id	sid	tid	token	lemma	pos
biomedich-33	1	1	biology	biology	NOUN
biomedich-33	1	2	,	,	PUNCT
biomedich-33	1	3	medicine	medicine	NOUN
biomedich-33	1	4	,	,	PUNCT
biomedich-33	1	5	&	&	CCONJ
biomedich-33	1	6	natural	natural	ADJ
biomedich-33	1	7	product	product	NOUN
biomedich-33	1	8	chemistry	chemistry	NOUN
biomedich-33	1	9	issn	issn	NOUN
biomedich-33	1	10	:	:	PUNCT
biomedich-33	1	11	2089	2089	NUM
biomedich-33	1	12	-	-	SYM
biomedich-33	1	13	6514	6514	NUM
biomedich-33	1	14	volume	volume	NOUN
biomedich-33	1	15	5	5	NUM
biomedich-33	1	16	,	,	PUNCT
biomedich-33	1	17	number	number	NOUN
biomedich-33	1	18	1	1	NUM
biomedich-33	1	19	,	,	PUNCT
biomedich-33	1	20	2016	2016	NUM
biomedich-33	1	21	|	|	ADV
biomedich-33	1	22	pages	page	NOUN
biomedich-33	1	23	:	:	PUNCT
biomedich-33	1	24	9	9	NUM
biomedich-33	1	25	-	-	SYM
biomedich-33	1	26	14	14	NUM
biomedich-33	1	27	|	|	ADV
biomedich-33	1	28	doi	doi	NOUN
biomedich-33	1	29	:	:	PUNCT
biomedich-33	1	30	10.14421	10.14421	NUM
biomedich-33	1	31	/	/	SYM
biomedich-33	1	32	biomedich.2016.51.9	biomedich.2016.51.9	NOUN
biomedich-33	1	33	-	-	PUNCT
biomedich-33	1	34	14	14	NUM
biomedich-33	1	35	local	local	ADJ
biomedich-33	1	36	stability	stability	NOUN
biomedich-33	1	37	analysis	analysis	NOUN
biomedich-33	1	38	of	of	ADP
biomedich-33	1	39	a	a	DET
biomedich-33	1	40	mathematical	mathematical	ADJ
biomedich-33	1	41	model	model	NOUN
biomedich-33	1	42	of	of	ADP
biomedich-33	1	43	the	the	DET
biomedich-33	1	44	interaction	interaction	NOUN
biomedich-33	1	45	of	of	ADP
biomedich-33	1	46	two	two	NUM
biomedich-33	1	47	populations	population	NOUN
biomedich-33	1	48	of	of	ADP
biomedich-33	1	49	differential	differential	ADJ
biomedich-33	1	50	equations	equation	NOUN
biomedich-33	1	51	(	(	PUNCT
biomedich-33	1	52	host	host	NOUN
biomedich-33	1	53	-	-	PUNCT
biomedich-33	1	54	parasitoid	parasitoid	NOUN
biomedich-33	1	55	)	)	PUNCT
biomedich-33	2	1	dewi	dewi	PROPN
biomedich-33	2	2	anggreini	anggreini	NOUN
biomedich-33	2	3	lecturer	lecturer	NOUN
biomedich-33	2	4	of	of	ADP
biomedich-33	2	5	study	study	NOUN
biomedich-33	2	6	program	program	NOUN
biomedich-33	2	7	mathematics	mathematic	NOUN
biomedich-33	2	8	education	education	NOUN
biomedich-33	2	9	,	,	PUNCT
biomedich-33	2	10	stkip	stkip	VERB
biomedich-33	3	1	pgri	pgri	NOUN
biomedich-33	3	2	tulungagung	tulungagung	PROPN
biomedich-33	3	3	jl	jl	PROPN
biomedich-33	3	4	.	.	PROPN
biomedich-33	3	5	mayor	mayor	PROPN
biomedich-33	3	6	sujadi	sujadi	PROPN
biomedich-33	3	7	timur	timur	PROPN
biomedich-33	4	1	no	no	NOUN
biomedich-33	4	2	.	.	PROPN
biomedich-33	4	3	7	7	NUM
biomedich-33	4	4	tulungagung	tulungagung	PROPN
biomedich-33	4	5	,	,	PUNCT
biomedich-33	4	6	66221	66221	NUM
biomedich-33	4	7	tel	tel	PROPN
biomedich-33	4	8	/	/	SYM
biomedich-33	4	9	fax	fax	NOUN
biomedich-33	4	10	:	:	PUNCT
biomedich-33	4	11	(	(	PUNCT
biomedich-33	4	12	0355	0355	NUM
biomedich-33	4	13	)	)	PUNCT
biomedich-33	4	14	321426	321426	NUM
biomedich-33	4	15	author	author	NOUN
biomedich-33	4	16	correspondency	correspondency	NOUN
biomedich-33	4	17	:	:	PUNCT
biomedich-33	4	18	anggreini_004@yahoo.com	anggreini_004@yahoo.com	PROPN
biomedich-33	4	19	abstract	abstract	PROPN
biomedich-33	4	20	mathematical	mathematical	ADJ
biomedich-33	4	21	model	model	NOUN
biomedich-33	4	22	has	have	VERB
biomedich-33	4	23	many	many	ADJ
biomedich-33	4	24	benefits	benefit	NOUN
biomedich-33	4	25	in	in	ADP
biomedich-33	4	26	life	life	NOUN
biomedich-33	4	27	,	,	PUNCT
biomedich-33	4	28	especially	especially	ADV
biomedich-33	4	29	the	the	DET
biomedich-33	4	30	development	development	NOUN
biomedich-33	4	31	of	of	ADP
biomedich-33	4	32	science	science	NOUN
biomedich-33	4	33	and	and	CCONJ
biomedich-33	4	34	application	application	NOUN
biomedich-33	4	35	to	to	ADP
biomedich-33	4	36	other	other	ADJ
biomedich-33	4	37	fields	field	NOUN
biomedich-33	4	38	.	.	PUNCT
biomedich-33	5	1	the	the	DET
biomedich-33	5	2	mathematical	mathematical	ADJ
biomedich-33	5	3	model	model	NOUN
biomedich-33	5	4	seeks	seek	VERB
biomedich-33	5	5	to	to	PART
biomedich-33	5	6	represent	represent	VERB
biomedich-33	5	7	real	real	ADJ
biomedich-33	5	8	-	-	PUNCT
biomedich-33	5	9	life	life	NOUN
biomedich-33	5	10	problems	problem	NOUN
biomedich-33	5	11	formulated	formulate	VERB
biomedich-33	5	12	mathematically	mathematically	ADV
biomedich-33	5	13	to	to	PART
biomedich-33	5	14	get	get	VERB
biomedich-33	5	15	the	the	DET
biomedich-33	5	16	right	right	ADJ
biomedich-33	5	17	solution	solution	NOUN
biomedich-33	5	18	.	.	PUNCT
biomedich-33	6	1	this	this	DET
biomedich-33	6	2	research	research	NOUN
biomedich-33	6	3	is	be	AUX
biomedich-33	6	4	the	the	DET
biomedich-33	6	5	application	application	NOUN
biomedich-33	6	6	of	of	ADP
biomedich-33	6	7	mathematical	mathematical	ADJ
biomedich-33	6	8	models	model	NOUN
biomedich-33	6	9	in	in	ADP
biomedich-33	6	10	the	the	DET
biomedich-33	6	11	field	field	NOUN
biomedich-33	6	12	of	of	ADP
biomedich-33	6	13	biology	biology	NOUN
biomedich-33	6	14	that	that	PRON
biomedich-33	6	15	examines	examine	VERB
biomedich-33	6	16	the	the	DET
biomedich-33	6	17	interaction	interaction	NOUN
biomedich-33	6	18	of	of	ADP
biomedich-33	6	19	the	the	DET
biomedich-33	6	20	two	two	NUM
biomedich-33	6	21	populations	population	NOUN
biomedich-33	6	22	that	that	PRON
biomedich-33	6	23	host	host	NOUN
biomedich-33	6	24	populations	population	NOUN
biomedich-33	6	25	and	and	CCONJ
biomedich-33	6	26	parasitoid	parasitoid	NOUN
biomedich-33	6	27	populations	population	NOUN
biomedich-33	6	28	.	.	PUNCT
biomedich-33	7	1	this	this	DET
biomedich-33	7	2	study	study	NOUN
biomedich-33	7	3	differs	differ	VERB
biomedich-33	7	4	from	from	ADP
biomedich-33	7	5	previous	previous	ADJ
biomedich-33	7	6	studies	study	NOUN
biomedich-33	7	7	that	that	PRON
biomedich-33	7	8	examine	examine	VERB
biomedich-33	7	9	the	the	DET
biomedich-33	7	10	interaction	interaction	NOUN
biomedich-33	7	11	of	of	ADP
biomedich-33	7	12	two	two	NUM
biomedich-33	7	13	more	more	ADJ
biomedich-33	7	14	species	specie	NOUN
biomedich-33	7	15	that	that	PRON
biomedich-33	7	16	prey	prey	VERB
biomedich-33	7	17	and	and	CCONJ
biomedich-33	7	18	predators	predator	NOUN
biomedich-33	7	19	where	where	SCONJ
biomedich-33	7	20	predators	predator	NOUN
biomedich-33	7	21	kill	kill	VERB
biomedich-33	7	22	prey	prey	NOUN
biomedich-33	7	23	quickly	quickly	ADV
biomedich-33	7	24	.	.	PUNCT
biomedich-33	8	1	in	in	ADP
biomedich-33	8	2	this	this	DET
biomedich-33	8	3	study	study	NOUN
biomedich-33	8	4	the	the	DET
biomedich-33	8	5	parasitoid	parasitoid	NOUN
biomedich-33	8	6	population	population	NOUN
biomedich-33	8	7	slowly	slowly	ADV
biomedich-33	8	8	killing	kill	VERB
biomedich-33	8	9	the	the	DET
biomedich-33	8	10	host	host	NOUN
biomedich-33	8	11	population	population	NOUN
biomedich-33	8	12	by	by	ADP
biomedich-33	8	13	living	live	VERB
biomedich-33	8	14	aboard	aboard	ADV
biomedich-33	8	15	and	and	CCONJ
biomedich-33	8	16	take	take	VERB
biomedich-33	8	17	food	food	NOUN
biomedich-33	8	18	from	from	ADP
biomedich-33	8	19	the	the	DET
biomedich-33	8	20	host	host	NOUN
biomedich-33	8	21	population	population	NOUN
biomedich-33	8	22	it	it	PRON
biomedich-33	8	23	occupies	occupy	VERB
biomedich-33	8	24	.	.	PUNCT
biomedich-33	9	1	in	in	ADP
biomedich-33	9	2	this	this	DET
biomedich-33	9	3	study	study	NOUN
biomedich-33	9	4	of	of	ADP
biomedich-33	9	5	differential	differential	ADJ
biomedich-33	9	6	equations	equation	NOUN
biomedich-33	9	7	are	be	AUX
biomedich-33	9	8	used	use	VERB
biomedich-33	9	9	to	to	PART
biomedich-33	9	10	construct	construct	VERB
biomedich-33	9	11	a	a	DET
biomedich-33	9	12	mathematical	mathematical	ADJ
biomedich-33	9	13	model	model	NOUN
biomedich-33	9	14	was	be	AUX
biomedich-33	9	15	particularly	particularly	ADV
biomedich-33	9	16	focused	focus	VERB
biomedich-33	9	17	on	on	ADP
biomedich-33	9	18	the	the	DET
biomedich-33	9	19	stability	stability	NOUN
biomedich-33	9	20	of	of	ADP
biomedich-33	9	21	the	the	DET
biomedich-33	9	22	local	local	ADJ
biomedich-33	9	23	mathematical	mathematical	ADJ
biomedich-33	9	24	model	model	NOUN
biomedich-33	9	25	of	of	ADP
biomedich-33	9	26	interaction	interaction	NOUN
biomedich-33	9	27	of	of	ADP
biomedich-33	9	28	two	two	NUM
biomedich-33	9	29	differential	differential	ADJ
biomedich-33	9	30	equations	equation	NOUN
biomedich-33	9	31	that	that	PRON
biomedich-33	9	32	host	host	NOUN
biomedich-33	9	33	and	and	CCONJ
biomedich-33	9	34	parasitoid	parasitoid	NOUN
biomedich-33	9	35	populations	population	NOUN
biomedich-33	9	36	.	.	PUNCT
biomedich-33	10	1	stability	stability	NOUN
biomedich-33	10	2	discussed	discuss	VERB
biomedich-33	10	3	in	in	ADP
biomedich-33	10	4	this	this	DET
biomedich-33	10	5	study	study	NOUN
biomedich-33	10	6	are	be	AUX
biomedich-33	10	7	stable	stable	ADJ
biomedich-33	10	8	equilibrium	equilibrium	NOUN
biomedich-33	10	9	points	point	NOUN
biomedich-33	10	10	are	be	AUX
biomedich-33	10	11	obtained	obtain	VERB
biomedich-33	10	12	from	from	ADP
biomedich-33	10	13	the	the	DET
biomedich-33	10	14	characteristic	characteristic	ADJ
biomedich-33	10	15	equation	equation	NOUN
biomedich-33	10	16	systems	system	NOUN
biomedich-33	10	17	of	of	ADP
biomedich-33	10	18	differential	differential	ADJ
biomedich-33	10	19	equations	equation	NOUN
biomedich-33	10	20	host	host	NOUN
biomedich-33	10	21	and	and	CCONJ
biomedich-33	10	22	parasitoid	parasitoid	NOUN
biomedich-33	10	23	interactions	interaction	NOUN
biomedich-33	10	24	.	.	PUNCT
biomedich-33	11	1	type	type	VERB
biomedich-33	11	2	the	the	DET
biomedich-33	11	3	stability	stability	NOUN
biomedich-33	11	4	of	of	ADP
biomedich-33	11	5	the	the	DET
biomedich-33	11	6	equilibrium	equilibrium	NOUN
biomedich-33	11	7	point	point	NOUN
biomedich-33	11	8	is	be	AUX
biomedich-33	11	9	determined	determine	VERB
biomedich-33	11	10	on	on	ADP
biomedich-33	11	11	the	the	DET
biomedich-33	11	12	eigenvalues	eigenvalue	NOUN
biomedich-33	11	13	of	of	ADP
biomedich-33	11	14	the	the	DET
biomedich-33	11	15	jacobian	jacobian	ADJ
biomedich-33	11	16	matrix	matrix	NOUN
biomedich-33	11	17	.	.	PUNCT
biomedich-33	12	1	analysis	analysis	NOUN
biomedich-33	12	2	of	of	ADP
biomedich-33	12	3	stability	stability	NOUN
biomedich-33	12	4	is	be	AUX
biomedich-33	12	5	obtained	obtain	VERB
biomedich-33	12	6	by	by	ADP
biomedich-33	12	7	determining	determine	VERB
biomedich-33	12	8	the	the	DET
biomedich-33	12	9	eigenvalues	eigenvalue	NOUN
biomedich-33	12	10	of	of	ADP
biomedich-33	12	11	the	the	DET
biomedich-33	12	12	jacobian	jacobian	ADJ
biomedich-33	12	13	matrix	matrix	NOUN
biomedich-33	12	14	around	around	ADP
biomedich-33	12	15	equilibrium	equilibrium	NOUN
biomedich-33	12	16	points	point	NOUN
biomedich-33	12	17	.	.	PUNCT
biomedich-33	13	1	having	having	AUX
biomedich-33	13	2	obtained	obtain	VERB
biomedich-33	13	3	the	the	DET
biomedich-33	13	4	stable	stable	ADJ
biomedich-33	13	5	equilibrium	equilibrium	NOUN
biomedich-33	13	6	points	point	NOUN
biomedich-33	13	7	are	be	AUX
biomedich-33	13	8	then	then	ADV
biomedich-33	13	9	given	give	VERB
biomedich-33	13	10	in	in	ADP
biomedich-33	13	11	the	the	DET
biomedich-33	13	12	form	form	NOUN
biomedich-33	13	13	of	of	ADP
biomedich-33	13	14	charts	chart	NOUN
biomedich-33	13	15	and	and	CCONJ
biomedich-33	13	16	portraits	portrait	NOUN
biomedich-33	13	17	simulation	simulation	NOUN
biomedich-33	13	18	phase	phase	NOUN
biomedich-33	13	19	to	to	PART
biomedich-33	13	20	determine	determine	VERB
biomedich-33	13	21	the	the	DET
biomedich-33	13	22	behavior	behavior	NOUN
biomedich-33	13	23	of	of	ADP
biomedich-33	13	24	the	the	DET
biomedich-33	13	25	system	system	NOUN
biomedich-33	13	26	in	in	ADP
biomedich-33	13	27	the	the	DET
biomedich-33	13	28	future	future	NOUN
biomedich-33	13	29	.	.	PUNCT
biomedich-33	14	1	keywords	keyword	NOUN
biomedich-33	14	2	:	:	PUNCT
biomedich-33	14	3	mathematical	mathematical	ADJ
biomedich-33	14	4	model	model	NOUN
biomedich-33	14	5	,	,	PUNCT
biomedich-33	14	6	the	the	DET
biomedich-33	14	7	interaction	interaction	NOUN
biomedich-33	14	8	of	of	ADP
biomedich-33	14	9	two	two	NUM
biomedich-33	14	10	populations	population	NOUN
biomedich-33	14	11	model	model	NOUN
biomedich-33	14	12	,	,	PUNCT
biomedich-33	14	13	stability	stability	NOUN
biomedich-33	14	14	introduction	introduction	NOUN
biomedich-33	14	15	mathematics	mathematic	NOUN
biomedich-33	14	16	has	have	VERB
biomedich-33	14	17	many	many	ADJ
biomedich-33	14	18	benefits	benefit	NOUN
biomedich-33	14	19	in	in	ADP
biomedich-33	14	20	the	the	DET
biomedich-33	14	21	areas	area	NOUN
biomedich-33	14	22	of	of	ADP
biomedich-33	14	23	science	science	NOUN
biomedich-33	14	24	and	and	CCONJ
biomedich-33	14	25	everyday	everyday	ADJ
biomedich-33	14	26	life	life	NOUN
biomedich-33	14	27	,	,	PUNCT
biomedich-33	14	28	especially	especially	ADV
biomedich-33	14	29	in	in	ADP
biomedich-33	14	30	the	the	DET
biomedich-33	14	31	field	field	NOUN
biomedich-33	14	32	of	of	ADP
biomedich-33	14	33	biology	biology	NOUN
biomedich-33	14	34	.	.	PUNCT
biomedich-33	15	1	according	accord	VERB
biomedich-33	15	2	widowati	widowati	ADV
biomedich-33	15	3	and	and	CCONJ
biomedich-33	15	4	sutimin	sutimin	NOUN
biomedich-33	15	5	(	(	PUNCT
biomedich-33	15	6	2007:1	2007:1	NOUN
biomedich-33	15	7	)	)	PUNCT
biomedich-33	15	8	.	.	PUNCT
biomedich-33	16	1	the	the	DET
biomedich-33	16	2	mathematical	mathematical	ADJ
biomedich-33	16	3	model	model	NOUN
biomedich-33	16	4	is	be	AUX
biomedich-33	16	5	a	a	DET
biomedich-33	16	6	mathematical	mathematical	ADJ
biomedich-33	16	7	field	field	NOUN
biomedich-33	16	8	that	that	PRON
biomedich-33	16	9	seeks	seek	VERB
biomedich-33	16	10	to	to	PART
biomedich-33	16	11	represent	represent	VERB
biomedich-33	16	12	and	and	CCONJ
biomedich-33	16	13	describe	describe	VERB
biomedich-33	16	14	physical	physical	ADJ
biomedich-33	16	15	systems	system	NOUN
biomedich-33	16	16	or	or	CCONJ
biomedich-33	16	17	a	a	DET
biomedich-33	16	18	problem	problem	NOUN
biomedich-33	16	19	in	in	ADP
biomedich-33	16	20	the	the	DET
biomedich-33	16	21	real	real	ADJ
biomedich-33	16	22	world	world	NOUN
biomedich-33	16	23	in	in	ADP
biomedich-33	16	24	a	a	DET
biomedich-33	16	25	mathematical	mathematical	ADJ
biomedich-33	16	26	statement	statement	NOUN
biomedich-33	16	27	,	,	PUNCT
biomedich-33	16	28	in	in	ADP
biomedich-33	16	29	order	order	NOUN
biomedich-33	16	30	to	to	PART
biomedich-33	16	31	obtain	obtain	VERB
biomedich-33	16	32	an	an	DET
biomedich-33	16	33	understanding	understanding	NOUN
biomedich-33	16	34	of	of	ADP
biomedich-33	16	35	these	these	DET
biomedich-33	16	36	real	real	ADJ
biomedich-33	16	37	world	world	NOUN
biomedich-33	16	38	problems	problem	NOUN
biomedich-33	16	39	to	to	PART
biomedich-33	16	40	be	be	AUX
biomedich-33	16	41	more	more	ADV
biomedich-33	16	42	precise	precise	ADJ
biomedich-33	16	43	.	.	PUNCT
biomedich-33	17	1	representation	representation	NOUN
biomedich-33	17	2	of	of	ADP
biomedich-33	17	3	this	this	DET
biomedich-33	17	4	process	process	NOUN
biomedich-33	17	5	is	be	AUX
biomedich-33	17	6	known	know	VERB
biomedich-33	17	7	as	as	ADP
biomedich-33	17	8	a	a	DET
biomedich-33	17	9	mathematical	mathematical	ADJ
biomedich-33	17	10	model	model	NOUN
biomedich-33	17	11	.	.	PUNCT
biomedich-33	18	1	construction	construction	NOUN
biomedich-33	18	2	analysis	analysis	NOUN
biomedich-33	18	3	and	and	CCONJ
biomedich-33	18	4	use	use	NOUN
biomedich-33	18	5	of	of	ADP
biomedich-33	18	6	mathematical	mathematical	ADJ
biomedich-33	18	7	models	model	NOUN
biomedich-33	18	8	is	be	AUX
biomedich-33	18	9	seen	see	VERB
biomedich-33	18	10	as	as	ADP
biomedich-33	18	11	one	one	NUM
biomedich-33	18	12	of	of	ADP
biomedich-33	18	13	the	the	DET
biomedich-33	18	14	most	most	ADV
biomedich-33	18	15	important	important	ADJ
biomedich-33	18	16	applications	application	NOUN
biomedich-33	18	17	of	of	ADP
biomedich-33	18	18	mathematics	mathematic	NOUN
biomedich-33	18	19	.	.	PUNCT
biomedich-33	19	1	have	have	AUX
biomedich-33	19	2	been	be	AUX
biomedich-33	19	3	many	many	ADJ
biomedich-33	19	4	studies	study	NOUN
biomedich-33	19	5	that	that	PRON
biomedich-33	19	6	discuss	discuss	VERB
biomedich-33	19	7	the	the	DET
biomedich-33	19	8	interaction	interaction	NOUN
biomedich-33	19	9	of	of	ADP
biomedich-33	19	10	two	two	NUM
biomedich-33	19	11	species	specie	NOUN
biomedich-33	19	12	or	or	CCONJ
biomedich-33	19	13	two	two	NUM
biomedich-33	19	14	populations	population	NOUN
biomedich-33	19	15	such	such	ADJ
biomedich-33	19	16	as	as	ADP
biomedich-33	19	17	predator	predator	NOUN
biomedich-33	19	18	-	-	PUNCT
biomedich-33	19	19	prey	prey	NOUN
biomedich-33	19	20	or	or	CCONJ
biomedich-33	19	21	predator	predator	NOUN
biomedich-33	19	22	–	–	PUNCT
biomedich-33	19	23	prey	prey	NOUN
biomedich-33	19	24	.	.	PUNCT
biomedich-33	20	1	unlike	unlike	ADP
biomedich-33	20	2	the	the	DET
biomedich-33	20	3	predator	predator	NOUN
biomedich-33	20	4	prey	prey	NOUN
biomedich-33	20	5	models	model	NOUN
biomedich-33	20	6	that	that	PRON
biomedich-33	20	7	describe	describe	VERB
biomedich-33	20	8	the	the	DET
biomedich-33	20	9	interaction	interaction	NOUN
biomedich-33	20	10	where	where	SCONJ
biomedich-33	20	11	a	a	DET
biomedich-33	20	12	predator	predator	NOUN
biomedich-33	20	13	as	as	ADP
biomedich-33	20	14	prey	prey	NOUN
biomedich-33	20	15	and	and	CCONJ
biomedich-33	20	16	prey	prey	NOUN
biomedich-33	20	17	as	as	ADP
biomedich-33	20	18	prey	prey	NOUN
biomedich-33	20	19	,	,	PUNCT
biomedich-33	20	20	predators	predator	NOUN
biomedich-33	20	21	will	will	AUX
biomedich-33	20	22	kill	kill	VERB
biomedich-33	20	23	its	its	PRON
biomedich-33	20	24	prey	prey	NOUN
biomedich-33	20	25	directly	directly	ADV
biomedich-33	20	26	in	in	ADP
biomedich-33	20	27	the	the	DET
biomedich-33	20	28	process	process	NOUN
biomedich-33	20	29	of	of	ADP
biomedich-33	20	30	natural	natural	ADJ
biomedich-33	20	31	selection	selection	NOUN
biomedich-33	20	32	.	.	PUNCT
biomedich-33	21	1	while	while	SCONJ
biomedich-33	21	2	in	in	ADP
biomedich-33	21	3	this	this	DET
biomedich-33	21	4	study	study	NOUN
biomedich-33	21	5	established	establish	VERB
biomedich-33	21	6	the	the	DET
biomedich-33	21	7	relationship	relationship	NOUN
biomedich-33	21	8	between	between	ADP
biomedich-33	21	9	host	host	NOUN
biomedich-33	21	10	and	and	CCONJ
biomedich-33	21	11	parasitoid	parasitoid	NOUN
biomedich-33	21	12	where	where	SCONJ
biomedich-33	21	13	the	the	DET
biomedich-33	21	14	host	host	NOUN
biomedich-33	21	15	does	do	AUX
biomedich-33	21	16	not	not	PART
biomedich-33	21	17	kill	kill	VERB
biomedich-33	21	18	quickly	quickly	ADV
biomedich-33	21	19	,	,	PUNCT
biomedich-33	21	20	but	but	CCONJ
biomedich-33	21	21	slowly	slowly	ADV
biomedich-33	21	22	with	with	ADP
biomedich-33	21	23	the	the	DET
biomedich-33	21	24	way	way	NOUN
biomedich-33	21	25	of	of	ADP
biomedich-33	21	26	life	life	NOUN
biomedich-33	21	27	of	of	ADP
biomedich-33	21	28	a	a	DET
biomedich-33	21	29	ride	ride	NOUN
biomedich-33	21	30	or	or	CCONJ
biomedich-33	21	31	take	take	VERB
biomedich-33	21	32	in	in	ADP
biomedich-33	21	33	nutrients	nutrient	NOUN
biomedich-33	21	34	from	from	ADP
biomedich-33	21	35	the	the	DET
biomedich-33	21	36	host	host	NOUN
biomedich-33	21	37	they	they	PRON
biomedich-33	21	38	occupy	occupy	VERB
biomedich-33	21	39	.	.	PUNCT
biomedich-33	22	1	this	this	DET
biomedich-33	22	2	research	research	NOUN
biomedich-33	22	3	is	be	AUX
biomedich-33	22	4	exciting	exciting	ADJ
biomedich-33	22	5	to	to	PART
biomedich-33	22	6	do	do	VERB
biomedich-33	22	7	because	because	SCONJ
biomedich-33	22	8	there	there	PRON
biomedich-33	22	9	are	be	VERB
biomedich-33	22	10	still	still	ADV
biomedich-33	22	11	few	few	ADJ
biomedich-33	22	12	studies	study	NOUN
biomedich-33	22	13	that	that	PRON
biomedich-33	22	14	discuss	discuss	VERB
biomedich-33	22	15	mathematical	mathematical	ADJ
biomedich-33	22	16	models	model	NOUN
biomedich-33	22	17	of	of	ADP
biomedich-33	22	18	host	host	NOUN
biomedich-33	22	19	and	and	CCONJ
biomedich-33	22	20	parasitoid	parasitoid	NOUN
biomedich-33	22	21	interactions	interaction	NOUN
biomedich-33	22	22	in	in	ADP
biomedich-33	22	23	particular	particular	ADJ
biomedich-33	22	24	discuss	discuss	VERB
biomedich-33	22	25	the	the	DET
biomedich-33	22	26	stability	stability	NOUN
biomedich-33	22	27	of	of	ADP
biomedich-33	22	28	the	the	DET
biomedich-33	22	29	system	system	NOUN
biomedich-33	22	30	.	.	PUNCT
biomedich-33	23	1	in	in	ADP
biomedich-33	23	2	this	this	DET
biomedich-33	23	3	study	study	NOUN
biomedich-33	23	4	,	,	PUNCT
biomedich-33	23	5	given	give	VERB
biomedich-33	23	6	how	how	SCONJ
biomedich-33	23	7	differential	differential	ADJ
biomedich-33	23	8	equations	equation	NOUN
biomedich-33	23	9	can	can	AUX
biomedich-33	23	10	be	be	AUX
biomedich-33	23	11	used	use	VERB
biomedich-33	23	12	to	to	PART
biomedich-33	23	13	construct	construct	VERB
biomedich-33	23	14	a	a	DET
biomedich-33	23	15	mathematical	mathematical	ADJ
biomedich-33	23	16	model	model	NOUN
biomedich-33	23	17	was	be	AUX
biomedich-33	23	18	particularly	particularly	ADV
biomedich-33	23	19	focused	focus	VERB
biomedich-33	23	20	on	on	ADP
biomedich-33	23	21	the	the	DET
biomedich-33	23	22	stability	stability	NOUN
biomedich-33	23	23	of	of	ADP
biomedich-33	23	24	differential	differential	ADJ
biomedich-33	23	25	equations	equation	NOUN
biomedich-33	23	26	mathematical	mathematical	ADJ
biomedich-33	23	27	model	model	NOUN
biomedich-33	23	28	of	of	ADP
biomedich-33	23	29	the	the	DET
biomedich-33	23	30	interaction	interaction	NOUN
biomedich-33	23	31	of	of	ADP
biomedich-33	23	32	the	the	DET
biomedich-33	23	33	two	two	NUM
biomedich-33	23	34	populations	population	NOUN
biomedich-33	23	35	that	that	PRON
biomedich-33	23	36	host	host	NOUN
biomedich-33	23	37	and	and	CCONJ
biomedich-33	23	38	parasitoid	parasitoid	NOUN
biomedich-33	23	39	.	.	PUNCT
biomedich-33	24	1	stability	stability	NOUN
biomedich-33	24	2	discussed	discuss	VERB
biomedich-33	24	3	in	in	ADP
biomedich-33	24	4	this	this	DET
biomedich-33	24	5	study	study	NOUN
biomedich-33	24	6	are	be	AUX
biomedich-33	24	7	stable	stable	ADJ
biomedich-33	24	8	equilibrium	equilibrium	NOUN
biomedich-33	24	9	points	point	NOUN
biomedich-33	24	10	are	be	AUX
biomedich-33	24	11	obtained	obtain	VERB
biomedich-33	24	12	from	from	ADP
biomedich-33	24	13	the	the	DET
biomedich-33	24	14	characteristic	characteristic	ADJ
biomedich-33	24	15	equation	equation	NOUN
biomedich-33	24	16	systems	system	NOUN
biomedich-33	24	17	of	of	ADP
biomedich-33	24	18	differential	differential	ADJ
biomedich-33	24	19	equations	equation	NOUN
biomedich-33	24	20	host	host	NOUN
biomedich-33	24	21	and	and	CCONJ
biomedich-33	24	22	parasitoid	parasitoid	NOUN
biomedich-33	24	23	interactions	interaction	NOUN
biomedich-33	24	24	.	.	PUNCT
biomedich-33	25	1	having	having	AUX
biomedich-33	25	2	obtained	obtain	VERB
biomedich-33	25	3	the	the	DET
biomedich-33	25	4	stable	stable	ADJ
biomedich-33	25	5	equilibrium	equilibrium	NOUN
biomedich-33	25	6	points	point	NOUN
biomedich-33	25	7	are	be	AUX
biomedich-33	25	8	then	then	ADV
biomedich-33	25	9	given	give	VERB
biomedich-33	25	10	a	a	DET
biomedich-33	25	11	simulation	simulation	NOUN
biomedich-33	25	12	to	to	PART
biomedich-33	25	13	determine	determine	VERB
biomedich-33	25	14	the	the	DET
biomedich-33	25	15	type	type	NOUN
biomedich-33	25	16	of	of	ADP
biomedich-33	25	17	stable	stable	ADJ
biomedich-33	25	18	equilibrium	equilibrium	NOUN
biomedich-33	25	19	points	point	NOUN
biomedich-33	25	20	using	use	VERB
biomedich-33	25	21	matlab	matlab	PROPN
biomedich-33	25	22	program	program	NOUN
biomedich-33	25	23	.	.	PUNCT
biomedich-33	26	1	type	type	VERB
biomedich-33	26	2	the	the	DET
biomedich-33	26	3	stability	stability	NOUN
biomedich-33	26	4	of	of	ADP
biomedich-33	26	5	the	the	DET
biomedich-33	26	6	equilibrium	equilibrium	NOUN
biomedich-33	26	7	point	point	NOUN
biomedich-33	26	8	is	be	AUX
biomedich-33	26	9	determined	determine	VERB
biomedich-33	26	10	on	on	ADP
biomedich-33	26	11	the	the	DET
biomedich-33	26	12	eigenvalues	eigenvalue	NOUN
biomedich-33	26	13	of	of	ADP
biomedich-33	26	14	the	the	DET
biomedich-33	26	15	jacobian	jacobian	ADJ
biomedich-33	26	16	matrix	matrix	NOUN
biomedich-33	26	17	.	.	PUNCT
biomedich-33	27	1	some	some	DET
biomedich-33	27	2	types	type	NOUN
biomedich-33	27	3	of	of	ADP
biomedich-33	27	4	stability	stability	NOUN
biomedich-33	27	5	based	base	VERB
biomedich-33	27	6	on	on	ADP
biomedich-33	27	7	the	the	DET
biomedich-33	27	8	roots	root	NOUN
biomedich-33	27	9	of	of	ADP
biomedich-33	27	10	the	the	DET
biomedich-33	27	11	characteristic	characteristic	ADJ
biomedich-33	27	12	equation	equation	NOUN
biomedich-33	27	13	is	be	AUX
biomedich-33	27	14	as	as	SCONJ
biomedich-33	27	15	follows	follow	VERB
biomedich-33	27	16	.	.	PUNCT
biomedich-33	28	1	if	if	SCONJ
biomedich-33	28	2	the	the	DET
biomedich-33	28	3	value	value	NOUN
biomedich-33	28	4	of	of	ADP
biomedich-33	28	5	the	the	DET
biomedich-33	28	6	roots	root	NOUN
biomedich-33	28	7	of	of	ADP
biomedich-33	28	8	the	the	DET
biomedich-33	28	9	characteristic	characteristic	ADJ
biomedich-33	28	10	equation	equation	NOUN
biomedich-33	28	11	real	real	ADJ
biomedich-33	28	12	,	,	PUNCT
biomedich-33	28	13	distinct	distinct	ADJ
biomedich-33	28	14	,	,	PUNCT
biomedich-33	28	15	and	and	CCONJ
biomedich-33	28	16	equally	equally	ADV
biomedich-33	28	17	a	a	DET
biomedich-33	28	18	sign	sign	NOUN
biomedich-33	28	19	of	of	ADP
biomedich-33	28	20	the	the	DET
biomedich-33	28	21	system	system	NOUN
biomedich-33	28	22	asymptotically	asymptotically	ADV
biomedich-33	28	23	stable	stable	ADJ
biomedich-33	28	24	equilibrium	equilibrium	NOUN
biomedich-33	28	25	point	point	NOUN
biomedich-33	28	26	.	.	PUNCT
biomedich-33	29	1	if	if	SCONJ
biomedich-33	29	2	the	the	DET
biomedich-33	29	3	value	value	NOUN
biomedich-33	29	4	of	of	ADP
biomedich-33	29	5	the	the	DET
biomedich-33	29	6	roots	root	NOUN
biomedich-33	29	7	of	of	ADP
biomedich-33	29	8	the	the	DET
biomedich-33	29	9	characteristic	characteristic	ADJ
biomedich-33	29	10	equation	equation	NOUN
biomedich-33	29	11	complex	complex	NOUN
biomedich-33	29	12	conjugate	conjugate	VERB
biomedich-33	29	13	purely	purely	ADV
biomedich-33	29	14	imaginary	imaginary	ADJ
biomedich-33	29	15	but	but	CCONJ
biomedich-33	29	16	not	not	PART
biomedich-33	29	17	the	the	DET
biomedich-33	29	18	asymptotically	asymptotically	ADV
biomedich-33	29	19	stable	stable	ADJ
biomedich-33	29	20	equilibrium	equilibrium	NOUN
biomedich-33	29	21	point	point	NOUN
biomedich-33	29	22	.	.	PUNCT
biomedich-33	30	1	if	if	SCONJ
biomedich-33	30	2	the	the	DET
biomedich-33	30	3	value	value	NOUN
biomedich-33	30	4	of	of	ADP
biomedich-33	30	5	the	the	DET
biomedich-33	30	6	roots	root	NOUN
biomedich-33	30	7	of	of	ADP
biomedich-33	30	8	the	the	DET
biomedich-33	30	9	characteristic	characteristic	ADJ
biomedich-33	30	10	equation	equation	NOUN
biomedich-33	30	11	real	real	ADJ
biomedich-33	30	12	,	,	PUNCT
biomedich-33	30	13	distinct	distinct	ADJ
biomedich-33	30	14	,	,	PUNCT
biomedich-33	30	15	and	and	CCONJ
biomedich-33	30	16	not	not	PART
biomedich-33	30	17	as	as	ADP
biomedich-33	30	18	a	a	DET
biomedich-33	30	19	sign	sign	NOUN
biomedich-33	30	20	of	of	ADP
biomedich-33	30	21	the	the	DET
biomedich-33	30	22	equilibrium	equilibrium	NOUN
biomedich-33	30	23	point	point	NOUN
biomedich-33	30	24	of	of	ADP
biomedich-33	30	25	the	the	DET
biomedich-33	30	26	system	system	NOUN
biomedich-33	30	27	is	be	AUX
biomedich-33	30	28	unstable	unstable	ADJ
biomedich-33	30	29	.	.	PUNCT
biomedich-33	31	1	if	if	SCONJ
biomedich-33	31	2	the	the	DET
biomedich-33	31	3	value	value	NOUN
biomedich-33	31	4	of	of	ADP
biomedich-33	31	5	the	the	DET
biomedich-33	31	6	roots	root	NOUN
biomedich-33	31	7	of	of	ADP
biomedich-33	31	8	the	the	DET
biomedich-33	31	9	characteristic	characteristic	ADJ
biomedich-33	31	10	equation	equation	NOUN
biomedich-33	31	11	purely	purely	ADV
biomedich-33	31	12	imaginary	imaginary	ADJ
biomedich-33	31	13	ekuilibrim	ekuilibrim	NOUN
biomedich-33	31	14	point	point	NOUN
biomedich-33	31	15	system	system	NOUN
biomedich-33	31	16	is	be	AUX
biomedich-33	31	17	stable	stable	ADJ
biomedich-33	31	18	but	but	CCONJ
biomedich-33	31	19	not	not	PART
biomedich-33	31	20	asymptotically	asymptotically	ADV
biomedich-33	31	21	stable	stable	ADJ
biomedich-33	31	22	.	.	PUNCT
biomedich-33	32	1	based	base	VERB
biomedich-33	32	2	on	on	ADP
biomedich-33	32	3	the	the	DET
biomedich-33	32	4	interaction	interaction	NOUN
biomedich-33	32	5	of	of	ADP
biomedich-33	32	6	host	host	NOUN
biomedich-33	32	7	and	and	CCONJ
biomedich-33	32	8	parasitoid	parasitoid	NOUN
biomedich-33	32	9	,	,	PUNCT
biomedich-33	32	10	a	a	DET
biomedich-33	32	11	mathematical	mathematical	ADJ
biomedich-33	32	12	model	model	NOUN
biomedich-33	32	13	in	in	ADP
biomedich-33	32	14	the	the	DET
biomedich-33	32	15	form	form	NOUN
biomedich-33	32	16	of	of	ADP
biomedich-33	32	17	differential	differential	ADJ
biomedich-33	32	18	equations	equation	NOUN
biomedich-33	32	19	and	and	CCONJ
biomedich-33	32	20	systems	system	NOUN
biomedich-33	32	21	of	of	ADP
biomedich-33	32	22	differential	differential	ADJ
biomedich-33	32	23	equations	equation	NOUN
biomedich-33	32	24	is	be	AUX
biomedich-33	32	25	a	a	DET
biomedich-33	32	26	suitable	suitable	ADJ
biomedich-33	32	27	way	way	NOUN
biomedich-33	32	28	to	to	PART
biomedich-33	32	29	describe	describe	VERB
biomedich-33	32	30	the	the	DET
biomedich-33	32	31	interaction	interaction	NOUN
biomedich-33	32	32	between	between	ADP
biomedich-33	32	33	host	host	NOUN
biomedich-33	32	34	and	and	CCONJ
biomedich-33	32	35	parasitoid	parasitoid	NOUN
biomedich-33	32	36	.	.	PUNCT
biomedich-33	33	1	parasitoid	parasitoid	NOUN
biomedich-33	33	2	is	be	AUX
biomedich-33	33	3	an	an	DET
biomedich-33	33	4	organism	organism	NOUN
biomedich-33	33	5	that	that	PRON
biomedich-33	33	6	spends	spend	VERB
biomedich-33	33	7	most	most	ADJ
biomedich-33	33	8	of	of	ADP
biomedich-33	33	9	his	his	PRON
biomedich-33	33	10	life	life	NOUN
biomedich-33	33	11	history	history	NOUN
biomedich-33	33	12	to	to	PART
biomedich-33	33	13	rely	rely	VERB
biomedich-33	33	14	on	on	ADP
biomedich-33	33	15	a	a	DET
biomedich-33	33	16	single	single	ADJ
biomedich-33	33	17	host	host	NOUN
biomedich-33	33	18	organism	organism	NOUN
biomedich-33	33	19	which	which	PRON
biomedich-33	33	20	eventually	eventually	ADV
biomedich-33	33	21	kills	kill	VERB
biomedich-33	33	22	(	(	PUNCT
biomedich-33	33	23	and	and	CCONJ
biomedich-33	33	24	often	often	ADV
biomedich-33	33	25	took	take	VERB
biomedich-33	33	26	food	food	NOUN
biomedich-33	33	27	)	)	PUNCT
biomedich-33	33	28	in	in	ADP
biomedich-33	33	29	the	the	DET
biomedich-33	33	30	process	process	NOUN
biomedich-33	33	31	.	.	PUNCT
biomedich-33	34	1	parasitoids	parasitoid	NOUN
biomedich-33	34	2	laid	lay	VERB
biomedich-33	34	3	eggs	egg	NOUN
biomedich-33	34	4	in	in	ADP
biomedich-33	34	5	the	the	DET
biomedich-33	34	6	body	body	NOUN
biomedich-33	34	7	of	of	ADP
biomedich-33	34	8	the	the	DET
biomedich-33	34	9	target	target	NOUN
biomedich-33	34	10	animal	animal	NOUN
biomedich-33	34	11	after	after	ADP
biomedich-33	34	12	hatching	hatch	VERB
biomedich-33	34	13	larvae	larvae	NOUN
biomedich-33	34	14	then	then	ADV
biomedich-33	34	15	sucking	suck	VERB
biomedich-33	34	16	the	the	DET
biomedich-33	34	17	bodily	bodily	ADJ
biomedich-33	34	18	fluids	fluid	NOUN
biomedich-33	34	19	of	of	ADP
biomedich-33	34	20	the	the	DET
biomedich-33	34	21	target	target	NOUN
biomedich-33	34	22	animal	animal	NOUN
biomedich-33	34	23	to	to	ADP
biomedich-33	34	24	death	death	NOUN
biomedich-33	34	25	when	when	SCONJ
biomedich-33	34	26	the	the	DET
biomedich-33	34	27	host	host	NOUN
biomedich-33	34	28	-	-	PUNCT
biomedich-33	34	29	parasitoid	parasitoid	NOUN
biomedich-33	34	30	find	find	VERB
biomedich-33	34	31	a	a	DET
biomedich-33	34	32	place	place	NOUN
biomedich-33	34	33	to	to	PART
biomedich-33	34	34	live	live	VERB
biomedich-33	34	35	,	,	PUNCT
biomedich-33	34	36	it	it	PRON
biomedich-33	34	37	must	must	AUX
biomedich-33	34	38	be	be	AUX
biomedich-33	34	39	appropriate	appropriate	ADJ
biomedich-33	34	40	host	host	NOUN
biomedich-33	34	41	physiology	physiology	NOUN
biomedich-33	34	42	10	10	NUM
biomedich-33	34	43	biology	biology	NOUN
biomedich-33	34	44	,	,	PUNCT
biomedich-33	34	45	medicine	medicine	NOUN
biomedich-33	34	46	,	,	PUNCT
biomedich-33	34	47	&	&	CCONJ
biomedich-33	34	48	natural	natural	ADJ
biomedich-33	34	49	product	product	NOUN
biomedich-33	34	50	chemistry	chemistry	NOUN
biomedich-33	34	51	5	5	NUM
biomedich-33	34	52	(	(	PUNCT
biomedich-33	34	53	1	1	NUM
biomedich-33	34	54	)	)	PUNCT
biomedich-33	34	55	,	,	PUNCT
biomedich-33	34	56	2016	2016	NUM
biomedich-33	34	57	:	:	PUNCT
biomedich-33	34	58	9	9	NUM
biomedich-33	34	59	-	-	SYM
biomedich-33	34	60	14	14	NUM
biomedich-33	34	61	and	and	CCONJ
biomedich-33	34	62	nutrition	nutrition	NOUN
biomedich-33	34	63	for	for	ADP
biomedich-33	34	64	the	the	DET
biomedich-33	34	65	successful	successful	ADJ
biomedich-33	34	66	development	development	NOUN
biomedich-33	34	67	of	of	ADP
biomedich-33	34	68	the	the	DET
biomedich-33	34	69	parasitoid	parasitoid	NOUN
biomedich-33	34	70	.	.	PUNCT
biomedich-33	35	1	the	the	DET
biomedich-33	35	2	goal	goal	NOUN
biomedich-33	35	3	in	in	ADP
biomedich-33	35	4	conducting	conduct	VERB
biomedich-33	35	5	this	this	DET
biomedich-33	35	6	study	study	NOUN
biomedich-33	35	7	was	be	AUX
biomedich-33	35	8	to	to	PART
biomedich-33	35	9	examine	examine	VERB
biomedich-33	35	10	how	how	SCONJ
biomedich-33	35	11	the	the	DET
biomedich-33	35	12	stability	stability	NOUN
biomedich-33	35	13	of	of	ADP
biomedich-33	35	14	differential	differential	ADJ
biomedich-33	35	15	equations	equation	NOUN
biomedich-33	35	16	of	of	ADP
biomedich-33	35	17	mathematical	mathematical	ADJ
biomedich-33	35	18	models	model	NOUN
biomedich-33	35	19	the	the	DET
biomedich-33	35	20	interaction	interaction	NOUN
biomedich-33	35	21	of	of	ADP
biomedich-33	35	22	two	two	NUM
biomedich-33	35	23	populations	population	NOUN
biomedich-33	35	24	(	(	PUNCT
biomedich-33	35	25	host	host	NOUN
biomedich-33	35	26	and	and	CCONJ
biomedich-33	35	27	parasitoids	parasitoid	NOUN
biomedich-33	35	28	)	)	PUNCT
biomedich-33	35	29	and	and	CCONJ
biomedich-33	35	30	examines	examine	VERB
biomedich-33	35	31	how	how	SCONJ
biomedich-33	35	32	the	the	DET
biomedich-33	35	33	stability	stability	NOUN
biomedich-33	35	34	of	of	ADP
biomedich-33	35	35	mathematical	mathematical	ADJ
biomedich-33	35	36	models	model	NOUN
biomedich-33	35	37	simulating	simulate	VERB
biomedich-33	35	38	the	the	DET
biomedich-33	35	39	interaction	interaction	NOUN
biomedich-33	35	40	of	of	ADP
biomedich-33	35	41	the	the	DET
biomedich-33	35	42	two	two	NUM
biomedich-33	35	43	populations	population	NOUN
biomedich-33	35	44	of	of	ADP
biomedich-33	35	45	differential	differential	ADJ
biomedich-33	35	46	equations	equation	NOUN
biomedich-33	35	47	(	(	PUNCT
biomedich-33	35	48	host	host	NOUN
biomedich-33	35	49	and	and	CCONJ
biomedich-33	35	50	parasitoid	parasitoid	NOUN
biomedich-33	35	51	)	)	PUNCT
biomedich-33	35	52	with	with	ADP
biomedich-33	35	53	matlab	matlab	PROPN
biomedich-33	35	54	program	program	PROPN
biomedich-33	35	55	.	.	PUNCT
biomedich-33	36	1	this	this	DET
biomedich-33	36	2	research	research	NOUN
biomedich-33	36	3	is	be	AUX
biomedich-33	36	4	the	the	DET
biomedich-33	36	5	development	development	NOUN
biomedich-33	36	6	of	of	ADP
biomedich-33	36	7	a	a	DET
biomedich-33	36	8	mathematical	mathematical	ADJ
biomedich-33	36	9	model	model	NOUN
biomedich-33	36	10	,	,	PUNCT
biomedich-33	36	11	especially	especially	ADV
biomedich-33	36	12	the	the	DET
biomedich-33	36	13	model	model	NOUN
biomedich-33	36	14	of	of	ADP
biomedich-33	36	15	differential	differential	ADJ
biomedich-33	36	16	equations	equation	NOUN
biomedich-33	36	17	formed	form	VERB
biomedich-33	36	18	from	from	ADP
biomedich-33	36	19	the	the	DET
biomedich-33	36	20	interaction	interaction	NOUN
biomedich-33	36	21	between	between	ADP
biomedich-33	36	22	host	host	NOUN
biomedich-33	36	23	and	and	CCONJ
biomedich-33	36	24	parasitoid	parasitoid	NOUN
biomedich-33	36	25	.	.	PUNCT
biomedich-33	37	1	applications	application	NOUN
biomedich-33	37	2	using	use	VERB
biomedich-33	37	3	matlab	matlab	PROPN
biomedich-33	37	4	help	help	NOUN
biomedich-33	37	5	to	to	PART
biomedich-33	37	6	find	find	VERB
biomedich-33	37	7	graph	graph	NOUN
biomedich-33	37	8	and	and	CCONJ
biomedich-33	37	9	phase	phase	NOUN
biomedich-33	37	10	portraits	portrait	NOUN
biomedich-33	37	11	of	of	ADP
biomedich-33	37	12	systems	system	NOUN
biomedich-33	37	13	of	of	ADP
biomedich-33	37	14	differential	differential	ADJ
biomedich-33	37	15	equations	equation	NOUN
biomedich-33	37	16	stability	stability	NOUN
biomedich-33	37	17	so	so	SCONJ
biomedich-33	37	18	they	they	PRON
biomedich-33	37	19	can	can	AUX
biomedich-33	37	20	know	know	VERB
biomedich-33	37	21	the	the	DET
biomedich-33	37	22	behavior	behavior	NOUN
biomedich-33	37	23	of	of	ADP
biomedich-33	37	24	the	the	DET
biomedich-33	37	25	system	system	NOUN
biomedich-33	37	26	in	in	ADP
biomedich-33	37	27	the	the	DET
biomedich-33	37	28	future	future	NOUN
biomedich-33	37	29	.	.	PUNCT
biomedich-33	38	1	as	as	ADP
biomedich-33	38	2	study	study	NOUN
biomedich-33	38	3	materials	material	NOUN
biomedich-33	38	4	for	for	ADP
biomedich-33	38	5	researchers	researcher	NOUN
biomedich-33	38	6	who	who	PRON
biomedich-33	38	7	like	like	VERB
biomedich-33	38	8	or	or	CCONJ
biomedich-33	38	9	are	be	AUX
biomedich-33	38	10	interested	interested	ADJ
biomedich-33	38	11	in	in	ADP
biomedich-33	38	12	the	the	DET
biomedich-33	38	13	development	development	NOUN
biomedich-33	38	14	of	of	ADP
biomedich-33	38	15	mathematical	mathematical	ADJ
biomedich-33	38	16	models	model	NOUN
biomedich-33	38	17	especially	especially	ADV
biomedich-33	38	18	differential	differential	VERB
biomedich-33	38	19	equations	equation	NOUN
biomedich-33	38	20	.	.	PUNCT
biomedich-33	39	1	the	the	DET
biomedich-33	39	2	interaction	interaction	NOUN
biomedich-33	39	3	of	of	ADP
biomedich-33	39	4	two	two	NUM
biomedich-33	39	5	populations	population	NOUN
biomedich-33	39	6	models	model	NOUN
biomedich-33	39	7	(	(	PUNCT
biomedich-33	39	8	predatorprey	predatorprey	NOUN
biomedich-33	39	9	)	)	PUNCT
biomedich-33	39	10	the	the	DET
biomedich-33	39	11	basic	basic	ADJ
biomedich-33	39	12	model	model	NOUN
biomedich-33	39	13	predator	predator	NOUN
biomedich-33	39	14	-	-	PUNCT
biomedich-33	39	15	prey	prey	NOUN
biomedich-33	39	16	or	or	CCONJ
biomedich-33	39	17	predator	predator	NOUN
biomedich-33	39	18	prey	prey	NOUN
biomedich-33	39	19	interaction	interaction	NOUN
biomedich-33	39	20	of	of	ADP
biomedich-33	39	21	the	the	DET
biomedich-33	39	22	two	two	NUM
biomedich-33	39	23	populations	population	NOUN
biomedich-33	39	24	is	be	AUX
biomedich-33	39	25	given	give	VERB
biomedich-33	39	26	by	by	ADP
biomedich-33	39	27	the	the	DET
biomedich-33	39	28	equation	equation	NOUN
biomedich-33	39	29	lotka	lotka	PROPN
biomedich-33	39	30	-	-	PUNCT
biomedich-33	39	31	volterra	volterra	PROPN
biomedich-33	39	32	(	(	PUNCT
biomedich-33	39	33	1926	1926	NUM
biomedich-33	39	34	)	)	PUNCT
biomedich-33	40	1	*	*	PUNCT
biomedich-33	40	2	dh	dh	PROPN
biomedich-33	40	3	mh	mh	PROPN
biomedich-33	40	4	a	a	DET
biomedich-33	40	5	hp	hp	X
biomedich-33	40	6	dt	dt	PUNCT
biomedich-33	40	7			PROPN
biomedich-33	40	8			NOUN
biomedich-33	40	9	*	*	PUNCT
biomedich-33	40	10	dp	dp	NOUN
biomedich-33	40	11	qp	qp	INTJ
biomedich-33	40	12	ra	ra	PROPN
biomedich-33	41	1	hp	hp	INTJ
biomedich-33	41	2	dt	dt	PUNCT
biomedich-33	42	1			PROPN
biomedich-33	42	2			PROPN
biomedich-33	42	3			VERB
biomedich-33	42	4	in	in	ADP
biomedich-33	42	5	this	this	DET
biomedich-33	42	6	equation	equation	NOUN
biomedich-33	42	7	ℎ	ℎ	NOUN
biomedich-33	42	8	is	be	AUX
biomedich-33	42	9	the	the	DET
biomedich-33	42	10	prey	prey	NOUN
biomedich-33	42	11	populations	population	NOUN
biomedich-33	42	12	and	and	CCONJ
biomedich-33	42	13	is	be	AUX
biomedich-33	42	14	a	a	DET
biomedich-33	42	15	predator	predator	NOUN
biomedich-33	42	16	population	population	NOUN
biomedich-33	42	17	,	,	PUNCT
biomedich-33	42	18	with	with	ADP
biomedich-33	42	19	t	t	PROPN
biomedich-33	42	20	is	be	AUX
biomedich-33	42	21	time	time	NOUN
biomedich-33	42	22	.	.	PUNCT
biomedich-33	43	1	the	the	DET
biomedich-33	43	2	equation	equation	NOUN
biomedich-33	43	3	states	state	VERB
biomedich-33	43	4	the	the	DET
biomedich-33	43	5	prey	prey	PROPN
biomedich-33	43	6	population	population	NOUN
biomedich-33	43	7	changes	change	VERB
biomedich-33	43	8	over	over	ADP
biomedich-33	43	9	time	time	NOUN
biomedich-33	43	10	and	and	CCONJ
biomedich-33	43	11	the	the	DET
biomedich-33	43	12	equation	equation	NOUN
biomedich-33	43	13	stated	state	VERB
biomedich-33	43	14	predator	predator	NOUN
biomedich-33	43	15	population	population	NOUN
biomedich-33	43	16	changes	change	NOUN
biomedich-33	43	17	over	over	ADP
biomedich-33	43	18	time	time	NOUN
biomedich-33	43	19	.	.	PUNCT
biomedich-33	44	1	so	so	ADV
biomedich-33	44	2	the	the	DET
biomedich-33	44	3	equation	equation	NOUN
biomedich-33	44	4	:	:	PUNCT
biomedich-33	45	1	*	*	PUNCT
biomedich-33	45	2	b	b	X
biomedich-33	45	3	sn	sn	PROPN
biomedich-33	45	4	a	a	DET
biomedich-33	45	5	ht	ht	ADJ
biomedich-33	45	6	(	(	PUNCT
biomedich-33	45	7	1	1	NUM
biomedich-33	45	8	)	)	PUNCT
biomedich-33	45	9	with	with	ADP
biomedich-33	45	10	captured	capture	VERB
biomedich-33	45	11	prey	prey	NOUN
biomedich-33	45	12	populations	population	NOUN
biomedich-33	45	13	of	of	ADP
biomedich-33	45	14	prey	prey	NOUN
biomedich-33	45	15	each	each	DET
biomedich-33	45	16	unit	unit	NOUN
biomedich-33	45	17	time	time	NOUN
biomedich-33	45	18	.	.	PUNCT
biomedich-33	46	1			NOUN
biomedich-33	47	1			PUNCT
biomedich-33	47	2	*	*	PUNCT
biomedich-33	47	3	1	1	NUM
biomedich-33	47	4	a	a	DET
biomedich-33	47	5	hf	hf	NOUN
biomedich-33	47	6	h	h	NOUN
biomedich-33	47	7	bh	bh	PROPN
biomedich-33	48	1			PROPN
biomedich-33	48	2			PROPN
biomedich-33	48	3	(	(	PUNCT
biomedich-33	48	4	2	2	NUM
biomedich-33	48	5	)	)	PUNCT
biomedich-33	48	6	with	with	ADP
biomedich-33	48	7	b	b	NOUN
biomedich-33	48	8	states	state	NOUN
biomedich-33	48	9	the	the	DET
biomedich-33	48	10	time	time	NOUN
biomedich-33	48	11	to	to	PART
biomedich-33	48	12	deal	deal	VERB
biomedich-33	48	13	with	with	ADP
biomedich-33	48	14	a	a	DET
biomedich-33	48	15	host	host	NOUN
biomedich-33	48	16	,	,	PUNCT
biomedich-33	48	17	f(h	f(h	PROPN
biomedich-33	48	18	)	)	PUNCT
biomedich-33	48	19	stating	state	VERB
biomedich-33	48	20	the	the	DET
biomedich-33	48	21	number	number	NOUN
biomedich-33	48	22	of	of	ADP
biomedich-33	48	23	hosts	host	NOUN
biomedich-33	48	24	attacked	attack	VERB
biomedich-33	48	25	parasitoid	parasitoid	NOUN
biomedich-33	48	26	per	per	ADP
biomedich-33	48	27	unit	unit	NOUN
biomedich-33	48	28	time	time	NOUN
biomedich-33	48	29	or	or	CCONJ
biomedich-33	48	30	the	the	DET
biomedich-33	48	31	number	number	NOUN
biomedich-33	48	32	of	of	ADP
biomedich-33	48	33	hosts	host	NOUN
biomedich-33	48	34	diparasit	diparasit	VERB
biomedich-33	48	35	,	,	PUNCT
biomedich-33	48	36	a	a	DET
biomedich-33	48	37	stated	state	VERB
biomedich-33	48	38	figures	figure	NOUN
biomedich-33	48	39	hosted	host	VERB
biomedich-33	48	40	by	by	ADP
biomedich-33	48	41	parasitoid	parasitoid	NOUN
biomedich-33	48	42	attack	attack	NOUN
biomedich-33	48	43	.	.	PUNCT
biomedich-33	49	1	equation	equation	NOUN
biomedich-33	49	2	(	(	PUNCT
biomedich-33	49	3	2	2	X
biomedich-33	49	4	)	)	PUNCT
biomedich-33	49	5	is	be	AUX
biomedich-33	49	6	holling	holle	VERB
biomedich-33	49	7	type	type	NOUN
biomedich-33	49	8	ii	ii	NOUN
biomedich-33	49	9	functional	functional	ADJ
biomedich-33	49	10	response	response	NOUN
biomedich-33	49	11	to	to	ADP
biomedich-33	49	12	the	the	DET
biomedich-33	49	13	host	host	NOUN
biomedich-33	49	14	parasitoid	parasitoid	NOUN
biomedich-33	49	15	interactions	interaction	NOUN
biomedich-33	49	16	.	.	PUNCT
biomedich-33	50	1	dynamic	dynamic	ADJ
biomedich-33	50	2	systems	system	NOUN
biomedich-33	50	3	in	in	ADP
biomedich-33	50	4	general	general	ADJ
biomedich-33	50	5	,	,	PUNCT
biomedich-33	50	6	the	the	DET
biomedich-33	50	7	dynamic	dynamic	ADJ
biomedich-33	50	8	system	system	NOUN
biomedich-33	50	9	is	be	AUX
biomedich-33	50	10	defined	define	VERB
biomedich-33	50	11	as	as	ADP
biomedich-33	50	12	a	a	DET
biomedich-33	50	13	real	real	ADJ
biomedich-33	50	14	problem	problem	NOUN
biomedich-33	50	15	that	that	PRON
biomedich-33	50	16	is	be	AUX
biomedich-33	50	17	modeled	model	VERB
biomedich-33	50	18	mathematically	mathematically	ADV
biomedich-33	50	19	using	use	VERB
biomedich-33	50	20	differential	differential	ADJ
biomedich-33	50	21	equations	equation	NOUN
biomedich-33	50	22	in	in	ADP
biomedich-33	50	23	the	the	DET
biomedich-33	50	24	equation	equation	NOUN
biomedich-33	50	25	which	which	PRON
biomedich-33	50	26	contains	contain	VERB
biomedich-33	50	27	parameters	parameter	NOUN
biomedich-33	50	28	that	that	PRON
biomedich-33	50	29	are	be	AUX
biomedich-33	50	30	interconnected	interconnect	VERB
biomedich-33	50	31	,	,	PUNCT
biomedich-33	50	32	as	as	ADV
biomedich-33	50	33	well	well	ADV
biomedich-33	50	34	as	as	ADP
biomedich-33	50	35	changes	change	NOUN
biomedich-33	50	36	in	in	ADP
biomedich-33	50	37	the	the	DET
biomedich-33	50	38	parameters	parameter	NOUN
biomedich-33	50	39	of	of	ADP
biomedich-33	50	40	the	the	DET
biomedich-33	50	41	equation	equation	NOUN
biomedich-33	50	42	will	will	AUX
biomedich-33	50	43	lead	lead	VERB
biomedich-33	50	44	to	to	ADP
biomedich-33	50	45	changes	change	NOUN
biomedich-33	50	46	in	in	ADP
biomedich-33	50	47	the	the	DET
biomedich-33	50	48	stability	stability	NOUN
biomedich-33	50	49	of	of	ADP
biomedich-33	50	50	the	the	DET
biomedich-33	50	51	equilibrium	equilibrium	NOUN
biomedich-33	50	52	point	point	NOUN
biomedich-33	50	53	.	.	PUNCT
biomedich-33	51	1	the	the	DET
biomedich-33	51	2	equilibrium	equilibrium	NOUN
biomedich-33	51	3	point	point	NOUN
biomedich-33	51	4	is	be	AUX
biomedich-33	51	5	one	one	NUM
biomedich-33	51	6	of	of	ADP
biomedich-33	51	7	the	the	DET
biomedich-33	51	8	key	key	ADJ
biomedich-33	51	9	concepts	concept	NOUN
biomedich-33	51	10	in	in	ADP
biomedich-33	51	11	a	a	DET
biomedich-33	51	12	dynamic	dynamic	ADJ
biomedich-33	51	13	system	system	NOUN
biomedich-33	51	14	.	.	PUNCT
biomedich-33	52	1	more	more	ADJ
biomedich-33	52	2	general	general	ADJ
biomedich-33	52	3	system	system	NOUN
biomedich-33	52	4	can	can	AUX
biomedich-33	52	5	be	be	AUX
biomedich-33	52	6	expressed	express	VERB
biomedich-33	52	7	in	in	ADP
biomedich-33	52	8	the	the	DET
biomedich-33	52	9	following	follow	VERB
biomedich-33	52	10	form.̇	form.̇	NOUN
biomedich-33	52	11	1	1	NUM
biomedich-33	52	12	=	=	SYM
biomedich-33	52	13	1	1	NUM
biomedich-33	52	14	(	(	PUNCT
biomedich-33	52	15	1	1	NUM
biomedich-33	52	16	,	,	PUNCT
biomedich-33	52	17	2	2	NUM
biomedich-33	52	18	,	,	PUNCT
biomedich-33	52	19	…	…	PUNCT
biomedich-33	52	20	,	,	PUNCT
biomedich-33	52	21	,	,	PUNCT
biomedich-33	52	22	)	)	PUNCT
biomedich-33	52	23	2̇	2̇	NUM
biomedich-33	52	24	=	=	SYM
biomedich-33	52	25	2	2	NUM
biomedich-33	52	26	(	(	PUNCT
biomedich-33	52	27	1	1	NUM
biomedich-33	52	28	,	,	PUNCT
biomedich-33	52	29	2	2	NUM
biomedich-33	52	30	,	,	PUNCT
biomedich-33	52	31	…	…	PUNCT
biomedich-33	52	32	,	,	PUNCT
biomedich-33	52	33	,	,	PUNCT
biomedich-33	52	34	)	)	PUNCT
biomedich-33	52	35	⋮̇	⋮̇	PROPN
biomedich-33	53	1	=	=	PRON
biomedich-33	53	2	(	(	PUNCT
biomedich-33	53	3	1	1	NUM
biomedich-33	53	4	,	,	PUNCT
biomedich-33	53	5	2	2	NUM
biomedich-33	53	6	,	,	PUNCT
biomedich-33	53	7	…	…	PUNCT
biomedich-33	53	8	,	,	PUNCT
biomedich-33	53	9	,	,	PUNCT
biomedich-33	53	10	)	)	PUNCT
biomedich-33	53	11	(	(	PUNCT
biomedich-33	53	12	3	3	X
biomedich-33	53	13	)	)	PUNCT
biomedich-33	53	14	with	with	ADP
biomedich-33	53	15	=	=	PUNCT
biomedich-33	53	16	(	(	PUNCT
biomedich-33	53	17	,	,	PUNCT
biomedich-33	53	18	,	,	PUNCT
biomedich-33	53	19	…	…	PUNCT
biomedich-33	53	20	,	,	PUNCT
biomedich-33	53	21	,	,	PUNCT
biomedich-33	53	22	)	)	PUNCT
biomedich-33	53	23	,	,	PUNCT
biomedich-33	53	24	=	=	SYM
biomedich-33	53	25	1,2	1,2	NUM
biomedich-33	53	26	,	,	PUNCT
biomedich-33	53	27	…	…	PUNCT
biomedich-33	53	28	,	,	PUNCT
biomedich-33	53	29	n	n	X
biomedich-33	53	30	is	be	AUX
biomedich-33	53	31	a	a	DET
biomedich-33	53	32	general	general	ADJ
biomedich-33	53	33	function	function	NOUN
biomedich-33	53	34	of	of	ADP
biomedich-33	53	35	,	,	PUNCT
biomedich-33	53	36	=	=	SYM
biomedich-33	53	37	1,2	1,2	NUM
biomedich-33	53	38	,	,	PUNCT
biomedich-33	53	39	…	…	PUNCT
biomedich-33	53	40	,	,	PUNCT
biomedich-33	53	41	and	and	CCONJ
biomedich-33	53	42	time	time	NOUN
biomedich-33	53	43	is	be	AUX
biomedich-33	53	44	t.	t.	PROPN
biomedich-33	53	45	the	the	DET
biomedich-33	53	46	system	system	NOUN
biomedich-33	53	47	can	can	AUX
biomedich-33	53	48	be	be	AUX
biomedich-33	53	49	further	far	ADV
biomedich-33	53	50	simplified	simplify	VERB
biomedich-33	53	51	into	into	ADP
biomedich-33	53	52	a	a	DET
biomedich-33	53	53	system	system	NOUN
biomedich-33	53	54	that	that	PRON
biomedich-33	53	55	is	be	AUX
biomedich-33	53	56	not	not	PART
biomedich-33	53	57	dependent	dependent	ADJ
biomedich-33	53	58	on	on	ADP
biomedich-33	53	59	the	the	DET
biomedich-33	53	60	function	function	NOUN
biomedich-33	53	61	of	of	ADP
biomedich-33	53	62	time	time	NOUN
biomedich-33	53	63	(	(	PUNCT
biomedich-33	53	64	autonomous	autonomous	ADJ
biomedich-33	53	65	system	system	NOUN
biomedich-33	53	66	)	)	PUNCT
biomedich-33	53	67	as	as	ADP
biomedich-33	53	68	followṡ	followṡ	X
biomedich-33	53	69	1	1	NUM
biomedich-33	53	70	=	=	SYM
biomedich-33	53	71	1	1	NUM
biomedich-33	53	72	(	(	PUNCT
biomedich-33	53	73	1	1	NUM
biomedich-33	53	74	,	,	PUNCT
biomedich-33	53	75	2	2	NUM
biomedich-33	53	76	,	,	PUNCT
biomedich-33	53	77	…	…	PUNCT
biomedich-33	53	78	,	,	PUNCT
biomedich-33	53	79	)	)	PUNCT
biomedich-33	53	80	2̇	2̇	NUM
biomedich-33	53	81	=	=	SYM
biomedich-33	53	82	2	2	NUM
biomedich-33	53	83	(	(	PUNCT
biomedich-33	53	84	1	1	NUM
biomedich-33	53	85	,	,	PUNCT
biomedich-33	53	86	2	2	NUM
biomedich-33	53	87	,	,	PUNCT
biomedich-33	53	88	…	…	PUNCT
biomedich-33	53	89	,	,	PUNCT
biomedich-33	53	90	)	)	PUNCT
biomedich-33	53	91	⋮̇	⋮̇	PROPN
biomedich-33	54	1	=	=	PRON
biomedich-33	54	2	(	(	PUNCT
biomedich-33	54	3	1	1	NUM
biomedich-33	54	4	,	,	PUNCT
biomedich-33	54	5	2	2	NUM
biomedich-33	54	6	,	,	PUNCT
biomedich-33	54	7	…	…	PUNCT
biomedich-33	54	8	,	,	PUNCT
biomedich-33	54	9	)	)	PUNCT
biomedich-33	54	10	(	(	PUNCT
biomedich-33	54	11	3	3	X
biomedich-33	54	12	)	)	PUNCT
biomedich-33	54	13	with	with	ADP
biomedich-33	54	14	=	=	PUNCT
biomedich-33	54	15	(	(	PUNCT
biomedich-33	54	16	,	,	PUNCT
biomedich-33	54	17	,	,	PUNCT
biomedich-33	54	18	…	…	PUNCT
biomedich-33	54	19	,	,	PUNCT
biomedich-33	54	20	,	,	PUNCT
biomedich-33	54	21	)	)	PUNCT
biomedich-33	54	22	,	,	PUNCT
biomedich-33	54	23	=	=	SYM
biomedich-33	54	24	1,2	1,2	NUM
biomedich-33	54	25	,	,	PUNCT
biomedich-33	54	26	…	…	PUNCT
biomedich-33	54	27	,	,	PUNCT
biomedich-33	54	28	n	n	X
biomedich-33	54	29	is	be	AUX
biomedich-33	54	30	a	a	DET
biomedich-33	54	31	function	function	NOUN
biomedich-33	54	32	that	that	PRON
biomedich-33	54	33	does	do	AUX
biomedich-33	54	34	not	not	PART
biomedich-33	54	35	depend	depend	VERB
biomedich-33	54	36	explicitly	explicitly	ADV
biomedich-33	54	37	on	on	ADP
biomedich-33	54	38	the	the	DET
biomedich-33	54	39	time	time	NOUN
biomedich-33	54	40	t	t	PROPN
biomedich-33	54	41	.	.	PUNCT
biomedich-33	55	1	the	the	DET
biomedich-33	55	2	definition	definition	NOUN
biomedich-33	55	3	of	of	ADP
biomedich-33	55	4	equilibrium	equilibrium	NOUN
biomedich-33	55	5	point	point	NOUN
biomedich-33	55	6	(	(	PUNCT
biomedich-33	55	7	perko	perko	NOUN
biomedich-33	55	8	,	,	PUNCT
biomedich-33	55	9	1991	1991	NUM
biomedich-33	55	10	)	)	PUNCT
biomedich-33	55	11	point	point	NOUN
biomedich-33	55	12	=	=	SYM
biomedich-33	55	13	(	(	PUNCT
biomedich-33	55	14	,	,	PUNCT
biomedich-33	55	15	,	,	PUNCT
biomedich-33	55	16	…	…	PUNCT
biomedich-33	55	17	,	,	PUNCT
biomedich-33	55	18	)	)	PUNCT
biomedich-33	55	19	∈	∈	PROPN
biomedich-33	55	20	called	call	VERB
biomedich-33	55	21	the	the	DET
biomedich-33	55	22	equilibrium	equilibrium	NOUN
biomedich-33	55	23	point	point	NOUN
biomedich-33	55	24	of	of	ADP
biomedich-33	55	25	(	(	PUNCT
biomedich-33	55	26	3	3	X
biomedich-33	55	27	)	)	PUNCT
biomedich-33	55	28	if	if	SCONJ
biomedich-33	55	29	(	(	PUNCT
biomedich-33	55	30	̅)̇	̅)̇	X
biomedich-33	55	31	=	=	SYM
biomedich-33	55	32	0	0	NUM
biomedich-33	55	33	,	,	PUNCT
biomedich-33	55	34	=	=	SYM
biomedich-33	55	35	1,2	1,2	NUM
biomedich-33	55	36	,	,	PUNCT
biomedich-33	55	37	…	…	PUNCT
biomedich-33	55	38	,	,	PUNCT
biomedich-33	55	39	stability	stability	NOUN
biomedich-33	55	40	of	of	ADP
biomedich-33	55	41	equilibrium	equilibrium	NOUN
biomedich-33	55	42	point	point	NOUN
biomedich-33	55	43	definition	definition	NOUN
biomedich-33	55	44	of	of	ADP
biomedich-33	55	45	local	local	ADJ
biomedich-33	55	46	stability	stability	NOUN
biomedich-33	55	47	the	the	DET
biomedich-33	55	48	equilibrium	equilibrium	NOUN
biomedich-33	55	49	point	point	NOUN
biomedich-33	55	50	∈	∈	PROPN
biomedich-33	55	51	on	on	ADP
biomedich-33	55	52	the	the	DET
biomedich-33	55	53	system	system	NOUN
biomedich-33	55	54	(	(	PUNCT
biomedich-33	55	55	3	3	X
biomedich-33	55	56	)	)	PUNCT
biomedich-33	55	57	said	say	VERB
biomedich-33	55	58	:	:	PUNCT
biomedich-33	55	59	1	1	X
biomedich-33	55	60	)	)	PUNCT
biomedich-33	55	61	local	local	ADJ
biomedich-33	55	62	stable	stable	NOUN
biomedich-33	55	63	if	if	SCONJ
biomedich-33	55	64	for	for	ADP
biomedich-33	55	65	every	every	DET
biomedich-33	55	66	å	å	PROPN
biomedich-33	55	67	>	>	X
biomedich-33	55	68	0	0	PUNCT
biomedich-33	56	1	there	there	ADV
biomedich-33	56	2	ä	ä	X
biomedich-33	56	3	>	>	X
biomedich-33	56	4	0	0	NUM
biomedich-33	56	5	such	such	ADJ
biomedich-33	56	6	that	that	PRON
biomedich-33	56	7	for	for	ADP
biomedich-33	56	8	every	every	DET
biomedich-33	56	9	solution	solution	NOUN
biomedich-33	56	10	(	(	PUNCT
biomedich-33	56	11	)	)	PUNCT
biomedich-33	56	12	that	that	PRON
biomedich-33	56	13	satisfies	satisfy	VERB
biomedich-33	56	14	‖	‖	PROPN
biomedich-33	56	15	(	(	PUNCT
biomedich-33	56	16	)	)	PUNCT
biomedich-33	56	17	−	−	NOUN
biomedich-33	57	1	̅‖	̅‖	PUNCT
biomedich-33	57	2	<	<	AUX
biomedich-33	57	3	ä	ä	X
biomedich-33	57	4	apply	apply	VERB
biomedich-33	57	5	‖	‖	PROPN
biomedich-33	57	6	(	(	PUNCT
biomedich-33	57	7	)	)	PUNCT
biomedich-33	57	8	−	−	NOUN
biomedich-33	58	1	̅‖	̅‖	X
biomedich-33	58	2	<	<	X
biomedich-33	58	3	å	å	PROPN
biomedich-33	58	4	for	for	ADP
biomedich-33	58	5	each	each	DET
biomedich-33	58	6	≥	≥	NOUN
biomedich-33	58	7	.	.	PUNCT
biomedich-33	59	1	2	2	X
biomedich-33	59	2	)	)	PUNCT
biomedich-33	59	3	local	local	ADJ
biomedich-33	59	4	asymptotically	asymptotically	ADV
biomedich-33	59	5	stable	stable	ADJ
biomedich-33	59	6	if	if	SCONJ
biomedich-33	59	7	the	the	DET
biomedich-33	59	8	equilibrium	equilibrium	NOUN
biomedich-33	59	9	point∈	point∈	PUNCT
biomedich-33	59	10	stable	stable	ADJ
biomedich-33	59	11	and	and	CCONJ
biomedich-33	59	12	there	there	ADV
biomedich-33	59	13	>	>	X
biomedich-33	59	14	0	0	PUNCT
biomedich-33	60	1	such	such	ADJ
biomedich-33	60	2	that	that	PRON
biomedich-33	60	3	for	for	ADP
biomedich-33	60	4	every	every	DET
biomedich-33	60	5	solution	solution	NOUN
biomedich-33	60	6	(	(	PUNCT
biomedich-33	60	7	)	)	PUNCT
biomedich-33	60	8	that	that	PRON
biomedich-33	60	9	satisfies	satisfy	VERB
biomedich-33	60	10	x	x	X
biomedich-33	60	11	‖	‖	PROPN
biomedich-33	60	12	(	(	PUNCT
biomedich-33	60	13	)	)	PUNCT
biomedich-33	60	14	−	−	NOUN
biomedich-33	61	1	̅‖	̅‖	PUNCT
biomedich-33	61	2	<	<	X
biomedich-33	61	3	applylim→	applylim→	PROPN
biomedich-33	61	4	(	(	PUNCT
biomedich-33	61	5	)	)	PUNCT
biomedich-33	61	6	=	=	SYM
biomedich-33	61	7	̅.	̅.	PROPN
biomedich-33	61	8	3	3	X
biomedich-33	61	9	)	)	PUNCT
biomedich-33	61	10	do	do	AUX
biomedich-33	61	11	not	not	PART
biomedich-33	61	12	be	be	AUX
biomedich-33	61	13	stable	stable	ADJ
biomedich-33	61	14	if	if	SCONJ
biomedich-33	61	15	the	the	DET
biomedich-33	61	16	equilibrium	equilibrium	NOUN
biomedich-33	61	17	point	point	NOUN
biomedich-33	61	18	∈	∈	PROPN
biomedich-33	61	19	does	do	AUX
biomedich-33	61	20	not	not	PART
biomedich-33	61	21	meet	meet	VERB
biomedich-33	61	22	1	1	NUM
biomedich-33	61	23	.	.	PUNCT
biomedich-33	62	1	below	below	ADV
biomedich-33	62	2	is	be	AUX
biomedich-33	62	3	given	give	VERB
biomedich-33	62	4	a	a	DET
biomedich-33	62	5	definition	definition	NOUN
biomedich-33	62	6	of	of	ADP
biomedich-33	62	7	linear	linear	PROPN
biomedich-33	62	8	and	and	CCONJ
biomedich-33	62	9	nonlinear	nonlinear	ADJ
biomedich-33	62	10	systems	system	NOUN
biomedich-33	62	11	granted	grant	VERB
biomedich-33	62	12	system(3	system(3	NOUN
biomedich-33	62	13	)	)	PUNCT
biomedich-33	62	14	,	,	PUNCT
biomedich-33	62	15	with	with	ADP
biomedich-33	62	16	⊆	⊆	NUM
biomedich-33	62	17	and	and	CCONJ
biomedich-33	62	18	:	:	PUNCT
biomedich-33	62	19	→	→	PUNCT
biomedich-33	62	20	continuous	continuous	ADJ
biomedich-33	62	21	function	function	NOUN
biomedich-33	62	22	on	on	ADP
biomedich-33	62	23	e.	e.	PROPN
biomedich-33	62	24	system	system	PROPN
biomedich-33	62	25	(	(	PUNCT
biomedich-33	62	26	3	3	X
biomedich-33	62	27	)	)	PUNCT
biomedich-33	62	28	is	be	AUX
biomedich-33	62	29	said	say	VERB
biomedich-33	62	30	to	to	PART
biomedich-33	62	31	be	be	AUX
biomedich-33	62	32	linear	linear	ADJ
biomedich-33	62	33	if	if	SCONJ
biomedich-33	62	34	,	,	PUNCT
biomedich-33	62	35	,	,	PUNCT
biomedich-33	62	36	…	…	PUNCT
biomedich-33	62	37	,	,	PUNCT
biomedich-33	62	38	each	each	DET
biomedich-33	62	39	linear	linear	VERB
biomedich-33	62	40	with	with	ADP
biomedich-33	62	41	respect	respect	NOUN
biomedich-33	62	42	,	,	PUNCT
biomedich-33	62	43	,	,	PUNCT
biomedich-33	62	44	…	…	PUNCT
biomedich-33	62	45	,	,	PUNCT
biomedich-33	62	46	.	.	PUNCT
biomedich-33	63	1	so	so	ADV
biomedich-33	63	2	the	the	DET
biomedich-33	63	3	system	system	NOUN
biomedich-33	63	4	(	(	PUNCT
biomedich-33	63	5	3	3	X
biomedich-33	63	6	)	)	PUNCT
biomedich-33	63	7	can	can	AUX
biomedich-33	63	8	be	be	AUX
biomedich-33	63	9	written	write	VERB
biomedich-33	63	10	in	in	ADP
biomedich-33	63	11	the	the	DET
biomedich-33	63	12	forṁ	forṁ	NOUN
biomedich-33	63	13	1	1	NUM
biomedich-33	63	14	=	=	SYM
biomedich-33	63	15	11	11	NUM
biomedich-33	63	16	1	1	NUM
biomedich-33	63	17	+	+	NUM
biomedich-33	63	18	12	12	NUM
biomedich-33	63	19	2+⋯+	2+⋯+	NUM
biomedich-33	63	20	1	1	NUM
biomedich-33	63	21	,	,	PUNCT
biomedich-33	63	22	̇	̇	VERB
biomedich-33	63	23	2	2	NUM
biomedich-33	63	24	=	=	SYM
biomedich-33	63	25	21	21	NUM
biomedich-33	63	26	1	1	NUM
biomedich-33	63	27	+	+	NUM
biomedich-33	63	28	22	22	NUM
biomedich-33	63	29	2+⋯+	2+⋯+	NUM
biomedich-33	63	30	2	2	NUM
biomedich-33	63	31	,	,	PUNCT
biomedich-33	63	32	̇	̇	VERB
biomedich-33	63	33	=	=	SYM
biomedich-33	63	34	1	1	NUM
biomedich-33	63	35	1	1	NUM
biomedich-33	63	36	+	+	NUM
biomedich-33	63	37	2	2	NUM
biomedich-33	63	38	2	2	NUM
biomedich-33	63	39	+	+	NOUN
biomedich-33	63	40	⋯+	⋯+	NOUN
biomedich-33	63	41	,	,	PUNCT
biomedich-33	63	42	(	(	PUNCT
biomedich-33	63	43	4	4	X
biomedich-33	63	44	)	)	PUNCT
biomedich-33	63	45	dewi	dewi	PROPN
biomedich-33	63	46	aggreini	aggreini	PROPN
biomedich-33	63	47	.	.	PUNCT
biomedich-33	64	1	–	–	PUNCT
biomedich-33	64	2	local	local	ADJ
biomedich-33	64	3	stability	stability	NOUN
biomedich-33	64	4	analysis	analysis	NOUN
biomedich-33	64	5	of	of	ADP
biomedich-33	64	6	a	a	DET
biomedich-33	64	7	mathematical	mathematical	ADJ
biomedich-33	64	8	model	model	NOUN
biomedich-33	64	9	of	of	ADP
biomedich-33	64	10	the	the	DET
biomedich-33	64	11	interaction	interaction	NOUN
biomedich-33	64	12	of	of	ADP
biomedich-33	64	13	…	…	PUNCT
biomedich-33	64	14	11	11	NUM
biomedich-33	64	15	with	with	ADP
biomedich-33	64	16	̇	̇	NOUN
biomedich-33	64	17	=	=	SYM
biomedich-33	64	18	,	,	PUNCT
biomedich-33	64	19	continuous	continuous	ADJ
biomedich-33	64	20	on	on	ADP
biomedich-33	64	21	≤	≤	ADJ
biomedich-33	64	22	≤	≤	NOUN
biomedich-33	64	23	,	,	PUNCT
biomedich-33	64	24	,	,	PUNCT
biomedich-33	64	25	,	,	PUNCT
biomedich-33	64	26	=	=	SYM
biomedich-33	64	27	1,2	1,2	NUM
biomedich-33	64	28	,	,	PUNCT
biomedich-33	64	29	…	…	PUNCT
biomedich-33	64	30	,	,	PUNCT
biomedich-33	64	31	.	.	PUNCT
biomedich-33	65	1	then	then	ADV
biomedich-33	65	2	the	the	DET
biomedich-33	65	3	system	system	NOUN
biomedich-33	65	4	(	(	PUNCT
biomedich-33	65	5	3	3	X
biomedich-33	65	6	)	)	PUNCT
biomedich-33	65	7	can	can	AUX
biomedich-33	65	8	be	be	AUX
biomedich-33	65	9	expressed	express	VERB
biomedich-33	65	10	in	in	ADP
biomedich-33	65	11	the	the	DET
biomedich-33	65	12	form	form	NOUN
biomedich-33	65	13	̇	̇	NOUN
biomedich-33	65	14	=	=	SYM
biomedich-33	65	15	̇	̇	NOUN
biomedich-33	65	16	,	,	PUNCT
biomedich-33	65	17	with	with	ADP
biomedich-33	65	18	∈	∈	PROPN
biomedich-33	65	19	,	,	PUNCT
biomedich-33	65	20	̇	̇	VERB
biomedich-33	65	21	=	=	SYM
biomedich-33	65	22	(	(	PUNCT
biomedich-33	65	23	̇	̇	PROPN
biomedich-33	65	24	,	,	PUNCT
biomedich-33	65	25	̇	̇	VERB
biomedich-33	65	26	,	,	PUNCT
biomedich-33	65	27	…	…	PUNCT
biomedich-33	65	28	,	,	PUNCT
biomedich-33	65	29	̇	̇	VERB
biomedich-33	65	30	)	)	PUNCT
biomedich-33	65	31	and	and	CCONJ
biomedich-33	65	32	a	a	DET
biomedich-33	65	33	matrix	matrix	NOUN
biomedich-33	65	34	size	size	NOUN
biomedich-33	65	35	nxn	nxn	PROPN
biomedich-33	65	36	.	.	PUNCT
biomedich-33	66	1	granted	grant	VERB
biomedich-33	66	2	system	system	NOUN
biomedich-33	66	3	(	(	PUNCT
biomedich-33	66	4	3	3	NUM
biomedich-33	66	5	)	)	PUNCT
biomedich-33	66	6	with	with	ADP
biomedich-33	66	7	⊆	⊆	NUM
biomedich-33	66	8	and	and	CCONJ
biomedich-33	66	9	:	:	PUNCT
biomedich-33	66	10	→	→	PUNCT
biomedich-33	66	11	continuous	continuous	ADJ
biomedich-33	66	12	function	function	NOUN
biomedich-33	66	13	on	on	ADP
biomedich-33	66	14	e.	e.	PROPN
biomedich-33	66	15	system	system	PROPN
biomedich-33	66	16	(	(	PUNCT
biomedich-33	66	17	3	3	X
biomedich-33	66	18	)	)	PUNCT
biomedich-33	66	19	is	be	AUX
biomedich-33	66	20	said	say	VERB
biomedich-33	66	21	to	to	PART
biomedich-33	66	22	be	be	AUX
biomedich-33	66	23	nonlinear	nonlinear	ADJ
biomedich-33	66	24	if	if	SCONJ
biomedich-33	66	25	there	there	PRON
biomedich-33	66	26	is	be	VERB
biomedich-33	66	27	i	i	PRON
biomedich-33	66	28	such	such	ADJ
biomedich-33	66	29	that	that	DET
biomedich-33	66	30	nonlinear	nonlinear	NOUN
biomedich-33	66	31	.	.	PUNCT
biomedich-33	67	1	the	the	DET
biomedich-33	67	2	nature	nature	NOUN
biomedich-33	67	3	of	of	ADP
biomedich-33	67	4	the	the	DET
biomedich-33	67	5	solution	solution	NOUN
biomedich-33	67	6	around	around	ADP
biomedich-33	67	7	the	the	DET
biomedich-33	67	8	equilibrium	equilibrium	NOUN
biomedich-33	67	9	point	point	NOUN
biomedich-33	67	10	of	of	ADP
biomedich-33	67	11	nonlinear	nonlinear	ADJ
biomedich-33	67	12	systems	system	NOUN
biomedich-33	67	13	(	(	PUNCT
biomedich-33	67	14	3	3	X
biomedich-33	67	15	)	)	PUNCT
biomedich-33	67	16	can	can	AUX
biomedich-33	67	17	be	be	AUX
biomedich-33	67	18	determined	determine	VERB
biomedich-33	67	19	through	through	ADP
biomedich-33	67	20	linearization	linearization	NOUN
biomedich-33	67	21	around	around	ADP
biomedich-33	67	22	the	the	DET
biomedich-33	67	23	equilibrium	equilibrium	NOUN
biomedich-33	67	24	point	point	NOUN
biomedich-33	67	25	of	of	ADP
biomedich-33	67	26	the	the	DET
biomedich-33	67	27	system	system	NOUN
biomedich-33	67	28	.	.	PUNCT
biomedich-33	68	1	definition	definition	NOUN
biomedich-33	68	2	2.1	2.1	NUM
biomedich-33	68	3	jacobian	jacobian	ADJ
biomedich-33	68	4	matrix	matrix	NOUN
biomedich-33	68	5	if	if	SCONJ
biomedich-33	68	6	the	the	DET
biomedich-33	68	7	function	function	NOUN
biomedich-33	68	8	belongs	belong	VERB
biomedich-33	68	9	=	=	SYM
biomedich-33	68	10	(	(	PUNCT
biomedich-33	68	11	,	,	PUNCT
biomedich-33	68	12	,	,	PUNCT
biomedich-33	68	13	…	…	PUNCT
biomedich-33	68	14	,	,	PUNCT
biomedich-33	68	15	)	)	PUNCT
biomedich-33	68	16	on	on	ADP
biomedich-33	68	17	the	the	DET
biomedich-33	68	18	system(3	system(3	NOUN
biomedich-33	68	19	)	)	PUNCT
biomedich-33	68	20	with	with	ADP
biomedich-33	68	21	∈	∈	PROPN
biomedich-33	68	22	(	(	PUNCT
biomedich-33	68	23	)	)	PUNCT
biomedich-33	68	24	,	,	PUNCT
biomedich-33	68	25	=	=	PUNCT
biomedich-33	68	26	1,2,3	1,2,3	NUM
biomedich-33	68	27	,	,	PUNCT
biomedich-33	68	28	…	…	PUNCT
biomedich-33	68	29	,	,	PUNCT
biomedich-33	68	30	.	.	PUNCT
biomedich-33	69	1	matriks	matriks	PROPN
biomedich-33	69	2	̅	̅	PROPN
biomedich-33	69	3	̅	̅	NOUN
biomedich-33	69	4	…	…	PUNCT
biomedich-33	69	5	̅̅	̅̅	NOUN
biomedich-33	69	6	̅	̅	NOUN
biomedich-33	69	7	…	…	PUNCT
biomedich-33	69	8	̅⋮	̅⋮	PUNCT
biomedich-33	69	9	⋮	⋮	NOUN
biomedich-33	69	10	⋱	⋱	PUNCT
biomedich-33	69	11	⋮̅	⋮̅	ADP
biomedich-33	69	12	̅	̅	NOUN
biomedich-33	69	13	…	…	PUNCT
biomedich-33	69	14	̅	̅	NOUN
biomedich-33	69	15	named	name	VERB
biomedich-33	69	16	jacobian	jacobian	ADJ
biomedich-33	69	17	matrix	matrix	NOUN
biomedich-33	69	18	of	of	ADP
biomedich-33	69	19	f	f	PROPN
biomedich-33	69	20	in	in	ADP
biomedich-33	69	21	point	point	NOUN
biomedich-33	69	22	̅.	̅.	PROPN
biomedich-33	69	23	(	(	PUNCT
biomedich-33	69	24	kocak	kocak	ADJ
biomedich-33	69	25	,	,	PUNCT
biomedich-33	69	26	1991	1991	NUM
biomedich-33	69	27	)	)	PUNCT
biomedich-33	69	28	.	.	PUNCT
biomedich-33	70	1	by	by	ADP
biomedich-33	70	2	using	use	VERB
biomedich-33	70	3	jacobian	jacobian	ADJ
biomedich-33	70	4	matrix	matrix	NOUN
biomedich-33	70	5	(	(	PUNCT
biomedich-33	70	6	̅	̅	NOUN
biomedich-33	70	7	)	)	PUNCT
biomedich-33	70	8	,	,	PUNCT
biomedich-33	70	9	point	point	VERB
biomedich-33	70	10	stability	stability	NOUN
biomedich-33	70	11	properties	property	NOUN
biomedich-33	70	12	ekuilibrim	ekuilibrim	VERB
biomedich-33	70	13	̅	̅	NOUN
biomedich-33	70	14	it	it	PRON
biomedich-33	70	15	can	can	AUX
biomedich-33	70	16	be	be	AUX
biomedich-33	70	17	seen	see	VERB
biomedich-33	70	18	as	as	ADV
biomedich-33	70	19	long	long	ADV
biomedich-33	70	20	as	as	SCONJ
biomedich-33	70	21	the	the	DET
biomedich-33	70	22	point	point	NOUN
biomedich-33	70	23	is	be	AUX
biomedich-33	70	24	hyperbolic	hyperbolic	ADJ
biomedich-33	70	25	eigenvalues	eigenvalue	NOUN
biomedich-33	70	26	and	and	CCONJ
biomedich-33	70	27	eigenvectors	eigenvector	NOUN
biomedich-33	70	28	formally	formally	ADV
biomedich-33	70	29	the	the	DET
biomedich-33	70	30	definition	definition	NOUN
biomedich-33	70	31	of	of	ADP
biomedich-33	70	32	eigenvalues	eigenvalue	NOUN
biomedich-33	70	33	and	and	CCONJ
biomedich-33	70	34	eigenvectors	eigenvector	NOUN
biomedich-33	70	35	is	be	AUX
biomedich-33	70	36	as	as	SCONJ
biomedich-33	70	37	follows	follow	VERB
biomedich-33	70	38	.	.	PUNCT
biomedich-33	71	1	definitions	definition	NOUN
biomedich-33	71	2	(	(	PUNCT
biomedich-33	71	3	anton	anton	NOUN
biomedich-33	71	4	and	and	CCONJ
biomedich-33	71	5	rorres	rorre	NOUN
biomedich-33	71	6	,	,	PUNCT
biomedich-33	71	7	2014	2014	NUM
biomedich-33	71	8	)	)	PUNCT
biomedich-33	71	9	let	let	VERB
biomedich-33	71	10	a	a	DET
biomedich-33	71	11	nxn	nxn	NOUN
biomedich-33	71	12	matrix	matrix	NOUN
biomedich-33	71	13	and	and	CCONJ
biomedich-33	71	14	∈	∈	PROPN
biomedich-33	71	15	,	,	PUNCT
biomedich-33	71	16	≠	≠	PROPN
biomedich-33	71	17	0	0	NUM
biomedich-33	71	18	.	.	PUNCT
biomedich-33	72	1	vector	vector	NOUN
biomedich-33	72	2	x	x	PUNCT
biomedich-33	72	3	is	be	AUX
biomedich-33	72	4	called	call	VERB
biomedich-33	72	5	an	an	DET
biomedich-33	72	6	eigenvector	eigenvector	NOUN
biomedich-33	72	7	/	/	SYM
biomedich-33	72	8	characteristic	characteristic	ADJ
biomedich-33	72	9	vector	vector	NOUN
biomedich-33	72	10	of	of	ADP
biomedich-33	72	11	a	a	DET
biomedich-33	72	12	if=	if=	PROPN
biomedich-33	72	13	ë	ë	NOUN
biomedich-33	72	14	for	for	ADP
biomedich-33	72	15	a	a	DET
biomedich-33	72	16	ë	ë	PROPN
biomedich-33	72	17	∈	∈	PROPN
biomedich-33	72	18	.	.	PUNCT
biomedich-33	73	1	numbers	number	NOUN
biomedich-33	73	2	ë	ë	X
biomedich-33	73	3	that	that	PRON
biomedich-33	73	4	satisfies	satisfy	VERB
biomedich-33	73	5	the	the	DET
biomedich-33	73	6	above	above	ADJ
biomedich-33	73	7	equation	equation	NOUN
biomedich-33	73	8	is	be	AUX
biomedich-33	73	9	called	call	VERB
biomedich-33	73	10	the	the	DET
biomedich-33	73	11	eigenvalues	eigenvalue	NOUN
biomedich-33	73	12	/	/	SYM
biomedich-33	73	13	value	value	NOUN
biomedich-33	73	14	characteristics	characteristic	NOUN
biomedich-33	73	15	.	.	PUNCT
biomedich-33	74	1	vector	vector	NOUN
biomedich-33	74	2	x	x	PUNCT
biomedich-33	74	3	is	be	AUX
biomedich-33	74	4	called	call	VERB
biomedich-33	74	5	an	an	DET
biomedich-33	74	6	eigenvector	eigenvector	NOUN
biomedich-33	74	7	corresponding	correspond	VERB
biomedich-33	74	8	to	to	ADP
biomedich-33	74	9	ë	ë	PROPN
biomedich-33	74	10	.	.	PUNCT
biomedich-33	75	1	stability	stability	NOUN
biomedich-33	75	2	analysis	analysis	NOUN
biomedich-33	75	3	of	of	ADP
biomedich-33	75	4	fixed	fix	VERB
biomedich-33	75	5	point	point	NOUN
biomedich-33	75	6	(	(	PUNCT
biomedich-33	75	7	boyce	boyce	PROPN
biomedich-33	75	8	&	&	CCONJ
biomedich-33	75	9	diprima	diprima	PROPN
biomedich-33	75	10	,	,	PUNCT
biomedich-33	75	11	2001	2001	NUM
biomedich-33	75	12	)	)	PUNCT
biomedich-33	75	13	consider	consider	VERB
biomedich-33	75	14	the	the	DET
biomedich-33	75	15	linear	linear	ADJ
biomedich-33	75	16	system	system	NOUN
biomedich-33	75	17	=	=	PUNCT
biomedich-33	75	18	with	with	ADP
biomedich-33	75	19	a	a	DET
biomedich-33	75	20	,	,	PUNCT
biomedich-33	75	21	b	b	NOUN
biomedich-33	75	22	,	,	PUNCT
biomedich-33	75	23	c	c	PROPN
biomedich-33	75	24	and	and	CCONJ
biomedich-33	75	25	d	d	PROPN
biomedich-33	75	26	constants	constant	NOUN
biomedich-33	75	27	(	(	PUNCT
biomedich-33	75	28	5	5	NUM
biomedich-33	75	29	)	)	PUNCT
biomedich-33	75	30	.	.	PUNCT
biomedich-33	76	1	linear	linear	PROPN
biomedich-33	76	2	systems	system	NOUN
biomedich-33	76	3	(	(	PUNCT
biomedich-33	76	4	5	5	X
biomedich-33	76	5	)	)	PUNCT
biomedich-33	76	6	commonly	commonly	ADV
biomedich-33	76	7	called	call	VERB
biomedich-33	76	8	"	"	PUNCT
biomedich-33	76	9	data	datum	NOUN
biomedich-33	76	10	model	model	NOUN
biomedich-33	76	11	species	specie	NOUN
biomedich-33	76	12	"	"	PUNCT
biomedich-33	76	13	in	in	ADP
biomedich-33	76	14	population	population	NOUN
biomedich-33	76	15	dynamics	dynamic	NOUN
biomedich-33	76	16	.	.	PUNCT
biomedich-33	77	1	if	if	SCONJ
biomedich-33	77	2	the	the	DET
biomedich-33	77	3	matrix	matrix	NOUN
biomedich-33	77	4	a	a	PRON
biomedich-33	77	5	=	=	PUNCT
biomedich-33	77	6	and	and	CCONJ
biomedich-33	77	7	such	such	ADJ
biomedich-33	77	8	λ	λ	NOUN
biomedich-33	77	9	are	be	AUX
biomedich-33	77	10	the	the	DET
biomedich-33	77	11	eigenvalues	eigenvalue	NOUN
biomedich-33	77	12	of	of	ADP
biomedich-33	77	13	matrix	matrix	NOUN
biomedich-33	77	14	a	a	PRON
biomedich-33	77	15	,	,	PUNCT
biomedich-33	77	16	then	then	ADV
biomedich-33	77	17	:	:	PUNCT
biomedich-33	77	18	a	a	DET
biomedich-33	77	19	=	=	NOUN
biomedich-33	77	20	a	a	DET
biomedich-33	77	21	↔	↔	PROPN
biomedich-33	77	22	−	−	NOUN
biomedich-33	78	1	ë	ë	INTJ
biomedich-33	78	2	−	−	PROPN
biomedich-33	79	1	ë	ë	PROPN
biomedich-33	79	2	=	=	NOUN
biomedich-33	79	3	00	00	NUM
biomedich-33	79	4	phase	phase	NOUN
biomedich-33	79	5	portrait	portrait	NOUN
biomedich-33	79	6	and	and	CCONJ
biomedich-33	79	7	linear	linear	PROPN
biomedich-33	79	8	systems	system	NOUN
biomedich-33	79	9	(	(	PUNCT
biomedich-33	79	10	boyce	boyce	PROPN
biomedich-33	79	11	&	&	CCONJ
biomedich-33	79	12	diprima	diprima	PROPN
biomedich-33	79	13	,	,	PUNCT
biomedich-33	79	14	2001	2001	NUM
biomedich-33	79	15	)	)	PUNCT
biomedich-33	79	16	belongs	belong	VERB
biomedich-33	79	17	to	to	ADP
biomedich-33	79	18	the	the	DET
biomedich-33	79	19	following	follow	VERB
biomedich-33	79	20	linear	linear	NOUN
biomedich-33	79	21	systeṁ	systeṁ	NOUN
biomedich-33	80	1	=	=	PUNCT
biomedich-33	80	2	(	(	PUNCT
biomedich-33	80	3	6	6	X
biomedich-33	80	4	)	)	PUNCT
biomedich-33	80	5	suppose	suppose	VERB
biomedich-33	80	6	det	det	PROPN
biomedich-33	80	7	(	(	PUNCT
biomedich-33	80	8	a	a	NOUN
biomedich-33	80	9	)	)	PUNCT
biomedich-33	80	10	≠	≠	PROPN
biomedich-33	80	11	0	0	NUM
biomedich-33	80	12	,	,	PUNCT
biomedich-33	80	13	so	so	ADV
biomedich-33	80	14	x	x	PUNCT
biomedich-33	80	15	are	be	AUX
biomedich-33	80	16	the	the	DET
biomedich-33	80	17	eigenvalues	eigenvalue	NOUN
biomedich-33	80	18	of	of	ADP
biomedich-33	80	19	matrix	matrix	NOUN
biomedich-33	80	20	a	a	PRON
biomedich-33	80	21	,	,	PUNCT
biomedich-33	80	22	ie	ie	X
biomedich-33	80	23	ë	ë	PROPN
biomedich-33	80	24	is	be	AUX
biomedich-33	80	25	the	the	DET
biomedich-33	80	26	root	root	NOUN
biomedich-33	80	27	of	of	ADP
biomedich-33	80	28	the	the	DET
biomedich-33	80	29	characteristic	characteristic	ADJ
biomedich-33	80	30	equationë	equationë	NOUN
biomedich-33	81	1	−	−	PROPN
biomedich-33	81	2	=	=	SYM
biomedich-33	81	3	0	0	NUM
biomedich-33	81	4	(	(	PUNCT
biomedich-33	81	5	7	7	NUM
biomedich-33	81	6	)	)	PUNCT
biomedich-33	81	7	images	image	NOUN
biomedich-33	81	8	phase	phase	NOUN
biomedich-33	81	9	and	and	CCONJ
biomedich-33	81	10	the	the	DET
biomedich-33	81	11	system	system	NOUN
biomedich-33	81	12	(	(	PUNCT
biomedich-33	81	13	6	6	NUM
biomedich-33	81	14	)	)	PUNCT
biomedich-33	81	15	is	be	AUX
biomedich-33	81	16	almost	almost	ADV
biomedich-33	81	17	entirely	entirely	ADV
biomedich-33	81	18	dependent	dependent	ADJ
biomedich-33	81	19	on	on	ADP
biomedich-33	81	20	its	its	PRON
biomedich-33	81	21	eigenvaluesfigure	eigenvaluesfigure	NOUN
biomedich-33	81	22	.	.	PUNCT
biomedich-33	82	1	2	2	NUM
biomedich-33	82	2	shows	show	VERB
biomedich-33	82	3	the	the	DET
biomedich-33	82	4	absorbance	absorbance	NOUN
biomedich-33	82	5	graphic	graphic	NOUN
biomedich-33	82	6	of	of	ADP
biomedich-33	82	7	plot	plot	NOUN
biomedich-33	82	8	toward	toward	ADP
biomedich-33	82	9	thin	thin	ADJ
biomedich-33	82	10	film	film	NOUN
biomedich-33	82	11	wavelength	wavelength	NOUN
biomedich-33	82	12	of	of	ADP
biomedich-33	82	13	tio2	tio2	NOUN
biomedich-33	82	14	that	that	PRON
biomedich-33	82	15	has	have	AUX
biomedich-33	82	16	been	be	AUX
biomedich-33	82	17	soaked	soak	VERB
biomedich-33	82	18	in	in	ADP
biomedich-33	82	19	dye	dye	NOUN
biomedich-33	82	20	with	with	ADP
biomedich-33	82	21	variation	variation	NOUN
biomedich-33	82	22	of	of	ADP
biomedich-33	82	23	temperature	temperature	NOUN
biomedich-33	82	24	extract	extract	NOUN
biomedich-33	82	25	.	.	PUNCT
biomedich-33	83	1	1	1	X
biomedich-33	83	2	.	.	X
biomedich-33	83	3	if	if	SCONJ
biomedich-33	83	4	the	the	PRON
biomedich-33	83	5	eigenvalues	eigenvalue	VERB
biomedich-33	83	6	different	different	ADJ
biomedich-33	83	7	real	real	ADJ
biomedich-33	83	8	negative	negative	NOUN
biomedich-33	83	9	is	be	AUX
biomedich-33	83	10	called	call	VERB
biomedich-33	83	11	a	a	DET
biomedich-33	83	12	node	node	NOUN
biomedich-33	83	13	,	,	PUNCT
biomedich-33	83	14	all	all	DET
biomedich-33	83	15	trajectories	trajectory	NOUN
biomedich-33	83	16	toward	toward	ADP
biomedich-33	83	17	zero	zero	NUM
biomedich-33	83	18	,	,	PUNCT
biomedich-33	83	19	which	which	PRON
biomedich-33	83	20	means	mean	VERB
biomedich-33	83	21	no	no	DET
biomedich-33	83	22	points	point	NOUN
biomedich-33	83	23	of	of	ADP
biomedich-33	83	24	zero	zero	NUM
biomedich-33	83	25	is	be	AUX
biomedich-33	83	26	stable	stable	ADJ
biomedich-33	83	27	.	.	PUNCT
biomedich-33	84	1	2	2	X
biomedich-33	84	2	.	.	X
biomedich-33	84	3	if	if	SCONJ
biomedich-33	84	4	the	the	DET
biomedich-33	84	5	eigenvalues	eigenvalue	NOUN
biomedich-33	84	6	of	of	ADP
biomedich-33	84	7	positive	positive	ADJ
biomedich-33	84	8	reals	real	NOUN
biomedich-33	84	9	different	different	ADJ
biomedich-33	84	10	then	then	ADV
biomedich-33	84	11	called	call	VERB
biomedich-33	84	12	nodal	nodal	NOUN
biomedich-33	84	13	source	source	NOUN
biomedich-33	84	14	,	,	PUNCT
biomedich-33	84	15	all	all	DET
biomedich-33	84	16	trajectories	trajectory	NOUN
biomedich-33	84	17	out	out	ADP
biomedich-33	84	18	of	of	ADP
biomedich-33	84	19	the	the	DET
biomedich-33	84	20	points	point	NOUN
biomedich-33	84	21	become	become	VERB
biomedich-33	84	22	unstable	unstable	ADJ
biomedich-33	84	23	3	3	NUM
biomedich-33	84	24	.	.	PUNCT
biomedich-33	85	1	if	if	SCONJ
biomedich-33	85	2	the	the	DET
biomedich-33	85	3	eigenvalues	eigenvalue	NOUN
biomedich-33	85	4	of	of	ADP
biomedich-33	85	5	different	different	ADJ
biomedich-33	85	6	real	real	ADJ
biomedich-33	85	7	opposite	opposite	NOUN
biomedich-33	85	8	in	in	ADP
biomedich-33	85	9	sign	sign	NOUN
biomedich-33	85	10	,	,	PUNCT
biomedich-33	85	11	with	with	ADP
biomedich-33	85	12	this	this	DET
biomedich-33	85	13	so	so	ADV
biomedich-33	85	14	-	-	PUNCT
biomedich-33	85	15	called	call	VERB
biomedich-33	85	16	saddle	saddle	NOUN
biomedich-33	85	17	point	point	NOUN
biomedich-33	85	18	,	,	PUNCT
biomedich-33	85	19	all	all	DET
biomedich-33	85	20	trajectories	trajectory	NOUN
biomedich-33	85	21	will	will	AUX
biomedich-33	85	22	be	be	AUX
biomedich-33	85	23	away	away	ADV
biomedich-33	85	24	to	to	PART
biomedich-33	85	25	infinity	infinity	NOUN
biomedich-33	85	26	along	along	ADP
biomedich-33	85	27	the	the	DET
biomedich-33	85	28	eigenvectors	eigenvector	NOUN
biomedich-33	85	29	,	,	PUNCT
biomedich-33	85	30	this	this	PRON
biomedich-33	85	31	resulted	result	VERB
biomedich-33	85	32	critical	critical	ADJ
biomedich-33	85	33	point	point	NOUN
biomedich-33	85	34	will	will	AUX
biomedich-33	85	35	always	always	ADV
biomedich-33	85	36	be	be	AUX
biomedich-33	85	37	unstable	unstable	ADJ
biomedich-33	85	38	.	.	PUNCT
biomedich-33	86	1	4	4	X
biomedich-33	86	2	.	.	X
biomedich-33	86	3	if	if	SCONJ
biomedich-33	86	4	the	the	DET
biomedich-33	86	5	eigenvalues	eigenvalue	NOUN
biomedich-33	86	6	of	of	ADP
biomedich-33	86	7	different	different	ADJ
biomedich-33	86	8	real	real	ADJ
biomedich-33	86	9	opposite	opposite	NOUN
biomedich-33	86	10	in	in	ADP
biomedich-33	86	11	sign	sign	NOUN
biomedich-33	86	12	,	,	PUNCT
biomedich-33	86	13	with	with	ADP
biomedich-33	86	14	this	this	DET
biomedich-33	86	15	so	so	ADV
biomedich-33	86	16	-	-	PUNCT
biomedich-33	86	17	called	call	VERB
biomedich-33	86	18	saddle	saddle	NOUN
biomedich-33	86	19	point	point	NOUN
biomedich-33	86	20	,	,	PUNCT
biomedich-33	86	21	all	all	DET
biomedich-33	86	22	trajectories	trajectory	NOUN
biomedich-33	86	23	will	will	AUX
biomedich-33	86	24	be	be	AUX
biomedich-33	86	25	away	away	ADV
biomedich-33	86	26	to	to	PART
biomedich-33	86	27	infinity	infinity	NOUN
biomedich-33	86	28	along	along	ADP
biomedich-33	86	29	the	the	DET
biomedich-33	86	30	eigenvectors	eigenvector	NOUN
biomedich-33	86	31	,	,	PUNCT
biomedich-33	86	32	this	this	PRON
biomedich-33	86	33	resulted	result	VERB
biomedich-33	86	34	critical	critical	ADJ
biomedich-33	86	35	point	point	NOUN
biomedich-33	86	36	will	will	AUX
biomedich-33	86	37	always	always	ADV
biomedich-33	86	38	be	be	AUX
biomedich-33	86	39	unstable	unstable	ADJ
biomedich-33	86	40	.	.	PUNCT
biomedich-33	87	1	5	5	X
biomedich-33	87	2	.	.	X
biomedich-33	87	3	if	if	SCONJ
biomedich-33	87	4	the	the	DET
biomedich-33	87	5	eigenvalues	eigenvalue	NOUN
biomedich-33	87	6	equal	equal	ADJ
biomedich-33	87	7	,	,	PUNCT
biomedich-33	87	8	with	with	ADP
biomedich-33	87	9	two	two	NUM
biomedich-33	87	10	linearly	linearly	ADV
biomedich-33	87	11	independent	independent	ADJ
biomedich-33	87	12	eigenvectors	eigenvector	NOUN
biomedich-33	87	13	,	,	PUNCT
biomedich-33	87	14	you	you	PRON
biomedich-33	87	15	will	will	AUX
biomedich-33	87	16	get	get	VERB
biomedich-33	87	17	what	what	PRON
biomedich-33	87	18	is	be	AUX
biomedich-33	87	19	called	call	VERB
biomedich-33	87	20	a	a	DET
biomedich-33	87	21	star	star	NOUN
biomedich-33	87	22	point	point	NOUN
biomedich-33	87	23	or	or	CCONJ
biomedich-33	87	24	propernode	propernode	ADJ
biomedich-33	87	25	,	,	PUNCT
biomedich-33	87	26	when	when	SCONJ
biomedich-33	87	27	λ	λ	X
biomedich-33	87	28	<	<	X
biomedich-33	87	29	0	0	X
biomedich-33	88	1	then	then	ADV
biomedich-33	88	2	the	the	DET
biomedich-33	88	3	point	point	NOUN
biomedich-33	88	4	of	of	ADP
biomedich-33	88	5	criticism	criticism	NOUN
biomedich-33	88	6	would	would	AUX
biomedich-33	88	7	be	be	AUX
biomedich-33	88	8	stable	stable	ADJ
biomedich-33	88	9	and	and	CCONJ
biomedich-33	88	10	unstable	unstable	ADJ
biomedich-33	88	11	for	for	ADP
biomedich-33	88	12	λ	λ	PROPN
biomedich-33	88	13	>	>	X
biomedich-33	88	14	0	0	NUM
biomedich-33	88	15	.	.	PROPN
biomedich-33	89	1	6	6	NUM
biomedich-33	89	2	.	.	PUNCT
biomedich-33	90	1	if	if	SCONJ
biomedich-33	90	2	the	the	DET
biomedich-33	90	3	eigenvalues	eigenvalue	NOUN
biomedich-33	90	4	equal	equal	ADJ
biomedich-33	90	5	to	to	ADP
biomedich-33	90	6	the	the	DET
biomedich-33	90	7	eigenvectors	eigenvector	NOUN
biomedich-33	90	8	will	will	AUX
biomedich-33	90	9	be	be	AUX
biomedich-33	90	10	obtained	obtain	VERB
biomedich-33	90	11	by	by	ADP
biomedich-33	90	12	so	so	ADV
biomedich-33	90	13	-	-	PUNCT
biomedich-33	90	14	called	call	VERB
biomedich-33	90	15	improper	improper	ADJ
biomedich-33	90	16	node	node	NOUN
biomedich-33	90	17	,	,	PUNCT
biomedich-33	90	18	when	when	SCONJ
biomedich-33	90	19	λ	λ	X
biomedich-33	90	20	<	<	X
biomedich-33	90	21	0	0	X
biomedich-33	91	1	then	then	ADV
biomedich-33	91	2	the	the	DET
biomedich-33	91	3	point	point	NOUN
biomedich-33	91	4	of	of	ADP
biomedich-33	91	5	criticism	criticism	NOUN
biomedich-33	91	6	would	would	AUX
biomedich-33	91	7	be	be	AUX
biomedich-33	91	8	stable	stable	ADJ
biomedich-33	91	9	and	and	CCONJ
biomedich-33	91	10	directions	direction	NOUN
biomedich-33	91	11	trajectory	trajectory	NOUN
biomedich-33	91	12	will	will	AUX
biomedich-33	91	13	go	go	VERB
biomedich-33	91	14	to	to	ADP
biomedich-33	91	15	zero	zero	NUM
biomedich-33	91	16	.	.	PUNCT
biomedich-33	92	1	whereas	whereas	SCONJ
biomedich-33	92	2	for	for	SCONJ
biomedich-33	92	3	λ	λ	PROPN
biomedich-33	92	4	>	>	SYM
biomedich-33	92	5	0	0	NUM
biomedich-33	92	6	directions	direction	NOUN
biomedich-33	92	7	trajectory	trajectory	NOUN
biomedich-33	92	8	going	go	VERB
biomedich-33	92	9	out	out	ADP
biomedich-33	92	10	leaving	leave	VERB
biomedich-33	92	11	the	the	DET
biomedich-33	92	12	zero	zero	NUM
biomedich-33	92	13	point	point	NOUN
biomedich-33	92	14	and	and	CCONJ
biomedich-33	92	15	the	the	DET
biomedich-33	92	16	point	point	NOUN
biomedich-33	92	17	of	of	ADP
biomedich-33	92	18	criticism	criticism	NOUN
biomedich-33	92	19	would	would	AUX
biomedich-33	92	20	be	be	AUX
biomedich-33	92	21	unstable	unstable	ADJ
biomedich-33	92	22	.	.	PUNCT
biomedich-33	93	1	if	if	SCONJ
biomedich-33	93	2	the	the	DET
biomedich-33	93	3	eigenvalues	eigenvalue	NOUN
biomedich-33	93	4	are	be	AUX
biomedich-33	93	5	complex	complex	ADJ
biomedich-33	93	6	numbers	number	NOUN
biomedich-33	93	7	ë±	ë±	X
biomedich-33	93	8	=	=	SYM
biomedich-33	93	9	±	±	PROPN
biomedich-33	93	10	with	with	ADP
biomedich-33	93	11	<	<	X
biomedich-33	93	12	0	0	NUM
biomedich-33	93	13	,	,	PUNCT
biomedich-33	93	14	it	it	PRON
biomedich-33	93	15	will	will	AUX
biomedich-33	93	16	produce	produce	VERB
biomedich-33	93	17	a	a	DET
biomedich-33	93	18	stable	stable	ADJ
biomedich-33	93	19	behavior	behavior	NOUN
biomedich-33	93	20	called	call	VERB
biomedich-33	93	21	spiral	spiral	ADJ
biomedich-33	93	22	,	,	PUNCT
biomedich-33	93	23	7	7	X
biomedich-33	93	24	.	.	PUNCT
biomedich-33	94	1	if	if	SCONJ
biomedich-33	94	2	the	the	DET
biomedich-33	94	3	eigenvalues	eigenvalue	NOUN
biomedich-33	94	4	are	be	AUX
biomedich-33	94	5	complex	complex	ADJ
biomedich-33	94	6	numbers	number	NOUN
biomedich-33	94	7	ë±	ë±	X
biomedich-33	94	8	=	=	SYM
biomedich-33	94	9	±	±	PROPN
biomedich-33	94	10	dengan	dengan	PROPN
biomedich-33	94	11	>	>	X
biomedich-33	94	12	0	0	PROPN
biomedich-33	94	13	,	,	PUNCT
biomedich-33	94	14	it	it	PRON
biomedich-33	94	15	will	will	AUX
biomedich-33	94	16	generate	generate	VERB
biomedich-33	94	17	a	a	DET
biomedich-33	94	18	behavior	behavior	NOUN
biomedich-33	94	19	called	call	VERB
biomedich-33	94	20	unstable	unstable	ADJ
biomedich-33	94	21	spiral	spiral	NOUN
biomedich-33	94	22	,	,	PUNCT
biomedich-33	94	23	all	all	DET
biomedich-33	94	24	trajectories	trajectory	NOUN
biomedich-33	94	25	going	go	VERB
biomedich-33	94	26	out	out	ADP
biomedich-33	94	27	leaving	leave	VERB
biomedich-33	94	28	the	the	DET
biomedich-33	94	29	zero	zero	NUM
biomedich-33	94	30	point	point	NOUN
biomedich-33	94	31	and	and	CCONJ
biomedich-33	94	32	the	the	DET
biomedich-33	94	33	point	point	NOUN
biomedich-33	94	34	of	of	ADP
biomedich-33	94	35	criticism	criticism	NOUN
biomedich-33	94	36	would	would	AUX
biomedich-33	94	37	be	be	AUX
biomedich-33	94	38	stable	stable	ADJ
biomedich-33	94	39	.	.	PUNCT
biomedich-33	95	1	12	12	NUM
biomedich-33	95	2	biology	biology	NOUN
biomedich-33	95	3	,	,	PUNCT
biomedich-33	95	4	medicine	medicine	NOUN
biomedich-33	95	5	,	,	PUNCT
biomedich-33	95	6	&	&	CCONJ
biomedich-33	95	7	natural	natural	ADJ
biomedich-33	95	8	product	product	NOUN
biomedich-33	95	9	chemistry	chemistry	NOUN
biomedich-33	95	10	5	5	NUM
biomedich-33	95	11	(	(	PUNCT
biomedich-33	95	12	1	1	NUM
biomedich-33	95	13	)	)	PUNCT
biomedich-33	95	14	,	,	PUNCT
biomedich-33	95	15	2016	2016	NUM
biomedich-33	95	16	:	:	PUNCT
biomedich-33	95	17	9	9	NUM
biomedich-33	95	18	-	-	SYM
biomedich-33	95	19	14	14	NUM
biomedich-33	95	20	method	method	NOUN
biomedich-33	95	21	this	this	DET
biomedich-33	95	22	research	research	NOUN
biomedich-33	95	23	is	be	AUX
biomedich-33	95	24	a	a	DET
biomedich-33	95	25	study	study	NOUN
biomedich-33	95	26	of	of	ADP
biomedich-33	95	27	library	library	ADJ
biomedich-33	95	28	studies	study	NOUN
biomedich-33	95	29	,	,	PUNCT
biomedich-33	95	30	which	which	PRON
biomedich-33	95	31	is	be	AUX
biomedich-33	95	32	used	use	VERB
biomedich-33	95	33	in	in	ADP
biomedich-33	95	34	literature	literature	NOUN
biomedich-33	95	35	studies	study	NOUN
biomedich-33	95	36	of	of	ADP
biomedich-33	95	37	relevant	relevant	ADJ
biomedich-33	95	38	literature	literature	NOUN
biomedich-33	95	39	sources	source	NOUN
biomedich-33	95	40	used	use	VERB
biomedich-33	95	41	to	to	PART
biomedich-33	95	42	gather	gather	VERB
biomedich-33	95	43	the	the	DET
biomedich-33	95	44	necessary	necessary	ADJ
biomedich-33	95	45	information	information	NOUN
biomedich-33	95	46	in	in	ADP
biomedich-33	95	47	the	the	DET
biomedich-33	95	48	study	study	NOUN
biomedich-33	95	49	.	.	PUNCT
biomedich-33	96	1	a	a	DET
biomedich-33	96	2	literature	literature	NOUN
biomedich-33	96	3	study	study	NOUN
biomedich-33	96	4	by	by	ADP
biomedich-33	96	5	collecting	collect	VERB
biomedich-33	96	6	literature	literature	NOUN
biomedich-33	96	7	sources	source	NOUN
biomedich-33	96	8	which	which	PRON
biomedich-33	96	9	may	may	AUX
biomedich-33	96	10	include	include	VERB
biomedich-33	96	11	books	book	NOUN
biomedich-33	96	12	,	,	PUNCT
biomedich-33	96	13	texts	text	NOUN
biomedich-33	96	14	,	,	PUNCT
biomedich-33	96	15	papers	paper	NOUN
biomedich-33	96	16	and	and	CCONJ
biomedich-33	96	17	so	so	ADV
biomedich-33	96	18	on	on	ADV
biomedich-33	96	19	.	.	PUNCT
biomedich-33	97	1	after	after	SCONJ
biomedich-33	97	2	the	the	DET
biomedich-33	97	3	collected	collect	VERB
biomedich-33	97	4	literature	literature	NOUN
biomedich-33	97	5	sources	source	NOUN
biomedich-33	97	6	ollowed	ollowe	VERB
biomedich-33	97	7	by	by	ADP
biomedich-33	97	8	a	a	DET
biomedich-33	97	9	review	review	NOUN
biomedich-33	97	10	of	of	ADP
biomedich-33	97	11	the	the	DET
biomedich-33	97	12	literature	literature	NOUN
biomedich-33	97	13	sources	source	NOUN
biomedich-33	97	14	.	.	PUNCT
biomedich-33	98	1	at	at	ADP
biomedich-33	98	2	the	the	DET
biomedich-33	98	3	end	end	NOUN
biomedich-33	98	4	of	of	ADP
biomedich-33	98	5	the	the	DET
biomedich-33	98	6	library	library	ADJ
biomedich-33	98	7	resources	resource	NOUN
biomedich-33	98	8	as	as	ADP
biomedich-33	98	9	a	a	DET
biomedich-33	98	10	basis	basis	NOUN
biomedich-33	98	11	for	for	ADP
biomedich-33	98	12	analyzing	analyze	VERB
biomedich-33	98	13	the	the	DET
biomedich-33	98	14	problem	problem	NOUN
biomedich-33	98	15	.	.	PUNCT
biomedich-33	99	1	mathematical	mathematical	ADJ
biomedich-33	99	2	modeling	model	VERB
biomedich-33	99	3	the	the	DET
biomedich-33	99	4	interaction	interaction	NOUN
biomedich-33	99	5	of	of	ADP
biomedich-33	99	6	two	two	NUM
biomedich-33	99	7	populations	population	NOUN
biomedich-33	99	8	of	of	ADP
biomedich-33	99	9	host	host	NOUN
biomedich-33	99	10	and	and	CCONJ
biomedich-33	99	11	parasitoid	parasitoid	NOUN
biomedich-33	99	12	in	in	ADP
biomedich-33	99	13	this	this	DET
biomedich-33	99	14	research	research	NOUN
biomedich-33	99	15	is	be	AUX
biomedich-33	99	16	needed	need	VERB
biomedich-33	99	17	to	to	PART
biomedich-33	99	18	determine	determine	VERB
biomedich-33	99	19	how	how	SCONJ
biomedich-33	99	20	the	the	DET
biomedich-33	99	21	shape	shape	NOUN
biomedich-33	99	22	of	of	ADP
biomedich-33	99	23	the	the	DET
biomedich-33	99	24	equation	equation	NOUN
biomedich-33	99	25	,	,	PUNCT
biomedich-33	99	26	and	and	CCONJ
biomedich-33	99	27	then	then	ADV
biomedich-33	99	28	to	to	PART
biomedich-33	99	29	look	look	VERB
biomedich-33	99	30	for	for	ADP
biomedich-33	99	31	form	form	NOUN
biomedich-33	99	32	completion	completion	NOUN
biomedich-33	99	33	hosted	host	VERB
biomedich-33	99	34	model	model	NOUN
biomedich-33	99	35	and	and	CCONJ
biomedich-33	99	36	the	the	DET
biomedich-33	99	37	parasitoid	parasitoid	NOUN
biomedich-33	99	38	.	.	PUNCT
biomedich-33	100	1	steps	step	NOUN
biomedich-33	100	2	to	to	PART
biomedich-33	100	3	resolve	resolve	VERB
biomedich-33	100	4	the	the	DET
biomedich-33	100	5	problem	problem	NOUN
biomedich-33	100	6	that	that	PRON
biomedich-33	100	7	is	be	AUX
biomedich-33	100	8	used	use	VERB
biomedich-33	100	9	to	to	PART
biomedich-33	100	10	analyze	analyze	VERB
biomedich-33	100	11	the	the	DET
biomedich-33	100	12	shape	shape	NOUN
biomedich-33	100	13	and	and	CCONJ
biomedich-33	100	14	model	model	NOUN
biomedich-33	100	15	of	of	ADP
biomedich-33	100	16	the	the	DET
biomedich-33	100	17	study	study	NOUN
biomedich-33	100	18	are	be	AUX
biomedich-33	100	19	as	as	SCONJ
biomedich-33	100	20	follows	follow	VERB
biomedich-33	100	21	:	:	PUNCT
biomedich-33	100	22	a.	a.	NOUN
biomedich-33	100	23	lowering	lower	VERB
biomedich-33	100	24	the	the	DET
biomedich-33	100	25	mathematical	mathematical	ADJ
biomedich-33	100	26	model	model	NOUN
biomedich-33	100	27	the	the	DET
biomedich-33	100	28	interaction	interaction	NOUN
biomedich-33	100	29	of	of	ADP
biomedich-33	100	30	two	two	NUM
biomedich-33	100	31	populations	population	NOUN
biomedich-33	100	32	of	of	ADP
biomedich-33	100	33	host	host	NOUN
biomedich-33	100	34	and	and	CCONJ
biomedich-33	100	35	parasitoid	parasitoid	VERB
biomedich-33	100	36	with	with	ADP
biomedich-33	100	37	holling	holle	VERB
biomedich-33	100	38	response	response	NOUN
biomedich-33	100	39	function	function	NOUN
biomedich-33	100	40	of	of	ADP
biomedich-33	100	41	type	type	PROPN
biomedich-33	100	42	ii	ii	PROPN
biomedich-33	100	43	.	.	PUNCT
biomedich-33	101	1	b.	b.	PROPN
biomedich-33	101	2	analysis	analysis	NOUN
biomedich-33	101	3	of	of	ADP
biomedich-33	101	4	the	the	DET
biomedich-33	101	5	models	model	NOUN
biomedich-33	101	6	begins	begin	VERB
biomedich-33	101	7	with	with	ADP
biomedich-33	101	8	finding	find	VERB
biomedich-33	101	9	the	the	DET
biomedich-33	101	10	equilibrium	equilibrium	NOUN
biomedich-33	101	11	point	point	NOUN
biomedich-33	101	12	of	of	ADP
biomedich-33	101	13	the	the	DET
biomedich-33	101	14	model	model	NOUN
biomedich-33	101	15	systems	system	NOUN
biomedich-33	101	16	of	of	ADP
biomedich-33	101	17	differential	differential	ADJ
biomedich-33	101	18	equations	equation	NOUN
biomedich-33	101	19	.	.	PUNCT
biomedich-33	102	1	c.	c.	NOUN
biomedich-33	102	2	determining	determine	VERB
biomedich-33	102	3	the	the	DET
biomedich-33	102	4	characteristic	characteristic	ADJ
biomedich-33	102	5	equation	equation	NOUN
biomedich-33	102	6	and	and	CCONJ
biomedich-33	102	7	the	the	DET
biomedich-33	102	8	eigenvalues	eigenvalue	NOUN
biomedich-33	102	9	of	of	ADP
biomedich-33	102	10	the	the	DET
biomedich-33	102	11	jacobian	jacobian	ADJ
biomedich-33	102	12	matrix	matrix	NOUN
biomedich-33	102	13	system	system	NOUN
biomedich-33	102	14	which	which	PRON
biomedich-33	102	15	is	be	AUX
biomedich-33	102	16	calculated	calculate	VERB
biomedich-33	102	17	at	at	ADP
biomedich-33	102	18	each	each	DET
biomedich-33	102	19	point	point	NOUN
biomedich-33	102	20	of	of	ADP
biomedich-33	102	21	equilibrium	equilibrium	NOUN
biomedich-33	102	22	.	.	PUNCT
biomedich-33	103	1	d.	d.	PROPN
biomedich-33	103	2	then	then	ADV
biomedich-33	103	3	check	check	VERB
biomedich-33	103	4	the	the	DET
biomedich-33	103	5	stability	stability	NOUN
biomedich-33	103	6	of	of	ADP
biomedich-33	103	7	the	the	DET
biomedich-33	103	8	equilibrium	equilibrium	NOUN
biomedich-33	103	9	point	point	NOUN
biomedich-33	103	10	.	.	PUNCT
biomedich-33	104	1	e.	e.	PROPN
biomedich-33	104	2	creating	create	VERB
biomedich-33	104	3	a	a	DET
biomedich-33	104	4	numerical	numerical	ADJ
biomedich-33	104	5	simulation	simulation	NOUN
biomedich-33	104	6	of	of	ADP
biomedich-33	104	7	the	the	DET
biomedich-33	104	8	results	result	NOUN
biomedich-33	104	9	of	of	ADP
biomedich-33	104	10	the	the	DET
biomedich-33	104	11	analysis	analysis	NOUN
biomedich-33	104	12	of	of	ADP
biomedich-33	104	13	mathematical	mathematical	ADJ
biomedich-33	104	14	models	model	NOUN
biomedich-33	104	15	the	the	DET
biomedich-33	104	16	interaction	interaction	NOUN
biomedich-33	104	17	of	of	ADP
biomedich-33	104	18	two	two	NUM
biomedich-33	104	19	populations	population	NOUN
biomedich-33	104	20	of	of	ADP
biomedich-33	104	21	host	host	NOUN
biomedich-33	104	22	and	and	CCONJ
biomedich-33	104	23	parasitoid	parasitoid	VERB
biomedich-33	104	24	with	with	ADP
biomedich-33	104	25	holling	holle	VERB
biomedich-33	104	26	response	response	NOUN
biomedich-33	104	27	function	function	NOUN
biomedich-33	104	28	of	of	ADP
biomedich-33	104	29	type	type	PROPN
biomedich-33	104	30	ii	ii	PROPN
biomedich-33	104	31	.	.	PUNCT
biomedich-33	105	1	research	research	NOUN
biomedich-33	105	2	result	result	NOUN
biomedich-33	105	3	in	in	ADP
biomedich-33	105	4	the	the	DET
biomedich-33	105	5	discussion	discussion	NOUN
biomedich-33	105	6	this	this	DET
biomedich-33	105	7	time	time	NOUN
biomedich-33	105	8	will	will	AUX
biomedich-33	105	9	be	be	AUX
biomedich-33	105	10	discussed	discuss	VERB
biomedich-33	105	11	on	on	ADP
biomedich-33	105	12	a	a	DET
biomedich-33	105	13	mathematical	mathematical	ADJ
biomedich-33	105	14	model	model	NOUN
biomedich-33	105	15	of	of	ADP
biomedich-33	105	16	interaction	interaction	NOUN
biomedich-33	105	17	between	between	ADP
biomedich-33	105	18	host	host	NOUN
biomedich-33	105	19	and	and	CCONJ
biomedich-33	105	20	parasitoid	parasitoid	NOUN
biomedich-33	105	21	host	host	NOUN
biomedich-33	105	22	.	.	PUNCT
biomedich-33	106	1	in	in	ADP
biomedich-33	106	2	this	this	DET
biomedich-33	106	3	model	model	NOUN
biomedich-33	106	4	there	there	PRON
biomedich-33	106	5	are	be	VERB
biomedich-33	106	6	two	two	NUM
biomedich-33	106	7	species	specie	NOUN
biomedich-33	106	8	that	that	PRON
biomedich-33	106	9	interact	interact	VERB
biomedich-33	106	10	namely	namely	ADV
biomedich-33	106	11	host	host	NOUN
biomedich-33	106	12	and	and	CCONJ
biomedich-33	106	13	parasitoid	parasitoid	NOUN
biomedich-33	106	14	.	.	PUNCT
biomedich-33	107	1	the	the	DET
biomedich-33	107	2	population	population	NOUN
biomedich-33	107	3	of	of	ADP
biomedich-33	107	4	the	the	DET
biomedich-33	107	5	host	host	NOUN
biomedich-33	107	6	is	be	AUX
biomedich-33	107	7	assumed	assume	VERB
biomedich-33	107	8	to	to	PART
biomedich-33	107	9	have	have	VERB
biomedich-33	107	10	enough	enough	ADJ
biomedich-33	107	11	food	food	NOUN
biomedich-33	107	12	.	.	PUNCT
biomedich-33	108	1	prior	prior	ADV
biomedich-33	108	2	to	to	ADP
biomedich-33	108	3	their	their	PRON
biomedich-33	108	4	predators	predator	NOUN
biomedich-33	108	5	,	,	PUNCT
biomedich-33	108	6	the	the	DET
biomedich-33	108	7	intrinsic	intrinsic	ADJ
biomedich-33	108	8	growth	growth	NOUN
biomedich-33	108	9	rate	rate	NOUN
biomedich-33	108	10	(	(	PUNCT
biomedich-33	108	11	birth	birth	NOUN
biomedich-33	108	12	rate	rate	NOUN
biomedich-33	108	13	minus	minus	CCONJ
biomedich-33	108	14	death	death	NOUN
biomedich-33	108	15	rate	rate	NOUN
biomedich-33	108	16	)	)	PUNCT
biomedich-33	108	17	host	host	NOUN
biomedich-33	108	18	proportional	proportional	NOUN
biomedich-33	108	19	to	to	ADP
biomedich-33	108	20	its	its	PRON
biomedich-33	108	21	population	population	NOUN
biomedich-33	108	22	.	.	PUNCT
biomedich-33	109	1	in	in	ADP
biomedich-33	109	2	this	this	DET
biomedich-33	109	3	case	case	NOUN
biomedich-33	109	4	the	the	DET
biomedich-33	109	5	host	host	NOUN
biomedich-33	109	6	becomes	become	VERB
biomedich-33	109	7	the	the	DET
biomedich-33	109	8	main	main	ADJ
biomedich-33	109	9	food	food	NOUN
biomedich-33	109	10	for	for	ADP
biomedich-33	109	11	parasitoid	parasitoid	NOUN
biomedich-33	109	12	so	so	SCONJ
biomedich-33	109	13	before	before	ADP
biomedich-33	109	14	their	their	PRON
biomedich-33	109	15	host	host	NOUN
biomedich-33	109	16	,	,	PUNCT
biomedich-33	109	17	the	the	DET
biomedich-33	109	18	parasitoid	parasitoid	NOUN
biomedich-33	109	19	population	population	NOUN
biomedich-33	109	20	growth	growth	NOUN
biomedich-33	109	21	will	will	AUX
biomedich-33	109	22	decline	decline	VERB
biomedich-33	109	23	due	due	ADP
biomedich-33	109	24	to	to	ADP
biomedich-33	109	25	the	the	DET
biomedich-33	109	26	mortality	mortality	NOUN
biomedich-33	109	27	rate	rate	NOUN
biomedich-33	109	28	of	of	ADP
biomedich-33	109	29	the	the	DET
biomedich-33	109	30	parasitoid	parasitoid	NOUN
biomedich-33	109	31	.	.	PUNCT
biomedich-33	110	1	parasitoid	parasitoid	NOUN
biomedich-33	110	2	attack	attack	NOUN
biomedich-33	110	3	based	base	VERB
biomedich-33	110	4	on	on	ADP
biomedich-33	110	5	the	the	DET
biomedich-33	110	6	functional	functional	ADJ
biomedich-33	110	7	response	response	NOUN
biomedich-33	110	8	of	of	ADP
biomedich-33	110	9	the	the	DET
biomedich-33	110	10	host	host	NOUN
biomedich-33	110	11	.	.	PUNCT
biomedich-33	111	1	in	in	ADP
biomedich-33	111	2	contrast	contrast	NOUN
biomedich-33	111	3	with	with	ADP
biomedich-33	111	4	these	these	DET
biomedich-33	111	5	interactions	interaction	NOUN
biomedich-33	111	6	,	,	PUNCT
biomedich-33	111	7	the	the	DET
biomedich-33	111	8	parasitoid	parasitoid	NOUN
biomedich-33	111	9	population	population	NOUN
biomedich-33	111	10	will	will	AUX
biomedich-33	111	11	be	be	AUX
biomedich-33	111	12	converted	convert	VERB
biomedich-33	111	13	to	to	ADP
biomedich-33	111	14	its	its	PRON
biomedich-33	111	15	growth	growth	NOUN
biomedich-33	111	16	.	.	PUNCT
biomedich-33	112	1	the	the	DET
biomedich-33	112	2	ratio	ratio	NOUN
biomedich-33	112	3	of	of	ADP
biomedich-33	112	4	parasitoid	parasitoid	NOUN
biomedich-33	112	5	immature	immature	ADJ
biomedich-33	112	6	to	to	ADP
biomedich-33	112	7	adult	adult	NOUN
biomedich-33	112	8	parasitoids	parasitoid	NOUN
biomedich-33	112	9	is	be	AUX
biomedich-33	112	10	constant	constant	ADJ
biomedich-33	112	11	and	and	CCONJ
biomedich-33	112	12	the	the	DET
biomedich-33	112	13	population	population	NOUN
biomedich-33	112	14	has	have	VERB
biomedich-33	112	15	the	the	DET
biomedich-33	112	16	maximum	maximum	ADJ
biomedich-33	112	17	growth	growth	NOUN
biomedich-33	112	18	rate	rate	NOUN
biomedich-33	112	19	.	.	PUNCT
biomedich-33	113	1	the	the	DET
biomedich-33	113	2	parameters	parameter	NOUN
biomedich-33	113	3	given	give	VERB
biomedich-33	113	4	to	to	PART
biomedich-33	113	5	model	model	VERB
biomedich-33	113	6	the	the	DET
biomedich-33	113	7	interaction	interaction	NOUN
biomedich-33	113	8	between	between	ADP
biomedich-33	113	9	the	the	DET
biomedich-33	113	10	host	host	NOUN
biomedich-33	113	11	and	and	CCONJ
biomedich-33	113	12	parasitoid	parasitoid	NOUN
biomedich-33	113	13	is	be	AUX
biomedich-33	113	14	ℎ	ℎ	NOUN
biomedich-33	113	15	(	(	PUNCT
biomedich-33	113	16	)	)	PUNCT
biomedich-33	113	17	which	which	PRON
biomedich-33	113	18	states	state	VERB
biomedich-33	113	19	the	the	DET
biomedich-33	113	20	host	host	NOUN
biomedich-33	113	21	population	population	NOUN
biomedich-33	113	22	at	at	ADP
biomedich-33	113	23	time	time	NOUN
biomedich-33	113	24	t	t	PROPN
biomedich-33	113	25	,	,	PUNCT
biomedich-33	113	26	(	(	PUNCT
biomedich-33	113	27	)	)	PUNCT
biomedich-33	113	28	states	state	VERB
biomedich-33	113	29	parasitoid	parasitoid	ADJ
biomedich-33	113	30	population	population	NOUN
biomedich-33	113	31	at	at	ADP
biomedich-33	113	32	the	the	DET
biomedich-33	113	33	time	time	NOUN
biomedich-33	113	34	,	,	PUNCT
biomedich-33	113	35	(	(	PUNCT
biomedich-33	113	36	ℎ	ℎ	X
biomedich-33	113	37	)	)	PUNCT
biomedich-33	113	38	stated	state	VERB
biomedich-33	113	39	functional	functional	ADJ
biomedich-33	113	40	response	response	NOUN
biomedich-33	113	41	,	,	PUNCT
biomedich-33	113	42	stating	state	VERB
biomedich-33	113	43	the	the	DET
biomedich-33	113	44	effect	effect	NOUN
biomedich-33	113	45	of	of	ADP
biomedich-33	113	46	oviposition	oviposition	NOUN
biomedich-33	113	47	on	on	ADP
biomedich-33	113	48	adult	adult	NOUN
biomedich-33	113	49	parasitoid	parasitoid	NOUN
biomedich-33	113	50	population	population	NOUN
biomedich-33	113	51	,	,	PUNCT
biomedich-33	113	52	r	r	NOUN
biomedich-33	113	53	states	state	VERB
biomedich-33	113	54	the	the	DET
biomedich-33	113	55	intrinsic	intrinsic	ADJ
biomedich-33	113	56	growth	growth	NOUN
biomedich-33	113	57	rate	rate	NOUN
biomedich-33	113	58	of	of	ADP
biomedich-33	113	59	the	the	DET
biomedich-33	113	60	host	host	NOUN
biomedich-33	113	61	,	,	PUNCT
biomedich-33	114	1	d	d	PRON
biomedich-33	114	2	declared	declare	VERB
biomedich-33	114	3	the	the	DET
biomedich-33	114	4	death	death	NOUN
biomedich-33	114	5	rate	rate	NOUN
biomedich-33	114	6	of	of	ADP
biomedich-33	114	7	the	the	DET
biomedich-33	114	8	parasitoid	parasitoid	NOUN
biomedich-33	114	9	.	.	PUNCT
biomedich-33	115	1	all	all	PRON
biomedich-33	115	2	of	of	ADP
biomedich-33	115	3	these	these	DET
biomedich-33	115	4	parameters	parameter	NOUN
biomedich-33	115	5	is	be	AUX
biomedich-33	115	6	positive	positive	ADJ
biomedich-33	115	7	.	.	PUNCT
biomedich-33	116	1	functional	functional	ADJ
biomedich-33	116	2	response	response	NOUN
biomedich-33	116	3	(	(	PUNCT
biomedich-33	116	4	ℎ	ℎ	PROPN
biomedich-33	116	5	)	)	PUNCT
biomedich-33	116	6	assumed	assume	VERB
biomedich-33	116	7	to	to	PART
biomedich-33	116	8	be	be	AUX
biomedich-33	116	9	a	a	DET
biomedich-33	116	10	function	function	NOUN
biomedich-33	116	11	:	:	PUNCT
biomedich-33	116	12	→	→	SYM
biomedich-33	116	13	,	,	PUNCT
biomedich-33	116	14	,	,	PUNCT
biomedich-33	116	15	(	(	PUNCT
biomedich-33	116	16	ℎ	ℎ	NOUN
biomedich-33	116	17	)	)	PUNCT
biomedich-33	116	18	function	function	NOUN
biomedich-33	116	19	with	with	ADP
biomedich-33	116	20	a	a	DET
biomedich-33	116	21	continuous	continuous	ADJ
biomedich-33	116	22	rise	rise	NOUN
biomedich-33	116	23	(	(	PUNCT
biomedich-33	116	24	0	0	NUM
biomedich-33	116	25	)	)	PUNCT
biomedich-33	116	26	=	=	SYM
biomedich-33	116	27	0	0	NUM
biomedich-33	116	28	,	,	PUNCT
biomedich-33	116	29	and	and	CCONJ
biomedich-33	116	30	(	(	PUNCT
biomedich-33	116	31	ℎ	ℎ	NOUN
biomedich-33	116	32	)	)	PUNCT
biomedich-33	116	33	diferensiabel	diferensiabel	NOUN
biomedich-33	116	34	kontinu	kontinu	NOUN
biomedich-33	116	35	.	.	PUNCT
biomedich-33	117	1	based	base	VERB
biomedich-33	117	2	on	on	ADP
biomedich-33	117	3	the	the	DET
biomedich-33	117	4	assumptions	assumption	NOUN
biomedich-33	117	5	above	above	ADV
biomedich-33	117	6	were	be	AUX
biomedich-33	117	7	obtained	obtain	VERB
biomedich-33	117	8	host	host	NOUN
biomedich-33	117	9	and	and	CCONJ
biomedich-33	117	10	parasitoid	parasitoid	NOUN
biomedich-33	117	11	interaction	interaction	NOUN
biomedich-33	117	12	model	model	NOUN
biomedich-33	117	13	as	as	SCONJ
biomedich-33	117	14	follows	follow	VERB
biomedich-33	117	15	:	:	PUNCT
biomedich-33	117	16	phfrh	phfrh	NOUN
biomedich-33	117	17	dt	dt	INTJ
biomedich-33	117	18	dh	dh	NOUN
biomedich-33	117	19	)	)	PUNCT
biomedich-33	117	20	(	(	PUNCT
biomedich-33	117	21			X
biomedich-33	117	22	(	(	PUNCT
biomedich-33	117	23	(	(	PUNCT
biomedich-33	117	24	)	)	PUNCT
biomedich-33	117	25	)	)	PUNCT
biomedich-33	117	26	.dp	.dp	PUNCT
biomedich-33	118	1	af	af	PROPN
biomedich-33	118	2	h	h	NOUN
biomedich-33	119	1	d	d	NOUN
biomedich-33	119	2	p	p	X
biomedich-33	119	3	dt	dt	X
biomedich-33	119	4			PROPN
biomedich-33	119	5			PROPN
biomedich-33	119	6	(	(	PUNCT
biomedich-33	119	7	8)	8)	NUM
biomedich-33	119	8	with	with	ADP
biomedich-33	119	9	(	(	PUNCT
biomedich-33	119	10	ℎ	ℎ	PROPN
biomedich-33	119	11	)	)	PUNCT
biomedich-33	119	12	=	=	SYM
biomedich-33	119	13	∗	∗	VERB
biomedich-33	119	14	a	a	DET
biomedich-33	119	15	holling	holle	VERB
biomedich-33	119	16	type	type	NOUN
biomedich-33	119	17	ii	ii	NOUN
biomedich-33	119	18	functional	functional	ADJ
biomedich-33	119	19	response	response	NOUN
biomedich-33	119	20	to	to	ADP
biomedich-33	119	21	the	the	DET
biomedich-33	119	22	interaction	interaction	NOUN
biomedich-33	119	23	of	of	ADP
biomedich-33	119	24	host	host	NOUN
biomedich-33	119	25	and	and	CCONJ
biomedich-33	119	26	parasitoid	parasitoid	NOUN
biomedich-33	119	27	.	.	PUNCT
biomedich-33	120	1	here	here	ADV
biomedich-33	120	2	is	be	AUX
biomedich-33	120	3	a	a	DET
biomedich-33	120	4	system	system	NOUN
biomedich-33	120	5	of	of	ADP
biomedich-33	120	6	differential	differential	ADJ
biomedich-33	120	7	equations	equation	NOUN
biomedich-33	120	8	after	after	ADP
biomedich-33	120	9	the	the	DET
biomedich-33	120	10	interaction	interaction	NOUN
biomedich-33	120	11	of	of	ADP
biomedich-33	120	12	the	the	DET
biomedich-33	120	13	two	two	NUM
biomedich-33	120	14	populations	population	NOUN
biomedich-33	120	15	substituted	substitute	VERB
biomedich-33	120	16	into	into	ADP
biomedich-33	120	17	the	the	DET
biomedich-33	120	18	equation	equation	NOUN
biomedich-33	120	19	(	(	PUNCT
biomedich-33	120	20	8)	8)	NUM
biomedich-33	120	21	,	,	PUNCT
biomedich-33	120	22	namely	namely	ADV
biomedich-33	120	23	:	:	PUNCT
biomedich-33	120	24	ℎ	ℎ	PROPN
biomedich-33	120	25	=	=	PROPN
biomedich-33	120	26	ℎ−	ℎ−	PROPN
biomedich-33	120	27	∗ℎ1	∗ℎ1	PROPN
biomedich-33	120	28	+	+	CCONJ
biomedich-33	120	29	ℎ=	ℎ=	VERB
biomedich-33	120	30	∗ℎ1	∗ℎ1	PROPN
biomedich-33	120	31	+	+	NUM
biomedich-33	120	32	ℎ−	ℎ−	PROPN
biomedich-33	120	33	(	(	PUNCT
biomedich-33	120	34	9	9	NUM
biomedich-33	120	35	)	)	PUNCT
biomedich-33	120	36	from	from	ADP
biomedich-33	120	37	the	the	DET
biomedich-33	120	38	point	point	NOUN
biomedich-33	120	39	equilibrium	equilibrium	NOUN
biomedich-33	120	40	model	model	NOUN
biomedich-33	120	41	in	in	ADP
biomedich-33	120	42	this	this	DET
biomedich-33	120	43	section	section	NOUN
biomedich-33	120	44	we	we	PRON
biomedich-33	120	45	will	will	AUX
biomedich-33	120	46	look	look	VERB
biomedich-33	120	47	for	for	ADP
biomedich-33	120	48	a	a	DET
biomedich-33	120	49	solution	solution	NOUN
biomedich-33	120	50	to	to	ADP
biomedich-33	120	51	the	the	DET
biomedich-33	120	52	2	2	NUM
biomedich-33	120	53	r	r	ADJ
biomedich-33	120	54	,	,	PUNCT
biomedich-33	120	55	because	because	SCONJ
biomedich-33	120	56	the	the	DET
biomedich-33	120	57	population	population	NOUN
biomedich-33	120	58	must	must	AUX
biomedich-33	120	59	not	not	PART
biomedich-33	120	60	be	be	AUX
biomedich-33	120	61	negative	negative	ADJ
biomedich-33	120	62	and	and	CCONJ
biomedich-33	120	63	the	the	DET
biomedich-33	120	64	solutions	solution	NOUN
biomedich-33	120	65	are	be	AUX
biomedich-33	120	66	beyond	beyond	ADP
biomedich-33	120	67	2	2	NUM
biomedich-33	120	68	r	r	ADJ
biomedich-33	120	69	can	can	AUX
biomedich-33	120	70	not	not	PART
biomedich-33	120	71	be	be	AUX
biomedich-33	120	72	interpreted	interpret	VERB
biomedich-33	120	73	biologically	biologically	ADV
biomedich-33	120	74	.	.	PUNCT
biomedich-33	121	1	equilibrium	equilibrium	NOUN
biomedich-33	121	2	point	point	NOUN
biomedich-33	121	3	equation	equation	NOUN
biomedich-33	121	4	(	(	PUNCT
biomedich-33	121	5	9	9	NUM
biomedich-33	121	6	)	)	PUNCT
biomedich-33	121	7	is	be	AUX
biomedich-33	121	8	obtained	obtain	VERB
biomedich-33	121	9	if	if	SCONJ
biomedich-33	121	10	:	:	PUNCT
biomedich-33	121	11	0	0	NUM
biomedich-33	121	12	dt	dt	X
biomedich-33	121	13	dh	dh	NOUN
biomedich-33	121	14	(	(	PUNCT
biomedich-33	121	15	10	10	NUM
biomedich-33	121	16	)	)	PUNCT
biomedich-33	121	17	0.dp	0.dp	NOUN
biomedich-33	122	1	dt	dt	X
biomedich-33	123	1			NOUN
biomedich-33	124	1	(	(	PUNCT
biomedich-33	124	2	11	11	NUM
biomedich-33	124	3	)	)	PUNCT
biomedich-33	124	4	from	from	ADP
biomedich-33	124	5	equation	equation	NOUN
biomedich-33	124	6	(	(	PUNCT
biomedich-33	124	7	10	10	NUM
biomedich-33	124	8	)	)	PUNCT
biomedich-33	124	9	and	and	CCONJ
biomedich-33	124	10	(	(	PUNCT
biomedich-33	124	11	11	11	NUM
biomedich-33	124	12	)	)	PUNCT
biomedich-33	124	13	was	be	AUX
biomedich-33	124	14	obtained	obtain	VERB
biomedich-33	124	15	0	0	NUM
biomedich-33	124	16	1	1	NUM
biomedich-33	124	17	*	*	NOUN
biomedich-33	124	18			NUM
biomedich-33	124	19			NOUN
biomedich-33	124	20			PROPN
biomedich-33	124	21			PROPN
biomedich-33	124	22			PROPN
biomedich-33	124	23			NOUN
biomedich-33	124	24			VERB
biomedich-33	124	25			PROPN
biomedich-33	124	26	bh	bh	PROPN
biomedich-33	124	27	parh	parh	NOUN
biomedich-33	124	28	(	(	PUNCT
biomedich-33	124	29	12	12	NUM
biomedich-33	124	30	)	)	PUNCT
biomedich-33	124	31	*	*	NOUN
biomedich-33	125	1	0	0	X
biomedich-33	125	2	.	.	NOUN
biomedich-33	125	3	1	1	NUM
biomedich-33	126	1	a	a	DET
biomedich-33	126	2	ha	ha	INTJ
biomedich-33	126	3	d	d	X
biomedich-33	126	4	p	p	X
biomedich-33	126	5	bh	bh	PROPN
biomedich-33	126	6			NOUN
biomedich-33	126	7			PROPN
biomedich-33	126	8			VERB
biomedich-33	126	9			CCONJ
biomedich-33	126	10			NUM
biomedich-33	126	11			NOUN
biomedich-33	126	12	(	(	PUNCT
biomedich-33	126	13	13	13	NUM
biomedich-33	126	14	)	)	PUNCT
biomedich-33	126	15	from	from	ADP
biomedich-33	126	16	equation	equation	NOUN
biomedich-33	126	17	(	(	PUNCT
biomedich-33	126	18	12	12	NUM
biomedich-33	126	19	)	)	PUNCT
biomedich-33	126	20	and	and	CCONJ
biomedich-33	126	21	(	(	PUNCT
biomedich-33	126	22	13	13	NUM
biomedich-33	126	23	)	)	PUNCT
biomedich-33	126	24	was	be	AUX
biomedich-33	126	25	obtained	obtain	VERB
biomedich-33	126	26	3	3	NUM
biomedich-33	126	27	obtained	obtain	VERB
biomedich-33	126	28	equilibrium	equilibrium	NOUN
biomedich-33	126	29	point	point	NOUN
biomedich-33	126	30			NOUN
biomedich-33	126	31			PUNCT
biomedich-33	126	32			PROPN
biomedich-33	126	33			NUM
biomedich-33	126	34			PRON
biomedich-33	126	35			PROPN
biomedich-33	126	36			PROPN
biomedich-33	126	37			NOUN
biomedich-33	126	38			PROPN
biomedich-33	126	39			PROPN
biomedich-33	126	40	dbaa	dbaa	PROPN
biomedich-33	126	41	arph	arph	NOUN
biomedich-33	126	42	*	*	PUNCT
biomedich-33	126	43	11	11	NUM
biomedich-33	126	44	,	,	PUNCT
biomedich-33	126	45	0	0	NUM
biomedich-33	126	46	,	,	PUNCT
biomedich-33	126	47			NOUN
biomedich-33	126	48			PUNCT
biomedich-33	126	49			PROPN
biomedich-33	126	50			NUM
biomedich-33	126	51			PRON
biomedich-33	126	52			PROPN
biomedich-33	126	53			PROPN
biomedich-33	126	54			NOUN
biomedich-33	126	55			NOUN
biomedich-33	126	56			PROPN
biomedich-33	126	57	0	0	NUM
biomedich-33	126	58	,	,	PUNCT
biomedich-33	126	59	,	,	PUNCT
biomedich-33	126	60	*	*	PUNCT
biomedich-33	126	61	22	22	NUM
biomedich-33	126	62	dbaa	dbaa	ADJ
biomedich-33	126	63	dph	dph	PROPN
biomedich-33	126	64			PROPN
biomedich-33	126	65			PUNCT
biomedich-33	126	66			PROPN
biomedich-33	126	67			NUM
biomedich-33	126	68			PRON
biomedich-33	126	69			PROPN
biomedich-33	126	70			PROPN
biomedich-33	126	71			NOUN
biomedich-33	126	72			NUM
biomedich-33	126	73			PROPN
biomedich-33	126	74	dbaa	dbaa	PROPN
biomedich-33	126	75	ar	ar	PROPN
biomedich-33	126	76	dbaa	dbaa	PROPN
biomedich-33	126	77	dph	dph	PROPN
biomedich-33	126	78	*	*	PUNCT
biomedich-33	126	79	*	*	PROPN
biomedich-33	126	80	33	33	NUM
biomedich-33	126	81	,	,	PUNCT
biomedich-33	126	82	,	,	PUNCT
biomedich-33	126	83	.	.	PUNCT
biomedich-33	127	1	dewi	dewi	PROPN
biomedich-33	127	2	aggreini	aggreini	PROPN
biomedich-33	127	3	.	.	PUNCT
biomedich-33	127	4	–	–	PUNCT
biomedich-33	127	5	local	local	ADJ
biomedich-33	127	6	stability	stability	NOUN
biomedich-33	127	7	analysis	analysis	NOUN
biomedich-33	127	8	of	of	ADP
biomedich-33	127	9	a	a	DET
biomedich-33	127	10	mathematical	mathematical	ADJ
biomedich-33	127	11	model	model	NOUN
biomedich-33	127	12	of	of	ADP
biomedich-33	127	13	the	the	DET
biomedich-33	127	14	interaction	interaction	NOUN
biomedich-33	127	15	of	of	ADP
biomedich-33	127	16	…	…	PUNCT
biomedich-33	127	17	13	13	NUM
biomedich-33	127	18	on	on	ADP
biomedich-33	127	19	the	the	DET
biomedich-33	127	20	condition	condition	NOUN
biomedich-33	127	21	that	that	SCONJ
biomedich-33	127	22	the	the	DET
biomedich-33	127	23	equilibrium	equilibrium	NOUN
biomedich-33	127	24	point	point	NOUN
biomedich-33	127	25	∗	∗	VERB
biomedich-33	127	26	−	−	PROPN
biomedich-33	127	27	>	>	X
biomedich-33	127	28	0	0	NUM
biomedich-33	127	29	or	or	CCONJ
biomedich-33	127	30	∗	∗	NOUN
biomedich-33	127	31	>	>	X
biomedich-33	127	32	based	base	VERB
biomedich-33	127	33	on	on	ADP
biomedich-33	127	34	these	these	DET
biomedich-33	127	35	results	result	NOUN
biomedich-33	127	36	it	it	PRON
biomedich-33	127	37	can	can	AUX
biomedich-33	127	38	be	be	AUX
biomedich-33	127	39	concluded	conclude	VERB
biomedich-33	127	40	that	that	SCONJ
biomedich-33	127	41	:	:	PUNCT
biomedich-33	127	42	if∗	if∗	VERB
biomedich-33	127	43	>	>	X
biomedich-33	127	44	then	then	ADV
biomedich-33	127	45	between	between	ADP
biomedich-33	127	46	host	host	NOUN
biomedich-33	127	47	and	and	CCONJ
biomedich-33	127	48	parasitoid	parasitoid	NOUN
biomedich-33	127	49	populations	population	NOUN
biomedich-33	127	50	can	can	AUX
biomedich-33	127	51	coexis	coexis	VERB
biomedich-33	127	52	.	.	PUNCT
biomedich-33	128	1	∗	∗	NOUN
biomedich-33	128	2	>	>	X
biomedich-33	128	3	means	mean	VERB
biomedich-33	128	4	that	that	SCONJ
biomedich-33	128	5	the	the	DET
biomedich-33	128	6	effects	effect	NOUN
biomedich-33	128	7	of	of	ADP
biomedich-33	128	8	oviposition	oviposition	NOUN
biomedich-33	128	9	on	on	ADP
biomedich-33	128	10	adult	adult	NOUN
biomedich-33	128	11	parasitoid	parasitoid	NOUN
biomedich-33	128	12	population	population	NOUN
biomedich-33	128	13	multiplied	multiply	VERB
biomedich-33	128	14	by	by	ADP
biomedich-33	128	15	the	the	DET
biomedich-33	128	16	time	time	NOUN
biomedich-33	128	17	available	available	ADJ
biomedich-33	128	18	for	for	SCONJ
biomedich-33	128	19	the	the	DET
biomedich-33	128	20	parasitoids	parasitoid	NOUN
biomedich-33	128	21	to	to	PART
biomedich-33	128	22	chase	chase	VERB
biomedich-33	128	23	and	and	CCONJ
biomedich-33	128	24	finds	find	VERB
biomedich-33	128	25	a	a	DET
biomedich-33	128	26	host	host	NOUN
biomedich-33	128	27	is	be	AUX
biomedich-33	128	28	greater	great	ADJ
biomedich-33	128	29	than	than	ADP
biomedich-33	128	30	the	the	DET
biomedich-33	128	31	mortality	mortality	NOUN
biomedich-33	128	32	rate	rate	NOUN
biomedich-33	128	33	of	of	ADP
biomedich-33	128	34	parasitoid	parasitoid	NOUN
biomedich-33	128	35	multiplied	multiply	VERB
biomedich-33	128	36	by	by	ADP
biomedich-33	128	37	time	time	NOUN
biomedich-33	128	38	to	to	PART
biomedich-33	128	39	handle	handle	VERB
biomedich-33	128	40	one	one	NUM
biomedich-33	128	41	host	host	NOUN
biomedich-33	128	42	.	.	PUNCT
biomedich-33	129	1	if	if	SCONJ
biomedich-33	129	2	∗	∗	NOUN
biomedich-33	129	3	>	>	X
biomedich-33	129	4	then	then	ADV
biomedich-33	129	5	between	between	ADP
biomedich-33	129	6	host	host	NOUN
biomedich-33	129	7	and	and	CCONJ
biomedich-33	129	8	parasitoid	parasitoid	NOUN
biomedich-33	129	9	populations	population	NOUN
biomedich-33	129	10	can	can	AUX
biomedich-33	129	11	not	not	PART
biomedich-33	129	12	coexist	coexist	VERB
biomedich-33	129	13	.	.	PUNCT
biomedich-33	130	1	stability	stability	NOUN
biomedich-33	130	2	of	of	ADP
biomedich-33	130	3	equilibrium	equilibrium	NOUN
biomedich-33	130	4	point	point	NOUN
biomedich-33	130	5	one	one	NUM
biomedich-33	130	6	way	way	NOUN
biomedich-33	130	7	to	to	PART
biomedich-33	130	8	determine	determine	VERB
biomedich-33	130	9	the	the	DET
biomedich-33	130	10	stability	stability	NOUN
biomedich-33	130	11	of	of	ADP
biomedich-33	130	12	equilibrium	equilibrium	NOUN
biomedich-33	130	13	points	point	NOUN
biomedich-33	130	14	of	of	ADP
biomedich-33	130	15	the	the	DET
biomedich-33	130	16	system	system	NOUN
biomedich-33	130	17	(	(	PUNCT
biomedich-33	130	18	9	9	NUM
biomedich-33	130	19	)	)	PUNCT
biomedich-33	130	20	is	be	AUX
biomedich-33	130	21	to	to	PART
biomedich-33	130	22	use	use	VERB
biomedich-33	130	23	linearization	linearization	NOUN
biomedich-33	130	24	.	.	PUNCT
biomedich-33	131	1	based	base	VERB
biomedich-33	131	2	systems	system	NOUN
biomedich-33	131	3	(	(	PUNCT
biomedich-33	131	4	9	9	NUM
biomedich-33	131	5	)	)	PUNCT
biomedich-33	131	6	,	,	PUNCT
biomedich-33	131	7	for	for	ADP
biomedich-33	131	8	example	example	NOUN
biomedich-33	131	9	ℎ	ℎ	X
biomedich-33	131	10	=	=	SYM
biomedich-33	131	11	(	(	PUNCT
biomedich-33	131	12	,	,	PUNCT
biomedich-33	131	13	)	)	PUNCT
biomedich-33	131	14	and	and	CCONJ
biomedich-33	131	15	=	=	SYM
biomedich-33	131	16	(	(	PUNCT
biomedich-33	131	17	,	,	PUNCT
biomedich-33	131	18	)	)	PUNCT
biomedich-33	131	19	with	with	ADP
biomedich-33	131	20	,	,	PUNCT
biomedich-33	131	21			NOUN
biomedich-33	131	22			PROPN
biomedich-33	131	23	p	p	NOUN
biomedich-33	131	24	bh	bh	PROPN
biomedich-33	131	25	harhyxg	harhyxg	PROPN
biomedich-33	131	26			PROPN
biomedich-33	131	27			PROPN
biomedich-33	131	28			PROPN
biomedich-33	131	29			PROPN
biomedich-33	131	30			PROPN
biomedich-33	131	31			NOUN
biomedich-33	131	32			VERB
biomedich-33	131	33			PROPN
biomedich-33	131	34	1	1	NUM
biomedich-33	131	35	,	,	PUNCT
biomedich-33	131	36	*	*	PROPN
biomedich-33	131	37	1	1	NUM
biomedich-33	131	38	and	and	CCONJ
biomedich-33	131	39			NOUN
biomedich-33	131	40			PUNCT
biomedich-33	131	41	yxg	yxg	PROPN
biomedich-33	131	42	,	,	PUNCT
biomedich-33	131	43	2	2	NUM
biomedich-33	131	44	pd	pd	NOUN
biomedich-33	131	45	bh	bh	NOUN
biomedich-33	131	46	haa	haa	PROPN
biomedich-33	131	47			PROPN
biomedich-33	131	48			NOUN
biomedich-33	131	49			PROPN
biomedich-33	131	50			PROPN
biomedich-33	131	51			PROPN
biomedich-33	131	52			NOUN
biomedich-33	131	53			NOUN
biomedich-33	131	54	1	1	X
biomedich-33	131	55	*	*	PUNCT
biomedich-33	131	56	.	.	PUNCT
biomedich-33	132	1	obtainable	obtainable	ADJ
biomedich-33	132	2			NOUN
biomedich-33	132	3			PUNCT
biomedich-33	132	4			NOUN
biomedich-33	132	5			PUNCT
biomedich-33	132	6			NOUN
biomedich-33	132	7			PUNCT
biomedich-33	133	1	*	*	PUNCT
biomedich-33	133	2	*	*	PUNCT
biomedich-33	133	3	1	1	NUM
biomedich-33	133	4	1	1	NUM
biomedich-33	133	5	2	2	NUM
biomedich-33	133	6	*	*	PUNCT
biomedich-33	133	7	*	*	PUNCT
biomedich-33	133	8	2	2	NUM
biomedich-33	133	9	2	2	NUM
biomedich-33	133	10	2	2	NUM
biomedich-33	133	11	11	11	NUM
biomedich-33	133	12	,	,	PUNCT
biomedich-33	133	13	.	.	PUNCT
biomedich-33	134	1	11	11	NUM
biomedich-33	134	2	a	a	DET
biomedich-33	134	3	p	p	X
biomedich-33	134	4	a	a	DET
biomedich-33	134	5	hg	hg	NOUN
biomedich-33	134	6	g	g	PROPN
biomedich-33	134	7	r	r	PROPN
biomedich-33	134	8	bhbhh	bhbhh	PROPN
biomedich-33	134	9	p	p	PROPN
biomedich-33	134	10	j	j	PROPN
biomedich-33	134	11	h	h	NOUN
biomedich-33	134	12	p	p	NOUN
biomedich-33	134	13	g	g	PROPN
biomedich-33	134	14	g	g	PROPN
biomedich-33	134	15	a	a	DET
biomedich-33	134	16	ap	ap	PROPN
biomedich-33	135	1	a	a	DET
biomedich-33	135	2	ah	ah	INTJ
biomedich-33	135	3	dh	dh	NOUN
biomedich-33	135	4	p	p	PROPN
biomedich-33	135	5	bhbh	bhbh	NOUN
biomedich-33	135	6			NOUN
biomedich-33	135	7			PROPN
biomedich-33	135	8			PROPN
biomedich-33	135	9			PROPN
biomedich-33	135	10			PROPN
biomedich-33	135	11			PROPN
biomedich-33	135	12			X
biomedich-33	136	1			PROPN
biomedich-33	136	2			ADJ
biomedich-33	136	3			PROPN
biomedich-33	136	4			PROPN
biomedich-33	136	5			NOUN
biomedich-33	136	6			VERB
biomedich-33	136	7			PROPN
biomedich-33	136	8			PROPN
biomedich-33	136	9			PROPN
biomedich-33	136	10			VERB
biomedich-33	136	11			PROPN
biomedich-33	136	12			PROPN
biomedich-33	137	1			PROPN
biomedich-33	137	2			PROPN
biomedich-33	137	3			ADJ
biomedich-33	137	4			PROPN
biomedich-33	137	5			PROPN
biomedich-33	137	6			NOUN
biomedich-33	137	7			NUM
biomedich-33	137	8			NOUN
biomedich-33	137	9	local	local	ADJ
biomedich-33	137	10	stability	stability	NOUN
biomedich-33	137	11	analysis	analysis	NOUN
biomedich-33	137	12	in	in	ADP
biomedich-33	137	13	the	the	DET
biomedich-33	137	14	following	follow	VERB
biomedich-33	137	15	theorems	theorem	NOUN
biomedich-33	137	16	will	will	AUX
biomedich-33	137	17	discuss	discuss	VERB
biomedich-33	137	18	the	the	DET
biomedich-33	137	19	local	local	ADJ
biomedich-33	137	20	stability	stability	NOUN
biomedich-33	137	21	of	of	ADP
biomedich-33	137	22	equilibrium	equilibrium	NOUN
biomedich-33	137	23	points:(ℎ	points:(ℎ	NOUN
biomedich-33	137	24	,	,	PUNCT
biomedich-33	137	25	)	)	PUNCT
biomedich-33	138	1	=	=	SYM
biomedich-33	138	2	∗	∗	NOUN
biomedich-33	138	3	−	−	PROPN
biomedich-33	138	4	,	,	PUNCT
biomedich-33	138	5	∗	∗	NOUN
biomedich-33	138	6	−(ℎ	−(ℎ	NOUN
biomedich-33	138	7	,	,	PUNCT
biomedich-33	138	8	)	)	PUNCT
biomedich-33	139	1	=	=	SYM
biomedich-33	139	2	0	0	NUM
biomedich-33	139	3	,	,	PUNCT
biomedich-33	139	4	∗	∗	NOUN
biomedich-33	139	5	and	and	CCONJ
biomedich-33	139	6	(	(	PUNCT
biomedich-33	139	7	ℎ	ℎ	PROPN
biomedich-33	139	8	,	,	PUNCT
biomedich-33	139	9	)	)	PUNCT
biomedich-33	140	1	=	=	SYM
biomedich-33	140	2	∗	∗	NOUN
biomedich-33	140	3	,	,	PUNCT
biomedich-33	140	4	0	0	NUM
biomedich-33	140	5	theorem	theorem	VERB
biomedich-33	140	6	if	if	SCONJ
biomedich-33	140	7	∗	∗	NOUN
biomedich-33	140	8	>	>	X
biomedich-33	140	9	,	,	PUNCT
biomedich-33	140	10	∗	∗	NOUN
biomedich-33	140	11	>	>	X
biomedich-33	140	12	(	(	PUNCT
biomedich-33	140	13	+	+	CCONJ
biomedich-33	140	14	)	)	PUNCT
biomedich-33	140	15	,	,	PUNCT
biomedich-33	140	16	∗∗	∗∗	PROPN
biomedich-33	140	17	>	>	X
biomedich-33	140	18	−	−	PROPN
biomedich-33	140	19	,	,	PUNCT
biomedich-33	140	20	∗∗	∗∗	X
biomedich-33	140	21	>	>	X
biomedich-33	140	22	and	and	CCONJ
biomedich-33	140	23	∗∗	∗∗	PROPN
biomedich-33	141	1	+	+	CCONJ
biomedich-33	141	2	−	−	X
biomedich-33	141	3	<	<	X
biomedich-33	141	4	∗∗	∗∗	PROPN
biomedich-33	142	1	−	−	NOUN
biomedich-33	142	2	then	then	ADV
biomedich-33	142	3	the	the	DET
biomedich-33	142	4	equilibrium	equilibrium	NOUN
biomedich-33	142	5	point	point	NOUN
biomedich-33	142	6	(	(	PUNCT
biomedich-33	142	7	ℎ	ℎ	X
biomedich-33	142	8	,	,	PUNCT
biomedich-33	142	9	)	)	PUNCT
biomedich-33	142	10	=	=	SYM
biomedich-33	142	11	0	0	NUM
biomedich-33	142	12	,	,	PUNCT
biomedich-33	142	13	∗	∗	NOUN
biomedich-33	142	14	local	local	ADJ
biomedich-33	142	15	asymptotically	asymptotically	ADV
biomedich-33	142	16	stable	stable	ADJ
biomedich-33	142	17	.	.	PUNCT
biomedich-33	143	1	theorem	theorem	NOUN
biomedich-33	143	2	if	if	SCONJ
biomedich-33	143	3	∗	∗	NOUN
biomedich-33	143	4	>	>	X
biomedich-33	143	5	,	,	PUNCT
biomedich-33	143	6	∗	∗	NOUN
biomedich-33	143	7	>	>	X
biomedich-33	143	8	(	(	PUNCT
biomedich-33	143	9	+	+	CCONJ
biomedich-33	143	10	)	)	PUNCT
biomedich-33	143	11	and	and	CCONJ
biomedich-33	143	12	(	(	PUNCT
biomedich-33	143	13	∗	∗	NOUN
biomedich-33	143	14	)	)	PUNCT
biomedich-33	143	15	∗	∗	NOUN
biomedich-33	143	16	−	−	PROPN
biomedich-33	143	17	<	<	X
biomedich-33	143	18	(	(	PUNCT
biomedich-33	143	19	∗	∗	NOUN
biomedich-33	143	20	)	)	PUNCT
biomedich-33	143	21	∗	∗	NOUN
biomedich-33	143	22	,	,	PUNCT
biomedich-33	143	23	and	and	CCONJ
biomedich-33	143	24	(	(	PUNCT
biomedich-33	143	25	∗	∗	NOUN
biomedich-33	143	26	)	)	PUNCT
biomedich-33	143	27	∗	∗	NOUN
biomedich-33	143	28	>	>	X
biomedich-33	144	1	then	then	ADV
biomedich-33	144	2	the	the	DET
biomedich-33	144	3	equilibrium	equilibrium	NOUN
biomedich-33	144	4	point	point	NOUN
biomedich-33	144	5			PROPN
biomedich-33	144	6			PUNCT
biomedich-33	144	7			PROPN
biomedich-33	144	8			NUM
biomedich-33	144	9			PRON
biomedich-33	144	10			PROPN
biomedich-33	144	11			PROPN
biomedich-33	144	12			NOUN
biomedich-33	144	13			NUM
biomedich-33	144	14			PROPN
biomedich-33	144	15	dbaa	dbaa	PROPN
biomedich-33	144	16	ar	ar	PROPN
biomedich-33	144	17	dbaa	dbaa	PROPN
biomedich-33	144	18	dph	dph	PROPN
biomedich-33	144	19	*	*	PUNCT
biomedich-33	144	20	*	*	PROPN
biomedich-33	144	21	33	33	NUM
biomedich-33	144	22	,	,	PUNCT
biomedich-33	144	23	,	,	PUNCT
biomedich-33	144	24	local	local	ADJ
biomedich-33	144	25	asymptotically	asymptotically	ADV
biomedich-33	144	26	stable	stable	ADJ
biomedich-33	144	27	.	.	PUNCT
biomedich-33	145	1	theorem	theorem	VERB
biomedich-33	145	2	if	if	SCONJ
biomedich-33	145	3	0d	0d	X
biomedich-33	145	4	d	d	X
biomedich-33	145	5	r	r	NOUN
biomedich-33	145	6	a	a	DET
biomedich-33	145	7			NOUN
biomedich-33	145	8			NOUN
biomedich-33	145	9			PROPN
biomedich-33	145	10			X
biomedich-33	145	11			PROPN
biomedich-33	145	12			ADJ
biomedich-33	145	13			NOUN
biomedich-33	145	14	and	and	CCONJ
biomedich-33	145	15	2	2	NUM
biomedich-33	145	16	4d	4d	NOUN
biomedich-33	145	17	rdd	rdd	NOUN
biomedich-33	145	18	r	r	PROPN
biomedich-33	145	19	rd	rd	PROPN
biomedich-33	145	20	a	a	DET
biomedich-33	145	21	a	a	DET
biomedich-33	145	22			NOUN
biomedich-33	145	23			PROPN
biomedich-33	145	24			NOUN
biomedich-33	145	25			VERB
biomedich-33	145	26			PROPN
biomedich-33	146	1			PROPN
biomedich-33	146	2			PROPN
biomedich-33	146	3			PROPN
biomedich-33	147	1			PROPN
biomedich-33	147	2			PROPN
biomedich-33	148	1			PROPN
biomedich-33	148	2			PROPN
biomedich-33	148	3			PROPN
biomedich-33	148	4			NOUN
biomedich-33	148	5	then	then	ADV
biomedich-33	148	6	the	the	DET
biomedich-33	148	7	equilibrium	equilibrium	NOUN
biomedich-33	148	8	point	point	NOUN
biomedich-33	148	9			NOUN
biomedich-33	148	10	2	2	ADP
biomedich-33	148	11	2	2	NUM
biomedich-33	148	12	*	*	NOUN
biomedich-33	148	13	,	,	PUNCT
biomedich-33	148	14	,	,	PUNCT
biomedich-33	148	15	0dh	0dh	NOUN
biomedich-33	148	16	p	p	NOUN
biomedich-33	149	1	a	a	DET
biomedich-33	149	2	a	a	DET
biomedich-33	149	3	db	db	PROPN
biomedich-33	149	4			NOUN
biomedich-33	149	5			PROPN
biomedich-33	149	6			PROPN
biomedich-33	149	7			NOUN
biomedich-33	149	8			NOUN
biomedich-33	149	9	unstable	unstable	ADJ
biomedich-33	149	10	.	.	PUNCT
biomedich-33	150	1	conclusion	conclusion	NOUN
biomedich-33	150	2	the	the	DET
biomedich-33	150	3	following	follow	VERB
biomedich-33	150	4	will	will	AUX
biomedich-33	150	5	be	be	AUX
biomedich-33	150	6	given	give	VERB
biomedich-33	150	7	some	some	DET
biomedich-33	150	8	conclusions	conclusion	NOUN
biomedich-33	150	9	related	relate	VERB
biomedich-33	150	10	to	to	ADP
biomedich-33	150	11	this	this	DET
biomedich-33	150	12	research	research	NOUN
biomedich-33	150	13	.	.	PUNCT
biomedich-33	151	1	1	1	X
biomedich-33	151	2	.	.	X
biomedich-33	151	3	from	from	ADP
biomedich-33	151	4	the	the	DET
biomedich-33	151	5	system	system	NOUN
biomedich-33	151	6	of	of	ADP
biomedich-33	151	7	differential	differential	ADJ
biomedich-33	151	8	equations	equation	NOUN
biomedich-33	151	9	interaction	interaction	NOUN
biomedich-33	151	10	of	of	ADP
biomedich-33	151	11	two	two	NUM
biomedich-33	151	12	species	specie	NOUN
biomedich-33	151	13	,	,	PUNCT
biomedich-33	151	14	namely:=	namely:=	NOUN
biomedich-33	151	15	ℎ	ℎ	PROPN
biomedich-33	151	16	−	−	PROPN
biomedich-33	151	17	∗	∗	NOUN
biomedich-33	151	18	and	and	CCONJ
biomedich-33	151	19	=	=	NOUN
biomedich-33	151	20	∗	∗	NOUN
biomedich-33	151	21	−	−	PROPN
biomedich-33	151	22	obtained	obtain	VERB
biomedich-33	151	23	equilibrium	equilibrium	NOUN
biomedich-33	151	24	points(ℎ	points(ℎ	NOUN
biomedich-33	151	25	,	,	PUNCT
biomedich-33	151	26	)	)	PUNCT
biomedich-33	152	1	=	=	SYM
biomedich-33	152	2	0	0	NUM
biomedich-33	152	3	,	,	PUNCT
biomedich-33	152	4	∗	∗	NOUN
biomedich-33	152	5	,	,	PUNCT
biomedich-33	152	6	(	(	PUNCT
biomedich-33	152	7	ℎ	ℎ	X
biomedich-33	152	8	,	,	PUNCT
biomedich-33	152	9	)	)	PUNCT
biomedich-33	153	1	=	=	SYM
biomedich-33	153	2	∗	∗	NOUN
biomedich-33	153	3	,	,	PUNCT
biomedich-33	153	4	∗	∗	NOUN
biomedich-33	153	5	and	and	CCONJ
biomedich-33	153	6	(	(	PUNCT
biomedich-33	153	7	ℎ	ℎ	PROPN
biomedich-33	153	8	,	,	PUNCT
biomedich-33	153	9	)	)	PUNCT
biomedich-33	154	1	=	=	SYM
biomedich-33	154	2	∗	∗	NOUN
biomedich-33	154	3	,	,	PUNCT
biomedich-33	154	4	0	0	NUM
biomedich-33	154	5	.	.	PUNCT
biomedich-33	155	1	2	2	X
biomedich-33	155	2	.	.	X
biomedich-33	155	3	if	if	SCONJ
biomedich-33	155	4	∗	∗	NOUN
biomedich-33	155	5	>	>	X
biomedich-33	155	6	,	,	PUNCT
biomedich-33	155	7	∗	∗	NOUN
biomedich-33	155	8	>	>	X
biomedich-33	156	1	(	(	PUNCT
biomedich-33	156	2	+	+	CCONJ
biomedich-33	156	3	)	)	PUNCT
biomedich-33	156	4	,	,	PUNCT
biomedich-33	156	5	∗∗	∗∗	PROPN
biomedich-33	156	6	>	>	X
biomedich-33	156	7	−	−	PROPN
biomedich-33	156	8	,	,	PUNCT
biomedich-33	156	9	∗∗	∗∗	X
biomedich-33	156	10	>	>	X
biomedich-33	156	11	and	and	CCONJ
biomedich-33	156	12	∗∗	∗∗	PROPN
biomedich-33	157	1	+	+	CCONJ
biomedich-33	157	2	−	−	X
biomedich-33	157	3	<	<	X
biomedich-33	157	4	4	4	NUM
biomedich-33	157	5	∗∗	∗∗	PROPN
biomedich-33	157	6	,	,	PUNCT
biomedich-33	157	7	,	,	PUNCT
biomedich-33	157	8	then	then	ADV
biomedich-33	157	9	the	the	DET
biomedich-33	157	10	equilibrium	equilibrium	NOUN
biomedich-33	157	11	point	point	NOUN
biomedich-33	157	12	(	(	PUNCT
biomedich-33	157	13	ℎ	ℎ	X
biomedich-33	157	14	,	,	PUNCT
biomedich-33	157	15	)	)	PUNCT
biomedich-33	157	16	=	=	SYM
biomedich-33	157	17	0	0	NUM
biomedich-33	157	18	,	,	PUNCT
biomedich-33	157	19	∗	∗	NOUN
biomedich-33	157	20	local	local	ADJ
biomedich-33	157	21	asymptotically	asymptotically	ADV
biomedich-33	157	22	stable	stable	ADJ
biomedich-33	157	23	.	.	PUNCT
biomedich-33	158	1	3	3	X
biomedich-33	158	2	.	.	X
biomedich-33	159	1	if	if	SCONJ
biomedich-33	159	2	∗∗	∗∗	PROPN
biomedich-33	160	1	+	+	CCONJ
biomedich-33	160	2	−	−	X
biomedich-33	160	3	<	<	X
biomedich-33	160	4	4	4	NUM
biomedich-33	160	5	∗∗	∗∗	PROPN
biomedich-33	160	6	,	,	PUNCT
biomedich-33	160	7	,	,	PUNCT
biomedich-33	160	8	∗∗	∗∗	X
biomedich-33	160	9	>	>	X
biomedich-33	160	10	−	−	PROPN
biomedich-33	160	11	,	,	PUNCT
biomedich-33	160	12	and	and	CCONJ
biomedich-33	160	13	∗∗	∗∗	X
biomedich-33	160	14	>	>	X
biomedich-33	160	15	thenë	thenë	NOUN
biomedich-33	160	16	,	,	PUNCT
biomedich-33	161	1	=	=	PUNCT
biomedich-33	161	2	∗∗	∗∗	NOUN
biomedich-33	161	3	±	±	NUM
biomedich-33	162	1	∗∗	∗∗	X
biomedich-33	162	2	∗∗	∗∗	X
biomedich-33	162	3	have	have	VERB
biomedich-33	162	4	a	a	DET
biomedich-33	162	5	negative	negative	ADJ
biomedich-33	162	6	real	real	ADJ
biomedich-33	162	7	part	part	NOUN
biomedich-33	162	8	.	.	PUNCT
biomedich-33	163	1	so	so	ADV
biomedich-33	163	2	based	base	VERB
biomedich-33	163	3	on	on	ADP
biomedich-33	163	4	the	the	DET
biomedich-33	163	5	equilibrium	equilibrium	NOUN
biomedich-33	163	6	point	point	NOUN
biomedich-33	163	7	theorem	theorem	NOUN
biomedich-33	163	8	(	(	PUNCT
biomedich-33	163	9	ℎ	ℎ	X
biomedich-33	163	10	,	,	PUNCT
biomedich-33	163	11	)	)	PUNCT
biomedich-33	163	12	=	=	SYM
biomedich-33	163	13	0	0	NUM
biomedich-33	163	14	,	,	PUNCT
biomedich-33	163	15	∗	∗	NOUN
biomedich-33	163	16	local	local	ADJ
biomedich-33	163	17	asymptotically	asymptotically	ADV
biomedich-33	163	18	stable	stable	ADJ
biomedich-33	163	19	.	.	PUNCT
biomedich-33	164	1	4	4	X
biomedich-33	164	2	.	.	X
biomedich-33	164	3	by	by	ADP
biomedich-33	164	4	theorem	theorem	NOUN
biomedich-33	164	5	if	if	SCONJ
biomedich-33	164	6	:	:	PUNCT
biomedich-33	164	7	∗	∗	NOUN
biomedich-33	164	8	>	>	X
biomedich-33	164	9	,	,	PUNCT
biomedich-33	164	10	∗	∗	NOUN
biomedich-33	164	11	>	>	X
biomedich-33	164	12	(	(	PUNCT
biomedich-33	164	13	+	+	CCONJ
biomedich-33	164	14	)	)	PUNCT
biomedich-33	164	15	,	,	PUNCT
biomedich-33	164	16	∗∗	∗∗	PROPN
biomedich-33	164	17	>	>	X
biomedich-33	164	18	−	−	PROPN
biomedich-33	165	1	,	,	PUNCT
biomedich-33	165	2	∗∗	∗∗	X
biomedich-33	165	3	>	>	X
biomedich-33	165	4	and	and	CCONJ
biomedich-33	165	5	∗∗	∗∗	PROPN
biomedich-33	166	1	+	+	CCONJ
biomedich-33	166	2	−	−	NOUN
biomedich-33	166	3	<	<	X
biomedich-33	166	4	4	4	NUM
biomedich-33	166	5	∗∗	∗∗	NOUN
biomedich-33	166	6	−	−	NOUN
biomedich-33	166	7	,	,	PUNCT
biomedich-33	166	8	then	then	ADV
biomedich-33	166	9	at	at	ADP
biomedich-33	166	10	the	the	DET
biomedich-33	166	11	beginning	beginning	NOUN
biomedich-33	166	12	of	of	ADP
biomedich-33	166	13	time	time	NOUN
biomedich-33	166	14	very	very	ADV
biomedich-33	166	15	small	small	ADJ
biomedich-33	166	16	number	number	NOUN
biomedich-33	166	17	of	of	ADP
biomedich-33	166	18	host	host	NOUN
biomedich-33	166	19	population	population	NOUN
biomedich-33	166	20	,	,	PUNCT
biomedich-33	166	21	while	while	SCONJ
biomedich-33	166	22	close	close	ADJ
biomedich-33	166	23	to	to	ADP
biomedich-33	166	24	the	the	DET
biomedich-33	166	25	parasitoid	parasitoid	NOUN
biomedich-33	166	26	population	population	NOUN
biomedich-33	166	27	∗	∗	NOUN
biomedich-33	166	28	.	.	PUNCT
biomedich-33	167	1	so	so	ADV
biomedich-33	167	2	for	for	ADP
biomedich-33	167	3	a	a	DET
biomedich-33	167	4	long	long	ADJ
biomedich-33	167	5	time	time	NOUN
biomedich-33	167	6	,	,	PUNCT
biomedich-33	167	7	the	the	DET
biomedich-33	167	8	parasitoid	parasitoid	NOUN
biomedich-33	167	9	population	population	NOUN
biomedich-33	167	10	will	will	AUX
biomedich-33	167	11	approach∗	approach∗	VERB
biomedich-33	167	12	while	while	SCONJ
biomedich-33	167	13	the	the	DET
biomedich-33	167	14	host	host	NOUN
biomedich-33	167	15	population	population	NOUN
biomedich-33	167	16	will	will	AUX
biomedich-33	167	17	become	become	VERB
biomedich-33	167	18	extinct	extinct	ADJ
biomedich-33	167	19	.	.	PUNCT
biomedich-33	168	1	14	14	NUM
biomedich-33	168	2	biology	biology	NOUN
biomedich-33	168	3	,	,	PUNCT
biomedich-33	168	4	medicine	medicine	NOUN
biomedich-33	168	5	,	,	PUNCT
biomedich-33	168	6	&	&	CCONJ
biomedich-33	168	7	natural	natural	ADJ
biomedich-33	168	8	product	product	NOUN
biomedich-33	168	9	chemistry	chemistry	NOUN
biomedich-33	168	10	5	5	NUM
biomedich-33	168	11	(	(	PUNCT
biomedich-33	168	12	1	1	NUM
biomedich-33	168	13	)	)	PUNCT
biomedich-33	168	14	,	,	PUNCT
biomedich-33	168	15	2016	2016	NUM
biomedich-33	168	16	:	:	PUNCT
biomedich-33	168	17	9	9	NUM
biomedich-33	168	18	-	-	SYM
biomedich-33	168	19	14	14	NUM
biomedich-33	168	20	5	5	NUM
biomedich-33	168	21	.	.	PUNCT
biomedich-33	169	1	if	if	SCONJ
biomedich-33	169	2	∗	∗	NOUN
biomedich-33	169	3	>	>	X
biomedich-33	169	4	,	,	PUNCT
biomedich-33	169	5	∗	∗	NOUN
biomedich-33	169	6	>	>	X
biomedich-33	169	7	(	(	PUNCT
biomedich-33	169	8	+	+	CCONJ
biomedich-33	169	9	)	)	PUNCT
biomedich-33	169	10	,	,	PUNCT
biomedich-33	169	11	and	and	CCONJ
biomedich-33	169	12	(	(	PUNCT
biomedich-33	169	13	∗	∗	NOUN
biomedich-33	169	14	)	)	PUNCT
biomedich-33	169	15	∗	∗	NOUN
biomedich-33	169	16	−	−	NOUN
biomedich-33	169	17	<	<	X
biomedich-33	169	18	(	(	PUNCT
biomedich-33	169	19	∗	∗	NOUN
biomedich-33	169	20	)	)	PUNCT
biomedich-33	169	21	∗	∗	NOUN
biomedich-33	169	22	,	,	PUNCT
biomedich-33	169	23	and	and	CCONJ
biomedich-33	169	24	(	(	PUNCT
biomedich-33	169	25	∗	∗	NOUN
biomedich-33	169	26	)	)	PUNCT
biomedich-33	169	27	∗	∗	NOUN
biomedich-33	169	28	>	>	X
biomedich-33	170	1	then	then	ADV
biomedich-33	170	2	the	the	DET
biomedich-33	170	3	equilibrium	equilibrium	NOUN
biomedich-33	170	4	point	point	NOUN
biomedich-33	170	5	(	(	PUNCT
biomedich-33	170	6	ℎ	ℎ	X
biomedich-33	170	7	,	,	PUNCT
biomedich-33	170	8	)	)	PUNCT
biomedich-33	171	1	=	=	SYM
biomedich-33	171	2	∗	∗	NOUN
biomedich-33	171	3	,	,	PUNCT
biomedich-33	171	4	∗	∗	NOUN
biomedich-33	171	5	local	local	ADJ
biomedich-33	171	6	asymptotically	asymptotically	ADV
biomedich-33	171	7	stable	stable	ADJ
biomedich-33	171	8	.	.	PUNCT
biomedich-33	172	1	because	because	SCONJ
biomedich-33	172	2	(	(	PUNCT
biomedich-33	172	3	ℎ	ℎ	X
biomedich-33	172	4	,	,	PUNCT
biomedich-33	172	5	)	)	PUNCT
biomedich-33	172	6	=	=	NOUN
biomedich-33	172	7	∗	∗	NOUN
biomedich-33	172	8	,	,	PUNCT
biomedich-33	172	9	∗	∗	NOUN
biomedich-33	172	10	have	have	VERB
biomedich-33	172	11	negative	negative	ADJ
biomedich-33	172	12	real	real	ADJ
biomedich-33	172	13	part	part	NOUN
biomedich-33	172	14	,	,	PUNCT
biomedich-33	172	15	the	the	DET
biomedich-33	172	16	equilibrium	equilibrium	NOUN
biomedich-33	172	17	point	point	NOUN
biomedich-33	172	18	(	(	PUNCT
biomedich-33	172	19	ℎ	ℎ	X
biomedich-33	172	20	,	,	PUNCT
biomedich-33	172	21	)	)	PUNCT
biomedich-33	172	22	=	=	SYM
biomedich-33	172	23	∗	∗	NOUN
biomedich-33	172	24	,	,	PUNCT
biomedich-33	172	25	∗	∗	NOUN
biomedich-33	172	26	local	local	ADJ
biomedich-33	172	27	asymptotically	asymptotically	ADV
biomedich-33	172	28	stable	stable	ADJ
biomedich-33	172	29	.	.	PUNCT
biomedich-33	173	1	by	by	ADP
biomedich-33	173	2	theorem	theorem	NOUN
biomedich-33	173	3	if	if	SCONJ
biomedich-33	173	4	:	:	PUNCT
biomedich-33	173	5	(	(	PUNCT
biomedich-33	173	6	∗	∗	NOUN
biomedich-33	173	7	)	)	PUNCT
biomedich-33	173	8	∗	∗	NOUN
biomedich-33	173	9	−	−	PROPN
biomedich-33	173	10	−	−	PROPN
biomedich-33	173	11	(	(	PUNCT
biomedich-33	173	12	∗	∗	NOUN
biomedich-33	173	13	)	)	PUNCT
biomedich-33	173	14	∗	∗	NOUN
biomedich-33	173	15	,	,	PUNCT
biomedich-33	173	16	∗	∗	NOUN
biomedich-33	173	17	>	>	X
biomedich-33	173	18	,	,	PUNCT
biomedich-33	173	19	∗	∗	NOUN
biomedich-33	173	20	>	>	X
biomedich-33	173	21	(	(	PUNCT
biomedich-33	173	22	+	+	CCONJ
biomedich-33	173	23	)	)	PUNCT
biomedich-33	173	24	,	,	PUNCT
biomedich-33	173	25	and	and	CCONJ
biomedich-33	173	26	(	(	PUNCT
biomedich-33	173	27	∗	∗	NOUN
biomedich-33	173	28	)	)	PUNCT
biomedich-33	173	29	∗	∗	NOUN
biomedich-33	173	30	>	>	X
biomedich-33	173	31	,	,	PUNCT
biomedich-33	173	32	then	then	ADV
biomedich-33	173	33	at	at	ADP
biomedich-33	173	34	the	the	DET
biomedich-33	173	35	beginning	beginning	NOUN
biomedich-33	173	36	of	of	ADP
biomedich-33	173	37	time	time	NOUN
biomedich-33	173	38	close	close	ADV
biomedich-33	173	39	to	to	ADP
biomedich-33	173	40	the	the	DET
biomedich-33	173	41	host	host	NOUN
biomedich-33	173	42	population∗	population∗	NOUN
biomedich-33	173	43	while	while	SCONJ
biomedich-33	173	44	close	close	ADJ
biomedich-33	173	45	to	to	ADP
biomedich-33	173	46	the	the	DET
biomedich-33	173	47	parasitoid	parasitoid	NOUN
biomedich-33	173	48	population	population	NOUN
biomedich-33	173	49	∗	∗	NOUN
biomedich-33	173	50	.	.	PUNCT
biomedich-33	174	1	so	so	ADV
biomedich-33	174	2	for	for	ADP
biomedich-33	174	3	a	a	DET
biomedich-33	174	4	long	long	ADJ
biomedich-33	174	5	time	time	NOUN
biomedich-33	174	6	,	,	PUNCT
biomedich-33	174	7	will	will	AUX
biomedich-33	174	8	host	host	VERB
biomedich-33	174	9	population	population	NOUN
biomedich-33	174	10	approaching	approach	VERB
biomedich-33	174	11	∗	∗	NOUN
biomedich-33	174	12	and	and	CCONJ
biomedich-33	174	13	the	the	DET
biomedich-33	174	14	parasitoid	parasitoid	NOUN
biomedich-33	174	15	population	population	NOUN
biomedich-33	174	16	will	will	AUX
biomedich-33	174	17	approach	approach	VERB
biomedich-33	174	18	∗	∗	NOUN
biomedich-33	174	19	.	.	PUNCT
biomedich-33	175	1	if	if	SCONJ
biomedich-33	175	2	+	+	X
biomedich-33	175	3	+	+	CCONJ
biomedich-33	175	4	>	>	X
biomedich-33	175	5	0	0	PUNCT
biomedich-33	176	1	and+	and+	VERB
biomedich-33	176	2	+	+	X
biomedich-33	176	3	>	>	X
biomedich-33	176	4	4	4	NUM
biomedich-33	177	1	+	+	CCONJ
biomedich-33	177	2	then	then	ADV
biomedich-33	177	3	the	the	DET
biomedich-33	177	4	equilibrium	equilibrium	NOUN
biomedich-33	177	5	point	point	NOUN
biomedich-33	177	6	(	(	PUNCT
biomedich-33	177	7	ℎ	ℎ	X
biomedich-33	177	8	,	,	PUNCT
biomedich-33	177	9	)	)	PUNCT
biomedich-33	178	1	=	=	SYM
biomedich-33	178	2	∗	∗	NOUN
biomedich-33	178	3	,	,	PUNCT
biomedich-33	178	4	0	0	PUNCT
biomedich-33	178	5	unstable	unstable	ADJ
biomedich-33	178	6	.	.	PUNCT
biomedich-33	179	1	references	reference	NOUN
biomedich-33	179	2	anton	anton	PROPN
biomedich-33	179	3	,	,	PUNCT
biomedich-33	179	4	h.	h.	PROPN
biomedich-33	179	5	and	and	CCONJ
biomedich-33	179	6	rorres	rorre	VERB
biomedich-33	179	7	,	,	PUNCT
biomedich-33	179	8	c.	c.	NOUN
biomedich-33	179	9	,	,	PUNCT
biomedich-33	179	10	2014	2014	NUM
biomedich-33	179	11	,	,	PUNCT
biomedich-33	179	12	elementary	elementary	ADJ
biomedich-33	179	13	linear	linear	PROPN
biomedich-33	179	14	algebra	algebra	PROPN
biomedich-33	179	15	,	,	PUNCT
biomedich-33	179	16	john	john	PROPN
biomedich-33	179	17	wiley	wiley	PROPN
biomedich-33	179	18	&	&	CCONJ
biomedich-33	179	19	sons	sons	PROPN
biomedich-33	179	20	,	,	PUNCT
biomedich-33	179	21	inc	inc	PROPN
biomedich-33	179	22	.	.	PROPN
biomedich-33	179	23	,	,	PUNCT
biomedich-33	179	24	new	new	PROPN
biomedich-33	179	25	york	york	PROPN
biomedich-33	179	26	.	.	PUNCT
biomedich-33	180	1	boyce	boyce	PROPN
biomedich-33	180	2	,	,	PUNCT
biomedich-33	180	3	w.e	w.e	PROPN
biomedich-33	180	4	.	.	PROPN
biomedich-33	180	5	&	&	CCONJ
biomedich-33	180	6	diprima	diprima	PROPN
biomedich-33	180	7	r.c	r.c	PROPN
biomedich-33	180	8	.	.	PROPN
biomedich-33	180	9	2001	2001	NUM
biomedich-33	180	10	.	.	PUNCT
biomedich-33	181	1	elementary	elementary	ADJ
biomedich-33	181	2	differential	differential	PROPN
biomedich-33	181	3	equations	equation	NOUN
biomedich-33	181	4	and	and	CCONJ
biomedich-33	181	5	boundary	boundary	ADJ
biomedich-33	181	6	value	value	NOUN
biomedich-33	181	7	problems	problem	NOUN
biomedich-33	181	8	.	.	PUNCT
biomedich-33	182	1	seventh	seventh	PROPN
biomedich-33	182	2	edition	edition	PROPN
biomedich-33	182	3	,	,	PUNCT
biomedich-33	182	4	john	john	PROPN
biomedich-33	182	5	wiley	wiley	PROPN
biomedich-33	182	6	&	&	CCONJ
biomedich-33	182	7	sons	son	NOUN
biomedich-33	182	8	:	:	PUNCT
biomedich-33	182	9	new	new	PROPN
biomedich-33	182	10	york	york	PROPN
biomedich-33	182	11	.	.	PUNCT
biomedich-33	183	1	edelstein	edelstein	PROPN
biomedich-33	183	2	,	,	PUNCT
biomedich-33	183	3	l.	l.	PROPN
biomedich-33	183	4	,	,	PUNCT
biomedich-33	183	5	keshet	keshet	PROPN
biomedich-33	183	6	,	,	PUNCT
biomedich-33	183	7	2005	2005	NUM
biomedich-33	183	8	,	,	PUNCT
biomedich-33	183	9	mathematical	mathematical	ADJ
biomedich-33	183	10	models	model	NOUN
biomedich-33	183	11	in	in	ADP
biomedich-33	183	12	biology	biology	NOUN
biomedich-33	183	13	,	,	PUNCT
biomedich-33	183	14	siam	siam	PROPN
biomedich-33	183	15	,	,	PUNCT
biomedich-33	183	16	new	new	PROPN
biomedich-33	183	17	york	york	PROPN
biomedich-33	183	18	.	.	PUNCT
biomedich-33	183	19	haberman	haberman	PROPN
biomedich-33	183	20	,	,	PUNCT
biomedich-33	183	21	r.	r.	PROPN
biomedich-33	183	22	1977	1977	NUM
biomedich-33	183	23	.	.	PUNCT
biomedich-33	184	1	mathematical	mathematical	ADJ
biomedich-33	184	2	models	model	NOUN
biomedich-33	184	3	in	in	ADP
biomedich-33	184	4	mechanical	mechanical	ADJ
biomedich-33	184	5	vibrations	vibration	NOUN
biomedich-33	184	6	,	,	PUNCT
biomedich-33	184	7	population	population	NOUN
biomedich-33	184	8	dynamics	dynamic	NOUN
biomedich-33	184	9	,	,	PUNCT
biomedich-33	184	10	and	and	CCONJ
biomedich-33	184	11	traffic	traffic	NOUN
biomedich-33	184	12	flow	flow	NOUN
biomedich-33	184	13	.	.	PUNCT
biomedich-33	185	1	prenticehall	prenticehall	NOUN
biomedich-33	185	2	:	:	PUNCT
biomedich-33	185	3	new	new	PROPN
biomedich-33	185	4	jersey	jersey	PROPN
biomedich-33	185	5	.	.	PUNCT
biomedich-33	186	1	hanh	hanh	PROPN
biomedich-33	186	2	,	,	PUNCT
biomedich-33	186	3	w.	w.	PROPN
biomedich-33	186	4	,	,	PUNCT
biomedich-33	186	5	1967	1967	NUM
biomedich-33	186	6	,	,	PUNCT
biomedich-33	186	7	stability	stability	NOUN
biomedich-33	186	8	of	of	ADP
biomedich-33	186	9	motion	motion	NOUN
biomedich-33	186	10	,	,	PUNCT
biomedich-33	186	11	springer	springer	NOUN
biomedich-33	186	12	-	-	PUNCT
biomedich-33	186	13	verlag	verlag	PROPN
biomedich-33	186	14	,	,	PUNCT
biomedich-33	186	15	new	new	PROPN
biomedich-33	186	16	york	york	PROPN
biomedich-33	186	17	.	.	PUNCT
biomedich-33	187	1	hale	hale	PROPN
biomedich-33	187	2	,	,	PUNCT
biomedich-33	187	3	j.	j.	PROPN
biomedich-33	187	4	k.	k.	PROPN
biomedich-33	187	5	&	&	CCONJ
biomedich-33	187	6	h.	h.	PROPN
biomedich-33	187	7	kocak	kocak	PROPN
biomedich-33	187	8	.	.	PUNCT
biomedich-33	187	9	1991	1991	NUM
biomedich-33	187	10	.	.	PUNCT
biomedich-33	188	1	dynamics	dynamic	NOUN
biomedich-33	188	2	and	and	CCONJ
biomedich-33	188	3	bifurcations	bifurcation	NOUN
biomedich-33	188	4	.	.	PUNCT
biomedich-33	189	1	new	new	PROPN
biomedich-33	189	2	york	york	PROPN
biomedich-33	189	3	:	:	PUNCT
biomedich-33	189	4	springer	springer	NOUN
biomedich-33	189	5	verlag	verlag	PROPN
biomedich-33	189	6	.	.	PUNCT
biomedich-33	190	1	kuznetsov	kuznetsov	PROPN
biomedich-33	190	2	,	,	PUNCT
biomedich-33	190	3	y.a	y.a	PROPN
biomedich-33	190	4	.	.	PROPN
biomedich-33	190	5	,	,	PUNCT
biomedich-33	190	6	1998	1998	NUM
biomedich-33	190	7	,	,	PUNCT
biomedich-33	190	8	elements	element	NOUN
biomedich-33	190	9	of	of	ADP
biomedich-33	190	10	applied	applied	ADJ
biomedich-33	190	11	bifurcation	bifurcation	NOUN
biomedich-33	190	12	theory	theory	NOUN
biomedich-33	190	13	,	,	PUNCT
biomedich-33	190	14	springer	springer	NOUN
biomedich-33	190	15	-	-	PUNCT
biomedich-33	190	16	verlag	verlag	PROPN
biomedich-33	190	17	,	,	PUNCT
biomedich-33	190	18	new	new	PROPN
biomedich-33	190	19	york	york	PROPN
biomedich-33	190	20	.	.	PUNCT
biomedich-33	191	1	ni'mah	ni'mah	PROPN
biomedich-33	191	2	,	,	PUNCT
biomedich-33	191	3	khoirun	khoirun	NOUN
biomedich-33	191	4	,	,	PUNCT
biomedich-33	191	5	2015	2015	NUM
biomedich-33	191	6	,	,	PUNCT
biomedich-33	191	7	analysis	analysis	NOUN
biomedich-33	191	8	of	of	ADP
biomedich-33	191	9	model	model	NOUN
biomedich-33	191	10	s	s	PART
biomedich-33	191	11	-	-	PROPN
biomedich-33	191	12	i	i	NOUN
biomedich-33	191	13	-	-	PUNCT
biomedich-33	191	14	p	p	NOUN
biomedich-33	191	15	interaction	interaction	NOUN
biomedich-33	191	16	of	of	ADP
biomedich-33	191	17	two	two	NUM
biomedich-33	191	18	species	specie	NOUN
biomedich-33	191	19	predator	predator	NOUN
biomedich-33	191	20	-	-	PUNCT
biomedich-33	191	21	prey	prey	NOUN
biomedich-33	191	22	with	with	ADP
biomedich-33	191	23	response	response	NOUN
biomedich-33	191	24	function	function	NOUN
biomedich-33	191	25	holling	holle	VERB
biomedich-33	191	26	type	type	PROPN
biomedich-33	191	27	ii	ii	PROPN
biomedich-33	191	28	,	,	PUNCT
biomedich-33	191	29	semarang	semarang	PROPN
biomedich-33	191	30	state	state	PROPN
biomedich-33	191	31	university	university	PROPN
biomedich-33	191	32	.	.	PUNCT
biomedich-33	192	1	perko	perko	PROPN
biomedich-33	192	2	,	,	PUNCT
biomedich-33	192	3	l.	l.	PROPN
biomedich-33	192	4	,	,	PUNCT
biomedich-33	192	5	2001	2001	NUM
biomedich-33	192	6	.	.	PUNCT
biomedich-33	193	1	differential	differential	ADJ
biomedich-33	193	2	equations	equation	NOUN
biomedich-33	193	3	and	and	CCONJ
biomedich-33	193	4	dynamical	dynamical	ADJ
biomedich-33	193	5	systems	system	NOUN
biomedich-33	193	6	,	,	PUNCT
biomedich-33	193	7	springer	springer	NOUN
biomedich-33	193	8	-	-	PUNCT
biomedich-33	193	9	verlag	verlag	PROPN
biomedich-33	193	10	,	,	PUNCT
biomedich-33	193	11	new	new	PROPN
biomedich-33	193	12	york	york	PROPN
biomedich-33	193	13	.	.	PUNCT
biomedich-33	194	1	sulistyowati	sulistyowati	PROPN
biomedich-33	194	2	,	,	PUNCT
biomedich-33	194	3	e.	e.	PROPN
biomedich-33	194	4	et	et	PROPN
biomedich-33	194	5	al	al	PROPN
biomedich-33	194	6	.	.	PROPN
biomedich-33	194	7	,	,	PUNCT
biomedich-33	194	8	2001	2001	NUM
biomedich-33	194	9	,	,	PUNCT
biomedich-33	194	10	functional	functional	ADJ
biomedich-33	194	11	response	response	NOUN
biomedich-33	194	12	parasitoid	parasitoid	PROPN
biomedich-33	194	13	cephalonomia	cephalonomia	PROPN
biomedich-33	194	14	stephanoderis	stephanoderis	PROPN
biomedich-33	194	15	betr	betr	PROPN
biomedich-33	194	16	against	against	ADP
biomedich-33	194	17	coffee	coffee	NOUN
biomedich-33	194	18	fruit	fruit	NOUN
biomedich-33	194	19	powder	powder	NOUN
biomedich-33	194	20	,	,	PUNCT
biomedich-33	194	21	hypothenemus	hypothenemus	VERB
biomedich-33	194	22	hampei	hampei	PROPN
biomedich-33	194	23	ferr	ferr	NOUN
biomedich-33	194	24	,	,	PUNCT
biomedich-33	194	25	pest	pest	VERB
biomedich-33	194	26	plant	plant	NOUN
biomedich-33	194	27	science	science	NOUN
biomedich-33	194	28	program	program	NOUN
biomedich-33	194	29	,	,	PUNCT
biomedich-33	194	30	university	university	NOUN
biomedich-33	194	31	of	of	ADP
biomedich-33	194	32	gadjah	gadjah	PROPN
biomedich-33	194	33	mada	mada	PROPN
biomedich-33	194	34	.	.	PUNCT
biomedich-33	195	1	tarumingkeng	tarumingkeng	PROPN
biomedich-33	195	2	,	,	PUNCT
biomedich-33	195	3	r.c	r.c	PROPN
biomedich-33	195	4	.	.	PROPN
biomedich-33	195	5	,	,	PUNCT
biomedich-33	195	6	population	population	NOUN
biomedich-33	195	7	dynamics	dynamic	NOUN
biomedich-33	195	8	(	(	PUNCT
biomedich-33	195	9	quantitative	quantitative	ADJ
biomedich-33	195	10	ecological	ecological	ADJ
biomedich-33	195	11	assessment	assessment	NOUN
biomedich-33	195	12	)	)	PUNCT
biomedich-33	195	13	,	,	PUNCT
biomedich-33	195	14	1994	1994	NUM
biomedich-33	195	15	,	,	PUNCT
biomedich-33	195	16	pustaka	pustaka	ADJ
biomedich-33	195	17	sinar	sinar	PROPN
biomedich-33	195	18	harapan	harapan	PROPN
biomedich-33	195	19	and	and	CCONJ
biomedich-33	195	20	activities	activity	NOUN
biomedich-33	195	21	of	of	ADP
biomedich-33	195	22	discourse	discourse	NOUN
biomedich-33	195	23	christian	christian	PROPN
biomedich-33	195	24	university	university	PROPN
biomedich-33	195	25	,	,	PUNCT
biomedich-33	195	26	jakarta	jakarta	PROPN
biomedich-33	195	27	.	.	PUNCT