCT
iajs-4152	45	26	29	29	NUM
iajs-4152	45	27	)	)	PUNCT
iajs-4152	45	28	.	.	PUNCT
iajs-4152	46	1	additionally	additionally	ADV
iajs-4152	46	2	,	,	PUNCT
iajs-4152	46	3	it	it	PRON
iajs-4152	46	4	was	be	AUX
iajs-4152	46	5	examined	examine	VERB
iajs-4152	46	6	stability	stability	NOUN
iajs-4152	46	7	and	and	CCONJ
iajs-4152	46	8	hopf	hopf	ADJ
iajs-4152	46	9	bifurcation	bifurcation	NOUN
iajs-4152	46	10	in	in	ADP
iajs-4152	46	11	a	a	DET
iajs-4152	46	12	delayed	delay	VERB
iajs-4152	46	13	prey	prey	NOUN
iajs-4152	46	14	-	-	PUNCT
iajs-4152	46	15	predator	predator	NOUN
iajs-4152	46	16	system	system	NOUN
iajs-4152	46	17	that	that	PRON
iajs-4152	46	18	includes	include	VERB
iajs-4152	46	19	fear	fear	NOUN
iajs-4152	46	20	,	,	PUNCT
iajs-4152	46	21	cooperative	cooperative	ADJ
iajs-4152	46	22	hunting	hunting	NOUN
iajs-4152	46	23	,	,	PUNCT
iajs-4152	46	24	and	and	CCONJ
iajs-4152	46	25	the	the	DET
iajs-4152	46	26	allee	allee	ADJ
iajs-4152	46	27	effect	effect	NOUN
iajs-4152	46	28	by	by	ADP
iajs-4152	46	29	(	(	PUNCT
iajs-4152	46	30	30	30	NUM
iajs-4152	46	31	)	)	PUNCT
iajs-4152	46	32	.	.	PUNCT
iajs-4152	47	1	this	this	DET
iajs-4152	47	2	work	work	NOUN
iajs-4152	47	3	proposes	propose	VERB
iajs-4152	47	4	and	and	CCONJ
iajs-4152	47	5	analyzes	analyze	VERB
iajs-4152	47	6	a	a	DET
iajs-4152	47	7	prey	prey	NOUN
iajs-4152	47	8	-	-	PUNCT
iajs-4152	47	9	predator	predator	NOUN
iajs-4152	47	10	system	system	NOUN
iajs-4152	47	11	with	with	ADP
iajs-4152	47	12	stage	stage	NOUN
iajs-4152	47	13	structured	structure	VERB
iajs-4152	47	14	that	that	PRON
iajs-4152	47	15	incorporates	incorporate	VERB
iajs-4152	47	16	the	the	DET
iajs-4152	47	17	fear	fear	NOUN
iajs-4152	47	18	effect	effect	NOUN
iajs-4152	47	19	and	and	CCONJ
iajs-4152	47	20	several	several	ADJ
iajs-4152	47	21	fundamental	fundamental	ADJ
iajs-4152	47	22	parameters	parameter	NOUN
iajs-4152	47	23	.	.	PUNCT
iajs-4152	48	1	these	these	DET
iajs-4152	48	2	parameters	parameter	NOUN
iajs-4152	48	3	significantly	significantly	ADV
iajs-4152	48	4	influence	influence	VERB
iajs-4152	48	5	interactions	interaction	NOUN
iajs-4152	48	6	between	between	ADP
iajs-4152	48	7	immature	immature	ADJ
iajs-4152	48	8	prey	prey	NOUN
iajs-4152	48	9	,	,	PUNCT
iajs-4152	48	10	mature	mature	ADJ
iajs-4152	48	11	prey	prey	NOUN
iajs-4152	48	12	,	,	PUNCT
iajs-4152	48	13	immature	immature	ADJ
iajs-4152	48	14	predators	predator	NOUN
iajs-4152	48	15	,	,	PUNCT
iajs-4152	48	16	and	and	CCONJ
iajs-4152	48	17	mature	mature	ADJ
iajs-4152	48	18	predators	predator	NOUN
iajs-4152	48	19	.	.	PUNCT
iajs-4152	49	1	this	this	DET
iajs-4152	49	2	work	work	NOUN
iajs-4152	49	3	is	be	AUX
iajs-4152	49	4	structured	structure	VERB
iajs-4152	49	5	in	in	ADP
iajs-4152	49	6	this	this	DET
iajs-4152	49	7	way	way	NOUN
iajs-4152	49	8	:	:	PUNCT
iajs-4152	49	9	section	section	NOUN
iajs-4152	49	10	2.1	2.1	NUM
iajs-4152	49	11	provides	provide	VERB
iajs-4152	49	12	the	the	DET
iajs-4152	49	13	assumptions	assumption	NOUN
iajs-4152	49	14	and	and	CCONJ
iajs-4152	49	15	formulation	formulation	NOUN
iajs-4152	49	16	for	for	ADP
iajs-4152	49	17	the	the	DET
iajs-4152	49	18	system	system	NOUN
iajs-4152	49	19	.	.	PUNCT
iajs-4152	50	1	sections	section	NOUN
iajs-4152	50	2	2.2–2.5	2.2–2.5	NOUN
iajs-4152	50	3	discuss	discuss	VERB
iajs-4152	50	4	the	the	DET
iajs-4152	50	5	system	system	NOUN
iajs-4152	50	6	's	's	PART
iajs-4152	50	7	dynamic	dynamic	ADJ
iajs-4152	50	8	behavior	behavior	NOUN
iajs-4152	50	9	,	,	PUNCT
iajs-4152	50	10	including	include	VERB
iajs-4152	50	11	the	the	DET
iajs-4152	50	12	boundedness	boundedness	NOUN
iajs-4152	50	13	and	and	CCONJ
iajs-4152	50	14	existence	existence	NOUN
iajs-4152	50	15	of	of	ADP
iajs-4152	50	16	solutions	solution	NOUN
iajs-4152	50	17	,	,	PUNCT
iajs-4152	50	18	as	as	ADV
iajs-4152	50	19	well	well	ADV
iajs-4152	50	20	as	as	ADP
iajs-4152	50	21	the	the	DET
iajs-4152	50	22	system	system	NOUN
iajs-4152	50	23	's	's	PART
iajs-4152	50	24	stability	stability	NOUN
iajs-4152	50	25	analysis	analysis	NOUN
iajs-4152	50	26	.	.	PUNCT
iajs-4152	51	1	additionally	additionally	ADV
iajs-4152	51	2	,	,	PUNCT
iajs-4152	51	3	section	section	NOUN
iajs-4152	51	4	3	3	NUM
iajs-4152	51	5	includes	include	VERB
iajs-4152	51	6	numerical	numerical	ADJ
iajs-4152	51	7	simulations	simulation	NOUN
iajs-4152	51	8	to	to	PART
iajs-4152	51	9	support	support	VERB
iajs-4152	51	10	the	the	DET
iajs-4152	51	11	theoretical	theoretical	ADJ
iajs-4152	51	12	findings	finding	NOUN
iajs-4152	51	13	.	.	PUNCT
iajs-4152	52	1	the	the	DET
iajs-4152	52	2	conclusion	conclusion	NOUN
iajs-4152	52	3	is	be	AUX
iajs-4152	52	4	given	give	VERB
iajs-4152	52	5	in	in	ADP
iajs-4152	52	6	the	the	DET
iajs-4152	52	7	last	last	ADJ
iajs-4152	52	8	section	section	NOUN
iajs-4152	52	9	.	.	PUNCT
iajs-4152	53	1	2	2	X
iajs-4152	53	2	.	.	X
iajs-4152	53	3	system	system	NOUN
iajs-4152	53	4	formulation	formulation	NOUN
iajs-4152	53	5	this	this	DET
iajs-4152	53	6	section	section	NOUN
iajs-4152	53	7	presents	present	VERB
iajs-4152	53	8	a	a	DET
iajs-4152	53	9	mathematical	mathematical	ADJ
iajs-4152	53	10	model	model	NOUN
iajs-4152	53	11	for	for	ADP
iajs-4152	53	12	an	an	DET
iajs-4152	53	13	ecological	ecological	ADJ
iajs-4152	53	14	prey	prey	NOUN
iajs-4152	53	15	–	–	PUNCT
iajs-4152	53	16	predator	predator	NOUN
iajs-4152	53	17	system	system	NOUN
iajs-4152	53	18	,	,	PUNCT
iajs-4152	53	19	incorporating	incorporate	VERB
iajs-4152	53	20	biological	biological	ADJ
iajs-4152	53	21	aspects	aspect	NOUN
iajs-4152	53	22	based	base	VERB
iajs-4152	53	23	on	on	ADP
iajs-4152	53	24	the	the	DET
iajs-4152	53	25	following	follow	VERB
iajs-4152	53	26	assumptions	assumption	NOUN
iajs-4152	53	27	:	:	PUNCT
iajs-4152	53	28	the	the	DET
iajs-4152	53	29	stage	stage	NOUN
iajs-4152	53	30	structure	structure	NOUN
iajs-4152	53	31	of	of	ADP
iajs-4152	53	32	both	both	CCONJ
iajs-4152	53	33	predator	predator	NOUN
iajs-4152	53	34	and	and	CCONJ
iajs-4152	53	35	prey	prey	NOUN
iajs-4152	53	36	divides	divide	VERB
iajs-4152	53	37	the	the	DET
iajs-4152	53	38	population	population	NOUN
iajs-4152	53	39	of	of	ADP
iajs-4152	53	40	prey	prey	PROPN
iajs-4152	53	41	,	,	PUNCT
iajs-4152	53	42	,	,	PUNCT
iajs-4152	53	43	into	into	ADP
iajs-4152	53	44	two	two	NUM
iajs-4152	53	45	classes	class	NOUN
iajs-4152	53	46	:	:	PUNCT
iajs-4152	53	47	immature	immature	ADJ
iajs-4152	53	48	prey	prey	NOUN
iajs-4152	53	49	(	(	PUNCT
iajs-4152	53	50	)	)	PUNCT
iajs-4152	53	51	and	and	CCONJ
iajs-4152	53	52	mature	mature	ADJ
iajs-4152	53	53	prey	prey	NOUN
iajs-4152	53	54	(	(	PUNCT
iajs-4152	53	55	)	)	PUNCT
iajs-4152	53	56	,	,	PUNCT
iajs-4152	53	57	so	so	ADV
iajs-4152	53	58	:	:	PUNCT
iajs-4152	53	59	.	.	PUNCT
iajs-4152	54	1	similarly	similarly	ADV
iajs-4152	54	2	,	,	PUNCT
iajs-4152	54	3	the	the	DET
iajs-4152	54	4	predator	predator	NOUN
iajs-4152	54	5	population	population	NOUN
iajs-4152	54	6	,	,	PUNCT
iajs-4152	54	7	,	,	PUNCT
iajs-4152	54	8	is	be	AUX
iajs-4152	54	9	categorized	categorize	VERB
iajs-4152	54	10	into	into	ADP
iajs-4152	54	11	immature	immature	ADJ
iajs-4152	54	12	predators	predator	NOUN
iajs-4152	54	13	(	(	PUNCT
iajs-4152	54	14	)	)	PUNCT
iajs-4152	54	15	and	and	CCONJ
iajs-4152	54	16	mature	mature	ADJ
iajs-4152	54	17	predators	predator	NOUN
iajs-4152	54	18	(	(	PUNCT
iajs-4152	54	19	)	)	PUNCT
iajs-4152	54	20	,	,	PUNCT
iajs-4152	54	21	resulting	result	VERB
iajs-4152	54	22	in	in	ADP
iajs-4152	54	23	:	:	PUNCT
iajs-4152	54	24	in	in	ADP
iajs-4152	54	25	the	the	DET
iajs-4152	54	26	absence	absence	NOUN
iajs-4152	54	27	of	of	ADP
iajs-4152	54	28	predators	predator	NOUN
iajs-4152	54	29	and	and	CCONJ
iajs-4152	54	30	fear	fear	NOUN
iajs-4152	54	31	,	,	PUNCT
iajs-4152	54	32	the	the	DET
iajs-4152	54	33	rate	rate	NOUN
iajs-4152	54	34	of	of	ADP
iajs-4152	54	35	birth	birth	NOUN
iajs-4152	54	36	for	for	ADP
iajs-4152	54	37	mature	mature	ADJ
iajs-4152	54	38	prey	prey	NOUN
iajs-4152	54	39	is	be	AUX
iajs-4152	54	40	directly	directly	ADV
iajs-4152	54	41	proportional	proportional	ADJ
iajs-4152	54	42	to	to	ADP
iajs-4152	54	43	the	the	DET
iajs-4152	54	44	population	population	NOUN
iajs-4152	54	45	of	of	ADP
iajs-4152	54	46	immature	immature	ADJ
iajs-4152	54	47	prey	prey	NOUN
iajs-4152	54	48	species	specie	NOUN
iajs-4152	54	49	.	.	PUNCT
iajs-4152	55	1	on	on	ADP
iajs-4152	55	2	other	other	ADJ
iajs-4152	55	3	hand	hand	NOUN
iajs-4152	55	4	,	,	PUNCT
iajs-4152	55	5	a	a	DET
iajs-4152	55	6	predatory	predatory	ADJ
iajs-4152	55	7	fear	fear	NOUN
iajs-4152	55	8	of	of	ADP
iajs-4152	55	9	this	this	DET
iajs-4152	55	10	spcies	spcie	NOUN
iajs-4152	55	11	can	can	AUX
iajs-4152	55	12	have	have	VERB
iajs-4152	55	13	numerous	numerous	ADJ
iajs-4152	55	14	implications	implication	NOUN
iajs-4152	55	15	.	.	PUNCT
iajs-4152	56	1	specifically	specifically	ADV
iajs-4152	56	2	,	,	PUNCT
iajs-4152	56	3	the	the	DET
iajs-4152	56	4	fear	fear	NOUN
iajs-4152	56	5	function	function	NOUN
iajs-4152	56	6	represented	represent	VERB
iajs-4152	56	7	by	by	ADP
iajs-4152	56	8	affects	affect	VERB
iajs-4152	56	9	the	the	DET
iajs-4152	56	10	growth	growth	NOUN
iajs-4152	56	11	of	of	ADP
iajs-4152	56	12	mature	mature	ADJ
iajs-4152	56	13	prey	prey	NOUN
iajs-4152	56	14	,	,	PUNCT
iajs-4152	56	15	where	where	SCONJ
iajs-4152	56	16	denotes	denote	VERB
iajs-4152	56	17	the	the	DET
iajs-4152	56	18	fear	fear	PROPN
iajs-4152	56	19	parameter	parameter	NOUN
iajs-4152	56	20	.	.	PUNCT
iajs-4152	57	1	ihjpas	ihjpas	PROPN
iajs-4152	57	2	.	.	PUNCT
iajs-4152	58	1	2025,38(4	2025,38(4	NOUN
iajs-4152	58	2	)	)	PUNCT
iajs-4152	58	3	410	410	NUM
iajs-4152	58	4	we	we	PRON
iajs-4152	58	5	recognize	recognize	VERB
iajs-4152	58	6	that	that	SCONJ
iajs-4152	58	7	only	only	ADV
iajs-4152	58	8	mature	mature	ADJ
iajs-4152	58	9	individuals	individual	NOUN
iajs-4152	58	10	are	be	AUX
iajs-4152	58	11	capable	capable	ADJ
iajs-4152	58	12	of	of	ADP
iajs-4152	58	13	reproducing	reproduce	VERB
iajs-4152	58	14	.	.	PUNCT
iajs-4152	59	1	therefore	therefore	ADV
iajs-4152	59	2	,	,	PUNCT
iajs-4152	59	3	the	the	DET
iajs-4152	59	4	reproduction	reproduction	NOUN
iajs-4152	59	5	rate	rate	NOUN
iajs-4152	59	6	depends	depend	VERB
iajs-4152	59	7	on	on	ADP
iajs-4152	59	8	the	the	DET
iajs-4152	59	9	presence	presence	NOUN
iajs-4152	59	10	of	of	ADP
iajs-4152	59	11	the	the	DET
iajs-4152	59	12	mature	mature	ADJ
iajs-4152	59	13	age	age	NOUN
iajs-4152	59	14	class	class	NOUN
iajs-4152	59	15	within	within	ADP
iajs-4152	59	16	a	a	DET
iajs-4152	59	17	specific	specific	ADJ
iajs-4152	59	18	community	community	NOUN
iajs-4152	59	19	.	.	PUNCT
iajs-4152	60	1	we	we	PRON
iajs-4152	60	2	assume	assume	VERB
iajs-4152	60	3	that	that	SCONJ
iajs-4152	60	4	the	the	DET
iajs-4152	60	5	density	density	NOUN
iajs-4152	60	6	of	of	ADP
iajs-4152	60	7	prey	prey	NOUN
iajs-4152	60	8	(	(	PUNCT
iajs-4152	60	9	or	or	CCONJ
iajs-4152	60	10	predators	predator	NOUN
iajs-4152	60	11	)	)	PUNCT
iajs-4152	60	12	influences	influence	VERB
iajs-4152	60	13	the	the	DET
iajs-4152	60	14	reproduction	reproduction	NOUN
iajs-4152	60	15	rate	rate	NOUN
iajs-4152	60	16	.	.	PUNCT
iajs-4152	61	1	however	however	ADV
iajs-4152	61	2	,	,	PUNCT
iajs-4152	61	3	the	the	DET
iajs-4152	61	4	rate	rate	NOUN
iajs-4152	61	5	at	at	ADP
iajs-4152	61	6	which	which	PRON
iajs-4152	61	7	immature	immature	ADJ
iajs-4152	61	8	prey	prey	NOUN
iajs-4152	61	9	(	(	PUNCT
iajs-4152	61	10	or	or	CCONJ
iajs-4152	61	11	predators	predator	NOUN
iajs-4152	61	12	)	)	PUNCT
iajs-4152	61	13	mature	mature	VERB
iajs-4152	61	14	is	be	AUX
iajs-4152	61	15	independent	independent	ADJ
iajs-4152	61	16	of	of	ADP
iajs-4152	61	17	density	density	NOUN
iajs-4152	61	18	.	.	PUNCT
iajs-4152	62	1	in	in	ADP
iajs-4152	62	2	our	our	PRON
iajs-4152	62	3	model	model	NOUN
iajs-4152	62	4	,	,	PUNCT
iajs-4152	62	5	the	the	DET
iajs-4152	62	6	transfer	transfer	NOUN
iajs-4152	62	7	rate	rate	NOUN
iajs-4152	62	8	is	be	AUX
iajs-4152	62	9	solely	solely	ADV
iajs-4152	62	10	dependent	dependent	ADJ
iajs-4152	62	11	on	on	ADP
iajs-4152	62	12	density	density	NOUN
iajs-4152	62	13	variables	variable	NOUN
iajs-4152	62	14	that	that	PRON
iajs-4152	62	15	influence	influence	VERB
iajs-4152	62	16	predator	predator	NOUN
iajs-4152	62	17	growth	growth	NOUN
iajs-4152	62	18	.	.	PUNCT
iajs-4152	63	1	the	the	DET
iajs-4152	63	2	immature	immature	ADJ
iajs-4152	63	3	predator	predator	NOUN
iajs-4152	63	4	is	be	AUX
iajs-4152	63	5	responsible	responsible	ADJ
iajs-4152	63	6	only	only	ADV
iajs-4152	63	7	for	for	ADP
iajs-4152	63	8	attacking	attack	VERB
iajs-4152	63	9	,	,	PUNCT
iajs-4152	63	10	utilizing	utilize	VERB
iajs-4152	63	11	holling	holling	NOUN
iajs-4152	63	12	's	's	PART
iajs-4152	63	13	type	type	NOUN
iajs-4152	63	14	i	i	PRON
iajs-4152	63	15	functional	functional	ADJ
iajs-4152	63	16	response	response	NOUN
iajs-4152	63	17	for	for	ADP
iajs-4152	63	18	the	the	DET
iajs-4152	63	19	intake	intake	NOUN
iajs-4152	63	20	of	of	ADP
iajs-4152	63	21	immature	immature	ADJ
iajs-4152	63	22	prey	prey	NOUN
iajs-4152	63	23	and	and	CCONJ
iajs-4152	63	24	type	type	NOUN
iajs-4152	63	25	iv	iv	NUM
iajs-4152	63	26	functional	functional	ADJ
iajs-4152	63	27	response	response	NOUN
iajs-4152	63	28	for	for	ADP
iajs-4152	63	29	matures	mature	NOUN
iajs-4152	63	30	prey	prey	PROPN
iajs-4152	63	31	.	.	PUNCT
iajs-4152	64	1	assume	assume	VERB
iajs-4152	64	2	that	that	SCONJ
iajs-4152	64	3	interspecies	interspecie	NOUN
iajs-4152	64	4	competition	competition	NOUN
iajs-4152	64	5	occurs	occur	VERB
iajs-4152	64	6	only	only	ADV
iajs-4152	64	7	among	among	ADP
iajs-4152	64	8	prey	prey	PROPN
iajs-4152	64	9	species	specie	NOUN
iajs-4152	64	10	and	and	CCONJ
iajs-4152	64	11	that	that	SCONJ
iajs-4152	64	12	mature	mature	ADJ
iajs-4152	64	13	individuals	individual	NOUN
iajs-4152	64	14	are	be	AUX
iajs-4152	64	15	harvested	harvest	VERB
iajs-4152	64	16	solely	solely	ADV
iajs-4152	64	17	by	by	ADP
iajs-4152	64	18	external	external	ADJ
iajs-4152	64	19	forces	force	NOUN
iajs-4152	64	20	.	.	PUNCT
iajs-4152	65	1	the	the	DET
iajs-4152	65	2	system	system	NOUN
iajs-4152	65	3	is	be	AUX
iajs-4152	65	4	structured	structure	VERB
iajs-4152	65	5	based	base	VERB
iajs-4152	65	6	on	on	ADP
iajs-4152	65	7	the	the	DET
iajs-4152	65	8	previous	previous	ADJ
iajs-4152	65	9	assumptions	assumption	NOUN
iajs-4152	65	10	as	as	SCONJ
iajs-4152	65	11	follows	follow	VERB
iajs-4152	65	12	:	:	PUNCT
iajs-4152	65	13	(	(	PUNCT
iajs-4152	65	14	1	1	X
iajs-4152	65	15	)	)	PUNCT
iajs-4152	65	16	from	from	ADP
iajs-4152	65	17	a	a	DET
iajs-4152	65	18	biological	biological	ADJ
iajs-4152	65	19	perspective	perspective	NOUN
iajs-4152	65	20	,	,	PUNCT
iajs-4152	65	21	the	the	DET
iajs-4152	65	22	initial	initial	ADJ
iajs-4152	65	23	condition	condition	NOUN
iajs-4152	65	24	(	(	PUNCT
iajs-4152	65	25	(	(	PUNCT
iajs-4152	65	26	)	)	PUNCT
iajs-4152	65	27	(	(	PUNCT
iajs-4152	65	28	)	)	PUNCT
iajs-4152	65	29	(	(	PUNCT
iajs-4152	65	30	)	)	PUNCT
iajs-4152	65	31	(	(	PUNCT
iajs-4152	65	32	)	)	PUNCT
iajs-4152	65	33	)	)	PUNCT
iajs-4152	65	34	must	must	AUX
iajs-4152	65	35	be	be	AUX
iajs-4152	65	36	in	in	ADP
iajs-4152	65	37	the	the	DET
iajs-4152	65	38	first	first	ADJ
iajs-4152	65	39	quadrant	quadrant	NOUN
iajs-4152	65	40	.	.	PUNCT
iajs-4152	66	1	table	table	NOUN
iajs-4152	66	2	1	1	NUM
iajs-4152	66	3	below	below	ADP
iajs-4152	66	4	displays	display	VERB
iajs-4152	66	5	the	the	DET
iajs-4152	66	6	system	system	NOUN
iajs-4152	66	7	(	(	PUNCT
iajs-4152	66	8	1	1	X
iajs-4152	66	9	)	)	PUNCT
iajs-4152	66	10	parameters	parameter	NOUN
iajs-4152	66	11	,	,	PUNCT
iajs-4152	66	12	which	which	PRON
iajs-4152	66	13	should	should	AUX
iajs-4152	66	14	have	have	VERB
iajs-4152	66	15	positive	positive	ADJ
iajs-4152	66	16	value	value	NOUN
iajs-4152	66	17	:	:	PUNCT
iajs-4152	66	18	table	table	NOUN
iajs-4152	66	19	1	1	NUM
iajs-4152	66	20	.	.	PUNCT
iajs-4152	67	1	parameters	parameter	NOUN
iajs-4152	67	2	description	description	NOUN
iajs-4152	67	3	.	.	PUNCT
iajs-4152	68	1	parameter	parameter	PROPN
iajs-4152	68	2	biological	biological	ADJ
iajs-4152	68	3	description	description	NOUN
iajs-4152	68	4	the	the	DET
iajs-4152	68	5	maximum	maximum	ADJ
iajs-4152	68	6	growth	growth	NOUN
iajs-4152	68	7	rate	rate	NOUN
iajs-4152	68	8	per	per	ADP
iajs-4152	68	9	capita	capita	NOUN
iajs-4152	68	10	of	of	ADP
iajs-4152	68	11	mature	mature	ADJ
iajs-4152	68	12	prey	prey	NOUN
iajs-4152	68	13	.	.	PUNCT
iajs-4152	69	1	the	the	DET
iajs-4152	69	2	fear	fear	NOUN
iajs-4152	69	3	level	level	NOUN
iajs-4152	69	4	of	of	ADP
iajs-4152	69	5	immature	immature	ADJ
iajs-4152	69	6	prey	prey	NOUN
iajs-4152	69	7	of	of	ADP
iajs-4152	69	8	mature	mature	ADJ
iajs-4152	69	9	predator	predator	NOUN
iajs-4152	69	10	.	.	PUNCT
iajs-4152	70	1	the	the	DET
iajs-4152	70	2	strength	strength	NOUN
iajs-4152	70	3	competition	competition	NOUN
iajs-4152	70	4	between	between	ADP
iajs-4152	70	5	immature	immature	ADJ
iajs-4152	70	6	prey	prey	NOUN
iajs-4152	70	7	.	.	PUNCT
iajs-4152	71	1	the	the	DET
iajs-4152	71	2	strength	strength	NOUN
iajs-4152	71	3	competition	competition	NOUN
iajs-4152	71	4	between	between	ADP
iajs-4152	71	5	mature	mature	ADJ
iajs-4152	71	6	prey	prey	NOUN
iajs-4152	71	7	.	.	PUNCT
iajs-4152	72	1	the	the	DET
iajs-4152	72	2	rate	rate	NOUN
iajs-4152	72	3	maturity	maturity	NOUN
iajs-4152	72	4	from	from	ADP
iajs-4152	72	5	immature	immature	ADJ
iajs-4152	72	6	prey	prey	NOUN
iajs-4152	72	7	to	to	PART
iajs-4152	72	8	mature	mature	VERB
iajs-4152	72	9	prey	prey	NOUN
iajs-4152	72	10	.	.	PUNCT
iajs-4152	73	1	the	the	DET
iajs-4152	73	2	rate	rate	NOUN
iajs-4152	73	3	maturity	maturity	NOUN
iajs-4152	73	4	from	from	ADP
iajs-4152	73	5	immature	immature	ADJ
iajs-4152	73	6	predator	predator	NOUN
iajs-4152	73	7	to	to	PART
iajs-4152	73	8	mature	mature	VERB
iajs-4152	73	9	predator	predator	NOUN
iajs-4152	73	10	.	.	PUNCT
iajs-4152	74	1	the	the	DET
iajs-4152	74	2	conversion	conversion	NOUN
iajs-4152	74	3	from	from	ADP
iajs-4152	74	4	immature	immature	ADJ
iajs-4152	74	5	prey	prey	NOUN
iajs-4152	74	6	towards	towards	ADP
iajs-4152	74	7	immature	immature	ADJ
iajs-4152	74	8	predator	predator	NOUN
iajs-4152	74	9	.	.	PUNCT
iajs-4152	75	1	the	the	DET
iajs-4152	75	2	conversion	conversion	NOUN
iajs-4152	75	3	from	from	ADP
iajs-4152	75	4	mature	mature	ADJ
iajs-4152	75	5	prey	prey	NOUN
iajs-4152	75	6	towards	towards	ADP
iajs-4152	75	7	immature	immature	ADJ
iajs-4152	75	8	predator	predator	NOUN
iajs-4152	75	9	.	.	PUNCT
iajs-4152	76	1	level	level	NOUN
iajs-4152	76	2	of	of	ADP
iajs-4152	76	3	defense	defense	NOUN
iajs-4152	76	4	.	.	PUNCT
iajs-4152	77	1	the	the	DET
iajs-4152	77	2	rate	rate	NOUN
iajs-4152	77	3	attack	attack	NOUN
iajs-4152	77	4	of	of	ADP
iajs-4152	77	5	the	the	DET
iajs-4152	77	6	mature	mature	ADJ
iajs-4152	77	7	predator	predator	NOUN
iajs-4152	77	8	to	to	ADP
iajs-4152	77	9	the	the	DET
iajs-4152	77	10	immature	immature	ADJ
iajs-4152	77	11	prey	prey	NOUN
iajs-4152	77	12	.	.	PUNCT
iajs-4152	78	1	the	the	DET
iajs-4152	78	2	rate	rate	NOUN
iajs-4152	78	3	attack	attack	NOUN
iajs-4152	78	4	of	of	ADP
iajs-4152	78	5	the	the	DET
iajs-4152	78	6	mature	mature	ADJ
iajs-4152	78	7	predator	predator	NOUN
iajs-4152	78	8	to	to	ADP
iajs-4152	78	9	the	the	DET
iajs-4152	78	10	mature	mature	ADJ
iajs-4152	78	11	prey	prey	NOUN
iajs-4152	78	12	.	.	PUNCT
iajs-4152	79	1	the	the	DET
iajs-4152	79	2	rate	rate	NOUN
iajs-4152	79	3	natural	natural	ADJ
iajs-4152	79	4	death	death	NOUN
iajs-4152	79	5	of	of	ADP
iajs-4152	79	6	immature	immature	ADJ
iajs-4152	79	7	predator	predator	NOUN
iajs-4152	79	8	.	.	PUNCT
iajs-4152	80	1	the	the	DET
iajs-4152	80	2	rate	rate	NOUN
iajs-4152	80	3	natural	natural	ADJ
iajs-4152	80	4	death	death	NOUN
iajs-4152	80	5	of	of	ADP
iajs-4152	80	6	mature	mature	ADJ
iajs-4152	80	7	predator	predator	NOUN
iajs-4152	80	8	.	.	PUNCT
iajs-4152	81	1	the	the	DET
iajs-4152	81	2	rate	rate	NOUN
iajs-4152	81	3	harvest	harvest	NOUN
iajs-4152	81	4	of	of	ADP
iajs-4152	81	5	mature	mature	ADJ
iajs-4152	81	6	prey	prey	NOUN
iajs-4152	81	7	.	.	PUNCT
iajs-4152	82	1	the	the	DET
iajs-4152	82	2	rate	rate	NOUN
iajs-4152	82	3	harvest	harvest	NOUN
iajs-4152	82	4	of	of	ADP
iajs-4152	82	5	mature	mature	ADJ
iajs-4152	82	6	predator	predator	NOUN
iajs-4152	82	7	.	.	PUNCT
iajs-4152	83	1	2.1	2.1	NUM
iajs-4152	83	2	.	.	PUNCT
iajs-4152	83	3	system	system	NOUN
iajs-4152	83	4	boundedness	boundednes	VERB
iajs-4152	83	5	the	the	DET
iajs-4152	83	6	system	system	NOUN
iajs-4152	83	7	domain	domain	NOUN
iajs-4152	83	8	is	be	AUX
iajs-4152	83	9	defined	define	VERB
iajs-4152	83	10	as	as	ADP
iajs-4152	83	11	*	*	NOUN
iajs-4152	83	12	(	(	PUNCT
iajs-4152	83	13	)	)	PUNCT
iajs-4152	83	14	.	.	PUNCT
iajs-4152	84	1	(	(	PUNCT
iajs-4152	84	2	)	)	PUNCT
iajs-4152	84	3	(	(	PUNCT
iajs-4152	84	4	)	)	PUNCT
iajs-4152	84	5	(	(	PUNCT
iajs-4152	84	6	)	)	PUNCT
iajs-4152	84	7	(	(	PUNCT
iajs-4152	84	8	)	)	PUNCT
iajs-4152	84	9	+	+	CCONJ
iajs-4152	84	10	we	we	PRON
iajs-4152	84	11	assume	assume	VERB
iajs-4152	84	12	that	that	SCONJ
iajs-4152	84	13	the	the	DET
iajs-4152	84	14	functions	function	NOUN
iajs-4152	84	15	(	(	PUNCT
iajs-4152	84	16	)	)	PUNCT
iajs-4152	84	17	(	(	PUNCT
iajs-4152	84	18	)	)	PUNCT
iajs-4152	84	19	(	(	PUNCT
iajs-4152	84	20	)	)	PUNCT
iajs-4152	84	21	,	,	PUNCT
iajs-4152	84	22	and	and	CCONJ
iajs-4152	84	23	(	(	PUNCT
iajs-4152	84	24	)	)	PUNCT
iajs-4152	84	25	,	,	PUNCT
iajs-4152	84	26	along	along	ADP
iajs-4152	84	27	with	with	ADP
iajs-4152	84	28	their	their	PRON
iajs-4152	84	29	derivatives	derivative	NOUN
iajs-4152	84	30	,	,	PUNCT
iajs-4152	84	31	are	be	AUX
iajs-4152	84	32	continuous	continuous	ADJ
iajs-4152	84	33	for	for	ADP
iajs-4152	84	34	all	all	PRON
iajs-4152	84	35	.	.	PUNCT
iajs-4152	85	1	this	this	DET
iajs-4152	85	2	continuity	continuity	NOUN
iajs-4152	85	3	implies	imply	VERB
iajs-4152	85	4	that	that	SCONJ
iajs-4152	85	5	these	these	DET
iajs-4152	85	6	functions	function	NOUN
iajs-4152	85	7	are	be	AUX
iajs-4152	85	8	lipschitz	lipschitz	NOUN
iajs-4152	85	9	continuous	continuous	ADJ
iajs-4152	85	10	in	in	ADP
iajs-4152	85	11	,	,	PUNCT
iajs-4152	85	12	which	which	PRON
iajs-4152	85	13	ensures	ensure	VERB
iajs-4152	85	14	the	the	DET
iajs-4152	85	15	existence	existence	NOUN
iajs-4152	85	16	of	of	ADP
iajs-4152	85	17	a	a	DET
iajs-4152	85	18	unique	unique	ADJ
iajs-4152	85	19	solution	solution	NOUN
iajs-4152	85	20	to	to	ADP
iajs-4152	85	21	system	system	NOUN
iajs-4152	85	22	(	(	PUNCT
iajs-4152	85	23	1	1	NUM
iajs-4152	85	24	)	)	PUNCT
iajs-4152	85	25	.	.	PUNCT
iajs-4152	86	1	the	the	DET
iajs-4152	86	2	following	follow	VERB
iajs-4152	86	3	theorem	theorem	ADJ
iajs-4152	86	4	defines	define	VERB
iajs-4152	86	5	the	the	DET
iajs-4152	86	6	boundaries	boundary	NOUN
iajs-4152	86	7	for	for	ADP
iajs-4152	86	8	the	the	DET
iajs-4152	86	9	solution	solution	NOUN
iajs-4152	86	10	of	of	ADP
iajs-4152	86	11	this	this	DET
iajs-4152	86	12	system	system	NOUN
iajs-4152	86	13	(	(	PUNCT
iajs-4152	86	14	1	1	NUM
iajs-4152	86	15	)	)	PUNCT
iajs-4152	86	16	.	.	PUNCT
iajs-4152	87	1	theorem	theorem	NOUN
iajs-4152	87	2	1	1	NUM
iajs-4152	87	3	.	.	PUNCT
iajs-4152	88	1	the	the	DET
iajs-4152	88	2	solutions	solution	NOUN
iajs-4152	88	3	to	to	ADP
iajs-4152	88	4	system	system	NOUN
iajs-4152	88	5	(	(	PUNCT
iajs-4152	88	6	1	1	NUM
iajs-4152	88	7	)	)	PUNCT
iajs-4152	88	8	,	,	PUNCT
iajs-4152	88	9	starting	start	VERB
iajs-4152	88	10	in	in	ADV
iajs-4152	88	11	,	,	PUNCT
iajs-4152	88	12	are	be	AUX
iajs-4152	88	13	uniformly	uniformly	ADV
iajs-4152	88	14	bounded	bound	VERB
iajs-4152	88	15	.	.	PUNCT
iajs-4152	89	1	proof	proof	NOUN
iajs-4152	89	2	.	.	PUNCT
iajs-4152	90	1	let	let	VERB
iajs-4152	90	2	,	,	PUNCT
iajs-4152	90	3	then	then	ADV
iajs-4152	90	4	:	:	PUNCT
iajs-4152	90	5	ihjpas	ihjpas	PROPN
iajs-4152	90	6	.	.	PUNCT
iajs-4152	91	1	2025,38(4	2025,38(4	NOUN
iajs-4152	91	2	)	)	PUNCT
iajs-4152	92	1	411	411	NUM
iajs-4152	92	2	the	the	DET
iajs-4152	92	3	next	next	ADJ
iajs-4152	92	4	,	,	PUNCT
iajs-4152	92	5	we	we	PRON
iajs-4152	92	6	get	get	VERB
iajs-4152	92	7	:	:	PUNCT
iajs-4152	92	8	(	(	PUNCT
iajs-4152	92	9	)	)	PUNCT
iajs-4152	92	10	(	(	PUNCT
iajs-4152	92	11	)	)	PUNCT
iajs-4152	92	12	.	.	PUNCT
iajs-4152	93	1	therefore	therefore	ADV
iajs-4152	93	2	,	,	PUNCT
iajs-4152	93	3	we	we	PRON
iajs-4152	93	4	have	have	AUX
iajs-4152	93	5	concluded	conclude	VERB
iajs-4152	93	6	the	the	DET
iajs-4152	93	7	following	following	NOUN
iajs-4152	93	8	:	:	PUNCT
iajs-4152	93	9	(	(	PUNCT
iajs-4152	93	10	)	)	PUNCT
iajs-4152	93	11	,	,	PUNCT
iajs-4152	93	12	(	(	PUNCT
iajs-4152	93	13	2	2	X
iajs-4152	93	14	)	)	PUNCT
iajs-4152	93	15	where	where	SCONJ
iajs-4152	93	16	;	;	PUNCT
iajs-4152	93	17	and	and	CCONJ
iajs-4152	93	18	q	q	NOUN
iajs-4152	93	19	=	=	SYM
iajs-4152	93	20	min	min	NOUN
iajs-4152	93	21	{	{	PUNCT
iajs-4152	93	22	+	+	NOUN
iajs-4152	93	23	.	.	PUNCT
iajs-4152	94	1	now	now	ADV
iajs-4152	94	2	,	,	PUNCT
iajs-4152	94	3	let	let	VERB
iajs-4152	94	4	(	(	PUNCT
iajs-4152	94	5	)	)	PUNCT
iajs-4152	94	6	(	(	PUNCT
iajs-4152	94	7	)	)	PUNCT
iajs-4152	94	8	(	(	PUNCT
iajs-4152	94	9	)	)	PUNCT
iajs-4152	94	10	(	(	PUNCT
iajs-4152	94	11	)	)	PUNCT
iajs-4152	94	12	(	(	PUNCT
iajs-4152	94	13	)	)	PUNCT
iajs-4152	94	14	,	,	PUNCT
iajs-4152	94	15	then	then	ADV
iajs-4152	94	16	,	,	PUNCT
iajs-4152	94	17	differentiating	differentiate	VERB
iajs-4152	94	18	it	it	PRON
iajs-4152	94	19	with	with	ADP
iajs-4152	94	20	respect	respect	NOUN
iajs-4152	94	21	to	to	ADP
iajs-4152	94	22	time	time	NOUN
iajs-4152	94	23	yields	yield	NOUN
iajs-4152	94	24	:	:	PUNCT
iajs-4152	94	25	(	(	PUNCT
iajs-4152	94	26	)	)	PUNCT
iajs-4152	94	27	(	(	PUNCT
iajs-4152	94	28	)	)	PUNCT
iajs-4152	94	29	(	(	PUNCT
iajs-4152	94	30	)	)	PUNCT
iajs-4152	94	31	(	(	PUNCT
iajs-4152	94	32	)	)	PUNCT
iajs-4152	94	33	(	(	PUNCT
iajs-4152	94	34	)	)	PUNCT
iajs-4152	94	35	(	(	PUNCT
iajs-4152	94	36	)	)	PUNCT
iajs-4152	94	37	thus	thus	ADV
iajs-4152	94	38	,	,	PUNCT
iajs-4152	94	39	by	by	ADP
iajs-4152	94	40	applying	apply	VERB
iajs-4152	94	41	the	the	DET
iajs-4152	94	42	bound	bind	VERB
iajs-4152	94	43	in	in	ADP
iajs-4152	94	44	equation	equation	NOUN
iajs-4152	94	45	2	2	NUM
iajs-4152	94	46	,	,	PUNCT
iajs-4152	94	47	we	we	PRON
iajs-4152	94	48	obtain	obtain	VERB
iajs-4152	94	49	:	:	PUNCT
iajs-4152	94	50	where	where	SCONJ
iajs-4152	94	51	=	=	SYM
iajs-4152	94	52	min	min	NOUN
iajs-4152	94	53	{	{	PUNCT
iajs-4152	94	54	+	+	CCONJ
iajs-4152	94	55	therefore	therefore	ADV
iajs-4152	94	56	as	as	SCONJ
iajs-4152	94	57	t	t	PROPN
iajs-4152	94	58	(	(	PUNCT
iajs-4152	94	59	)	)	PUNCT
iajs-4152	94	60	,	,	PUNCT
iajs-4152	94	61	so	so	CCONJ
iajs-4152	94	62	the	the	DET
iajs-4152	94	63	proof	proof	NOUN
iajs-4152	94	64	completed	complete	VERB
iajs-4152	94	65	.	.	PUNCT
iajs-4152	95	1	2.2	2.2	NUM
iajs-4152	95	2	.	.	PUNCT
iajs-4152	95	3	existence	existence	NOUN
iajs-4152	95	4	of	of	ADP
iajs-4152	95	5	equilibrium	equilibrium	NOUN
iajs-4152	95	6	for	for	ADP
iajs-4152	95	7	system	system	NOUN
iajs-4152	95	8	stability	stability	NOUN
iajs-4152	95	9	,	,	PUNCT
iajs-4152	95	10	it	it	PRON
iajs-4152	95	11	is	be	AUX
iajs-4152	95	12	important	important	ADJ
iajs-4152	95	13	to	to	PART
iajs-4152	95	14	establish	establish	VERB
iajs-4152	95	15	equilibrium	equilibrium	NOUN
iajs-4152	95	16	points	point	NOUN
iajs-4152	95	17	.	.	PUNCT
iajs-4152	96	1	we	we	PRON
iajs-4152	96	2	present	present	VERB
iajs-4152	96	3	the	the	DET
iajs-4152	96	4	equilibrium	equilibrium	NOUN
iajs-4152	96	5	point	point	NOUN
iajs-4152	96	6	of	of	ADP
iajs-4152	96	7	system	system	NOUN
iajs-4152	96	8	(	(	PUNCT
iajs-4152	96	9	1	1	NUM
iajs-4152	96	10	)	)	PUNCT
iajs-4152	96	11	below	below	ADV
iajs-4152	96	12	:	:	PUNCT
iajs-4152	96	13	the	the	DET
iajs-4152	96	14	free	free	ADJ
iajs-4152	96	15	of	of	ADP
iajs-4152	96	16	population	population	NOUN
iajs-4152	96	17	equilibrium	equilibrium	NOUN
iajs-4152	96	18	point	point	NOUN
iajs-4152	96	19	(	(	PUNCT
iajs-4152	96	20	fpep	fpep	INTJ
iajs-4152	96	21	)	)	PUNCT
iajs-4152	96	22	,	,	PUNCT
iajs-4152	96	23	(	(	PUNCT
iajs-4152	96	24	)	)	PUNCT
iajs-4152	96	25	,	,	PUNCT
iajs-4152	96	26	exist	exist	VERB
iajs-4152	96	27	in	in	ADP
iajs-4152	96	28	always	always	ADV
iajs-4152	96	29	.	.	PUNCT
iajs-4152	97	1	the	the	DET
iajs-4152	97	2	predator	predator	NOUN
iajs-4152	97	3	free	free	ADJ
iajs-4152	97	4	equilibrium	equilibrium	NOUN
iajs-4152	97	5	point	point	NOUN
iajs-4152	97	6	(	(	PUNCT
iajs-4152	97	7	fpdep	fpdep	NOUN
iajs-4152	97	8	)	)	PUNCT
iajs-4152	97	9	,	,	PUNCT
iajs-4152	97	10	(	(	PUNCT
iajs-4152	97	11	̅	̅	NOUN
iajs-4152	97	12	̅	̅	NOUN
iajs-4152	97	13	)	)	PUNCT
iajs-4152	97	14	where	where	SCONJ
iajs-4152	97	15	:	:	PUNCT
iajs-4152	97	16	̅	̅	X
iajs-4152	97	17	̅	̅	NOUN
iajs-4152	97	18	(	(	PUNCT
iajs-4152	97	19	̅	̅	NOUN
iajs-4152	97	20	)	)	PUNCT
iajs-4152	97	21	,	,	PUNCT
iajs-4152	97	22	(	(	PUNCT
iajs-4152	97	23	3.a	3.a	NUM
iajs-4152	97	24	)	)	PUNCT
iajs-4152	97	25	yet	yet	ADV
iajs-4152	97	26	,	,	PUNCT
iajs-4152	97	27	̅	̅	NOUN
iajs-4152	97	28	is	be	AUX
iajs-4152	97	29	a	a	DET
iajs-4152	97	30	+	+	PROPN
iajs-4152	97	31	ve	ve	NOUN
iajs-4152	97	32	root	root	NOUN
iajs-4152	97	33	for	for	ADP
iajs-4152	97	34	4th	4th	ADJ
iajs-4152	97	35	-	-	PUNCT
iajs-4152	97	36	order	order	NOUN
iajs-4152	97	37	equation	equation	NOUN
iajs-4152	97	38	is	be	AUX
iajs-4152	97	39	as	as	ADP
iajs-4152	97	40	below	below	ADV
iajs-4152	97	41	:	:	PUNCT
iajs-4152	97	42	,	,	PUNCT
iajs-4152	97	43	̅	̅	NOUN
iajs-4152	97	44	,	,	PUNCT
iajs-4152	97	45	̅	̅	NOUN
iajs-4152	97	46	,	,	PUNCT
iajs-4152	97	47	̅	̅	NOUN
iajs-4152	97	48	,	,	PUNCT
iajs-4152	97	49	̅	̅	X
iajs-4152	97	50	(	(	PUNCT
iajs-4152	97	51	3.b	3.b	NUM
iajs-4152	97	52	)	)	PUNCT
iajs-4152	98	1	where	where	SCONJ
iajs-4152	98	2	,	,	PUNCT
iajs-4152	98	3	,	,	PUNCT
iajs-4152	98	4	,	,	PUNCT
iajs-4152	98	5	(	(	PUNCT
iajs-4152	98	6	)	)	PUNCT
iajs-4152	98	7	,	,	PUNCT
iajs-4152	98	8	}	}	PUNCT
iajs-4152	98	9	(	(	PUNCT
iajs-4152	98	10	3.c	3.c	NUM
iajs-4152	98	11	)	)	PUNCT
iajs-4152	98	12	so	so	ADV
iajs-4152	98	13	,	,	PUNCT
iajs-4152	98	14	equation	equation	NOUN
iajs-4152	98	15	3.b	3.b	NUM
iajs-4152	98	16	gives	give	VERB
iajs-4152	98	17	only	only	ADV
iajs-4152	98	18	single	single	ADJ
iajs-4152	98	19	positive	positive	ADJ
iajs-4152	98	20	root	root	NOUN
iajs-4152	98	21	if	if	SCONJ
iajs-4152	98	22	the	the	DET
iajs-4152	98	23	following	follow	VERB
iajs-4152	98	24	condition	condition	NOUN
iajs-4152	98	25	is	be	AUX
iajs-4152	98	26	satisfied	satisfied	ADJ
iajs-4152	98	27	:	:	PUNCT
iajs-4152	98	28	.	.	PUNCT
iajs-4152	99	1	(	(	PUNCT
iajs-4152	99	2	3.d	3.d	NUM
iajs-4152	99	3	)	)	PUNCT
iajs-4152	99	4	3the	3the	PRON
iajs-4152	99	5	interior	interior	ADJ
iajs-4152	99	6	equilibrium	equilibrium	NOUN
iajs-4152	99	7	point	point	NOUN
iajs-4152	99	8	(	(	PUNCT
iajs-4152	99	9	iep	iep	PROPN
iajs-4152	99	10	)	)	PUNCT
iajs-4152	99	11	,	,	PUNCT
iajs-4152	99	12	(	(	PUNCT
iajs-4152	99	13	)	)	PUNCT
iajs-4152	99	14	,	,	PUNCT
iajs-4152	99	15	where	where	SCONJ
iajs-4152	99	16	.	.	PUNCT
iajs-4152	99	17	/	/	PUNCT
iajs-4152	99	18	(	(	PUNCT
iajs-4152	99	19	)	)	PUNCT
iajs-4152	99	20	.	.	PUNCT
iajs-4152	99	21	/	/	PUNCT
iajs-4152	100	1	(	(	PUNCT
iajs-4152	100	2	)	)	PUNCT
iajs-4152	100	3	(	(	PUNCT
iajs-4152	100	4	)	)	PUNCT
iajs-4152	100	5	.	.	PUNCT
iajs-4152	101	1	/	/	PUNCT
iajs-4152	101	2	.	.	PUNCT
iajs-4152	102	1	/	/	PUNCT
iajs-4152	102	2	(	(	PUNCT
iajs-4152	102	3	)	)	PUNCT
iajs-4152	102	4	(	(	PUNCT
iajs-4152	102	5	4.a	4.a	NOUN
iajs-4152	102	6	)	)	PUNCT
iajs-4152	102	7	(	(	PUNCT
iajs-4152	102	8	)	)	PUNCT
iajs-4152	102	9	.	.	PUNCT
iajs-4152	102	10	/	/	PUNCT
iajs-4152	102	11	(	(	PUNCT
iajs-4152	102	12	)	)	PUNCT
iajs-4152	102	13	(	(	PUNCT
iajs-4152	102	14	)	)	PUNCT
iajs-4152	102	15	.	.	PUNCT
iajs-4152	102	16	/	/	PUNCT
iajs-4152	103	1	(	(	PUNCT
iajs-4152	103	2	)	)	PUNCT
iajs-4152	103	3	,	,	PUNCT
iajs-4152	103	4	(	(	PUNCT
iajs-4152	103	5	4.b	4.b	NOUN
iajs-4152	103	6	)	)	PUNCT
iajs-4152	103	7	ihjpas	ihjpas	PROPN
iajs-4152	103	8	.	.	PUNCT
iajs-4152	104	1	2025,38(4	2025,38(4	NOUN
iajs-4152	104	2	)	)	PUNCT
iajs-4152	105	1	412	412	NUM
iajs-4152	105	2	(	(	PUNCT
iajs-4152	105	3	)	)	PUNCT
iajs-4152	105	4	,	,	PUNCT
iajs-4152	105	5	(	(	PUNCT
iajs-4152	105	6	4.c	4.c	NOUN
iajs-4152	105	7	)	)	PUNCT
iajs-4152	105	8	while	while	SCONJ
iajs-4152	105	9	,	,	PUNCT
iajs-4152	105	10	is	be	AUX
iajs-4152	105	11	a	a	DET
iajs-4152	105	12	+	+	PROPN
iajs-4152	105	13	ve	ve	NOUN
iajs-4152	105	14	root	root	NOUN
iajs-4152	105	15	of	of	ADP
iajs-4152	105	16	the	the	DET
iajs-4152	105	17	following	follow	VERB
iajs-4152	105	18	12th	12th	ADJ
iajs-4152	105	19	-	-	PUNCT
iajs-4152	105	20	order	order	NOUN
iajs-4152	105	21	equation	equation	NOUN
iajs-4152	105	22	:	:	PUNCT
iajs-4152	105	23	,	,	PUNCT
iajs-4152	105	24	,	,	PUNCT
iajs-4152	105	25	,	,	PUNCT
iajs-4152	105	26	,	,	PUNCT
iajs-4152	105	27	,	,	PUNCT
iajs-4152	105	28	,	,	PUNCT
iajs-4152	105	29	,	,	PUNCT
iajs-4152	105	30	,	,	PUNCT
iajs-4152	105	31	,	,	PUNCT
iajs-4152	105	32	,	,	PUNCT
iajs-4152	105	33	,	,	PUNCT
iajs-4152	105	34	,	,	PUNCT
iajs-4152	105	35	,	,	PUNCT
iajs-4152	105	36	(	(	PUNCT
iajs-4152	105	37	4.d	4.d	NOUN
iajs-4152	105	38	)	)	PUNCT
iajs-4152	105	39	where	where	SCONJ
iajs-4152	105	40	,	,	PUNCT
iajs-4152	105	41	,	,	PUNCT
iajs-4152	105	42	,	,	PUNCT
iajs-4152	105	43	are	be	AUX
iajs-4152	105	44	determined	determine	VERB
iajs-4152	105	45	using	use	VERB
iajs-4152	105	46	matlab	matlab	PROPN
iajs-4152	105	47	.	.	PUNCT
iajs-4152	106	1	their	their	PRON
iajs-4152	106	2	complexity	complexity	NOUN
iajs-4152	106	3	and	and	CCONJ
iajs-4152	106	4	large	large	ADJ
iajs-4152	106	5	size	size	NOUN
iajs-4152	106	6	prevent	prevent	VERB
iajs-4152	106	7	us	we	PRON
iajs-4152	106	8	from	from	ADP
iajs-4152	106	9	presenting	present	VERB
iajs-4152	106	10	them	they	PRON
iajs-4152	106	11	here	here	ADV
iajs-4152	106	12	.	.	PUNCT
iajs-4152	107	1	then	then	ADV
iajs-4152	107	2	,	,	PUNCT
iajs-4152	107	3	the	the	DET
iajs-4152	107	4	sign	sign	NOUN
iajs-4152	107	5	discarding	discard	VERB
iajs-4152	107	6	rule	rule	NOUN
iajs-4152	107	7	ensures	ensure	VERB
iajs-4152	107	8	that	that	SCONJ
iajs-4152	107	9	equation	equation	NOUN
iajs-4152	107	10	4.d	4.d	NUM
iajs-4152	107	11	has	have	VERB
iajs-4152	107	12	a	a	DET
iajs-4152	107	13	just	just	ADV
iajs-4152	107	14	single	single	ADJ
iajs-4152	107	15	positive	positive	ADJ
iajs-4152	107	16	root	root	NOUN
iajs-4152	107	17	when	when	SCONJ
iajs-4152	107	18	any	any	PRON
iajs-4152	107	19	of	of	ADP
iajs-4152	107	20	the	the	DET
iajs-4152	107	21	following	follow	VERB
iajs-4152	107	22	requirements	requirement	NOUN
iajs-4152	107	23	are	be	AUX
iajs-4152	107	24	met	meet	VERB
iajs-4152	107	25	:	:	PUNCT
iajs-4152	107	26	,	,	PUNCT
iajs-4152	107	27	,	,	PUNCT
iajs-4152	107	28	,	,	PUNCT
iajs-4152	107	29	,	,	PUNCT
iajs-4152	107	30	}	}	PUNCT
iajs-4152	107	31	and	and	CCONJ
iajs-4152	107	32	if	if	SCONJ
iajs-4152	107	33	(	(	PUNCT
iajs-4152	107	34	)	)	PUNCT
iajs-4152	107	35	(	(	PUNCT
iajs-4152	107	36	)	)	PUNCT
iajs-4152	107	37	(	(	PUNCT
iajs-4152	107	38	)	)	PUNCT
iajs-4152	107	39	(	(	PUNCT
iajs-4152	107	40	)	)	PUNCT
iajs-4152	107	41	(	(	PUNCT
iajs-4152	107	42	)	)	PUNCT
iajs-4152	107	43	(	(	PUNCT
iajs-4152	107	44	)	)	PUNCT
iajs-4152	107	45	(	(	PUNCT
iajs-4152	107	46	)	)	PUNCT
iajs-4152	107	47	so	so	ADV
iajs-4152	107	48	,	,	PUNCT
iajs-4152	107	49	the	the	DET
iajs-4152	107	50	(	(	PUNCT
iajs-4152	107	51	ipe	ipe	NOUN
iajs-4152	107	52	)	)	PUNCT
iajs-4152	107	53	exists	exist	VERB
iajs-4152	107	54	in	in	ADP
iajs-4152	107	55	the	the	PRON
iajs-4152	107	56	.	.	PUNCT
iajs-4152	108	1	2.3	2.3	NUM
iajs-4152	108	2	.	.	PUNCT
iajs-4152	109	1	local	local	ADJ
iajs-4152	109	2	stability	stability	NOUN
iajs-4152	109	3	analysis	analysis	NOUN
iajs-4152	109	4	:	:	PUNCT
iajs-4152	109	5	the	the	DET
iajs-4152	109	6	section	section	NOUN
iajs-4152	109	7	uses	use	VERB
iajs-4152	109	8	the	the	DET
iajs-4152	109	9	linearization	linearization	NOUN
iajs-4152	109	10	procedure	procedure	NOUN
iajs-4152	109	11	for	for	ADP
iajs-4152	109	12	analyzing	analyze	VERB
iajs-4152	109	13	the	the	DET
iajs-4152	109	14	local	local	ADJ
iajs-4152	109	15	stability	stability	NOUN
iajs-4152	109	16	of	of	ADP
iajs-4152	109	17	the	the	DET
iajs-4152	109	18	suggested	suggest	VERB
iajs-4152	109	19	system	system	NOUN
iajs-4152	109	20	.	.	PUNCT
iajs-4152	110	1	system	system	NOUN
iajs-4152	110	2	(	(	PUNCT
iajs-4152	110	3	1	1	X
iajs-4152	110	4	)	)	PUNCT
iajs-4152	110	5	located	locate	VERB
iajs-4152	110	6	at	at	ADP
iajs-4152	110	7	(	(	PUNCT
iajs-4152	110	8	)	)	PUNCT
iajs-4152	110	9	has	have	VERB
iajs-4152	110	10	the	the	DET
iajs-4152	110	11	following	following	ADJ
iajs-4152	110	12	jacobian	jacobian	ADJ
iajs-4152	110	13	matrix	matrix	NOUN
iajs-4152	110	14	(	(	PUNCT
iajs-4152	110	15	j.m	j.m	PROPN
iajs-4152	110	16	):	):	PUNCT
iajs-4152	110	17	[	[	PUNCT
iajs-4152	110	18	]	]	X
iajs-4152	110	19	,	,	PUNCT
iajs-4152	110	20	(	(	PUNCT
iajs-4152	110	21	5	5	NUM
iajs-4152	110	22	)	)	PUNCT
iajs-4152	110	23	where	where	SCONJ
iajs-4152	110	24	(	(	PUNCT
iajs-4152	110	25	)	)	PUNCT
iajs-4152	110	26	,	,	PUNCT
iajs-4152	110	27	,	,	PUNCT
iajs-4152	110	28	(	(	PUNCT
iajs-4152	110	29	(	(	PUNCT
iajs-4152	110	30	)	)	PUNCT
iajs-4152	110	31	)	)	PUNCT
iajs-4152	110	32	,	,	PUNCT
iajs-4152	110	33	,	,	PUNCT
iajs-4152	110	34	(	(	PUNCT
iajs-4152	110	35	(	(	PUNCT
iajs-4152	110	36	)	)	PUNCT
iajs-4152	110	37	)	)	PUNCT
iajs-4152	110	38	,	,	PUNCT
iajs-4152	110	39	(	(	PUNCT
iajs-4152	110	40	)	)	PUNCT
iajs-4152	110	41	,	,	PUNCT
iajs-4152	110	42	,	,	PUNCT
iajs-4152	110	43	(	(	PUNCT
iajs-4152	110	44	)	)	PUNCT
iajs-4152	110	45	(	(	PUNCT
iajs-4152	110	46	)	)	PUNCT
iajs-4152	110	47	,	,	PUNCT
iajs-4152	110	48	(	(	PUNCT
iajs-4152	110	49	)	)	PUNCT
iajs-4152	110	50	,	,	PUNCT
iajs-4152	110	51	(	(	PUNCT
iajs-4152	110	52	)	)	PUNCT
iajs-4152	110	53	,	,	PUNCT
iajs-4152	110	54	.	.	PUNCT
iajs-4152	111	1	if	if	SCONJ
iajs-4152	111	2	all	all	DET
iajs-4152	111	3	the	the	DET
iajs-4152	111	4	eigenvalues	eigenvalue	NOUN
iajs-4152	111	5	at	at	ADP
iajs-4152	111	6	an	an	DET
iajs-4152	111	7	equilibrium	equilibrium	NOUN
iajs-4152	111	8	point	point	NOUN
iajs-4152	111	9	are	be	AUX
iajs-4152	111	10	negative	negative	ADJ
iajs-4152	111	11	,	,	PUNCT
iajs-4152	111	12	the	the	DET
iajs-4152	111	13	point	point	NOUN
iajs-4152	111	14	is	be	AUX
iajs-4152	111	15	referred	refer	VERB
iajs-4152	111	16	to	to	ADP
iajs-4152	111	17	as	as	ADP
iajs-4152	111	18	locally	locally	ADV
iajs-4152	111	19	asymptotically	asymptotically	ADV
iajs-4152	111	20	stable	stable	ADJ
iajs-4152	111	21	(	(	PUNCT
iajs-4152	111	22	las	las	NOUN
iajs-4152	111	23	)	)	PUNCT
iajs-4152	111	24	.	.	PUNCT
iajs-4152	112	1	accordingly	accordingly	ADV
iajs-4152	112	2	,	,	PUNCT
iajs-4152	112	3	the	the	DET
iajs-4152	112	4	following	follow	VERB
iajs-4152	112	5	theorem	theorem	NOUN
iajs-4152	112	6	provides	provide	VERB
iajs-4152	112	7	the	the	DET
iajs-4152	112	8	conditions	condition	NOUN
iajs-4152	112	9	for	for	ADP
iajs-4152	112	10	local	local	ADJ
iajs-4152	112	11	stability	stability	NOUN
iajs-4152	112	12	at	at	ADP
iajs-4152	112	13	each	each	DET
iajs-4152	112	14	equilibrium	equilibrium	NOUN
iajs-4152	112	15	point	point	NOUN
iajs-4152	112	16	.	.	PUNCT
iajs-4152	113	1	theorem	theorem	NOUN
iajs-4152	113	2	2	2	NUM
iajs-4152	113	3	.	.	PUNCT
iajs-4152	114	1	the	the	DET
iajs-4152	114	2	fpep	fpep	PROPN
iajs-4152	114	3	is	be	AUX
iajs-4152	114	4	las	las	PROPN
iajs-4152	114	5	if	if	SCONJ
iajs-4152	114	6	the	the	DET
iajs-4152	114	7	following	follow	VERB
iajs-4152	114	8	conditions	condition	NOUN
iajs-4152	114	9	are	be	AUX
iajs-4152	114	10	met	meet	VERB
iajs-4152	114	11	:	:	PUNCT
iajs-4152	114	12	.	.	PUNCT
iajs-4152	115	1	(	(	PUNCT
iajs-4152	115	2	6	6	X
iajs-4152	115	3	)	)	PUNCT
iajs-4152	115	4	proof	proof	NOUN
iajs-4152	115	5	.	.	PUNCT
iajs-4152	116	1	the	the	DET
iajs-4152	116	2	j.m	j.m	PROPN
iajs-4152	116	3	at	at	ADP
iajs-4152	116	4	fpep	fpep	NOUN
iajs-4152	116	5	can	can	AUX
iajs-4152	116	6	write	write	VERB
iajs-4152	116	7	as	as	ADP
iajs-4152	116	8	:	:	PUNCT
iajs-4152	116	9	[	[	PUNCT
iajs-4152	116	10	(	(	PUNCT
iajs-4152	116	11	)	)	PUNCT
iajs-4152	116	12	(	(	PUNCT
iajs-4152	116	13	)	)	PUNCT
iajs-4152	116	14	]	]	PUNCT
iajs-4152	116	15	.	.	PUNCT
iajs-4152	117	1	the	the	DET
iajs-4152	117	2	characteristic	characteristic	ADJ
iajs-4152	117	3	equation	equation	NOUN
iajs-4152	117	4	of	of	ADP
iajs-4152	117	5	is	be	AUX
iajs-4152	117	6	:	:	PUNCT
iajs-4152	117	7	,	,	PUNCT
iajs-4152	117	8	(	(	PUNCT
iajs-4152	117	9	)	)	PUNCT
iajs-4152	117	10	-	-	PUNCT
iajs-4152	117	11	,	,	PUNCT
iajs-4152	117	12	(	(	PUNCT
iajs-4152	117	13	)	)	PUNCT
iajs-4152	117	14	-	-	PUNCT
iajs-4152	117	15	,	,	PUNCT
iajs-4152	117	16	where	where	SCONJ
iajs-4152	117	17	(	(	PUNCT
iajs-4152	117	18	)	)	PUNCT
iajs-4152	117	19	,	,	PUNCT
iajs-4152	117	20	(	(	PUNCT
iajs-4152	117	21	)	)	PUNCT
iajs-4152	117	22	so	so	ADV
iajs-4152	117	23	,	,	PUNCT
iajs-4152	117	24	using	use	VERB
iajs-4152	117	25	the	the	DET
iajs-4152	117	26	trace	trace	NOUN
iajs-4152	117	27	–	–	PUNCT
iajs-4152	117	28	determinate	determinate	ADJ
iajs-4152	117	29	stability	stability	NOUN
iajs-4152	117	30	certain	certain	ADJ
iajs-4152	117	31	,	,	PUNCT
iajs-4152	117	32	fpep	fpep	PROPN
iajs-4152	117	33	is	be	AUX
iajs-4152	117	34	thought	think	VERB
iajs-4152	117	35	to	to	PART
iajs-4152	117	36	be	be	AUX
iajs-4152	117	37	las	las	NOUN
iajs-4152	117	38	if	if	SCONJ
iajs-4152	117	39	condition	condition	NOUN
iajs-4152	117	40	(	(	PUNCT
iajs-4152	117	41	6	6	NUM
iajs-4152	117	42	)	)	PUNCT
iajs-4152	117	43	is	be	AUX
iajs-4152	117	44	met	meet	VERB
iajs-4152	117	45	.	.	PUNCT
iajs-4152	118	1	if	if	SCONJ
iajs-4152	118	2	not	not	PART
iajs-4152	118	3	is	be	AUX
iajs-4152	118	4	called	call	VERB
iajs-4152	118	5	a	a	DET
iajs-4152	118	6	saddle	saddle	NOUN
iajs-4152	118	7	point	point	NOUN
iajs-4152	118	8	.	.	PUNCT
iajs-4152	119	1	ihjpas	ihjpas	PROPN
iajs-4152	119	2	.	.	PUNCT
iajs-4152	120	1	2025,38(4	2025,38(4	X
iajs-4152	120	2	)	)	PUNCT
iajs-4152	120	3	413	413	NUM
iajs-4152	120	4	theorem	theorem	VERB
iajs-4152	120	5	3	3	NUM
iajs-4152	120	6	.	.	PUNCT
iajs-4152	121	1	the	the	DET
iajs-4152	121	2	fpdep	fpdep	NOUN
iajs-4152	121	3	is	be	AUX
iajs-4152	121	4	las	las	PROPN
iajs-4152	121	5	if	if	SCONJ
iajs-4152	121	6	the	the	PRON
iajs-4152	121	7	below	below	ADP
iajs-4152	121	8	conditions	condition	NOUN
iajs-4152	121	9	holds	hold	VERB
iajs-4152	121	10	:	:	PUNCT
iajs-4152	121	11	(	(	PUNCT
iajs-4152	121	12	̅	̅	NUM
iajs-4152	121	13	̅	̅	NOUN
iajs-4152	121	14	(	(	PUNCT
iajs-4152	121	15	̅	̅	NOUN
iajs-4152	121	16	)	)	PUNCT
iajs-4152	121	17	)	)	PUNCT
iajs-4152	122	1	(	(	PUNCT
iajs-4152	122	2	)	)	PUNCT
iajs-4152	122	3	(	(	PUNCT
iajs-4152	122	4	)	)	PUNCT
iajs-4152	122	5	(	(	PUNCT
iajs-4152	122	6	7	7	X
iajs-4152	122	7	)	)	PUNCT
iajs-4152	122	8	proof	proof	NOUN
iajs-4152	122	9	.	.	PUNCT
iajs-4152	123	1	the	the	DET
iajs-4152	123	2	j.m	j.m	PROPN
iajs-4152	123	3	at	at	ADP
iajs-4152	123	4	fpdep	fpdep	NOUN
iajs-4152	123	5	is	be	AUX
iajs-4152	123	6	:	:	PUNCT
iajs-4152	123	7	[	[	PUNCT
iajs-4152	123	8	(	(	PUNCT
iajs-4152	123	9	̅	̅	NOUN
iajs-4152	123	10	)	)	PUNCT
iajs-4152	123	11	(	(	PUNCT
iajs-4152	123	12	̅	̅	NOUN
iajs-4152	123	13	̅	̅	NOUN
iajs-4152	123	14	)	)	PUNCT
iajs-4152	123	15	(	(	PUNCT
iajs-4152	123	16	̅	̅	NUM
iajs-4152	123	17	)	)	PUNCT
iajs-4152	123	18	̅	̅	NOUN
iajs-4152	123	19	(	(	PUNCT
iajs-4152	123	20	̅	̅	NOUN
iajs-4152	123	21	)	)	PUNCT
iajs-4152	123	22	(	(	PUNCT
iajs-4152	123	23	)	)	PUNCT
iajs-4152	123	24	̅	̅	NOUN
iajs-4152	123	25	̅	̅	NOUN
iajs-4152	123	26	(	(	PUNCT
iajs-4152	123	27	̅	̅	NOUN
iajs-4152	123	28	)	)	PUNCT
iajs-4152	123	29	(	(	PUNCT
iajs-4152	123	30	)	)	PUNCT
iajs-4152	123	31	]	]	PUNCT
iajs-4152	123	32	.	.	PUNCT
iajs-4152	124	1	then	then	ADV
iajs-4152	124	2	characteristic	characteristic	ADJ
iajs-4152	124	3	equation	equation	NOUN
iajs-4152	124	4	of	of	ADP
iajs-4152	124	5	is	be	AUX
iajs-4152	124	6	:	:	PUNCT
iajs-4152	124	7	,	,	PUNCT
iajs-4152	124	8	(	(	PUNCT
iajs-4152	124	9	̅	̅	NOUN
iajs-4152	124	10	)	)	PUNCT
iajs-4152	124	11	-	-	PUNCT
iajs-4152	124	12	,	,	PUNCT
iajs-4152	124	13	(	(	PUNCT
iajs-4152	124	14	̅	̅	NOUN
iajs-4152	124	15	)	)	PUNCT
iajs-4152	124	16	-	-	PUNCT
iajs-4152	124	17	,	,	PUNCT
iajs-4152	124	18	such	such	ADJ
iajs-4152	124	19	that	that	SCONJ
iajs-4152	124	20	,	,	PUNCT
iajs-4152	124	21	(	(	PUNCT
iajs-4152	124	22	)	)	PUNCT
iajs-4152	124	23	,	,	PUNCT
iajs-4152	124	24	(	(	PUNCT
iajs-4152	124	25	)	)	PUNCT
iajs-4152	124	26	(	(	PUNCT
iajs-4152	124	27	)	)	PUNCT
iajs-4152	124	28	(	(	PUNCT
iajs-4152	124	29	̅	̅	NUM
iajs-4152	124	30	̅	̅	NOUN
iajs-4152	124	31	(	(	PUNCT
iajs-4152	124	32	̅	̅	NOUN
iajs-4152	124	33	)	)	PUNCT
iajs-4152	124	34	)	)	PUNCT
iajs-4152	125	1	then	then	ADV
iajs-4152	125	2	,	,	PUNCT
iajs-4152	125	3	according	accord	VERB
iajs-4152	125	4	to	to	ADP
iajs-4152	125	5	the	the	DET
iajs-4152	125	6	trace	trace	NOUN
iajs-4152	125	7	-	-	PUNCT
iajs-4152	125	8	determinant	determinant	ADJ
iajs-4152	125	9	stability	stability	NOUN
iajs-4152	125	10	criterion	criterion	NOUN
iajs-4152	125	11	,	,	PUNCT
iajs-4152	125	12	the	the	DET
iajs-4152	125	13	fpdep	fpdep	NOUN
iajs-4152	125	14	becomes	become	VERB
iajs-4152	125	15	(	(	PUNCT
iajs-4152	125	16	las	las	NOUN
iajs-4152	125	17	)	)	PUNCT
iajs-4152	125	18	when	when	SCONJ
iajs-4152	125	19	condition	condition	NOUN
iajs-4152	125	20	(	(	PUNCT
iajs-4152	125	21	7	7	X
iajs-4152	125	22	)	)	PUNCT
iajs-4152	125	23	is	be	AUX
iajs-4152	125	24	satisfied	satisfied	ADJ
iajs-4152	125	25	.	.	PUNCT
iajs-4152	126	1	if	if	SCONJ
iajs-4152	126	2	not	not	PART
iajs-4152	126	3	,	,	PUNCT
iajs-4152	126	4	it	it	PRON
iajs-4152	126	5	is	be	AUX
iajs-4152	126	6	a	a	DET
iajs-4152	126	7	saddle	saddle	NOUN
iajs-4152	126	8	point	point	NOUN
iajs-4152	126	9	.	.	PUNCT
iajs-4152	127	1	theorem	theorem	ADJ
iajs-4152	127	2	4	4	NUM
iajs-4152	127	3	.	.	PUNCT
iajs-4152	128	1	the	the	DET
iajs-4152	128	2	iep	iep	PROPN
iajs-4152	128	3	is	be	AUX
iajs-4152	128	4	las	las	PROPN
iajs-4152	128	5	in	in	ADP
iajs-4152	128	6	the	the	PRON
iajs-4152	128	7	if	if	SCONJ
iajs-4152	128	8	the	the	DET
iajs-4152	128	9	following	follow	VERB
iajs-4152	128	10	condition	condition	NOUN
iajs-4152	128	11	satisfies	satisfie	NOUN
iajs-4152	128	12	:	:	PUNCT
iajs-4152	128	13	(	(	PUNCT
iajs-4152	128	14	)	)	PUNCT
iajs-4152	128	15	(	(	PUNCT
iajs-4152	128	16	)	)	PUNCT
iajs-4152	128	17	.	.	PUNCT
iajs-4152	129	1	/	/	PUNCT
iajs-4152	129	2	(	(	PUNCT
iajs-4152	129	3	(	(	PUNCT
iajs-4152	129	4	)	)	PUNCT
iajs-4152	129	5	(	(	PUNCT
iajs-4152	129	6	)	)	PUNCT
iajs-4152	129	7	.	.	PUNCT
iajs-4152	129	8	/	/	PUNCT
iajs-4152	129	9	)	)	PUNCT
iajs-4152	130	1	(	(	PUNCT
iajs-4152	130	2	)	)	PUNCT
iajs-4152	130	3	}	}	PUNCT
iajs-4152	130	4	.	.	PUNCT
iajs-4152	131	1	(	(	PUNCT
iajs-4152	131	2	8)	8)	NUM
iajs-4152	131	3	proof	proof	NOUN
iajs-4152	131	4	:	:	PUNCT
iajs-4152	131	5	at	at	ADP
iajs-4152	131	6	pep	pep	NOUN
iajs-4152	131	7	,	,	PUNCT
iajs-4152	131	8	the	the	DET
iajs-4152	131	9	j.m	j.m	PROPN
iajs-4152	131	10	is	be	AUX
iajs-4152	131	11	written	write	VERB
iajs-4152	131	12	as	as	ADP
iajs-4152	131	13	:	:	PUNCT
iajs-4152	131	14	[	[	PUNCT
iajs-4152	131	15	]	]	X
iajs-4152	131	16	,	,	PUNCT
iajs-4152	131	17	where	where	SCONJ
iajs-4152	131	18	(	(	PUNCT
iajs-4152	131	19	)	)	PUNCT
iajs-4152	131	20	,	,	PUNCT
iajs-4152	131	21	,	,	PUNCT
iajs-4152	131	22	(	(	PUNCT
iajs-4152	131	23	(	(	PUNCT
iajs-4152	131	24	)	)	PUNCT
iajs-4152	131	25	)	)	PUNCT
iajs-4152	131	26	,	,	PUNCT
iajs-4152	131	27	,	,	PUNCT
iajs-4152	131	28	(	(	PUNCT
iajs-4152	131	29	.	.	PUNCT
iajs-4152	131	30	/	/	SYM
iajs-4152	131	31	)	)	PUNCT
iajs-4152	131	32	,	,	PUNCT
iajs-4152	131	33	.	.	PUNCT
iajs-4152	132	1	/	/	PUNCT
iajs-4152	132	2	,	,	PUNCT
iajs-4152	132	3	,	,	PUNCT
iajs-4152	132	4	.	.	PUNCT
iajs-4152	133	1	/	/	PUNCT
iajs-4152	133	2	.	.	PUNCT
iajs-4152	134	1	/	/	PUNCT
iajs-4152	134	2	,	,	PUNCT
iajs-4152	135	1	(	(	PUNCT
iajs-4152	135	2	)	)	PUNCT
iajs-4152	135	3	,	,	PUNCT
iajs-4152	135	4	.	.	PUNCT
iajs-4152	136	1	/	/	PUNCT
iajs-4152	136	2	,	,	PUNCT
iajs-4152	136	3	,	,	PUNCT
iajs-4152	136	4	(	(	PUNCT
iajs-4152	136	5	)	)	PUNCT
iajs-4152	136	6	.	.	PUNCT
iajs-4152	137	1	if	if	SCONJ
iajs-4152	137	2	the	the	DET
iajs-4152	137	3	conditions	condition	NOUN
iajs-4152	137	4	are	be	AUX
iajs-4152	137	5	satisfied	satisfied	ADJ
iajs-4152	137	6	,	,	PUNCT
iajs-4152	137	7	we	we	PRON
iajs-4152	137	8	will	will	AUX
iajs-4152	137	9	apply	apply	VERB
iajs-4152	137	10	the	the	DET
iajs-4152	137	11	gershgorin	gershgorin	NOUN
iajs-4152	137	12	theorem	theorem	NOUN
iajs-4152	137	13	(	(	PUNCT
iajs-4152	137	14	31	31	NUM
iajs-4152	137	15	)	)	PUNCT
iajs-4152	137	16	.	.	PUNCT
iajs-4152	138	1	|	|	ADV
iajs-4152	139	1	|	|	ADV
iajs-4152	139	2	|	|	INTJ
iajs-4152	140	1	|	|	INTJ
iajs-4152	140	2	|	|	INTJ
iajs-4152	141	1	|	|	INTJ
iajs-4152	141	2	|	|	INTJ
iajs-4152	142	1	|	|	INTJ
iajs-4152	142	2	|	|	INTJ
iajs-4152	143	1	|	|	INTJ
iajs-4152	143	2	|	|	INTJ
iajs-4152	144	1	|	|	INTJ
iajs-4152	144	2	|	|	INTJ
iajs-4152	145	1	|	|	INTJ
iajs-4152	145	2	|	|	INTJ
iajs-4152	146	1	|	|	INTJ
iajs-4152	146	2	|	|	INTJ
iajs-4152	147	1	|	|	INTJ
iajs-4152	147	2	|	|	INTJ
iajs-4152	148	1	|	|	INTJ
iajs-4152	148	2	|	|	INTJ
iajs-4152	149	1	|	|	INTJ
iajs-4152	149	2	|	|	INTJ
iajs-4152	150	1	|	|	INTJ
iajs-4152	150	2	|	|	INTJ
iajs-4152	151	1	|	|	INTJ
iajs-4152	151	2	|	|	INTJ
iajs-4152	152	1	|	|	INTJ
iajs-4152	152	2	|	|	INTJ
iajs-4152	153	1	|	|	INTJ
iajs-4152	153	2	|	|	ADV
iajs-4152	153	3	|	|	ADV
iajs-4152	153	4	consequently	consequently	ADV
iajs-4152	153	5	,	,	PUNCT
iajs-4152	153	6	all	all	DET
iajs-4152	153	7	the	the	DET
iajs-4152	153	8	eigenvalues	eigenvalue	NOUN
iajs-4152	153	9	of	of	ADP
iajs-4152	153	10	at	at	ADP
iajs-4152	153	11	ipe	ipe	NOUN
iajs-4152	153	12	are	be	AUX
iajs-4152	153	13	present	present	ADJ
iajs-4152	153	14	in	in	ADP
iajs-4152	153	15	,	,	PUNCT
iajs-4152	153	16	|	|	ADV
iajs-4152	154	1	|	|	ADV
iajs-4152	154	2	∑	∑	INTJ
iajs-4152	154	3	|	|	ADV
iajs-4152	154	4	|	|	ADV
iajs-4152	154	5	ihjpas	ihjpa	VERB
iajs-4152	154	6	.	.	PUNCT
iajs-4152	155	1	2025,38(4	2025,38(4	NOUN
iajs-4152	155	2	)	)	PUNCT
iajs-4152	155	3	414	414	NUM
iajs-4152	155	4	thus	thus	ADV
iajs-4152	155	5	,	,	PUNCT
iajs-4152	155	6	each	each	DET
iajs-4152	155	7	eigenvalue	eigenvalue	NOUN
iajs-4152	155	8	of	of	ADP
iajs-4152	155	9	lies	lie	NOUN
iajs-4152	155	10	within	within	ADP
iajs-4152	155	11	the	the	DET
iajs-4152	155	12	disk	disk	NOUN
iajs-4152	155	13	centered	center	VERB
iajs-4152	155	14	at	at	ADP
iajs-4152	155	15	.	.	PUNCT
iajs-4152	156	1	since	since	SCONJ
iajs-4152	156	2	the	the	DET
iajs-4152	156	3	diagonal	diagonal	ADJ
iajs-4152	156	4	elements	element	NOUN
iajs-4152	156	5	are	be	AUX
iajs-4152	156	6	negative	negative	ADJ
iajs-4152	156	7	and	and	CCONJ
iajs-4152	156	8	condition	condition	NOUN
iajs-4152	156	9	(	(	PUNCT
iajs-4152	156	10	8)	8)	NUM
iajs-4152	156	11	is	be	AUX
iajs-4152	156	12	satisfied	satisfied	ADJ
iajs-4152	156	13	,	,	PUNCT
iajs-4152	156	14	every	every	DET
iajs-4152	156	15	eigenvalue	eigenvalue	NOUN
iajs-4152	156	16	will	will	AUX
iajs-4152	156	17	be	be	AUX
iajs-4152	156	18	located	locate	VERB
iajs-4152	156	19	in	in	ADP
iajs-4152	156	20	the	the	DET
iajs-4152	156	21	left	left	ADJ
iajs-4152	156	22	halfplane	halfplane	NOUN
iajs-4152	156	23	,	,	PUNCT
iajs-4152	156	24	contributing	contribute	VERB
iajs-4152	156	25	to	to	ADP
iajs-4152	156	26	the	the	DET
iajs-4152	156	27	local	local	ADJ
iajs-4152	156	28	asymptotic	asymptotic	ADJ
iajs-4152	156	29	stability	stability	NOUN
iajs-4152	156	30	(	(	PUNCT
iajs-4152	156	31	las	las	NOUN
iajs-4152	156	32	)	)	PUNCT
iajs-4152	156	33	of	of	ADP
iajs-4152	156	34	the	the	DET
iajs-4152	156	35	ipe	ipe	NOUN
iajs-4152	156	36	.	.	PUNCT
iajs-4152	157	1	2.4	2.4	NUM
iajs-4152	157	2	global	global	ADJ
iajs-4152	157	3	stability	stability	NOUN
iajs-4152	157	4	analysis	analysis	NOUN
iajs-4152	157	5	the	the	DET
iajs-4152	157	6	theorem	theorem	NOUN
iajs-4152	157	7	below	below	ADV
iajs-4152	157	8	analyzes	analyze	VERB
iajs-4152	157	9	the	the	DET
iajs-4152	157	10	global	global	ADJ
iajs-4152	157	11	stability	stability	NOUN
iajs-4152	157	12	(	(	PUNCT
iajs-4152	157	13	gas	gas	NOUN
iajs-4152	157	14	)	)	PUNCT
iajs-4152	157	15	at	at	ADP
iajs-4152	157	16	each	each	DET
iajs-4152	157	17	equilibrium	equilibrium	NOUN
iajs-4152	157	18	point	point	NOUN
iajs-4152	157	19	in	in	ADP
iajs-4152	157	20	system	system	NOUN
iajs-4152	157	21	(	(	PUNCT
iajs-4152	157	22	1	1	NUM
iajs-4152	157	23	)	)	PUNCT
iajs-4152	157	24	.	.	PUNCT
iajs-4152	158	1	if	if	SCONJ
iajs-4152	158	2	the	the	DET
iajs-4152	158	3	lyapunov	lyapunov	NOUN
iajs-4152	158	4	function	function	NOUN
iajs-4152	158	5	is	be	AUX
iajs-4152	158	6	satisfied	satisfied	ADJ
iajs-4152	158	7	,	,	PUNCT
iajs-4152	158	8	then	then	ADV
iajs-4152	158	9	the	the	DET
iajs-4152	158	10	system	system	NOUN
iajs-4152	158	11	is	be	AUX
iajs-4152	158	12	gas	gas	NOUN
iajs-4152	158	13	.	.	PUNCT
iajs-4152	159	1	theorem	theorem	NOUN
iajs-4152	159	2	5	5	NUM
iajs-4152	159	3	.	.	PUNCT
iajs-4152	159	4	suppose	suppose	VERB
iajs-4152	159	5	the	the	DET
iajs-4152	159	6	fpep	fpep	PROPN
iajs-4152	159	7	is	be	AUX
iajs-4152	159	8	las	las	NOUN
iajs-4152	159	9	in	in	ADP
iajs-4152	159	10	.	.	PUNCT
iajs-4152	160	1	if	if	SCONJ
iajs-4152	160	2	the	the	DET
iajs-4152	160	3	condition	condition	NOUN
iajs-4152	160	4	(	(	PUNCT
iajs-4152	160	5	6	6	NUM
iajs-4152	160	6	)	)	PUNCT
iajs-4152	160	7	is	be	AUX
iajs-4152	160	8	satisfied	satisfied	ADJ
iajs-4152	160	9	,	,	PUNCT
iajs-4152	160	10	then	then	ADV
iajs-4152	160	11	it	it	PRON
iajs-4152	160	12	is	be	AUX
iajs-4152	160	13	gas	gas	NOUN
iajs-4152	160	14	.	.	PUNCT
iajs-4152	161	1	proof	proof	NOUN
iajs-4152	161	2	.	.	PUNCT
iajs-4152	162	1	assume	assume	VERB
iajs-4152	162	2	this	this	DET
iajs-4152	162	3	positive	positive	ADJ
iajs-4152	162	4	value	value	NOUN
iajs-4152	162	5	is	be	AUX
iajs-4152	162	6	a	a	DET
iajs-4152	162	7	definite	definite	ADJ
iajs-4152	162	8	function	function	NOUN
iajs-4152	162	9	:	:	PUNCT
iajs-4152	162	10	(	(	PUNCT
iajs-4152	162	11	)	)	PUNCT
iajs-4152	162	12	(	(	PUNCT
iajs-4152	162	13	)	)	PUNCT
iajs-4152	162	14	(	(	PUNCT
iajs-4152	162	15	)	)	PUNCT
iajs-4152	162	16	(	(	PUNCT
iajs-4152	162	17	)	)	PUNCT
iajs-4152	162	18	(	(	PUNCT
iajs-4152	162	19	)	)	PUNCT
iajs-4152	162	20	.	.	PUNCT
iajs-4152	163	1	such	such	ADJ
iajs-4152	163	2	that	that	PRON
iajs-4152	163	3	(	(	PUNCT
iajs-4152	163	4	)	)	PUNCT
iajs-4152	163	5	is	be	AUX
iajs-4152	163	6	continuously	continuously	ADV
iajs-4152	163	7	differentiable	differentiable	ADJ
iajs-4152	163	8	with	with	ADP
iajs-4152	163	9	(	(	PUNCT
iajs-4152	163	10	)	)	PUNCT
iajs-4152	163	11	,	,	PUNCT
iajs-4152	163	12	and	and	CCONJ
iajs-4152	163	13	(	(	PUNCT
iajs-4152	163	14	)	)	PUNCT
iajs-4152	163	15	,	,	PUNCT
iajs-4152	163	16	(	(	PUNCT
iajs-4152	163	17	)	)	PUNCT
iajs-4152	163	18	(	(	PUNCT
iajs-4152	163	19	0	0	NUM
iajs-4152	163	20	,	,	PUNCT
iajs-4152	163	21	0	0	NUM
iajs-4152	163	22	,	,	PUNCT
iajs-4152	163	23	0	0	NUM
iajs-4152	163	24	,	,	PUNCT
iajs-4152	163	25	0	0	NUM
iajs-4152	163	26	)	)	PUNCT
iajs-4152	163	27	.	.	PUNCT
iajs-4152	164	1	further	far	ADV
iajs-4152	164	2	,	,	PUNCT
iajs-4152	164	3	after	after	ADP
iajs-4152	164	4	conducting	conduct	VERB
iajs-4152	164	5	additional	additional	ADJ
iajs-4152	164	6	calculations	calculation	NOUN
iajs-4152	164	7	,	,	PUNCT
iajs-4152	164	8	we	we	PRON
iajs-4152	164	9	arrive	arrive	VERB
iajs-4152	164	10	at	at	ADP
iajs-4152	164	11	the	the	DET
iajs-4152	164	12	following	follow	VERB
iajs-4152	164	13	outcome	outcome	NOUN
iajs-4152	164	14	:	:	PUNCT
iajs-4152	164	15	(	(	PUNCT
iajs-4152	164	16	)	)	PUNCT
iajs-4152	164	17	(	(	PUNCT
iajs-4152	164	18	)	)	PUNCT
iajs-4152	164	19	.	.	PUNCT
iajs-4152	165	1	so	so	ADV
iajs-4152	165	2	,	,	PUNCT
iajs-4152	165	3	is	be	AUX
iajs-4152	165	4	a	a	DET
iajs-4152	165	5	lyapunov	lyapunov	ADJ
iajs-4152	165	6	function	function	NOUN
iajs-4152	165	7	when	when	SCONJ
iajs-4152	165	8	we	we	PRON
iajs-4152	165	9	get	get	VERB
iajs-4152	165	10	from	from	ADP
iajs-4152	165	11	condition	condition	NOUN
iajs-4152	165	12	(	(	PUNCT
iajs-4152	165	13	6	6	NUM
iajs-4152	165	14	)	)	PUNCT
iajs-4152	165	15	,	,	PUNCT
iajs-4152	165	16	which	which	PRON
iajs-4152	165	17	implies	imply	VERB
iajs-4152	165	18	that	that	SCONJ
iajs-4152	165	19	the	the	DET
iajs-4152	165	20	fpep	fpep	NOUN
iajs-4152	165	21	is	be	AUX
iajs-4152	165	22	gas	gas	NOUN
iajs-4152	165	23	.	.	PUNCT
iajs-4152	166	1	theorem	theorem	NOUN
iajs-4152	166	2	6	6	NUM
iajs-4152	166	3	.	.	PUNCT
iajs-4152	166	4	consider	consider	VERB
iajs-4152	166	5	fpdep	fpdep	NOUN
iajs-4152	166	6	as	as	ADP
iajs-4152	166	7	las	las	PROPN
iajs-4152	166	8	,	,	PUNCT
iajs-4152	166	9	thus	thus	ADV
iajs-4152	166	10	,	,	PUNCT
iajs-4152	166	11	in	in	ADP
iajs-4152	166	12	the	the	DET
iajs-4152	166	13	sub	sub	NOUN
iajs-4152	166	14	region	region	NOUN
iajs-4152	166	15	it	it	PRON
iajs-4152	166	16	is	be	AUX
iajs-4152	166	17	gas	gas	NOUN
iajs-4152	166	18	when	when	SCONJ
iajs-4152	166	19	:	:	PUNCT
iajs-4152	166	20	̅	̅	SYM
iajs-4152	166	21	̅	̅	NOUN
iajs-4152	166	22	}	}	PUNCT
iajs-4152	166	23	,	,	PUNCT
iajs-4152	166	24	(	(	PUNCT
iajs-4152	166	25	9	9	X
iajs-4152	166	26	)	)	PUNCT
iajs-4152	166	27	where	where	SCONJ
iajs-4152	166	28	are	be	AUX
iajs-4152	166	29	given	give	VERB
iajs-4152	166	30	in	in	ADP
iajs-4152	166	31	the	the	DET
iajs-4152	166	32	proof	proof	NOUN
iajs-4152	166	33	.	.	PUNCT
iajs-4152	167	1	proof	proof	NOUN
iajs-4152	167	2	.	.	PUNCT
iajs-4152	168	1	assume	assume	VERB
iajs-4152	168	2	this	this	DET
iajs-4152	168	3	positive	positive	ADJ
iajs-4152	168	4	value	value	NOUN
iajs-4152	168	5	is	be	AUX
iajs-4152	168	6	a	a	DET
iajs-4152	168	7	definite	definite	ADJ
iajs-4152	168	8	function	function	NOUN
iajs-4152	168	9	:	:	PUNCT
iajs-4152	168	10	(	(	PUNCT
iajs-4152	168	11	)	)	PUNCT
iajs-4152	168	12	(	(	PUNCT
iajs-4152	168	13	̅	̅	NOUN
iajs-4152	168	14	)	)	PUNCT
iajs-4152	168	15	(	(	PUNCT
iajs-4152	168	16	̅	̅	NOUN
iajs-4152	168	17	)	)	PUNCT
iajs-4152	168	18	where	where	SCONJ
iajs-4152	168	19	(	(	PUNCT
iajs-4152	168	20	)	)	PUNCT
iajs-4152	168	21	is	be	AUX
iajs-4152	168	22	continuously	continuously	ADV
iajs-4152	168	23	differentiable	differentiable	ADJ
iajs-4152	168	24	with	with	ADP
iajs-4152	168	25	(	(	PUNCT
iajs-4152	168	26	̅	̅	NOUN
iajs-4152	168	27	̅	̅	NOUN
iajs-4152	168	28	)	)	PUNCT
iajs-4152	168	29	,	,	PUNCT
iajs-4152	168	30	and	and	CCONJ
iajs-4152	168	31	(	(	PUNCT
iajs-4152	168	32	)	)	PUNCT
iajs-4152	168	33	,	,	PUNCT
iajs-4152	168	34	(	(	PUNCT
iajs-4152	168	35	)	)	PUNCT
iajs-4152	168	36	(	(	PUNCT
iajs-4152	168	37	̅	̅	NOUN
iajs-4152	168	38	,	,	PUNCT
iajs-4152	168	39	̅	̅	NOUN
iajs-4152	168	40	,	,	PUNCT
iajs-4152	168	41	0	0	NUM
iajs-4152	168	42	,	,	PUNCT
iajs-4152	168	43	0	0	NUM
iajs-4152	168	44	)	)	PUNCT
iajs-4152	168	45	.	.	PUNCT
iajs-4152	169	1	also	also	ADV
iajs-4152	169	2	,	,	PUNCT
iajs-4152	169	3	(	(	PUNCT
iajs-4152	169	4	̅	̅	NOUN
iajs-4152	169	5	)	)	PUNCT
iajs-4152	169	6	(	(	PUNCT
iajs-4152	169	7	̅	̅	NOUN
iajs-4152	169	8	)	)	PUNCT
iajs-4152	169	9	(	(	PUNCT
iajs-4152	169	10	̅	̅	NOUN
iajs-4152	169	11	)	)	PUNCT
iajs-4152	169	12	(	(	PUNCT
iajs-4152	169	13	)	)	PUNCT
iajs-4152	169	14	(	(	PUNCT
iajs-4152	169	15	̅	̅	NOUN
iajs-4152	169	16	)	)	PUNCT
iajs-4152	169	17	(	(	PUNCT
iajs-4152	169	18	)	)	PUNCT
iajs-4152	169	19	on	on	ADP
iajs-4152	169	20	completing	complete	VERB
iajs-4152	169	21	far	far	ADV
iajs-4152	169	22	more	more	ADJ
iajs-4152	169	23	calculations	calculation	NOUN
iajs-4152	169	24	,	,	PUNCT
iajs-4152	169	25	we	we	PRON
iajs-4152	169	26	find	find	VERB
iajs-4152	169	27	the	the	DET
iajs-4152	169	28	below	below	ADJ
iajs-4152	169	29	result	result	NOUN
iajs-4152	169	30	:	:	PUNCT
iajs-4152	169	31	,	,	PUNCT
iajs-4152	169	32	√	√	NUM
iajs-4152	169	33	(	(	PUNCT
iajs-4152	169	34	̅	̅	NOUN
iajs-4152	169	35	)	)	PUNCT
iajs-4152	169	36	√	√	PROPN
iajs-4152	169	37	(	(	PUNCT
iajs-4152	169	38	̅	̅	NOUN
iajs-4152	169	39	)	)	PUNCT
iajs-4152	169	40	(	(	PUNCT
iajs-4152	169	41	(	(	PUNCT
iajs-4152	169	42	)	)	PUNCT
iajs-4152	169	43	)	)	PUNCT
iajs-4152	169	44	(	(	PUNCT
iajs-4152	169	45	̅	̅	NOUN
iajs-4152	169	46	)	)	PUNCT
iajs-4152	169	47	(	(	PUNCT
iajs-4152	169	48	)	)	PUNCT
iajs-4152	169	49	(	(	PUNCT
iajs-4152	169	50	̅	̅	NOUN
iajs-4152	169	51	)	)	PUNCT
iajs-4152	169	52	(	(	PUNCT
iajs-4152	169	53	)	)	PUNCT
iajs-4152	169	54	where	where	SCONJ
iajs-4152	169	55	(	(	PUNCT
iajs-4152	169	56	̅	̅	NOUN
iajs-4152	169	57	)	)	PUNCT
iajs-4152	169	58	,	,	PUNCT
iajs-4152	169	59	(	(	PUNCT
iajs-4152	169	60	)	)	PUNCT
iajs-4152	169	61	,	,	PUNCT
iajs-4152	169	62	(	(	PUNCT
iajs-4152	169	63	̅	̅	NOUN
iajs-4152	169	64	)	)	PUNCT
iajs-4152	169	65	consequently	consequently	ADV
iajs-4152	169	66	,	,	PUNCT
iajs-4152	169	67	when	when	SCONJ
iajs-4152	169	68	we	we	PRON
iajs-4152	169	69	estimated	estimate	VERB
iajs-4152	169	70	from	from	ADP
iajs-4152	169	71	condition	condition	NOUN
iajs-4152	169	72	(	(	PUNCT
iajs-4152	169	73	9	9	NUM
iajs-4152	169	74	)	)	PUNCT
iajs-4152	169	75	,	,	PUNCT
iajs-4152	169	76	that	that	PRON
iajs-4152	169	77	means	mean	VERB
iajs-4152	169	78	is	be	AUX
iajs-4152	169	79	lyapunov	lyapunov	ADJ
iajs-4152	169	80	function	function	NOUN
iajs-4152	169	81	,	,	PUNCT
iajs-4152	169	82	which	which	PRON
iajs-4152	169	83	implies	imply	VERB
iajs-4152	169	84	that	that	SCONJ
iajs-4152	169	85	fpdep	fpdep	NOUN
iajs-4152	169	86	is	be	AUX
iajs-4152	169	87	gas	gas	NOUN
iajs-4152	169	88	.	.	PUNCT
iajs-4152	170	1	ihjpas	ihjpas	PROPN
iajs-4152	170	2	.	.	PUNCT
iajs-4152	171	1	2025,38(4	2025,38(4	X
iajs-4152	171	2	)	)	PUNCT
iajs-4152	172	1	415	415	NUM
iajs-4152	172	2	theorem	theorem	VERB
iajs-4152	172	3	7	7	NUM
iajs-4152	172	4	.	.	PUNCT
iajs-4152	172	5	under	under	ADP
iajs-4152	172	6	the	the	DET
iajs-4152	172	7	assumption	assumption	NOUN
iajs-4152	172	8	that	that	SCONJ
iajs-4152	172	9	the	the	DET
iajs-4152	172	10	iep	iep	PROPN
iajs-4152	172	11	is	be	AUX
iajs-4152	172	12	las	las	PROPN
iajs-4152	172	13	,	,	PUNCT
iajs-4152	172	14	the	the	DET
iajs-4152	172	15	basin	basin	NOUN
iajs-4152	172	16	of	of	ADP
iajs-4152	172	17	attraction	attraction	NOUN
iajs-4152	172	18	meets	meet	VERB
iajs-4152	172	19	these	these	DET
iajs-4152	172	20	conditions	condition	NOUN
iajs-4152	172	21	:	:	PUNCT
iajs-4152	172	22	}	}	PUNCT
iajs-4152	172	23	,	,	PUNCT
iajs-4152	172	24	(	(	PUNCT
iajs-4152	172	25	10	10	NUM
iajs-4152	172	26	)	)	PUNCT
iajs-4152	172	27	such	such	ADJ
iajs-4152	172	28	that	that	SCONJ
iajs-4152	172	29	all	all	DET
iajs-4152	172	30	symbols	symbol	NOUN
iajs-4152	172	31	have	have	AUX
iajs-4152	172	32	been	be	AUX
iajs-4152	172	33	identified	identify	VERB
iajs-4152	172	34	in	in	ADP
iajs-4152	172	35	proof	proof	NOUN
iajs-4152	172	36	.	.	PUNCT
iajs-4152	173	1	proof	proof	NOUN
iajs-4152	173	2	.	.	PUNCT
iajs-4152	174	1	let	let	VERB
iajs-4152	174	2	this	this	DET
iajs-4152	174	3	positive	positive	ADJ
iajs-4152	174	4	value	value	NOUN
iajs-4152	174	5	be	be	AUX
iajs-4152	174	6	a	a	DET
iajs-4152	174	7	definite	definite	ADJ
iajs-4152	174	8	function	function	NOUN
iajs-4152	174	9	:	:	PUNCT
iajs-4152	174	10	(	(	PUNCT
iajs-4152	174	11	)	)	PUNCT
iajs-4152	174	12	(	(	PUNCT
iajs-4152	174	13	)	)	PUNCT
iajs-4152	174	14	(	(	PUNCT
iajs-4152	174	15	)	)	PUNCT
iajs-4152	174	16	(	(	PUNCT
iajs-4152	174	17	)	)	PUNCT
iajs-4152	174	18	(	(	PUNCT
iajs-4152	174	19	)	)	PUNCT
iajs-4152	174	20	.	.	PUNCT
iajs-4152	175	1	such	such	ADJ
iajs-4152	175	2	that	that	PRON
iajs-4152	175	3	(	(	PUNCT
iajs-4152	175	4	)	)	PUNCT
iajs-4152	175	5	is	be	AUX
iajs-4152	175	6	continuously	continuously	ADV
iajs-4152	175	7	differentiable	differentiable	ADJ
iajs-4152	175	8	with	with	ADP
iajs-4152	175	9	(	(	PUNCT
iajs-4152	175	10	)	)	PUNCT
iajs-4152	175	11	,	,	PUNCT
iajs-4152	175	12	and	and	CCONJ
iajs-4152	175	13	(	(	PUNCT
iajs-4152	175	14	)	)	PUNCT
iajs-4152	175	15	,	,	PUNCT
iajs-4152	175	16	(	(	PUNCT
iajs-4152	175	17	)	)	PUNCT
iajs-4152	175	18	(	(	PUNCT
iajs-4152	175	19	)	)	PUNCT
iajs-4152	175	20	.	.	PUNCT
iajs-4152	176	1	then	then	ADV
iajs-4152	176	2	(	(	PUNCT
iajs-4152	176	3	)	)	PUNCT
iajs-4152	176	4	(	(	PUNCT
iajs-4152	176	5	)	)	PUNCT
iajs-4152	176	6	(	(	PUNCT
iajs-4152	176	7	)	)	PUNCT
iajs-4152	176	8	(	(	PUNCT
iajs-4152	176	9	)	)	PUNCT
iajs-4152	176	10	therefore	therefore	ADV
iajs-4152	176	11	,	,	PUNCT
iajs-4152	176	12	by	by	ADP
iajs-4152	176	13	using	use	VERB
iajs-4152	176	14	system	system	NOUN
iajs-4152	176	15	(	(	PUNCT
iajs-4152	176	16	1	1	NUM
iajs-4152	176	17	)	)	PUNCT
iajs-4152	176	18	and	and	CCONJ
iajs-4152	176	19	manipulating	manipulate	VERB
iajs-4152	176	20	the	the	DET
iajs-4152	176	21	algebra	algebra	NOUN
iajs-4152	176	22	,	,	PUNCT
iajs-4152	176	23	we	we	PRON
iajs-4152	176	24	can	can	AUX
iajs-4152	176	25	describe	describe	VERB
iajs-4152	176	26	as	as	SCONJ
iajs-4152	176	27	follows	follow	VERB
iajs-4152	176	28	:	:	PUNCT
iajs-4152	176	29	0	0	PUNCT
iajs-4152	177	1	(	(	PUNCT
iajs-4152	177	2	)	)	PUNCT
iajs-4152	177	3	(	(	PUNCT
iajs-4152	177	4	)	)	PUNCT
iajs-4152	177	5	(	(	PUNCT
iajs-4152	177	6	)	)	PUNCT
iajs-4152	177	7	(	(	PUNCT
iajs-4152	177	8	)	)	PUNCT
iajs-4152	177	9	1	1	NUM
iajs-4152	177	10	0	0	NUM
iajs-4152	177	11	(	(	PUNCT
iajs-4152	177	12	)	)	PUNCT
iajs-4152	177	13	(	(	PUNCT
iajs-4152	177	14	)	)	PUNCT
iajs-4152	177	15	(	(	PUNCT
iajs-4152	177	16	)	)	PUNCT
iajs-4152	177	17	(	(	PUNCT
iajs-4152	177	18	)	)	PUNCT
iajs-4152	177	19	1	1	NUM
iajs-4152	177	20	0	0	NUM
iajs-4152	177	21	(	(	PUNCT
iajs-4152	177	22	)	)	PUNCT
iajs-4152	177	23	(	(	PUNCT
iajs-4152	177	24	)	)	PUNCT
iajs-4152	177	25	(	(	PUNCT
iajs-4152	177	26	)	)	PUNCT
iajs-4152	177	27	(	(	PUNCT
iajs-4152	177	28	)	)	PUNCT
iajs-4152	177	29	1	1	NUM
iajs-4152	177	30	0	0	NUM
iajs-4152	177	31	(	(	PUNCT
iajs-4152	177	32	)	)	PUNCT
iajs-4152	177	33	(	(	PUNCT
iajs-4152	177	34	)	)	PUNCT
iajs-4152	177	35	(	(	PUNCT
iajs-4152	177	36	)	)	PUNCT
iajs-4152	177	37	(	(	PUNCT
iajs-4152	177	38	)	)	PUNCT
iajs-4152	177	39	1	1	NUM
iajs-4152	177	40	0	0	NUM
iajs-4152	177	41	(	(	PUNCT
iajs-4152	177	42	)	)	PUNCT
iajs-4152	177	43	(	(	PUNCT
iajs-4152	177	44	)	)	PUNCT
iajs-4152	177	45	(	(	PUNCT
iajs-4152	177	46	)	)	PUNCT
iajs-4152	177	47	(	(	PUNCT
iajs-4152	177	48	)	)	PUNCT
iajs-4152	177	49	1	1	NUM
iajs-4152	177	50	0	0	NUM
iajs-4152	177	51	(	(	PUNCT
iajs-4152	177	52	)	)	PUNCT
iajs-4152	177	53	(	(	PUNCT
iajs-4152	177	54	)	)	PUNCT
iajs-4152	177	55	(	(	PUNCT
iajs-4152	177	56	)	)	PUNCT
iajs-4152	177	57	(	(	PUNCT
iajs-4152	177	58	)	)	PUNCT
iajs-4152	177	59	1	1	NUM
iajs-4152	177	60	so	so	ADV
iajs-4152	177	61	,	,	PUNCT
iajs-4152	177	62	applying	apply	VERB
iajs-4152	177	63	condition	condition	NOUN
iajs-4152	177	64	(	(	PUNCT
iajs-4152	177	65	10	10	NUM
iajs-4152	177	66	)	)	PUNCT
iajs-4152	177	67	get	get	VERB
iajs-4152	177	68	the	the	DET
iajs-4152	177	69	following	following	NOUN
iajs-4152	177	70	:	:	PUNCT
iajs-4152	178	1	ihjpas	ihjpas	PROPN
iajs-4152	178	2	.	.	PUNCT
iajs-4152	179	1	2025,38(4	2025,38(4	X
iajs-4152	179	2	)	)	PUNCT
iajs-4152	180	1	416	416	NUM
iajs-4152	180	2	*	*	PUNCT
iajs-4152	180	3	√	√	PROPN
iajs-4152	180	4	(	(	PUNCT
iajs-4152	180	5	)	)	PUNCT
iajs-4152	180	6	√	√	PROPN
iajs-4152	180	7	(	(	PUNCT
iajs-4152	180	8	)	)	PUNCT
iajs-4152	181	1	+	+	CCONJ
iajs-4152	181	2	*	*	PUNCT
iajs-4152	181	3	√	√	PROPN
iajs-4152	181	4	(	(	PUNCT
iajs-4152	181	5	)	)	PUNCT
iajs-4152	181	6	√	√	PROPN
iajs-4152	181	7	(	(	PUNCT
iajs-4152	181	8	)	)	PUNCT
iajs-4152	182	1	+	+	CCONJ
iajs-4152	182	2	*	*	PUNCT
iajs-4152	182	3	√	√	PROPN
iajs-4152	182	4	(	(	PUNCT
iajs-4152	182	5	)	)	PUNCT
iajs-4152	182	6	√	√	PROPN
iajs-4152	182	7	(	(	PUNCT
iajs-4152	182	8	)	)	PUNCT
iajs-4152	183	1	+	+	CCONJ
iajs-4152	183	2	*	*	PUNCT
iajs-4152	183	3	√	√	PROPN
iajs-4152	183	4	(	(	PUNCT
iajs-4152	183	5	)	)	PUNCT
iajs-4152	183	6	√	√	PROPN
iajs-4152	183	7	(	(	PUNCT
iajs-4152	183	8	)	)	PUNCT
iajs-4152	184	1	+	+	CCONJ
iajs-4152	184	2	*	*	PUNCT
iajs-4152	184	3	√	√	PROPN
iajs-4152	184	4	(	(	PUNCT
iajs-4152	184	5	)	)	PUNCT
iajs-4152	184	6	√	√	PROPN
iajs-4152	184	7	(	(	PUNCT
iajs-4152	184	8	)	)	PUNCT
iajs-4152	185	1	+	+	CCONJ
iajs-4152	185	2	*	*	PUNCT
iajs-4152	185	3	√	√	PROPN
iajs-4152	185	4	(	(	PUNCT
iajs-4152	185	5	)	)	PUNCT
iajs-4152	185	6	√	√	PROPN
iajs-4152	185	7	(	(	PUNCT
iajs-4152	185	8	)	)	PUNCT
iajs-4152	185	9	+	+	CCONJ
iajs-4152	185	10	where	where	SCONJ
iajs-4152	185	11	(	(	PUNCT
iajs-4152	185	12	)	)	PUNCT
iajs-4152	185	13	,	,	PUNCT
iajs-4152	185	14	,	,	PUNCT
iajs-4152	185	15	,	,	PUNCT
iajs-4152	185	16	(	(	PUNCT
iajs-4152	185	17	)	)	PUNCT
iajs-4152	185	18	(	(	PUNCT
iajs-4152	185	19	)	)	PUNCT
iajs-4152	185	20	,	,	PUNCT
iajs-4152	185	21	(	(	PUNCT
iajs-4152	185	22	)	)	PUNCT
iajs-4152	185	23	(	(	PUNCT
iajs-4152	185	24	)	)	PUNCT
iajs-4152	185	25	.	.	PUNCT
iajs-4152	186	1	/	/	PUNCT
iajs-4152	186	2	(	(	PUNCT
iajs-4152	186	3	)	)	PUNCT
iajs-4152	186	4	,	,	PUNCT
iajs-4152	186	5	(	(	PUNCT
iajs-4152	186	6	(	(	PUNCT
iajs-4152	186	7	)	)	PUNCT
iajs-4152	186	8	)	)	PUNCT
iajs-4152	186	9	.	.	PUNCT
iajs-4152	187	1	/	/	PUNCT
iajs-4152	187	2	(	(	PUNCT
iajs-4152	187	3	)	)	PUNCT
iajs-4152	187	4	,	,	PUNCT
iajs-4152	187	5	(	(	PUNCT
iajs-4152	187	6	)	)	PUNCT
iajs-4152	187	7	.	.	PUNCT
iajs-4152	188	1	/	/	PUNCT
iajs-4152	188	2	(	(	PUNCT
iajs-4152	188	3	)	)	PUNCT
iajs-4152	188	4	,	,	PUNCT
iajs-4152	188	5	(	(	PUNCT
iajs-4152	188	6	)	)	PUNCT
iajs-4152	188	7	,	,	PUNCT
iajs-4152	188	8	(	(	PUNCT
iajs-4152	188	9	)	)	PUNCT
iajs-4152	188	10	.	.	PUNCT
iajs-4152	189	1	/	/	PUNCT
iajs-4152	189	2	(	(	PUNCT
iajs-4152	189	3	)	)	PUNCT
iajs-4152	189	4	,	,	PUNCT
iajs-4152	189	5	(	(	PUNCT
iajs-4152	189	6	)	)	PUNCT
iajs-4152	189	7	.	.	PUNCT
iajs-4152	190	1	consequently	consequently	ADV
iajs-4152	190	2	,	,	PUNCT
iajs-4152	190	3	in	in	ADP
iajs-4152	190	4	the	the	DET
iajs-4152	190	5	region	region	NOUN
iajs-4152	190	6	where	where	SCONJ
iajs-4152	190	7	condition	condition	NOUN
iajs-4152	190	8	(	(	PUNCT
iajs-4152	190	9	10	10	NUM
iajs-4152	190	10	)	)	PUNCT
iajs-4152	190	11	is	be	AUX
iajs-4152	190	12	satisfied	satisfied	ADJ
iajs-4152	190	13	,	,	PUNCT
iajs-4152	190	14	behaves	behave	VERB
iajs-4152	190	15	as	as	ADP
iajs-4152	190	16	a	a	DET
iajs-4152	190	17	lyapunov	lyapunov	ADJ
iajs-4152	190	18	function	function	NOUN
iajs-4152	190	19	,	,	PUNCT
iajs-4152	190	20	and	and	CCONJ
iajs-4152	190	21	implies	imply	VERB
iajs-4152	190	22	that	that	SCONJ
iajs-4152	190	23	the	the	DET
iajs-4152	190	24	iep	iep	PROPN
iajs-4152	190	25	is	be	AUX
iajs-4152	190	26	globally	globally	ADV
iajs-4152	190	27	asymptotically	asymptotically	ADV
iajs-4152	190	28	stable	stable	ADJ
iajs-4152	190	29	(	(	PUNCT
iajs-4152	190	30	gas	gas	NOUN
iajs-4152	190	31	)	)	PUNCT
iajs-4152	190	32	.	.	PUNCT
iajs-4152	191	1	3	3	X
iajs-4152	191	2	.	.	X
iajs-4152	191	3	numerical	numerical	PROPN
iajs-4152	191	4	simulation	simulation	PROPN
iajs-4152	191	5	this	this	DET
iajs-4152	191	6	section	section	NOUN
iajs-4152	191	7	presents	present	VERB
iajs-4152	191	8	a	a	DET
iajs-4152	191	9	numerical	numerical	ADJ
iajs-4152	191	10	analysis	analysis	NOUN
iajs-4152	191	11	of	of	ADP
iajs-4152	191	12	the	the	DET
iajs-4152	191	13	dynamic	dynamic	ADJ
iajs-4152	191	14	behavior	behavior	NOUN
iajs-4152	191	15	of	of	ADP
iajs-4152	191	16	the	the	DET
iajs-4152	191	17	proposed	propose	VERB
iajs-4152	191	18	system	system	NOUN
iajs-4152	191	19	(	(	PUNCT
iajs-4152	191	20	1	1	NUM
iajs-4152	191	21	)	)	PUNCT
iajs-4152	191	22	,	,	PUNCT
iajs-4152	191	23	conducted	conduct	VERB
iajs-4152	191	24	using	use	VERB
iajs-4152	191	25	matlab	matlab	PROPN
iajs-4152	191	26	r2009b	r2009b	PROPN
iajs-4152	191	27	software	software	PROPN
iajs-4152	191	28	.	.	PUNCT
iajs-4152	192	1	due	due	ADP
iajs-4152	192	2	to	to	ADP
iajs-4152	192	3	the	the	DET
iajs-4152	192	4	absence	absence	NOUN
iajs-4152	192	5	of	of	ADP
iajs-4152	192	6	actual	actual	ADJ
iajs-4152	192	7	data	datum	NOUN
iajs-4152	192	8	for	for	ADP
iajs-4152	192	9	all	all	DET
iajs-4152	192	10	system	system	NOUN
iajs-4152	192	11	parameters	parameter	NOUN
iajs-4152	192	12	,	,	PUNCT
iajs-4152	192	13	hypothetical	hypothetical	ADJ
iajs-4152	192	14	values	value	NOUN
iajs-4152	192	15	have	have	AUX
iajs-4152	192	16	been	be	AUX
iajs-4152	192	17	assigned	assign	VERB
iajs-4152	192	18	to	to	ADP
iajs-4152	192	19	each	each	DET
iajs-4152	192	20	parameter	parameter	NOUN
iajs-4152	192	21	as	as	SCONJ
iajs-4152	192	22	follows	follow	VERB
iajs-4152	192	23	:	:	PUNCT
iajs-4152	192	24	(	(	PUNCT
iajs-4152	192	25	11	11	NUM
iajs-4152	192	26	)	)	PUNCT
iajs-4152	192	27	when	when	SCONJ
iajs-4152	192	28	analyzed	analyze	VERB
iajs-4152	192	29	with	with	ADP
iajs-4152	192	30	the	the	DET
iajs-4152	192	31	specified	specified	ADJ
iajs-4152	192	32	parameter	parameter	NOUN
iajs-4152	192	33	values	value	NOUN
iajs-4152	192	34	and	and	CCONJ
iajs-4152	192	35	a	a	DET
iajs-4152	192	36	variety	variety	NOUN
iajs-4152	192	37	of	of	ADP
iajs-4152	192	38	initial	initial	ADJ
iajs-4152	192	39	conditions	condition	NOUN
iajs-4152	192	40	,	,	PUNCT
iajs-4152	192	41	system	system	NOUN
iajs-4152	192	42	(	(	PUNCT
iajs-4152	192	43	1	1	X
iajs-4152	192	44	)	)	PUNCT
iajs-4152	192	45	clearly	clearly	ADV
iajs-4152	192	46	meets	meet	VERB
iajs-4152	192	47	the	the	DET
iajs-4152	192	48	current	current	ADJ
iajs-4152	192	49	requirements	requirement	NOUN
iajs-4152	192	50	of	of	ADP
iajs-4152	192	51	iep	iep	PROPN
iajs-4152	192	52	.	.	PUNCT
iajs-4152	193	1	the	the	DET
iajs-4152	193	2	path	path	NOUN
iajs-4152	193	3	of	of	ADP
iajs-4152	193	4	system	system	NOUN
iajs-4152	193	5	(	(	PUNCT
iajs-4152	193	6	1	1	X
iajs-4152	193	7	)	)	PUNCT
iajs-4152	193	8	converge	converge	VERB
iajs-4152	193	9	asymptotically	asymptotically	ADV
iajs-4152	193	10	to	to	ADP
iajs-4152	193	11	the	the	DET
iajs-4152	193	12	point	point	NOUN
iajs-4152	193	13	(	(	PUNCT
iajs-4152	193	14	)	)	PUNCT
iajs-4152	193	15	from	from	ADP
iajs-4152	193	16	a	a	DET
iajs-4152	193	17	range	range	NOUN
iajs-4152	193	18	of	of	ADP
iajs-4152	193	19	distinct	distinct	ADJ
iajs-4152	193	20	initial	initial	ADJ
iajs-4152	193	21	points	point	NOUN
iajs-4152	193	22	,	,	PUNCT
iajs-4152	193	23	are	be	AUX
iajs-4152	193	24	shown	show	VERB
iajs-4152	193	25	in	in	ADP
iajs-4152	193	26	figure	figure	NOUN
iajs-4152	193	27	1	1	NUM
iajs-4152	193	28	.	.	PUNCT
iajs-4152	193	29	ihjpas	ihjpas	PROPN
iajs-4152	193	30	.	.	PUNCT
iajs-4152	194	1	2025,38(4	2025,38(4	X
iajs-4152	194	2	)	)	PUNCT
iajs-4152	195	1	417	417	NUM
iajs-4152	195	2	figure	figure	NOUN
iajs-4152	195	3	1	1	NUM
iajs-4152	195	4	.	.	PUNCT
iajs-4152	196	1	asymptotic	asymptotic	ADJ
iajs-4152	196	2	global	global	ADJ
iajs-4152	196	3	stability	stability	NOUN
iajs-4152	196	4	to	to	ADP
iajs-4152	196	5	iep	iep	PROPN
iajs-4152	196	6	for	for	ADP
iajs-4152	196	7	data	datum	NOUN
iajs-4152	196	8	(	(	PUNCT
iajs-4152	196	9	11	11	NUM
iajs-4152	196	10	)	)	PUNCT
iajs-4152	196	11	across	across	ADP
iajs-4152	196	12	a	a	DET
iajs-4152	196	13	variety	variety	NOUN
iajs-4152	196	14	of	of	ADP
iajs-4152	196	15	initial	initial	ADJ
iajs-4152	196	16	conditions	condition	NOUN
iajs-4152	196	17	.	.	PUNCT
iajs-4152	197	1	(	(	PUNCT
iajs-4152	197	2	a	a	X
iajs-4152	197	3	)	)	PUNCT
iajs-4152	197	4	immature	immature	ADJ
iajs-4152	197	5	prey	prey	NOUN
iajs-4152	197	6	paths	path	NOUN
iajs-4152	197	7	.	.	PUNCT
iajs-4152	198	1	(	(	PUNCT
iajs-4152	198	2	b	b	X
iajs-4152	198	3	)	)	PUNCT
iajs-4152	198	4	mature	mature	ADJ
iajs-4152	198	5	prey	prey	NOUN
iajs-4152	198	6	paths	path	NOUN
iajs-4152	198	7	.	.	PUNCT
iajs-4152	199	1	(	(	PUNCT
iajs-4152	199	2	c	c	X
iajs-4152	199	3	)	)	PUNCT
iajs-4152	199	4	immature	immature	ADJ
iajs-4152	199	5	predator	predator	NOUN
iajs-4152	199	6	paths	path	NOUN
iajs-4152	199	7	.	.	PUNCT
iajs-4152	200	1	(	(	PUNCT
iajs-4152	200	2	d	d	X
iajs-4152	200	3	)	)	PUNCT
iajs-4152	200	4	mature	mature	ADJ
iajs-4152	200	5	predator	predator	NOUN
iajs-4152	200	6	paths	path	NOUN
iajs-4152	200	7	.	.	PUNCT
iajs-4152	201	1	(	(	PUNCT
iajs-4152	201	2	e	e	X
iajs-4152	201	3	)	)	PUNCT
iajs-4152	201	4	every	every	DET
iajs-4152	201	5	individual	individual	ADJ
iajs-4152	201	6	path	path	NOUN
iajs-4152	201	7	.	.	PUNCT
iajs-4152	202	1	obviously	obviously	ADV
iajs-4152	202	2	,	,	PUNCT
iajs-4152	202	3	figure	figure	NOUN
iajs-4152	202	4	1	1	NUM
iajs-4152	202	5	confirms	confirm	VERB
iajs-4152	202	6	the	the	DET
iajs-4152	202	7	theoretical	theoretical	ADJ
iajs-4152	202	8	results	result	NOUN
iajs-4152	202	9	,	,	PUNCT
iajs-4152	202	10	showing	show	VERB
iajs-4152	202	11	that	that	SCONJ
iajs-4152	202	12	the	the	DET
iajs-4152	202	13	iep	iep	PROPN
iajs-4152	202	14	is	be	AUX
iajs-4152	202	15	gas	gas	NOUN
iajs-4152	202	16	.	.	PUNCT
iajs-4152	203	1	however	however	ADV
iajs-4152	203	2	,	,	PUNCT
iajs-4152	203	3	if	if	SCONJ
iajs-4152	203	4	,	,	PUNCT
iajs-4152	203	5	the	the	DET
iajs-4152	203	6	path	path	NOUN
iajs-4152	203	7	of	of	ADP
iajs-4152	203	8	system	system	NOUN
iajs-4152	203	9	(	(	PUNCT
iajs-4152	203	10	1	1	X
iajs-4152	203	11	)	)	PUNCT
iajs-4152	203	12	asymptotically	asymptotically	ADV
iajs-4152	203	13	converges	converge	VERB
iajs-4152	203	14	to	to	PART
iajs-4152	203	15	fpep	fpep	VERB
iajs-4152	203	16	,	,	PUNCT
iajs-4152	203	17	(	(	PUNCT
iajs-4152	203	18	)	)	PUNCT
iajs-4152	203	19	,	,	PUNCT
iajs-4152	203	20	as	as	SCONJ
iajs-4152	203	21	displayed	display	VERB
iajs-4152	203	22	in	in	ADP
iajs-4152	203	23	figure	figure	NOUN
iajs-4152	203	24	2	2	NUM
iajs-4152	203	25	.	.	PUNCT
iajs-4152	203	26	ihjpas	ihjpas	PROPN
iajs-4152	203	27	.	.	PUNCT
iajs-4152	204	1	2025,38(4	2025,38(4	X
iajs-4152	204	2	)	)	PUNCT
iajs-4152	204	3	418	418	NUM
iajs-4152	204	4	figure	figure	NOUN
iajs-4152	204	5	2	2	NUM
iajs-4152	204	6	.	.	PUNCT
iajs-4152	205	1	asymptotic	asymptotic	ADJ
iajs-4152	205	2	global	global	ADJ
iajs-4152	205	3	stability	stability	NOUN
iajs-4152	205	4	to	to	PART
iajs-4152	205	5	fpep	fpep	VERB
iajs-4152	205	6	for	for	ADP
iajs-4152	205	7	data	datum	NOUN
iajs-4152	205	8	(	(	PUNCT
iajs-4152	205	9	11	11	NUM
iajs-4152	205	10	)	)	PUNCT
iajs-4152	205	11	across	across	ADP
iajs-4152	205	12	a	a	DET
iajs-4152	205	13	variety	variety	NOUN
iajs-4152	205	14	of	of	ADP
iajs-4152	205	15	initial	initial	ADJ
iajs-4152	205	16	conditions	condition	NOUN
iajs-4152	205	17	.	.	PUNCT
iajs-4152	206	1	(	(	PUNCT
iajs-4152	206	2	a	a	X
iajs-4152	206	3	)	)	PUNCT
iajs-4152	206	4	immature	immature	ADJ
iajs-4152	206	5	prey	prey	NOUN
iajs-4152	206	6	paths	path	NOUN
iajs-4152	206	7	.	.	PUNCT
iajs-4152	207	1	(	(	PUNCT
iajs-4152	207	2	b	b	X
iajs-4152	207	3	)	)	PUNCT
iajs-4152	207	4	mature	mature	ADJ
iajs-4152	207	5	prey	prey	NOUN
iajs-4152	207	6	paths	path	NOUN
iajs-4152	207	7	.	.	PUNCT
iajs-4152	208	1	(	(	PUNCT
iajs-4152	208	2	c	c	X
iajs-4152	208	3	)	)	PUNCT
iajs-4152	208	4	immature	immature	ADJ
iajs-4152	208	5	predator	predator	NOUN
iajs-4152	208	6	paths	path	NOUN
iajs-4152	208	7	.	.	PUNCT
iajs-4152	209	1	(	(	PUNCT
iajs-4152	209	2	d	d	X
iajs-4152	209	3	)	)	PUNCT
iajs-4152	209	4	mature	mature	ADJ
iajs-4152	209	5	predator	predator	NOUN
iajs-4152	209	6	paths	path	NOUN
iajs-4152	209	7	.	.	PUNCT
iajs-4152	210	1	(	(	PUNCT
iajs-4152	210	2	e	e	X
iajs-4152	210	3	)	)	PUNCT
iajs-4152	210	4	every	every	DET
iajs-4152	210	5	individual	individual	ADJ
iajs-4152	210	6	path	path	NOUN
iajs-4152	210	7	.	.	PUNCT
iajs-4152	211	1	furthermore	furthermore	ADV
iajs-4152	211	2	,	,	PUNCT
iajs-4152	211	3	numerical	numerical	ADJ
iajs-4152	211	4	simulations	simulation	NOUN
iajs-4152	211	5	show	show	VERB
iajs-4152	211	6	that	that	SCONJ
iajs-4152	211	7	decreasing	decrease	VERB
iajs-4152	211	8	the	the	DET
iajs-4152	211	9	parameter	parameter	NOUN
iajs-4152	211	10	to	to	ADP
iajs-4152	211	11	for	for	ADP
iajs-4152	211	12	the	the	DET
iajs-4152	211	13	data	datum	NOUN
iajs-4152	211	14	in	in	ADP
iajs-4152	211	15	(	(	PUNCT
iajs-4152	211	16	11	11	NUM
iajs-4152	211	17	)	)	PUNCT
iajs-4152	211	18	causes	cause	VERB
iajs-4152	211	19	the	the	DET
iajs-4152	211	20	path	path	NOUN
iajs-4152	211	21	of	of	ADP
iajs-4152	211	22	system	system	NOUN
iajs-4152	211	23	(	(	PUNCT
iajs-4152	211	24	1	1	NUM
iajs-4152	211	25	)	)	PUNCT
iajs-4152	211	26	to	to	PART
iajs-4152	211	27	converge	converge	VERB
iajs-4152	211	28	to	to	ADP
iajs-4152	211	29	the	the	DET
iajs-4152	211	30	globally	globally	ADV
iajs-4152	211	31	stable	stable	ADJ
iajs-4152	211	32	fixed	fix	VERB
iajs-4152	211	33	point	point	NOUN
iajs-4152	211	34	fpdep	fpdep	NOUN
iajs-4152	211	35	,	,	PUNCT
iajs-4152	211	36	(	(	PUNCT
iajs-4152	211	37	)	)	PUNCT
iajs-4152	211	38	,	,	PUNCT
iajs-4152	211	39	as	as	SCONJ
iajs-4152	211	40	seen	see	VERB
iajs-4152	211	41	in	in	ADP
iajs-4152	211	42	figure	figure	NOUN
iajs-4152	211	43	3	3	NUM
iajs-4152	211	44	.	.	PUNCT
iajs-4152	211	45	ihjpas	ihjpas	PROPN
iajs-4152	211	46	.	.	PUNCT
iajs-4152	212	1	2025,38(4	2025,38(4	X
iajs-4152	212	2	)	)	PUNCT
iajs-4152	212	3	419	419	NUM
iajs-4152	212	4	figure	figure	NOUN
iajs-4152	212	5	3	3	NUM
iajs-4152	212	6	.	.	PUNCT
iajs-4152	213	1	asymptotic	asymptotic	ADJ
iajs-4152	213	2	global	global	ADJ
iajs-4152	213	3	stability	stability	NOUN
iajs-4152	213	4	to	to	PART
iajs-4152	213	5	fpdep	fpdep	VERB
iajs-4152	213	6	for	for	ADP
iajs-4152	213	7	data	datum	NOUN
iajs-4152	213	8	(	(	PUNCT
iajs-4152	213	9	11	11	NUM
iajs-4152	213	10	)	)	PUNCT
iajs-4152	213	11	across	across	ADP
iajs-4152	213	12	a	a	DET
iajs-4152	213	13	variety	variety	NOUN
iajs-4152	213	14	of	of	ADP
iajs-4152	213	15	initial	initial	ADJ
iajs-4152	213	16	conditions	condition	NOUN
iajs-4152	213	17	.	.	PUNCT
iajs-4152	214	1	(	(	PUNCT
iajs-4152	214	2	a	a	X
iajs-4152	214	3	)	)	PUNCT
iajs-4152	214	4	immature	immature	ADJ
iajs-4152	214	5	prey	prey	NOUN
iajs-4152	214	6	paths	path	NOUN
iajs-4152	214	7	.	.	PUNCT
iajs-4152	215	1	(	(	PUNCT
iajs-4152	215	2	b	b	X
iajs-4152	215	3	)	)	PUNCT
iajs-4152	215	4	mature	mature	ADJ
iajs-4152	215	5	prey	prey	NOUN
iajs-4152	215	6	paths	path	NOUN
iajs-4152	215	7	.	.	PUNCT
iajs-4152	216	1	(	(	PUNCT
iajs-4152	216	2	c	c	X
iajs-4152	216	3	)	)	PUNCT
iajs-4152	216	4	immature	immature	ADJ
iajs-4152	216	5	predator	predator	NOUN
iajs-4152	216	6	paths	path	NOUN
iajs-4152	216	7	.	.	PUNCT
iajs-4152	217	1	(	(	PUNCT
iajs-4152	217	2	d	d	X
iajs-4152	217	3	)	)	PUNCT
iajs-4152	217	4	mature	mature	ADJ
iajs-4152	217	5	predator	predator	NOUN
iajs-4152	217	6	paths	path	NOUN
iajs-4152	217	7	.	.	PUNCT
iajs-4152	218	1	(	(	PUNCT
iajs-4152	218	2	e	e	X
iajs-4152	218	3	)	)	PUNCT
iajs-4152	218	4	every	every	DET
iajs-4152	218	5	individual	individual	ADJ
iajs-4152	218	6	path	path	NOUN
iajs-4152	218	7	.	.	PUNCT
iajs-4152	219	1	to	to	PART
iajs-4152	219	2	examine	examine	VERB
iajs-4152	219	3	how	how	SCONJ
iajs-4152	219	4	altering	alter	VERB
iajs-4152	219	5	a	a	DET
iajs-4152	219	6	single	single	ADJ
iajs-4152	219	7	parameter	parameter	NOUN
iajs-4152	219	8	affects	affect	VERB
iajs-4152	219	9	the	the	DET
iajs-4152	219	10	dynamic	dynamic	ADJ
iajs-4152	219	11	behavior	behavior	NOUN
iajs-4152	219	12	of	of	ADP
iajs-4152	219	13	system	system	NOUN
iajs-4152	219	14	(	(	PUNCT
iajs-4152	219	15	1	1	NUM
iajs-4152	219	16	)	)	PUNCT
iajs-4152	219	17	,	,	PUNCT
iajs-4152	219	18	we	we	PRON
iajs-4152	219	19	obtained	obtain	VERB
iajs-4152	219	20	the	the	DET
iajs-4152	219	21	following	following	ADJ
iajs-4152	219	22	results	result	NOUN
iajs-4152	219	23	.	.	PUNCT
iajs-4152	220	1	by	by	ADP
iajs-4152	220	2	changing	change	VERB
iajs-4152	220	3	the	the	DET
iajs-4152	220	4	parameter	parameter	NOUN
iajs-4152	220	5	,	,	PUNCT
iajs-4152	220	6	with	with	ADP
iajs-4152	220	7	reminder	reminder	NOUN
iajs-4152	220	8	the	the	DET
iajs-4152	220	9	other	other	ADJ
iajs-4152	220	10	parameter	parameter	NOUN
iajs-4152	220	11	value	value	NOUN
iajs-4152	220	12	as	as	ADP
iajs-4152	220	13	in	in	ADP
iajs-4152	220	14	data	datum	NOUN
iajs-4152	220	15	(	(	PUNCT
iajs-4152	220	16	11	11	NUM
iajs-4152	220	17	)	)	PUNCT
iajs-4152	220	18	,	,	PUNCT
iajs-4152	220	19	then	then	ADV
iajs-4152	220	20	system	system	NOUN
iajs-4152	220	21	(	(	PUNCT
iajs-4152	220	22	1	1	X
iajs-4152	220	23	)	)	PUNCT
iajs-4152	220	24	approaches	approach	VERB
iajs-4152	220	25	asymptotically	asymptotically	ADV
iajs-4152	220	26	at	at	ADP
iajs-4152	220	27	fpdep	fpdep	NOUN
iajs-4152	220	28	(	(	PUNCT
iajs-4152	220	29	̅	̅	NOUN
iajs-4152	220	30	̅	̅	NOUN
iajs-4152	220	31	)	)	PUNCT
iajs-4152	220	32	,	,	PUNCT
iajs-4152	220	33	as	as	SCONJ
iajs-4152	220	34	shown	show	VERB
iajs-4152	220	35	in	in	ADP
iajs-4152	220	36	figure	figure	NOUN
iajs-4152	220	37	4	4	NUM
iajs-4152	220	38	.	.	PUNCT
iajs-4152	221	1	additionally	additionally	ADV
iajs-4152	221	2	,	,	PUNCT
iajs-4152	221	3	when	when	SCONJ
iajs-4152	221	4	increases	increase	NOUN
iajs-4152	221	5	to	to	ADP
iajs-4152	221	6	a	a	DET
iajs-4152	221	7	value	value	NOUN
iajs-4152	221	8	in	in	ADP
iajs-4152	221	9	the	the	DET
iajs-4152	221	10	range	range	NOUN
iajs-4152	221	11	,	,	PUNCT
iajs-4152	221	12	with	with	ADP
iajs-4152	221	13	the	the	DET
iajs-4152	221	14	other	other	ADJ
iajs-4152	221	15	parameters	parameter	NOUN
iajs-4152	221	16	kept	keep	VERB
iajs-4152	221	17	the	the	DET
iajs-4152	221	18	same	same	ADJ
iajs-4152	221	19	as	as	ADP
iajs-4152	221	20	in	in	ADP
iajs-4152	221	21	data	datum	NOUN
iajs-4152	221	22	(	(	PUNCT
iajs-4152	221	23	11	11	NUM
iajs-4152	221	24	)	)	PUNCT
iajs-4152	221	25	,	,	PUNCT
iajs-4152	221	26	system	system	NOUN
iajs-4152	221	27	(	(	PUNCT
iajs-4152	221	28	1	1	X
iajs-4152	221	29	)	)	PUNCT
iajs-4152	221	30	asymptotically	asymptotically	ADV
iajs-4152	221	31	approaches	approach	VERB
iajs-4152	221	32	the	the	DET
iajs-4152	221	33	fixed	fixed	ADJ
iajs-4152	221	34	point	point	NOUN
iajs-4152	221	35	(	(	PUNCT
iajs-4152	221	36	̅	̅	NOUN
iajs-4152	221	37	̅	̅	NOUN
iajs-4152	221	38	)	)	PUNCT
iajs-4152	221	39	,	,	PUNCT
iajs-4152	221	40	as	as	SCONJ
iajs-4152	221	41	shown	show	VERB
iajs-4152	221	42	in	in	ADP
iajs-4152	221	43	figure	figure	NOUN
iajs-4152	221	44	5	5	NUM
iajs-4152	221	45	.	.	PUNCT
iajs-4152	222	1	finally	finally	ADV
iajs-4152	222	2	,	,	PUNCT
iajs-4152	222	3	the	the	DET
iajs-4152	222	4	trajectory	trajectory	NOUN
iajs-4152	222	5	of	of	ADP
iajs-4152	222	6	system	system	NOUN
iajs-4152	222	7	(	(	PUNCT
iajs-4152	222	8	1	1	X
iajs-4152	222	9	)	)	PUNCT
iajs-4152	222	10	asymptotically	asymptotically	ADV
iajs-4152	222	11	approaches	approach	VERB
iajs-4152	222	12	the	the	DET
iajs-4152	222	13	fpdep	fpdep	NOUN
iajs-4152	222	14	(	(	PUNCT
iajs-4152	222	15	̅	̅	NOUN
iajs-4152	222	16	̅	̅	NOUN
iajs-4152	222	17	)	)	PUNCT
iajs-4152	222	18	when	when	SCONJ
iajs-4152	222	19	using	use	VERB
iajs-4152	222	20	the	the	DET
iajs-4152	222	21	parameter	parameter	NOUN
iajs-4152	222	22	values	value	NOUN
iajs-4152	222	23	from	from	ADP
iajs-4152	222	24	data	datum	NOUN
iajs-4152	222	25	set	set	VERB
iajs-4152	222	26	(	(	PUNCT
iajs-4152	222	27	11	11	NUM
iajs-4152	222	28	)	)	PUNCT
iajs-4152	222	29	with	with	ADP
iajs-4152	222	30	varying	vary	VERB
iajs-4152	222	31	in	in	ADP
iajs-4152	222	32	the	the	DET
iajs-4152	222	33	range	range	NOUN
iajs-4152	222	34	,	,	PUNCT
iajs-4152	222	35	as	as	SCONJ
iajs-4152	222	36	illustrated	illustrate	VERB
iajs-4152	222	37	in	in	ADP
iajs-4152	222	38	figure	figure	NOUN
iajs-4152	222	39	6	6	NUM
iajs-4152	222	40	.	.	PUNCT
iajs-4152	222	41	ihjpas	ihjpas	PROPN
iajs-4152	222	42	.	.	PUNCT
iajs-4152	223	1	2025,38(4	2025,38(4	X
iajs-4152	223	2	)	)	PUNCT
iajs-4152	223	3	420	420	NUM
iajs-4152	223	4	figure	figure	NOUN
iajs-4152	223	5	4	4	NUM
iajs-4152	223	6	.	.	PUNCT
iajs-4152	224	1	the	the	DET
iajs-4152	224	2	solution	solution	NOUN
iajs-4152	224	3	to	to	ADP
iajs-4152	224	4	system	system	NOUN
iajs-4152	224	5	(	(	PUNCT
iajs-4152	224	6	1	1	NUM
iajs-4152	224	7	)	)	PUNCT
iajs-4152	224	8	in	in	ADP
iajs-4152	224	9	data	datum	NOUN
iajs-4152	224	10	(	(	PUNCT
iajs-4152	224	11	11	11	NUM
iajs-4152	224	12	)	)	PUNCT
iajs-4152	224	13	over	over	ADP
iajs-4152	224	14	time	time	NOUN
iajs-4152	224	15	,	,	PUNCT
iajs-4152	224	16	with	with	ADP
iajs-4152	224	17	different	different	ADJ
iajs-4152	224	18	values	value	NOUN
iajs-4152	224	19	.	.	PUNCT
iajs-4152	225	1	(	(	PUNCT
iajs-4152	225	2	a	a	X
iajs-4152	225	3	)	)	PUNCT
iajs-4152	225	4	globally	globally	ADV
iajs-4152	225	5	asymptotically	asymptotically	ADV
iajs-4152	225	6	stable	stable	ADJ
iajs-4152	225	7	iep	iep	PROPN
iajs-4152	225	8	for	for	ADP
iajs-4152	225	9	.	.	PUNCT
iajs-4152	226	1	(	(	PUNCT
iajs-4152	226	2	b	b	X
iajs-4152	226	3	)	)	PUNCT
iajs-4152	226	4	globally	globally	ADV
iajs-4152	226	5	asymptotically	asymptotically	ADV
iajs-4152	226	6	stable	stable	ADJ
iajs-4152	226	7	fpdep	fpdep	NOUN
iajs-4152	226	8	for	for	ADP
iajs-4152	226	9	.	.	PUNCT
iajs-4152	227	1	figure	figure	NOUN
iajs-4152	227	2	5	5	NUM
iajs-4152	227	3	.	.	PUNCT
iajs-4152	228	1	the	the	DET
iajs-4152	228	2	solution	solution	NOUN
iajs-4152	228	3	to	to	ADP
iajs-4152	228	4	system	system	NOUN
iajs-4152	228	5	(	(	PUNCT
iajs-4152	228	6	1	1	NUM
iajs-4152	228	7	)	)	PUNCT
iajs-4152	228	8	in	in	ADP
iajs-4152	228	9	data	datum	NOUN
iajs-4152	228	10	(	(	PUNCT
iajs-4152	228	11	11	11	NUM
iajs-4152	228	12	)	)	PUNCT
iajs-4152	228	13	over	over	ADP
iajs-4152	228	14	time	time	NOUN
iajs-4152	228	15	,	,	PUNCT
iajs-4152	228	16	with	with	ADP
iajs-4152	228	17	different	different	ADJ
iajs-4152	228	18	values	value	NOUN
iajs-4152	228	19	.	.	PUNCT
iajs-4152	229	1	(	(	PUNCT
iajs-4152	229	2	a	a	X
iajs-4152	229	3	)	)	PUNCT
iajs-4152	229	4	globally	globally	ADV
iajs-4152	229	5	asymptotically	asymptotically	ADV
iajs-4152	229	6	stable	stable	ADJ
iajs-4152	229	7	iep	iep	PROPN
iajs-4152	229	8	for	for	ADP
iajs-4152	229	9	.	.	PUNCT
iajs-4152	230	1	(	(	PUNCT
iajs-4152	230	2	b	b	X
iajs-4152	230	3	)	)	PUNCT
iajs-4152	230	4	globally	globally	ADV
iajs-4152	230	5	asymptotically	asymptotically	ADV
iajs-4152	230	6	stable	stable	ADJ
iajs-4152	230	7	fpdep	fpdep	NOUN
iajs-4152	230	8	for	for	ADP
iajs-4152	230	9	.	.	PUNCT
iajs-4152	231	1	figure	figure	VERB
iajs-4152	231	2	6.the	6.the	DET
iajs-4152	231	3	solution	solution	NOUN
iajs-4152	231	4	to	to	ADP
iajs-4152	231	5	system	system	NOUN
iajs-4152	231	6	(	(	PUNCT
iajs-4152	231	7	1	1	NUM
iajs-4152	231	8	)	)	PUNCT
iajs-4152	231	9	in	in	ADP
iajs-4152	231	10	data	datum	NOUN
iajs-4152	231	11	(	(	PUNCT
iajs-4152	231	12	11	11	NUM
iajs-4152	231	13	)	)	PUNCT
iajs-4152	231	14	over	over	ADP
iajs-4152	231	15	time	time	NOUN
iajs-4152	231	16	,	,	PUNCT
iajs-4152	231	17	with	with	ADP
iajs-4152	231	18	different	different	ADJ
iajs-4152	231	19	values	value	NOUN
iajs-4152	231	20	.	.	PUNCT
iajs-4152	232	1	(	(	PUNCT
iajs-4152	232	2	a	a	X
iajs-4152	232	3	)	)	PUNCT
iajs-4152	232	4	globally	globally	ADV
iajs-4152	232	5	asymptotically	asymptotically	ADV
iajs-4152	232	6	stable	stable	ADJ
iajs-4152	232	7	iep	iep	PROPN
iajs-4152	232	8	for	for	ADP
iajs-4152	232	9	.	.	PUNCT
iajs-4152	233	1	(	(	PUNCT
iajs-4152	233	2	b	b	X
iajs-4152	233	3	)	)	PUNCT
iajs-4152	233	4	globally	globally	ADV
iajs-4152	233	5	asymptotically	asymptotically	ADV
iajs-4152	233	6	stable	stable	ADJ
iajs-4152	233	7	fpdep	fpdep	NOUN
iajs-4152	233	8	for	for	ADP
iajs-4152	233	9	.	.	PUNCT
iajs-4152	234	1	4	4	X
iajs-4152	234	2	.	.	X
iajs-4152	234	3	conclusion	conclusion	NOUN
iajs-4152	234	4	in	in	ADP
iajs-4152	234	5	this	this	DET
iajs-4152	234	6	paper	paper	NOUN
iajs-4152	234	7	,	,	PUNCT
iajs-4152	234	8	we	we	PRON
iajs-4152	234	9	developed	develop	VERB
iajs-4152	234	10	a	a	DET
iajs-4152	234	11	stage	stage	NOUN
iajs-4152	234	12	-	-	PUNCT
iajs-4152	234	13	structured	structure	VERB
iajs-4152	234	14	prey	prey	NOUN
iajs-4152	234	15	-	-	PUNCT
iajs-4152	234	16	predator	predator	NOUN
iajs-4152	234	17	ecosystem	ecosystem	NOUN
iajs-4152	234	18	model	model	NOUN
iajs-4152	234	19	for	for	ADP
iajs-4152	234	20	both	both	DET
iajs-4152	234	21	species	specie	NOUN
iajs-4152	234	22	,	,	PUNCT
iajs-4152	234	23	incorporating	incorporate	VERB
iajs-4152	234	24	immature	immature	ADJ
iajs-4152	234	25	and	and	CCONJ
iajs-4152	234	26	mature	mature	ADJ
iajs-4152	234	27	stages	stage	NOUN
iajs-4152	234	28	.	.	PUNCT
iajs-4152	235	1	to	to	PART
iajs-4152	235	2	construct	construct	VERB
iajs-4152	235	3	a	a	DET
iajs-4152	235	4	four	four	NUM
iajs-4152	235	5	-	-	PUNCT
iajs-4152	235	6	dimensional	dimensional	ADJ
iajs-4152	235	7	system	system	NOUN
iajs-4152	235	8	,	,	PUNCT
iajs-4152	235	9	we	we	PRON
iajs-4152	235	10	made	make	VERB
iajs-4152	235	11	several	several	ADJ
iajs-4152	235	12	assumptions	assumption	NOUN
iajs-4152	235	13	:	:	PUNCT
iajs-4152	235	14	the	the	DET
iajs-4152	235	15	immature	immature	ADJ
iajs-4152	235	16	predator	predator	NOUN
iajs-4152	235	17	is	be	AUX
iajs-4152	235	18	solely	solely	ADV
iajs-4152	235	19	responsible	responsible	ADJ
iajs-4152	235	20	for	for	ADP
iajs-4152	235	21	attacks	attack	NOUN
iajs-4152	235	22	,	,	PUNCT
iajs-4152	235	23	while	while	SCONJ
iajs-4152	235	24	only	only	ADV
iajs-4152	235	25	the	the	DET
iajs-4152	235	26	mature	mature	ADJ
iajs-4152	235	27	species	specie	NOUN
iajs-4152	235	28	undergoes	undergo	VERB
iajs-4152	235	29	harvesting	harvesting	NOUN
iajs-4152	235	30	.	.	PUNCT
iajs-4152	236	1	we	we	PRON
iajs-4152	236	2	examined	examine	VERB
iajs-4152	236	3	the	the	DET
iajs-4152	236	4	boundedness	boundedness	NOUN
iajs-4152	236	5	of	of	ADP
iajs-4152	236	6	system	system	NOUN
iajs-4152	236	7	(	(	PUNCT
iajs-4152	236	8	1	1	X
iajs-4152	236	9	)	)	PUNCT
iajs-4152	236	10	ihjpas	ihjpa	NOUN
iajs-4152	236	11	.	.	PUNCT
iajs-4152	237	1	2025,38(4	2025,38(4	NOUN
iajs-4152	237	2	)	)	PUNCT
iajs-4152	238	1	421	421	NUM
iajs-4152	238	2	and	and	CCONJ
iajs-4152	238	3	defined	define	VERB
iajs-4152	238	4	existence	existence	NOUN
iajs-4152	238	5	conditions	condition	NOUN
iajs-4152	238	6	for	for	ADP
iajs-4152	238	7	all	all	DET
iajs-4152	238	8	three	three	NUM
iajs-4152	238	9	equilibrium	equilibrium	NOUN
iajs-4152	238	10	points	point	NOUN
iajs-4152	238	11	.	.	PUNCT
iajs-4152	239	1	local	local	ADJ
iajs-4152	239	2	and	and	CCONJ
iajs-4152	239	3	global	global	ADJ
iajs-4152	239	4	stability	stability	NOUN
iajs-4152	239	5	analyses	analysis	NOUN
iajs-4152	239	6	were	be	AUX
iajs-4152	239	7	then	then	ADV
iajs-4152	239	8	conducted	conduct	VERB
iajs-4152	239	9	for	for	ADP
iajs-4152	239	10	these	these	DET
iajs-4152	239	11	points	point	NOUN
iajs-4152	239	12	.	.	PUNCT
iajs-4152	240	1	finally	finally	ADV
iajs-4152	240	2	,	,	PUNCT
iajs-4152	240	3	numerical	numerical	ADJ
iajs-4152	240	4	simulations	simulation	NOUN
iajs-4152	240	5	were	be	AUX
iajs-4152	240	6	used	use	VERB
iajs-4152	240	7	to	to	PART
iajs-4152	240	8	evaluate	evaluate	VERB
iajs-4152	240	9	the	the	DET
iajs-4152	240	10	parameters	parameter	NOUN
iajs-4152	240	11	influencing	influence	VERB
iajs-4152	240	12	system	system	NOUN
iajs-4152	240	13	dynamics	dynamic	NOUN
iajs-4152	240	14	and	and	CCONJ
iajs-4152	240	15	to	to	PART
iajs-4152	240	16	verify	verify	VERB
iajs-4152	240	17	the	the	DET
iajs-4152	240	18	analytical	analytical	ADJ
iajs-4152	240	19	findings	finding	NOUN
iajs-4152	240	20	.	.	PUNCT
iajs-4152	241	1	using	use	VERB
iajs-4152	241	2	the	the	DET
iajs-4152	241	3	hypothetical	hypothetical	ADJ
iajs-4152	241	4	data	datum	NOUN
iajs-4152	241	5	in	in	ADP
iajs-4152	241	6	(	(	PUNCT
iajs-4152	241	7	11	11	NUM
iajs-4152	241	8	)	)	PUNCT
iajs-4152	241	9	,	,	PUNCT
iajs-4152	241	10	which	which	PRON
iajs-4152	241	11	aligns	align	VERB
iajs-4152	241	12	with	with	ADP
iajs-4152	241	13	the	the	DET
iajs-4152	241	14	outcomes	outcome	NOUN
iajs-4152	241	15	of	of	ADP
iajs-4152	241	16	the	the	DET
iajs-4152	241	17	numerical	numerical	PROPN
iajs-4152	241	18	simulation	simulation	PROPN
iajs-4152	241	19	,	,	PUNCT
iajs-4152	241	20	we	we	PRON
iajs-4152	241	21	obtained	obtain	VERB
iajs-4152	241	22	the	the	DET
iajs-4152	241	23	following	follow	VERB
iajs-4152	241	24	results	result	NOUN
iajs-4152	241	25	:	:	PUNCT
iajs-4152	241	26	system	system	NOUN
iajs-4152	241	27	(	(	PUNCT
iajs-4152	241	28	1	1	X
iajs-4152	241	29	)	)	PUNCT
iajs-4152	241	30	has	have	VERB
iajs-4152	241	31	no	no	DET
iajs-4152	241	32	periodic	periodic	ADJ
iajs-4152	241	33	behavior	behavior	NOUN
iajs-4152	241	34	;	;	PUNCT
iajs-4152	241	35	rather	rather	ADV
iajs-4152	241	36	,	,	PUNCT
iajs-4152	241	37	the	the	DET
iajs-4152	241	38	solution	solution	NOUN
iajs-4152	241	39	converges	converge	VERB
iajs-4152	241	40	asymptotically	asymptotically	ADV
iajs-4152	241	41	to	to	ADP
iajs-4152	241	42	any	any	PRON
iajs-4152	241	43	of	of	ADP
iajs-4152	241	44	the	the	DET
iajs-4152	241	45	equilibrium	equilibrium	NOUN
iajs-4152	241	46	points	point	NOUN
iajs-4152	241	47	.	.	PUNCT
iajs-4152	242	1	by	by	ADP
iajs-4152	242	2	making	make	VERB
iajs-4152	242	3	immature	immature	ADJ
iajs-4152	242	4	prey	prey	NOUN
iajs-4152	242	5	more	more	ADV
iajs-4152	242	6	competitive	competitive	ADJ
iajs-4152	242	7	such	such	ADJ
iajs-4152	242	8	that	that	SCONJ
iajs-4152	242	9	a	a	DET
iajs-4152	242	10	value	value	NOUN
iajs-4152	242	11	greater	great	ADJ
iajs-4152	242	12	than	than	ADP
iajs-4152	242	13	0.06	0.06	NUM
iajs-4152	242	14	(	(	PUNCT
iajs-4152	242	15	)	)	PUNCT
iajs-4152	242	16	,	,	PUNCT
iajs-4152	242	17	the	the	DET
iajs-4152	242	18	iep	iep	PROPN
iajs-4152	242	19	becomes	becomes	AUX
iajs-4152	242	20	destabilized	destabilize	VERB
iajs-4152	242	21	,	,	PUNCT
iajs-4152	242	22	and	and	CCONJ
iajs-4152	242	23	system	system	NOUN
iajs-4152	242	24	(	(	PUNCT
iajs-4152	242	25	1	1	X
iajs-4152	242	26	)	)	PUNCT
iajs-4152	242	27	asymptotically	asymptotically	ADV
iajs-4152	242	28	approaches	approach	VERB
iajs-4152	242	29	the	the	DET
iajs-4152	242	30	equilibrium	equilibrium	NOUN
iajs-4152	242	31	point	point	NOUN
iajs-4152	242	32	fpdep	fpdep	NOUN
iajs-4152	242	33	.	.	PUNCT
iajs-4152	243	1	increasing	increase	VERB
iajs-4152	243	2	the	the	DET
iajs-4152	243	3	maturity	maturity	NOUN
iajs-4152	243	4	rate	rate	NOUN
iajs-4152	243	5	of	of	ADP
iajs-4152	243	6	prey	prey	NOUN
iajs-4152	243	7	to	to	ADP
iajs-4152	243	8	a	a	DET
iajs-4152	243	9	value	value	NOUN
iajs-4152	243	10	greater	great	ADJ
iajs-4152	243	11	than	than	ADP
iajs-4152	243	12	1.2	1.2	NUM
iajs-4152	243	13	(	(	PUNCT
iajs-4152	243	14	)	)	PUNCT
iajs-4152	243	15	destabilizes	destabilize	VERB
iajs-4152	243	16	the	the	DET
iajs-4152	243	17	iep	iep	PROPN
iajs-4152	243	18	,	,	PUNCT
iajs-4152	243	19	causing	cause	VERB
iajs-4152	243	20	system	system	NOUN
iajs-4152	243	21	(	(	PUNCT
iajs-4152	243	22	1	1	NUM
iajs-4152	243	23	)	)	PUNCT
iajs-4152	243	24	to	to	PART
iajs-4152	243	25	asymptotically	asymptotically	ADV
iajs-4152	243	26	approach	approach	VERB
iajs-4152	243	27	the	the	DET
iajs-4152	243	28	fixed	fix	VERB
iajs-4152	243	29	point	point	NOUN
iajs-4152	243	30	fpdep	fpdep	NOUN
iajs-4152	243	31	.	.	PUNCT
iajs-4152	244	1	increasing	increase	VERB
iajs-4152	244	2	the	the	DET
iajs-4152	244	3	destabilizes	destabilize	NOUN
iajs-4152	244	4	the	the	DET
iajs-4152	244	5	iep	iep	PROPN
iajs-4152	244	6	,	,	PUNCT
iajs-4152	244	7	and	and	CCONJ
iajs-4152	244	8	the	the	DET
iajs-4152	244	9	system	system	NOUN
iajs-4152	244	10	(	(	PUNCT
iajs-4152	244	11	1	1	X
iajs-4152	244	12	)	)	PUNCT
iajs-4152	244	13	approaches	approach	NOUN
iajs-4152	244	14	to	to	ADP
iajs-4152	244	15	fpdep	fpdep	NOUN
iajs-4152	244	16	asymptotically	asymptotically	ADV
iajs-4152	244	17	.	.	PUNCT
iajs-4152	245	1	as	as	SCONJ
iajs-4152	245	2	previously	previously	ADV
iajs-4152	245	3	explained	explain	VERB
iajs-4152	245	4	,	,	PUNCT
iajs-4152	245	5	system	system	NOUN
iajs-4152	245	6	(	(	PUNCT
iajs-4152	245	7	1	1	X
iajs-4152	245	8	)	)	PUNCT
iajs-4152	245	9	demonstrates	demonstrate	VERB
iajs-4152	245	10	notable	notable	ADJ
iajs-4152	245	11	sensitivity	sensitivity	NOUN
iajs-4152	245	12	to	to	ADP
iajs-4152	245	13	changes	change	NOUN
iajs-4152	245	14	in	in	ADP
iajs-4152	245	15	specific	specific	ADJ
iajs-4152	245	16	parameters	parameter	NOUN
iajs-4152	245	17	,	,	PUNCT
iajs-4152	245	18	making	make	VERB
iajs-4152	245	19	it	it	PRON
iajs-4152	245	20	highly	highly	ADV
iajs-4152	245	21	controllable	controllable	ADJ
iajs-4152	245	22	.	.	PUNCT
iajs-4152	246	1	acknowledgements	acknowledgement	NOUN
iajs-4152	246	2	we	we	PRON
iajs-4152	246	3	would	would	AUX
iajs-4152	246	4	like	like	VERB
iajs-4152	246	5	to	to	PART
iajs-4152	246	6	express	express	VERB
iajs-4152	246	7	our	our	PRON
iajs-4152	246	8	gratitude	gratitude	NOUN
iajs-4152	246	9	other	other	ADJ
iajs-4152	246	10	referees	referee	NOUN
iajs-4152	246	11	for	for	ADP
iajs-4152	246	12	their	their	PRON
iajs-4152	246	13	valuable	valuable	ADJ
iajs-4152	246	14	comments	comment	NOUN
iajs-4152	246	15	and	and	CCONJ
iajs-4152	246	16	suggestions	suggestion	NOUN
iajs-4152	246	17	that	that	PRON
iajs-4152	246	18	led	lead	VERB
iajs-4152	246	19	to	to	ADP
iajs-4152	246	20	a	a	DET
iajs-4152	246	21	truly	truly	ADV
iajs-4152	246	22	significant	significant	ADJ
iajs-4152	246	23	improvement	improvement	NOUN
iajs-4152	246	24	of	of	ADP
iajs-4152	246	25	the	the	DET
iajs-4152	246	26	paper	paper	NOUN
iajs-4152	246	27	.	.	PUNCT
iajs-4152	247	1	conflict	conflict	NOUN
iajs-4152	247	2	of	of	ADP
iajs-4152	247	3	interest	interest	NOUN
iajs-4152	247	4	the	the	DET
iajs-4152	247	5	authors	author	NOUN
iajs-4152	247	6	declare	declare	VERB
iajs-4152	247	7	that	that	SCONJ
iajs-4152	247	8	there	there	PRON
iajs-4152	247	9	are	be	VERB
iajs-4152	247	10	no	no	DET
iajs-4152	247	11	competing	compete	VERB
iajs-4152	247	12	interests	interest	NOUN
iajs-4152	247	13	regarding	regard	VERB
iajs-4152	247	14	the	the	DET
iajs-4152	247	15	publication	publication	NOUN
iajs-4152	247	16	of	of	ADP
iajs-4152	247	17	this	this	DET
iajs-4152	247	18	paper	paper	NOUN
iajs-4152	247	19	.	.	PUNCT
iajs-4152	248	1	funding	fund	VERB
iajs-4152	248	2	this	this	DET
iajs-4152	248	3	work	work	NOUN
iajs-4152	248	4	is	be	AUX
iajs-4152	248	5	not	not	PART
iajs-4152	248	6	supported	support	VERB
iajs-4152	248	7	by	by	ADP
iajs-4152	248	8	any	any	DET
iajs-4152	248	9	the	the	DET
iajs-4152	248	10	foundation	foundation	NOUN
iajs-4152	248	11	.	.	PUNCT
iajs-4152	249	1	reference	reference	NOUN
iajs-4152	249	2	1	1	NUM
iajs-4152	249	3	.	.	PUNCT
iajs-4152	250	1	chauhan	chauhan	PROPN
iajs-4152	250	2	s	s	PROPN
iajs-4152	250	3	,	,	PUNCT
iajs-4152	250	4	bhatia	bhatia	PROPN
iajs-4152	250	5	sk	sk	PROPN
iajs-4152	250	6	,	,	PUNCT
iajs-4152	250	7	sharma	sharma	PROPN
iajs-4152	250	8	s.	s.	PROPN
iajs-4152	250	9	harvesting	harvesting	NOUN
iajs-4152	250	10	of	of	ADP
iajs-4152	250	11	stage	stage	NOUN
iajs-4152	250	12	structured	structure	VERB
iajs-4152	250	13	fishery	fishery	NOUN
iajs-4152	250	14	model	model	NOUN
iajs-4152	250	15	in	in	ADP
iajs-4152	250	16	the	the	DET
iajs-4152	250	17	presence	presence	NOUN
iajs-4152	250	18	of	of	ADP
iajs-4152	250	19	toxicity	toxicity	NOUN
iajs-4152	250	20	.	.	PUNCT
iajs-4152	251	1	electronic	electronic	ADJ
iajs-4152	251	2	journal	journal	NOUN
iajs-4152	251	3	of	of	ADP
iajs-4152	251	4	mathematical	mathematical	ADJ
iajs-4152	251	5	analysis	analysis	NOUN
iajs-4152	251	6	and	and	CCONJ
iajs-4152	251	7	applications	application	NOUN
iajs-4152	251	8	.	.	PUNCT
iajs-4152	252	1	2018;6(1):65–78	2018;6(1):65–78	NUM
iajs-4152	252	2	.	.	PUNCT
iajs-4152	253	1	https://doi.org/10.21608/ejmaa.2018.312512	https://doi.org/10.21608/ejmaa.2018.312512	PROPN
iajs-4152	253	2	.	.	PROPN
iajs-4152	253	3	2	2	NUM
iajs-4152	253	4	.	.	X
iajs-4152	253	5	bhattacharjee	bhattacharjee	PROPN
iajs-4152	253	6	d	d	PROPN
iajs-4152	253	7	,	,	PUNCT
iajs-4152	253	8	ray	ray	PROPN
iajs-4152	253	9	n	n	CCONJ
iajs-4152	253	10	,	,	PUNCT
iajs-4152	253	11	das	das	PROPN
iajs-4152	253	12	d	d	PROPN
iajs-4152	253	13	,	,	PUNCT
iajs-4152	253	14	sarmah	sarmah	PROPN
iajs-4152	253	15	hk	hk	PROPN
iajs-4152	253	16	.	.	PUNCT
iajs-4152	254	1	a	a	DET
iajs-4152	254	2	discrete	discrete	ADJ
iajs-4152	254	3	-	-	PUNCT
iajs-4152	254	4	time	time	NOUN
iajs-4152	254	5	dynamical	dynamical	ADJ
iajs-4152	254	6	model	model	NOUN
iajs-4152	254	7	of	of	ADP
iajs-4152	254	8	prey	prey	NOUN
iajs-4152	254	9	and	and	CCONJ
iajs-4152	254	10	stage	stage	NOUN
iajs-4152	254	11	-	-	PUNCT
iajs-4152	254	12	structured	structure	VERB
iajs-4152	254	13	predator	predator	NOUN
iajs-4152	254	14	with	with	ADP
iajs-4152	254	15	juvenile	juvenile	ADJ
iajs-4152	254	16	hunting	hunting	NOUN
iajs-4152	254	17	incorporating	incorporate	VERB
iajs-4152	254	18	negative	negative	ADJ
iajs-4152	254	19	effects	effect	NOUN
iajs-4152	254	20	of	of	ADP
iajs-4152	254	21	prey	prey	PROPN
iajs-4152	254	22	refuge	refuge	PROPN
iajs-4152	254	23	.	.	PUNCT
iajs-4152	255	1	partial	partial	ADJ
iajs-4152	255	2	differ	differ	VERB
iajs-4152	255	3	equations	equation	NOUN
iajs-4152	255	4	appl	appl	PROPN
iajs-4152	255	5	math	math	PROPN
iajs-4152	255	6	.	.	PUNCT
iajs-4152	256	1	2024;10:100710	2024;10:100710	NUM
iajs-4152	256	2	.	.	PUNCT
iajs-4152	257	1	https://doi.org/10.1016/j.padiff.2024.100710	https://doi.org/10.1016/j.padiff.2024.100710	ADJ
iajs-4152	257	2	.	.	PUNCT
iajs-4152	258	1	3	3	X
iajs-4152	258	2	.	.	X
iajs-4152	258	3	mortoja	mortoja	PROPN
iajs-4152	258	4	sg	sg	PROPN
iajs-4152	258	5	,	,	PUNCT
iajs-4152	258	6	panja	panja	PROPN
iajs-4152	258	7	p	p	X
iajs-4152	258	8	,	,	PUNCT
iajs-4152	258	9	mondal	mondal	PROPN
iajs-4152	258	10	sk	sk	PROPN
iajs-4152	258	11	.	.	PROPN
iajs-4152	258	12	dynamics	dynamic	NOUN
iajs-4152	258	13	of	of	ADP
iajs-4152	258	14	a	a	DET
iajs-4152	258	15	predator	predator	NOUN
iajs-4152	258	16	-	-	PUNCT
iajs-4152	258	17	prey	prey	NOUN
iajs-4152	258	18	model	model	NOUN
iajs-4152	258	19	with	with	ADP
iajs-4152	258	20	stage	stage	NOUN
iajs-4152	258	21	-	-	PUNCT
iajs-4152	258	22	structure	structure	NOUN
iajs-4152	258	23	on	on	ADP
iajs-4152	258	24	both	both	DET
iajs-4152	258	25	species	specie	NOUN
iajs-4152	258	26	and	and	CCONJ
iajs-4152	258	27	anti	anti	ADJ
iajs-4152	258	28	-	-	ADJ
iajs-4152	258	29	predator	predator	ADJ
iajs-4152	258	30	behavior	behavior	NOUN
iajs-4152	258	31	.	.	PUNCT
iajs-4152	259	1	informatics	informatics	PROPN
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iajs-4152	259	5	.	.	PUNCT
iajs-4152	260	1	https://doi.org/10.1016/j.imu.2017.12.004	https://doi.org/10.1016/j.imu.2017.12.004	PROPN
iajs-4152	260	2	.	.	PUNCT
iajs-4152	261	1	4	4	X
iajs-4152	261	2	.	.	X
iajs-4152	261	3	pang	pang	PROPN
iajs-4152	261	4	q	q	X
iajs-4152	261	5	,	,	PUNCT
iajs-4152	261	6	gao	gao	PROPN
iajs-4152	261	7	y.	y.	PROPN
iajs-4152	261	8	stability	stability	PROPN
iajs-4152	261	9	analysis	analysis	NOUN
iajs-4152	261	10	of	of	ADP
iajs-4152	261	11	a	a	DET
iajs-4152	261	12	predator	predator	NOUN
iajs-4152	261	13	-	-	PUNCT
iajs-4152	261	14	prey	prey	NOUN
iajs-4152	261	15	model	model	NOUN
iajs-4152	261	16	with	with	ADP
iajs-4152	261	17	stage	stage	NOUN
iajs-4152	261	18	structure	structure	NOUN
iajs-4152	261	19	.	.	PUNCT
iajs-4152	262	1	j	j	PROPN
iajs-4152	262	2	phys	phys	PROPN
iajs-4152	262	3	conf	conf	NOUN
iajs-4152	262	4	ser	ser	NOUN
iajs-4152	262	5	.	.	PUNCT
iajs-4152	263	1	2022;2294(1).https://doi.org/10.1088/1742	2022;2294(1).https://doi.org/10.1088/1742	NUM
iajs-4152	263	2	-	-	PUNCT
iajs-4152	263	3	6596/2294/1/012026	6596/2294/1/012026	PROPN
iajs-4152	263	4	.	.	PUNCT
iajs-4152	264	1	5	5	X
iajs-4152	264	2	.	.	X
iajs-4152	264	3	nasra	nasra	PROPN
iajs-4152	264	4	nd	nd	PROPN
iajs-4152	264	5	,	,	PUNCT
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iajs-4152	264	7	ar	ar	PROPN
iajs-4152	264	8	,	,	PUNCT
iajs-4152	264	9	syafwan	syafwan	PROPN
iajs-4152	264	10	m.	m.	NOUN
iajs-4152	264	11	stability	stability	NOUN
iajs-4152	264	12	analysis	analysis	NOUN
iajs-4152	264	13	and	and	CCONJ
iajs-4152	264	14	numerical	numerical	PROPN
iajs-4152	264	15	simulation	simulation	NOUN
iajs-4152	264	16	of	of	ADP
iajs-4152	264	17	prey	prey	NOUN
iajs-4152	264	18	-	-	PUNCT
iajs-4152	264	19	predator	predator	NOUN
iajs-4152	264	20	system	system	NOUN
iajs-4152	264	21	with	with	ADP
iajs-4152	264	22	age	age	NOUN
iajs-4152	264	23	structure	structure	NOUN
iajs-4152	264	24	.	.	PUNCT
iajs-4152	265	1	int	int	NOUN
iajs-4152	265	2	j	j	PROPN
iajs-4152	265	3	progr	progr	VERB
iajs-4152	265	4	sci	sci	PROPN
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iajs-4152	265	6	.	.	PUNCT
iajs-4152	266	1	2022;32(1):105–11	2022;32(1):105–11	X
iajs-4152	266	2	.	.	PUNCT
iajs-4152	267	1	http://dx.doi.org/10.52155/ijpsat.v32.1.4202	http://dx.doi.org/10.52155/ijpsat.v32.1.4202	PROPN
iajs-4152	267	2	.	.	PUNCT
iajs-4152	268	1	6	6	NUM
iajs-4152	268	2	.	.	X
iajs-4152	268	3	bahlool	bahlool	PROPN
iajs-4152	268	4	dk	dk	PROPN
iajs-4152	268	5	.	.	PUNCT
iajs-4152	269	1	the	the	DET
iajs-4152	269	2	dynamics	dynamic	NOUN
iajs-4152	269	3	of	of	ADP
iajs-4152	269	4	a	a	DET
iajs-4152	269	5	stage	stage	NOUN
iajs-4152	269	6	-	-	PUNCT
iajs-4152	269	7	structure	structure	NOUN
iajs-4152	269	8	prey	prey	NOUN
iajs-4152	269	9	-	-	PUNCT
iajs-4152	269	10	predator	predator	NOUN
iajs-4152	269	11	model	model	NOUN
iajs-4152	269	12	with	with	ADP
iajs-4152	269	13	hunting	hunt	VERB
iajs-4152	269	14	cooperation	cooperation	NOUN
iajs-4152	269	15	and	and	CCONJ
iajs-4152	269	16	anti	anti	ADJ
iajs-4152	269	17	-	-	ADJ
iajs-4152	269	18	predator	predator	ADJ
iajs-4152	269	19	behavior	behavior	NOUN
iajs-4152	269	20	.	.	PUNCT
iajs-4152	270	1	commun	commun	PROPN
iajs-4152	270	2	math	math	PROPN
iajs-4152	270	3	biol	biol	PROPN
iajs-4152	270	4	neurosci	neurosci	PROPN
iajs-4152	270	5	.	.	PUNCT
iajs-4152	271	1	2023;2023:1–23	2023;2023:1–23	PROPN
iajs-4152	271	2	.	.	PUNCT
iajs-4152	272	1	https://doi.org/10.28919/cmbn/8003	https://doi.org/10.28919/cmbn/8003	PROPN
iajs-4152	272	2	.	.	PUNCT
iajs-4152	273	1	7	7	X
iajs-4152	273	2	.	.	X
iajs-4152	273	3	palani	palani	PROPN
iajs-4152	273	4	v	v	PROPN
iajs-4152	273	5	,	,	PUNCT
iajs-4152	273	6	krishnan	krishnan	PROPN
iajs-4152	273	7	k.	k.	PROPN
iajs-4152	274	1	a	a	DET
iajs-4152	274	2	stage	stage	NOUN
iajs-4152	274	3	structure	structure	NOUN
iajs-4152	274	4	prey	prey	NOUN
iajs-4152	274	5	predator	predator	NOUN
iajs-4152	274	6	model	model	NOUN
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iajs-4152	274	9	fuzzy	fuzzy	ADJ
iajs-4152	274	10	numbers	number	NOUN
iajs-4152	274	11	and	and	CCONJ
iajs-4152	274	12	functional	functional	ADJ
iajs-4152	274	13	response	response	NOUN
iajs-4152	274	14	.	.	PUNCT
iajs-4152	275	1	baghdad	baghdad	PROPN
iajs-4152	275	2	sci	sci	PROPN
iajs-4152	275	3	j.	j.	PROPN
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iajs-4152	275	5	;	;	PUNCT
iajs-4152	275	6	21:3234–47	21:3234–47	NUM
iajs-4152	275	7	.	.	PUNCT
iajs-4152	276	1	https://doi.org/10.21608/ejmaa.2018.312512	https://doi.org/10.21608/ejmaa.2018.312512	PROPN
iajs-4152	276	2	.	.	PUNCT
iajs-4152	277	1	https://doi.org/10.1016/j.padiff.2024.100710	https://doi.org/10.1016/j.padiff.2024.100710	ADJ
iajs-4152	277	2	https://doi.org/10.1016/j.imu.2017.12.004	https://doi.org/10.1016/j.imu.2017.12.004	PROPN
iajs-4152	277	3	https://doi.org/10.1088/1742-6596/2294/1/012026	https://doi.org/10.1088/1742-6596/2294/1/012026	PROPN
iajs-4152	277	4	http://dx.doi.org/10.52155/ijpsat.v32.1.4202	http://dx.doi.org/10.52155/ijpsat.v32.1.4202	PROPN
iajs-4152	277	5	https://doi.org/10.28919/cmbn/8003	https://doi.org/10.28919/cmbn/8003	PROPN
iajs-4152	277	6	ihjpas	ihjpas	PROPN
iajs-4152	277	7	.	.	PUNCT
iajs-4152	278	1	2025,38(4	2025,38(4	X
iajs-4152	278	2	)	)	PUNCT
iajs-4152	278	3	422	422	NUM
iajs-4152	278	4	https://doi.org/10.21123/bsj.2024.9945	https://doi.org/10.21123/bsj.2024.9945	NOUN
iajs-4152	278	5	.	.	PUNCT
iajs-4152	279	1	8	8	X
iajs-4152	279	2	.	.	X
iajs-4152	280	1	ibrahim	ibrahim	PROPN
iajs-4152	280	2	ha	ha	INTJ
iajs-4152	280	3	,	,	PUNCT
iajs-4152	280	4	naji	naji	PROPN
iajs-4152	280	5	rk	rk	PROPN
iajs-4152	280	6	.	.	PUNCT
iajs-4152	281	1	the	the	DET
iajs-4152	281	2	complex	complex	ADJ
iajs-4152	281	3	dynamic	dynamic	NOUN
iajs-4152	281	4	in	in	ADP
iajs-4152	281	5	three	three	NUM
iajs-4152	281	6	species	specie	NOUN
iajs-4152	281	7	food	food	NOUN
iajs-4152	281	8	webmodel	webmodel	NOUN
iajs-4152	281	9	involving	involve	VERB
iajs-4152	281	10	stage	stage	NOUN
iajs-4152	281	11	structure	structure	NOUN
iajs-4152	281	12	and	and	CCONJ
iajs-4152	281	13	cannibalism	cannibalism	NOUN
iajs-4152	281	14	.	.	PUNCT
iajs-4152	282	1	aip	aip	PROPN
iajs-4152	282	2	conf	conf	PROPN
iajs-4152	282	3	proc	proc	PROPN
iajs-4152	282	4	.	.	PUNCT
iajs-4152	283	1	2020	2020	NUM
iajs-4152	283	2	;	;	PUNCT
iajs-4152	283	3	2292	2292	NUM
iajs-4152	283	4	.	.	PUNCT
iajs-4152	284	1	https://doi.org/10.1063/5.0030510	https://doi.org/10.1063/5.0030510	PROPN
iajs-4152	284	2	.	.	PROPN
iajs-4152	284	3	9	9	X
iajs-4152	284	4	.	.	X
iajs-4152	284	5	dubey	dubey	PROPN
iajs-4152	284	6	b	b	PROPN
iajs-4152	284	7	,	,	PUNCT
iajs-4152	284	8	kumar	kumar	PROPN
iajs-4152	284	9	a.	a.	NOUN
iajs-4152	284	10	dynamics	dynamic	NOUN
iajs-4152	284	11	of	of	ADP
iajs-4152	284	12	prey	prey	NOUN
iajs-4152	284	13	–	–	PUNCT
iajs-4152	284	14	predator	predator	NOUN
iajs-4152	284	15	model	model	NOUN
iajs-4152	284	16	with	with	ADP
iajs-4152	284	17	stage	stage	NOUN
iajs-4152	284	18	structure	structure	NOUN
iajs-4152	284	19	in	in	ADP
iajs-4152	284	20	prey	prey	NOUN
iajs-4152	284	21	including	include	VERB
iajs-4152	284	22	maturation	maturation	NOUN
iajs-4152	284	23	and	and	CCONJ
iajs-4152	284	24	gestation	gestation	NOUN
iajs-4152	284	25	delays	delay	NOUN
iajs-4152	284	26	.	.	PUNCT
iajs-4152	285	1	nonlinear	nonlinear	PROPN
iajs-4152	285	2	dyn.2019	dyn.2019	PROPN
iajs-4152	285	3	;	;	PUNCT
iajs-4152	285	4	96(4	96(4	NUM
iajs-4152	285	5	)	)	PUNCT
iajs-4152	285	6	,	,	PUNCT
iajs-4152	285	7	2653–2679	2653–2679	NUM
iajs-4152	285	8	.	.	PUNCT
iajs-4152	286	1	https://doi.org/10.1007/s11071-019-04951-5	https://doi.org/10.1007/s11071-019-04951-5	NUM
iajs-4152	286	2	.	.	PUNCT
iajs-4152	287	1	10	10	NUM
iajs-4152	287	2	.	.	PUNCT
iajs-4152	288	1	ahmed	ahmed	PROPN
iajs-4152	288	2	ls	ls	PROPN
iajs-4152	288	3	,	,	PUNCT
iajs-4152	288	4	al	al	PROPN
iajs-4152	288	5	-	-	PUNCT
iajs-4152	288	6	husseiny	husseiny	PROPN
iajs-4152	288	7	hf	hf	PROPN
iajs-4152	288	8	.	.	PUNCT
iajs-4152	289	1	dynamical	dynamical	ADJ
iajs-4152	289	2	behavior	behavior	NOUN
iajs-4152	289	3	of	of	ADP
iajs-4152	289	4	an	an	DET
iajs-4152	289	5	eco	eco	NOUN
iajs-4152	289	6	-	-	PUNCT
iajs-4152	289	7	epidemiological	epidemiological	ADJ
iajs-4152	289	8	model	model	NOUN
iajs-4152	289	9	involving	involve	VERB
iajs-4152	289	10	disease	disease	NOUN
iajs-4152	289	11	in	in	ADP
iajs-4152	289	12	predator	predator	NOUN
iajs-4152	289	13	and	and	CCONJ
iajs-4152	289	14	stage	stage	NOUN
iajs-4152	289	15	structure	structure	NOUN
iajs-4152	289	16	in	in	ADP
iajs-4152	289	17	prey	prey	PROPN
iajs-4152	289	18	.	.	PUNCT
iajs-4152	290	1	iraqi	iraqi	PROPN
iajs-4152	290	2	j	j	PROPN
iajs-4152	290	3	sci	sci	PROPN
iajs-4152	290	4	.	.	PROPN
iajs-4152	290	5	2019	2019	NUM
iajs-4152	290	6	;	;	PUNCT
iajs-4152	290	7	60(8):1766–82	60(8):1766–82	X
iajs-4152	290	8	.	.	PUNCT
iajs-4152	291	1	https://doi.org/10.24996/ijs.2019.60.8.14	https://doi.org/10.24996/ijs.2019.60.8.14	PROPN
iajs-4152	291	2	.	.	PROPN
iajs-4152	292	1	11	11	NUM
iajs-4152	292	2	.	.	PUNCT
iajs-4152	293	1	shi	shi	PROPN
iajs-4152	293	2	w	w	PROPN
iajs-4152	293	3	,	,	PUNCT
iajs-4152	293	4	huang	huang	PROPN
iajs-4152	293	5	y	y	PROPN
iajs-4152	293	6	,	,	PUNCT
iajs-4152	293	7	wei	wei	PROPN
iajs-4152	293	8	c	c	PROPN
iajs-4152	293	9	,	,	PUNCT
iajs-4152	293	10	zhang	zhang	PROPN
iajs-4152	293	11	s.	s.	PROPN
iajs-4152	293	12	a	a	DET
iajs-4152	293	13	stochastic	stochastic	ADJ
iajs-4152	293	14	holling	holling	NOUN
iajs-4152	293	15	-	-	PUNCT
iajs-4152	293	16	type	type	NOUN
iajs-4152	293	17	ii	ii	NOUN
iajs-4152	293	18	predator	predator	NOUN
iajs-4152	293	19	-	-	PUNCT
iajs-4152	293	20	prey	prey	NOUN
iajs-4152	293	21	model	model	NOUN
iajs-4152	293	22	with	with	ADP
iajs-4152	293	23	stage	stage	NOUN
iajs-4152	293	24	structure	structure	NOUN
iajs-4152	293	25	and	and	CCONJ
iajs-4152	293	26	refuge	refuge	NOUN
iajs-4152	293	27	for	for	ADP
iajs-4152	293	28	prey	prey	NOUN
iajs-4152	293	29	.	.	PUNCT
iajs-4152	294	1	adv	adv	PROPN
iajs-4152	294	2	math	math	PROPN
iajs-4152	294	3	phys	phys	PROPN
iajs-4152	294	4	.	.	PUNCT
iajs-4152	295	1	2021;2021.https://doi.org/10.1155/2021/9479012	2021;2021.https://doi.org/10.1155/2021/9479012	NUM
iajs-4152	295	2	.	.	PUNCT
iajs-4152	296	1	12	12	NUM
iajs-4152	296	2	.	.	PUNCT
iajs-4152	297	1	lu	lu	PROPN
iajs-4152	297	2	w	w	PROPN
iajs-4152	297	3	,	,	PUNCT
iajs-4152	297	4	xia	xia	PROPN
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iajs-4152	297	9	a	a	DET
iajs-4152	297	10	stage	stage	NOUN
iajs-4152	297	11	-	-	PUNCT
iajs-4152	297	12	structured	structure	VERB
iajs-4152	297	13	predator	predator	NOUN
iajs-4152	297	14	-	-	PUNCT
iajs-4152	297	15	prey	prey	NOUN
iajs-4152	297	16	model	model	NOUN
iajs-4152	297	17	with	with	ADP
iajs-4152	297	18	crowley	crowley	PROPN
iajs-4152	297	19	-	-	PUNCT
iajs-4152	297	20	martin	martin	PROPN
iajs-4152	297	21	type	type	NOUN
iajs-4152	297	22	functional	functional	ADJ
iajs-4152	297	23	response	response	NOUN
iajs-4152	297	24	.	.	PUNCT
iajs-4152	298	1	aims	aim	VERB
iajs-4152	298	2	math	math	NOUN
iajs-4152	298	3	.	.	PUNCT
iajs-4152	299	1	2022;7(5):8162–75	2022;7(5):8162–75	NUM
iajs-4152	299	2	.	.	PUNCT
iajs-4152	300	1	https://doi.org/10.3934/math.2024208	https://doi.org/10.3934/math.2024208	NOUN
iajs-4152	300	2	.	.	PUNCT
iajs-4152	301	1	13	13	NUM
iajs-4152	301	2	.	.	PUNCT
iajs-4152	302	1	chen	chen	PROPN
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iajs-4152	302	4	chen	chen	PROPN
iajs-4152	302	5	j.	j.	PROPN
iajs-4152	302	6	complex	complex	PROPN
iajs-4152	302	7	dynamic	dynamic	ADJ
iajs-4152	302	8	behaviors	behavior	NOUN
iajs-4152	302	9	of	of	ADP
iajs-4152	302	10	a	a	DET
iajs-4152	302	11	discrete	discrete	ADJ
iajs-4152	302	12	predator	predator	NOUN
iajs-4152	302	13	-	-	PUNCT
iajs-4152	302	14	prey	prey	NOUN
iajs-4152	302	15	model	model	NOUN
iajs-4152	302	16	with	with	ADP
iajs-4152	302	17	stage	stage	NOUN
iajs-4152	302	18	structure	structure	NOUN
iajs-4152	302	19	and	and	CCONJ
iajs-4152	302	20	harvesting	harvesting	NOUN
iajs-4152	302	21	.	.	PUNCT
iajs-4152	303	1	int	int	PROPN
iajs-4152	303	2	j	j	PROPN
iajs-4152	303	3	biomath	biomath	NOUN
iajs-4152	303	4	.	.	PUNCT
iajs-4152	304	1	2017;10(1	2017;10(1	NUM
iajs-4152	304	2	)	)	PUNCT
iajs-4152	304	3	.	.	PUNCT
iajs-4152	305	1	https://doi.org/10.1142/s1793524517500139	https://doi.org/10.1142/s1793524517500139	ADJ
iajs-4152	305	2	.	.	PUNCT
iajs-4152	306	1	14	14	NUM
iajs-4152	306	2	.	.	PUNCT
iajs-4152	307	1	pandey	pandey	PROPN
iajs-4152	307	2	s	s	PROPN
iajs-4152	307	3	,	,	PUNCT
iajs-4152	307	4	ghosh	ghosh	PROPN
iajs-4152	307	5	u	u	PROPN
iajs-4152	307	6	,	,	PUNCT
iajs-4152	307	7	das	das	PROPN
iajs-4152	307	8	d	d	PROPN
iajs-4152	307	9	,	,	PUNCT
iajs-4152	307	10	chakraborty	chakraborty	PROPN
iajs-4152	307	11	s	s	PROPN
iajs-4152	307	12	,	,	PUNCT
iajs-4152	307	13	sarkar	sarkar	PROPN
iajs-4152	307	14	a.	a.	PROPN
iajs-4152	307	15	rich	rich	ADJ
iajs-4152	307	16	dynamics	dynamic	NOUN
iajs-4152	307	17	of	of	ADP
iajs-4152	307	18	a	a	DET
iajs-4152	307	19	delay	delay	NOUN
iajs-4152	307	20	-	-	PUNCT
iajs-4152	307	21	induced	induce	VERB
iajs-4152	307	22	stage	stage	NOUN
iajs-4152	307	23	structure	structure	NOUN
iajs-4152	307	24	prey	prey	NOUN
iajs-4152	307	25	–	–	PUNCT
iajs-4152	307	26	predator	predator	NOUN
iajs-4152	307	27	model	model	NOUN
iajs-4152	307	28	with	with	ADP
iajs-4152	307	29	cooperative	cooperative	ADJ
iajs-4152	307	30	behaviour	behaviour	NOUN
iajs-4152	307	31	in	in	ADP
iajs-4152	307	32	both	both	DET
iajs-4152	307	33	species	specie	NOUN
iajs-4152	307	34	and	and	CCONJ
iajs-4152	307	35	the	the	DET
iajs-4152	307	36	impact	impact	NOUN
iajs-4152	307	37	of	of	ADP
iajs-4152	307	38	prey	prey	PROPN
iajs-4152	307	39	refuge	refuge	PROPN
iajs-4152	307	40	.	.	PUNCT
iajs-4152	308	1	math	math	PROPN
iajs-4152	308	2	comput	comput	PROPN
iajs-4152	308	3	simul	simul	PROPN
iajs-4152	308	4	.	.	PUNCT
iajs-4152	309	1	2024;216:49–76	2024;216:49–76	NUM
iajs-4152	309	2	.	.	PUNCT
iajs-4152	310	1	https://doi.org/10.1016/j.matcom.2023.09.002	https://doi.org/10.1016/j.matcom.2023.09.002	PROPN
iajs-4152	310	2	.	.	PROPN
iajs-4152	310	3	15	15	NUM
iajs-4152	310	4	.	.	PUNCT
iajs-4152	311	1	didiharyono	didiharyono	PROPN
iajs-4152	311	2	d	d	NOUN
iajs-4152	311	3	,	,	PUNCT
iajs-4152	311	4	toaha	toaha	NOUN
iajs-4152	311	5	s	s	PROPN
iajs-4152	311	6	,	,	PUNCT
iajs-4152	311	7	kusuma	kusuma	PROPN
iajs-4152	311	8	j	j	PROPN
iajs-4152	311	9	,	,	PUNCT
iajs-4152	311	10	kasbawati	kasbawati	PROPN
iajs-4152	311	11	.	.	PUNCT
iajs-4152	312	1	global	global	ADJ
iajs-4152	312	2	stability	stability	NOUN
iajs-4152	312	3	of	of	ADP
iajs-4152	312	4	prey	prey	NOUN
iajs-4152	312	5	-	-	PUNCT
iajs-4152	312	6	predator	predator	NOUN
iajs-4152	312	7	model	model	NOUN
iajs-4152	312	8	with	with	ADP
iajs-4152	312	9	crowleymartin	crowleymartin	PROPN
iajs-4152	312	10	type	type	NOUN
iajs-4152	312	11	functional	functional	ADJ
iajs-4152	312	12	response	response	NOUN
iajs-4152	312	13	and	and	CCONJ
iajs-4152	312	14	stage	stage	NOUN
iajs-4152	312	15	structure	structure	NOUN
iajs-4152	312	16	for	for	ADP
iajs-4152	312	17	predator	predator	NOUN
iajs-4152	312	18	.	.	PUNCT
iajs-4152	313	1	proc	proc	NOUN
iajs-4152	313	2	int	int	PROPN
iajs-4152	313	3	conf	conf	PROPN
iajs-4152	313	4	ind	ind	PROPN
iajs-4152	313	5	eng	eng	PROPN
iajs-4152	313	6	oper	oper	PROPN
iajs-4152	313	7	manag	manag	PROPN
iajs-4152	313	8	.	.	PUNCT
iajs-4152	314	1	2021;714–24	2021;714–24	X
iajs-4152	314	2	.	.	PUNCT
iajs-4152	315	1	http://dx.doi.org/10.31219/osf.io/wv9gf	http://dx.doi.org/10.31219/osf.io/wv9gf	PROPN
iajs-4152	315	2	.	.	PUNCT
iajs-4152	316	1	16	16	NUM
iajs-4152	316	2	.	.	PUNCT
iajs-4152	317	1	tripathi	tripathi	PROPN
iajs-4152	317	2	jp	jp	PROPN
iajs-4152	317	3	,	,	PUNCT
iajs-4152	317	4	jana	jana	PROPN
iajs-4152	317	5	d	d	PROPN
iajs-4152	317	6	,	,	PUNCT
iajs-4152	317	7	tiwari	tiwari	PROPN
iajs-4152	317	8	v.	v.	ADP
iajs-4152	317	9	a	a	DET
iajs-4152	317	10	beddington	beddington	PROPN
iajs-4152	317	11	–	–	PUNCT
iajs-4152	317	12	deangelis	deangelis	PROPN
iajs-4152	317	13	type	type	VERB
iajs-4152	317	14	one	one	NUM
iajs-4152	317	15	-	-	PUNCT
iajs-4152	317	16	predator	predator	NOUN
iajs-4152	317	17	two	two	NUM
iajs-4152	317	18	-	-	PUNCT
iajs-4152	317	19	prey	prey	NOUN
iajs-4152	317	20	competitive	competitive	ADJ
iajs-4152	317	21	system	system	NOUN
iajs-4152	317	22	with	with	ADP
iajs-4152	317	23	help	help	NOUN
iajs-4152	317	24	.	.	PUNCT
iajs-4152	318	1	nonlinear	nonlinear	ADJ
iajs-4152	318	2	dyn	dyn	PROPN
iajs-4152	318	3	.	.	PUNCT
iajs-4152	319	1	2018;94(1):553–73.https://doi.org/10.1007	2018;94(1):553–73.https://doi.org/10.1007	PROPN
iajs-4152	319	2	/	/	SYM
iajs-4152	319	3	s11071	s11071	PROPN
iajs-4152	319	4	-	-	PUNCT
iajs-4152	319	5	018	018	NUM
iajs-4152	319	6	-	-	PUNCT
iajs-4152	319	7	4377	4377	NUM
iajs-4152	319	8	-	-	SYM
iajs-4152	319	9	9	9	NUM
iajs-4152	319	10	.	.	NOUN
iajs-4152	319	11	17	17	NUM
iajs-4152	319	12	.	.	PUNCT
iajs-4152	320	1	slimani	slimani	PROPN
iajs-4152	320	2	s	s	PART
iajs-4152	320	3	,	,	PUNCT
iajs-4152	320	4	de	de	PROPN
iajs-4152	320	5	fitte	fitte	PROPN
iajs-4152	320	6	pr	pr	PROPN
iajs-4152	320	7	,	,	PUNCT
iajs-4152	320	8	boussaada	boussaada	PROPN
iajs-4152	320	9	i.	i.	PROPN
iajs-4152	320	10	dynamics	dynamic	NOUN
iajs-4152	320	11	of	of	ADP
iajs-4152	320	12	a	a	DET
iajs-4152	320	13	prey	prey	NOUN
iajs-4152	320	14	-	-	PUNCT
iajs-4152	320	15	predator	predator	NOUN
iajs-4152	320	16	system	system	NOUN
iajs-4152	320	17	with	with	ADP
iajs-4152	320	18	modified	modify	VERB
iajs-4152	320	19	lesliegower	lesliegower	NOUN
iajs-4152	320	20	and	and	CCONJ
iajs-4152	320	21	holling	holle	VERB
iajs-4152	320	22	type	type	NOUN
iajs-4152	320	23	ii	ii	PROPN
iajs-4152	320	24	schemes	scheme	NOUN
iajs-4152	320	25	incorporating	incorporate	VERB
iajs-4152	320	26	a	a	DET
iajs-4152	320	27	prey	prey	NOUN
iajs-4152	320	28	refuge	refuge	NOUN
iajs-4152	320	29	.	.	PUNCT
iajs-4152	321	1	discret	discret	ADJ
iajs-4152	321	2	contin	contin	PROPN
iajs-4152	321	3	dyn	dyn	PROPN
iajs-4152	321	4	syst	syst	PROPN
iajs-4152	321	5	ser	ser	PROPN
iajs-4152	321	6	b.	b.	PROPN
iajs-4152	321	7	2019;24(9):5003–39	2019;24(9):5003–39	PROPN
iajs-4152	321	8	.	.	PUNCT
iajs-4152	322	1	https://doi.org/10.3934/dcdsb.2019042	https://doi.org/10.3934/dcdsb.2019042	NOUN
iajs-4152	322	2	.	.	PUNCT
iajs-4152	323	1	18	18	NUM
iajs-4152	323	2	.	.	PUNCT
iajs-4152	324	1	raad	raad	PROPN
iajs-4152	324	2	sr	sr	PROPN
iajs-4152	324	3	.	.	PUNCT
iajs-4152	325	1	and	and	CCONJ
iajs-4152	325	2	al	al	PROPN
iajs-4152	325	3	-	-	PUNCT
iajs-4152	325	4	husseiny	husseiny	PROPN
iajs-4152	325	5	hf	hf	PROPN
iajs-4152	325	6	.	.	PUNCT
iajs-4152	326	1	influence	influence	NOUN
iajs-4152	326	2	of	of	ADP
iajs-4152	326	3	infection	infection	NOUN
iajs-4152	326	4	delay	delay	NOUN
iajs-4152	326	5	on	on	ADP
iajs-4152	326	6	the	the	DET
iajs-4152	326	7	covid-19	covid-19	PROPN
iajs-4152	326	8	pandemic	pandemic	ADJ
iajs-4152	326	9	with	with	ADP
iajs-4152	326	10	vaccination	vaccination	NOUN
iajs-4152	326	11	control	control	NOUN
iajs-4152	326	12	:	:	PUNCT
iajs-4152	326	13	modeling	modeling	NOUN
iajs-4152	326	14	and	and	CCONJ
iajs-4152	326	15	simulation	simulation	NOUN
iajs-4152	326	16	.	.	PUNCT
iajs-4152	327	1	ibn	ibn	PROPN
iajs-4152	327	2	al	al	PROPN
iajs-4152	327	3	-	-	PUNCT
iajs-4152	327	4	haitham	haitham	PROPN
iajs-4152	327	5	j	j	PROPN
iajs-4152	327	6	pure	pure	PROPN
iajs-4152	327	7	appl	appl	PROPN
iajs-4152	327	8	sci	sci	PROPN
iajs-4152	327	9	.	.	PROPN
iajs-4152	327	10	2025	2025	NUM
iajs-4152	327	11	;	;	PUNCT
iajs-4152	327	12	38(1	38(1	NUM
iajs-4152	327	13	):	):	PUNCT
iajs-4152	327	14	445–464	445–464	NUM
iajs-4152	327	15	.	.	PUNCT
iajs-4152	328	1	https://doi.org/10.30526/38.1.3638	https://doi.org/10.30526/38.1.3638	PROPN
iajs-4152	328	2	.	.	PROPN
iajs-4152	328	3	19	19	NUM
iajs-4152	328	4	.	.	PUNCT
iajs-4152	328	5	antwi	antwi	PROPN
iajs-4152	328	6	-	-	PUNCT
iajs-4152	328	7	fordjour	fordjour	PROPN
iajs-4152	328	8	k	k	PROPN
iajs-4152	328	9	,	,	PUNCT
iajs-4152	328	10	parshad	parshad	VERB
iajs-4152	328	11	rd	rd	PROPN
iajs-4152	328	12	,	,	PUNCT
iajs-4152	328	13	beauregard	beauregard	PROPN
iajs-4152	328	14	ma	ma	PROPN
iajs-4152	328	15	.	.	PROPN
iajs-4152	329	1	dynamics	dynamic	NOUN
iajs-4152	329	2	of	of	ADP
iajs-4152	329	3	a	a	DET
iajs-4152	329	4	predator	predator	NOUN
iajs-4152	329	5	–	–	PUNCT
iajs-4152	329	6	prey	prey	NOUN
iajs-4152	329	7	model	model	NOUN
iajs-4152	329	8	with	with	ADP
iajs-4152	329	9	generalized	generalized	ADJ
iajs-4152	329	10	holling	holle	VERB
iajs-4152	329	11	type	type	NOUN
iajs-4152	329	12	functional	functional	ADJ
iajs-4152	329	13	response	response	NOUN
iajs-4152	329	14	and	and	CCONJ
iajs-4152	329	15	mutual	mutual	ADJ
iajs-4152	329	16	interference	interference	NOUN
iajs-4152	329	17	.	.	PUNCT
iajs-4152	330	1	math	math	PROPN
iajs-4152	330	2	biosci	biosci	PROPN
iajs-4152	330	3	.	.	PUNCT
iajs-4152	331	1	2020;326	2020;326	NUM
iajs-4152	331	2	:	:	PUNCT
iajs-4152	331	3	108407	108407	NUM
iajs-4152	331	4	.	.	PUNCT
iajs-4152	332	1	https://doi.org/10.1016/j.mbs.2020.108407	https://doi.org/10.1016/j.mbs.2020.108407	X
iajs-4152	332	2	.	.	PROPN
iajs-4152	332	3	20	20	NUM
iajs-4152	332	4	.	.	PUNCT
iajs-4152	333	1	yadav	yadav	PROPN
iajs-4152	333	2	u	u	PROPN
iajs-4152	333	3	,	,	PUNCT
iajs-4152	333	4	nayak	nayak	PROPN
iajs-4152	333	5	ak	ak	PROPN
iajs-4152	333	6	,	,	PUNCT
iajs-4152	333	7	gakkhar	gakkhar	ADJ
iajs-4152	333	8	s.	s.	PROPN
iajs-4152	333	9	mathematical	mathematical	ADJ
iajs-4152	333	10	scrutiny	scrutiny	NOUN
iajs-4152	333	11	of	of	ADP
iajs-4152	333	12	singular	singular	ADJ
iajs-4152	333	13	predator	predator	NOUN
iajs-4152	333	14	-	-	PUNCT
iajs-4152	333	15	prey	prey	NOUN
iajs-4152	333	16	model	model	NOUN
iajs-4152	333	17	with	with	ADP
iajs-4152	333	18	stage	stage	NOUN
iajs-4152	333	19	-	-	PUNCT
iajs-4152	333	20	structureq2q	structureq2q	PROPN
iajs-4152	333	21	of	of	ADP
iajs-4152	333	22	prey	prey	PROPN
iajs-4152	333	23	.	.	PUNCT
iajs-4152	334	1	acta	acta	PROPN
iajs-4152	334	2	appl	appl	PROPN
iajs-4152	334	3	math	math	PROPN
iajs-4152	334	4	.	.	PUNCT
iajs-4152	335	1	2024;189(1):0–25	2024;189(1):0–25	NUM
iajs-4152	335	2	.	.	PUNCT
iajs-4152	336	1	https://doi.org/10.21203/rs.3.rs2317759/v1	https://doi.org/10.21203/rs.3.rs2317759/v1	PROPN
iajs-4152	336	2	.	.	PUNCT
iajs-4152	337	1	21	21	NUM
iajs-4152	337	2	.	.	X
iajs-4152	338	1	kashem	kashem	PROPN
iajs-4152	338	2	be	be	VERB
iajs-4152	338	3	,	,	PUNCT
iajs-4152	338	4	al	al	PROPN
iajs-4152	338	5	-	-	PUNCT
iajs-4152	338	6	husseiny	husseiny	PROPN
iajs-4152	338	7	hf	hf	PROPN
iajs-4152	338	8	.	.	PUNCT
iajs-4152	339	1	the	the	DET
iajs-4152	339	2	dynamic	dynamic	NOUN
iajs-4152	339	3	of	of	ADP
iajs-4152	339	4	two	two	NUM
iajs-4152	339	5	prey	prey	NOUN
iajs-4152	339	6	–	–	PUNCT
iajs-4152	339	7	one	one	NUM
iajs-4152	339	8	predator	predator	NOUN
iajs-4152	339	9	food	food	NOUN
iajs-4152	339	10	web	web	NOUN
iajs-4152	339	11	model	model	NOUN
iajs-4152	339	12	with	with	ADP
iajs-4152	339	13	fear	fear	NOUN
iajs-4152	339	14	and	and	CCONJ
iajs-4152	339	15	harvesting	harvesting	NOUN
iajs-4152	339	16	.	.	PUNCT
iajs-4152	340	1	partial	partial	ADJ
iajs-4152	340	2	differ	differ	VERB
iajs-4152	340	3	equations	equation	NOUN
iajs-4152	340	4	appl	appl	PROPN
iajs-4152	340	5	math	math	PROPN
iajs-4152	340	6	.	.	PUNCT
iajs-4152	341	1	2024;11(august):100875	2024;11(august):100875	NUM
iajs-4152	341	2	.	.	PUNCT
iajs-4152	342	1	https://doi.org/10.1016/j.padiff.2024.100875	https://doi.org/10.1016/j.padiff.2024.100875	PROPN
iajs-4152	342	2	.	.	PUNCT
iajs-4152	343	1	22	22	NUM
iajs-4152	343	2	.	.	PUNCT
iajs-4152	344	1	mondal	mondal	PROPN
iajs-4152	344	2	a	a	PROPN
iajs-4152	344	3	,	,	PUNCT
iajs-4152	344	4	pal	pal	PROPN
iajs-4152	344	5	ak	ak	PROPN
iajs-4152	344	6	,	,	PUNCT
iajs-4152	344	7	samanta	samanta	PROPN
iajs-4152	344	8	gp	gp	NOUN
iajs-4152	344	9	.	.	PUNCT
iajs-4152	345	1	complex	complex	ADJ
iajs-4152	345	2	dynamics	dynamic	NOUN
iajs-4152	345	3	of	of	ADP
iajs-4152	345	4	two	two	NUM
iajs-4152	345	5	prey	prey	NOUN
iajs-4152	345	6	–	–	PUNCT
iajs-4152	345	7	one	one	NUM
iajs-4152	345	8	predator	predator	NOUN
iajs-4152	345	9	model	model	NOUN
iajs-4152	345	10	together	together	ADV
iajs-4152	345	11	with	with	ADP
iajs-4152	345	12	fear	fear	NOUN
iajs-4152	345	13	effect	effect	NOUN
iajs-4152	345	14	and	and	CCONJ
iajs-4152	345	15	harvesting	harvesting	NOUN
iajs-4152	345	16	efforts	effort	NOUN
iajs-4152	345	17	in	in	ADP
iajs-4152	345	18	preys	prey	NOUN
iajs-4152	345	19	.	.	PUNCT
iajs-4152	346	1	j	j	PROPN
iajs-4152	346	2	comp	comp	PROPN
iajs-4152	346	3	math	math	PROPN
iajs-4152	346	4	data	data	PROPN
iajs-4152	346	5	sci	sci	PROPN
iajs-4152	346	6	.	.	PROPN
iajs-4152	346	7	2023	2023	NUM
iajs-4152	346	8	;	;	PUNCT
iajs-4152	346	9	6:100071	6:100071	NUM
iajs-4152	346	10	.	.	PUNCT
iajs-4152	347	1	https://doi.org/10.1016/j.jcmds.2022.100071	https://doi.org/10.1016/j.jcmds.2022.100071	NOUN
iajs-4152	347	2	.	.	PUNCT
iajs-4152	348	1	23	23	NUM
iajs-4152	348	2	.	.	PUNCT
iajs-4152	349	1	ritwick	ritwick	VERB
iajs-4152	349	2	b	b	X
iajs-4152	349	3	pritha	pritha	PROPN
iajs-4152	349	4	d	d	NOUN
iajs-4152	349	5	,	,	PUNCT
iajs-4152	349	6	debasis	debasis	NOUN
iajs-4152	349	7	m.	m.	NOUN
iajs-4152	349	8	stability	stability	NOUN
iajs-4152	349	9	and	and	CCONJ
iajs-4152	349	10	permanent	permanent	ADJ
iajs-4152	349	11	co	co	NOUN
iajs-4152	349	12	-	-	NOUN
iajs-4152	349	13	existence	existence	NOUN
iajs-4152	349	14	of	of	ADP
iajs-4152	349	15	a	a	DET
iajs-4152	349	16	discrete	discrete	ADJ
iajs-4152	349	17	-	-	PUNCT
iajs-4152	349	18	time	time	NOUN
iajs-4152	349	19	two	two	NUM
iajs-4152	349	20	-	-	PUNCT
iajs-4152	349	21	prey	prey	NOUN
iajs-4152	349	22	one	one	NUM
iajs-4152	349	23	-	-	PUNCT
iajs-4152	349	24	predator	predator	NOUN
iajs-4152	349	25	system	system	NOUN
iajs-4152	349	26	with	with	ADP
iajs-4152	349	27	harvesting	harvesting	NOUN
iajs-4152	349	28	effort	effort	NOUN
iajs-4152	349	29	.	.	PUNCT
iajs-4152	350	1	aip	aip	PROPN
iajs-4152	350	2	conf	conf	PROPN
iajs-4152	350	3	proc	proc	PROPN
iajs-4152	350	4	.	.	PROPN
iajs-4152	351	1	2019	2019	NUM
iajs-4152	351	2	;	;	PUNCT
iajs-4152	351	3	2159	2159	NUM
iajs-4152	351	4	(	(	PUNCT
iajs-4152	351	5	1	1	NUM
iajs-4152	351	6	):	):	PUNCT
iajs-4152	351	7	030002	030002	NUM
iajs-4152	351	8	.	.	PUNCT
iajs-4152	352	1	https://doi.org/10.1063/1.5127467	https://doi.org/10.1063/1.5127467	PROPN
iajs-4152	352	2	.	.	PROPN
iajs-4152	352	3	24	24	NUM
iajs-4152	352	4	.	.	PUNCT
iajs-4152	352	5	waldani	waldani	PROPN
iajs-4152	352	6	ge	ge	PROPN
iajs-4152	352	7	,	,	PUNCT
iajs-4152	352	8	chalimatusadiah	chalimatusadiah	PROPN
iajs-4152	352	9	c.	c.	PROPN
iajs-4152	352	10	hopf	hopf	PROPN
iajs-4152	352	11	bifurcation	bifurcation	NOUN
iajs-4152	352	12	in	in	ADP
iajs-4152	352	13	a	a	DET
iajs-4152	352	14	modified	modify	VERB
iajs-4152	352	15	lesliegower	lesliegower	NOUN
iajs-4152	352	16	two	two	NUM
iajs-4152	352	17	preys	prey	VERB
iajs-4152	352	18	one	one	NUM
iajs-4152	352	19	predator	predator	NOUN
iajs-4152	352	20	model	model	NOUN
iajs-4152	352	21	and	and	CCONJ
iajs-4152	352	22	holling	holle	VERB
iajs-4152	352	23	type	type	NOUN
iajs-4152	352	24	ii	ii	NOUN
iajs-4152	352	25	functional	functional	ADJ
iajs-4152	352	26	response	response	NOUN
iajs-4152	352	27	with	with	ADP
iajs-4152	352	28	harvesting	harvesting	NOUN
iajs-4152	352	29	and	and	CCONJ
iajs-4152	352	30	time	time	NOUN
iajs-4152	352	31	-	-	PUNCT
iajs-4152	352	32	delay	delay	NOUN
iajs-4152	352	33	.	.	PUNCT
iajs-4152	353	1	j	j	PROPN
iajs-4152	353	2	matem	matem	NOUN
iajs-4152	353	3	,	,	PUNCT
iajs-4152	353	4	statistika	statistika	PROPN
iajs-4152	353	5	dan	dan	PROPN
iajs-4152	353	6	komputasi	komputasi	PROPN
iajs-4152	353	7	.	.	PUNCT
iajs-4152	353	8	2023	2023	NUM
iajs-4152	353	9	;	;	PUNCT
iajs-4152	353	10	19	19	NUM
iajs-4152	353	11	,	,	PUNCT
iajs-4152	353	12	520–536	520–536	NUM
iajs-4152	353	13	.	.	PUNCT
iajs-4152	354	1	https://doi.org/10.20956/j.v19i3.24851	https://doi.org/10.20956/j.v19i3.24851	NOUN
iajs-4152	354	2	.	.	PUNCT
iajs-4152	355	1	https://doi.org/10.21123/bsj.2024.9945	https://doi.org/10.21123/bsj.2024.9945	ADJ
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iajs-4152	355	3	https://doi.org/10.1007/s11071-019-04951-5	https://doi.org/10.1007/s11071-019-04951-5	NUM
iajs-4152	355	4	https://doi.org/10.24996/ijs.2019.60.8.14	https://doi.org/10.24996/ijs.2019.60.8.14	PROPN
iajs-4152	355	5	https://doi.org/10.3934/math.2022454	https://doi.org/10.3934/math.2022454	NOUN
iajs-4152	355	6	https://doi.org/10.3934/math.2024208	https://doi.org/10.3934/math.2024208	ADJ
iajs-4152	355	7	https://doi.org/10.1142/s1793524517500139	https://doi.org/10.1142/s1793524517500139	PROPN
iajs-4152	355	8	https://doi.org/10.1016/j.matcom.2023.09.002	https://doi.org/10.1016/j.matcom.2023.09.002	PROPN
iajs-4152	355	9	http://dx.doi.org/10.31219/osf.io/wv9gf	http://dx.doi.org/10.31219/osf.io/wv9gf	PROPN
iajs-4152	355	10	https://doi.org/10.1007/s11071-018-4377-9	https://doi.org/10.1007/s11071-018-4377-9	NUM
iajs-4152	355	11	https://doi.org/10.3934/dcdsb.2019042	https://doi.org/10.3934/dcdsb.2019042	PROPN
iajs-4152	355	12	https://doi.org/10.30526/38.1.3638	https://doi.org/10.30526/38.1.3638	PROPN
iajs-4152	355	13	.	.	PUNCT
iajs-4152	356	1	https://doi.org/10.1016/j.mbs.2020.108407	https://doi.org/10.1016/j.mbs.2020.108407	X
iajs-4152	357	1	https://doi.org/10.21203/rs.3.rs-2317759/v1	https://doi.org/10.21203/rs.3.rs-2317759/v1	NOUN
iajs-4152	358	1	https://doi.org/10.21203/rs.3.rs-2317759/v1	https://doi.org/10.21203/rs.3.rs-2317759/v1	PROPN
iajs-4152	358	2	https://doi.org/10.1016/j.padiff.2024.100875	https://doi.org/10.1016/j.padiff.2024.100875	PROPN
iajs-4152	358	3	https://doi.org/10.1016/j.jcmds.2022.100071	https://doi.org/10.1016/j.jcmds.2022.100071	PROPN
iajs-4152	358	4	https://doi.org/10.1063/1.5127467	https://doi.org/10.1063/1.5127467	NOUN
iajs-4152	358	5	https://doi.org/10.20956/j.v19i3.24851	https://doi.org/10.20956/j.v19i3.24851	VERB
iajs-4152	358	6	ihjpas	ihjpa	NOUN
iajs-4152	358	7	.	.	PUNCT
iajs-4152	359	1	2025,38(4	2025,38(4	NOUN
iajs-4152	359	2	)	)	PUNCT
iajs-4152	359	3	423	423	NUM
iajs-4152	359	4	25	25	NUM
iajs-4152	359	5	.	.	PUNCT
iajs-4152	360	1	oladele	oladele	PROPN
iajs-4152	360	2	fj	fj	PROPN
iajs-4152	360	3	,	,	PUNCT
iajs-4152	360	4	yakubu	yakubu	PROPN
iajs-4152	360	5	as	as	ADP
iajs-4152	360	6	,	,	PUNCT
iajs-4152	360	7	kehinde	kehinde	ADJ
iajs-4152	361	1	oh	oh	INTJ
iajs-4152	361	2	.	.	PUNCT
iajs-4152	361	3	numerical	numerical	ADJ
iajs-4152	361	4	analysis	analysis	NOUN
iajs-4152	361	5	of	of	ADP
iajs-4152	361	6	a	a	DET
iajs-4152	361	7	prey	prey	NOUN
iajs-4152	361	8	harvesting	harvesting	NOUN
iajs-4152	361	9	of	of	ADP
iajs-4152	361	10	one	one	NUM
iajs-4152	361	11	predator	predator	NOUN
iajs-4152	361	12	–	–	PUNCT
iajs-4152	361	13	two	two	NUM
iajs-4152	361	14	prey	prey	NOUN
iajs-4152	361	15	dynamics	dynamic	NOUN
iajs-4152	361	16	in	in	ADP
iajs-4152	361	17	tropical	tropical	ADJ
iajs-4152	361	18	zone	zone	NOUN
iajs-4152	361	19	.	.	PUNCT
iajs-4152	362	1	2020	2020	NUM
iajs-4152	362	2	int	int	NOUN
iajs-4152	362	3	conf	conf	NOUN
iajs-4152	362	4	math	math	NOUN
iajs-4152	362	5	comp	comp	PROPN
iajs-4152	362	6	eng	eng	PROPN
iajs-4152	362	7	comp	comp	PROPN
iajs-4152	362	8	sci	sci	PROPN
iajs-4152	362	9	.	.	PUNCT
iajs-4152	363	1	(	(	PUNCT
iajs-4152	363	2	icmcecs	icmcecs	NOUN
iajs-4152	363	3	)	)	PUNCT
iajs-4152	363	4	,	,	PUNCT
iajs-4152	363	5	ayobo	ayobo	NOUN
iajs-4152	363	6	,	,	PUNCT
iajs-4152	363	7	nigeria	nigeria	PROPN
iajs-4152	363	8	,	,	PUNCT
iajs-4152	363	9	2020	2020	NUM
iajs-4152	363	10	,	,	PUNCT
iajs-4152	363	11	1	1	NUM
iajs-4152	363	12	-	-	SYM
iajs-4152	363	13	7	7	NUM
iajs-4152	363	14	,	,	PUNCT
iajs-4152	363	15	https://doi.org/	https://doi.org/	NOUN
iajs-4152	363	16	10.1109	10.1109	NUM
iajs-4152	363	17	/	/	SYM
iajs-4152	363	18	icmcecs47690.2020.246993	icmcecs47690.2020.246993	PROPN
iajs-4152	363	19	.	.	PUNCT
iajs-4152	364	1	26	26	NUM
iajs-4152	364	2	.	.	PUNCT
iajs-4152	365	1	ahmed	ahmed	PROPN
iajs-4152	365	2	ma	ma	PROPN
iajs-4152	365	3	,	,	PUNCT
iajs-4152	365	4	bahlool	bahlool	PROPN
iajs-4152	365	5	dk	dk	PROPN
iajs-4152	365	6	.	.	PUNCT
iajs-4152	366	1	the	the	DET
iajs-4152	366	2	influence	influence	NOUN
iajs-4152	366	3	of	of	ADP
iajs-4152	366	4	fear	fear	NOUN
iajs-4152	366	5	on	on	ADP
iajs-4152	366	6	the	the	DET
iajs-4152	366	7	dynamics	dynamic	NOUN
iajs-4152	366	8	of	of	ADP
iajs-4152	366	9	a	a	DET
iajs-4152	366	10	prey	prey	NOUN
iajs-4152	366	11	-	-	PUNCT
iajs-4152	366	12	predator	predator	NOUN
iajs-4152	366	13	scavenger	scavenger	NOUN
iajs-4152	366	14	model	model	NOUN
iajs-4152	366	15	with	with	ADP
iajs-4152	366	16	quadratic	quadratic	ADJ
iajs-4152	366	17	harvesting	harvesting	NOUN
iajs-4152	366	18	.	.	PUNCT
iajs-4152	367	1	commun	commun	PROPN
iajs-4152	367	2	math	math	PROPN
iajs-4152	367	3	biol	biol	PROPN
iajs-4152	367	4	neurosci	neurosci	PROPN
iajs-4152	367	5	.	.	PUNCT
iajs-4152	368	1	2022	2022	NUM
iajs-4152	368	2	.	.	PUNCT
iajs-4152	369	1	https://doi.org/	https://doi.org/	VERB
iajs-4152	369	2	10.28919	10.28919	NUM
iajs-4152	369	3	/	/	SYM
iajs-4152	369	4	cmbn/7506	cmbn/7506	NOUN
iajs-4152	369	5	.	.	PUNCT
iajs-4152	370	1	27	27	NUM
iajs-4152	370	2	.	.	PUNCT
iajs-4152	371	1	kumar	kumar	PROPN
iajs-4152	371	2	a	a	PROPN
iajs-4152	371	3	,	,	PUNCT
iajs-4152	371	4	dubey	dubey	PROPN
iajs-4152	371	5	b.	b.	PROPN
iajs-4152	371	6	modeling	model	VERB
iajs-4152	371	7	the	the	DET
iajs-4152	371	8	effect	effect	NOUN
iajs-4152	371	9	of	of	ADP
iajs-4152	371	10	fear	fear	NOUN
iajs-4152	371	11	in	in	ADP
iajs-4152	371	12	a	a	DET
iajs-4152	371	13	prey	prey	NOUN
iajs-4152	371	14	-	-	PUNCT
iajs-4152	371	15	predator	predator	NOUN
iajs-4152	371	16	system	system	NOUN
iajs-4152	371	17	with	with	ADP
iajs-4152	371	18	prey	prey	PROPN
iajs-4152	371	19	refuge	refuge	NOUN
iajs-4152	371	20	and	and	CCONJ
iajs-4152	371	21	gestation	gestation	NOUN
iajs-4152	371	22	delay	delay	NOUN
iajs-4152	371	23	.	.	PUNCT
iajs-4152	372	1	int	int	NOUN
iajs-4152	372	2	j	j	PROPN
iajs-4152	372	3	bifurc	bifurc	PROPN
iajs-4152	372	4	chaos	chaos	PROPN
iajs-4152	372	5	.	.	PUNCT
iajs-4152	373	1	2019;29(14):1–25	2019;29(14):1–25	NUM
iajs-4152	373	2	.	.	PUNCT
iajs-4152	374	1	https://doi.org/10.1142/s0218127419501955	https://doi.org/10.1142/s0218127419501955	NOUN
iajs-4152	374	2	.	.	PUNCT
iajs-4152	375	1	28	28	NUM
iajs-4152	375	2	.	.	PUNCT
iajs-4152	376	1	belew	belew	PROPN
iajs-4152	376	2	b	b	PROPN
iajs-4152	376	3	,	,	PUNCT
iajs-4152	376	4	melese	melese	ADJ
iajs-4152	376	5	d.	d.	PROPN
iajs-4152	376	6	modeling	modeling	NOUN
iajs-4152	376	7	and	and	CCONJ
iajs-4152	376	8	analysis	analysis	NOUN
iajs-4152	376	9	of	of	ADP
iajs-4152	376	10	predator	predator	NOUN
iajs-4152	376	11	-	-	PUNCT
iajs-4152	376	12	prey	prey	NOUN
iajs-4152	376	13	model	model	NOUN
iajs-4152	376	14	with	with	ADP
iajs-4152	376	15	fear	fear	NOUN
iajs-4152	376	16	effect	effect	NOUN
iajs-4152	376	17	in	in	ADP
iajs-4152	376	18	prey	prey	NOUN
iajs-4152	376	19	and	and	CCONJ
iajs-4152	376	20	hunting	hunt	VERB
iajs-4152	376	21	cooperation	cooperation	NOUN
iajs-4152	376	22	among	among	ADP
iajs-4152	376	23	predators	predator	NOUN
iajs-4152	376	24	and	and	CCONJ
iajs-4152	376	25	harvesting	harvesting	NOUN
iajs-4152	376	26	.	.	PUNCT
iajs-4152	377	1	j	j	PROPN
iajs-4152	377	2	appl	appl	PROPN
iajs-4152	377	3	math	math	PROPN
iajs-4152	377	4	.	.	PUNCT
iajs-4152	378	1	2022	2022	NUM
iajs-4152	378	2	;	;	PUNCT
iajs-4152	378	3	1(2022	1(2022	NUM
iajs-4152	378	4	)	)	PUNCT
iajs-4152	378	5	.	.	PUNCT
iajs-4152	379	1	https://doi.org/10.1155/2022/2776698	https://doi.org/10.1155/2022/2776698	PROPN
iajs-4152	379	2	.	.	PUNCT
iajs-4152	380	1	29	29	NUM
iajs-4152	380	2	.	.	PUNCT
iajs-4152	381	1	he	he	PRON
iajs-4152	381	2	m	m	PROPN
iajs-4152	381	3	,	,	PUNCT
iajs-4152	381	4	li	li	PROPN
iajs-4152	381	5	z.	z.	PROPN
iajs-4152	381	6	stability	stability	NOUN
iajs-4152	381	7	of	of	ADP
iajs-4152	381	8	a	a	DET
iajs-4152	381	9	fear	fear	NOUN
iajs-4152	381	10	effect	effect	NOUN
iajs-4152	381	11	predator	predator	NOUN
iajs-4152	381	12	–	–	PUNCT
iajs-4152	381	13	prey	prey	NOUN
iajs-4152	381	14	model	model	NOUN
iajs-4152	381	15	with	with	ADP
iajs-4152	381	16	mutual	mutual	ADJ
iajs-4152	381	17	interference	interference	NOUN
iajs-4152	381	18	or	or	CCONJ
iajs-4152	381	19	group	group	NOUN
iajs-4152	381	20	defense	defense	NOUN
iajs-4152	381	21	.	.	PUNCT
iajs-4152	382	1	j	j	PROPN
iajs-4152	382	2	biol	biol	PROPN
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iajs-4152	382	4	.	.	PUNCT
iajs-4152	383	1	2022;16(1):480–98	2022;16(1):480–98	NUM
iajs-4152	383	2	.	.	PUNCT
iajs-4152	384	1	https://doi.org/10.1080/17513758.2022.2091800	https://doi.org/10.1080/17513758.2022.2091800	PROPN
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iajs-4152	384	4	.	.	PUNCT
iajs-4152	385	1	al	al	PROPN
iajs-4152	385	2	-	-	PUNCT
iajs-4152	385	3	jubouri	jubouri	PROPN
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iajs-4152	385	8	.	.	PUNCT
iajs-4152	385	9	stability	stability	NOUN
iajs-4152	385	10	and	and	CCONJ
iajs-4152	385	11	hopf	hopf	ADJ
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iajs-4152	385	13	of	of	ADP
iajs-4152	385	14	a	a	DET
iajs-4152	385	15	delayed	delay	VERB
iajs-4152	385	16	preypredator	preypredator	NOUN
iajs-4152	385	17	system	system	NOUN
iajs-4152	385	18	with	with	ADP
iajs-4152	385	19	fear	fear	NOUN
iajs-4152	385	20	,	,	PUNCT
iajs-4152	385	21	hunting	hunt	VERB
iajs-4152	385	22	cooperative	cooperative	NOUN
iajs-4152	385	23	,	,	PUNCT
iajs-4152	385	24	and	and	CCONJ
iajs-4152	385	25	allee	allee	PROPN
iajs-4152	385	26	effect	effect	NOUN
iajs-4152	385	27	.	.	PUNCT
iajs-4152	386	1	iraqi	iraqi	ADJ
iajs-4152	386	2	j	j	PROPN
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iajs-4152	386	4	.	.	PUNCT
iajs-4152	387	1	2024;65(7):3901–21	2024;65(7):3901–21	INTJ
iajs-4152	387	2	.	.	PUNCT
iajs-4152	388	1	https://doi.org/10.24996/ijs.2024.65.7.29	https://doi.org/10.24996/ijs.2024.65.7.29	X
iajs-4152	388	2	.	.	PROPN
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iajs-4152	388	4	.	.	PUNCT
iajs-4152	389	1	horn	horn	PROPN
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iajs-4152	389	7	matrix	matrix	NOUN
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iajs-4152	389	9	.	.	PUNCT
iajs-4152	390	1	cambridge	cambridge	PROPN
iajs-4152	390	2	:	:	PUNCT
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iajs-4152	390	6	;	;	PUNCT
iajs-4152	390	7	1985	1985	NUM
iajs-4152	390	8	.	.	PUNCT
iajs-4152	391	1	https://doi.org/10.1017/cbo9780511810817	https://doi.org/10.1017/cbo9780511810817	PROPN
iajs-4152	391	2	.	.	PUNCT
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iajs-4152	392	5	https://doi.org/10.1155/2022/2776698	https://doi.org/10.1155/2022/2776698	PROPN
iajs-4152	392	6	https://doi.org/10.1080/17513758.2022.2091800	https://doi.org/10.1080/17513758.2022.2091800	PROPN
iajs-4152	392	7	https://doi.org/10.24996/ijs.2024.65.7.29	https://doi.org/10.24996/ijs.2024.65.7.29	PROPN
iajs-4152	392	8	https://doi.org/10.1017/cbo9780511810817	https://doi.org/10.1017/cbo9780511810817	X