id	sid	tid	token	lemma	pos
ejpam-6711	1	1	european	european	PROPN
ejpam-6711	1	2	journal	journal	PROPN
ejpam-6711	1	3	of	of	ADP
ejpam-6711	1	4	pure	pure	ADJ
ejpam-6711	1	5	and	and	CCONJ
ejpam-6711	1	6	applied	applied	ADJ
ejpam-6711	1	7	mathematics	mathematic	NOUN
ejpam-6711	1	8	2025	2025	NUM
ejpam-6711	1	9	,	,	PUNCT
ejpam-6711	1	10	vol	vol	NOUN
ejpam-6711	1	11	.	.	PROPN
ejpam-6711	1	12	18	18	NUM
ejpam-6711	1	13	,	,	PUNCT
ejpam-6711	1	14	issue	issue	NOUN
ejpam-6711	1	15	4	4	NUM
ejpam-6711	1	16	,	,	PUNCT
ejpam-6711	1	17	article	article	NOUN
ejpam-6711	1	18	number	number	NOUN
ejpam-6711	1	19	6711	6711	NUM
ejpam-6711	1	20	issn	issn	VERB
ejpam-6711	1	21	1307	1307	NUM
ejpam-6711	1	22	-	-	SYM
ejpam-6711	1	23	5543	5543	NUM
ejpam-6711	1	24	–	–	PUNCT
ejpam-6711	1	25	ejpam.com	ejpam.com	X
ejpam-6711	1	26	published	publish	VERB
ejpam-6711	1	27	by	by	ADP
ejpam-6711	1	28	new	new	PROPN
ejpam-6711	1	29	york	york	PROPN
ejpam-6711	1	30	business	business	PROPN
ejpam-6711	1	31	global	global	PROPN
ejpam-6711	1	32	modeling	model	VERB
ejpam-6711	1	33	the	the	DET
ejpam-6711	1	34	spread	spread	NOUN
ejpam-6711	1	35	and	and	CCONJ
ejpam-6711	1	36	control	control	NOUN
ejpam-6711	1	37	of	of	ADP
ejpam-6711	1	38	drug	drug	NOUN
ejpam-6711	1	39	addiction	addiction	NOUN
ejpam-6711	1	40	:	:	PUNCT
ejpam-6711	1	41	a	a	DET
ejpam-6711	1	42	mathematical	mathematical	ADJ
ejpam-6711	1	43	and	and	CCONJ
ejpam-6711	1	44	sensitivity	sensitivity	NOUN
ejpam-6711	1	45	analysis	analysis	NOUN
ejpam-6711	1	46	approach	approach	NOUN
ejpam-6711	1	47	lubaba	lubaba	PROPN
ejpam-6711	1	48	yaseen1,∗	yaseen1,∗	PROPN
ejpam-6711	1	49	,	,	PUNCT
ejpam-6711	1	50	syeda	syeda	NOUN
ejpam-6711	1	51	alishwa	alishwa	PROPN
ejpam-6711	1	52	zanib1	zanib1	PROPN
ejpam-6711	1	53	,	,	PUNCT
ejpam-6711	1	54	nadeem	nadeem	PROPN
ejpam-6711	1	55	abbas2	abbas2	PROPN
ejpam-6711	1	56	,	,	PUNCT
ejpam-6711	1	57	wasfi	wasfi	NOUN
ejpam-6711	1	58	shatanawi2,3	shatanawi2,3	PROPN
ejpam-6711	1	59	1	1	NUM
ejpam-6711	1	60	department	department	NOUN
ejpam-6711	1	61	of	of	ADP
ejpam-6711	1	62	mathematics	mathematic	NOUN
ejpam-6711	1	63	,	,	PUNCT
ejpam-6711	1	64	riphah	riphah	PROPN
ejpam-6711	1	65	international	international	PROPN
ejpam-6711	1	66	university	university	PROPN
ejpam-6711	1	67	,	,	PUNCT
ejpam-6711	1	68	main	main	ADJ
ejpam-6711	1	69	satyana	satyana	ADJ
ejpam-6711	1	70	road	road	NOUN
ejpam-6711	1	71	,	,	PUNCT
ejpam-6711	1	72	faisalabad	faisalabad	PROPN
ejpam-6711	1	73	44000	44000	NUM
ejpam-6711	1	74	,	,	PUNCT
ejpam-6711	1	75	pakistan	pakistan	PROPN
ejpam-6711	1	76	2	2	NUM
ejpam-6711	1	77	department	department	NOUN
ejpam-6711	1	78	of	of	ADP
ejpam-6711	1	79	mathematics	mathematic	NOUN
ejpam-6711	1	80	and	and	CCONJ
ejpam-6711	1	81	sciences	science	NOUN
ejpam-6711	1	82	,	,	PUNCT
ejpam-6711	1	83	college	college	NOUN
ejpam-6711	1	84	of	of	ADP
ejpam-6711	1	85	humanities	humanity	NOUN
ejpam-6711	1	86	and	and	CCONJ
ejpam-6711	1	87	sciences	science	NOUN
ejpam-6711	1	88	,	,	PUNCT
ejpam-6711	1	89	prince	prince	PROPN
ejpam-6711	1	90	sultan	sultan	PROPN
ejpam-6711	1	91	university	university	PROPN
ejpam-6711	1	92	,	,	PUNCT
ejpam-6711	1	93	riyadh	riyadh	NOUN
ejpam-6711	1	94	,	,	PUNCT
ejpam-6711	1	95	11586	11586	NUM
ejpam-6711	1	96	,	,	PUNCT
ejpam-6711	1	97	saudi	saudi	PROPN
ejpam-6711	1	98	arabia	arabia	PROPN
ejpam-6711	1	99	3	3	NUM
ejpam-6711	1	100	department	department	NOUN
ejpam-6711	1	101	of	of	ADP
ejpam-6711	1	102	mathematics	mathematic	NOUN
ejpam-6711	1	103	,	,	PUNCT
ejpam-6711	1	104	faculty	faculty	NOUN
ejpam-6711	1	105	of	of	ADP
ejpam-6711	1	106	science	science	NOUN
ejpam-6711	1	107	,	,	PUNCT
ejpam-6711	1	108	the	the	DET
ejpam-6711	1	109	hashemite	hashemite	PROPN
ejpam-6711	1	110	university	university	PROPN
ejpam-6711	1	111	,	,	PUNCT
ejpam-6711	1	112	p.o	p.o	PROPN
ejpam-6711	1	113	box	box	PROPN
ejpam-6711	1	114	330127	330127	NUM
ejpam-6711	1	115	,	,	PUNCT
ejpam-6711	1	116	zarqa	zarqa	NOUN
ejpam-6711	1	117	13133	13133	NUM
ejpam-6711	1	118	,	,	PUNCT
ejpam-6711	1	119	jordan	jordan	PROPN
ejpam-6711	1	120	abstract	abstract	PROPN
ejpam-6711	1	121	.	.	PUNCT
ejpam-6711	2	1	this	this	DET
ejpam-6711	2	2	paper	paper	NOUN
ejpam-6711	2	3	presents	present	VERB
ejpam-6711	2	4	a	a	DET
ejpam-6711	2	5	comprehensive	comprehensive	ADJ
ejpam-6711	2	6	mathematical	mathematical	ADJ
ejpam-6711	2	7	model	model	NOUN
ejpam-6711	2	8	that	that	PRON
ejpam-6711	2	9	captures	capture	VERB
ejpam-6711	2	10	the	the	DET
ejpam-6711	2	11	dynamics	dynamic	NOUN
ejpam-6711	2	12	of	of	ADP
ejpam-6711	2	13	drug	drug	NOUN
ejpam-6711	2	14	addiction	addiction	NOUN
ejpam-6711	2	15	by	by	ADP
ejpam-6711	2	16	dividing	divide	VERB
ejpam-6711	2	17	the	the	DET
ejpam-6711	2	18	population	population	NOUN
ejpam-6711	2	19	into	into	ADP
ejpam-6711	2	20	distinct	distinct	ADJ
ejpam-6711	2	21	groups	group	NOUN
ejpam-6711	2	22	:	:	PUNCT
ejpam-6711	2	23	individuals	individual	NOUN
ejpam-6711	2	24	at	at	ADP
ejpam-6711	2	25	high	high	ADJ
ejpam-6711	2	26	and	and	CCONJ
ejpam-6711	2	27	low	low	ADJ
ejpam-6711	2	28	risk	risk	NOUN
ejpam-6711	2	29	of	of	ADP
ejpam-6711	2	30	addiction	addiction	NOUN
ejpam-6711	2	31	(	(	PUNCT
ejpam-6711	2	32	si	si	X
ejpam-6711	2	33	,	,	PUNCT
ejpam-6711	2	34	sd	sd	NOUN
ejpam-6711	2	35	)	)	PUNCT
ejpam-6711	2	36	,	,	PUNCT
ejpam-6711	2	37	those	those	DET
ejpam-6711	2	38	prone	prone	ADJ
ejpam-6711	2	39	to	to	ADP
ejpam-6711	2	40	addiction	addiction	NOUN
ejpam-6711	2	41	(	(	PUNCT
ejpam-6711	2	42	p	p	NOUN
ejpam-6711	2	43	)	)	PUNCT
ejpam-6711	2	44	,	,	PUNCT
ejpam-6711	2	45	active	active	ADJ
ejpam-6711	2	46	drug	drug	NOUN
ejpam-6711	2	47	users	user	NOUN
ejpam-6711	2	48	(	(	PUNCT
ejpam-6711	2	49	i	i	NOUN
ejpam-6711	2	50	d	d	PROPN
ejpam-6711	2	51	)	)	PUNCT
ejpam-6711	2	52	,	,	PUNCT
ejpam-6711	2	53	and	and	CCONJ
ejpam-6711	2	54	people	people	NOUN
ejpam-6711	2	55	receiving	receive	VERB
ejpam-6711	2	56	treatment	treatment	NOUN
ejpam-6711	2	57	either	either	CCONJ
ejpam-6711	2	58	in	in	ADP
ejpam-6711	2	59	hospital	hospital	NOUN
ejpam-6711	2	60	(	(	PUNCT
ejpam-6711	2	61	th	th	NOUN
ejpam-6711	2	62	)	)	PUNCT
ejpam-6711	2	63	or	or	CCONJ
ejpam-6711	2	64	through	through	ADP
ejpam-6711	2	65	outpatient	outpatient	NOUN
ejpam-6711	2	66	programs	program	NOUN
ejpam-6711	2	67	(	(	PUNCT
ejpam-6711	2	68	tp	tp	NOUN
ejpam-6711	2	69	)	)	PUNCT
ejpam-6711	2	70	,	,	PUNCT
ejpam-6711	2	71	as	as	ADV
ejpam-6711	2	72	well	well	ADV
ejpam-6711	2	73	as	as	ADP
ejpam-6711	2	74	those	those	PRON
ejpam-6711	2	75	who	who	PRON
ejpam-6711	2	76	have	have	AUX
ejpam-6711	2	77	recovered	recover	VERB
ejpam-6711	2	78	(	(	PUNCT
ejpam-6711	2	79	r	r	NOUN
ejpam-6711	2	80	)	)	PUNCT
ejpam-6711	2	81	.	.	PUNCT
ejpam-6711	3	1	the	the	DET
ejpam-6711	3	2	model	model	NOUN
ejpam-6711	3	3	effectively	effectively	ADV
ejpam-6711	3	4	describes	describe	VERB
ejpam-6711	3	5	how	how	SCONJ
ejpam-6711	3	6	individuals	individual	NOUN
ejpam-6711	3	7	move	move	VERB
ejpam-6711	3	8	between	between	ADP
ejpam-6711	3	9	these	these	DET
ejpam-6711	3	10	groups	group	NOUN
ejpam-6711	3	11	,	,	PUNCT
ejpam-6711	3	12	reflecting	reflect	VERB
ejpam-6711	3	13	the	the	DET
ejpam-6711	3	14	impact	impact	NOUN
ejpam-6711	3	15	of	of	ADP
ejpam-6711	3	16	behavioral	behavioral	ADJ
ejpam-6711	3	17	,	,	PUNCT
ejpam-6711	3	18	social	social	ADJ
ejpam-6711	3	19	,	,	PUNCT
ejpam-6711	3	20	and	and	CCONJ
ejpam-6711	3	21	medical	medical	ADJ
ejpam-6711	3	22	factors	factor	NOUN
ejpam-6711	3	23	on	on	ADP
ejpam-6711	3	24	the	the	DET
ejpam-6711	3	25	progression	progression	NOUN
ejpam-6711	3	26	of	of	ADP
ejpam-6711	3	27	addiction	addiction	NOUN
ejpam-6711	3	28	.	.	PUNCT
ejpam-6711	4	1	key	key	ADJ
ejpam-6711	4	2	analytical	analytical	ADJ
ejpam-6711	4	3	results	result	NOUN
ejpam-6711	4	4	include	include	VERB
ejpam-6711	4	5	the	the	DET
ejpam-6711	4	6	calculation	calculation	NOUN
ejpam-6711	4	7	of	of	ADP
ejpam-6711	4	8	the	the	DET
ejpam-6711	4	9	basic	basic	ADJ
ejpam-6711	4	10	reproduction	reproduction	NOUN
ejpam-6711	4	11	number	number	NOUN
ejpam-6711	4	12	r0	r0	NOUN
ejpam-6711	4	13	and	and	CCONJ
ejpam-6711	4	14	a	a	DET
ejpam-6711	4	15	sensitivity	sensitivity	NOUN
ejpam-6711	4	16	analysis	analysis	NOUN
ejpam-6711	4	17	that	that	PRON
ejpam-6711	4	18	identifies	identify	VERB
ejpam-6711	4	19	the	the	DET
ejpam-6711	4	20	most	most	ADV
ejpam-6711	4	21	significant	significant	ADJ
ejpam-6711	4	22	factors	factor	NOUN
ejpam-6711	4	23	that	that	PRON
ejpam-6711	4	24	influence	influence	VERB
ejpam-6711	4	25	the	the	DET
ejpam-6711	4	26	spread	spread	NOUN
ejpam-6711	4	27	and	and	CCONJ
ejpam-6711	4	28	control	control	NOUN
ejpam-6711	4	29	of	of	ADP
ejpam-6711	4	30	drug	drug	NOUN
ejpam-6711	4	31	abuse	abuse	NOUN
ejpam-6711	4	32	.	.	PUNCT
ejpam-6711	5	1	these	these	PRON
ejpam-6711	5	2	include	include	VERB
ejpam-6711	5	3	the	the	DET
ejpam-6711	5	4	transmission	transmission	NOUN
ejpam-6711	5	5	rate	rate	NOUN
ejpam-6711	5	6	(	(	PUNCT
ejpam-6711	5	7	β1	β1	PROPN
ejpam-6711	5	8	)	)	PUNCT
ejpam-6711	5	9	,	,	PUNCT
ejpam-6711	5	10	the	the	DET
ejpam-6711	5	11	rate	rate	NOUN
ejpam-6711	5	12	at	at	ADP
ejpam-6711	5	13	which	which	PRON
ejpam-6711	5	14	individuals	individual	NOUN
ejpam-6711	5	15	shift	shift	VERB
ejpam-6711	5	16	between	between	ADP
ejpam-6711	5	17	risk	risk	NOUN
ejpam-6711	5	18	levels	level	NOUN
ejpam-6711	5	19	(	(	PUNCT
ejpam-6711	5	20	∆	∆	PROPN
ejpam-6711	5	21	)	)	PUNCT
ejpam-6711	5	22	,	,	PUNCT
ejpam-6711	5	23	treatment	treatment	NOUN
ejpam-6711	5	24	effectiveness	effectiveness	NOUN
ejpam-6711	5	25	(	(	PUNCT
ejpam-6711	5	26	η	η	NOUN
ejpam-6711	5	27	)	)	PUNCT
ejpam-6711	5	28	,	,	PUNCT
ejpam-6711	5	29	and	and	CCONJ
ejpam-6711	5	30	especially	especially	ADV
ejpam-6711	5	31	the	the	DET
ejpam-6711	5	32	rate	rate	NOUN
ejpam-6711	5	33	at	at	ADP
ejpam-6711	5	34	which	which	PRON
ejpam-6711	5	35	treatment	treatment	NOUN
ejpam-6711	5	36	is	be	AUX
ejpam-6711	5	37	initiated	initiate	VERB
ejpam-6711	5	38	(	(	PUNCT
ejpam-6711	5	39	σ	σ	NOUN
ejpam-6711	5	40	)	)	PUNCT
ejpam-6711	5	41	.	.	PUNCT
ejpam-6711	6	1	through	through	ADP
ejpam-6711	6	2	numerical	numerical	ADJ
ejpam-6711	6	3	simulations	simulation	NOUN
ejpam-6711	6	4	,	,	PUNCT
ejpam-6711	6	5	the	the	DET
ejpam-6711	6	6	study	study	NOUN
ejpam-6711	6	7	shows	show	VERB
ejpam-6711	6	8	that	that	SCONJ
ejpam-6711	6	9	increasing	increase	VERB
ejpam-6711	6	10	the	the	DET
ejpam-6711	6	11	treatment	treatment	NOUN
ejpam-6711	6	12	initiation	initiation	NOUN
ejpam-6711	6	13	rate	rate	NOUN
ejpam-6711	6	14	as	as	ADP
ejpam-6711	6	15	a	a	DET
ejpam-6711	6	16	control	control	NOUN
ejpam-6711	6	17	strategy	strategy	NOUN
ejpam-6711	6	18	could	could	AUX
ejpam-6711	6	19	significantly	significantly	ADV
ejpam-6711	6	20	decrease	decrease	VERB
ejpam-6711	6	21	the	the	DET
ejpam-6711	6	22	number	number	NOUN
ejpam-6711	6	23	of	of	ADP
ejpam-6711	6	24	susceptible	susceptible	ADJ
ejpam-6711	6	25	individuals	individual	NOUN
ejpam-6711	6	26	and	and	CCONJ
ejpam-6711	6	27	lower	low	ADJ
ejpam-6711	6	28	overall	overall	ADJ
ejpam-6711	6	29	drug	drug	NOUN
ejpam-6711	6	30	addiction	addiction	NOUN
ejpam-6711	6	31	rates	rate	NOUN
ejpam-6711	6	32	.	.	PUNCT
ejpam-6711	7	1	visual	visual	ADJ
ejpam-6711	7	2	phase	phase	NOUN
ejpam-6711	7	3	portraits	portrait	NOUN
ejpam-6711	7	4	further	far	ADV
ejpam-6711	7	5	clarify	clarify	VERB
ejpam-6711	7	6	how	how	SCONJ
ejpam-6711	7	7	different	different	ADJ
ejpam-6711	7	8	groups	group	NOUN
ejpam-6711	7	9	interact	interact	VERB
ejpam-6711	7	10	over	over	ADP
ejpam-6711	7	11	time	time	NOUN
ejpam-6711	7	12	,	,	PUNCT
ejpam-6711	7	13	and	and	CCONJ
ejpam-6711	7	14	additional	additional	ADJ
ejpam-6711	7	15	parameter	parameter	NOUN
ejpam-6711	7	16	analysis	analysis	NOUN
ejpam-6711	7	17	underscores	underscore	VERB
ejpam-6711	7	18	the	the	DET
ejpam-6711	7	19	critical	critical	ADJ
ejpam-6711	7	20	roles	role	NOUN
ejpam-6711	7	21	of	of	ADP
ejpam-6711	7	22	transmission	transmission	NOUN
ejpam-6711	7	23	,	,	PUNCT
ejpam-6711	7	24	risk	risk	NOUN
ejpam-6711	7	25	changes	change	NOUN
ejpam-6711	7	26	,	,	PUNCT
ejpam-6711	7	27	and	and	CCONJ
ejpam-6711	7	28	particularly	particularly	ADV
ejpam-6711	7	29	treatment	treatment	NOUN
ejpam-6711	7	30	efforts	effort	NOUN
ejpam-6711	7	31	in	in	ADP
ejpam-6711	7	32	shaping	shape	VERB
ejpam-6711	7	33	addiction	addiction	NOUN
ejpam-6711	7	34	trends	trend	NOUN
ejpam-6711	7	35	.	.	PUNCT
ejpam-6711	8	1	these	these	DET
ejpam-6711	8	2	results	result	NOUN
ejpam-6711	8	3	highlight	highlight	VERB
ejpam-6711	8	4	the	the	DET
ejpam-6711	8	5	urgent	urgent	ADJ
ejpam-6711	8	6	requirement	requirement	NOUN
ejpam-6711	8	7	for	for	ADP
ejpam-6711	8	8	quick	quick	ADJ
ejpam-6711	8	9	and	and	CCONJ
ejpam-6711	8	10	effective	effective	ADJ
ejpam-6711	8	11	treatment	treatment	NOUN
ejpam-6711	8	12	-	-	PUNCT
ejpam-6711	8	13	based	base	VERB
ejpam-6711	8	14	approaches	approach	NOUN
ejpam-6711	8	15	,	,	PUNCT
ejpam-6711	8	16	offering	offer	VERB
ejpam-6711	8	17	insightful	insightful	ADJ
ejpam-6711	8	18	information	information	NOUN
ejpam-6711	8	19	to	to	PART
ejpam-6711	8	20	inform	inform	VERB
ejpam-6711	8	21	public	public	ADJ
ejpam-6711	8	22	health	health	NOUN
ejpam-6711	8	23	policies	policy	NOUN
ejpam-6711	8	24	targeted	target	VERB
ejpam-6711	8	25	at	at	ADP
ejpam-6711	8	26	lowering	lower	VERB
ejpam-6711	8	27	drug	drug	NOUN
ejpam-6711	8	28	addiction	addiction	NOUN
ejpam-6711	8	29	and	and	CCONJ
ejpam-6711	8	30	promoting	promote	VERB
ejpam-6711	8	31	long	long	ADJ
ejpam-6711	8	32	-	-	PUNCT
ejpam-6711	8	33	term	term	NOUN
ejpam-6711	8	34	recovery	recovery	NOUN
ejpam-6711	8	35	.	.	PUNCT
ejpam-6711	9	1	2020	2020	NUM
ejpam-6711	9	2	mathematics	mathematic	NOUN
ejpam-6711	9	3	subject	subject	NOUN
ejpam-6711	9	4	classifications	classification	NOUN
ejpam-6711	9	5	:	:	PUNCT
ejpam-6711	9	6	26a33	26a33	NUM
ejpam-6711	9	7	,	,	PUNCT
ejpam-6711	9	8	34a08	34a08	NUM
ejpam-6711	9	9	,	,	PUNCT
ejpam-6711	9	10	03c65	03c65	X
ejpam-6711	9	11	key	key	ADJ
ejpam-6711	9	12	words	word	NOUN
ejpam-6711	9	13	and	and	CCONJ
ejpam-6711	9	14	phrases	phrase	NOUN
ejpam-6711	9	15	:	:	PUNCT
ejpam-6711	9	16	drug	drug	NOUN
ejpam-6711	9	17	addiction	addiction	NOUN
ejpam-6711	9	18	,	,	PUNCT
ejpam-6711	9	19	mathematical	mathematical	ADJ
ejpam-6711	9	20	modeling	modeling	NOUN
ejpam-6711	9	21	,	,	PUNCT
ejpam-6711	9	22	high	high	ADJ
ejpam-6711	9	23	-	-	PUNCT
ejpam-6711	9	24	risk	risk	NOUN
ejpam-6711	9	25	and	and	CCONJ
ejpam-6711	9	26	low	low	ADJ
ejpam-6711	9	27	-	-	PUNCT
ejpam-6711	9	28	risk	risk	NOUN
ejpam-6711	9	29	populations	population	NOUN
ejpam-6711	9	30	,	,	PUNCT
ejpam-6711	9	31	treatment	treatment	NOUN
ejpam-6711	9	32	interventions	intervention	NOUN
ejpam-6711	9	33	,	,	PUNCT
ejpam-6711	9	34	basic	basic	ADJ
ejpam-6711	9	35	reproduction	reproduction	NOUN
ejpam-6711	9	36	number	number	NOUN
ejpam-6711	9	37	(	(	PUNCT
ejpam-6711	9	38	r0	r0	NOUN
ejpam-6711	9	39	)	)	PUNCT
ejpam-6711	9	40	,	,	PUNCT
ejpam-6711	9	41	sensitivity	sensitivity	NOUN
ejpam-6711	9	42	analysis	analysis	NOUN
ejpam-6711	9	43	∗corresponding	∗corresponde	VERB
ejpam-6711	9	44	author	author	NOUN
ejpam-6711	9	45	.	.	PUNCT
ejpam-6711	10	1	doi	doi	NOUN
ejpam-6711	10	2	:	:	PUNCT
ejpam-6711	10	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6711	https://doi.org/10.29020/nybg.ejpam.v18i4.6711	VERB
ejpam-6711	10	4	email	email	NOUN
ejpam-6711	10	5	addresses	address	NOUN
ejpam-6711	10	6	:	:	PUNCT
ejpam-6711	10	7	lubabayaseen123@gmail.com	lubabayaseen123@gmail.com	X
ejpam-6711	10	8	(	(	PUNCT
ejpam-6711	10	9	l.	l.	PROPN
ejpam-6711	10	10	yaseen	yaseen	PROPN
ejpam-6711	10	11	)	)	PUNCT
ejpam-6711	10	12	,	,	PUNCT
ejpam-6711	10	13	19907@riphahfsd.edu.pk	19907@riphahfsd.edu.pk	NUM
ejpam-6711	10	14	(	(	PUNCT
ejpam-6711	10	15	s.a	s.a	PROPN
ejpam-6711	10	16	.	.	PROPN
ejpam-6711	10	17	zanib	zanib	PROPN
ejpam-6711	10	18	)	)	PUNCT
ejpam-6711	10	19	,	,	PUNCT
ejpam-6711	10	20	nabbas@psu.edu.sa	nabbas@psu.edu.sa	PROPN
ejpam-6711	10	21	(	(	PUNCT
ejpam-6711	10	22	n.	n.	NOUN
ejpam-6711	10	23	abbas	abbas	PROPN
ejpam-6711	10	24	)	)	PUNCT
ejpam-6711	10	25	,	,	PUNCT
ejpam-6711	10	26	wshatanawi@psu.edu.sa	wshatanawi@psu.edu.sa	PROPN
ejpam-6711	10	27	(	(	PUNCT
ejpam-6711	10	28	w.	w.	PROPN
ejpam-6711	10	29	shatanawi	shatanawi	PROPN
ejpam-6711	10	30	)	)	PUNCT
ejpam-6711	10	31	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6711	11	1	1	1	NUM
ejpam-6711	11	2	copyright	copyright	NOUN
ejpam-6711	11	3	:	:	PUNCT
ejpam-6711	11	4	©	©	PROPN
ejpam-6711	11	5	2025	2025	NUM
ejpam-6711	11	6	the	the	DET
ejpam-6711	11	7	author(s	author(s	NOUN
ejpam-6711	11	8	)	)	PUNCT
ejpam-6711	11	9	.	.	PUNCT
ejpam-6711	12	1	(	(	PUNCT
ejpam-6711	12	2	cc	cc	NOUN
ejpam-6711	12	3	by	by	ADP
ejpam-6711	12	4	-	-	PUNCT
ejpam-6711	12	5	nc	nc	PROPN
ejpam-6711	12	6	4.0	4.0	NUM
ejpam-6711	12	7	)	)	PUNCT
ejpam-6711	12	8	l.	l.	PROPN
ejpam-6711	12	9	yaseen	yaseen	PROPN
ejpam-6711	12	10	et	et	PROPN
ejpam-6711	12	11	al	al	PROPN
ejpam-6711	12	12	.	.	PUNCT
ejpam-6711	12	13	/	/	SYM
ejpam-6711	12	14	eur	eur	PROPN
ejpam-6711	12	15	.	.	PUNCT
ejpam-6711	13	1	j.	j.	PROPN
ejpam-6711	13	2	pure	pure	PROPN
ejpam-6711	13	3	appl	appl	PROPN
ejpam-6711	13	4	.	.	PROPN
ejpam-6711	13	5	math	math	PROPN
ejpam-6711	13	6	,	,	PUNCT
ejpam-6711	13	7	18	18	NUM
ejpam-6711	13	8	(	(	PUNCT
ejpam-6711	13	9	4	4	NUM
ejpam-6711	13	10	)	)	PUNCT
ejpam-6711	13	11	(	(	PUNCT
ejpam-6711	13	12	2025	2025	NUM
ejpam-6711	13	13	)	)	PUNCT
ejpam-6711	13	14	,	,	PUNCT
ejpam-6711	13	15	6711	6711	NUM
ejpam-6711	13	16	2	2	NUM
ejpam-6711	13	17	of	of	ADP
ejpam-6711	13	18	29	29	NUM
ejpam-6711	13	19	1	1	NUM
ejpam-6711	13	20	.	.	PUNCT
ejpam-6711	14	1	introduction	introduction	NOUN
ejpam-6711	14	2	drug	drug	NOUN
ejpam-6711	14	3	addiction	addiction	NOUN
ejpam-6711	14	4	is	be	AUX
ejpam-6711	14	5	a	a	DET
ejpam-6711	14	6	chronic	chronic	ADJ
ejpam-6711	14	7	disorder	disorder	NOUN
ejpam-6711	14	8	in	in	ADP
ejpam-6711	14	9	which	which	PRON
ejpam-6711	14	10	individuals	individual	NOUN
ejpam-6711	14	11	compulsively	compulsively	ADV
ejpam-6711	14	12	use	use	VERB
ejpam-6711	14	13	substances	substance	NOUN
ejpam-6711	14	14	despite	despite	SCONJ
ejpam-6711	14	15	harmful	harmful	ADJ
ejpam-6711	14	16	consequences	consequence	NOUN
ejpam-6711	14	17	.	.	PUNCT
ejpam-6711	15	1	it	it	PRON
ejpam-6711	15	2	alters	alter	VERB
ejpam-6711	15	3	brain	brain	NOUN
ejpam-6711	15	4	function	function	NOUN
ejpam-6711	15	5	and	and	CCONJ
ejpam-6711	15	6	behavior	behavior	NOUN
ejpam-6711	15	7	,	,	PUNCT
ejpam-6711	15	8	creating	create	VERB
ejpam-6711	15	9	both	both	CCONJ
ejpam-6711	15	10	physical	physical	ADJ
ejpam-6711	15	11	and	and	CCONJ
ejpam-6711	15	12	psychological	psychological	ADJ
ejpam-6711	15	13	dependence	dependence	NOUN
ejpam-6711	15	14	.	.	PUNCT
ejpam-6711	16	1	the	the	DET
ejpam-6711	16	2	causes	cause	NOUN
ejpam-6711	16	3	of	of	ADP
ejpam-6711	16	4	addiction	addiction	NOUN
ejpam-6711	16	5	are	be	AUX
ejpam-6711	16	6	multifactorial	multifactorial	ADJ
ejpam-6711	16	7	,	,	PUNCT
ejpam-6711	16	8	encompassing	encompass	VERB
ejpam-6711	16	9	genetic	genetic	ADJ
ejpam-6711	16	10	,	,	PUNCT
ejpam-6711	16	11	environmental	environmental	ADJ
ejpam-6711	16	12	,	,	PUNCT
ejpam-6711	16	13	and	and	CCONJ
ejpam-6711	16	14	psychological	psychological	ADJ
ejpam-6711	16	15	influences	influence	NOUN
ejpam-6711	16	16	.	.	PUNCT
ejpam-6711	17	1	some	some	DET
ejpam-6711	17	2	individuals	individual	NOUN
ejpam-6711	17	3	may	may	AUX
ejpam-6711	17	4	turn	turn	VERB
ejpam-6711	17	5	to	to	ADP
ejpam-6711	17	6	drugs	drug	NOUN
ejpam-6711	17	7	as	as	ADP
ejpam-6711	17	8	a	a	DET
ejpam-6711	17	9	coping	cope	VERB
ejpam-6711	17	10	mechanism	mechanism	NOUN
ejpam-6711	17	11	for	for	ADP
ejpam-6711	17	12	stress	stress	NOUN
ejpam-6711	17	13	,	,	PUNCT
ejpam-6711	17	14	trauma	trauma	NOUN
ejpam-6711	17	15	,	,	PUNCT
ejpam-6711	17	16	or	or	CCONJ
ejpam-6711	17	17	mental	mental	ADJ
ejpam-6711	17	18	health	health	NOUN
ejpam-6711	17	19	challenges	challenge	NOUN
ejpam-6711	17	20	,	,	PUNCT
ejpam-6711	17	21	while	while	SCONJ
ejpam-6711	17	22	others	other	NOUN
ejpam-6711	17	23	are	be	AUX
ejpam-6711	17	24	influenced	influence	VERB
ejpam-6711	17	25	by	by	ADP
ejpam-6711	17	26	peer	peer	NOUN
ejpam-6711	17	27	pressure	pressure	NOUN
ejpam-6711	17	28	or	or	CCONJ
ejpam-6711	17	29	unfavorable	unfavorable	ADJ
ejpam-6711	17	30	social	social	ADJ
ejpam-6711	17	31	circumstances	circumstance	NOUN
ejpam-6711	17	32	[	[	X
ejpam-6711	17	33	1	1	NUM
ejpam-6711	17	34	,	,	PUNCT
ejpam-6711	17	35	2	2	NUM
ejpam-6711	17	36	]	]	PUNCT
ejpam-6711	17	37	.	.	PUNCT
ejpam-6711	18	1	beyond	beyond	ADP
ejpam-6711	18	2	its	its	PRON
ejpam-6711	18	3	individual	individual	ADJ
ejpam-6711	18	4	impact	impact	NOUN
ejpam-6711	18	5	,	,	PUNCT
ejpam-6711	18	6	drug	drug	NOUN
ejpam-6711	18	7	addiction	addiction	NOUN
ejpam-6711	18	8	imposes	impose	VERB
ejpam-6711	18	9	heavy	heavy	ADJ
ejpam-6711	18	10	social	social	ADJ
ejpam-6711	18	11	and	and	CCONJ
ejpam-6711	18	12	economic	economic	ADJ
ejpam-6711	18	13	costs	cost	NOUN
ejpam-6711	18	14	,	,	PUNCT
ejpam-6711	18	15	including	include	VERB
ejpam-6711	18	16	increased	increase	VERB
ejpam-6711	18	17	crime	crime	NOUN
ejpam-6711	18	18	rates	rate	NOUN
ejpam-6711	18	19	,	,	PUNCT
ejpam-6711	18	20	strain	strain	VERB
ejpam-6711	18	21	on	on	ADP
ejpam-6711	18	22	healthcare	healthcare	NOUN
ejpam-6711	18	23	systems	system	NOUN
ejpam-6711	18	24	,	,	PUNCT
ejpam-6711	18	25	family	family	NOUN
ejpam-6711	18	26	disruption	disruption	NOUN
ejpam-6711	18	27	,	,	PUNCT
ejpam-6711	18	28	and	and	CCONJ
ejpam-6711	18	29	reduced	reduce	VERB
ejpam-6711	18	30	workforce	workforce	NOUN
ejpam-6711	18	31	productivity	productivity	NOUN
ejpam-6711	18	32	[	[	X
ejpam-6711	18	33	3	3	NUM
ejpam-6711	18	34	]	]	PUNCT
ejpam-6711	18	35	.	.	PUNCT
ejpam-6711	19	1	collectively	collectively	ADV
ejpam-6711	19	2	,	,	PUNCT
ejpam-6711	19	3	these	these	DET
ejpam-6711	19	4	outcomes	outcome	NOUN
ejpam-6711	19	5	diminish	diminish	VERB
ejpam-6711	19	6	community	community	NOUN
ejpam-6711	19	7	well	well	ADV
ejpam-6711	19	8	-	-	PUNCT
ejpam-6711	19	9	being	being	NOUN
ejpam-6711	19	10	and	and	CCONJ
ejpam-6711	19	11	public	public	ADJ
ejpam-6711	19	12	safety	safety	NOUN
ejpam-6711	19	13	.	.	PUNCT
ejpam-6711	20	1	mathematical	mathematical	ADJ
ejpam-6711	20	2	models	model	NOUN
ejpam-6711	20	3	are	be	AUX
ejpam-6711	20	4	powerful	powerful	ADJ
ejpam-6711	20	5	tools	tool	NOUN
ejpam-6711	20	6	for	for	ADP
ejpam-6711	20	7	understanding	understand	VERB
ejpam-6711	20	8	such	such	ADJ
ejpam-6711	20	9	complex	complex	ADJ
ejpam-6711	20	10	biological	biological	ADJ
ejpam-6711	20	11	and	and	CCONJ
ejpam-6711	20	12	social	social	ADJ
ejpam-6711	20	13	processes	process	NOUN
ejpam-6711	20	14	.	.	PUNCT
ejpam-6711	21	1	they	they	PRON
ejpam-6711	21	2	provide	provide	VERB
ejpam-6711	21	3	structured	structured	ADJ
ejpam-6711	21	4	frameworks	framework	NOUN
ejpam-6711	21	5	to	to	PART
ejpam-6711	21	6	represent	represent	VERB
ejpam-6711	21	7	interactions	interaction	NOUN
ejpam-6711	21	8	,	,	PUNCT
ejpam-6711	21	9	predict	predict	VERB
ejpam-6711	21	10	outcomes	outcome	NOUN
ejpam-6711	21	11	,	,	PUNCT
ejpam-6711	21	12	and	and	CCONJ
ejpam-6711	21	13	reveal	reveal	VERB
ejpam-6711	21	14	patterns	pattern	NOUN
ejpam-6711	21	15	within	within	ADP
ejpam-6711	21	16	data	datum	NOUN
ejpam-6711	21	17	[	[	X
ejpam-6711	21	18	4–6	4–6	X
ejpam-6711	21	19	]	]	X
ejpam-6711	21	20	.	.	PUNCT
ejpam-6711	22	1	by	by	ADP
ejpam-6711	22	2	quantifying	quantify	VERB
ejpam-6711	22	3	key	key	ADJ
ejpam-6711	22	4	variables	variable	NOUN
ejpam-6711	22	5	,	,	PUNCT
ejpam-6711	22	6	models	model	NOUN
ejpam-6711	22	7	highlight	highlight	VERB
ejpam-6711	22	8	how	how	SCONJ
ejpam-6711	22	9	changes	change	NOUN
ejpam-6711	22	10	in	in	ADP
ejpam-6711	22	11	one	one	NUM
ejpam-6711	22	12	factor	factor	NOUN
ejpam-6711	22	13	influence	influence	NOUN
ejpam-6711	22	14	system	system	NOUN
ejpam-6711	22	15	-	-	PUNCT
ejpam-6711	22	16	wide	wide	ADJ
ejpam-6711	22	17	behavior	behavior	NOUN
ejpam-6711	22	18	.	.	PUNCT
ejpam-6711	23	1	applications	application	NOUN
ejpam-6711	23	2	of	of	ADP
ejpam-6711	23	3	mathematical	mathematical	ADJ
ejpam-6711	23	4	modeling	modeling	NOUN
ejpam-6711	23	5	span	span	NOUN
ejpam-6711	23	6	diverse	diverse	ADJ
ejpam-6711	23	7	fields	field	NOUN
ejpam-6711	23	8	,	,	PUNCT
ejpam-6711	23	9	including	include	VERB
ejpam-6711	23	10	infectious	infectious	ADJ
ejpam-6711	23	11	disease	disease	NOUN
ejpam-6711	23	12	dynamics	dynamic	NOUN
ejpam-6711	23	13	,	,	PUNCT
ejpam-6711	23	14	fluid	fluid	ADJ
ejpam-6711	23	15	mechanics	mechanic	NOUN
ejpam-6711	23	16	,	,	PUNCT
ejpam-6711	23	17	and	and	CCONJ
ejpam-6711	23	18	neuroscience	neuroscience	NOUN
ejpam-6711	23	19	.	.	PUNCT
ejpam-6711	24	1	importantly	importantly	ADV
ejpam-6711	24	2	,	,	PUNCT
ejpam-6711	24	3	these	these	DET
ejpam-6711	24	4	models	model	NOUN
ejpam-6711	24	5	allow	allow	VERB
ejpam-6711	24	6	researchers	researcher	NOUN
ejpam-6711	24	7	to	to	PART
ejpam-6711	24	8	simulate	simulate	VERB
ejpam-6711	24	9	scenarios	scenario	NOUN
ejpam-6711	24	10	that	that	PRON
ejpam-6711	24	11	may	may	AUX
ejpam-6711	24	12	be	be	AUX
ejpam-6711	24	13	impractical	impractical	ADJ
ejpam-6711	24	14	,	,	PUNCT
ejpam-6711	24	15	costly	costly	ADJ
ejpam-6711	24	16	,	,	PUNCT
ejpam-6711	24	17	or	or	CCONJ
ejpam-6711	24	18	unethical	unethical	ADJ
ejpam-6711	24	19	to	to	PART
ejpam-6711	24	20	test	test	VERB
ejpam-6711	24	21	experimentally	experimentally	ADV
ejpam-6711	24	22	[	[	X
ejpam-6711	24	23	7	7	NUM
ejpam-6711	24	24	]	]	PUNCT
ejpam-6711	24	25	.	.	PUNCT
ejpam-6711	25	1	this	this	DET
ejpam-6711	25	2	predictive	predictive	ADJ
ejpam-6711	25	3	capacity	capacity	NOUN
ejpam-6711	25	4	enhances	enhance	VERB
ejpam-6711	25	5	scientific	scientific	ADJ
ejpam-6711	25	6	understanding	understanding	NOUN
ejpam-6711	25	7	and	and	CCONJ
ejpam-6711	25	8	guides	guide	VERB
ejpam-6711	25	9	evidence	evidence	NOUN
ejpam-6711	25	10	-	-	PUNCT
ejpam-6711	25	11	based	base	VERB
ejpam-6711	25	12	decision	decision	NOUN
ejpam-6711	25	13	-	-	PUNCT
ejpam-6711	25	14	making	making	NOUN
ejpam-6711	25	15	in	in	ADP
ejpam-6711	25	16	medicine	medicine	NOUN
ejpam-6711	25	17	,	,	PUNCT
ejpam-6711	25	18	neuroscience	neuroscience	NOUN
ejpam-6711	25	19	,	,	PUNCT
ejpam-6711	25	20	and	and	CCONJ
ejpam-6711	25	21	public	public	ADJ
ejpam-6711	25	22	health	health	NOUN
ejpam-6711	25	23	.	.	PUNCT
ejpam-6711	26	1	in	in	ADP
ejpam-6711	26	2	recent	recent	ADJ
ejpam-6711	26	3	years	year	NOUN
ejpam-6711	26	4	,	,	PUNCT
ejpam-6711	26	5	fractional	fractional	ADJ
ejpam-6711	26	6	mathematical	mathematical	ADJ
ejpam-6711	26	7	models	model	NOUN
ejpam-6711	26	8	have	have	AUX
ejpam-6711	26	9	gained	gain	VERB
ejpam-6711	26	10	importance	importance	NOUN
ejpam-6711	26	11	because	because	SCONJ
ejpam-6711	26	12	they	they	PRON
ejpam-6711	26	13	can	can	AUX
ejpam-6711	26	14	more	more	ADV
ejpam-6711	26	15	accurately	accurately	ADV
ejpam-6711	26	16	capture	capture	VERB
ejpam-6711	26	17	real	real	ADJ
ejpam-6711	26	18	-	-	PUNCT
ejpam-6711	26	19	world	world	NOUN
ejpam-6711	26	20	dynamics	dynamic	NOUN
ejpam-6711	26	21	,	,	PUNCT
ejpam-6711	26	22	particularly	particularly	ADV
ejpam-6711	26	23	memory	memory	NOUN
ejpam-6711	26	24	and	and	CCONJ
ejpam-6711	26	25	hereditary	hereditary	ADJ
ejpam-6711	26	26	effects	effect	NOUN
ejpam-6711	26	27	that	that	SCONJ
ejpam-6711	26	28	classical	classical	ADJ
ejpam-6711	26	29	integer	integer	NOUN
ejpam-6711	26	30	-	-	PUNCT
ejpam-6711	26	31	order	order	NOUN
ejpam-6711	26	32	models	model	NOUN
ejpam-6711	26	33	often	often	ADV
ejpam-6711	26	34	overlook	overlook	VERB
ejpam-6711	27	1	[	[	X
ejpam-6711	27	2	8–11	8–11	X
ejpam-6711	27	3	]	]	PUNCT
ejpam-6711	27	4	.	.	PUNCT
ejpam-6711	28	1	fractional	fractional	ADJ
ejpam-6711	28	2	calculus	calculus	NOUN
ejpam-6711	28	3	offers	offer	VERB
ejpam-6711	28	4	greater	great	ADJ
ejpam-6711	28	5	flexibility	flexibility	NOUN
ejpam-6711	28	6	for	for	ADP
ejpam-6711	28	7	analyzing	analyze	VERB
ejpam-6711	28	8	irregular	irregular	ADJ
ejpam-6711	28	9	behaviors	behavior	NOUN
ejpam-6711	28	10	such	such	ADJ
ejpam-6711	28	11	as	as	ADP
ejpam-6711	28	12	anomalous	anomalous	ADJ
ejpam-6711	28	13	diffusion	diffusion	NOUN
ejpam-6711	29	1	[	[	X
ejpam-6711	29	2	12	12	NUM
ejpam-6711	29	3	]	]	PUNCT
ejpam-6711	29	4	,	,	PUNCT
ejpam-6711	29	5	enabling	enable	VERB
ejpam-6711	29	6	the	the	DET
ejpam-6711	29	7	development	development	NOUN
ejpam-6711	29	8	of	of	ADP
ejpam-6711	29	9	more	more	ADV
ejpam-6711	29	10	realistic	realistic	ADJ
ejpam-6711	29	11	and	and	CCONJ
ejpam-6711	29	12	effective	effective	ADJ
ejpam-6711	29	13	solutions	solution	NOUN
ejpam-6711	29	14	.	.	PUNCT
ejpam-6711	30	1	the	the	DET
ejpam-6711	30	2	literature	literature	NOUN
ejpam-6711	30	3	on	on	ADP
ejpam-6711	30	4	drug	drug	NOUN
ejpam-6711	30	5	addiction	addiction	NOUN
ejpam-6711	30	6	reflects	reflect	VERB
ejpam-6711	30	7	its	its	PRON
ejpam-6711	30	8	complexity	complexity	NOUN
ejpam-6711	30	9	.	.	PUNCT
ejpam-6711	31	1	research	research	NOUN
ejpam-6711	31	2	consistently	consistently	ADV
ejpam-6711	31	3	highlights	highlight	VERB
ejpam-6711	31	4	the	the	DET
ejpam-6711	31	5	interplay	interplay	NOUN
ejpam-6711	31	6	of	of	ADP
ejpam-6711	31	7	biological	biological	ADJ
ejpam-6711	31	8	,	,	PUNCT
ejpam-6711	31	9	psychological	psychological	ADJ
ejpam-6711	31	10	,	,	PUNCT
ejpam-6711	31	11	and	and	CCONJ
ejpam-6711	31	12	social	social	ADJ
ejpam-6711	31	13	factors	factor	NOUN
ejpam-6711	31	14	in	in	ADP
ejpam-6711	31	15	shaping	shape	VERB
ejpam-6711	31	16	addiction	addiction	NOUN
ejpam-6711	31	17	outcomes	outcome	NOUN
ejpam-6711	31	18	.	.	PUNCT
ejpam-6711	32	1	studies	study	NOUN
ejpam-6711	32	2	emphasize	emphasize	VERB
ejpam-6711	32	3	the	the	DET
ejpam-6711	32	4	role	role	NOUN
ejpam-6711	32	5	of	of	ADP
ejpam-6711	32	6	genetic	genetic	ADJ
ejpam-6711	32	7	predisposition	predisposition	NOUN
ejpam-6711	32	8	,	,	PUNCT
ejpam-6711	32	9	neurochemical	neurochemical	ADJ
ejpam-6711	32	10	alterations	alteration	NOUN
ejpam-6711	32	11	,	,	PUNCT
ejpam-6711	32	12	and	and	CCONJ
ejpam-6711	32	13	environmental	environmental	ADJ
ejpam-6711	32	14	stressors	stressor	NOUN
ejpam-6711	32	15	,	,	PUNCT
ejpam-6711	32	16	as	as	ADV
ejpam-6711	32	17	well	well	ADV
ejpam-6711	32	18	as	as	ADP
ejpam-6711	32	19	the	the	DET
ejpam-6711	32	20	challenges	challenge	NOUN
ejpam-6711	32	21	of	of	ADP
ejpam-6711	32	22	relapse	relapse	NOUN
ejpam-6711	32	23	and	and	CCONJ
ejpam-6711	32	24	chronicity	chronicity	NOUN
ejpam-6711	32	25	.	.	PUNCT
ejpam-6711	33	1	for	for	ADP
ejpam-6711	33	2	example	example	NOUN
ejpam-6711	33	3	,	,	PUNCT
ejpam-6711	33	4	de	de	X
ejpam-6711	33	5	angelis	angelis	X
ejpam-6711	33	6	et	et	PROPN
ejpam-6711	33	7	al	al	PROPN
ejpam-6711	33	8	.	.	PROPN
ejpam-6711	34	1	(	(	PUNCT
ejpam-6711	34	2	2020	2020	NUM
ejpam-6711	34	3	)	)	PUNCT
ejpam-6711	35	1	[	[	X
ejpam-6711	35	2	13	13	NUM
ejpam-6711	35	3	]	]	PUNCT
ejpam-6711	35	4	demonstrated	demonstrate	VERB
ejpam-6711	35	5	the	the	DET
ejpam-6711	35	6	detrimental	detrimental	ADJ
ejpam-6711	35	7	effects	effect	NOUN
ejpam-6711	35	8	of	of	ADP
ejpam-6711	35	9	smoking	smoking	NOUN
ejpam-6711	35	10	,	,	PUNCT
ejpam-6711	35	11	alcohol	alcohol	NOUN
ejpam-6711	35	12	,	,	PUNCT
ejpam-6711	35	13	and	and	CCONJ
ejpam-6711	35	14	drug	drug	NOUN
ejpam-6711	35	15	addiction	addiction	NOUN
ejpam-6711	35	16	on	on	ADP
ejpam-6711	35	17	female	female	ADJ
ejpam-6711	35	18	fertility	fertility	NOUN
ejpam-6711	35	19	,	,	PUNCT
ejpam-6711	35	20	while	while	SCONJ
ejpam-6711	35	21	vandaele	vandaele	PROPN
ejpam-6711	35	22	and	and	CCONJ
ejpam-6711	35	23	ahmed	ahmed	PROPN
ejpam-6711	35	24	(	(	PUNCT
ejpam-6711	35	25	2021	2021	NUM
ejpam-6711	35	26	)	)	PUNCT
ejpam-6711	36	1	[	[	X
ejpam-6711	36	2	14	14	NUM
ejpam-6711	36	3	]	]	PUNCT
ejpam-6711	36	4	explored	explore	VERB
ejpam-6711	36	5	the	the	DET
ejpam-6711	36	6	transition	transition	NOUN
ejpam-6711	36	7	from	from	ADP
ejpam-6711	36	8	voluntary	voluntary	ADJ
ejpam-6711	36	9	behavior	behavior	NOUN
ejpam-6711	36	10	to	to	ADP
ejpam-6711	36	11	compulsive	compulsive	ADJ
ejpam-6711	36	12	use	use	NOUN
ejpam-6711	36	13	,	,	PUNCT
ejpam-6711	36	14	focusing	focus	VERB
ejpam-6711	36	15	on	on	ADP
ejpam-6711	36	16	underlying	underlie	VERB
ejpam-6711	36	17	brain	brain	NOUN
ejpam-6711	36	18	circuits	circuit	NOUN
ejpam-6711	36	19	.	.	PUNCT
ejpam-6711	37	1	ceceli	ceceli	PROPN
ejpam-6711	37	2	,	,	PUNCT
ejpam-6711	37	3	bradberry	bradberry	VERB
ejpam-6711	37	4	,	,	PUNCT
ejpam-6711	37	5	and	and	CCONJ
ejpam-6711	37	6	goldstein	goldstein	PROPN
ejpam-6711	37	7	(	(	PUNCT
ejpam-6711	37	8	2022	2022	NUM
ejpam-6711	37	9	)	)	PUNCT
ejpam-6711	38	1	[	[	X
ejpam-6711	38	2	15	15	NUM
ejpam-6711	38	3	]	]	PUNCT
ejpam-6711	38	4	investigated	investigate	VERB
ejpam-6711	38	5	prefrontal	prefrontal	ADJ
ejpam-6711	38	6	cortex	cortex	NOUN
ejpam-6711	38	7	dysfunction	dysfunction	NOUN
ejpam-6711	38	8	,	,	PUNCT
ejpam-6711	38	9	showing	show	VERB
ejpam-6711	38	10	how	how	SCONJ
ejpam-6711	38	11	addiction	addiction	NOUN
ejpam-6711	38	12	impairs	impair	VERB
ejpam-6711	38	13	decision	decision	NOUN
ejpam-6711	38	14	-	-	PUNCT
ejpam-6711	38	15	making	making	NOUN
ejpam-6711	38	16	and	and	CCONJ
ejpam-6711	38	17	impulse	impulse	ADJ
ejpam-6711	38	18	control	control	NOUN
ejpam-6711	38	19	.	.	PUNCT
ejpam-6711	39	1	from	from	ADP
ejpam-6711	39	2	a	a	DET
ejpam-6711	39	3	modeling	modeling	NOUN
ejpam-6711	39	4	perspective	perspective	NOUN
ejpam-6711	39	5	,	,	PUNCT
ejpam-6711	39	6	zanib	zanib	VERB
ejpam-6711	39	7	et	et	PROPN
ejpam-6711	39	8	al	al	PROPN
ejpam-6711	39	9	.	.	PROPN
ejpam-6711	40	1	(	(	PUNCT
ejpam-6711	40	2	2024	2024	NUM
ejpam-6711	40	3	)	)	PUNCT
ejpam-6711	41	1	[	[	X
ejpam-6711	41	2	16	16	NUM
ejpam-6711	41	3	]	]	PUNCT
ejpam-6711	41	4	proposed	propose	VERB
ejpam-6711	41	5	a	a	DET
ejpam-6711	41	6	compartmental	compartmental	ADJ
ejpam-6711	41	7	framework	framework	NOUN
ejpam-6711	41	8	(	(	PUNCT
ejpam-6711	41	9	sd	sd	NOUN
ejpam-6711	41	10	,	,	PUNCT
ejpam-6711	41	11	ed	ed	NOUN
ejpam-6711	41	12	,	,	PUNCT
ejpam-6711	41	13	hd	hd	PROPN
ejpam-6711	41	14	,	,	PUNCT
ejpam-6711	41	15	ld	ld	PROPN
ejpam-6711	41	16	,	,	PUNCT
ejpam-6711	41	17	rd	rd	PROPN
ejpam-6711	41	18	,	,	PUNCT
ejpam-6711	41	19	cd	cd	PROPN
ejpam-6711	41	20	)	)	PUNCT
ejpam-6711	41	21	that	that	PRON
ejpam-6711	41	22	distinguishes	distinguish	VERB
ejpam-6711	41	23	between	between	ADP
ejpam-6711	41	24	heavy	heavy	ADJ
ejpam-6711	41	25	and	and	CCONJ
ejpam-6711	41	26	light	light	ADJ
ejpam-6711	41	27	addiction	addiction	NOUN
ejpam-6711	41	28	alongside	alongside	ADP
ejpam-6711	41	29	rehabilitation	rehabilitation	NOUN
ejpam-6711	41	30	.	.	PUNCT
ejpam-6711	42	1	their	their	PRON
ejpam-6711	42	2	simulations	simulation	NOUN
ejpam-6711	42	3	using	use	VERB
ejpam-6711	42	4	the	the	DET
ejpam-6711	42	5	rk4	rk4	NOUN
ejpam-6711	42	6	method	method	NOUN
ejpam-6711	42	7	in	in	ADP
ejpam-6711	42	8	maple	maple	PROPN
ejpam-6711	42	9	highlighted	highlight	VERB
ejpam-6711	42	10	the	the	DET
ejpam-6711	42	11	importance	importance	NOUN
ejpam-6711	42	12	of	of	ADP
ejpam-6711	42	13	early	early	ADJ
ejpam-6711	42	14	detection	detection	NOUN
ejpam-6711	42	15	and	and	CCONJ
ejpam-6711	42	16	treatment	treatment	NOUN
ejpam-6711	42	17	in	in	ADP
ejpam-6711	42	18	controlling	control	VERB
ejpam-6711	42	19	addiction	addiction	NOUN
ejpam-6711	42	20	.	.	PUNCT
ejpam-6711	43	1	bunaciu	bunaciu	NOUN
ejpam-6711	43	2	et	et	PROPN
ejpam-6711	43	3	al	al	PROPN
ejpam-6711	43	4	.	.	PROPN
ejpam-6711	44	1	(	(	PUNCT
ejpam-6711	44	2	2024	2024	NUM
ejpam-6711	44	3	)	)	PUNCT
ejpam-6711	45	1	[	[	X
ejpam-6711	45	2	17	17	NUM
ejpam-6711	45	3	]	]	PUNCT
ejpam-6711	45	4	systematically	systematically	ADV
ejpam-6711	45	5	reviewed	review	VERB
ejpam-6711	45	6	recovery	recovery	NOUN
ejpam-6711	45	7	capital	capital	NOUN
ejpam-6711	45	8	,	,	PUNCT
ejpam-6711	45	9	providing	provide	VERB
ejpam-6711	45	10	tools	tool	NOUN
ejpam-6711	45	11	to	to	PART
ejpam-6711	45	12	evaluate	evaluate	VERB
ejpam-6711	45	13	the	the	DET
ejpam-6711	45	14	strengths	strength	NOUN
ejpam-6711	45	15	that	that	PRON
ejpam-6711	45	16	support	support	VERB
ejpam-6711	45	17	long	long	ADJ
ejpam-6711	45	18	-	-	PUNCT
ejpam-6711	45	19	term	term	NOUN
ejpam-6711	45	20	recovery	recovery	NOUN
ejpam-6711	45	21	.	.	PUNCT
ejpam-6711	46	1	other	other	ADJ
ejpam-6711	46	2	studies	study	NOUN
ejpam-6711	46	3	,	,	PUNCT
ejpam-6711	46	4	such	such	ADJ
ejpam-6711	46	5	as	as	ADP
ejpam-6711	46	6	mamo	mamo	PROPN
ejpam-6711	46	7	et	et	PROPN
ejpam-6711	46	8	al	al	PROPN
ejpam-6711	46	9	.	.	PROPN
ejpam-6711	46	10	(	(	PUNCT
ejpam-6711	46	11	2024	2024	NUM
ejpam-6711	46	12	)	)	PUNCT
ejpam-6711	47	1	[	[	X
ejpam-6711	47	2	18	18	NUM
ejpam-6711	47	3	]	]	PUNCT
ejpam-6711	47	4	,	,	PUNCT
ejpam-6711	47	5	examined	examine	VERB
ejpam-6711	47	6	the	the	DET
ejpam-6711	47	7	dynamic	dynamic	ADJ
ejpam-6711	47	8	relationship	relationship	NOUN
ejpam-6711	47	9	between	between	ADP
ejpam-6711	47	10	crime	crime	NOUN
ejpam-6711	47	11	and	and	CCONJ
ejpam-6711	47	12	drug	drug	NOUN
ejpam-6711	47	13	abuse	abuse	NOUN
ejpam-6711	47	14	,	,	PUNCT
ejpam-6711	47	15	while	while	SCONJ
ejpam-6711	47	16	muli	muli	NOUN
ejpam-6711	47	17	(	(	PUNCT
ejpam-6711	47	18	2025	2025	NUM
ejpam-6711	47	19	)	)	PUNCT
ejpam-6711	48	1	[	[	X
ejpam-6711	48	2	19	19	NUM
ejpam-6711	48	3	]	]	PUNCT
ejpam-6711	48	4	extended	extend	VERB
ejpam-6711	48	5	this	this	DET
ejpam-6711	48	6	framework	framework	NOUN
ejpam-6711	48	7	to	to	PART
ejpam-6711	48	8	include	include	VERB
ejpam-6711	48	9	policing	policing	NOUN
ejpam-6711	48	10	and	and	CCONJ
ejpam-6711	48	11	rehabilitation	rehabilitation	NOUN
ejpam-6711	48	12	,	,	PUNCT
ejpam-6711	48	13	drawing	draw	VERB
ejpam-6711	48	14	parallels	parallel	NOUN
ejpam-6711	48	15	with	with	ADP
ejpam-6711	48	16	infectious	infectious	ADJ
ejpam-6711	48	17	disease	disease	NOUN
ejpam-6711	48	18	models	model	NOUN
ejpam-6711	48	19	.	.	PUNCT
ejpam-6711	49	1	alharbi	alharbi	PROPN
ejpam-6711	49	2	et	et	PROPN
ejpam-6711	49	3	al	al	PROPN
ejpam-6711	49	4	.	.	PROPN
ejpam-6711	50	1	(	(	PUNCT
ejpam-6711	50	2	2025	2025	NUM
ejpam-6711	50	3	)	)	PUNCT
ejpam-6711	51	1	[	[	X
ejpam-6711	51	2	20	20	NUM
ejpam-6711	51	3	]	]	PUNCT
ejpam-6711	51	4	presented	present	VERB
ejpam-6711	51	5	a	a	DET
ejpam-6711	51	6	four	four	NUM
ejpam-6711	51	7	-	-	PUNCT
ejpam-6711	51	8	compartment	compartment	NOUN
ejpam-6711	51	9	model	model	NOUN
ejpam-6711	51	10	incorporating	incorporate	VERB
ejpam-6711	51	11	social	social	ADJ
ejpam-6711	51	12	factors	factor	NOUN
ejpam-6711	51	13	,	,	PUNCT
ejpam-6711	51	14	demonstrating	demonstrate	VERB
ejpam-6711	51	15	through	through	ADP
ejpam-6711	51	16	stability	stability	NOUN
ejpam-6711	51	17	and	and	CCONJ
ejpam-6711	51	18	optimal	optimal	ADJ
ejpam-6711	51	19	control	control	NOUN
ejpam-6711	51	20	analyses	analyse	VERB
ejpam-6711	51	21	that	that	SCONJ
ejpam-6711	51	22	l.	l.	PROPN
ejpam-6711	51	23	yaseen	yaseen	PROPN
ejpam-6711	51	24	et	et	PROPN
ejpam-6711	51	25	al	al	PROPN
ejpam-6711	51	26	.	.	PUNCT
ejpam-6711	51	27	/	/	SYM
ejpam-6711	51	28	eur	eur	PROPN
ejpam-6711	51	29	.	.	PUNCT
ejpam-6711	52	1	j.	j.	PROPN
ejpam-6711	52	2	pure	pure	PROPN
ejpam-6711	52	3	appl	appl	PROPN
ejpam-6711	52	4	.	.	PROPN
ejpam-6711	52	5	math	math	PROPN
ejpam-6711	52	6	,	,	PUNCT
ejpam-6711	52	7	18	18	NUM
ejpam-6711	52	8	(	(	PUNCT
ejpam-6711	52	9	4	4	NUM
ejpam-6711	52	10	)	)	PUNCT
ejpam-6711	52	11	(	(	PUNCT
ejpam-6711	52	12	2025	2025	NUM
ejpam-6711	52	13	)	)	PUNCT
ejpam-6711	52	14	,	,	PUNCT
ejpam-6711	52	15	6711	6711	NUM
ejpam-6711	52	16	3	3	NUM
ejpam-6711	52	17	of	of	ADP
ejpam-6711	52	18	29	29	NUM
ejpam-6711	52	19	targeted	target	VERB
ejpam-6711	52	20	interventions	intervention	NOUN
ejpam-6711	52	21	can	can	AUX
ejpam-6711	52	22	significantly	significantly	ADV
ejpam-6711	52	23	reduce	reduce	VERB
ejpam-6711	52	24	addiction	addiction	NOUN
ejpam-6711	52	25	rates	rate	NOUN
ejpam-6711	52	26	and	and	CCONJ
ejpam-6711	52	27	social	social	ADJ
ejpam-6711	52	28	costs	cost	NOUN
ejpam-6711	52	29	.	.	PUNCT
ejpam-6711	53	1	new	new	ADJ
ejpam-6711	53	2	approaches	approach	NOUN
ejpam-6711	53	3	have	have	AUX
ejpam-6711	53	4	also	also	ADV
ejpam-6711	53	5	integrated	integrate	VERB
ejpam-6711	53	6	artificial	artificial	ADJ
ejpam-6711	53	7	intelligence	intelligence	NOUN
ejpam-6711	53	8	(	(	PUNCT
ejpam-6711	53	9	ai	ai	NOUN
ejpam-6711	53	10	)	)	PUNCT
ejpam-6711	53	11	.	.	PUNCT
ejpam-6711	54	1	kim	kim	PROPN
ejpam-6711	54	2	et	et	PROPN
ejpam-6711	54	3	al	al	PROPN
ejpam-6711	54	4	.	.	PROPN
ejpam-6711	54	5	(	(	PUNCT
ejpam-6711	54	6	2025	2025	NUM
ejpam-6711	54	7	)	)	PUNCT
ejpam-6711	55	1	[	[	X
ejpam-6711	55	2	21	21	NUM
ejpam-6711	55	3	]	]	PUNCT
ejpam-6711	55	4	reviewed	review	VERB
ejpam-6711	55	5	how	how	SCONJ
ejpam-6711	55	6	ai	ai	ADJ
ejpam-6711	55	7	-	-	PUNCT
ejpam-6711	55	8	mediated	mediate	VERB
ejpam-6711	55	9	communication	communication	NOUN
ejpam-6711	55	10	enhances	enhance	VERB
ejpam-6711	55	11	treatment	treatment	NOUN
ejpam-6711	55	12	,	,	PUNCT
ejpam-6711	55	13	prevention	prevention	NOUN
ejpam-6711	55	14	,	,	PUNCT
ejpam-6711	55	15	and	and	CCONJ
ejpam-6711	55	16	control	control	NOUN
ejpam-6711	55	17	strategies	strategy	NOUN
ejpam-6711	55	18	,	,	PUNCT
ejpam-6711	55	19	showing	show	VERB
ejpam-6711	55	20	its	its	PRON
ejpam-6711	55	21	potential	potential	NOUN
ejpam-6711	55	22	to	to	PART
ejpam-6711	55	23	improve	improve	VERB
ejpam-6711	55	24	engagement	engagement	NOUN
ejpam-6711	55	25	and	and	CCONJ
ejpam-6711	55	26	health	health	NOUN
ejpam-6711	55	27	outcomes	outcome	NOUN
ejpam-6711	55	28	.	.	PUNCT
ejpam-6711	56	1	after	after	ADP
ejpam-6711	56	2	reviewing	review	VERB
ejpam-6711	56	3	the	the	DET
ejpam-6711	56	4	existing	exist	VERB
ejpam-6711	56	5	literature	literature	NOUN
ejpam-6711	56	6	,	,	PUNCT
ejpam-6711	56	7	we	we	PRON
ejpam-6711	56	8	identified	identify	VERB
ejpam-6711	56	9	several	several	ADJ
ejpam-6711	56	10	research	research	NOUN
ejpam-6711	56	11	gaps	gap	NOUN
ejpam-6711	56	12	,	,	PUNCT
ejpam-6711	56	13	and	and	CCONJ
ejpam-6711	56	14	to	to	PART
ejpam-6711	56	15	address	address	VERB
ejpam-6711	56	16	them	they	PRON
ejpam-6711	56	17	,	,	PUNCT
ejpam-6711	56	18	we	we	PRON
ejpam-6711	56	19	developed	develop	VERB
ejpam-6711	56	20	a	a	DET
ejpam-6711	56	21	mathematical	mathematical	ADJ
ejpam-6711	56	22	model	model	NOUN
ejpam-6711	56	23	that	that	PRON
ejpam-6711	56	24	incorporates	incorporate	VERB
ejpam-6711	56	25	the	the	DET
ejpam-6711	56	26	important	important	ADJ
ejpam-6711	56	27	concept	concept	NOUN
ejpam-6711	56	28	of	of	ADP
ejpam-6711	56	29	proneness	proneness	NOUN
ejpam-6711	56	30	,	,	PUNCT
ejpam-6711	56	31	distinguishing	distinguish	VERB
ejpam-6711	56	32	between	between	ADP
ejpam-6711	56	33	individuals	individual	NOUN
ejpam-6711	56	34	at	at	ADP
ejpam-6711	56	35	high	high	ADJ
ejpam-6711	56	36	and	and	CCONJ
ejpam-6711	56	37	low	low	ADJ
ejpam-6711	56	38	risk	risk	NOUN
ejpam-6711	56	39	of	of	ADP
ejpam-6711	56	40	addiction	addiction	NOUN
ejpam-6711	56	41	.	.	PUNCT
ejpam-6711	57	1	this	this	DET
ejpam-6711	57	2	concept	concept	NOUN
ejpam-6711	57	3	,	,	PUNCT
ejpam-6711	57	4	which	which	PRON
ejpam-6711	57	5	reflects	reflect	VERB
ejpam-6711	57	6	the	the	DET
ejpam-6711	57	7	susceptibility	susceptibility	NOUN
ejpam-6711	57	8	of	of	ADP
ejpam-6711	57	9	individuals	individual	NOUN
ejpam-6711	57	10	or	or	CCONJ
ejpam-6711	57	11	populations	population	NOUN
ejpam-6711	57	12	to	to	ADP
ejpam-6711	57	13	specific	specific	ADJ
ejpam-6711	57	14	outcomes	outcome	NOUN
ejpam-6711	57	15	,	,	PUNCT
ejpam-6711	57	16	is	be	AUX
ejpam-6711	57	17	combined	combine	VERB
ejpam-6711	57	18	with	with	ADP
ejpam-6711	57	19	treatment	treatment	NOUN
ejpam-6711	57	20	as	as	ADP
ejpam-6711	57	21	a	a	DET
ejpam-6711	57	22	control	control	NOUN
ejpam-6711	57	23	strategy	strategy	NOUN
ejpam-6711	57	24	to	to	PART
ejpam-6711	57	25	mitigate	mitigate	VERB
ejpam-6711	57	26	drug	drug	NOUN
ejpam-6711	57	27	addiction	addiction	NOUN
ejpam-6711	57	28	.	.	PUNCT
ejpam-6711	58	1	proneness	proneness	NOUN
ejpam-6711	58	2	is	be	AUX
ejpam-6711	58	3	widely	widely	ADV
ejpam-6711	58	4	applied	apply	VERB
ejpam-6711	58	5	in	in	ADP
ejpam-6711	58	6	assessing	assess	VERB
ejpam-6711	58	7	vulnerabilities	vulnerability	NOUN
ejpam-6711	58	8	arising	arise	VERB
ejpam-6711	58	9	from	from	ADP
ejpam-6711	58	10	environmental	environmental	ADJ
ejpam-6711	58	11	and	and	CCONJ
ejpam-6711	58	12	social	social	ADJ
ejpam-6711	58	13	conditions	condition	NOUN
ejpam-6711	58	14	,	,	PUNCT
ejpam-6711	58	15	including	include	VERB
ejpam-6711	58	16	disease	disease	NOUN
ejpam-6711	58	17	outbreaks	outbreak	NOUN
ejpam-6711	58	18	and	and	CCONJ
ejpam-6711	58	19	ecological	ecological	ADJ
ejpam-6711	58	20	changes	change	NOUN
ejpam-6711	58	21	[	[	X
ejpam-6711	58	22	22–24	22–24	NUM
ejpam-6711	58	23	]	]	PUNCT
ejpam-6711	58	24	.	.	PUNCT
ejpam-6711	59	1	building	build	VERB
ejpam-6711	59	2	on	on	ADP
ejpam-6711	59	3	this	this	DET
ejpam-6711	59	4	foundation	foundation	NOUN
ejpam-6711	59	5	,	,	PUNCT
ejpam-6711	59	6	the	the	DET
ejpam-6711	59	7	present	present	ADJ
ejpam-6711	59	8	paper	paper	NOUN
ejpam-6711	59	9	proposes	propose	VERB
ejpam-6711	59	10	a	a	DET
ejpam-6711	59	11	comprehensive	comprehensive	ADJ
ejpam-6711	59	12	mathematical	mathematical	ADJ
ejpam-6711	59	13	model	model	NOUN
ejpam-6711	59	14	of	of	ADP
ejpam-6711	59	15	drug	drug	NOUN
ejpam-6711	59	16	addiction	addiction	NOUN
ejpam-6711	59	17	dynamics	dynamic	NOUN
ejpam-6711	59	18	.	.	PUNCT
ejpam-6711	60	1	the	the	DET
ejpam-6711	60	2	model	model	NOUN
ejpam-6711	60	3	classifies	classify	VERB
ejpam-6711	60	4	populations	population	NOUN
ejpam-6711	60	5	according	accord	VERB
ejpam-6711	60	6	to	to	ADP
ejpam-6711	60	7	risk	risk	NOUN
ejpam-6711	60	8	level	level	NOUN
ejpam-6711	60	9	and	and	CCONJ
ejpam-6711	60	10	treatment	treatment	NOUN
ejpam-6711	60	11	status	status	NOUN
ejpam-6711	60	12	,	,	PUNCT
ejpam-6711	60	13	derives	derive	VERB
ejpam-6711	60	14	key	key	ADJ
ejpam-6711	60	15	threshold	threshold	NOUN
ejpam-6711	60	16	parameters	parameter	NOUN
ejpam-6711	60	17	,	,	PUNCT
ejpam-6711	60	18	and	and	CCONJ
ejpam-6711	60	19	examines	examine	VERB
ejpam-6711	60	20	both	both	DET
ejpam-6711	60	21	stability	stability	NOUN
ejpam-6711	60	22	and	and	CCONJ
ejpam-6711	60	23	sensitivity	sensitivity	NOUN
ejpam-6711	60	24	.	.	PUNCT
ejpam-6711	61	1	the	the	DET
ejpam-6711	61	2	basic	basic	ADJ
ejpam-6711	61	3	reproduction	reproduction	NOUN
ejpam-6711	61	4	number	number	NOUN
ejpam-6711	61	5	is	be	AUX
ejpam-6711	61	6	calculated	calculate	VERB
ejpam-6711	61	7	to	to	PART
ejpam-6711	61	8	assess	assess	VERB
ejpam-6711	61	9	the	the	DET
ejpam-6711	61	10	transmission	transmission	NOUN
ejpam-6711	61	11	potential	potential	NOUN
ejpam-6711	61	12	of	of	ADP
ejpam-6711	61	13	addiction	addiction	NOUN
ejpam-6711	61	14	,	,	PUNCT
ejpam-6711	61	15	while	while	SCONJ
ejpam-6711	61	16	numerical	numerical	ADJ
ejpam-6711	61	17	simulations	simulation	NOUN
ejpam-6711	61	18	highlight	highlight	VERB
ejpam-6711	61	19	the	the	DET
ejpam-6711	61	20	critical	critical	ADJ
ejpam-6711	61	21	factors	factor	NOUN
ejpam-6711	61	22	influencing	influence	VERB
ejpam-6711	61	23	addiction	addiction	NOUN
ejpam-6711	61	24	spread	spread	NOUN
ejpam-6711	61	25	and	and	CCONJ
ejpam-6711	61	26	control	control	NOUN
ejpam-6711	61	27	.	.	PUNCT
ejpam-6711	62	1	the	the	DET
ejpam-6711	62	2	findings	finding	NOUN
ejpam-6711	62	3	underscore	underscore	VERB
ejpam-6711	62	4	the	the	DET
ejpam-6711	62	5	importance	importance	NOUN
ejpam-6711	62	6	of	of	ADP
ejpam-6711	62	7	timely	timely	ADJ
ejpam-6711	62	8	treatment	treatment	NOUN
ejpam-6711	62	9	interventions	intervention	NOUN
ejpam-6711	62	10	and	and	CCONJ
ejpam-6711	62	11	provide	provide	VERB
ejpam-6711	62	12	valuable	valuable	ADJ
ejpam-6711	62	13	insights	insight	NOUN
ejpam-6711	62	14	for	for	ADP
ejpam-6711	62	15	designing	design	VERB
ejpam-6711	62	16	effective	effective	ADJ
ejpam-6711	62	17	public	public	ADJ
ejpam-6711	62	18	health	health	NOUN
ejpam-6711	62	19	strategies	strategy	NOUN
ejpam-6711	62	20	to	to	PART
ejpam-6711	62	21	reduce	reduce	VERB
ejpam-6711	62	22	substance	substance	NOUN
ejpam-6711	62	23	abuse	abuse	NOUN
ejpam-6711	62	24	.	.	PUNCT
ejpam-6711	63	1	2	2	X
ejpam-6711	63	2	.	.	X
ejpam-6711	63	3	model	model	NOUN
ejpam-6711	63	4	formulation	formulation	NOUN
ejpam-6711	63	5	in	in	ADP
ejpam-6711	63	6	this	this	DET
ejpam-6711	63	7	section	section	NOUN
ejpam-6711	63	8	,	,	PUNCT
ejpam-6711	63	9	we	we	PRON
ejpam-6711	63	10	develop	develop	VERB
ejpam-6711	63	11	a	a	DET
ejpam-6711	63	12	mathematical	mathematical	ADJ
ejpam-6711	63	13	model	model	NOUN
ejpam-6711	63	14	to	to	PART
ejpam-6711	63	15	describe	describe	VERB
ejpam-6711	63	16	the	the	DET
ejpam-6711	63	17	dynamics	dynamic	NOUN
ejpam-6711	63	18	of	of	ADP
ejpam-6711	63	19	drug	drug	NOUN
ejpam-6711	63	20	abuse	abuse	NOUN
ejpam-6711	63	21	,	,	PUNCT
ejpam-6711	63	22	incorporating	incorporate	VERB
ejpam-6711	63	23	different	different	ADJ
ejpam-6711	63	24	treatment	treatment	NOUN
ejpam-6711	63	25	types	type	NOUN
ejpam-6711	63	26	and	and	CCONJ
ejpam-6711	63	27	risk	risk	NOUN
ejpam-6711	63	28	levels	level	NOUN
ejpam-6711	63	29	.	.	PUNCT
ejpam-6711	64	1	the	the	DET
ejpam-6711	64	2	total	total	ADJ
ejpam-6711	64	3	human	human	ADJ
ejpam-6711	64	4	population	population	NOUN
ejpam-6711	64	5	is	be	AUX
ejpam-6711	64	6	divided	divide	VERB
ejpam-6711	64	7	into	into	ADP
ejpam-6711	64	8	seven	seven	NUM
ejpam-6711	64	9	compartments	compartment	NOUN
ejpam-6711	64	10	based	base	VERB
ejpam-6711	64	11	on	on	ADP
ejpam-6711	64	12	their	their	PRON
ejpam-6711	64	13	relationship	relationship	NOUN
ejpam-6711	64	14	to	to	ADP
ejpam-6711	64	15	drug	drug	NOUN
ejpam-6711	64	16	addiction	addiction	NOUN
ejpam-6711	64	17	:	:	PUNCT
ejpam-6711	64	18	•	•	NUM
ejpam-6711	64	19	high	high	ADJ
ejpam-6711	64	20	-	-	PUNCT
ejpam-6711	64	21	risk	risk	NOUN
ejpam-6711	64	22	susceptible	susceptible	ADJ
ejpam-6711	64	23	individuals	individual	NOUN
ejpam-6711	64	24	,	,	PUNCT
ejpam-6711	64	25	denoted	denote	VERB
ejpam-6711	64	26	by	by	ADP
ejpam-6711	64	27	si	si	PROPN
ejpam-6711	64	28	,	,	PUNCT
ejpam-6711	64	29	•	•	ADJ
ejpam-6711	64	30	low	low	ADJ
ejpam-6711	64	31	-	-	PUNCT
ejpam-6711	64	32	risk	risk	NOUN
ejpam-6711	64	33	susceptible	susceptible	ADJ
ejpam-6711	64	34	individuals	individual	NOUN
ejpam-6711	64	35	,	,	PUNCT
ejpam-6711	64	36	denoted	denote	VERB
ejpam-6711	64	37	by	by	ADP
ejpam-6711	64	38	sd	sd	NOUN
ejpam-6711	64	39	,	,	PUNCT
ejpam-6711	64	40	•	•	ADV
ejpam-6711	64	41	prone	prone	ADJ
ejpam-6711	64	42	individuals	individual	NOUN
ejpam-6711	64	43	,	,	PUNCT
ejpam-6711	64	44	denoted	denote	VERB
ejpam-6711	64	45	by	by	ADP
ejpam-6711	64	46	p	p	PROPN
ejpam-6711	64	47	,	,	PUNCT
ejpam-6711	64	48	who	who	PRON
ejpam-6711	64	49	have	have	VERB
ejpam-6711	64	50	a	a	DET
ejpam-6711	64	51	tendency	tendency	NOUN
ejpam-6711	64	52	towards	towards	ADP
ejpam-6711	64	53	addiction	addiction	NOUN
ejpam-6711	64	54	,	,	PUNCT
ejpam-6711	64	55	•	•	ADP
ejpam-6711	64	56	active	active	ADJ
ejpam-6711	64	57	drug	drug	NOUN
ejpam-6711	64	58	abusers	abuser	NOUN
ejpam-6711	64	59	,	,	PUNCT
ejpam-6711	64	60	denoted	denote	VERB
ejpam-6711	64	61	by	by	ADP
ejpam-6711	64	62	i	i	PROPN
ejpam-6711	64	63	d	d	PROPN
ejpam-6711	64	64	,	,	PUNCT
ejpam-6711	64	65	•	•	NUM
ejpam-6711	64	66	individuals	individual	NOUN
ejpam-6711	64	67	in	in	ADP
ejpam-6711	64	68	treatment	treatment	NOUN
ejpam-6711	64	69	but	but	CCONJ
ejpam-6711	64	70	not	not	PART
ejpam-6711	64	71	hospitalized	hospitalize	VERB
ejpam-6711	64	72	,	,	PUNCT
ejpam-6711	64	73	denoted	denote	VERB
ejpam-6711	64	74	by	by	ADP
ejpam-6711	64	75	tp	tp	NOUN
ejpam-6711	64	76	,	,	PUNCT
ejpam-6711	64	77	•	•	NUM
ejpam-6711	64	78	individuals	individual	NOUN
ejpam-6711	64	79	receiving	receive	VERB
ejpam-6711	64	80	treatment	treatment	NOUN
ejpam-6711	64	81	in	in	ADP
ejpam-6711	64	82	a	a	DET
ejpam-6711	64	83	hospital	hospital	NOUN
ejpam-6711	64	84	setting	setting	NOUN
ejpam-6711	64	85	,	,	PUNCT
ejpam-6711	64	86	denoted	denote	VERB
ejpam-6711	64	87	by	by	ADP
ejpam-6711	64	88	th	th	NOUN
ejpam-6711	64	89	,	,	PUNCT
ejpam-6711	64	90	•	•	NOUN
ejpam-6711	64	91	recovered	recover	VERB
ejpam-6711	64	92	individuals	individual	NOUN
ejpam-6711	64	93	,	,	PUNCT
ejpam-6711	64	94	denoted	denote	VERB
ejpam-6711	64	95	by	by	ADP
ejpam-6711	64	96	r.	r.	PROPN
ejpam-6711	64	97	we	we	PRON
ejpam-6711	64	98	emphasize	emphasize	VERB
ejpam-6711	64	99	the	the	DET
ejpam-6711	64	100	distinction	distinction	NOUN
ejpam-6711	64	101	between	between	ADP
ejpam-6711	64	102	low	low	ADJ
ejpam-6711	64	103	-	-	PUNCT
ejpam-6711	64	104	risk	risk	NOUN
ejpam-6711	64	105	and	and	CCONJ
ejpam-6711	64	106	high	high	ADJ
ejpam-6711	64	107	-	-	PUNCT
ejpam-6711	64	108	risk	risk	NOUN
ejpam-6711	64	109	susceptible	susceptible	ADJ
ejpam-6711	64	110	populations	population	NOUN
ejpam-6711	64	111	to	to	PART
ejpam-6711	64	112	capture	capture	VERB
ejpam-6711	64	113	the	the	DET
ejpam-6711	64	114	structure	structure	NOUN
ejpam-6711	64	115	of	of	ADP
ejpam-6711	64	116	risk	risk	NOUN
ejpam-6711	64	117	,	,	PUNCT
ejpam-6711	64	118	which	which	PRON
ejpam-6711	64	119	is	be	AUX
ejpam-6711	64	120	critical	critical	ADJ
ejpam-6711	64	121	for	for	ADP
ejpam-6711	64	122	understanding	understand	VERB
ejpam-6711	64	123	behavioral	behavioral	ADJ
ejpam-6711	64	124	patterns	pattern	NOUN
ejpam-6711	64	125	.	.	PUNCT
ejpam-6711	65	1	factors	factor	NOUN
ejpam-6711	65	2	such	such	ADJ
ejpam-6711	65	3	as	as	ADP
ejpam-6711	65	4	community	community	NOUN
ejpam-6711	65	5	environment	environment	NOUN
ejpam-6711	65	6	,	,	PUNCT
ejpam-6711	65	7	personal	personal	ADJ
ejpam-6711	65	8	values	value	NOUN
ejpam-6711	65	9	,	,	PUNCT
ejpam-6711	65	10	aspirations	aspiration	NOUN
ejpam-6711	65	11	,	,	PUNCT
ejpam-6711	65	12	and	and	CCONJ
ejpam-6711	65	13	social	social	ADJ
ejpam-6711	65	14	support	support	NOUN
ejpam-6711	65	15	systems	system	NOUN
ejpam-6711	65	16	influence	influence	VERB
ejpam-6711	65	17	these	these	DET
ejpam-6711	65	18	risk	risk	NOUN
ejpam-6711	65	19	levels	level	NOUN
ejpam-6711	65	20	.	.	PUNCT
ejpam-6711	66	1	the	the	DET
ejpam-6711	66	2	parameters	parameter	NOUN
ejpam-6711	66	3	used	use	VERB
ejpam-6711	66	4	in	in	ADP
ejpam-6711	66	5	the	the	DET
ejpam-6711	66	6	model	model	NOUN
ejpam-6711	66	7	are	be	AUX
ejpam-6711	66	8	summarized	summarize	VERB
ejpam-6711	66	9	in	in	ADP
ejpam-6711	66	10	table	table	NOUN
ejpam-6711	66	11	1	1	NUM
ejpam-6711	66	12	.	.	PUNCT
ejpam-6711	67	1	where	where	SCONJ
ejpam-6711	67	2	,	,	PUNCT
ejpam-6711	67	3	ϵ1	ϵ1	NOUN
ejpam-6711	67	4	=	=	SYM
ejpam-6711	67	5	β1p	β1p	PROPN
ejpam-6711	67	6	n	n	NOUN
ejpam-6711	67	7	,	,	PUNCT
ejpam-6711	67	8	ϵ2	ϵ2	PROPN
ejpam-6711	67	9	=	=	SYM
ejpam-6711	67	10	β1ηp	β1ηp	PUNCT
ejpam-6711	67	11	n	n	X
ejpam-6711	67	12	,	,	PUNCT
ejpam-6711	67	13	l.	l.	PROPN
ejpam-6711	67	14	yaseen	yaseen	PROPN
ejpam-6711	67	15	et	et	PROPN
ejpam-6711	67	16	al	al	PROPN
ejpam-6711	67	17	.	.	PUNCT
ejpam-6711	67	18	/	/	SYM
ejpam-6711	67	19	eur	eur	PROPN
ejpam-6711	67	20	.	.	PUNCT
ejpam-6711	68	1	j.	j.	PROPN
ejpam-6711	68	2	pure	pure	PROPN
ejpam-6711	68	3	appl	appl	PROPN
ejpam-6711	68	4	.	.	PROPN
ejpam-6711	68	5	math	math	PROPN
ejpam-6711	68	6	,	,	PUNCT
ejpam-6711	68	7	18	18	NUM
ejpam-6711	68	8	(	(	PUNCT
ejpam-6711	68	9	4	4	NUM
ejpam-6711	68	10	)	)	PUNCT
ejpam-6711	68	11	(	(	PUNCT
ejpam-6711	68	12	2025	2025	NUM
ejpam-6711	68	13	)	)	PUNCT
ejpam-6711	68	14	,	,	PUNCT
ejpam-6711	68	15	6711	6711	NUM
ejpam-6711	68	16	4	4	NUM
ejpam-6711	68	17	of	of	ADP
ejpam-6711	68	18	29	29	NUM
ejpam-6711	68	19	and	and	CCONJ
ejpam-6711	68	20	based	base	VERB
ejpam-6711	68	21	on	on	ADP
ejpam-6711	68	22	these	these	DET
ejpam-6711	68	23	assumptions	assumption	NOUN
ejpam-6711	68	24	,	,	PUNCT
ejpam-6711	68	25	the	the	DET
ejpam-6711	68	26	transmission	transmission	NOUN
ejpam-6711	68	27	diagram	diagram	NOUN
ejpam-6711	68	28	shown	show	VERB
ejpam-6711	68	29	in	in	ADP
ejpam-6711	68	30	figure	figure	NOUN
ejpam-6711	68	31	1	1	NUM
ejpam-6711	68	32	is	be	AUX
ejpam-6711	68	33	constructed	construct	VERB
ejpam-6711	68	34	.	.	PUNCT
ejpam-6711	69	1	from	from	ADP
ejpam-6711	69	2	figure	figure	NOUN
ejpam-6711	69	3	1	1	NUM
ejpam-6711	69	4	,	,	PUNCT
ejpam-6711	69	5	the	the	DET
ejpam-6711	69	6	governing	govern	VERB
ejpam-6711	69	7	differential	differential	ADJ
ejpam-6711	69	8	equations	equation	NOUN
ejpam-6711	69	9	of	of	ADP
ejpam-6711	69	10	the	the	DET
ejpam-6711	69	11	model	model	NOUN
ejpam-6711	69	12	are	be	AUX
ejpam-6711	69	13	given	give	VERB
ejpam-6711	69	14	by	by	ADP
ejpam-6711	69	15	:	:	PUNCT
ejpam-6711	69	16	dsd	dsd	NOUN
ejpam-6711	69	17	dt	dt	NOUN
ejpam-6711	69	18	=	=	PUNCT
ejpam-6711	69	19	ρ∆+	ρ∆+	X
ejpam-6711	69	20	δ2si	δ2si	PUNCT
ejpam-6711	69	21	−	−	PROPN
ejpam-6711	69	22	(	(	PUNCT
ejpam-6711	69	23	ϵ1	ϵ1	PROPN
ejpam-6711	69	24	+	+	CCONJ
ejpam-6711	69	25	µ+	µ+	DET
ejpam-6711	69	26	δ1)sd	δ1)sd	PROPN
ejpam-6711	69	27	,	,	PUNCT
ejpam-6711	69	28	dsi	dsi	NOUN
ejpam-6711	69	29	dt	dt	NOUN
ejpam-6711	69	30	=	=	SYM
ejpam-6711	69	31	ρ(1−∆	ρ(1−∆	ADJ
ejpam-6711	69	32	)	)	PUNCT
ejpam-6711	69	33	+	+	CCONJ
ejpam-6711	70	1	δ1sd	δ1sd	NUM
ejpam-6711	70	2	−	−	PROPN
ejpam-6711	70	3	(	(	PUNCT
ejpam-6711	70	4	ϵ2	ϵ2	VERB
ejpam-6711	70	5	+	+	CCONJ
ejpam-6711	70	6	µ+	µ+	DET
ejpam-6711	70	7	δ2)si	δ2)si	NOUN
ejpam-6711	70	8	,	,	PUNCT
ejpam-6711	70	9	dp	dp	NOUN
ejpam-6711	70	10	dt	dt	NOUN
ejpam-6711	70	11	=	=	PUNCT
ejpam-6711	70	12	ϵ2si	ϵ2si	PUNCT
ejpam-6711	71	1	+	+	CCONJ
ejpam-6711	71	2	ϵ1sd	ϵ1sd	PUNCT
ejpam-6711	71	3	−	−	NOUN
ejpam-6711	71	4	(	(	PUNCT
ejpam-6711	71	5	φ+	φ+	NOUN
ejpam-6711	71	6	µ)p	µ)p	NOUN
ejpam-6711	71	7	,	,	PUNCT
ejpam-6711	71	8	did	do	VERB
ejpam-6711	71	9	dt	dt	NOUN
ejpam-6711	71	10	=	=	PUNCT
ejpam-6711	71	11	φp	φp	ADP
ejpam-6711	71	12	+	+	CCONJ
ejpam-6711	71	13	α3tp	α3tp	NUM
ejpam-6711	71	14	+	+	NUM
ejpam-6711	71	15	α2r−	α2r−	NOUN
ejpam-6711	71	16	(	(	PUNCT
ejpam-6711	71	17	(	(	PUNCT
ejpam-6711	71	18	1−	1−	NUM
ejpam-6711	71	19	γ)σ	γ)σ	NOUN
ejpam-6711	71	20	+	+	CCONJ
ejpam-6711	71	21	γσ	γσ	ADP
ejpam-6711	71	22	+	+	PUNCT
ejpam-6711	71	23	µ+	µ+	PROPN
ejpam-6711	71	24	ω1	ω1	PROPN
ejpam-6711	71	25	+	+	CCONJ
ejpam-6711	71	26	ϕ	ϕ	X
ejpam-6711	71	27	)	)	PUNCT
ejpam-6711	71	28	i	i	PROPN
ejpam-6711	71	29	d	d	PROPN
ejpam-6711	71	30	,	,	PUNCT
ejpam-6711	71	31	dtp	dtp	PROPN
ejpam-6711	71	32	dt	dt	NOUN
ejpam-6711	71	33	=	=	PUNCT
ejpam-6711	71	34	(	(	PUNCT
ejpam-6711	71	35	1−	1−	NUM
ejpam-6711	71	36	γ)σid	γ)σid	PROPN
ejpam-6711	71	37	+	+	CCONJ
ejpam-6711	71	38	λ1th	λ1th	PUNCT
ejpam-6711	72	1	−	−	PROPN
ejpam-6711	72	2	(	(	PUNCT
ejpam-6711	72	3	α3	α3	NOUN
ejpam-6711	72	4	+	+	CCONJ
ejpam-6711	73	1	λ1	λ1	ADJ
ejpam-6711	74	1	+	+	CCONJ
ejpam-6711	74	2	ϱ1	ϱ1	NOUN
ejpam-6711	74	3	+	+	CCONJ
ejpam-6711	74	4	µ)tp	µ)tp	PROPN
ejpam-6711	74	5	,	,	PUNCT
ejpam-6711	74	6	dth	dth	ADJ
ejpam-6711	74	7	dt	dt	NOUN
ejpam-6711	74	8	=	=	SYM
ejpam-6711	74	9	λ1tp	λ1tp	X
ejpam-6711	74	10	+	+	NUM
ejpam-6711	74	11	γσid	γσid	NOUN
ejpam-6711	74	12	−	−	PROPN
ejpam-6711	74	13	(	(	PUNCT
ejpam-6711	74	14	λ1	λ1	ADJ
ejpam-6711	74	15	+	+	X
ejpam-6711	74	16	ϱ2	ϱ2	PROPN
ejpam-6711	74	17	+	+	CCONJ
ejpam-6711	74	18	µ)th	µ)th	PROPN
ejpam-6711	74	19	,	,	PUNCT
ejpam-6711	74	20	dr	dr	PROPN
ejpam-6711	74	21	dt	dt	NOUN
ejpam-6711	74	22	=	=	SYM
ejpam-6711	74	23	ϕid	ϕid	PROPN
ejpam-6711	74	24	+	+	CCONJ
ejpam-6711	74	25	ϱ1tp	ϱ1tp	PUNCT
ejpam-6711	74	26	+	+	CCONJ
ejpam-6711	74	27	ϱ2th	ϱ2th	PUNCT
ejpam-6711	74	28	−	−	PROPN
ejpam-6711	74	29	(	(	PUNCT
ejpam-6711	74	30	α2	α2	ADJ
ejpam-6711	74	31	+	+	CCONJ
ejpam-6711	74	32	µ)r	µ)r	NOUN
ejpam-6711	74	33	.	.	PUNCT
ejpam-6711	75	1	(	(	PUNCT
ejpam-6711	75	2	2.1	2.1	NUM
ejpam-6711	75	3	)	)	PUNCT
ejpam-6711	75	4	the	the	DET
ejpam-6711	75	5	model	model	NOUN
ejpam-6711	75	6	is	be	AUX
ejpam-6711	75	7	non	non	ADJ
ejpam-6711	75	8	-	-	ADJ
ejpam-6711	75	9	negative	negative	ADJ
ejpam-6711	75	10	initial	initial	ADJ
ejpam-6711	75	11	conditions	condition	NOUN
ejpam-6711	75	12	:	:	PUNCT
ejpam-6711	75	13	sd(0	sd(0	ADJ
ejpam-6711	75	14	)	)	PUNCT
ejpam-6711	75	15	,	,	PUNCT
ejpam-6711	75	16	si(0	si(0	NOUN
ejpam-6711	75	17	)	)	PUNCT
ejpam-6711	75	18	,	,	PUNCT
ejpam-6711	75	19	p	p	X
ejpam-6711	75	20	(	(	PUNCT
ejpam-6711	75	21	0	0	NUM
ejpam-6711	75	22	)	)	PUNCT
ejpam-6711	75	23	,	,	PUNCT
ejpam-6711	75	24	id(0	id(0	PROPN
ejpam-6711	75	25	)	)	PUNCT
ejpam-6711	75	26	,	,	PUNCT
ejpam-6711	75	27	tp(0	tp(0	NOUN
ejpam-6711	75	28	)	)	PUNCT
ejpam-6711	75	29	,	,	PUNCT
ejpam-6711	75	30	th(0	th(0	PROPN
ejpam-6711	75	31	)	)	PUNCT
ejpam-6711	75	32	,	,	PUNCT
ejpam-6711	75	33	r(0	r(0	PROPN
ejpam-6711	75	34	)	)	PUNCT
ejpam-6711	75	35	≥	≥	NOUN
ejpam-6711	75	36	0	0	NUM
ejpam-6711	75	37	.	.	PUNCT
ejpam-6711	76	1	(	(	PUNCT
ejpam-6711	76	2	2.2	2.2	NUM
ejpam-6711	76	3	)	)	PUNCT
ejpam-6711	76	4	p	p	NOUN
ejpam-6711	76	5	𝑺𝒊	𝑺𝒊	NOUN
ejpam-6711	76	6	𝑺𝒅	𝑺𝒅	PROPN
ejpam-6711	76	7	𝑰𝑫	𝑰𝑫	PROPN
ejpam-6711	76	8	r	r	NOUN
ejpam-6711	76	9	𝑻𝑯	𝑻𝑯	NOUN
ejpam-6711	77	1	𝑻𝒑	𝑻𝒑	PROPN
ejpam-6711	77	2	𝜇𝑃	𝜇𝑃	NOUN
ejpam-6711	77	3	𝜇𝑆𝑑	𝜇𝑆𝑑	NOUN
ejpam-6711	77	4	𝜖2𝑆𝑖	𝜖2𝑆𝑖	VERB
ejpam-6711	77	5	𝜖1𝑆𝑑	𝜖1𝑆𝑑	PRON
ejpam-6711	77	6	𝛿2𝑆𝑖	𝛿2𝑆𝑖	NOUN
ejpam-6711	77	7	𝛿1𝑆𝑑	𝛿1𝑆𝑑	VERB
ejpam-6711	77	8	𝜇𝑆𝑖	𝜇𝑆𝑖	PRON
ejpam-6711	77	9	𝜑	𝜑	NOUN
ejpam-6711	77	10	𝛼3𝑇𝑃	𝛼3𝑇𝑃	VERB
ejpam-6711	77	11	𝜇𝑇𝐻	𝜇𝑇𝐻	NOUN
ejpam-6711	77	12	𝜇𝑅𝜇	𝜇𝑅𝜇	NOUN
ejpam-6711	77	13	+	+	CCONJ
ejpam-6711	77	14	𝜔1	𝜔1	ADJ
ejpam-6711	77	15	𝐼𝐷	𝐼𝐷	PROPN
ejpam-6711	77	16	𝜙𝐼𝐷	𝜙𝐼𝐷	PUNCT
ejpam-6711	77	17	𝛾𝜎𝐼𝐷	𝛾𝜎𝐼𝐷	NOUN
ejpam-6711	77	18	1	1	NUM
ejpam-6711	77	19	−	−	NOUN
ejpam-6711	77	20	𝛾	𝛾	NOUN
ejpam-6711	77	21	𝜎	𝜎	NOUN
ejpam-6711	77	22	𝐼	𝐼	PROPN
ejpam-6711	77	23	𝐷	𝐷	PROPN
ejpam-6711	77	24	𝜚1𝑇𝑝	𝜚1𝑇𝑝	NOUN
ejpam-6711	77	25	𝜚2𝑇𝐻	𝜚2𝑇𝐻	ADJ
ejpam-6711	77	26	λ1𝑇𝑝	λ1𝑇𝑝	NOUN
ejpam-6711	77	27	𝜆1𝑇𝐻	𝜆1𝑇𝐻	NOUN
ejpam-6711	77	28	𝜌(1	𝜌(1	PROPN
ejpam-6711	77	29	−	−	PROPN
ejpam-6711	77	30	δ	δ	PROPN
ejpam-6711	77	31	)	)	PUNCT
ejpam-6711	77	32	𝜌δ	𝜌δ	NOUN
ejpam-6711	77	33	𝛼2𝑅	𝛼2𝑅	NUM
ejpam-6711	77	34	𝜇𝑇𝑃	𝜇𝑇𝑃	NOUN
ejpam-6711	77	35	figure	figure	NOUN
ejpam-6711	77	36	1	1	NUM
ejpam-6711	77	37	:	:	PUNCT
ejpam-6711	77	38	graphical	graphical	ADJ
ejpam-6711	77	39	representation	representation	NOUN
ejpam-6711	77	40	of	of	ADP
ejpam-6711	77	41	drug	drug	NOUN
ejpam-6711	77	42	addiction	addiction	NOUN
ejpam-6711	77	43	dynamics	dynamic	NOUN
ejpam-6711	77	44	.	.	PUNCT
ejpam-6711	78	1	l.	l.	PROPN
ejpam-6711	78	2	yaseen	yaseen	PROPN
ejpam-6711	78	3	et	et	PROPN
ejpam-6711	78	4	al	al	PROPN
ejpam-6711	78	5	.	.	PUNCT
ejpam-6711	78	6	/	/	SYM
ejpam-6711	78	7	eur	eur	PROPN
ejpam-6711	78	8	.	.	PUNCT
ejpam-6711	79	1	j.	j.	PROPN
ejpam-6711	79	2	pure	pure	PROPN
ejpam-6711	79	3	appl	appl	PROPN
ejpam-6711	79	4	.	.	PROPN
ejpam-6711	79	5	math	math	PROPN
ejpam-6711	79	6	,	,	PUNCT
ejpam-6711	79	7	18	18	NUM
ejpam-6711	79	8	(	(	PUNCT
ejpam-6711	79	9	4	4	NUM
ejpam-6711	79	10	)	)	PUNCT
ejpam-6711	79	11	(	(	PUNCT
ejpam-6711	79	12	2025	2025	NUM
ejpam-6711	79	13	)	)	PUNCT
ejpam-6711	79	14	,	,	PUNCT
ejpam-6711	79	15	6711	6711	NUM
ejpam-6711	79	16	5	5	NUM
ejpam-6711	79	17	of	of	ADP
ejpam-6711	79	18	29	29	NUM
ejpam-6711	79	19	parameter	parameter	NOUN
ejpam-6711	79	20	description	description	NOUN
ejpam-6711	79	21	∆	∆	PROPN
ejpam-6711	80	1	proportion	proportion	NOUN
ejpam-6711	80	2	of	of	ADP
ejpam-6711	80	3	new	new	ADJ
ejpam-6711	80	4	recruits	recruit	NOUN
ejpam-6711	80	5	in	in	ADP
ejpam-6711	80	6	the	the	DET
ejpam-6711	80	7	population	population	NOUN
ejpam-6711	80	8	ρ	ρ	NOUN
ejpam-6711	80	9	recruitment	recruitment	NOUN
ejpam-6711	80	10	rate	rate	NOUN
ejpam-6711	80	11	into	into	ADP
ejpam-6711	80	12	the	the	DET
ejpam-6711	80	13	susceptible	susceptible	ADJ
ejpam-6711	80	14	population	population	NOUN
ejpam-6711	80	15	γ	γ	NOUN
ejpam-6711	80	16	proportion	proportion	NOUN
ejpam-6711	80	17	of	of	ADP
ejpam-6711	80	18	drug	drug	NOUN
ejpam-6711	80	19	abusers	abuser	NOUN
ejpam-6711	80	20	hospitalized	hospitalize	VERB
ejpam-6711	80	21	in	in	ADP
ejpam-6711	80	22	rehabilitation	rehabilitation	NOUN
ejpam-6711	80	23	centers	center	NOUN
ejpam-6711	80	24	φ	φ	PROPN
ejpam-6711	80	25	rate	rate	NOUN
ejpam-6711	80	26	at	at	ADP
ejpam-6711	80	27	which	which	PRON
ejpam-6711	80	28	prone	prone	ADJ
ejpam-6711	80	29	individuals	individual	NOUN
ejpam-6711	80	30	become	become	VERB
ejpam-6711	80	31	drug	drug	NOUN
ejpam-6711	80	32	abusers	abuser	NOUN
ejpam-6711	80	33	α3	α3	ADJ
ejpam-6711	80	34	transmission	transmission	NOUN
ejpam-6711	80	35	rate	rate	NOUN
ejpam-6711	80	36	from	from	ADP
ejpam-6711	80	37	interaction	interaction	NOUN
ejpam-6711	80	38	between	between	ADP
ejpam-6711	80	39	non	non	ADJ
ejpam-6711	80	40	-	-	ADJ
ejpam-6711	80	41	hospitalized	hospitalize	VERB
ejpam-6711	80	42	treated	treat	VERB
ejpam-6711	80	43	individuals	individual	NOUN
ejpam-6711	80	44	and	and	CCONJ
ejpam-6711	80	45	drug	drug	NOUN
ejpam-6711	80	46	abusers	abuser	NOUN
ejpam-6711	80	47	α2	α2	ADJ
ejpam-6711	80	48	transmission	transmission	NOUN
ejpam-6711	80	49	rate	rate	NOUN
ejpam-6711	80	50	from	from	ADP
ejpam-6711	80	51	interaction	interaction	NOUN
ejpam-6711	80	52	between	between	ADP
ejpam-6711	80	53	recovered	recover	VERB
ejpam-6711	80	54	individuals	individual	NOUN
ejpam-6711	80	55	and	and	CCONJ
ejpam-6711	80	56	drug	drug	NOUN
ejpam-6711	80	57	abusers	abuser	NOUN
ejpam-6711	80	58	ϵ2	ϵ2	VERB
ejpam-6711	80	59	transmission	transmission	NOUN
ejpam-6711	80	60	rate	rate	NOUN
ejpam-6711	80	61	from	from	ADP
ejpam-6711	80	62	low	low	ADJ
ejpam-6711	80	63	-	-	PUNCT
ejpam-6711	80	64	risk	risk	NOUN
ejpam-6711	80	65	susceptible	susceptible	ADJ
ejpam-6711	80	66	to	to	ADP
ejpam-6711	80	67	prone	prone	ADJ
ejpam-6711	80	68	individuals	individual	NOUN
ejpam-6711	80	69	ϵ1	ϵ1	VERB
ejpam-6711	80	70	transmission	transmission	NOUN
ejpam-6711	80	71	rate	rate	NOUN
ejpam-6711	80	72	from	from	ADP
ejpam-6711	80	73	high	high	ADJ
ejpam-6711	80	74	-	-	PUNCT
ejpam-6711	80	75	risk	risk	NOUN
ejpam-6711	80	76	susceptible	susceptible	ADJ
ejpam-6711	80	77	to	to	ADP
ejpam-6711	80	78	prone	prone	ADJ
ejpam-6711	80	79	individuals	individual	NOUN
ejpam-6711	80	80	δ1	δ1	NOUN
ejpam-6711	80	81	transition	transition	NOUN
ejpam-6711	80	82	rate	rate	NOUN
ejpam-6711	80	83	from	from	ADP
ejpam-6711	80	84	high	high	ADJ
ejpam-6711	80	85	-	-	PUNCT
ejpam-6711	80	86	risk	risk	NOUN
ejpam-6711	80	87	to	to	ADP
ejpam-6711	80	88	low	low	ADJ
ejpam-6711	80	89	-	-	PUNCT
ejpam-6711	80	90	risk	risk	NOUN
ejpam-6711	80	91	susceptibility	susceptibility	NOUN
ejpam-6711	80	92	δ2	δ2	VERB
ejpam-6711	80	93	transition	transition	NOUN
ejpam-6711	80	94	rate	rate	NOUN
ejpam-6711	80	95	from	from	ADP
ejpam-6711	80	96	low	low	ADJ
ejpam-6711	80	97	-	-	PUNCT
ejpam-6711	80	98	risk	risk	NOUN
ejpam-6711	80	99	to	to	ADP
ejpam-6711	80	100	high	high	ADJ
ejpam-6711	80	101	-	-	PUNCT
ejpam-6711	80	102	risk	risk	NOUN
ejpam-6711	80	103	susceptibility	susceptibility	NOUN
ejpam-6711	80	104	λ1	λ1	ADJ
ejpam-6711	80	105	transfer	transfer	NOUN
ejpam-6711	80	106	rate	rate	NOUN
ejpam-6711	80	107	from	from	ADP
ejpam-6711	80	108	hospital	hospital	NOUN
ejpam-6711	80	109	to	to	ADP
ejpam-6711	80	110	non	non	ADJ
ejpam-6711	80	111	-	-	ADJ
ejpam-6711	80	112	hospitalized	hospitalize	VERB
ejpam-6711	80	113	treatment	treatment	NOUN
ejpam-6711	80	114	λ1	λ1	NOUN
ejpam-6711	80	115	transfer	transfer	NOUN
ejpam-6711	80	116	rate	rate	NOUN
ejpam-6711	80	117	from	from	ADP
ejpam-6711	80	118	non	non	ADJ
ejpam-6711	80	119	-	-	ADJ
ejpam-6711	80	120	hospitalized	hospitalize	VERB
ejpam-6711	80	121	to	to	ADP
ejpam-6711	80	122	hospital	hospital	NOUN
ejpam-6711	80	123	treatment	treatment	NOUN
ejpam-6711	80	124	ϱ1	ϱ1	PROPN
ejpam-6711	80	125	recovery	recovery	NOUN
ejpam-6711	80	126	rate	rate	NOUN
ejpam-6711	80	127	of	of	ADP
ejpam-6711	80	128	drug	drug	NOUN
ejpam-6711	80	129	abusers	abuser	NOUN
ejpam-6711	80	130	under	under	ADP
ejpam-6711	80	131	non	non	ADJ
ejpam-6711	80	132	-	-	ADJ
ejpam-6711	80	133	hospitalized	hospitalize	VERB
ejpam-6711	80	134	care	care	PROPN
ejpam-6711	80	135	ϱ2	ϱ2	PROPN
ejpam-6711	80	136	recovery	recovery	NOUN
ejpam-6711	80	137	rate	rate	NOUN
ejpam-6711	80	138	of	of	ADP
ejpam-6711	80	139	drug	drug	NOUN
ejpam-6711	80	140	abusers	abuser	NOUN
ejpam-6711	80	141	under	under	ADP
ejpam-6711	80	142	hospital	hospital	NOUN
ejpam-6711	80	143	care	care	NOUN
ejpam-6711	80	144	σ	σ	NOUN
ejpam-6711	80	145	rate	rate	NOUN
ejpam-6711	80	146	of	of	ADP
ejpam-6711	80	147	initiation	initiation	NOUN
ejpam-6711	80	148	of	of	ADP
ejpam-6711	80	149	treatment	treatment	NOUN
ejpam-6711	80	150	from	from	ADP
ejpam-6711	80	151	drug	drug	NOUN
ejpam-6711	80	152	abusers	abuser	NOUN
ejpam-6711	80	153	ω1	ω1	PROPN
ejpam-6711	80	154	death	death	NOUN
ejpam-6711	80	155	rate	rate	NOUN
ejpam-6711	80	156	of	of	ADP
ejpam-6711	80	157	drug	drug	NOUN
ejpam-6711	80	158	abusers	abuser	NOUN
ejpam-6711	80	159	µ	µ	DET
ejpam-6711	80	160	natural	natural	ADJ
ejpam-6711	80	161	death	death	NOUN
ejpam-6711	80	162	rate	rate	NOUN
ejpam-6711	80	163	ϕ	ϕ	PROPN
ejpam-6711	80	164	rate	rate	NOUN
ejpam-6711	80	165	at	at	ADP
ejpam-6711	80	166	which	which	PRON
ejpam-6711	80	167	drug	drug	NOUN
ejpam-6711	80	168	abusers	abuser	NOUN
ejpam-6711	80	169	convert	convert	VERB
ejpam-6711	80	170	to	to	PART
ejpam-6711	80	171	recovered	recover	VERB
ejpam-6711	80	172	individuals	individual	NOUN
ejpam-6711	80	173	table	table	NOUN
ejpam-6711	80	174	1	1	NUM
ejpam-6711	80	175	:	:	PUNCT
ejpam-6711	80	176	description	description	NOUN
ejpam-6711	80	177	of	of	ADP
ejpam-6711	80	178	model	model	NOUN
ejpam-6711	80	179	parameters	parameter	NOUN
ejpam-6711	80	180	.	.	PUNCT
ejpam-6711	81	1	3	3	X
ejpam-6711	81	2	.	.	X
ejpam-6711	81	3	basic	basic	ADJ
ejpam-6711	81	4	properties	property	NOUN
ejpam-6711	81	5	of	of	ADP
ejpam-6711	81	6	the	the	DET
ejpam-6711	81	7	model	model	NOUN
ejpam-6711	81	8	3.1	3.1	NUM
ejpam-6711	81	9	.	.	PUNCT
ejpam-6711	81	10	positively	positively	ADV
ejpam-6711	81	11	invariant	invariant	ADJ
ejpam-6711	81	12	region	region	NOUN
ejpam-6711	81	13	let	let	VERB
ejpam-6711	81	14	the	the	DET
ejpam-6711	81	15	total	total	ADJ
ejpam-6711	81	16	population	population	NOUN
ejpam-6711	81	17	at	at	ADP
ejpam-6711	81	18	time	time	NOUN
ejpam-6711	81	19	t	t	PROPN
ejpam-6711	81	20	be	be	AUX
ejpam-6711	81	21	n(t	n(t	PROPN
ejpam-6711	81	22	)	)	PUNCT
ejpam-6711	81	23	=	=	SYM
ejpam-6711	81	24	si(t	si(t	X
ejpam-6711	81	25	)	)	PUNCT
ejpam-6711	81	26	+	+	CCONJ
ejpam-6711	81	27	sd(t	sd(t	NOUN
ejpam-6711	81	28	)	)	PUNCT
ejpam-6711	81	29	+	+	CCONJ
ejpam-6711	81	30	p	p	X
ejpam-6711	81	31	(	(	PUNCT
ejpam-6711	81	32	t	t	PROPN
ejpam-6711	81	33	)	)	PUNCT
ejpam-6711	81	34	+	+	NUM
ejpam-6711	81	35	id(t	id(t	NOUN
ejpam-6711	81	36	)	)	PUNCT
ejpam-6711	81	37	+	+	CCONJ
ejpam-6711	81	38	tp(t	tp(t	NUM
ejpam-6711	81	39	)	)	PUNCT
ejpam-6711	81	40	+	+	CCONJ
ejpam-6711	81	41	th(t	th(t	X
ejpam-6711	81	42	)	)	PUNCT
ejpam-6711	81	43	+	+	NOUN
ejpam-6711	81	44	r(t	r(t	NOUN
ejpam-6711	81	45	)	)	PUNCT
ejpam-6711	81	46	.	.	PUNCT
ejpam-6711	82	1	(	(	PUNCT
ejpam-6711	82	2	3.3	3.3	NUM
ejpam-6711	82	3	)	)	PUNCT
ejpam-6711	82	4	differentiating	differentiate	VERB
ejpam-6711	82	5	both	both	DET
ejpam-6711	82	6	sides	side	NOUN
ejpam-6711	82	7	of	of	ADP
ejpam-6711	82	8	(	(	PUNCT
ejpam-6711	82	9	3.3	3.3	NUM
ejpam-6711	82	10	)	)	PUNCT
ejpam-6711	82	11	with	with	ADP
ejpam-6711	82	12	respect	respect	NOUN
ejpam-6711	82	13	to	to	ADP
ejpam-6711	82	14	time	time	NOUN
ejpam-6711	82	15	and	and	CCONJ
ejpam-6711	82	16	substituting	substitute	VERB
ejpam-6711	82	17	from	from	ADP
ejpam-6711	82	18	the	the	DET
ejpam-6711	82	19	model	model	NOUN
ejpam-6711	82	20	equations	equation	NOUN
ejpam-6711	82	21	yields	yield	VERB
ejpam-6711	82	22	dn	dn	INTJ
ejpam-6711	82	23	dt	dt	NOUN
ejpam-6711	83	1	=	=	SYM
ejpam-6711	83	2	∆−	∆−	NOUN
ejpam-6711	83	3	µn	µn	ADP
ejpam-6711	83	4	,	,	PUNCT
ejpam-6711	83	5	(	(	PUNCT
ejpam-6711	83	6	3.4	3.4	NUM
ejpam-6711	83	7	)	)	PUNCT
ejpam-6711	83	8	where	where	SCONJ
ejpam-6711	83	9	∆	∆	PROPN
ejpam-6711	83	10	is	be	AUX
ejpam-6711	83	11	the	the	DET
ejpam-6711	83	12	recruitment	recruitment	NOUN
ejpam-6711	83	13	rate	rate	NOUN
ejpam-6711	83	14	and	and	CCONJ
ejpam-6711	83	15	µ	µ	NOUN
ejpam-6711	83	16	is	be	AUX
ejpam-6711	83	17	the	the	DET
ejpam-6711	83	18	natural	natural	ADJ
ejpam-6711	83	19	death	death	NOUN
ejpam-6711	83	20	rate	rate	NOUN
ejpam-6711	83	21	.	.	PUNCT
ejpam-6711	84	1	the	the	DET
ejpam-6711	84	2	solution	solution	NOUN
ejpam-6711	84	3	to	to	ADP
ejpam-6711	84	4	(	(	PUNCT
ejpam-6711	84	5	3.4	3.4	NUM
ejpam-6711	84	6	)	)	PUNCT
ejpam-6711	84	7	is	be	AUX
ejpam-6711	84	8	given	give	VERB
ejpam-6711	84	9	by	by	ADP
ejpam-6711	84	10	n(t	n(t	PROPN
ejpam-6711	84	11	)	)	PUNCT
ejpam-6711	84	12	=	=	PUNCT
ejpam-6711	84	13	(	(	PUNCT
ejpam-6711	84	14	n(0)−	n(0)−	PROPN
ejpam-6711	84	15	∆	∆	PROPN
ejpam-6711	84	16	µ	µ	X
ejpam-6711	84	17	)	)	PUNCT
ejpam-6711	84	18	e−µt	e−µt	PROPN
ejpam-6711	84	19	+	+	CCONJ
ejpam-6711	84	20	∆	∆	PROPN
ejpam-6711	84	21	µ	µ	X
ejpam-6711	84	22	.	.	PUNCT
ejpam-6711	85	1	(	(	PUNCT
ejpam-6711	85	2	3.5	3.5	NUM
ejpam-6711	85	3	)	)	PUNCT
ejpam-6711	85	4	as	as	ADP
ejpam-6711	85	5	t	t	PROPN
ejpam-6711	85	6	→	→	SYM
ejpam-6711	85	7	∞	∞	PROPN
ejpam-6711	85	8	,	,	PUNCT
ejpam-6711	85	9	the	the	DET
ejpam-6711	85	10	exponential	exponential	ADJ
ejpam-6711	85	11	term	term	NOUN
ejpam-6711	85	12	vanishes	vanish	VERB
ejpam-6711	85	13	and	and	CCONJ
ejpam-6711	85	14	the	the	DET
ejpam-6711	85	15	total	total	ADJ
ejpam-6711	85	16	population	population	NOUN
ejpam-6711	85	17	approaches	approach	VERB
ejpam-6711	85	18	the	the	DET
ejpam-6711	85	19	steadystate	steadystate	ADJ
ejpam-6711	85	20	value	value	NOUN
ejpam-6711	85	21	n∗	n∗	NOUN
ejpam-6711	86	1	=	=	SYM
ejpam-6711	86	2	∆	∆	PROPN
ejpam-6711	86	3	µ	µ	X
ejpam-6711	86	4	.	.	PUNCT
ejpam-6711	87	1	(	(	PUNCT
ejpam-6711	87	2	3.6	3.6	NUM
ejpam-6711	87	3	)	)	PUNCT
ejpam-6711	87	4	l.	l.	PROPN
ejpam-6711	87	5	yaseen	yaseen	PROPN
ejpam-6711	87	6	et	et	PROPN
ejpam-6711	87	7	al	al	PROPN
ejpam-6711	87	8	.	.	PUNCT
ejpam-6711	87	9	/	/	SYM
ejpam-6711	87	10	eur	eur	PROPN
ejpam-6711	87	11	.	.	PUNCT
ejpam-6711	88	1	j.	j.	PROPN
ejpam-6711	88	2	pure	pure	PROPN
ejpam-6711	88	3	appl	appl	PROPN
ejpam-6711	88	4	.	.	PROPN
ejpam-6711	88	5	math	math	PROPN
ejpam-6711	88	6	,	,	PUNCT
ejpam-6711	88	7	18	18	NUM
ejpam-6711	88	8	(	(	PUNCT
ejpam-6711	88	9	4	4	NUM
ejpam-6711	88	10	)	)	PUNCT
ejpam-6711	88	11	(	(	PUNCT
ejpam-6711	88	12	2025	2025	NUM
ejpam-6711	88	13	)	)	PUNCT
ejpam-6711	88	14	,	,	PUNCT
ejpam-6711	88	15	6711	6711	NUM
ejpam-6711	88	16	6	6	NUM
ejpam-6711	88	17	of	of	ADP
ejpam-6711	88	18	29	29	NUM
ejpam-6711	88	19	therefore	therefore	ADV
ejpam-6711	88	20	,	,	PUNCT
ejpam-6711	88	21	the	the	DET
ejpam-6711	88	22	feasible	feasible	ADJ
ejpam-6711	88	23	region	region	NOUN
ejpam-6711	88	24	for	for	ADP
ejpam-6711	88	25	the	the	DET
ejpam-6711	88	26	system	system	NOUN
ejpam-6711	88	27	,	,	PUNCT
ejpam-6711	88	28	which	which	PRON
ejpam-6711	88	29	is	be	AUX
ejpam-6711	88	30	positively	positively	ADV
ejpam-6711	88	31	invariant	invariant	ADJ
ejpam-6711	88	32	and	and	CCONJ
ejpam-6711	88	33	biologically	biologically	ADV
ejpam-6711	88	34	meaningful	meaningful	ADJ
ejpam-6711	88	35	,	,	PUNCT
ejpam-6711	88	36	can	can	AUX
ejpam-6711	88	37	be	be	AUX
ejpam-6711	88	38	defined	define	VERB
ejpam-6711	88	39	as	as	ADP
ejpam-6711	88	40	γ	γ	X
ejpam-6711	88	41	=	=	SYM
ejpam-6711	88	42	{	{	PUNCT
ejpam-6711	88	43	(	(	PUNCT
ejpam-6711	88	44	sd	sd	NOUN
ejpam-6711	88	45	,	,	PUNCT
ejpam-6711	88	46	si	si	X
ejpam-6711	88	47	,	,	PUNCT
ejpam-6711	88	48	p	p	X
ejpam-6711	88	49	,	,	PUNCT
ejpam-6711	88	50	i	i	PROPN
ejpam-6711	88	51	d	d	PROPN
ejpam-6711	88	52	,	,	PUNCT
ejpam-6711	88	53	tp	tp	X
ejpam-6711	88	54	,	,	PUNCT
ejpam-6711	88	55	th	th	X
ejpam-6711	88	56	,	,	PUNCT
ejpam-6711	88	57	r	r	NOUN
ejpam-6711	88	58	)	)	PUNCT
ejpam-6711	88	59	∈	∈	PROPN
ejpam-6711	88	60	r7	r7	NOUN
ejpam-6711	88	61	+	+	CCONJ
ejpam-6711	88	62	:	:	PUNCT
ejpam-6711	88	63	sd	sd	ADP
ejpam-6711	88	64	+	+	CCONJ
ejpam-6711	88	65	si	si	X
ejpam-6711	89	1	+	+	CCONJ
ejpam-6711	89	2	p	p	NOUN
ejpam-6711	90	1	+	+	CCONJ
ejpam-6711	90	2	i	i	PROPN
ejpam-6711	90	3	d	d	PROPN
ejpam-6711	91	1	+	+	CCONJ
ejpam-6711	91	2	tp	tp	PRON
ejpam-6711	91	3	+	+	CCONJ
ejpam-6711	91	4	th	th	X
ejpam-6711	91	5	+	+	NOUN
ejpam-6711	91	6	r	r	NOUN
ejpam-6711	91	7	≤	≤	NUM
ejpam-6711	91	8	∆	∆	X
ejpam-6711	91	9	µ	µ	X
ejpam-6711	91	10	}	}	PUNCT
ejpam-6711	91	11	.	.	PUNCT
ejpam-6711	92	1	(	(	PUNCT
ejpam-6711	92	2	3.7	3.7	NUM
ejpam-6711	92	3	)	)	PUNCT
ejpam-6711	92	4	this	this	PRON
ejpam-6711	92	5	ensures	ensure	VERB
ejpam-6711	92	6	that	that	SCONJ
ejpam-6711	92	7	all	all	DET
ejpam-6711	92	8	model	model	NOUN
ejpam-6711	92	9	solutions	solution	NOUN
ejpam-6711	92	10	with	with	ADP
ejpam-6711	92	11	non	non	ADJ
ejpam-6711	92	12	-	-	ADJ
ejpam-6711	92	13	negative	negative	ADJ
ejpam-6711	92	14	initial	initial	ADJ
ejpam-6711	92	15	conditions	condition	NOUN
ejpam-6711	92	16	remain	remain	VERB
ejpam-6711	92	17	bounded	bounded	ADJ
ejpam-6711	92	18	and	and	CCONJ
ejpam-6711	92	19	non	non	ADJ
ejpam-6711	92	20	-	-	ADJ
ejpam-6711	92	21	negative	negative	ADJ
ejpam-6711	92	22	for	for	ADP
ejpam-6711	92	23	all	all	DET
ejpam-6711	92	24	future	future	ADJ
ejpam-6711	92	25	time	time	NOUN
ejpam-6711	92	26	,	,	PUNCT
ejpam-6711	92	27	preserving	preserve	VERB
ejpam-6711	92	28	the	the	DET
ejpam-6711	92	29	biological	biological	ADJ
ejpam-6711	92	30	relevance	relevance	NOUN
ejpam-6711	92	31	of	of	ADP
ejpam-6711	92	32	the	the	DET
ejpam-6711	92	33	model	model	NOUN
ejpam-6711	92	34	.	.	PUNCT
ejpam-6711	93	1	3.2	3.2	NUM
ejpam-6711	93	2	.	.	PUNCT
ejpam-6711	94	1	positivity	positivity	NOUN
ejpam-6711	94	2	and	and	CCONJ
ejpam-6711	94	3	boundedness	boundedness	NOUN
ejpam-6711	94	4	theorem	theorem	VERB
ejpam-6711	94	5	1	1	NUM
ejpam-6711	94	6	(	(	PUNCT
ejpam-6711	94	7	positivity	positivity	NOUN
ejpam-6711	94	8	and	and	CCONJ
ejpam-6711	94	9	boundedness	boundedness	NOUN
ejpam-6711	94	10	)	)	PUNCT
ejpam-6711	94	11	.	.	PUNCT
ejpam-6711	95	1	for	for	ADP
ejpam-6711	95	2	non	non	ADJ
ejpam-6711	95	3	-	-	ADJ
ejpam-6711	95	4	negative	negative	ADJ
ejpam-6711	95	5	initial	initial	ADJ
ejpam-6711	95	6	conditions	condition	NOUN
ejpam-6711	95	7	(	(	PUNCT
ejpam-6711	95	8	sd(0	sd(0	NOUN
ejpam-6711	95	9	)	)	PUNCT
ejpam-6711	95	10	,	,	PUNCT
ejpam-6711	95	11	si(0	si(0	NOUN
ejpam-6711	95	12	)	)	PUNCT
ejpam-6711	95	13	,	,	PUNCT
ejpam-6711	95	14	p	p	X
ejpam-6711	95	15	(	(	PUNCT
ejpam-6711	95	16	0	0	NUM
ejpam-6711	95	17	)	)	PUNCT
ejpam-6711	95	18	,	,	PUNCT
ejpam-6711	95	19	id(0	id(0	PROPN
ejpam-6711	95	20	)	)	PUNCT
ejpam-6711	95	21	,	,	PUNCT
ejpam-6711	95	22	tp(0	tp(0	NOUN
ejpam-6711	95	23	)	)	PUNCT
ejpam-6711	95	24	,	,	PUNCT
ejpam-6711	95	25	th(0	th(0	PROPN
ejpam-6711	95	26	)	)	PUNCT
ejpam-6711	95	27	,	,	PUNCT
ejpam-6711	95	28	r(0	r(0	PROPN
ejpam-6711	95	29	)	)	PUNCT
ejpam-6711	95	30	)	)	PUNCT
ejpam-6711	95	31	∈	∈	PROPN
ejpam-6711	95	32	r7	r7	PROPN
ejpam-6711	95	33	+	+	PROPN
ejpam-6711	95	34	,	,	PUNCT
ejpam-6711	95	35	the	the	DET
ejpam-6711	95	36	solutions	solution	NOUN
ejpam-6711	95	37	of	of	ADP
ejpam-6711	95	38	system	system	NOUN
ejpam-6711	95	39	(	(	PUNCT
ejpam-6711	95	40	2.1	2.1	NUM
ejpam-6711	95	41	)	)	PUNCT
ejpam-6711	95	42	satisfy	satisfy	NOUN
ejpam-6711	95	43	:	:	PUNCT
ejpam-6711	95	44	(	(	PUNCT
ejpam-6711	95	45	i	i	NOUN
ejpam-6711	95	46	)	)	PUNCT
ejpam-6711	95	47	sd(t	sd(t	NOUN
ejpam-6711	95	48	)	)	PUNCT
ejpam-6711	95	49	,	,	PUNCT
ejpam-6711	95	50	si(t	si(t	X
ejpam-6711	95	51	)	)	PUNCT
ejpam-6711	95	52	,	,	PUNCT
ejpam-6711	95	53	p	p	X
ejpam-6711	95	54	(	(	PUNCT
ejpam-6711	95	55	t	t	PROPN
ejpam-6711	95	56	)	)	PUNCT
ejpam-6711	95	57	,	,	PUNCT
ejpam-6711	95	58	id(t	id(t	NOUN
ejpam-6711	95	59	)	)	PUNCT
ejpam-6711	95	60	,	,	PUNCT
ejpam-6711	95	61	tp(t	tp(t	NUM
ejpam-6711	95	62	)	)	PUNCT
ejpam-6711	95	63	,	,	PUNCT
ejpam-6711	95	64	th(t	th(t	NUM
ejpam-6711	95	65	)	)	PUNCT
ejpam-6711	95	66	,	,	PUNCT
ejpam-6711	95	67	r(t	r(t	NOUN
ejpam-6711	95	68	)	)	PUNCT
ejpam-6711	95	69	≥	≥	NOUN
ejpam-6711	95	70	0	0	NUM
ejpam-6711	95	71	∀t	∀t	PROPN
ejpam-6711	95	72	≥	≥	NOUN
ejpam-6711	95	73	0	0	NUM
ejpam-6711	95	74	.	.	PUNCT
ejpam-6711	96	1	(	(	PUNCT
ejpam-6711	96	2	ii	ii	PROPN
ejpam-6711	96	3	)	)	PUNCT
ejpam-6711	96	4	lim	lim	PROPN
ejpam-6711	96	5	supt→∞nd(t	supt→∞nd(t	PROPN
ejpam-6711	96	6	)	)	PUNCT
ejpam-6711	96	7	≤	≤	NOUN
ejpam-6711	96	8	∆	∆	PROPN
ejpam-6711	96	9	µ	µ	X
ejpam-6711	96	10	,	,	PUNCT
ejpam-6711	96	11	where	where	SCONJ
ejpam-6711	96	12	nd(t	nd(t	NOUN
ejpam-6711	96	13	)	)	PUNCT
ejpam-6711	96	14	=	=	SYM
ejpam-6711	96	15	∑	∑	PUNCT
ejpam-6711	96	16	x(t	x(t	PROPN
ejpam-6711	96	17	)	)	PUNCT
ejpam-6711	96	18	.	.	PUNCT
ejpam-6711	97	1	proof	proof	NOUN
ejpam-6711	97	2	.	.	PUNCT
ejpam-6711	98	1	consider	consider	VERB
ejpam-6711	98	2	the	the	DET
ejpam-6711	98	3	system	system	NOUN
ejpam-6711	98	4	(	(	PUNCT
ejpam-6711	98	5	2.1	2.1	NUM
ejpam-6711	98	6	)	)	PUNCT
ejpam-6711	98	7	.	.	PUNCT
ejpam-6711	99	1	for	for	ADP
ejpam-6711	99	2	any	any	DET
ejpam-6711	99	3	compartment	compartment	NOUN
ejpam-6711	99	4	,	,	PUNCT
ejpam-6711	99	5	x(t	x(t	PROPN
ejpam-6711	99	6	)	)	PUNCT
ejpam-6711	99	7	∈	∈	PROPN
ejpam-6711	99	8	{	{	PUNCT
ejpam-6711	99	9	sd	sd	NOUN
ejpam-6711	99	10	,	,	PUNCT
ejpam-6711	99	11	si	si	X
ejpam-6711	99	12	,	,	PUNCT
ejpam-6711	99	13	p	p	X
ejpam-6711	99	14	,	,	PUNCT
ejpam-6711	99	15	i	i	PROPN
ejpam-6711	99	16	d	d	PROPN
ejpam-6711	99	17	,	,	PUNCT
ejpam-6711	99	18	tp	tp	X
ejpam-6711	99	19	,	,	PUNCT
ejpam-6711	99	20	th	th	X
ejpam-6711	99	21	,	,	PUNCT
ejpam-6711	99	22	r	r	NOUN
ejpam-6711	99	23	}	}	PUNCT
ejpam-6711	99	24	.	.	PUNCT
ejpam-6711	100	1	the	the	DET
ejpam-6711	100	2	right	right	ADJ
ejpam-6711	100	3	-	-	PUNCT
ejpam-6711	100	4	hand	hand	NOUN
ejpam-6711	100	5	side	side	NOUN
ejpam-6711	100	6	satisfies	satisfie	NOUN
ejpam-6711	100	7	:	:	PUNCT
ejpam-6711	100	8	dx	dx	PROPN
ejpam-6711	100	9	dt	dt	PROPN
ejpam-6711	100	10	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6711	100	11	x=0	x=0	PROPN
ejpam-6711	100	12	≥	≥	NOUN
ejpam-6711	100	13	0	0	NUM
ejpam-6711	100	14	.	.	PUNCT
ejpam-6711	101	1	this	this	DET
ejpam-6711	101	2	quasi	quasi	ADJ
ejpam-6711	101	3	-	-	NOUN
ejpam-6711	101	4	positivity	positivity	ADJ
ejpam-6711	101	5	property	property	NOUN
ejpam-6711	101	6	ensures	ensure	VERB
ejpam-6711	101	7	solutions	solution	NOUN
ejpam-6711	101	8	remain	remain	VERB
ejpam-6711	101	9	non	non	ADJ
ejpam-6711	101	10	-	-	ADJ
ejpam-6711	101	11	negative	negative	ADJ
ejpam-6711	101	12	by	by	ADP
ejpam-6711	101	13	nagumo	nagumo	PROPN
ejpam-6711	101	14	’s	’s	PART
ejpam-6711	101	15	theorem	theorem	ADJ
ejpam-6711	101	16	.	.	PROPN
ejpam-6711	101	17	from	from	ADP
ejpam-6711	101	18	the	the	DET
ejpam-6711	101	19	total	total	ADJ
ejpam-6711	101	20	population	population	NOUN
ejpam-6711	101	21	equation	equation	NOUN
ejpam-6711	101	22	:	:	PUNCT
ejpam-6711	101	23	dnd	dnd	NOUN
ejpam-6711	101	24	dt	dt	PROPN
ejpam-6711	101	25	=	=	SYM
ejpam-6711	101	26	∆−	∆−	PROPN
ejpam-6711	101	27	µnd	µnd	VERB
ejpam-6711	101	28	−	−	PROPN
ejpam-6711	101	29	ω1id	ω1id	NOUN
ejpam-6711	101	30	,	,	PUNCT
ejpam-6711	101	31	≤	≤	NUM
ejpam-6711	101	32	∆−	∆−	NOUN
ejpam-6711	101	33	µnd	µnd	ADJ
ejpam-6711	101	34	.	.	PUNCT
ejpam-6711	102	1	(	(	PUNCT
ejpam-6711	102	2	since	since	SCONJ
ejpam-6711	102	3	ω1id	ω1id	X
ejpam-6711	102	4	≥	≥	NOUN
ejpam-6711	102	5	0	0	NUM
ejpam-6711	102	6	)	)	PUNCT
ejpam-6711	102	7	solving	solve	VERB
ejpam-6711	102	8	the	the	DET
ejpam-6711	102	9	differential	differential	ADJ
ejpam-6711	102	10	inequality	inequality	NOUN
ejpam-6711	102	11	using	use	VERB
ejpam-6711	102	12	an	an	DET
ejpam-6711	102	13	integrating	integrate	VERB
ejpam-6711	102	14	factor	factor	NOUN
ejpam-6711	102	15	eµt	eµt	NOUN
ejpam-6711	102	16	:	:	PUNCT
ejpam-6711	102	17	nd(t	nd(t	ADJ
ejpam-6711	102	18	)	)	PUNCT
ejpam-6711	102	19	≤	≤	NOUN
ejpam-6711	102	20	(	(	PUNCT
ejpam-6711	102	21	nd(0)−	nd(0)−	NOUN
ejpam-6711	102	22	∆	∆	PROPN
ejpam-6711	102	23	µ	µ	X
ejpam-6711	102	24	)	)	PUNCT
ejpam-6711	102	25	e−µt	e−µt	PROPN
ejpam-6711	102	26	+	+	CCONJ
ejpam-6711	102	27	∆	∆	PROPN
ejpam-6711	102	28	µ	µ	X
ejpam-6711	102	29	.	.	PUNCT
ejpam-6711	103	1	taking	take	VERB
ejpam-6711	103	2	the	the	DET
ejpam-6711	103	3	limit	limit	NOUN
ejpam-6711	103	4	superior	superior	ADJ
ejpam-6711	103	5	as	as	ADP
ejpam-6711	103	6	t	t	PROPN
ejpam-6711	103	7	→	→	SYM
ejpam-6711	103	8	∞	∞	PROPN
ejpam-6711	103	9	:	:	PUNCT
ejpam-6711	103	10	lim	lim	PROPN
ejpam-6711	103	11	sup	sup	PROPN
ejpam-6711	103	12	t→∞	t→∞	ADP
ejpam-6711	103	13	nd(t	nd(t	NOUN
ejpam-6711	103	14	)	)	PUNCT
ejpam-6711	103	15	≤	≤	NUM
ejpam-6711	103	16	∆	∆	PROPN
ejpam-6711	103	17	µ	µ	X
ejpam-6711	103	18	.	.	PUNCT
ejpam-6711	104	1	thus	thus	ADV
ejpam-6711	104	2	,	,	PUNCT
ejpam-6711	104	3	all	all	DET
ejpam-6711	104	4	solutions	solution	NOUN
ejpam-6711	104	5	eventually	eventually	ADV
ejpam-6711	104	6	enter	enter	VERB
ejpam-6711	104	7	and	and	CCONJ
ejpam-6711	104	8	remain	remain	VERB
ejpam-6711	104	9	in	in	ADP
ejpam-6711	104	10	the	the	DET
ejpam-6711	104	11	biologically	biologically	ADV
ejpam-6711	104	12	feasible	feasible	ADJ
ejpam-6711	104	13	region	region	NOUN
ejpam-6711	104	14	:	:	PUNCT
ejpam-6711	104	15	γ	γ	X
ejpam-6711	104	16	=	=	PRON
ejpam-6711	104	17	{	{	PUNCT
ejpam-6711	104	18	(	(	PUNCT
ejpam-6711	104	19	sd	sd	NOUN
ejpam-6711	104	20	,	,	PUNCT
ejpam-6711	104	21	si	si	X
ejpam-6711	104	22	,	,	PUNCT
ejpam-6711	104	23	p	p	X
ejpam-6711	104	24	,	,	PUNCT
ejpam-6711	104	25	i	i	PROPN
ejpam-6711	104	26	d	d	PROPN
ejpam-6711	104	27	,	,	PUNCT
ejpam-6711	104	28	tp	tp	X
ejpam-6711	104	29	,	,	PUNCT
ejpam-6711	104	30	th	th	X
ejpam-6711	104	31	,	,	PUNCT
ejpam-6711	104	32	r	r	NOUN
ejpam-6711	104	33	)	)	PUNCT
ejpam-6711	104	34	∈	∈	PROPN
ejpam-6711	104	35	r7	r7	NOUN
ejpam-6711	104	36	+	+	CCONJ
ejpam-6711	104	37	:	:	PUNCT
ejpam-6711	104	38	∑	∑	PUNCT
ejpam-6711	104	39	x	x	SYM
ejpam-6711	104	40	≤	≤	NUM
ejpam-6711	104	41	∆	∆	X
ejpam-6711	104	42	µ	µ	X
ejpam-6711	104	43	}	}	PUNCT
ejpam-6711	104	44	.	.	PUNCT
ejpam-6711	105	1	l.	l.	PROPN
ejpam-6711	105	2	yaseen	yaseen	PROPN
ejpam-6711	105	3	et	et	PROPN
ejpam-6711	105	4	al	al	PROPN
ejpam-6711	105	5	.	.	PUNCT
ejpam-6711	105	6	/	/	SYM
ejpam-6711	105	7	eur	eur	PROPN
ejpam-6711	105	8	.	.	PUNCT
ejpam-6711	106	1	j.	j.	PROPN
ejpam-6711	106	2	pure	pure	PROPN
ejpam-6711	106	3	appl	appl	PROPN
ejpam-6711	106	4	.	.	PROPN
ejpam-6711	106	5	math	math	PROPN
ejpam-6711	106	6	,	,	PUNCT
ejpam-6711	106	7	18	18	NUM
ejpam-6711	106	8	(	(	PUNCT
ejpam-6711	106	9	4	4	NUM
ejpam-6711	106	10	)	)	PUNCT
ejpam-6711	106	11	(	(	PUNCT
ejpam-6711	106	12	2025	2025	NUM
ejpam-6711	106	13	)	)	PUNCT
ejpam-6711	106	14	,	,	PUNCT
ejpam-6711	106	15	6711	6711	NUM
ejpam-6711	106	16	7	7	NUM
ejpam-6711	106	17	of	of	ADP
ejpam-6711	106	18	29	29	NUM
ejpam-6711	106	19	4	4	NUM
ejpam-6711	106	20	.	.	PUNCT
ejpam-6711	106	21	drug	drug	NOUN
ejpam-6711	106	22	-	-	PUNCT
ejpam-6711	106	23	free	free	ADJ
ejpam-6711	106	24	equilibrium	equilibrium	NOUN
ejpam-6711	106	25	point	point	NOUN
ejpam-6711	106	26	the	the	DET
ejpam-6711	106	27	drug	drug	NOUN
ejpam-6711	106	28	-	-	PUNCT
ejpam-6711	106	29	free	free	ADJ
ejpam-6711	106	30	equilibrium	equilibrium	NOUN
ejpam-6711	106	31	(	(	PUNCT
ejpam-6711	106	32	dfe	dfe	PROPN
ejpam-6711	106	33	)	)	PUNCT
ejpam-6711	107	1	[	[	X
ejpam-6711	107	2	25	25	NUM
ejpam-6711	107	3	]	]	PUNCT
ejpam-6711	107	4	of	of	ADP
ejpam-6711	107	5	system	system	NOUN
ejpam-6711	107	6	(	(	PUNCT
ejpam-6711	107	7	2.1	2.1	NUM
ejpam-6711	107	8	)	)	PUNCT
ejpam-6711	107	9	represents	represent	VERB
ejpam-6711	107	10	the	the	DET
ejpam-6711	107	11	state	state	NOUN
ejpam-6711	107	12	in	in	ADP
ejpam-6711	107	13	which	which	PRON
ejpam-6711	107	14	there	there	PRON
ejpam-6711	107	15	are	be	VERB
ejpam-6711	107	16	no	no	DET
ejpam-6711	107	17	active	active	ADJ
ejpam-6711	107	18	cases	case	NOUN
ejpam-6711	107	19	of	of	ADP
ejpam-6711	107	20	drug	drug	NOUN
ejpam-6711	107	21	abuse	abuse	NOUN
ejpam-6711	107	22	within	within	ADP
ejpam-6711	107	23	the	the	DET
ejpam-6711	107	24	population	population	NOUN
ejpam-6711	107	25	,	,	PUNCT
ejpam-6711	107	26	that	that	ADV
ejpam-6711	107	27	is	is	ADV
ejpam-6711	107	28	,	,	PUNCT
ejpam-6711	107	29	p	p	X
ejpam-6711	107	30	=	=	PUNCT
ejpam-6711	108	1	i	i	NOUN
ejpam-6711	108	2	d	d	NOUN
ejpam-6711	108	3	=	=	PRON
ejpam-6711	108	4	tp	tp	PROPN
ejpam-6711	108	5	=	=	PUNCT
ejpam-6711	108	6	th	th	X
ejpam-6711	108	7	=	=	SYM
ejpam-6711	108	8	r	r	NOUN
ejpam-6711	108	9	=	=	SYM
ejpam-6711	108	10	0	0	PROPN
ejpam-6711	108	11	.	.	PUNCT
ejpam-6711	108	12	theorem	theorem	ADJ
ejpam-6711	108	13	2	2	NUM
ejpam-6711	108	14	.	.	PUNCT
ejpam-6711	108	15	system	system	NOUN
ejpam-6711	108	16	(	(	PUNCT
ejpam-6711	108	17	2.1	2.1	NUM
ejpam-6711	108	18	)	)	PUNCT
ejpam-6711	108	19	admits	admit	VERB
ejpam-6711	108	20	a	a	DET
ejpam-6711	108	21	unique	unique	ADJ
ejpam-6711	108	22	drug	drug	NOUN
ejpam-6711	108	23	-	-	PUNCT
ejpam-6711	108	24	free	free	ADJ
ejpam-6711	108	25	equilibrium	equilibrium	NOUN
ejpam-6711	108	26	given	give	VERB
ejpam-6711	108	27	by	by	ADP
ejpam-6711	108	28	,	,	PUNCT
ejpam-6711	108	29	e0	e0	PROPN
ejpam-6711	108	30	=	=	PUNCT
ejpam-6711	108	31	(	(	PUNCT
ejpam-6711	108	32	s∗	s∗	PROPN
ejpam-6711	108	33	d	d	PROPN
ejpam-6711	108	34	,	,	PUNCT
ejpam-6711	108	35	s	s	NOUN
ejpam-6711	108	36	∗	∗	NOUN
ejpam-6711	108	37	i	i	PRON
ejpam-6711	108	38	,	,	PUNCT
ejpam-6711	108	39	0	0	NUM
ejpam-6711	108	40	,	,	PUNCT
ejpam-6711	108	41	0	0	NUM
ejpam-6711	108	42	,	,	PUNCT
ejpam-6711	108	43	0	0	NUM
ejpam-6711	108	44	,	,	PUNCT
ejpam-6711	108	45	0	0	NUM
ejpam-6711	108	46	,	,	PUNCT
ejpam-6711	108	47	0	0	NUM
ejpam-6711	108	48	)	)	PUNCT
ejpam-6711	108	49	,	,	PUNCT
ejpam-6711	108	50	where	where	SCONJ
ejpam-6711	108	51	the	the	DET
ejpam-6711	108	52	equilibrium	equilibrium	NOUN
ejpam-6711	108	53	susceptible	susceptible	ADJ
ejpam-6711	108	54	populations	population	NOUN
ejpam-6711	108	55	are	be	AUX
ejpam-6711	108	56	,	,	PUNCT
ejpam-6711	108	57	s∗	s∗	PROPN
ejpam-6711	108	58	d	d	NOUN
ejpam-6711	108	59	=	=	PUNCT
ejpam-6711	108	60	ρ(∆µ+	ρ(∆µ+	PROPN
ejpam-6711	108	61	δ2	δ2	VERB
ejpam-6711	108	62	)	)	PUNCT
ejpam-6711	108	63	µ(µ+	µ(µ+	NOUN
ejpam-6711	108	64	δ1	δ1	NOUN
ejpam-6711	108	65	+	+	CCONJ
ejpam-6711	108	66	δ2	δ2	VERB
ejpam-6711	108	67	)	)	PUNCT
ejpam-6711	108	68	,	,	PUNCT
ejpam-6711	108	69	s∗	s∗	PROPN
ejpam-6711	109	1	i	i	PRON
ejpam-6711	109	2	=	=	PUNCT
ejpam-6711	109	3	ρ[δ1	ρ[δ1	NOUN
ejpam-6711	109	4	+	+	CCONJ
ejpam-6711	109	5	(	(	PUNCT
ejpam-6711	109	6	1−∆)µ	1−∆)µ	NUM
ejpam-6711	109	7	]	]	PUNCT
ejpam-6711	109	8	µ(µ+	µ(µ+	NUM
ejpam-6711	109	9	δ1	δ1	NOUN
ejpam-6711	109	10	+	+	CCONJ
ejpam-6711	109	11	δ2	δ2	VERB
ejpam-6711	109	12	)	)	PUNCT
ejpam-6711	109	13	.	.	PUNCT
ejpam-6711	110	1	proof	proof	NOUN
ejpam-6711	110	2	.	.	PUNCT
ejpam-6711	111	1	at	at	ADP
ejpam-6711	111	2	equilibrium	equilibrium	NOUN
ejpam-6711	111	3	,	,	PUNCT
ejpam-6711	111	4	the	the	DET
ejpam-6711	111	5	time	time	NOUN
ejpam-6711	111	6	derivatives	derivative	NOUN
ejpam-6711	111	7	of	of	ADP
ejpam-6711	111	8	all	all	DET
ejpam-6711	111	9	compartments	compartment	NOUN
ejpam-6711	111	10	vanish	vanish	VERB
ejpam-6711	111	11	:	:	PUNCT
ejpam-6711	111	12	dsd	dsd	ADJ
ejpam-6711	111	13	dt	dt	NOUN
ejpam-6711	111	14	=	=	PUNCT
ejpam-6711	111	15	dsi	dsi	ADJ
ejpam-6711	111	16	dt	dt	NOUN
ejpam-6711	112	1	=	=	PUNCT
ejpam-6711	112	2	dp	dp	NOUN
ejpam-6711	112	3	dt	dt	NOUN
ejpam-6711	112	4	=	=	PRON
ejpam-6711	112	5	did	do	VERB
ejpam-6711	112	6	dt	dt	X
ejpam-6711	112	7	=	=	SYM
ejpam-6711	112	8	dtp	dtp	PROPN
ejpam-6711	112	9	dt	dt	NOUN
ejpam-6711	113	1	=	=	PUNCT
ejpam-6711	113	2	dth	dth	PROPN
ejpam-6711	113	3	dt	dt	NOUN
ejpam-6711	113	4	=	=	SYM
ejpam-6711	113	5	dr	dr	PROPN
ejpam-6711	113	6	dt	dt	PROPN
ejpam-6711	113	7	=	=	SYM
ejpam-6711	113	8	0	0	X
ejpam-6711	113	9	.	.	PUNCT
ejpam-6711	114	1	substituting	substitute	VERB
ejpam-6711	114	2	the	the	DET
ejpam-6711	114	3	dfe	dfe	PROPN
ejpam-6711	114	4	conditions	condition	NOUN
ejpam-6711	114	5	p	p	X
ejpam-6711	114	6	=	=	PUNCT
ejpam-6711	114	7	i	i	NOUN
ejpam-6711	114	8	d	d	NOUN
ejpam-6711	114	9	=	=	PRON
ejpam-6711	114	10	tp	tp	PROPN
ejpam-6711	114	11	=	=	PUNCT
ejpam-6711	114	12	th	th	X
ejpam-6711	114	13	=	=	SYM
ejpam-6711	114	14	r	r	NOUN
ejpam-6711	114	15	=	=	NOUN
ejpam-6711	114	16	0	0	NUM
ejpam-6711	114	17	into	into	ADP
ejpam-6711	114	18	system	system	NOUN
ejpam-6711	114	19	(	(	PUNCT
ejpam-6711	114	20	2.1	2.1	NUM
ejpam-6711	114	21	)	)	PUNCT
ejpam-6711	114	22	,	,	PUNCT
ejpam-6711	114	23	the	the	DET
ejpam-6711	114	24	equations	equation	NOUN
ejpam-6711	114	25	governing	govern	VERB
ejpam-6711	114	26	the	the	DET
ejpam-6711	114	27	susceptible	susceptible	ADJ
ejpam-6711	114	28	populations	population	NOUN
ejpam-6711	114	29	reduce	reduce	VERB
ejpam-6711	114	30	to	to	ADP
ejpam-6711	114	31	,	,	PUNCT
ejpam-6711	114	32	0	0	NUM
ejpam-6711	115	1	=	=	SYM
ejpam-6711	115	2	ρ∆+	ρ∆+	X
ejpam-6711	115	3	δ2s	δ2s	PROPN
ejpam-6711	115	4	∗	∗	VERB
ejpam-6711	115	5	i	i	PRON
ejpam-6711	115	6	−	−	PROPN
ejpam-6711	115	7	(	(	PUNCT
ejpam-6711	115	8	µ+	µ+	X
ejpam-6711	115	9	δ1)s	δ1)s	NOUN
ejpam-6711	115	10	∗	∗	NOUN
ejpam-6711	115	11	d	d	NOUN
ejpam-6711	115	12	,	,	PUNCT
ejpam-6711	115	13	0	0	NUM
ejpam-6711	115	14	=	=	SYM
ejpam-6711	115	15	ρ(1−∆	ρ(1−∆	NOUN
ejpam-6711	115	16	)	)	PUNCT
ejpam-6711	116	1	+	+	CCONJ
ejpam-6711	116	2	δ1s	δ1	NOUN
ejpam-6711	116	3	∗	∗	NOUN
ejpam-6711	116	4	d	d	X
ejpam-6711	116	5	−	−	PROPN
ejpam-6711	116	6	(	(	PUNCT
ejpam-6711	116	7	µ+	µ+	X
ejpam-6711	116	8	δ2)s	δ2)s	ADJ
ejpam-6711	116	9	∗	∗	X
ejpam-6711	116	10	i	i	PRON
ejpam-6711	116	11	.	.	PUNCT
ejpam-6711	117	1	this	this	DET
ejpam-6711	117	2	system	system	NOUN
ejpam-6711	117	3	can	can	AUX
ejpam-6711	117	4	be	be	AUX
ejpam-6711	117	5	expressed	express	VERB
ejpam-6711	117	6	in	in	ADP
ejpam-6711	117	7	matrix	matrix	NOUN
ejpam-6711	117	8	form	form	NOUN
ejpam-6711	117	9	as	as	ADP
ejpam-6711	117	10	,	,	PUNCT
ejpam-6711	117	11	(	(	PUNCT
ejpam-6711	117	12	−(µ+	−(µ+	NUM
ejpam-6711	117	13	δ1	δ1	NOUN
ejpam-6711	117	14	)	)	PUNCT
ejpam-6711	117	15	δ2	δ2	VERB
ejpam-6711	117	16	δ1	δ1	NOUN
ejpam-6711	117	17	−(µ+	−(µ+	PROPN
ejpam-6711	117	18	δ2	δ2	PROPN
ejpam-6711	117	19	)	)	PUNCT
ejpam-6711	117	20	)	)	PUNCT
ejpam-6711	118	1	(	(	PUNCT
ejpam-6711	118	2	s∗	s∗	PROPN
ejpam-6711	118	3	d	d	X
ejpam-6711	118	4	s∗	s∗	PROPN
ejpam-6711	118	5	i	i	PRON
ejpam-6711	118	6	)	)	PUNCT
ejpam-6711	118	7	=	=	PUNCT
ejpam-6711	119	1	(	(	PUNCT
ejpam-6711	119	2	−ρ∆	−ρ∆	X
ejpam-6711	119	3	−ρ(1−∆	−ρ(1−∆	NOUN
ejpam-6711	119	4	)	)	PUNCT
ejpam-6711	119	5	)	)	PUNCT
ejpam-6711	119	6	.	.	PUNCT
ejpam-6711	120	1	from	from	ADP
ejpam-6711	120	2	the	the	DET
ejpam-6711	120	3	first	first	ADJ
ejpam-6711	120	4	equation	equation	NOUN
ejpam-6711	120	5	,	,	PUNCT
ejpam-6711	120	6	solve	solve	VERB
ejpam-6711	120	7	for	for	ADP
ejpam-6711	120	8	s∗	s∗	PROPN
ejpam-6711	120	9	d	d	X
ejpam-6711	120	10	as	as	SCONJ
ejpam-6711	120	11	,	,	PUNCT
ejpam-6711	120	12	s∗	s∗	PROPN
ejpam-6711	120	13	d	d	PROPN
ejpam-6711	120	14	=	=	SYM
ejpam-6711	120	15	ρ∆+	ρ∆+	X
ejpam-6711	120	16	δ2s	δ2s	PROPN
ejpam-6711	120	17	∗	∗	VERB
ejpam-6711	120	18	i	i	PRON
ejpam-6711	120	19	µ+	µ+	PROPN
ejpam-6711	120	20	δ1	δ1	NOUN
ejpam-6711	120	21	.	.	PUNCT
ejpam-6711	121	1	substituting	substitute	VERB
ejpam-6711	121	2	into	into	ADP
ejpam-6711	121	3	the	the	DET
ejpam-6711	121	4	second	second	ADJ
ejpam-6711	121	5	equation	equation	NOUN
ejpam-6711	121	6	yields	yield	NOUN
ejpam-6711	121	7	,	,	PUNCT
ejpam-6711	121	8	ρ(1−∆	ρ(1−∆	ADJ
ejpam-6711	121	9	)	)	PUNCT
ejpam-6711	121	10	+	+	NUM
ejpam-6711	121	11	δ1	δ1	NOUN
ejpam-6711	121	12	(	(	PUNCT
ejpam-6711	121	13	ρ∆+	ρ∆+	X
ejpam-6711	121	14	δ2s	δ2s	PROPN
ejpam-6711	121	15	∗	∗	VERB
ejpam-6711	121	16	i	i	PRON
ejpam-6711	121	17	µ+	µ+	NOUN
ejpam-6711	121	18	δ1	δ1	NOUN
ejpam-6711	121	19	)	)	PUNCT
ejpam-6711	122	1	=	=	SYM
ejpam-6711	122	2	(	(	PUNCT
ejpam-6711	122	3	µ+	µ+	X
ejpam-6711	122	4	δ2)s	δ2)s	ADJ
ejpam-6711	122	5	∗	∗	X
ejpam-6711	122	6	i	i	PRON
ejpam-6711	122	7	,	,	PUNCT
ejpam-6711	122	8	substituting	substitute	VERB
ejpam-6711	122	9	the	the	DET
ejpam-6711	122	10	solution	solution	NOUN
ejpam-6711	122	11	for	for	ADP
ejpam-6711	122	12	s∗	s∗	PROPN
ejpam-6711	122	13	i	i	PRON
ejpam-6711	122	14	back	back	ADV
ejpam-6711	122	15	into	into	ADP
ejpam-6711	122	16	the	the	DET
ejpam-6711	122	17	equation	equation	NOUN
ejpam-6711	122	18	for	for	ADP
ejpam-6711	122	19	s∗	s∗	PROPN
ejpam-6711	122	20	d	d	NOUN
ejpam-6711	122	21	yields	yield	VERB
ejpam-6711	122	22	the	the	DET
ejpam-6711	122	23	explicit	explicit	ADJ
ejpam-6711	122	24	formulas	formula	NOUN
ejpam-6711	122	25	as	as	SCONJ
ejpam-6711	122	26	stated	state	VERB
ejpam-6711	122	27	.	.	PUNCT
ejpam-6711	123	1	the	the	DET
ejpam-6711	123	2	determinant	determinant	NOUN
ejpam-6711	123	3	of	of	ADP
ejpam-6711	123	4	the	the	DET
ejpam-6711	123	5	coefficient	coefficient	NOUN
ejpam-6711	123	6	matrix	matrix	NOUN
ejpam-6711	123	7	is	be	AUX
ejpam-6711	123	8	,	,	PUNCT
ejpam-6711	123	9	det	det	PROPN
ejpam-6711	123	10	=	=	SYM
ejpam-6711	123	11	(	(	PUNCT
ejpam-6711	123	12	µ+	µ+	X
ejpam-6711	123	13	δ1)(µ+	δ1)(µ+	PROPN
ejpam-6711	123	14	δ2)−	δ2)−	ADJ
ejpam-6711	123	15	δ1δ2	δ1δ2	NOUN
ejpam-6711	123	16	=	=	SYM
ejpam-6711	123	17	µ(µ+	µ(µ+	NUM
ejpam-6711	123	18	δ1	δ1	NOUN
ejpam-6711	123	19	+	+	CCONJ
ejpam-6711	123	20	δ2	δ2	VERB
ejpam-6711	123	21	)	)	PUNCT
ejpam-6711	123	22	>	>	X
ejpam-6711	123	23	0	0	NUM
ejpam-6711	123	24	,	,	PUNCT
ejpam-6711	123	25	ensuring	ensure	VERB
ejpam-6711	123	26	that	that	SCONJ
ejpam-6711	123	27	the	the	DET
ejpam-6711	123	28	system	system	NOUN
ejpam-6711	123	29	admits	admit	VERB
ejpam-6711	123	30	a	a	DET
ejpam-6711	123	31	unique	unique	ADJ
ejpam-6711	123	32	positive	positive	ADJ
ejpam-6711	123	33	solution	solution	NOUN
ejpam-6711	123	34	.	.	PUNCT
ejpam-6711	124	1	l.	l.	PROPN
ejpam-6711	124	2	yaseen	yaseen	PROPN
ejpam-6711	124	3	et	et	PROPN
ejpam-6711	124	4	al	al	PROPN
ejpam-6711	124	5	.	.	PUNCT
ejpam-6711	124	6	/	/	SYM
ejpam-6711	124	7	eur	eur	PROPN
ejpam-6711	124	8	.	.	PUNCT
ejpam-6711	125	1	j.	j.	PROPN
ejpam-6711	125	2	pure	pure	PROPN
ejpam-6711	125	3	appl	appl	PROPN
ejpam-6711	125	4	.	.	PROPN
ejpam-6711	125	5	math	math	PROPN
ejpam-6711	125	6	,	,	PUNCT
ejpam-6711	125	7	18	18	NUM
ejpam-6711	125	8	(	(	PUNCT
ejpam-6711	125	9	4	4	NUM
ejpam-6711	125	10	)	)	PUNCT
ejpam-6711	125	11	(	(	PUNCT
ejpam-6711	125	12	2025	2025	NUM
ejpam-6711	125	13	)	)	PUNCT
ejpam-6711	125	14	,	,	PUNCT
ejpam-6711	125	15	6711	6711	NUM
ejpam-6711	125	16	8	8	NUM
ejpam-6711	125	17	of	of	ADP
ejpam-6711	125	18	29	29	NUM
ejpam-6711	125	19	5	5	NUM
ejpam-6711	125	20	.	.	PUNCT
ejpam-6711	125	21	basic	basic	ADJ
ejpam-6711	125	22	reproduction	reproduction	NOUN
ejpam-6711	125	23	number	number	NOUN
ejpam-6711	125	24	the	the	DET
ejpam-6711	125	25	basic	basic	ADJ
ejpam-6711	125	26	reproduction	reproduction	NOUN
ejpam-6711	125	27	number	number	NOUN
ejpam-6711	125	28	r0	r0	NOUN
ejpam-6711	125	29	represents	represent	VERB
ejpam-6711	125	30	the	the	DET
ejpam-6711	125	31	expected	expect	VERB
ejpam-6711	125	32	number	number	NOUN
ejpam-6711	125	33	of	of	ADP
ejpam-6711	125	34	secondary	secondary	ADJ
ejpam-6711	125	35	cases	case	NOUN
ejpam-6711	125	36	produced	produce	VERB
ejpam-6711	125	37	by	by	ADP
ejpam-6711	125	38	one	one	NUM
ejpam-6711	125	39	infected	infect	VERB
ejpam-6711	125	40	individual	individual	NOUN
ejpam-6711	125	41	in	in	ADP
ejpam-6711	125	42	a	a	DET
ejpam-6711	125	43	fully	fully	ADV
ejpam-6711	125	44	susceptible	susceptible	ADJ
ejpam-6711	125	45	population	population	NOUN
ejpam-6711	125	46	.	.	PUNCT
ejpam-6711	126	1	it	it	PRON
ejpam-6711	126	2	serves	serve	VERB
ejpam-6711	126	3	as	as	ADP
ejpam-6711	126	4	a	a	DET
ejpam-6711	126	5	critical	critical	ADJ
ejpam-6711	126	6	threshold	threshold	NOUN
ejpam-6711	126	7	for	for	ADP
ejpam-6711	126	8	epidemic	epidemic	NOUN
ejpam-6711	126	9	control	control	NOUN
ejpam-6711	126	10	:	:	PUNCT
ejpam-6711	126	11	•	•	NUM
ejpam-6711	126	12	r0	r0	NOUN
ejpam-6711	126	13	<	<	NOUN
ejpam-6711	126	14	1	1	NUM
ejpam-6711	126	15	:	:	PUNCT
ejpam-6711	126	16	infection	infection	NOUN
ejpam-6711	126	17	decrease	decrease	NOUN
ejpam-6711	126	18	.	.	PUNCT
ejpam-6711	127	1	•	•	NUM
ejpam-6711	127	2	r0	r0	NOUN
ejpam-6711	127	3	>	>	X
ejpam-6711	128	1	1	1	NUM
ejpam-6711	128	2	:	:	PUNCT
ejpam-6711	128	3	infection	infection	NOUN
ejpam-6711	128	4	increase	increase	NOUN
ejpam-6711	128	5	.	.	PUNCT
ejpam-6711	129	1	theorem	theorem	NOUN
ejpam-6711	129	2	3	3	NUM
ejpam-6711	129	3	.	.	PUNCT
ejpam-6711	129	4	using	use	VERB
ejpam-6711	129	5	the	the	DET
ejpam-6711	129	6	next	next	ADJ
ejpam-6711	129	7	generation	generation	NOUN
ejpam-6711	129	8	matrix	matrix	NOUN
ejpam-6711	129	9	method	method	NOUN
ejpam-6711	130	1	[	[	X
ejpam-6711	130	2	26	26	NUM
ejpam-6711	130	3	]	]	PUNCT
ejpam-6711	130	4	,	,	PUNCT
ejpam-6711	130	5	the	the	DET
ejpam-6711	130	6	basic	basic	ADJ
ejpam-6711	130	7	reproduction	reproduction	NOUN
ejpam-6711	130	8	number	number	NOUN
ejpam-6711	130	9	for	for	ADP
ejpam-6711	130	10	system	system	NOUN
ejpam-6711	130	11	(	(	PUNCT
ejpam-6711	130	12	2.1	2.1	NUM
ejpam-6711	130	13	)	)	PUNCT
ejpam-6711	130	14	is	be	AUX
ejpam-6711	130	15	given	give	VERB
ejpam-6711	130	16	by	by	ADP
ejpam-6711	130	17	:	:	PUNCT
ejpam-6711	130	18	r0	r0	NOUN
ejpam-6711	130	19	=	=	SYM
ejpam-6711	130	20	β1	β1	PROPN
ejpam-6711	131	1	[	[	X
ejpam-6711	131	2	(	(	PUNCT
ejpam-6711	131	3	(	(	PUNCT
ejpam-6711	131	4	1−∆)η	1−∆)η	NUM
ejpam-6711	131	5	+	+	NOUN
ejpam-6711	131	6	∆)µ+	∆)µ+	NOUN
ejpam-6711	131	7	ηδ1	ηδ1	VERB
ejpam-6711	131	8	+	+	NOUN
ejpam-6711	131	9	δ2	δ2	VERB
ejpam-6711	131	10	]	]	PUNCT
ejpam-6711	131	11	(	(	PUNCT
ejpam-6711	131	12	µ+	µ+	X
ejpam-6711	131	13	δ1	δ1	NOUN
ejpam-6711	131	14	+	+	CCONJ
ejpam-6711	131	15	δ2)(φ+	δ2)(φ+	NOUN
ejpam-6711	131	16	µ	µ	NUM
ejpam-6711	131	17	)	)	PUNCT
ejpam-6711	131	18	.	.	PUNCT
ejpam-6711	132	1	(	(	PUNCT
ejpam-6711	132	2	5.8	5.8	X
ejpam-6711	132	3	)	)	PUNCT
ejpam-6711	132	4	proof	proof	NOUN
ejpam-6711	132	5	.	.	PUNCT
ejpam-6711	133	1	consider	consider	VERB
ejpam-6711	133	2	the	the	DET
ejpam-6711	133	3	infected	infected	ADJ
ejpam-6711	133	4	compartments	compartment	NOUN
ejpam-6711	133	5	x	x	PUNCT
ejpam-6711	133	6	=	=	PUNCT
ejpam-6711	133	7	(	(	PUNCT
ejpam-6711	133	8	p	p	X
ejpam-6711	133	9	,	,	PUNCT
ejpam-6711	133	10	i	i	PROPN
ejpam-6711	133	11	d	d	PROPN
ejpam-6711	133	12	,	,	PUNCT
ejpam-6711	133	13	tp	tp	X
ejpam-6711	133	14	,	,	PUNCT
ejpam-6711	133	15	th	th	X
ejpam-6711	133	16	,	,	PUNCT
ejpam-6711	133	17	r)t	r)t	VERB
ejpam-6711	133	18	with	with	ADP
ejpam-6711	133	19	:	:	PUNCT
ejpam-6711	133	20	f	f	X
ejpam-6711	133	21	=	=	PUNCT
ejpam-6711	133	22	new	new	ADJ
ejpam-6711	133	23	infection	infection	NOUN
ejpam-6711	133	24	matrix	matrix	NOUN
ejpam-6711	133	25	,	,	PUNCT
ejpam-6711	133	26	v	v	NOUN
ejpam-6711	133	27	=	=	SYM
ejpam-6711	133	28	transition	transition	NOUN
ejpam-6711	133	29	matrix	matrix	NOUN
ejpam-6711	133	30	,	,	PUNCT
ejpam-6711	133	31	the	the	DET
ejpam-6711	133	32	jacobian	jacobian	ADJ
ejpam-6711	133	33	matrices	matrix	NOUN
ejpam-6711	133	34	evaluated	evaluate	VERB
ejpam-6711	133	35	at	at	ADP
ejpam-6711	133	36	dfe	dfe	PROPN
ejpam-6711	133	37	e0	e0	PROPN
ejpam-6711	133	38	are	be	AUX
ejpam-6711	133	39	:	:	PUNCT
ejpam-6711	133	40	f	f	X
ejpam-6711	133	41	=	=	PUNCT
ejpam-6711	133	42			PROPN
ejpam-6711	133	43	β1[((1−∆)η+∆)µ+ηδ1+δ2	β1[((1−∆)η+∆)µ+ηδ1+δ2	NOUN
ejpam-6711	133	44	]	]	PUNCT
ejpam-6711	133	45	µ+δ1+δ2	µ+δ1+δ2	PROPN
ejpam-6711	133	46	0	0	NUM
ejpam-6711	133	47	0	0	NUM
ejpam-6711	133	48	0	0	NUM
ejpam-6711	133	49	0	0	NUM
ejpam-6711	133	50	0	0	NUM
ejpam-6711	133	51	0	0	NUM
ejpam-6711	133	52	0	0	NUM
ejpam-6711	133	53	0	0	NUM
ejpam-6711	133	54	0	0	NUM
ejpam-6711	133	55	0	0	NUM
ejpam-6711	133	56	0	0	NUM
ejpam-6711	133	57	0	0	NUM
ejpam-6711	133	58	0	0	NUM
ejpam-6711	133	59	0	0	NUM
ejpam-6711	133	60	0	0	NUM
ejpam-6711	133	61	0	0	NUM
ejpam-6711	133	62	0	0	NUM
ejpam-6711	133	63	0	0	NUM
ejpam-6711	133	64	0	0	NUM
ejpam-6711	133	65	0	0	NUM
ejpam-6711	133	66	0	0	NUM
ejpam-6711	133	67	0	0	NUM
ejpam-6711	133	68	0	0	NUM
ejpam-6711	133	69	0	0	NUM
ejpam-6711	133	70			NOUN
ejpam-6711	133	71	,	,	PUNCT
ejpam-6711	133	72	(	(	PUNCT
ejpam-6711	133	73	5.9	5.9	NUM
ejpam-6711	133	74	)	)	PUNCT
ejpam-6711	133	75	v	v	NOUN
ejpam-6711	133	76	=	=	NOUN
ejpam-6711	133	77			NOUN
ejpam-6711	133	78	φ+	φ+	X
ejpam-6711	133	79	µ	µ	X
ejpam-6711	133	80	0	0	NUM
ejpam-6711	133	81	0	0	NUM
ejpam-6711	133	82	0	0	NUM
ejpam-6711	133	83	0	0	NUM
ejpam-6711	134	1	−φ	−φ	NOUN
ejpam-6711	134	2	σ	σ	NOUN
ejpam-6711	134	3	+	+	CCONJ
ejpam-6711	134	4	µ+	µ+	PROPN
ejpam-6711	134	5	ω1	ω1	PROPN
ejpam-6711	134	6	+	+	CCONJ
ejpam-6711	134	7	ϕ	ϕ	PROPN
ejpam-6711	134	8	−α3	−α3	PROPN
ejpam-6711	134	9	0	0	PUNCT
ejpam-6711	135	1	−α2	−α2	NOUN
ejpam-6711	135	2	0	0	NUM
ejpam-6711	135	3	−(1−	−(1−	NOUN
ejpam-6711	135	4	γ)σ	γ)σ	NOUN
ejpam-6711	135	5	α3	α3	PROPN
ejpam-6711	135	6	+	+	CCONJ
ejpam-6711	135	7	λ1	λ1	ADJ
ejpam-6711	135	8	+	+	CCONJ
ejpam-6711	135	9	ϱ1	ϱ1	NOUN
ejpam-6711	135	10	+	+	CCONJ
ejpam-6711	135	11	µ	µ	X
ejpam-6711	135	12	−λ1	−λ1	NOUN
ejpam-6711	135	13	0	0	NUM
ejpam-6711	135	14	0	0	NUM
ejpam-6711	135	15	−γσ	−γσ	NOUN
ejpam-6711	135	16	−λ1	−λ1	PROPN
ejpam-6711	136	1	λ1	λ1	ADJ
ejpam-6711	136	2	+	+	CCONJ
ejpam-6711	136	3	ϱ2	ϱ2	PROPN
ejpam-6711	136	4	+	+	CCONJ
ejpam-6711	136	5	µ	µ	X
ejpam-6711	136	6	0	0	NUM
ejpam-6711	136	7	0	0	NUM
ejpam-6711	137	1	−ϕ	−ϕ	NOUN
ejpam-6711	137	2	−ϱ1	−ϱ1	NOUN
ejpam-6711	137	3	−ϱ2	−ϱ2	PROPN
ejpam-6711	137	4	α2	α2	PROPN
ejpam-6711	137	5	+	+	CCONJ
ejpam-6711	137	6	µ	µ	ADJ
ejpam-6711	137	7			NOUN
ejpam-6711	137	8	.	.	PUNCT
ejpam-6711	138	1	(	(	PUNCT
ejpam-6711	138	2	5.10	5.10	NUM
ejpam-6711	138	3	)	)	PUNCT
ejpam-6711	138	4	the	the	DET
ejpam-6711	138	5	basic	basic	ADJ
ejpam-6711	138	6	reproduction	reproduction	NOUN
ejpam-6711	138	7	number	number	NOUN
ejpam-6711	138	8	is	be	AUX
ejpam-6711	138	9	the	the	DET
ejpam-6711	138	10	spectral	spectral	ADJ
ejpam-6711	138	11	radius	radius	NOUN
ejpam-6711	138	12	of	of	ADP
ejpam-6711	138	13	fv−1	fv−1	NOUN
ejpam-6711	138	14	:	:	PUNCT
ejpam-6711	138	15	r0	r0	NOUN
ejpam-6711	138	16	=	=	SYM
ejpam-6711	138	17	ρ(fv−1	ρ(fv−1	X
ejpam-6711	138	18	)	)	PUNCT
ejpam-6711	138	19	=	=	PUNCT
ejpam-6711	139	1	β1[((1−∆)η	β1[((1−∆)η	NOUN
ejpam-6711	140	1	+	+	ADV
ejpam-6711	140	2	∆)µ+	∆)µ+	ADJ
ejpam-6711	140	3	ηδ1	ηδ1	VERB
ejpam-6711	140	4	+	+	NOUN
ejpam-6711	140	5	δ2	δ2	VERB
ejpam-6711	140	6	]	]	PUNCT
ejpam-6711	140	7	(	(	PUNCT
ejpam-6711	140	8	µ+	µ+	X
ejpam-6711	140	9	δ1	δ1	NOUN
ejpam-6711	140	10	+	+	CCONJ
ejpam-6711	140	11	δ2)(φ+	δ2)(φ+	NOUN
ejpam-6711	140	12	µ	µ	NUM
ejpam-6711	140	13	)	)	PUNCT
ejpam-6711	140	14	.	.	PUNCT
ejpam-6711	141	1	(	(	PUNCT
ejpam-6711	141	2	5.11	5.11	NUM
ejpam-6711	141	3	)	)	PUNCT
ejpam-6711	141	4	this	this	PRON
ejpam-6711	141	5	follows	follow	VERB
ejpam-6711	141	6	from	from	ADP
ejpam-6711	141	7	block	block	NOUN
ejpam-6711	141	8	matrix	matrix	NOUN
ejpam-6711	141	9	inversion	inversion	NOUN
ejpam-6711	141	10	properties	property	NOUN
ejpam-6711	141	11	,	,	PUNCT
ejpam-6711	141	12	as	as	SCONJ
ejpam-6711	141	13	f	f	PROPN
ejpam-6711	141	14	has	have	AUX
ejpam-6711	141	15	rank	rank	NOUN
ejpam-6711	141	16	1	1	NUM
ejpam-6711	141	17	and	and	CCONJ
ejpam-6711	141	18	v	v	NOUN
ejpam-6711	141	19	is	be	AUX
ejpam-6711	141	20	upper	upper	ADJ
ejpam-6711	141	21	triangular	triangular	NOUN
ejpam-6711	141	22	.	.	PUNCT
ejpam-6711	142	1	l.	l.	PROPN
ejpam-6711	142	2	yaseen	yaseen	PROPN
ejpam-6711	142	3	et	et	PROPN
ejpam-6711	142	4	al	al	PROPN
ejpam-6711	142	5	.	.	PUNCT
ejpam-6711	142	6	/	/	SYM
ejpam-6711	142	7	eur	eur	PROPN
ejpam-6711	142	8	.	.	PUNCT
ejpam-6711	143	1	j.	j.	PROPN
ejpam-6711	143	2	pure	pure	PROPN
ejpam-6711	143	3	appl	appl	PROPN
ejpam-6711	143	4	.	.	PROPN
ejpam-6711	143	5	math	math	PROPN
ejpam-6711	143	6	,	,	PUNCT
ejpam-6711	143	7	18	18	NUM
ejpam-6711	143	8	(	(	PUNCT
ejpam-6711	143	9	4	4	NUM
ejpam-6711	143	10	)	)	PUNCT
ejpam-6711	143	11	(	(	PUNCT
ejpam-6711	143	12	2025	2025	NUM
ejpam-6711	143	13	)	)	PUNCT
ejpam-6711	143	14	,	,	PUNCT
ejpam-6711	143	15	6711	6711	NUM
ejpam-6711	143	16	9	9	NUM
ejpam-6711	143	17	of	of	ADP
ejpam-6711	143	18	29	29	NUM
ejpam-6711	143	19	0.2	0.2	NUM
ejpam-6711	143	20	0.4	0.4	NUM
ejpam-6711	143	21	0.6	0.6	NUM
ejpam-6711	144	1	0.8	0.8	NUM
ejpam-6711	144	2	1.0	1.0	NUM
ejpam-6711	144	3	1	1	NUM
ejpam-6711	144	4	0.2	0.2	NUM
ejpam-6711	144	5	0.4	0.4	NUM
ejpam-6711	144	6	0.6	0.6	NUM
ejpam-6711	144	7	0.8	0.8	NUM
ejpam-6711	144	8	1.0	1.0	NUM
ejpam-6711	144	9	1.50	1.50	NUM
ejpam-6711	144	10	3.00	3.00	NUM
ejpam-6711	144	11	4.50	4.50	NUM
ejpam-6711	144	12	6.00	6.00	NUM
ejpam-6711	144	13	7.50	7.50	NUM
ejpam-6711	144	14	0	0	NUM
ejpam-6711	144	15	1	1	NUM
ejpam-6711	144	16	2	2	NUM
ejpam-6711	144	17	3	3	NUM
ejpam-6711	144	18	4	4	NUM
ejpam-6711	144	19	5	5	NUM
ejpam-6711	144	20	6	6	NUM
ejpam-6711	144	21	7	7	NUM
ejpam-6711	144	22	8	8	NUM
ejpam-6711	144	23	9	9	NUM
ejpam-6711	144	24	0	0	NUM
ejpam-6711	144	25	(	(	PUNCT
ejpam-6711	144	26	a	a	NOUN
ejpam-6711	144	27	)	)	PUNCT
ejpam-6711	144	28	0.02	0.02	NUM
ejpam-6711	144	29	0.04	0.04	NUM
ejpam-6711	144	30	0.06	0.06	NUM
ejpam-6711	144	31	0.08	0.08	NUM
ejpam-6711	144	32	0.10	0.10	NUM
ejpam-6711	144	33	1	1	NUM
ejpam-6711	144	34	0.02	0.02	NUM
ejpam-6711	144	35	0.04	0.04	NUM
ejpam-6711	144	36	0.06	0.06	NUM
ejpam-6711	144	37	0.08	0.08	NUM
ejpam-6711	144	38	0.10	0.10	NUM
ejpam-6711	144	39	2	2	NUM
ejpam-6711	144	40	0.75	0.75	NUM
ejpam-6711	144	41	1.00	1.00	NUM
ejpam-6711	144	42	1.25	1.25	NUM
ejpam-6711	144	43	1.50	1.50	NUM
ejpam-6711	144	44	1.7	1.7	NUM
ejpam-6711	144	45	5	5	NUM
ejpam-6711	144	46	2.0	2.0	NUM
ejpam-6711	144	47	02	02	NUM
ejpam-6711	144	48	.	.	PUNCT
ejpam-6711	145	1	252	252	NUM
ejpam-6711	145	2	.	.	PUNCT
ejpam-6711	146	1	50	50	NUM
ejpam-6711	146	2	0.6	0.6	NUM
ejpam-6711	146	3	0.9	0.9	NUM
ejpam-6711	146	4	1.2	1.2	NUM
ejpam-6711	146	5	1.5	1.5	NUM
ejpam-6711	146	6	1.8	1.8	NUM
ejpam-6711	146	7	2.1	2.1	NUM
ejpam-6711	146	8	2.4	2.4	NUM
ejpam-6711	146	9	0	0	NUM
ejpam-6711	146	10	(	(	PUNCT
ejpam-6711	146	11	b	b	NOUN
ejpam-6711	146	12	)	)	PUNCT
ejpam-6711	146	13	0.02	0.02	NUM
ejpam-6711	146	14	0.04	0.04	NUM
ejpam-6711	146	15	0.06	0.06	NUM
ejpam-6711	146	16	0.08	0.08	NUM
ejpam-6711	146	17	0.10	0.10	NUM
ejpam-6711	146	18	1	1	NUM
ejpam-6711	146	19	0.2	0.2	NUM
ejpam-6711	146	20	0.4	0.4	NUM
ejpam-6711	146	21	0.6	0.6	NUM
ejpam-6711	146	22	0.8	0.8	NUM
ejpam-6711	146	23	1.0	1.0	NUM
ejpam-6711	146	24	1.00	1.00	NUM
ejpam-6711	146	25	1.25	1.25	NUM
ejpam-6711	146	26	1.50	1.50	NUM
ejpam-6711	146	27	1.75	1.75	NUM
ejpam-6711	146	28	2.00	2.00	NUM
ejpam-6711	146	29	2.25	2.25	NUM
ejpam-6711	146	30	2.50	2.50	NUM
ejpam-6711	146	31	0.9	0.9	NUM
ejpam-6711	146	32	1.1	1.1	NUM
ejpam-6711	146	33	1.3	1.3	NUM
ejpam-6711	146	34	1.5	1.5	NUM
ejpam-6711	146	35	1.7	1.7	NUM
ejpam-6711	146	36	1.9	1.9	NUM
ejpam-6711	146	37	2.1	2.1	NUM
ejpam-6711	146	38	2.3	2.3	NUM
ejpam-6711	146	39	2.5	2.5	NUM
ejpam-6711	146	40	2.7	2.7	NUM
ejpam-6711	146	41	0	0	NUM
ejpam-6711	146	42	(	(	PUNCT
ejpam-6711	146	43	c	c	NOUN
ejpam-6711	146	44	)	)	PUNCT
ejpam-6711	146	45	0.02	0.02	NUM
ejpam-6711	146	46	0.04	0.04	NUM
ejpam-6711	146	47	0.06	0.06	NUM
ejpam-6711	146	48	0.08	0.08	NUM
ejpam-6711	146	49	0.10	0.10	NUM
ejpam-6711	146	50	2	2	NUM
ejpam-6711	146	51	0.2	0.2	NUM
ejpam-6711	146	52	0.4	0.4	NUM
ejpam-6711	146	53	0.6	0.6	NUM
ejpam-6711	146	54	0.8	0.8	NUM
ejpam-6711	146	55	1.0	1.0	NUM
ejpam-6711	146	56	0.80	0.80	NUM
ejpam-6711	146	57	1.20	1.20	NUM
ejpam-6711	146	58	1.60	1.60	NUM
ejpam-6711	146	59	2.00	2.00	NUM
ejpam-6711	146	60	2.40	2.40	NUM
ejpam-6711	146	61	0.15	0.15	NUM
ejpam-6711	146	62	0.45	0.45	NUM
ejpam-6711	146	63	0.75	0.75	NUM
ejpam-6711	146	64	1.05	1.05	NUM
ejpam-6711	146	65	1.35	1.35	NUM
ejpam-6711	146	66	1.65	1.65	NUM
ejpam-6711	146	67	1.95	1.95	NUM
ejpam-6711	146	68	2.25	2.25	NUM
ejpam-6711	146	69	2.55	2.55	NUM
ejpam-6711	146	70	2.85	2.85	NUM
ejpam-6711	146	71	0	0	NUM
ejpam-6711	146	72	(	(	PUNCT
ejpam-6711	146	73	d	d	NOUN
ejpam-6711	146	74	)	)	PUNCT
ejpam-6711	146	75	0.2	0.2	NUM
ejpam-6711	146	76	0.4	0.4	NUM
ejpam-6711	146	77	0.6	0.6	NUM
ejpam-6711	146	78	0.8	0.8	NUM
ejpam-6711	146	79	1.0	1.0	NUM
ejpam-6711	146	80	0.2	0.2	NUM
ejpam-6711	146	81	0.4	0.4	NUM
ejpam-6711	146	82	0.6	0.6	NUM
ejpam-6711	146	83	0.8	0.8	NUM
ejpam-6711	146	84	1.0	1.0	NUM
ejpam-6711	146	85	1.40	1.40	NUM
ejpam-6711	146	86	1.60	1.60	NUM
ejpam-6711	146	87	1.80	1.80	NUM
ejpam-6711	146	88	2.00	2.00	NUM
ejpam-6711	146	89	2.20	2.20	NUM
ejpam-6711	146	90	2.40	2.40	NUM
ejpam-6711	146	91	2.60	2.60	NUM
ejpam-6711	146	92	1.20	1.20	NUM
ejpam-6711	146	93	1.44	1.44	NUM
ejpam-6711	146	94	1.68	1.68	NUM
ejpam-6711	146	95	1.92	1.92	NUM
ejpam-6711	146	96	2.16	2.16	NUM
ejpam-6711	146	97	2.40	2.40	NUM
ejpam-6711	146	98	2.64	2.64	NUM
ejpam-6711	146	99	0	0	NUM
ejpam-6711	146	100	(	(	PUNCT
ejpam-6711	146	101	e	e	NOUN
ejpam-6711	146	102	)	)	PUNCT
ejpam-6711	146	103	0.2	0.2	NUM
ejpam-6711	146	104	0.4	0.4	NUM
ejpam-6711	146	105	0.6	0.6	NUM
ejpam-6711	146	106	0.8	0.8	NUM
ejpam-6711	146	107	1.0	1.0	NUM
ejpam-6711	146	108	0.2	0.2	NUM
ejpam-6711	146	109	0.4	0.4	NUM
ejpam-6711	146	110	0.6	0.6	NUM
ejpam-6711	146	111	0.8	0.8	NUM
ejpam-6711	146	112	1.0	1.0	NUM
ejpam-6711	146	113	0.25	0.25	NUM
ejpam-6711	146	114	0.50	0.50	NUM
ejpam-6711	146	115	0.75	0.75	NUM
ejpam-6711	146	116	1.00	1.00	NUM
ejpam-6711	146	117	1.25	1.25	NUM
ejpam-6711	146	118	1.50	1.50	NUM
ejpam-6711	146	119	0.00	0.00	NUM
ejpam-6711	146	120	0.24	0.24	NUM
ejpam-6711	146	121	0.48	0.48	NUM
ejpam-6711	146	122	0.72	0.72	NUM
ejpam-6711	146	123	0.96	0.96	NUM
ejpam-6711	146	124	1.20	1.20	NUM
ejpam-6711	146	125	1.44	1.44	NUM
ejpam-6711	146	126	1.68	1.68	NUM
ejpam-6711	146	127	0	0	NUM
ejpam-6711	146	128	(	(	PUNCT
ejpam-6711	146	129	f	f	X
ejpam-6711	146	130	)	)	PUNCT
ejpam-6711	146	131	figure	figure	NOUN
ejpam-6711	146	132	2	2	NUM
ejpam-6711	146	133	:	:	PUNCT
ejpam-6711	147	1	contour	contour	NOUN
ejpam-6711	147	2	plots	plot	NOUN
ejpam-6711	147	3	of	of	ADP
ejpam-6711	147	4	r0	r0	NOUN
ejpam-6711	147	5	for	for	ADP
ejpam-6711	147	6	different	different	ADJ
ejpam-6711	147	7	pairs	pair	NOUN
ejpam-6711	147	8	of	of	ADP
ejpam-6711	147	9	model	model	NOUN
ejpam-6711	147	10	sensitive	sensitive	ADJ
ejpam-6711	147	11	parameters	parameter	NOUN
ejpam-6711	147	12	l.	l.	PROPN
ejpam-6711	147	13	yaseen	yaseen	PROPN
ejpam-6711	147	14	et	et	PROPN
ejpam-6711	147	15	al	al	PROPN
ejpam-6711	147	16	.	.	PUNCT
ejpam-6711	147	17	/	/	SYM
ejpam-6711	147	18	eur	eur	PROPN
ejpam-6711	147	19	.	.	PUNCT
ejpam-6711	148	1	j.	j.	PROPN
ejpam-6711	148	2	pure	pure	PROPN
ejpam-6711	148	3	appl	appl	PROPN
ejpam-6711	148	4	.	.	PROPN
ejpam-6711	148	5	math	math	PROPN
ejpam-6711	148	6	,	,	PUNCT
ejpam-6711	148	7	18	18	NUM
ejpam-6711	148	8	(	(	PUNCT
ejpam-6711	148	9	4	4	NUM
ejpam-6711	148	10	)	)	PUNCT
ejpam-6711	148	11	(	(	PUNCT
ejpam-6711	148	12	2025	2025	NUM
ejpam-6711	148	13	)	)	PUNCT
ejpam-6711	148	14	,	,	PUNCT
ejpam-6711	148	15	6711	6711	NUM
ejpam-6711	148	16	10	10	NUM
ejpam-6711	148	17	of	of	ADP
ejpam-6711	148	18	29	29	NUM
ejpam-6711	148	19	the	the	DET
ejpam-6711	148	20	six	six	NUM
ejpam-6711	148	21	subfigures	subfigure	NOUN
ejpam-6711	148	22	presented	present	VERB
ejpam-6711	148	23	in	in	ADP
ejpam-6711	148	24	figure	figure	NOUN
ejpam-6711	148	25	2	2	NUM
ejpam-6711	148	26	provide	provide	VERB
ejpam-6711	148	27	a	a	DET
ejpam-6711	148	28	comprehensive	comprehensive	ADJ
ejpam-6711	148	29	visualization	visualization	NOUN
ejpam-6711	148	30	of	of	ADP
ejpam-6711	148	31	how	how	SCONJ
ejpam-6711	148	32	the	the	DET
ejpam-6711	148	33	basic	basic	ADJ
ejpam-6711	148	34	reproduction	reproduction	NOUN
ejpam-6711	148	35	number	number	NOUN
ejpam-6711	148	36	,	,	PUNCT
ejpam-6711	148	37	r0	r0	NOUN
ejpam-6711	148	38	,	,	PUNCT
ejpam-6711	148	39	responds	respond	VERB
ejpam-6711	148	40	to	to	ADP
ejpam-6711	148	41	simultaneous	simultaneous	ADJ
ejpam-6711	148	42	changes	change	NOUN
ejpam-6711	148	43	in	in	ADP
ejpam-6711	148	44	key	key	ADJ
ejpam-6711	148	45	pairs	pair	NOUN
ejpam-6711	148	46	of	of	ADP
ejpam-6711	148	47	epidemiological	epidemiological	ADJ
ejpam-6711	148	48	parameters	parameter	NOUN
ejpam-6711	148	49	.	.	PUNCT
ejpam-6711	149	1	each	each	DET
ejpam-6711	149	2	contour	contour	NOUN
ejpam-6711	149	3	plot	plot	NOUN
ejpam-6711	149	4	displays	display	VERB
ejpam-6711	149	5	the	the	DET
ejpam-6711	149	6	combined	combined	ADJ
ejpam-6711	149	7	effect	effect	NOUN
ejpam-6711	149	8	of	of	ADP
ejpam-6711	149	9	two	two	NUM
ejpam-6711	149	10	parameters	parameter	NOUN
ejpam-6711	149	11	on	on	ADP
ejpam-6711	149	12	r0	r0	NOUN
ejpam-6711	149	13	,	,	PUNCT
ejpam-6711	149	14	with	with	ADP
ejpam-6711	149	15	color	color	NOUN
ejpam-6711	149	16	gradients	gradient	NOUN
ejpam-6711	149	17	indicating	indicate	VERB
ejpam-6711	149	18	the	the	DET
ejpam-6711	149	19	magnitude	magnitude	NOUN
ejpam-6711	149	20	of	of	ADP
ejpam-6711	149	21	r0	r0	NOUN
ejpam-6711	149	22	across	across	ADP
ejpam-6711	149	23	the	the	DET
ejpam-6711	149	24	parameter	parameter	NOUN
ejpam-6711	149	25	space	space	NOUN
ejpam-6711	149	26	.	.	PUNCT
ejpam-6711	150	1	in	in	ADP
ejpam-6711	150	2	general	general	ADJ
ejpam-6711	150	3	,	,	PUNCT
ejpam-6711	150	4	the	the	DET
ejpam-6711	150	5	lighter	light	ADJ
ejpam-6711	150	6	regions	region	NOUN
ejpam-6711	150	7	correspond	correspond	VERB
ejpam-6711	150	8	to	to	ADP
ejpam-6711	150	9	higher	high	ADJ
ejpam-6711	150	10	values	value	NOUN
ejpam-6711	150	11	of	of	ADP
ejpam-6711	150	12	r0	r0	NOUN
ejpam-6711	150	13	,	,	PUNCT
ejpam-6711	150	14	signifying	signify	VERB
ejpam-6711	150	15	increased	increase	VERB
ejpam-6711	150	16	potential	potential	NOUN
ejpam-6711	150	17	for	for	ADP
ejpam-6711	150	18	disease	disease	NOUN
ejpam-6711	150	19	transmission	transmission	NOUN
ejpam-6711	150	20	,	,	PUNCT
ejpam-6711	150	21	while	while	SCONJ
ejpam-6711	150	22	darker	dark	ADJ
ejpam-6711	150	23	regions	region	NOUN
ejpam-6711	150	24	indicate	indicate	VERB
ejpam-6711	150	25	lower	low	ADJ
ejpam-6711	150	26	values	value	NOUN
ejpam-6711	150	27	,	,	PUNCT
ejpam-6711	150	28	suggesting	suggest	VERB
ejpam-6711	150	29	more	more	ADV
ejpam-6711	150	30	effective	effective	ADJ
ejpam-6711	150	31	control	control	NOUN
ejpam-6711	150	32	.	.	PUNCT
ejpam-6711	151	1	for	for	ADP
ejpam-6711	151	2	instance	instance	NOUN
ejpam-6711	151	3	,	,	PUNCT
ejpam-6711	151	4	in	in	ADP
ejpam-6711	151	5	subfigure	subfigure	NOUN
ejpam-6711	151	6	(	(	PUNCT
ejpam-6711	151	7	2a	2a	NUM
ejpam-6711	151	8	)	)	PUNCT
ejpam-6711	151	9	,	,	PUNCT
ejpam-6711	151	10	increasing	increase	VERB
ejpam-6711	151	11	either	either	CCONJ
ejpam-6711	151	12	β1	β1	PROPN
ejpam-6711	151	13	or	or	CCONJ
ejpam-6711	151	14	η	η	PROPN
ejpam-6711	151	15	leads	lead	VERB
ejpam-6711	151	16	to	to	ADP
ejpam-6711	151	17	a	a	DET
ejpam-6711	151	18	marked	mark	VERB
ejpam-6711	151	19	rise	rise	NOUN
ejpam-6711	151	20	in	in	ADP
ejpam-6711	151	21	r0	r0	NOUN
ejpam-6711	151	22	,	,	PUNCT
ejpam-6711	151	23	highlighting	highlight	VERB
ejpam-6711	151	24	the	the	DET
ejpam-6711	151	25	importance	importance	NOUN
ejpam-6711	151	26	of	of	ADP
ejpam-6711	151	27	controlling	control	VERB
ejpam-6711	151	28	both	both	PRON
ejpam-6711	151	29	transmission	transmission	NOUN
ejpam-6711	151	30	rate	rate	NOUN
ejpam-6711	151	31	and	and	CCONJ
ejpam-6711	151	32	relative	relative	ADJ
ejpam-6711	151	33	infectivity	infectivity	NOUN
ejpam-6711	151	34	.	.	PUNCT
ejpam-6711	152	1	the	the	DET
ejpam-6711	152	2	subfigures	subfigure	NOUN
ejpam-6711	152	3	(	(	PUNCT
ejpam-6711	152	4	2b	2b	NUM
ejpam-6711	152	5	)	)	PUNCT
ejpam-6711	152	6	and	and	CCONJ
ejpam-6711	152	7	(	(	PUNCT
ejpam-6711	152	8	2c	2c	NOUN
ejpam-6711	152	9	)	)	PUNCT
ejpam-6711	152	10	show	show	VERB
ejpam-6711	152	11	that	that	SCONJ
ejpam-6711	152	12	higher	high	ADJ
ejpam-6711	152	13	values	value	NOUN
ejpam-6711	152	14	of	of	ADP
ejpam-6711	152	15	δ1	δ1	NOUN
ejpam-6711	152	16	and	and	CCONJ
ejpam-6711	152	17	φ	φ	PROPN
ejpam-6711	152	18	or	or	CCONJ
ejpam-6711	152	19	η	η	PROPN
ejpam-6711	152	20	tend	tend	VERB
ejpam-6711	152	21	to	to	PART
ejpam-6711	152	22	reduce	reduce	VERB
ejpam-6711	152	23	r0	r0	NOUN
ejpam-6711	152	24	,	,	PUNCT
ejpam-6711	152	25	demonstrating	demonstrate	VERB
ejpam-6711	152	26	the	the	DET
ejpam-6711	152	27	benefit	benefit	NOUN
ejpam-6711	152	28	of	of	ADP
ejpam-6711	152	29	enhancing	enhance	VERB
ejpam-6711	152	30	transitions	transition	NOUN
ejpam-6711	152	31	to	to	PART
ejpam-6711	152	32	lower	lower	VERB
ejpam-6711	152	33	risk	risk	NOUN
ejpam-6711	152	34	or	or	CCONJ
ejpam-6711	152	35	faster	fast	ADJ
ejpam-6711	152	36	progression	progression	NOUN
ejpam-6711	152	37	to	to	ADP
ejpam-6711	152	38	treatment	treatment	NOUN
ejpam-6711	152	39	.	.	PUNCT
ejpam-6711	153	1	conversely	conversely	ADV
ejpam-6711	153	2	,	,	PUNCT
ejpam-6711	153	3	subfigures	subfigure	NOUN
ejpam-6711	153	4	(	(	PUNCT
ejpam-6711	153	5	2d	2d	NOUN
ejpam-6711	153	6	)	)	PUNCT
ejpam-6711	153	7	and	and	CCONJ
ejpam-6711	153	8	(	(	PUNCT
ejpam-6711	153	9	2e	2e	NOUN
ejpam-6711	153	10	)	)	PUNCT
ejpam-6711	153	11	reveal	reveal	VERB
ejpam-6711	153	12	that	that	SCONJ
ejpam-6711	153	13	increases	increase	VERB
ejpam-6711	153	14	in	in	ADP
ejpam-6711	153	15	δ2	δ2	VERB
ejpam-6711	153	16	or	or	CCONJ
ejpam-6711	153	17	η	η	PROPN
ejpam-6711	153	18	can	can	AUX
ejpam-6711	153	19	elevate	elevate	VERB
ejpam-6711	153	20	r0	r0	NOUN
ejpam-6711	153	21	,	,	PUNCT
ejpam-6711	153	22	emphasizing	emphasize	VERB
ejpam-6711	153	23	the	the	DET
ejpam-6711	153	24	risk	risk	NOUN
ejpam-6711	153	25	associated	associate	VERB
ejpam-6711	153	26	with	with	ADP
ejpam-6711	153	27	transitions	transition	NOUN
ejpam-6711	153	28	to	to	ADP
ejpam-6711	153	29	higher	high	ADJ
ejpam-6711	153	30	susceptibility	susceptibility	NOUN
ejpam-6711	153	31	and	and	CCONJ
ejpam-6711	153	32	increased	increase	VERB
ejpam-6711	153	33	infectivity	infectivity	NOUN
ejpam-6711	153	34	.	.	PUNCT
ejpam-6711	154	1	finally	finally	ADV
ejpam-6711	154	2	,	,	PUNCT
ejpam-6711	154	3	subfigure	subfigure	NOUN
ejpam-6711	154	4	(	(	PUNCT
ejpam-6711	154	5	2f	2f	NUM
ejpam-6711	154	6	)	)	PUNCT
ejpam-6711	154	7	illustrates	illustrate	VERB
ejpam-6711	154	8	that	that	SCONJ
ejpam-6711	154	9	higher	high	ADJ
ejpam-6711	154	10	values	value	NOUN
ejpam-6711	154	11	of	of	ADP
ejpam-6711	154	12	∆	∆	PROPN
ejpam-6711	154	13	and	and	CCONJ
ejpam-6711	154	14	η	η	PROPN
ejpam-6711	154	15	are	be	AUX
ejpam-6711	154	16	associated	associate	VERB
ejpam-6711	154	17	with	with	ADP
ejpam-6711	154	18	greater	great	ADJ
ejpam-6711	154	19	r0	r0	NOUN
ejpam-6711	154	20	,	,	PUNCT
ejpam-6711	154	21	underlining	underline	VERB
ejpam-6711	154	22	the	the	DET
ejpam-6711	154	23	combined	combine	VERB
ejpam-6711	154	24	impact	impact	NOUN
ejpam-6711	154	25	of	of	ADP
ejpam-6711	154	26	recruitment	recruitment	NOUN
ejpam-6711	154	27	and	and	CCONJ
ejpam-6711	154	28	infectivity	infectivity	NOUN
ejpam-6711	154	29	on	on	ADP
ejpam-6711	154	30	outbreak	outbreak	NOUN
ejpam-6711	154	31	potential	potential	NOUN
ejpam-6711	154	32	.	.	PUNCT
ejpam-6711	155	1	collectively	collectively	ADV
ejpam-6711	155	2	,	,	PUNCT
ejpam-6711	155	3	these	these	DET
ejpam-6711	155	4	plots	plot	NOUN
ejpam-6711	155	5	enable	enable	VERB
ejpam-6711	155	6	clear	clear	ADJ
ejpam-6711	155	7	identification	identification	NOUN
ejpam-6711	155	8	of	of	ADP
ejpam-6711	155	9	parameter	parameter	NOUN
ejpam-6711	155	10	regions	region	NOUN
ejpam-6711	155	11	where	where	SCONJ
ejpam-6711	155	12	interventions	intervention	NOUN
ejpam-6711	155	13	would	would	AUX
ejpam-6711	155	14	be	be	AUX
ejpam-6711	155	15	most	most	ADV
ejpam-6711	155	16	effective	effective	ADJ
ejpam-6711	155	17	in	in	ADP
ejpam-6711	155	18	reducing	reduce	VERB
ejpam-6711	155	19	r0	r0	NOUN
ejpam-6711	155	20	below	below	ADP
ejpam-6711	155	21	the	the	DET
ejpam-6711	155	22	epidemic	epidemic	NOUN
ejpam-6711	155	23	threshold	threshold	NOUN
ejpam-6711	155	24	,	,	PUNCT
ejpam-6711	155	25	thereby	thereby	ADV
ejpam-6711	155	26	guiding	guide	VERB
ejpam-6711	155	27	optimal	optimal	ADJ
ejpam-6711	155	28	public	public	ADJ
ejpam-6711	155	29	health	health	NOUN
ejpam-6711	155	30	strategies	strategy	NOUN
ejpam-6711	155	31	.	.	PUNCT
ejpam-6711	156	1	5.1	5.1	NUM
ejpam-6711	156	2	.	.	PUNCT
ejpam-6711	157	1	local	local	ADJ
ejpam-6711	157	2	stability	stability	NOUN
ejpam-6711	157	3	analysis	analysis	NOUN
ejpam-6711	157	4	theorem	theorem	VERB
ejpam-6711	157	5	4	4	NUM
ejpam-6711	157	6	.	.	PUNCT
ejpam-6711	158	1	the	the	DET
ejpam-6711	158	2	drug	drug	NOUN
ejpam-6711	158	3	-	-	PUNCT
ejpam-6711	158	4	free	free	ADJ
ejpam-6711	158	5	equilibrium	equilibrium	NOUN
ejpam-6711	158	6	e0	e0	PROPN
ejpam-6711	158	7	of	of	ADP
ejpam-6711	158	8	system	system	NOUN
ejpam-6711	158	9	(	(	PUNCT
ejpam-6711	158	10	2.1	2.1	NUM
ejpam-6711	158	11	)	)	PUNCT
ejpam-6711	158	12	is	be	AUX
ejpam-6711	158	13	locally	locally	ADV
ejpam-6711	158	14	asymptotically	asymptotically	ADV
ejpam-6711	158	15	stable	stable	ADJ
ejpam-6711	158	16	if	if	SCONJ
ejpam-6711	158	17	r0	r0	NOUN
ejpam-6711	158	18	<	<	X
ejpam-6711	158	19	1	1	NUM
ejpam-6711	158	20	and	and	CCONJ
ejpam-6711	158	21	unstable	unstable	ADJ
ejpam-6711	158	22	if	if	SCONJ
ejpam-6711	158	23	r0	r0	NOUN
ejpam-6711	158	24	>	>	X
ejpam-6711	158	25	1	1	NUM
ejpam-6711	159	1	[	[	X
ejpam-6711	159	2	27	27	NUM
ejpam-6711	159	3	]	]	PUNCT
ejpam-6711	159	4	.	.	PUNCT
ejpam-6711	160	1	proof	proof	NOUN
ejpam-6711	160	2	.	.	PUNCT
ejpam-6711	161	1	the	the	DET
ejpam-6711	161	2	jacobian	jacobian	ADJ
ejpam-6711	161	3	matrix	matrix	NOUN
ejpam-6711	161	4	evaluated	evaluate	VERB
ejpam-6711	161	5	at	at	ADP
ejpam-6711	161	6	e0	e0	PROPN
ejpam-6711	161	7	of	of	ADP
ejpam-6711	161	8	the	the	DET
ejpam-6711	161	9	system	system	NOUN
ejpam-6711	161	10	of	of	ADP
ejpam-6711	161	11	non	non	ADJ
ejpam-6711	161	12	-	-	ADJ
ejpam-6711	161	13	linear	linear	ADJ
ejpam-6711	161	14	equations	equation	NOUN
ejpam-6711	161	15	(	(	PUNCT
ejpam-6711	161	16	2.1	2.1	NUM
ejpam-6711	161	17	)	)	PUNCT
ejpam-6711	161	18	and	and	CCONJ
ejpam-6711	161	19	substitute	substitute	VERB
ejpam-6711	161	20	the	the	DET
ejpam-6711	161	21	drug	drug	NOUN
ejpam-6711	161	22	-	-	PUNCT
ejpam-6711	161	23	free	free	ADJ
ejpam-6711	161	24	equilibrium	equilibrium	NOUN
ejpam-6711	161	25	points	point	NOUN
ejpam-6711	161	26	.	.	PUNCT
ejpam-6711	162	1	j0	j0	PROPN
ejpam-6711	162	2	=	=	SYM
ejpam-6711	162	3			NOUN
ejpam-6711	162	4	−µ−	−µ−	NOUN
ejpam-6711	162	5	δ1	δ1	NOUN
ejpam-6711	162	6	δ2	δ2	VERB
ejpam-6711	162	7	−	−	PROPN
ejpam-6711	162	8	(	(	PUNCT
ejpam-6711	162	9	∆µ+δ2)β1	∆µ+δ2)β1	NOUN
ejpam-6711	162	10	µ+δ1+δ2	µ+δ1+δ2	PROPN
ejpam-6711	162	11	0	0	NUM
ejpam-6711	162	12	0	0	NUM
ejpam-6711	162	13	0	0	NUM
ejpam-6711	162	14	0	0	NUM
ejpam-6711	162	15	δ1	δ1	NOUN
ejpam-6711	162	16	−µ−	−µ−	NOUN
ejpam-6711	162	17	δ2	δ2	VERB
ejpam-6711	162	18	β1((∆−1)µ−δ1)η	β1((∆−1)µ−δ1)η	PROPN
ejpam-6711	162	19	µ+δ1+δ2	µ+δ1+δ2	PROPN
ejpam-6711	162	20	0	0	NUM
ejpam-6711	162	21	0	0	NUM
ejpam-6711	162	22	0	0	NUM
ejpam-6711	162	23	0	0	NUM
ejpam-6711	162	24	0	0	NUM
ejpam-6711	162	25	0	0	NUM
ejpam-6711	162	26	−µ2+(((1−∆)η+∆)β1−φ−δ1−δ2)µ+(η	−µ2+(((1−∆)η+∆)β1−φ−δ1−δ2)µ+(η	NOUN
ejpam-6711	162	27	δ1+δ2)β1−φ	δ1+δ2)β1−φ	PROPN
ejpam-6711	162	28	(	(	PUNCT
ejpam-6711	162	29	δ1+δ2	δ1+δ2	NOUN
ejpam-6711	162	30	)	)	PUNCT
ejpam-6711	162	31	µ+δ1+δ2	µ+δ1+δ2	PROPN
ejpam-6711	162	32	0	0	NUM
ejpam-6711	162	33	0	0	NUM
ejpam-6711	162	34	0	0	NUM
ejpam-6711	162	35	0	0	NUM
ejpam-6711	162	36	0	0	NUM
ejpam-6711	162	37	0	0	NUM
ejpam-6711	162	38	φ	φ	PROPN
ejpam-6711	162	39	−σ	−σ	NOUN
ejpam-6711	162	40	−	−	PROPN
ejpam-6711	162	41	µ−	µ−	PROPN
ejpam-6711	162	42	ω1	ω1	PROPN
ejpam-6711	162	43	−	−	PROPN
ejpam-6711	162	44	ϕ	ϕ	PROPN
ejpam-6711	162	45	α3	α3	PROPN
ejpam-6711	162	46	0	0	NUM
ejpam-6711	162	47	α2	α2	ADJ
ejpam-6711	162	48	0	0	NUM
ejpam-6711	162	49	0	0	NUM
ejpam-6711	162	50	0	0	NUM
ejpam-6711	162	51	(	(	PUNCT
ejpam-6711	162	52	1−	1−	NUM
ejpam-6711	162	53	γ)σ	γ)σ	NOUN
ejpam-6711	162	54	−α3	−α3	PROPN
ejpam-6711	162	55	−	−	PROPN
ejpam-6711	162	56	λ1	λ1	ADJ
ejpam-6711	162	57	−	−	PROPN
ejpam-6711	162	58	ϱ1	ϱ1	PROPN
ejpam-6711	162	59	−	−	PROPN
ejpam-6711	162	60	µ	µ	NOUN
ejpam-6711	162	61	λ1	λ1	ADJ
ejpam-6711	162	62	0	0	NUM
ejpam-6711	162	63	0	0	NUM
ejpam-6711	162	64	0	0	NUM
ejpam-6711	162	65	0	0	NUM
ejpam-6711	162	66	γ	γ	PROPN
ejpam-6711	162	67	σ	σ	PROPN
ejpam-6711	162	68	λ1	λ1	PROPN
ejpam-6711	162	69	−λ1	−λ1	PROPN
ejpam-6711	162	70	−	−	PROPN
ejpam-6711	162	71	ϱ2	ϱ2	PROPN
ejpam-6711	162	72	−	−	PROPN
ejpam-6711	162	73	µ	µ	X
ejpam-6711	162	74	0	0	NUM
ejpam-6711	162	75	0	0	NUM
ejpam-6711	162	76	0	0	NUM
ejpam-6711	162	77	0	0	NUM
ejpam-6711	162	78	ϕ	ϕ	PROPN
ejpam-6711	162	79	ϱ1	ϱ1	PROPN
ejpam-6711	162	80	ϱ2	ϱ2	NOUN
ejpam-6711	162	81	−α2	−α2	PROPN
ejpam-6711	163	1	−	−	PROPN
ejpam-6711	163	2	µ	µ	PROPN
ejpam-6711	163	3			NUM
ejpam-6711	163	4	,	,	PUNCT
ejpam-6711	163	5	(	(	PUNCT
ejpam-6711	163	6	5.12	5.12	NUM
ejpam-6711	163	7	)	)	PUNCT
ejpam-6711	163	8	the	the	DET
ejpam-6711	163	9	local	local	ADJ
ejpam-6711	163	10	stability	stability	NOUN
ejpam-6711	163	11	analysis	analysis	NOUN
ejpam-6711	163	12	of	of	ADP
ejpam-6711	163	13	the	the	DET
ejpam-6711	163	14	drug	drug	NOUN
ejpam-6711	163	15	-	-	PUNCT
ejpam-6711	163	16	free	free	ADJ
ejpam-6711	163	17	equilibrium	equilibrium	NOUN
ejpam-6711	163	18	(	(	PUNCT
ejpam-6711	163	19	dfe	dfe	PROPN
ejpam-6711	163	20	)	)	PUNCT
ejpam-6711	163	21	is	be	AUX
ejpam-6711	163	22	conducted	conduct	VERB
ejpam-6711	163	23	by	by	ADP
ejpam-6711	163	24	evaluating	evaluate	VERB
ejpam-6711	163	25	the	the	DET
ejpam-6711	163	26	jacobian	jacobian	ADJ
ejpam-6711	163	27	matrix	matrix	NOUN
ejpam-6711	163	28	at	at	ADP
ejpam-6711	163	29	the	the	DET
ejpam-6711	163	30	dfe	dfe	PROPN
ejpam-6711	163	31	and	and	CCONJ
ejpam-6711	163	32	examining	examine	VERB
ejpam-6711	163	33	its	its	PRON
ejpam-6711	163	34	eigenvalues	eigenvalue	NOUN
ejpam-6711	163	35	.	.	PUNCT
ejpam-6711	164	1	the	the	DET
ejpam-6711	164	2	dfe	dfe	PROPN
ejpam-6711	164	3	is	be	AUX
ejpam-6711	164	4	given	give	VERB
ejpam-6711	164	5	by	by	ADP
ejpam-6711	164	6	,	,	PUNCT
ejpam-6711	164	7	(	(	PUNCT
ejpam-6711	164	8	s∗	s∗	PROPN
ejpam-6711	164	9	d	d	PROPN
ejpam-6711	164	10	,	,	PUNCT
ejpam-6711	164	11	s	s	NOUN
ejpam-6711	164	12	∗	∗	NOUN
ejpam-6711	164	13	i	i	PRON
ejpam-6711	164	14	,	,	PUNCT
ejpam-6711	164	15	0	0	NUM
ejpam-6711	164	16	,	,	PUNCT
ejpam-6711	164	17	0	0	NUM
ejpam-6711	164	18	,	,	PUNCT
ejpam-6711	164	19	0	0	NUM
ejpam-6711	164	20	,	,	PUNCT
ejpam-6711	164	21	0	0	NUM
ejpam-6711	164	22	,	,	PUNCT
ejpam-6711	164	23	0	0	NUM
ejpam-6711	164	24	)	)	PUNCT
ejpam-6711	164	25	=	=	NOUN
ejpam-6711	164	26	(	(	PUNCT
ejpam-6711	164	27	ρ(∆µ+	ρ(∆µ+	PROPN
ejpam-6711	164	28	δ2	δ2	VERB
ejpam-6711	164	29	)	)	PUNCT
ejpam-6711	164	30	µ(µ+	µ(µ+	NOUN
ejpam-6711	164	31	δ1	δ1	NOUN
ejpam-6711	164	32	+	+	CCONJ
ejpam-6711	164	33	δ2	δ2	VERB
ejpam-6711	164	34	)	)	PUNCT
ejpam-6711	164	35	,	,	PUNCT
ejpam-6711	164	36	ρ(δ1	ρ(δ1	NOUN
ejpam-6711	164	37	+	+	CCONJ
ejpam-6711	164	38	(	(	PUNCT
ejpam-6711	164	39	1−∆)µ	1−∆)µ	NUM
ejpam-6711	164	40	)	)	PUNCT
ejpam-6711	164	41	µ(µ+	µ(µ+	NOUN
ejpam-6711	164	42	δ1	δ1	NOUN
ejpam-6711	164	43	+	+	CCONJ
ejpam-6711	164	44	δ2	δ2	ADJ
ejpam-6711	164	45	)	)	PUNCT
ejpam-6711	164	46	,	,	PUNCT
ejpam-6711	164	47	0	0	NUM
ejpam-6711	164	48	,	,	PUNCT
ejpam-6711	164	49	0	0	NUM
ejpam-6711	164	50	,	,	PUNCT
ejpam-6711	164	51	0	0	NUM
ejpam-6711	164	52	,	,	PUNCT
ejpam-6711	164	53	0	0	NUM
ejpam-6711	164	54	,	,	PUNCT
ejpam-6711	164	55	0	0	NUM
ejpam-6711	164	56	)	)	PUNCT
ejpam-6711	164	57	.	.	PUNCT
ejpam-6711	165	1	the	the	DET
ejpam-6711	165	2	jacobian	jacobian	ADJ
ejpam-6711	165	3	matrix	matrix	NOUN
ejpam-6711	165	4	evaluated	evaluate	VERB
ejpam-6711	165	5	at	at	ADP
ejpam-6711	165	6	this	this	DET
ejpam-6711	165	7	equilibrium	equilibrium	NOUN
ejpam-6711	165	8	is	be	AUX
ejpam-6711	165	9	structured	structure	VERB
ejpam-6711	165	10	into	into	ADP
ejpam-6711	165	11	blocks	block	NOUN
ejpam-6711	165	12	corresponding	correspond	VERB
ejpam-6711	165	13	to	to	ADP
ejpam-6711	165	14	non	non	ADJ
ejpam-6711	165	15	-	-	ADJ
ejpam-6711	165	16	infected	infected	ADJ
ejpam-6711	165	17	(	(	PUNCT
ejpam-6711	165	18	sd	sd	NOUN
ejpam-6711	165	19	,	,	PUNCT
ejpam-6711	165	20	si	si	NOUN
ejpam-6711	165	21	)	)	PUNCT
ejpam-6711	165	22	and	and	CCONJ
ejpam-6711	165	23	infected	infect	VERB
ejpam-6711	165	24	(	(	PUNCT
ejpam-6711	165	25	p	p	X
ejpam-6711	165	26	,	,	PUNCT
ejpam-6711	165	27	i	i	PROPN
ejpam-6711	165	28	d	d	PROPN
ejpam-6711	165	29	,	,	PUNCT
ejpam-6711	165	30	tp	tp	X
ejpam-6711	165	31	,	,	PUNCT
ejpam-6711	165	32	th	th	X
ejpam-6711	165	33	,	,	PUNCT
ejpam-6711	165	34	r	r	NOUN
ejpam-6711	165	35	)	)	PUNCT
ejpam-6711	165	36	compartments	compartment	NOUN
ejpam-6711	165	37	.	.	PUNCT
ejpam-6711	166	1	the	the	DET
ejpam-6711	166	2	non	non	ADJ
ejpam-6711	166	3	-	-	ADJ
ejpam-6711	166	4	infected	infected	ADJ
ejpam-6711	166	5	subsystem	subsystem	NOUN
ejpam-6711	166	6	yields	yield	NOUN
ejpam-6711	166	7	eigenvalues	eigenvalue	VERB
ejpam-6711	166	8	with	with	ADP
ejpam-6711	166	9	negative	negative	ADJ
ejpam-6711	166	10	real	real	ADJ
ejpam-6711	166	11	parts	part	NOUN
ejpam-6711	166	12	due	due	ADP
ejpam-6711	166	13	to	to	ADP
ejpam-6711	166	14	the	the	DET
ejpam-6711	166	15	trace	trace	NOUN
ejpam-6711	166	16	and	and	CCONJ
ejpam-6711	166	17	determinant	determinant	ADJ
ejpam-6711	166	18	l.	l.	PROPN
ejpam-6711	166	19	yaseen	yaseen	PROPN
ejpam-6711	166	20	et	et	PROPN
ejpam-6711	166	21	al	al	PROPN
ejpam-6711	166	22	.	.	PUNCT
ejpam-6711	166	23	/	/	SYM
ejpam-6711	166	24	eur	eur	PROPN
ejpam-6711	166	25	.	.	PUNCT
ejpam-6711	167	1	j.	j.	PROPN
ejpam-6711	167	2	pure	pure	PROPN
ejpam-6711	167	3	appl	appl	PROPN
ejpam-6711	167	4	.	.	PROPN
ejpam-6711	167	5	math	math	PROPN
ejpam-6711	167	6	,	,	PUNCT
ejpam-6711	167	7	18	18	NUM
ejpam-6711	167	8	(	(	PUNCT
ejpam-6711	167	9	4	4	NUM
ejpam-6711	167	10	)	)	PUNCT
ejpam-6711	167	11	(	(	PUNCT
ejpam-6711	167	12	2025	2025	NUM
ejpam-6711	167	13	)	)	PUNCT
ejpam-6711	167	14	,	,	PUNCT
ejpam-6711	167	15	6711	6711	NUM
ejpam-6711	167	16	11	11	NUM
ejpam-6711	167	17	of	of	ADP
ejpam-6711	167	18	29	29	NUM
ejpam-6711	167	19	conditions	condition	NOUN
ejpam-6711	167	20	of	of	ADP
ejpam-6711	167	21	its	its	PRON
ejpam-6711	167	22	submatrix	submatrix	NOUN
ejpam-6711	167	23	:	:	PUNCT
ejpam-6711	167	24	(	(	PUNCT
ejpam-6711	167	25	−(δ1	−(δ1	PRON
ejpam-6711	167	26	+	+	CCONJ
ejpam-6711	167	27	µ	µ	X
ejpam-6711	167	28	)	)	PUNCT
ejpam-6711	167	29	δ2	δ2	VERB
ejpam-6711	167	30	δ1	δ1	NOUN
ejpam-6711	167	31	−(δ2	−(δ2	PROPN
ejpam-6711	167	32	+	+	CCONJ
ejpam-6711	167	33	µ	µ	X
ejpam-6711	167	34	)	)	PUNCT
ejpam-6711	167	35	)	)	PUNCT
ejpam-6711	167	36	,	,	PUNCT
ejpam-6711	167	37	where	where	SCONJ
ejpam-6711	167	38	the	the	DET
ejpam-6711	167	39	trace	trace	NOUN
ejpam-6711	167	40	−(δ1	−(δ1	VERB
ejpam-6711	167	41	+	+	X
ejpam-6711	167	42	δ2	δ2	VERB
ejpam-6711	167	43	+	+	NOUN
ejpam-6711	167	44	2µ	2µ	NUM
ejpam-6711	167	45	)	)	PUNCT
ejpam-6711	167	46	is	be	AUX
ejpam-6711	167	47	negative	negative	ADJ
ejpam-6711	167	48	,	,	PUNCT
ejpam-6711	167	49	and	and	CCONJ
ejpam-6711	167	50	the	the	DET
ejpam-6711	167	51	determinant	determinant	ADJ
ejpam-6711	167	52	µ(µ+	µ(µ+	NUM
ejpam-6711	167	53	δ1	δ1	NOUN
ejpam-6711	167	54	+	+	X
ejpam-6711	167	55	δ2	δ2	VERB
ejpam-6711	167	56	)	)	PUNCT
ejpam-6711	167	57	is	be	AUX
ejpam-6711	167	58	positive	positive	ADJ
ejpam-6711	167	59	.	.	PUNCT
ejpam-6711	168	1	for	for	ADP
ejpam-6711	168	2	the	the	DET
ejpam-6711	168	3	infected	infected	ADJ
ejpam-6711	168	4	subsystem	subsystem	NOUN
ejpam-6711	168	5	,	,	PUNCT
ejpam-6711	168	6	the	the	DET
ejpam-6711	168	7	critical	critical	ADJ
ejpam-6711	168	8	eigenvalue	eigenvalue	NOUN
ejpam-6711	168	9	is	be	AUX
ejpam-6711	168	10	derived	derive	VERB
ejpam-6711	168	11	from	from	ADP
ejpam-6711	168	12	the	the	DET
ejpam-6711	168	13	entry	entry	NOUN
ejpam-6711	168	14	governing	govern	VERB
ejpam-6711	168	15	p	p	NOUN
ejpam-6711	168	16	,	,	PUNCT
ejpam-6711	168	17	which	which	PRON
ejpam-6711	168	18	simplifies	simplify	VERB
ejpam-6711	168	19	to	to	ADP
ejpam-6711	168	20	λp	λp	PROPN
ejpam-6711	169	1	=	=	SYM
ejpam-6711	169	2	(	(	PUNCT
ejpam-6711	169	3	r0	r0	NOUN
ejpam-6711	169	4	−	−	PROPN
ejpam-6711	169	5	1)(φ+	1)(φ+	NUM
ejpam-6711	169	6	µ	µ	NUM
ejpam-6711	169	7	)	)	PUNCT
ejpam-6711	169	8	,	,	PUNCT
ejpam-6711	169	9	where	where	SCONJ
ejpam-6711	169	10	r0	r0	NOUN
ejpam-6711	169	11	=	=	SYM
ejpam-6711	169	12	(	(	PUNCT
ejpam-6711	169	13	(	(	PUNCT
ejpam-6711	169	14	(	(	PUNCT
ejpam-6711	169	15	1−∆)η	1−∆)η	NUM
ejpam-6711	169	16	+	+	ADJ
ejpam-6711	169	17	∆)µ+	∆)µ+	PROPN
ejpam-6711	169	18	η	η	PROPN
ejpam-6711	169	19	δ1	δ1	NOUN
ejpam-6711	169	20	+	+	CCONJ
ejpam-6711	169	21	δ2)β1	δ2)β1	NOUN
ejpam-6711	169	22	(	(	PUNCT
ejpam-6711	169	23	µ+	µ+	NOUN
ejpam-6711	169	24	δ1	δ1	NOUN
ejpam-6711	169	25	+	+	CCONJ
ejpam-6711	169	26	δ2	δ2	VERB
ejpam-6711	169	27	)	)	PUNCT
ejpam-6711	169	28	(	(	PUNCT
ejpam-6711	169	29	φ+	φ+	NOUN
ejpam-6711	169	30	µ	µ	X
ejpam-6711	169	31	)	)	PUNCT
ejpam-6711	169	32	.	.	PUNCT
ejpam-6711	170	1	the	the	DET
ejpam-6711	170	2	remaining	remain	VERB
ejpam-6711	170	3	eigenvalues	eigenvalue	NOUN
ejpam-6711	170	4	of	of	ADP
ejpam-6711	170	5	the	the	DET
ejpam-6711	170	6	infected	infected	ADJ
ejpam-6711	170	7	subsystem	subsystem	NOUN
ejpam-6711	170	8	are	be	AUX
ejpam-6711	170	9	determined	determine	VERB
ejpam-6711	170	10	by	by	ADP
ejpam-6711	170	11	the	the	DET
ejpam-6711	170	12	submatrix:	submatrix:	ADJ
ejpam-6711	170	13	−(µ+	−(µ+	PROPN
ejpam-6711	170	14	ω1	ω1	PROPN
ejpam-6711	170	15	+	+	CCONJ
ejpam-6711	170	16	ϕ+	ϕ+	PROPN
ejpam-6711	170	17	σ	σ	PROPN
ejpam-6711	170	18	)	)	PUNCT
ejpam-6711	170	19	α3	α3	NOUN
ejpam-6711	170	20	0	0	NUM
ejpam-6711	170	21	α2	α2	ADJ
ejpam-6711	170	22	σ(1−	σ(1−	PROPN
ejpam-6711	170	23	γ	γ	PROPN
ejpam-6711	170	24	)	)	PUNCT
ejpam-6711	170	25	−(λ1	−(λ1	NUM
ejpam-6711	170	26	+	+	CCONJ
ejpam-6711	170	27	α3	α3	NOUN
ejpam-6711	170	28	+	+	CCONJ
ejpam-6711	170	29	µ+	µ+	PROPN
ejpam-6711	170	30	ϱ1	ϱ1	NOUN
ejpam-6711	170	31	)	)	PUNCT
ejpam-6711	171	1	λ1	λ1	PROPN
ejpam-6711	171	2	0	0	NUM
ejpam-6711	172	1	γσ	γσ	INTJ
ejpam-6711	172	2	λ1	λ1	ADJ
ejpam-6711	172	3	−(λ1	−(λ1	ADP
ejpam-6711	172	4	+	+	PROPN
ejpam-6711	172	5	µ+	µ+	PROPN
ejpam-6711	172	6	ϱ2	ϱ2	NOUN
ejpam-6711	172	7	)	)	PUNCT
ejpam-6711	172	8	0	0	PUNCT
ejpam-6711	173	1	ϕ	ϕ	PROPN
ejpam-6711	173	2	ϱ1	ϱ1	PROPN
ejpam-6711	173	3	ϱ2	ϱ2	NOUN
ejpam-6711	173	4	−(α2	−(α2	PRON
ejpam-6711	173	5	+	+	NUM
ejpam-6711	173	6	µ	µ	X
ejpam-6711	173	7	)	)	PUNCT
ejpam-6711	173	8			NOUN
ejpam-6711	173	9	.	.	PUNCT
ejpam-6711	174	1	this	this	DET
ejpam-6711	174	2	submatrix	submatrix	NOUN
ejpam-6711	174	3	has	have	VERB
ejpam-6711	174	4	negative	negative	ADJ
ejpam-6711	174	5	diagonal	diagonal	ADJ
ejpam-6711	174	6	entries	entry	NOUN
ejpam-6711	174	7	and	and	CCONJ
ejpam-6711	174	8	non	non	ADJ
ejpam-6711	174	9	-	-	ADJ
ejpam-6711	174	10	positive	positive	ADJ
ejpam-6711	174	11	off	off	ADJ
ejpam-6711	174	12	-	-	PUNCT
ejpam-6711	174	13	diagonal	diagonal	ADJ
ejpam-6711	174	14	terms	term	NOUN
ejpam-6711	174	15	,	,	PUNCT
ejpam-6711	174	16	ensuring	ensure	VERB
ejpam-6711	174	17	eigenvalues	eigenvalue	NOUN
ejpam-6711	174	18	with	with	ADP
ejpam-6711	174	19	negative	negative	ADJ
ejpam-6711	174	20	real	real	ADJ
ejpam-6711	174	21	parts	part	NOUN
ejpam-6711	174	22	if	if	SCONJ
ejpam-6711	174	23	r0	r0	VERB
ejpam-6711	174	24	<	<	X
ejpam-6711	174	25	1	1	NUM
ejpam-6711	174	26	.	.	PUNCT
ejpam-6711	175	1	thus	thus	ADV
ejpam-6711	175	2	,	,	PUNCT
ejpam-6711	175	3	the	the	DET
ejpam-6711	175	4	dfe	dfe	PROPN
ejpam-6711	175	5	is	be	AUX
ejpam-6711	175	6	locally	locally	ADV
ejpam-6711	175	7	asymptotically	asymptotically	ADV
ejpam-6711	175	8	stable	stable	ADJ
ejpam-6711	175	9	when	when	SCONJ
ejpam-6711	175	10	r0	r0	NOUN
ejpam-6711	175	11	<	<	X
ejpam-6711	175	12	1	1	NUM
ejpam-6711	175	13	,	,	PUNCT
ejpam-6711	175	14	as	as	SCONJ
ejpam-6711	175	15	all	all	DET
ejpam-6711	175	16	eigenvalues	eigenvalue	NOUN
ejpam-6711	175	17	of	of	ADP
ejpam-6711	175	18	the	the	DET
ejpam-6711	175	19	jacobian	jacobian	PROPN
ejpam-6711	175	20	have	have	VERB
ejpam-6711	175	21	negative	negative	ADJ
ejpam-6711	175	22	real	real	ADJ
ejpam-6711	175	23	parts	part	NOUN
ejpam-6711	175	24	.	.	PUNCT
ejpam-6711	176	1	conversely	conversely	ADV
ejpam-6711	176	2	,	,	PUNCT
ejpam-6711	176	3	if	if	SCONJ
ejpam-6711	176	4	r0	r0	NOUN
ejpam-6711	176	5	>	>	X
ejpam-6711	176	6	1	1	NUM
ejpam-6711	176	7	,	,	PUNCT
ejpam-6711	176	8	the	the	DET
ejpam-6711	176	9	eigenvalue	eigenvalue	PROPN
ejpam-6711	176	10	λp	λp	PROPN
ejpam-6711	176	11	becomes	become	VERB
ejpam-6711	176	12	positive	positive	ADJ
ejpam-6711	176	13	,	,	PUNCT
ejpam-6711	176	14	non	non	ADJ
ejpam-6711	176	15	-	-	ADJ
ejpam-6711	176	16	stable	stable	ADJ
ejpam-6711	176	17	the	the	DET
ejpam-6711	176	18	dfe	dfe	PROPN
ejpam-6711	176	19	and	and	CCONJ
ejpam-6711	176	20	allowing	allow	VERB
ejpam-6711	176	21	disease	disease	NOUN
ejpam-6711	176	22	persistence	persistence	NOUN
ejpam-6711	176	23	.	.	PUNCT
ejpam-6711	177	1	this	this	DET
ejpam-6711	177	2	stability	stability	NOUN
ejpam-6711	177	3	criterion	criterion	NOUN
ejpam-6711	177	4	aligns	align	VERB
ejpam-6711	177	5	with	with	ADP
ejpam-6711	177	6	the	the	DET
ejpam-6711	177	7	biological	biological	ADJ
ejpam-6711	177	8	interpretation	interpretation	NOUN
ejpam-6711	177	9	that	that	SCONJ
ejpam-6711	177	10	the	the	DET
ejpam-6711	177	11	infection	infection	NOUN
ejpam-6711	177	12	dies	die	VERB
ejpam-6711	177	13	out	out	ADP
ejpam-6711	177	14	when	when	SCONJ
ejpam-6711	177	15	each	each	DET
ejpam-6711	177	16	infected	infected	ADJ
ejpam-6711	177	17	individual	individual	ADJ
ejpam-6711	177	18	transmits	transmit	NOUN
ejpam-6711	177	19	to	to	ADP
ejpam-6711	177	20	fewer	few	ADJ
ejpam-6711	177	21	than	than	ADP
ejpam-6711	177	22	one	one	NUM
ejpam-6711	177	23	susceptible	susceptible	ADJ
ejpam-6711	177	24	person	person	NOUN
ejpam-6711	177	25	on	on	ADP
ejpam-6711	177	26	average	average	ADJ
ejpam-6711	177	27	.	.	PUNCT
ejpam-6711	178	1	5.2	5.2	NUM
ejpam-6711	178	2	.	.	PUNCT
ejpam-6711	179	1	global	global	ADJ
ejpam-6711	179	2	stability	stability	NOUN
ejpam-6711	179	3	analysis	analysis	NOUN
ejpam-6711	179	4	theorem	theorem	VERB
ejpam-6711	179	5	5	5	NUM
ejpam-6711	179	6	(	(	PUNCT
ejpam-6711	179	7	global	global	ADJ
ejpam-6711	179	8	stability	stability	NOUN
ejpam-6711	179	9	of	of	ADP
ejpam-6711	179	10	dfe	dfe	PROPN
ejpam-6711	179	11	)	)	PUNCT
ejpam-6711	179	12	.	.	PUNCT
ejpam-6711	180	1	if	if	SCONJ
ejpam-6711	180	2	r0	r0	NOUN
ejpam-6711	180	3	<	<	X
ejpam-6711	180	4	1	1	NUM
ejpam-6711	180	5	,	,	PUNCT
ejpam-6711	180	6	the	the	DET
ejpam-6711	180	7	disease	disease	NOUN
ejpam-6711	180	8	-	-	PUNCT
ejpam-6711	180	9	free	free	ADJ
ejpam-6711	180	10	equilibrium	equilibrium	NOUN
ejpam-6711	180	11	e0	e0	PROPN
ejpam-6711	180	12	of	of	ADP
ejpam-6711	180	13	system	system	NOUN
ejpam-6711	180	14	(	(	PUNCT
ejpam-6711	180	15	2.1	2.1	NUM
ejpam-6711	180	16	)	)	PUNCT
ejpam-6711	180	17	is	be	AUX
ejpam-6711	180	18	globally	globally	ADV
ejpam-6711	180	19	asymptotically	asymptotically	ADV
ejpam-6711	180	20	stable	stable	ADJ
ejpam-6711	180	21	(	(	PUNCT
ejpam-6711	180	22	gas	gas	NOUN
ejpam-6711	180	23	)	)	PUNCT
ejpam-6711	180	24	in	in	ADP
ejpam-6711	180	25	the	the	DET
ejpam-6711	180	26	feasible	feasible	ADJ
ejpam-6711	180	27	region	region	NOUN
ejpam-6711	180	28	γ	γ	X
ejpam-6711	180	29	.	.	PROPN
ejpam-6711	180	30	proof	proof	NOUN
ejpam-6711	180	31	.	.	PUNCT
ejpam-6711	181	1	we	we	PRON
ejpam-6711	181	2	employ	employ	VERB
ejpam-6711	181	3	the	the	DET
ejpam-6711	181	4	castillo	castillo	PROPN
ejpam-6711	181	5	-	-	PUNCT
ejpam-6711	181	6	chavez	chavez	PROPN
ejpam-6711	181	7	stability	stability	PROPN
ejpam-6711	181	8	criteria	criterion	NOUN
ejpam-6711	181	9	[	[	X
ejpam-6711	181	10	28	28	NUM
ejpam-6711	181	11	]	]	PUNCT
ejpam-6711	181	12	by	by	ADP
ejpam-6711	181	13	partitioning	partition	VERB
ejpam-6711	181	14	the	the	DET
ejpam-6711	181	15	system	system	NOUN
ejpam-6711	181	16	into	into	ADP
ejpam-6711	181	17	:	:	PUNCT
ejpam-6711	181	18	dx	dx	PROPN
ejpam-6711	181	19	dt	dt	PROPN
ejpam-6711	182	1	=	=	SYM
ejpam-6711	182	2	f	f	PROPN
ejpam-6711	182	3	(	(	PUNCT
ejpam-6711	182	4	x	x	X
ejpam-6711	182	5	,	,	PUNCT
ejpam-6711	182	6	0	0	NUM
ejpam-6711	182	7	)	)	PUNCT
ejpam-6711	182	8	(	(	PUNCT
ejpam-6711	182	9	non	non	ADJ
ejpam-6711	182	10	-	-	ADJ
ejpam-6711	182	11	infected	infected	ADJ
ejpam-6711	182	12	subsystem	subsystem	NOUN
ejpam-6711	182	13	)	)	PUNCT
ejpam-6711	182	14	(	(	PUNCT
ejpam-6711	182	15	5.13	5.13	NUM
ejpam-6711	182	16	)	)	PUNCT
ejpam-6711	182	17	dy	dy	NOUN
ejpam-6711	182	18	dt	dt	NOUN
ejpam-6711	182	19	=	=	SYM
ejpam-6711	182	20	g(x	g(x	PROPN
ejpam-6711	182	21	,	,	PUNCT
ejpam-6711	182	22	y	y	PROPN
ejpam-6711	182	23	)	)	PUNCT
ejpam-6711	182	24	(	(	PUNCT
ejpam-6711	182	25	infected	infect	VERB
ejpam-6711	182	26	subsystem	subsystem	NOUN
ejpam-6711	182	27	)	)	PUNCT
ejpam-6711	182	28	(	(	PUNCT
ejpam-6711	182	29	5.14	5.14	NUM
ejpam-6711	182	30	)	)	PUNCT
ejpam-6711	182	31	where	where	SCONJ
ejpam-6711	182	32	x	x	X
ejpam-6711	182	33	=	=	PRON
ejpam-6711	182	34	(	(	PUNCT
ejpam-6711	182	35	sd	sd	NOUN
ejpam-6711	182	36	,	,	PUNCT
ejpam-6711	182	37	si	si	NOUN
ejpam-6711	182	38	)	)	PUNCT
ejpam-6711	182	39	and	and	CCONJ
ejpam-6711	182	40	y	y	PROPN
ejpam-6711	182	41	=	=	PUNCT
ejpam-6711	183	1	(	(	PUNCT
ejpam-6711	183	2	p	p	X
ejpam-6711	183	3	,	,	PUNCT
ejpam-6711	183	4	i	i	PROPN
ejpam-6711	183	5	d	d	PROPN
ejpam-6711	183	6	,	,	PUNCT
ejpam-6711	183	7	tp	tp	X
ejpam-6711	183	8	,	,	PUNCT
ejpam-6711	183	9	th	th	X
ejpam-6711	183	10	,	,	PUNCT
ejpam-6711	183	11	r	r	NOUN
ejpam-6711	183	12	)	)	PUNCT
ejpam-6711	183	13	.	.	PUNCT
ejpam-6711	184	1	condition	condition	NOUN
ejpam-6711	184	2	1	1	NUM
ejpam-6711	184	3	:	:	PUNCT
ejpam-6711	184	4	the	the	DET
ejpam-6711	184	5	non	non	ADJ
ejpam-6711	184	6	-	-	ADJ
ejpam-6711	184	7	infected	infected	ADJ
ejpam-6711	184	8	subsystem	subsystem	NOUN
ejpam-6711	184	9	must	must	AUX
ejpam-6711	184	10	be	be	AUX
ejpam-6711	184	11	gas	gas	NOUN
ejpam-6711	184	12	at	at	ADP
ejpam-6711	184	13	x∗	x∗	PROPN
ejpam-6711	184	14	=	=	SYM
ejpam-6711	184	15	(	(	PUNCT
ejpam-6711	184	16	s∗	s∗	PROPN
ejpam-6711	184	17	d	d	PROPN
ejpam-6711	184	18	,	,	PUNCT
ejpam-6711	184	19	s	s	NOUN
ejpam-6711	184	20	∗	∗	NOUN
ejpam-6711	184	21	i	i	PRON
ejpam-6711	184	22	)	)	PUNCT
ejpam-6711	184	23	.	.	PUNCT
ejpam-6711	185	1	from	from	ADP
ejpam-6711	185	2	(	(	PUNCT
ejpam-6711	185	3	5.13	5.13	NUM
ejpam-6711	185	4	):	):	PUNCT
ejpam-6711	185	5	dsd	dsd	PROPN
ejpam-6711	185	6	dt	dt	NOUN
ejpam-6711	185	7	=	=	PUNCT
ejpam-6711	185	8	ρ∆+	ρ∆+	X
ejpam-6711	185	9	δ2si	δ2si	PUNCT
ejpam-6711	185	10	−	−	PROPN
ejpam-6711	185	11	(	(	PUNCT
ejpam-6711	185	12	µ+	µ+	X
ejpam-6711	185	13	δ1)sd	δ1)sd	PROPN
ejpam-6711	185	14	dsi	dsi	NOUN
ejpam-6711	185	15	dt	dt	NOUN
ejpam-6711	185	16	=	=	SYM
ejpam-6711	185	17	ρ(1−∆	ρ(1−∆	ADJ
ejpam-6711	185	18	)	)	PUNCT
ejpam-6711	185	19	+	+	CCONJ
ejpam-6711	185	20	δ1sd	δ1sd	NUM
ejpam-6711	185	21	−	−	PROPN
ejpam-6711	185	22	(	(	PUNCT
ejpam-6711	185	23	µ+	µ+	X
ejpam-6711	185	24	δ2)si	δ2)si	X
ejpam-6711	185	25	l.	l.	PROPN
ejpam-6711	185	26	yaseen	yaseen	PROPN
ejpam-6711	185	27	et	et	PROPN
ejpam-6711	185	28	al	al	PROPN
ejpam-6711	185	29	.	.	PUNCT
ejpam-6711	185	30	/	/	SYM
ejpam-6711	185	31	eur	eur	PROPN
ejpam-6711	185	32	.	.	PUNCT
ejpam-6711	186	1	j.	j.	PROPN
ejpam-6711	186	2	pure	pure	PROPN
ejpam-6711	186	3	appl	appl	PROPN
ejpam-6711	186	4	.	.	PROPN
ejpam-6711	186	5	math	math	PROPN
ejpam-6711	186	6	,	,	PUNCT
ejpam-6711	186	7	18	18	NUM
ejpam-6711	186	8	(	(	PUNCT
ejpam-6711	186	9	4	4	NUM
ejpam-6711	186	10	)	)	PUNCT
ejpam-6711	186	11	(	(	PUNCT
ejpam-6711	186	12	2025	2025	NUM
ejpam-6711	186	13	)	)	PUNCT
ejpam-6711	186	14	,	,	PUNCT
ejpam-6711	186	15	6711	6711	NUM
ejpam-6711	186	16	12	12	NUM
ejpam-6711	186	17	of	of	ADP
ejpam-6711	186	18	29	29	NUM
ejpam-6711	186	19	the	the	DET
ejpam-6711	186	20	jacobian	jacobian	PROPN
ejpam-6711	186	21	at	at	ADP
ejpam-6711	186	22	dfe	dfe	PROPN
ejpam-6711	186	23	:	:	PUNCT
ejpam-6711	186	24	jx	jx	PROPN
ejpam-6711	186	25	=	=	PUNCT
ejpam-6711	186	26	(	(	PUNCT
ejpam-6711	186	27	−(µ+	−(µ+	NUM
ejpam-6711	186	28	δ1	δ1	NOUN
ejpam-6711	186	29	)	)	PUNCT
ejpam-6711	186	30	δ2	δ2	VERB
ejpam-6711	186	31	δ1	δ1	NOUN
ejpam-6711	186	32	−(µ+	−(µ+	PROPN
ejpam-6711	186	33	δ2	δ2	PROPN
ejpam-6711	186	34	)	)	PUNCT
ejpam-6711	186	35	)	)	PUNCT
ejpam-6711	186	36	has	have	AUX
ejpam-6711	186	37	eigenvalues	eigenvalue	NOUN
ejpam-6711	186	38	with	with	ADP
ejpam-6711	186	39	negative	negative	ADJ
ejpam-6711	186	40	real	real	ADJ
ejpam-6711	186	41	parts	part	NOUN
ejpam-6711	186	42	since	since	SCONJ
ejpam-6711	186	43	:	:	PUNCT
ejpam-6711	186	44	•	•	NUM
ejpam-6711	186	45	trace	trace	NOUN
ejpam-6711	186	46	:	:	PUNCT
ejpam-6711	186	47	−2µ−	−2µ−	ADJ
ejpam-6711	186	48	δ1	δ1	NOUN
ejpam-6711	186	49	−	−	PROPN
ejpam-6711	186	50	δ2	δ2	VERB
ejpam-6711	186	51	<	<	X
ejpam-6711	186	52	0	0	NUM
ejpam-6711	186	53	•	•	NOUN
ejpam-6711	186	54	determinant	determinant	ADJ
ejpam-6711	186	55	:	:	PUNCT
ejpam-6711	186	56	µ(µ+	µ(µ+	NUM
ejpam-6711	186	57	δ1	δ1	NOUN
ejpam-6711	186	58	+	+	CCONJ
ejpam-6711	186	59	δ2	δ2	VERB
ejpam-6711	186	60	)	)	PUNCT
ejpam-6711	186	61	>	>	SYM
ejpam-6711	186	62	0	0	NUM
ejpam-6711	187	1	condition	condition	NOUN
ejpam-6711	187	2	2	2	NUM
ejpam-6711	187	3	:	:	PUNCT
ejpam-6711	187	4	the	the	DET
ejpam-6711	187	5	infected	infected	ADJ
ejpam-6711	187	6	subsystem	subsystem	NOUN
ejpam-6711	187	7	must	must	AUX
ejpam-6711	187	8	satisfy	satisfy	VERB
ejpam-6711	187	9	yn(sd	yn(sd	PROPN
ejpam-6711	187	10	,	,	PUNCT
ejpam-6711	188	1	si	si	NOUN
ejpam-6711	188	2	)	)	PUNCT
ejpam-6711	188	3	=	=	SYM
ejpam-6711	188	4	aun	aun	PROPN
ejpam-6711	188	5	−	−	PROPN
ejpam-6711	188	6	yn	yn	PROPN
ejpam-6711	188	7	(	(	PUNCT
ejpam-6711	188	8	ˆsd	ˆsd	PROPN
ejpam-6711	188	9	,	,	PUNCT
ejpam-6711	188	10	si	si	NOUN
ejpam-6711	188	11	)	)	PUNCT
ejpam-6711	188	12	.	.	PUNCT
ejpam-6711	189	1	yn	yn	PROPN
ejpam-6711	189	2	=	=	PUNCT
ejpam-6711	189	3			PROPN
ejpam-6711	189	4	η	η	PROPN
ejpam-6711	189	5	β1si	β1si	X
ejpam-6711	189	6	n	n	PROPN
ejpam-6711	189	7	+	+	CCONJ
ejpam-6711	189	8	β1sd	β1sd	PUNCT
ejpam-6711	189	9	n	n	CCONJ
ejpam-6711	189	10	−	−	PROPN
ejpam-6711	189	11	φ−	φ−	PROPN
ejpam-6711	189	12	µ	µ	X
ejpam-6711	189	13	0	0	NUM
ejpam-6711	189	14	0	0	NUM
ejpam-6711	189	15	0	0	NUM
ejpam-6711	189	16	0	0	NUM
ejpam-6711	189	17	φ	φ	NUM
ejpam-6711	189	18	−	−	PROPN
ejpam-6711	189	19	(	(	PUNCT
ejpam-6711	189	20	1−	1−	NUM
ejpam-6711	189	21	γ)σ	γ)σ	NOUN
ejpam-6711	189	22	−	−	PROPN
ejpam-6711	189	23	γ	γ	PROPN
ejpam-6711	189	24	σ	σ	PROPN
ejpam-6711	189	25	−	−	PROPN
ejpam-6711	189	26	µ−	µ−	PROPN
ejpam-6711	189	27	ω1	ω1	PROPN
ejpam-6711	189	28	−	−	PROPN
ejpam-6711	189	29	ϕ	ϕ	PROPN
ejpam-6711	189	30	α3	α3	PROPN
ejpam-6711	189	31	0	0	NUM
ejpam-6711	189	32	α2	α2	ADJ
ejpam-6711	189	33	0	0	NUM
ejpam-6711	190	1	(	(	PUNCT
ejpam-6711	190	2	1−	1−	NUM
ejpam-6711	190	3	γ)σ	γ)σ	NOUN
ejpam-6711	190	4	−α3	−α3	PROPN
ejpam-6711	190	5	−	−	PROPN
ejpam-6711	190	6	λ1	λ1	ADJ
ejpam-6711	190	7	−	−	PROPN
ejpam-6711	190	8	ϱ1	ϱ1	PROPN
ejpam-6711	190	9	−	−	PROPN
ejpam-6711	190	10	µ	µ	NOUN
ejpam-6711	190	11	λ1	λ1	ADJ
ejpam-6711	190	12	0	0	NUM
ejpam-6711	190	13	0	0	NUM
ejpam-6711	190	14	γ	γ	PROPN
ejpam-6711	190	15	σ	σ	PROPN
ejpam-6711	190	16	λ1	λ1	PROPN
ejpam-6711	190	17	−λ1	−λ1	PROPN
ejpam-6711	190	18	−	−	PROPN
ejpam-6711	190	19	ϱ2	ϱ2	PROPN
ejpam-6711	190	20	−	−	PROPN
ejpam-6711	190	21	µ	µ	PROPN
ejpam-6711	190	22	0	0	NUM
ejpam-6711	190	23	0	0	NUM
ejpam-6711	190	24	ϕ	ϕ	PROPN
ejpam-6711	190	25	ϱ1	ϱ1	PROPN
ejpam-6711	190	26	ϱ2	ϱ2	NOUN
ejpam-6711	190	27	−α2	−α2	PROPN
ejpam-6711	190	28	−	−	PROPN
ejpam-6711	190	29	µ	µ	X
ejpam-6711	190	30			NUM
ejpam-6711	190	31	(	(	PUNCT
ejpam-6711	190	32	5.15	5.15	NUM
ejpam-6711	190	33	)	)	PUNCT
ejpam-6711	190	34	replace	replace	NOUN
ejpam-6711	190	35	sd	sd	NOUN
ejpam-6711	190	36	=	=	PUNCT
ejpam-6711	190	37	s∗	s∗	PROPN
ejpam-6711	190	38	d	d	NOUN
ejpam-6711	190	39	and	and	CCONJ
ejpam-6711	190	40	si	si	PROPN
ejpam-6711	190	41	=	=	NOUN
ejpam-6711	190	42	s∗	s∗	PROPN
ejpam-6711	191	1	i	i	PRON
ejpam-6711	191	2	yn	yn	PROPN
ejpam-6711	191	3	(	(	PUNCT
ejpam-6711	191	4	ˆsd	ˆsd	PROPN
ejpam-6711	191	5	,	,	PUNCT
ejpam-6711	191	6	si	si	NOUN
ejpam-6711	191	7	)	)	PUNCT
ejpam-6711	191	8	=	=	SYM
ejpam-6711	191	9			NOUN
ejpam-6711	191	10	η	η	PROPN
ejpam-6711	191	11	β1s∗	β1s∗	PROPN
ejpam-6711	191	12	i	i	PRON
ejpam-6711	191	13	n	n	VERB
ejpam-6711	191	14	+	+	NUM
ejpam-6711	191	15	β1s∗	β1s∗	NOUN
ejpam-6711	192	1	d	d	NOUN
ejpam-6711	192	2	n	n	CCONJ
ejpam-6711	192	3	−	−	PROPN
ejpam-6711	192	4	φ−	φ−	PROPN
ejpam-6711	192	5	µ	µ	X
ejpam-6711	192	6	0	0	NUM
ejpam-6711	192	7	0	0	NUM
ejpam-6711	192	8	0	0	NUM
ejpam-6711	192	9	0	0	NUM
ejpam-6711	192	10	φ	φ	NUM
ejpam-6711	192	11	−	−	PROPN
ejpam-6711	192	12	(	(	PUNCT
ejpam-6711	192	13	1−	1−	NUM
ejpam-6711	192	14	γ)σ	γ)σ	NOUN
ejpam-6711	192	15	−	−	PROPN
ejpam-6711	192	16	γ	γ	PROPN
ejpam-6711	192	17	σ	σ	PROPN
ejpam-6711	192	18	−	−	PROPN
ejpam-6711	192	19	µ−	µ−	PROPN
ejpam-6711	192	20	ω1	ω1	PROPN
ejpam-6711	192	21	−	−	PROPN
ejpam-6711	192	22	ϕ	ϕ	PROPN
ejpam-6711	192	23	α3	α3	PROPN
ejpam-6711	192	24	0	0	NUM
ejpam-6711	192	25	α2	α2	ADJ
ejpam-6711	192	26	0	0	NUM
ejpam-6711	193	1	(	(	PUNCT
ejpam-6711	193	2	1−	1−	NUM
ejpam-6711	193	3	γ)σ	γ)σ	NOUN
ejpam-6711	193	4	−α3	−α3	PROPN
ejpam-6711	193	5	−	−	PROPN
ejpam-6711	193	6	λ1	λ1	ADJ
ejpam-6711	193	7	−	−	PROPN
ejpam-6711	193	8	ϱ1	ϱ1	PROPN
ejpam-6711	193	9	−	−	PROPN
ejpam-6711	193	10	µ	µ	NOUN
ejpam-6711	193	11	λ1	λ1	ADJ
ejpam-6711	193	12	0	0	NUM
ejpam-6711	193	13	0	0	NUM
ejpam-6711	193	14	γ	γ	PROPN
ejpam-6711	193	15	σ	σ	PROPN
ejpam-6711	193	16	λ1	λ1	PROPN
ejpam-6711	193	17	−λ1	−λ1	PROPN
ejpam-6711	193	18	−	−	PROPN
ejpam-6711	193	19	ϱ2	ϱ2	PROPN
ejpam-6711	193	20	−	−	PROPN
ejpam-6711	193	21	µ	µ	PROPN
ejpam-6711	193	22	0	0	NUM
ejpam-6711	193	23	0	0	NUM
ejpam-6711	193	24	ϕ	ϕ	PROPN
ejpam-6711	193	25	ϱ1	ϱ1	PROPN
ejpam-6711	193	26	ϱ2	ϱ2	NOUN
ejpam-6711	193	27	−α2	−α2	PROPN
ejpam-6711	193	28	−	−	PROPN
ejpam-6711	193	29	µ	µ	X
ejpam-6711	193	30			NUM
ejpam-6711	193	31	(	(	PUNCT
ejpam-6711	193	32	5.16	5.16	NUM
ejpam-6711	193	33	)	)	PUNCT
ejpam-6711	193	34	ḡ(xn	ḡ(xn	PROPN
ejpam-6711	193	35	,	,	PUNCT
ejpam-6711	193	36	yn	yn	PROPN
ejpam-6711	193	37	)	)	PUNCT
ejpam-6711	193	38	=	=	SYM
ejpam-6711	193	39			PROPN
ejpam-6711	193	40	η	η	PROPN
ejpam-6711	193	41	β1psi	β1psi	PROPN
ejpam-6711	193	42	n	n	PROPN
ejpam-6711	193	43	+	+	CCONJ
ejpam-6711	193	44	β1psd	β1psd	PROPN
ejpam-6711	193	45	n	n	PRON
ejpam-6711	193	46	−	−	PROPN
ejpam-6711	193	47	(	(	PUNCT
ejpam-6711	193	48	φ+	φ+	NOUN
ejpam-6711	193	49	µ)p	µ)p	NOUN
ejpam-6711	193	50	φp	φp	ADP
ejpam-6711	193	51	+	+	X
ejpam-6711	193	52	α3id	α3id	PUNCT
ejpam-6711	193	53	tp	tp	ADP
ejpam-6711	193	54	n	n	PROPN
ejpam-6711	193	55	+	+	CCONJ
ejpam-6711	193	56	α2id	α2id	NUM
ejpam-6711	193	57	r	r	NOUN
ejpam-6711	193	58	n	n	ADV
ejpam-6711	193	59	−	−	PROPN
ejpam-6711	193	60	(	(	PUNCT
ejpam-6711	193	61	(	(	PUNCT
ejpam-6711	193	62	1−	1−	NUM
ejpam-6711	193	63	γ)σ	γ)σ	NOUN
ejpam-6711	193	64	+	+	CCONJ
ejpam-6711	193	65	γ	γ	X
ejpam-6711	193	66	σ	σ	PROPN
ejpam-6711	193	67	+	+	PROPN
ejpam-6711	193	68	µ+	µ+	PROPN
ejpam-6711	193	69	ω1	ω1	PROPN
ejpam-6711	193	70	+	+	CCONJ
ejpam-6711	193	71	ϕ	ϕ	NOUN
ejpam-6711	193	72	)	)	PUNCT
ejpam-6711	193	73	i	i	PROPN
ejpam-6711	193	74	d	d	PROPN
ejpam-6711	193	75	(	(	PUNCT
ejpam-6711	193	76	1−	1−	NUM
ejpam-6711	193	77	γ)σ	γ)σ	NOUN
ejpam-6711	193	78	i	i	NOUN
ejpam-6711	193	79	d	d	PROPN
ejpam-6711	193	80	+	+	CCONJ
ejpam-6711	193	81	λ1th	λ1th	PUNCT
ejpam-6711	193	82	−	−	PROPN
ejpam-6711	193	83	(	(	PUNCT
ejpam-6711	193	84	α3	α3	NOUN
ejpam-6711	193	85	+	+	CCONJ
ejpam-6711	193	86	λ1	λ1	ADJ
ejpam-6711	193	87	+	+	CCONJ
ejpam-6711	193	88	ϱ1	ϱ1	NOUN
ejpam-6711	193	89	+	+	CCONJ
ejpam-6711	193	90	µ)tp	µ)tp	PROPN
ejpam-6711	193	91	γ	γ	PROPN
ejpam-6711	193	92	σ	σ	PROPN
ejpam-6711	193	93	i	i	PROPN
ejpam-6711	193	94	d	d	PROPN
ejpam-6711	193	95	+	+	NUM
ejpam-6711	193	96	λ1tp	λ1tp	NOUN
ejpam-6711	193	97	−	−	X
ejpam-6711	193	98	(	(	PUNCT
ejpam-6711	193	99	λ1	λ1	ADJ
ejpam-6711	193	100	+	+	X
ejpam-6711	193	101	ϱ2	ϱ2	PROPN
ejpam-6711	193	102	+	+	PROPN
ejpam-6711	193	103	µ)th	µ)th	PROPN
ejpam-6711	193	104	ϕ	ϕ	PROPN
ejpam-6711	193	105	i	i	PROPN
ejpam-6711	193	106	d	d	PROPN
ejpam-6711	193	107	+	+	NUM
ejpam-6711	193	108	ϱ2th	ϱ2th	PUNCT
ejpam-6711	193	109	+	+	NUM
ejpam-6711	193	110	ϱ1tp	ϱ1tp	NUM
ejpam-6711	193	111	−	−	NOUN
ejpam-6711	193	112	(	(	PUNCT
ejpam-6711	193	113	α2	α2	ADJ
ejpam-6711	193	114	+	+	CCONJ
ejpam-6711	193	115	µ)r	µ)r	NOUN
ejpam-6711	193	116			NUM
ejpam-6711	193	117	(	(	PUNCT
ejpam-6711	193	118	5.17	5.17	NUM
ejpam-6711	193	119	)	)	PUNCT
ejpam-6711	193	120	aun	aun	NOUN
ejpam-6711	193	121	−	−	PROPN
ejpam-6711	193	122	yn	yn	PROPN
ejpam-6711	193	123	(	(	PUNCT
ejpam-6711	193	124	ˆsd	ˆsd	PROPN
ejpam-6711	193	125	,	,	PUNCT
ejpam-6711	193	126	si	si	NOUN
ejpam-6711	193	127	)	)	PUNCT
ejpam-6711	193	128	=	=	PUNCT
ejpam-6711	193	129			NOUN
ejpam-6711	193	130	(	(	PUNCT
ejpam-6711	193	131	(	(	PUNCT
ejpam-6711	193	132	s∗	s∗	PROPN
ejpam-6711	193	133	i	i	PRON
ejpam-6711	193	134	−si)η−(s∗	−si)η−(s∗	NOUN
ejpam-6711	193	135	d−sd	d−sd	PROPN
ejpam-6711	193	136	)	)	PUNCT
ejpam-6711	193	137	)	)	PUNCT
ejpam-6711	193	138	β1p	β1p	PROPN
ejpam-6711	193	139	n	n	CCONJ
ejpam-6711	193	140	(	(	PUNCT
ejpam-6711	193	141	rα2+tp	rα2+tp	VERB
ejpam-6711	193	142	α3)(n−id	α3)(n−id	NOUN
ejpam-6711	193	143	)	)	PUNCT
ejpam-6711	193	144	n	n	CCONJ
ejpam-6711	193	145	0	0	NUM
ejpam-6711	193	146	0	0	NUM
ejpam-6711	193	147	0	0	NUM
ejpam-6711	193	148			NOUN
ejpam-6711	193	149	(	(	PUNCT
ejpam-6711	193	150	5.18	5.18	NUM
ejpam-6711	193	151	)	)	PUNCT
ejpam-6711	193	152	l.	l.	PROPN
ejpam-6711	193	153	yaseen	yaseen	PROPN
ejpam-6711	193	154	et	et	PROPN
ejpam-6711	193	155	al	al	PROPN
ejpam-6711	193	156	.	.	PUNCT
ejpam-6711	193	157	/	/	SYM
ejpam-6711	193	158	eur	eur	PROPN
ejpam-6711	193	159	.	.	PUNCT
ejpam-6711	194	1	j.	j.	PROPN
ejpam-6711	194	2	pure	pure	PROPN
ejpam-6711	194	3	appl	appl	PROPN
ejpam-6711	194	4	.	.	PROPN
ejpam-6711	194	5	math	math	PROPN
ejpam-6711	194	6	,	,	PUNCT
ejpam-6711	194	7	18	18	NUM
ejpam-6711	194	8	(	(	PUNCT
ejpam-6711	194	9	4	4	NUM
ejpam-6711	194	10	)	)	PUNCT
ejpam-6711	194	11	(	(	PUNCT
ejpam-6711	194	12	2025	2025	NUM
ejpam-6711	194	13	)	)	PUNCT
ejpam-6711	194	14	,	,	PUNCT
ejpam-6711	194	15	6711	6711	NUM
ejpam-6711	194	16	13	13	NUM
ejpam-6711	194	17	of	of	ADP
ejpam-6711	194	18	29	29	NUM
ejpam-6711	194	19	this	this	PRON
ejpam-6711	194	20	shows	show	VERB
ejpam-6711	194	21	that	that	SCONJ
ejpam-6711	194	22	,	,	PUNCT
ejpam-6711	194	23	yn	yn	PROPN
ejpam-6711	194	24	(	(	PUNCT
ejpam-6711	194	25	ˆsd	ˆsd	PROPN
ejpam-6711	194	26	,	,	PUNCT
ejpam-6711	194	27	si	si	NOUN
ejpam-6711	194	28	)	)	PUNCT
ejpam-6711	194	29	,	,	PUNCT
ejpam-6711	194	30	where	where	SCONJ
ejpam-6711	194	31	un	un	PROPN
ejpam-6711	194	32	represent	represent	VERB
ejpam-6711	194	33	an	an	DET
ejpam-6711	194	34	m	m	NOUN
ejpam-6711	194	35	matrix	matrix	NOUN
ejpam-6711	194	36	,	,	PUNCT
ejpam-6711	194	37	it	it	PRON
ejpam-6711	194	38	contains	contain	VERB
ejpam-6711	194	39	a	a	DET
ejpam-6711	194	40	non	non	ADJ
ejpam-6711	194	41	-	-	ADJ
ejpam-6711	194	42	negative	negative	ADJ
ejpam-6711	194	43	off	off	ADP
ejpam-6711	194	44	-	-	PUNCT
ejpam-6711	194	45	diagonal	diagonal	ADJ
ejpam-6711	194	46	element	element	NOUN
ejpam-6711	194	47	.	.	PUNCT
ejpam-6711	195	1	therefore	therefore	ADV
ejpam-6711	195	2	,	,	PUNCT
ejpam-6711	195	3	the	the	DET
ejpam-6711	195	4	conditions	condition	NOUN
ejpam-6711	195	5	1	1	NUM
ejpam-6711	195	6	and	and	CCONJ
ejpam-6711	195	7	2	2	NUM
ejpam-6711	195	8	are	be	AUX
ejpam-6711	195	9	satisfied	satisfied	ADJ
ejpam-6711	195	10	,	,	PUNCT
ejpam-6711	195	11	so	so	ADV
ejpam-6711	195	12	the	the	DET
ejpam-6711	195	13	drug	drug	NOUN
ejpam-6711	195	14	freeequilibrium	freeequilibrium	NOUN
ejpam-6711	195	15	(	(	PUNCT
ejpam-6711	195	16	dfe	dfe	PROPN
ejpam-6711	195	17	)	)	PUNCT
ejpam-6711	195	18	globally	globally	ADV
ejpam-6711	195	19	asymptotically	asymptotically	ADV
ejpam-6711	195	20	stable	stable	ADJ
ejpam-6711	195	21	if	if	SCONJ
ejpam-6711	195	22	r0	r0	NOUN
ejpam-6711	195	23	<	<	X
ejpam-6711	195	24	1	1	NUM
ejpam-6711	195	25	.	.	PUNCT
ejpam-6711	196	1	here	here	ADV
ejpam-6711	196	2	is	be	AUX
ejpam-6711	196	3	the	the	DET
ejpam-6711	196	4	complete	complete	ADJ
ejpam-6711	196	5	proof	proof	NOUN
ejpam-6711	196	6	.	.	PUNCT
ejpam-6711	197	1	5.3	5.3	NUM
ejpam-6711	197	2	.	.	PUNCT
ejpam-6711	197	3	sensitivity	sensitivity	NOUN
ejpam-6711	197	4	analysis	analysis	NOUN
ejpam-6711	197	5	we	we	PRON
ejpam-6711	197	6	conduct	conduct	VERB
ejpam-6711	197	7	a	a	DET
ejpam-6711	197	8	sensitivity	sensitivity	NOUN
ejpam-6711	197	9	analysis	analysis	NOUN
ejpam-6711	197	10	to	to	PART
ejpam-6711	197	11	quantify	quantify	VERB
ejpam-6711	197	12	how	how	SCONJ
ejpam-6711	197	13	variations	variation	NOUN
ejpam-6711	197	14	in	in	ADP
ejpam-6711	197	15	model	model	NOUN
ejpam-6711	197	16	parameters	parameter	NOUN
ejpam-6711	197	17	influence	influence	VERB
ejpam-6711	197	18	the	the	DET
ejpam-6711	197	19	basic	basic	ADJ
ejpam-6711	197	20	reproduction	reproduction	NOUN
ejpam-6711	197	21	number	number	NOUN
ejpam-6711	197	22	r0	r0	NOUN
ejpam-6711	198	1	[	[	X
ejpam-6711	198	2	27	27	NUM
ejpam-6711	198	3	]	]	PUNCT
ejpam-6711	198	4	.	.	PUNCT
ejpam-6711	199	1	using	use	VERB
ejpam-6711	199	2	the	the	DET
ejpam-6711	199	3	normalized	normalize	VERB
ejpam-6711	199	4	forward	forward	ADJ
ejpam-6711	199	5	sensitivity	sensitivity	NOUN
ejpam-6711	199	6	index	index	NOUN
ejpam-6711	199	7	:	:	PUNCT
ejpam-6711	199	8	γθ	γθ	PROPN
ejpam-6711	199	9	=	=	PUNCT
ejpam-6711	200	1	∂r0	∂r0	PROPN
ejpam-6711	200	2	∂θ	∂θ	PROPN
ejpam-6711	200	3	×	×	NOUN
ejpam-6711	200	4	θ	θ	NOUN
ejpam-6711	200	5	r0	r0	NOUN
ejpam-6711	200	6	,	,	PUNCT
ejpam-6711	200	7	we	we	PRON
ejpam-6711	200	8	assess	assess	VERB
ejpam-6711	200	9	the	the	DET
ejpam-6711	200	10	relative	relative	ADJ
ejpam-6711	200	11	impact	impact	NOUN
ejpam-6711	200	12	of	of	ADP
ejpam-6711	200	13	each	each	DET
ejpam-6711	200	14	parameter	parameter	NOUN
ejpam-6711	200	15	θ	θ	PROPN
ejpam-6711	200	16	on	on	ADP
ejpam-6711	200	17	r0	r0	NOUN
ejpam-6711	200	18	.	.	PUNCT
ejpam-6711	201	1	positive	positive	ADJ
ejpam-6711	201	2	indices	index	NOUN
ejpam-6711	201	3	indicate	indicate	VERB
ejpam-6711	201	4	parameters	parameter	NOUN
ejpam-6711	201	5	that	that	PRON
ejpam-6711	201	6	increase	increase	VERB
ejpam-6711	201	7	r0	r0	NOUN
ejpam-6711	201	8	when	when	SCONJ
ejpam-6711	201	9	raised	raise	VERB
ejpam-6711	201	10	,	,	PUNCT
ejpam-6711	201	11	while	while	SCONJ
ejpam-6711	201	12	negative	negative	ADJ
ejpam-6711	201	13	indices	index	NOUN
ejpam-6711	201	14	correspond	correspond	VERB
ejpam-6711	201	15	to	to	ADP
ejpam-6711	201	16	reducing	reduce	VERB
ejpam-6711	201	17	effects	effect	NOUN
ejpam-6711	201	18	.	.	PUNCT
ejpam-6711	202	1	transmission	transmission	NOUN
ejpam-6711	202	2	rate	rate	NOUN
ejpam-6711	202	3	(	(	PUNCT
ejpam-6711	202	4	β1	β1	NOUN
ejpam-6711	202	5	):	):	PUNCT
ejpam-6711	202	6	γβ1	γβ1	PROPN
ejpam-6711	202	7	=	=	SYM
ejpam-6711	202	8	1	1	NUM
ejpam-6711	202	9	>	>	SYM
ejpam-6711	202	10	0	0	X
ejpam-6711	202	11	.	.	PUNCT
ejpam-6711	202	12	recruitment	recruitment	NOUN
ejpam-6711	202	13	proportion	proportion	NOUN
ejpam-6711	202	14	(	(	PUNCT
ejpam-6711	202	15	∆	∆	X
ejpam-6711	202	16	):	):	PUNCT
ejpam-6711	202	17	γ∆	γ∆	NOUN
ejpam-6711	202	18	=	=	SYM
ejpam-6711	202	19	(	(	PUNCT
ejpam-6711	202	20	η	η	PROPN
ejpam-6711	202	21	−	−	PROPN
ejpam-6711	202	22	1)µ∆	1)µ∆	NUM
ejpam-6711	202	23	[	[	X
ejpam-6711	202	24	(	(	PUNCT
ejpam-6711	202	25	∆−	∆−	NOUN
ejpam-6711	202	26	1)µ−	1)µ−	NUM
ejpam-6711	202	27	δ1	δ1	NOUN
ejpam-6711	202	28	]	]	PUNCT
ejpam-6711	202	29	η	η	PROPN
ejpam-6711	202	30	−∆µ−	−∆µ−	PROPN
ejpam-6711	202	31	δ2	δ2	VERB
ejpam-6711	202	32	>	>	X
ejpam-6711	202	33	0	0	X
ejpam-6711	202	34	.	.	PUNCT
ejpam-6711	202	35	relative	relative	ADJ
ejpam-6711	202	36	infectivity	infectivity	NOUN
ejpam-6711	202	37	(	(	PUNCT
ejpam-6711	202	38	η	η	NOUN
ejpam-6711	202	39	):	):	PUNCT
ejpam-6711	202	40	γη	γη	X
ejpam-6711	202	41	=	=	PUNCT
ejpam-6711	203	1	[	[	X
ejpam-6711	203	2	(	(	PUNCT
ejpam-6711	203	3	∆−	∆−	NOUN
ejpam-6711	203	4	1)µ−	1)µ−	NUM
ejpam-6711	203	5	δ1	δ1	NOUN
ejpam-6711	203	6	]	]	PUNCT
ejpam-6711	203	7	η	η	PROPN
ejpam-6711	203	8	[	[	X
ejpam-6711	203	9	(	(	PUNCT
ejpam-6711	203	10	∆−	∆−	NOUN
ejpam-6711	203	11	1)η	1)η	INTJ
ejpam-6711	203	12	−∆]µ−	−∆]µ−	PROPN
ejpam-6711	203	13	ηδ1	ηδ1	VERB
ejpam-6711	203	14	−	−	NOUN
ejpam-6711	203	15	δ2	δ2	ADJ
ejpam-6711	203	16	>	>	X
ejpam-6711	203	17	0	0	X
ejpam-6711	203	18	.	.	PUNCT
ejpam-6711	203	19	natural	natural	ADJ
ejpam-6711	203	20	mortality	mortality	NOUN
ejpam-6711	203	21	(	(	PUNCT
ejpam-6711	203	22	µ	µ	NOUN
ejpam-6711	203	23	):	):	PUNCT
ejpam-6711	203	24	γµ	γµ	PROPN
ejpam-6711	203	25	=	=	SYM
ejpam-6711	203	26	−	−	PROPN
ejpam-6711	203	27	µ	µ	X
ejpam-6711	203	28	(	(	PUNCT
ejpam-6711	203	29	n1η	n1η	PROPN
ejpam-6711	203	30	−n2	−n2	PROPN
ejpam-6711	203	31	)	)	PUNCT
ejpam-6711	203	32	(	(	PUNCT
ejpam-6711	203	33	µ+	µ+	X
ejpam-6711	203	34	δ1	δ1	NOUN
ejpam-6711	203	35	+	+	CCONJ
ejpam-6711	203	36	δ2)(φ+	δ2)(φ+	NOUN
ejpam-6711	203	37	µ)d	µ)d	PUNCT
ejpam-6711	203	38	<	<	X
ejpam-6711	203	39	0	0	X
ejpam-6711	203	40	.	.	PUNCT
ejpam-6711	203	41	wheren1	wheren1	PROPN
ejpam-6711	203	42	andn2	andn2	PROPN
ejpam-6711	203	43	represent	represent	VERB
ejpam-6711	203	44	numerator	numerator	NOUN
ejpam-6711	203	45	terms	term	NOUN
ejpam-6711	203	46	from	from	ADP
ejpam-6711	203	47	the	the	DET
ejpam-6711	203	48	original	original	ADJ
ejpam-6711	203	49	expression	expression	NOUN
ejpam-6711	203	50	.	.	PUNCT
ejpam-6711	204	1	higher	high	ADJ
ejpam-6711	204	2	mortality	mortality	NOUN
ejpam-6711	204	3	reduces	reduce	VERB
ejpam-6711	204	4	r0	r0	NOUN
ejpam-6711	204	5	through	through	ADP
ejpam-6711	204	6	population	population	NOUN
ejpam-6711	204	7	turnover	turnover	NOUN
ejpam-6711	204	8	.	.	PUNCT
ejpam-6711	205	1	progression	progression	NOUN
ejpam-6711	205	2	rate	rate	NOUN
ejpam-6711	205	3	(	(	PUNCT
ejpam-6711	205	4	φ	φ	PROPN
ejpam-6711	205	5	):	):	PUNCT
ejpam-6711	205	6	γφ	γφ	PROPN
ejpam-6711	205	7	=	=	PUNCT
ejpam-6711	205	8	−	−	PROPN
ejpam-6711	205	9	φ	φ	PROPN
ejpam-6711	205	10	φ+	φ+	X
ejpam-6711	205	11	µ	µ	X
ejpam-6711	205	12	<	<	X
ejpam-6711	205	13	0	0	NUM
ejpam-6711	205	14	.	.	PUNCT
ejpam-6711	205	15	transition	transition	NOUN
ejpam-6711	205	16	rates	rate	NOUN
ejpam-6711	205	17	(	(	PUNCT
ejpam-6711	205	18	δ1	δ1	NOUN
ejpam-6711	205	19	,	,	PUNCT
ejpam-6711	205	20	δ2	δ2	ADV
ejpam-6711	205	21	):	):	PUNCT
ejpam-6711	205	22	γδ1	γδ1	PROPN
ejpam-6711	205	23	=	=	PROPN
ejpam-6711	205	24	−δ1(η	−δ1(η	PROPN
ejpam-6711	205	25	−	−	PROPN
ejpam-6711	205	26	1)(∆µ+	1)(∆µ+	NUM
ejpam-6711	205	27	δ2	δ2	VERB
ejpam-6711	205	28	)	)	PUNCT
ejpam-6711	205	29	(	(	PUNCT
ejpam-6711	205	30	µ+	µ+	X
ejpam-6711	205	31	δ1	δ1	NOUN
ejpam-6711	205	32	+	+	CCONJ
ejpam-6711	205	33	δ2)d	δ2)d	VERB
ejpam-6711	205	34	<	<	X
ejpam-6711	205	35	0	0	NUM
ejpam-6711	205	36	,	,	PUNCT
ejpam-6711	205	37	γδ2	γδ2	ADP
ejpam-6711	205	38	=	=	SYM
ejpam-6711	205	39	−δ2[(∆−	−δ2[(∆−	PROPN
ejpam-6711	205	40	1)µ−	1)µ−	NUM
ejpam-6711	205	41	δ1](η	δ1](η	PROPN
ejpam-6711	205	42	−	−	PROPN
ejpam-6711	205	43	1	1	NUM
ejpam-6711	205	44	)	)	PUNCT
ejpam-6711	205	45	(	(	PUNCT
ejpam-6711	205	46	µ+	µ+	X
ejpam-6711	205	47	δ1	δ1	NOUN
ejpam-6711	205	48	+	+	CCONJ
ejpam-6711	205	49	δ2)d	δ2)d	VERB
ejpam-6711	205	50	<	<	X
ejpam-6711	205	51	0	0	NUM
ejpam-6711	205	52	.	.	PUNCT
ejpam-6711	206	1	where	where	SCONJ
ejpam-6711	206	2	d	d	NOUN
ejpam-6711	206	3	=	=	SYM
ejpam-6711	207	1	[	[	X
ejpam-6711	207	2	(	(	PUNCT
ejpam-6711	207	3	∆−	∆−	NOUN
ejpam-6711	207	4	1)η	1)η	INTJ
ejpam-6711	207	5	−∆]µ−	−∆]µ−	PROPN
ejpam-6711	207	6	ηδ1	ηδ1	VERB
ejpam-6711	207	7	−	−	PROPN
ejpam-6711	207	8	δ2	δ2	VERB
ejpam-6711	207	9	.	.	PUNCT
ejpam-6711	208	1	both	both	DET
ejpam-6711	208	2	rates	rate	NOUN
ejpam-6711	208	3	show	show	VERB
ejpam-6711	208	4	context	context	NOUN
ejpam-6711	208	5	-	-	PUNCT
ejpam-6711	208	6	dependent	dependent	ADJ
ejpam-6711	208	7	effects	effect	NOUN
ejpam-6711	208	8	based	base	VERB
ejpam-6711	208	9	on	on	ADP
ejpam-6711	208	10	η	η	PROPN
ejpam-6711	208	11	values	value	NOUN
ejpam-6711	208	12	.	.	PUNCT
ejpam-6711	209	1	l.	l.	PROPN
ejpam-6711	209	2	yaseen	yaseen	PROPN
ejpam-6711	209	3	et	et	PROPN
ejpam-6711	209	4	al	al	PROPN
ejpam-6711	209	5	.	.	PUNCT
ejpam-6711	209	6	/	/	SYM
ejpam-6711	209	7	eur	eur	PROPN
ejpam-6711	209	8	.	.	PUNCT
ejpam-6711	210	1	j.	j.	PROPN
ejpam-6711	210	2	pure	pure	PROPN
ejpam-6711	210	3	appl	appl	PROPN
ejpam-6711	210	4	.	.	PROPN
ejpam-6711	210	5	math	math	PROPN
ejpam-6711	210	6	,	,	PUNCT
ejpam-6711	210	7	18	18	NUM
ejpam-6711	210	8	(	(	PUNCT
ejpam-6711	210	9	4	4	NUM
ejpam-6711	210	10	)	)	PUNCT
ejpam-6711	210	11	(	(	PUNCT
ejpam-6711	210	12	2025	2025	NUM
ejpam-6711	210	13	)	)	PUNCT
ejpam-6711	210	14	,	,	PUNCT
ejpam-6711	210	15	6711	6711	NUM
ejpam-6711	210	16	14	14	NUM
ejpam-6711	210	17	of	of	ADP
ejpam-6711	210	18	29	29	NUM
ejpam-6711	210	19	1	1	NUM
ejpam-6711	210	20	1	1	NUM
ejpam-6711	210	21	2	2	NUM
ejpam-6711	210	22	model	model	NOUN
ejpam-6711	210	23	parameters	parameter	NOUN
ejpam-6711	210	24	1.00	1.00	NUM
ejpam-6711	210	25	0.75	0.75	NUM
ejpam-6711	210	26	0.50	0.50	NUM
ejpam-6711	210	27	0.25	0.25	NUM
ejpam-6711	210	28	0.00	0.00	NUM
ejpam-6711	210	29	0.25	0.25	NUM
ejpam-6711	210	30	0.50	0.50	NUM
ejpam-6711	210	31	0.75	0.75	NUM
ejpam-6711	210	32	1.00	1.00	NUM
ejpam-6711	210	33	se	se	X
ejpam-6711	210	34	ns	ns	PROPN
ejpam-6711	211	1	iti	iti	PROPN
ejpam-6711	211	2	vi	vi	NOUN
ejpam-6711	211	3	ty	ty	INTJ
ejpam-6711	211	4	in	in	ADP
ejpam-6711	211	5	de	de	X
ejpam-6711	211	6	x	x	X
ejpam-6711	211	7	(	(	PUNCT
ejpam-6711	211	8	)	)	PUNCT
ejpam-6711	211	9	1.00	1.00	NUM
ejpam-6711	211	10	0.05	0.05	NUM
ejpam-6711	211	11	0.17	0.17	NUM
ejpam-6711	211	12	-0.30	-0.30	PUNCT
ejpam-6711	211	13	-0.91	-0.91	NUM
ejpam-6711	211	14	-0.30	-0.30	VERB
ejpam-6711	211	15	-0.30	-0.30	ADJ
ejpam-6711	211	16	figure	figure	NOUN
ejpam-6711	211	17	3	3	NUM
ejpam-6711	211	18	:	:	PUNCT
ejpam-6711	211	19	sensitivity	sensitivity	NOUN
ejpam-6711	211	20	indices	index	NOUN
ejpam-6711	211	21	of	of	ADP
ejpam-6711	211	22	r0	r0	NOUN
ejpam-6711	211	23	for	for	ADP
ejpam-6711	211	24	key	key	ADJ
ejpam-6711	211	25	model	model	NOUN
ejpam-6711	211	26	parameters	parameter	NOUN
ejpam-6711	211	27	,	,	PUNCT
ejpam-6711	211	28	showing	show	VERB
ejpam-6711	211	29	their	their	PRON
ejpam-6711	211	30	relative	relative	ADJ
ejpam-6711	211	31	impact	impact	NOUN
ejpam-6711	211	32	on	on	ADP
ejpam-6711	211	33	disease	disease	NOUN
ejpam-6711	211	34	transmission	transmission	NOUN
ejpam-6711	211	35	this	this	DET
ejpam-6711	211	36	figure	figure	NOUN
ejpam-6711	211	37	3	3	NUM
ejpam-6711	211	38	presents	present	VERB
ejpam-6711	211	39	the	the	DET
ejpam-6711	211	40	normalized	normalized	ADJ
ejpam-6711	211	41	sensitivity	sensitivity	NOUN
ejpam-6711	211	42	indices	index	NOUN
ejpam-6711	211	43	of	of	ADP
ejpam-6711	211	44	the	the	DET
ejpam-6711	211	45	basic	basic	ADJ
ejpam-6711	211	46	reproduction	reproduction	NOUN
ejpam-6711	211	47	number	number	NOUN
ejpam-6711	211	48	r0	r0	NOUN
ejpam-6711	211	49	with	with	ADP
ejpam-6711	211	50	respect	respect	NOUN
ejpam-6711	211	51	to	to	ADP
ejpam-6711	211	52	key	key	ADJ
ejpam-6711	211	53	model	model	NOUN
ejpam-6711	211	54	parameters	parameter	NOUN
ejpam-6711	211	55	.	.	PUNCT
ejpam-6711	212	1	the	the	DET
ejpam-6711	212	2	height	height	NOUN
ejpam-6711	212	3	and	and	CCONJ
ejpam-6711	212	4	color	color	NOUN
ejpam-6711	212	5	of	of	ADP
ejpam-6711	212	6	each	each	DET
ejpam-6711	212	7	bar	bar	NOUN
ejpam-6711	212	8	indicate	indicate	VERB
ejpam-6711	212	9	the	the	DET
ejpam-6711	212	10	magnitude	magnitude	NOUN
ejpam-6711	212	11	and	and	CCONJ
ejpam-6711	212	12	direction	direction	NOUN
ejpam-6711	212	13	of	of	ADP
ejpam-6711	212	14	each	each	DET
ejpam-6711	212	15	parameter	parameter	NOUN
ejpam-6711	212	16	’s	’s	PART
ejpam-6711	212	17	influence	influence	NOUN
ejpam-6711	212	18	on	on	ADP
ejpam-6711	212	19	r0	r0	NOUN
ejpam-6711	212	20	.	.	PUNCT
ejpam-6711	213	1	the	the	DET
ejpam-6711	213	2	parameter	parameter	NOUN
ejpam-6711	213	3	β1	β1	PROPN
ejpam-6711	213	4	has	have	VERB
ejpam-6711	213	5	the	the	DET
ejpam-6711	213	6	highest	high	ADJ
ejpam-6711	213	7	positive	positive	ADJ
ejpam-6711	213	8	sensitivity	sensitivity	NOUN
ejpam-6711	213	9	index	index	NOUN
ejpam-6711	213	10	(	(	PUNCT
ejpam-6711	213	11	1.00	1.00	NUM
ejpam-6711	213	12	)	)	PUNCT
ejpam-6711	213	13	,	,	PUNCT
ejpam-6711	213	14	showing	show	VERB
ejpam-6711	213	15	that	that	SCONJ
ejpam-6711	213	16	increasing	increase	VERB
ejpam-6711	213	17	it	it	PRON
ejpam-6711	213	18	will	will	AUX
ejpam-6711	213	19	most	most	ADV
ejpam-6711	213	20	strongly	strongly	ADV
ejpam-6711	213	21	raise	raise	VERB
ejpam-6711	213	22	r0	r0	NOUN
ejpam-6711	213	23	.	.	PUNCT
ejpam-6711	214	1	parameters	parameter	NOUN
ejpam-6711	214	2	∆	∆	PROPN
ejpam-6711	214	3	and	and	CCONJ
ejpam-6711	214	4	η	η	PROPN
ejpam-6711	214	5	also	also	ADV
ejpam-6711	214	6	have	have	VERB
ejpam-6711	214	7	positive	positive	ADJ
ejpam-6711	214	8	but	but	CCONJ
ejpam-6711	214	9	smaller	small	ADJ
ejpam-6711	214	10	effects	effect	NOUN
ejpam-6711	214	11	,	,	PUNCT
ejpam-6711	214	12	suggesting	suggest	VERB
ejpam-6711	214	13	that	that	SCONJ
ejpam-6711	214	14	their	their	PRON
ejpam-6711	214	15	increase	increase	NOUN
ejpam-6711	214	16	slightly	slightly	ADV
ejpam-6711	214	17	raises	raise	VERB
ejpam-6711	214	18	r0	r0	NOUN
ejpam-6711	214	19	.	.	PUNCT
ejpam-6711	215	1	in	in	ADP
ejpam-6711	215	2	contrast	contrast	NOUN
ejpam-6711	215	3	,	,	PUNCT
ejpam-6711	215	4	µ	µ	NUM
ejpam-6711	215	5	,	,	PUNCT
ejpam-6711	215	6	φ	φ	PROPN
ejpam-6711	215	7	,	,	PUNCT
ejpam-6711	215	8	δ1	δ1	NOUN
ejpam-6711	215	9	,	,	PUNCT
ejpam-6711	215	10	and	and	CCONJ
ejpam-6711	215	11	δ2	δ2	VERB
ejpam-6711	215	12	have	have	VERB
ejpam-6711	215	13	negative	negative	ADJ
ejpam-6711	215	14	sensitivity	sensitivity	NOUN
ejpam-6711	215	15	indices	index	NOUN
ejpam-6711	215	16	,	,	PUNCT
ejpam-6711	215	17	meaning	mean	VERB
ejpam-6711	215	18	that	that	SCONJ
ejpam-6711	215	19	increasing	increase	VERB
ejpam-6711	215	20	these	these	DET
ejpam-6711	215	21	parameters	parameter	NOUN
ejpam-6711	215	22	will	will	AUX
ejpam-6711	215	23	reduce	reduce	VERB
ejpam-6711	215	24	r0	r0	NOUN
ejpam-6711	215	25	.	.	PUNCT
ejpam-6711	216	1	the	the	DET
ejpam-6711	216	2	most	most	ADV
ejpam-6711	216	3	substantial	substantial	ADJ
ejpam-6711	216	4	negative	negative	ADJ
ejpam-6711	216	5	effect	effect	NOUN
ejpam-6711	216	6	is	be	AUX
ejpam-6711	216	7	observed	observe	VERB
ejpam-6711	216	8	for	for	ADP
ejpam-6711	216	9	φ	φ	PROPN
ejpam-6711	216	10	(	(	PUNCT
ejpam-6711	216	11	−0.91	−0.91	NOUN
ejpam-6711	216	12	)	)	PUNCT
ejpam-6711	216	13	,	,	PUNCT
ejpam-6711	216	14	indicating	indicate	VERB
ejpam-6711	216	15	its	its	PRON
ejpam-6711	216	16	critical	critical	ADJ
ejpam-6711	216	17	role	role	NOUN
ejpam-6711	216	18	in	in	ADP
ejpam-6711	216	19	lowering	lower	VERB
ejpam-6711	216	20	disease	disease	NOUN
ejpam-6711	216	21	transmission	transmission	NOUN
ejpam-6711	216	22	.	.	PUNCT
ejpam-6711	217	1	the	the	DET
ejpam-6711	217	2	similar	similar	ADJ
ejpam-6711	217	3	negative	negative	ADJ
ejpam-6711	217	4	values	value	NOUN
ejpam-6711	217	5	for	for	ADP
ejpam-6711	217	6	µ	µ	PRON
ejpam-6711	217	7	,	,	PUNCT
ejpam-6711	217	8	δ1	δ1	NOUN
ejpam-6711	217	9	,	,	PUNCT
ejpam-6711	217	10	and	and	CCONJ
ejpam-6711	217	11	δ2	δ2	VERB
ejpam-6711	217	12	(	(	PUNCT
ejpam-6711	217	13	all	all	PRON
ejpam-6711	217	14	−0.30	−0.30	NOUN
ejpam-6711	217	15	)	)	PUNCT
ejpam-6711	217	16	highlight	highlight	VERB
ejpam-6711	217	17	their	their	PRON
ejpam-6711	217	18	moderate	moderate	ADJ
ejpam-6711	217	19	but	but	CCONJ
ejpam-6711	217	20	important	important	ADJ
ejpam-6711	217	21	reducing	reduce	VERB
ejpam-6711	217	22	effects	effect	NOUN
ejpam-6711	217	23	.	.	PUNCT
ejpam-6711	218	1	this	this	DET
ejpam-6711	218	2	analysis	analysis	NOUN
ejpam-6711	218	3	helps	help	VERB
ejpam-6711	218	4	identify	identify	VERB
ejpam-6711	218	5	which	which	PRON
ejpam-6711	218	6	parameters	parameter	NOUN
ejpam-6711	218	7	are	be	AUX
ejpam-6711	218	8	most	most	ADV
ejpam-6711	218	9	influential	influential	ADJ
ejpam-6711	218	10	for	for	ADP
ejpam-6711	218	11	targeted	target	VERB
ejpam-6711	218	12	interventions	intervention	NOUN
ejpam-6711	218	13	to	to	PART
ejpam-6711	218	14	control	control	VERB
ejpam-6711	218	15	the	the	DET
ejpam-6711	218	16	spread	spread	NOUN
ejpam-6711	218	17	of	of	ADP
ejpam-6711	218	18	drug	drug	NOUN
ejpam-6711	218	19	abuse	abuse	NOUN
ejpam-6711	218	20	or	or	CCONJ
ejpam-6711	218	21	infection	infection	NOUN
ejpam-6711	218	22	.	.	PUNCT
ejpam-6711	219	1	the	the	DET
ejpam-6711	219	2	figure	figure	NOUN
ejpam-6711	219	3	visually	visually	ADV
ejpam-6711	219	4	guides	guide	VERB
ejpam-6711	219	5	policymakers	policymaker	NOUN
ejpam-6711	219	6	on	on	ADP
ejpam-6711	219	7	where	where	SCONJ
ejpam-6711	219	8	to	to	PART
ejpam-6711	219	9	focus	focus	VERB
ejpam-6711	219	10	resources	resource	NOUN
ejpam-6711	219	11	for	for	ADP
ejpam-6711	219	12	maximum	maximum	ADJ
ejpam-6711	219	13	impact	impact	NOUN
ejpam-6711	219	14	on	on	ADP
ejpam-6711	219	15	reducing	reduce	VERB
ejpam-6711	219	16	r0	r0	NOUN
ejpam-6711	219	17	.	.	PUNCT
ejpam-6711	220	1	6	6	NUM
ejpam-6711	220	2	.	.	X
ejpam-6711	220	3	numerical	numerical	PROPN
ejpam-6711	220	4	and	and	CCONJ
ejpam-6711	220	5	simulation	simulation	NOUN
ejpam-6711	220	6	results	result	NOUN
ejpam-6711	220	7	we	we	PRON
ejpam-6711	220	8	performed	perform	VERB
ejpam-6711	220	9	numerical	numerical	ADJ
ejpam-6711	220	10	simulations	simulation	NOUN
ejpam-6711	220	11	using	use	VERB
ejpam-6711	220	12	realistic	realistic	ADJ
ejpam-6711	220	13	parameter	parameter	NOUN
ejpam-6711	220	14	values	value	NOUN
ejpam-6711	220	15	and	and	CCONJ
ejpam-6711	220	16	initial	initial	ADJ
ejpam-6711	220	17	conditions	condition	NOUN
ejpam-6711	220	18	to	to	PART
ejpam-6711	220	19	investigate	investigate	VERB
ejpam-6711	220	20	the	the	DET
ejpam-6711	220	21	dynamic	dynamic	ADJ
ejpam-6711	220	22	behavior	behavior	NOUN
ejpam-6711	220	23	of	of	ADP
ejpam-6711	220	24	model	model	NOUN
ejpam-6711	220	25	(	(	PUNCT
ejpam-6711	220	26	2.1	2.1	NUM
ejpam-6711	220	27	)	)	PUNCT
ejpam-6711	220	28	.	.	PUNCT
ejpam-6711	221	1	figures	figure	NOUN
ejpam-6711	221	2	4	4	NUM
ejpam-6711	221	3	-	-	SYM
ejpam-6711	221	4	10	10	NUM
ejpam-6711	221	5	illustrate	illustrate	VERB
ejpam-6711	221	6	the	the	DET
ejpam-6711	221	7	time	time	NOUN
ejpam-6711	221	8	evolution	evolution	NOUN
ejpam-6711	221	9	of	of	ADP
ejpam-6711	221	10	each	each	DET
ejpam-6711	221	11	compartment	compartment	NOUN
ejpam-6711	221	12	in	in	ADP
ejpam-6711	221	13	the	the	DET
ejpam-6711	221	14	population	population	NOUN
ejpam-6711	221	15	.	.	PUNCT
ejpam-6711	222	1	these	these	DET
ejpam-6711	222	2	results	result	NOUN
ejpam-6711	222	3	provide	provide	VERB
ejpam-6711	222	4	insight	insight	NOUN
ejpam-6711	222	5	into	into	ADP
ejpam-6711	222	6	how	how	SCONJ
ejpam-6711	222	7	the	the	DET
ejpam-6711	222	8	various	various	ADJ
ejpam-6711	222	9	subpopulations	subpopulation	NOUN
ejpam-6711	222	10	interact	interact	VERB
ejpam-6711	222	11	and	and	CCONJ
ejpam-6711	222	12	change	change	VERB
ejpam-6711	222	13	over	over	ADP
ejpam-6711	222	14	time	time	NOUN
ejpam-6711	222	15	in	in	ADP
ejpam-6711	222	16	response	response	NOUN
ejpam-6711	222	17	to	to	ADP
ejpam-6711	222	18	drug	drug	NOUN
ejpam-6711	222	19	addiction	addiction	NOUN
ejpam-6711	222	20	and	and	CCONJ
ejpam-6711	222	21	intervention	intervention	NOUN
ejpam-6711	222	22	strategies	strategy	NOUN
ejpam-6711	222	23	.	.	PUNCT
ejpam-6711	223	1	a	a	DET
ejpam-6711	223	2	key	key	ADJ
ejpam-6711	223	3	observation	observation	NOUN
ejpam-6711	223	4	from	from	ADP
ejpam-6711	223	5	the	the	DET
ejpam-6711	223	6	simulations	simulation	NOUN
ejpam-6711	223	7	is	be	AUX
ejpam-6711	223	8	that	that	SCONJ
ejpam-6711	223	9	as	as	SCONJ
ejpam-6711	223	10	the	the	DET
ejpam-6711	223	11	number	number	NOUN
ejpam-6711	223	12	of	of	ADP
ejpam-6711	223	13	individuals	individual	NOUN
ejpam-6711	223	14	receiving	receive	VERB
ejpam-6711	223	15	treatment	treatment	NOUN
ejpam-6711	223	16	increases	increase	NOUN
ejpam-6711	223	17	,	,	PUNCT
ejpam-6711	223	18	both	both	CCONJ
ejpam-6711	223	19	in	in	ADP
ejpam-6711	223	20	hospital	hospital	NOUN
ejpam-6711	223	21	(	(	PUNCT
ejpam-6711	223	22	th	th	NOUN
ejpam-6711	223	23	)	)	PUNCT
ejpam-6711	223	24	and	and	CCONJ
ejpam-6711	223	25	without	without	ADP
ejpam-6711	223	26	hospitalization	hospitalization	NOUN
ejpam-6711	223	27	(	(	PUNCT
ejpam-6711	223	28	tp	tp	NOUN
ejpam-6711	223	29	)	)	PUNCT
ejpam-6711	223	30	,	,	PUNCT
ejpam-6711	223	31	the	the	DET
ejpam-6711	223	32	size	size	NOUN
ejpam-6711	223	33	of	of	ADP
ejpam-6711	223	34	the	the	DET
ejpam-6711	223	35	susceptible	susceptible	ADJ
ejpam-6711	223	36	populations	population	NOUN
ejpam-6711	223	37	,	,	PUNCT
ejpam-6711	223	38	particularly	particularly	ADV
ejpam-6711	223	39	the	the	DET
ejpam-6711	223	40	high	high	ADJ
ejpam-6711	223	41	-	-	PUNCT
ejpam-6711	223	42	risk	risk	NOUN
ejpam-6711	223	43	(	(	PUNCT
ejpam-6711	223	44	si	si	NOUN
ejpam-6711	223	45	)	)	PUNCT
ejpam-6711	223	46	and	and	CCONJ
ejpam-6711	223	47	low	low	ADJ
ejpam-6711	223	48	-	-	PUNCT
ejpam-6711	223	49	risk	risk	NOUN
ejpam-6711	223	50	(	(	PUNCT
ejpam-6711	223	51	sd	sd	NOUN
ejpam-6711	223	52	)	)	PUNCT
ejpam-6711	223	53	groups	group	NOUN
ejpam-6711	223	54	decreases	decrease	VERB
ejpam-6711	223	55	.	.	PUNCT
ejpam-6711	224	1	this	this	DET
ejpam-6711	224	2	trend	trend	NOUN
ejpam-6711	224	3	is	be	AUX
ejpam-6711	224	4	evident	evident	ADJ
ejpam-6711	224	5	in	in	ADP
ejpam-6711	224	6	figures	figure	NOUN
ejpam-6711	224	7	8	8	NUM
ejpam-6711	224	8	and	and	CCONJ
ejpam-6711	224	9	9	9	NUM
ejpam-6711	224	10	,	,	PUNCT
ejpam-6711	224	11	which	which	PRON
ejpam-6711	224	12	show	show	VERB
ejpam-6711	224	13	a	a	DET
ejpam-6711	224	14	steady	steady	ADJ
ejpam-6711	224	15	rise	rise	NOUN
ejpam-6711	224	16	in	in	ADP
ejpam-6711	224	17	the	the	DET
ejpam-6711	224	18	treatment	treatment	NOUN
ejpam-6711	224	19	compartments	compartment	NOUN
ejpam-6711	224	20	,	,	PUNCT
ejpam-6711	224	21	while	while	SCONJ
ejpam-6711	224	22	figures	figure	NOUN
ejpam-6711	224	23	4	4	NUM
ejpam-6711	224	24	and	and	CCONJ
ejpam-6711	224	25	5	5	NUM
ejpam-6711	224	26	demonstrate	demonstrate	VERB
ejpam-6711	224	27	a	a	DET
ejpam-6711	224	28	corresponding	corresponding	ADJ
ejpam-6711	224	29	decline	decline	NOUN
ejpam-6711	224	30	in	in	ADP
ejpam-6711	224	31	susceptible	susceptible	ADJ
ejpam-6711	224	32	individuals	individual	NOUN
ejpam-6711	224	33	.	.	PUNCT
ejpam-6711	225	1	the	the	DET
ejpam-6711	225	2	reduction	reduction	NOUN
ejpam-6711	225	3	in	in	ADP
ejpam-6711	225	4	susceptibles	susceptible	NOUN
ejpam-6711	225	5	is	be	AUX
ejpam-6711	225	6	a	a	DET
ejpam-6711	225	7	direct	direct	ADJ
ejpam-6711	225	8	consequence	consequence	NOUN
ejpam-6711	225	9	of	of	ADP
ejpam-6711	225	10	effective	effective	ADJ
ejpam-6711	225	11	l.	l.	PROPN
ejpam-6711	225	12	yaseen	yaseen	PROPN
ejpam-6711	226	1	et	et	PROPN
ejpam-6711	226	2	al	al	PROPN
ejpam-6711	226	3	.	.	PUNCT
ejpam-6711	226	4	/	/	SYM
ejpam-6711	226	5	eur	eur	PROPN
ejpam-6711	226	6	.	.	PUNCT
ejpam-6711	227	1	j.	j.	PROPN
ejpam-6711	227	2	pure	pure	PROPN
ejpam-6711	227	3	appl	appl	PROPN
ejpam-6711	227	4	.	.	PROPN
ejpam-6711	227	5	math	math	PROPN
ejpam-6711	227	6	,	,	PUNCT
ejpam-6711	227	7	18	18	NUM
ejpam-6711	227	8	(	(	PUNCT
ejpam-6711	227	9	4	4	NUM
ejpam-6711	227	10	)	)	PUNCT
ejpam-6711	227	11	(	(	PUNCT
ejpam-6711	227	12	2025	2025	NUM
ejpam-6711	227	13	)	)	PUNCT
ejpam-6711	227	14	,	,	PUNCT
ejpam-6711	227	15	6711	6711	NUM
ejpam-6711	227	16	15	15	NUM
ejpam-6711	227	17	of	of	ADP
ejpam-6711	227	18	29	29	NUM
ejpam-6711	227	19	treatment	treatment	NOUN
ejpam-6711	227	20	,	,	PUNCT
ejpam-6711	227	21	which	which	PRON
ejpam-6711	227	22	removes	remove	VERB
ejpam-6711	227	23	individuals	individual	NOUN
ejpam-6711	227	24	from	from	ADP
ejpam-6711	227	25	the	the	DET
ejpam-6711	227	26	pool	pool	NOUN
ejpam-6711	227	27	at	at	ADP
ejpam-6711	227	28	risk	risk	NOUN
ejpam-6711	227	29	of	of	ADP
ejpam-6711	227	30	progressing	progress	VERB
ejpam-6711	227	31	to	to	ADP
ejpam-6711	227	32	drug	drug	NOUN
ejpam-6711	227	33	abuse	abuse	NOUN
ejpam-6711	227	34	or	or	CCONJ
ejpam-6711	227	35	relapse	relapse	NOUN
ejpam-6711	227	36	.	.	PUNCT
ejpam-6711	228	1	furthermore	furthermore	ADV
ejpam-6711	228	2	,	,	PUNCT
ejpam-6711	228	3	the	the	DET
ejpam-6711	228	4	number	number	NOUN
ejpam-6711	228	5	of	of	ADP
ejpam-6711	228	6	prone	prone	ADJ
ejpam-6711	228	7	individuals	individual	NOUN
ejpam-6711	228	8	(	(	PUNCT
ejpam-6711	228	9	p	p	NOUN
ejpam-6711	228	10	)	)	PUNCT
ejpam-6711	228	11	and	and	CCONJ
ejpam-6711	228	12	untreated	untreated	ADJ
ejpam-6711	228	13	drug	drug	NOUN
ejpam-6711	228	14	abusers	abuser	NOUN
ejpam-6711	228	15	(	(	PUNCT
ejpam-6711	228	16	i	i	NOUN
ejpam-6711	228	17	d	d	PROPN
ejpam-6711	228	18	)	)	PUNCT
ejpam-6711	228	19	initially	initially	ADV
ejpam-6711	228	20	increases	increase	VERB
ejpam-6711	228	21	but	but	CCONJ
ejpam-6711	228	22	subsequently	subsequently	ADV
ejpam-6711	228	23	declines	decline	VERB
ejpam-6711	228	24	as	as	SCONJ
ejpam-6711	228	25	more	more	ADJ
ejpam-6711	228	26	individuals	individual	NOUN
ejpam-6711	228	27	enter	enter	VERB
ejpam-6711	228	28	treatment	treatment	NOUN
ejpam-6711	228	29	and	and	CCONJ
ejpam-6711	228	30	recovery	recovery	NOUN
ejpam-6711	228	31	(	(	PUNCT
ejpam-6711	228	32	figures	figure	NOUN
ejpam-6711	228	33	6	6	NUM
ejpam-6711	228	34	and	and	CCONJ
ejpam-6711	228	35	7	7	NUM
ejpam-6711	228	36	)	)	PUNCT
ejpam-6711	228	37	.	.	PUNCT
ejpam-6711	229	1	the	the	DET
ejpam-6711	229	2	recovered	recover	VERB
ejpam-6711	229	3	compartment	compartment	NOUN
ejpam-6711	229	4	(	(	PUNCT
ejpam-6711	229	5	r	r	NOUN
ejpam-6711	229	6	)	)	PUNCT
ejpam-6711	229	7	shows	show	VERB
ejpam-6711	229	8	a	a	DET
ejpam-6711	229	9	consistent	consistent	ADJ
ejpam-6711	229	10	increase	increase	NOUN
ejpam-6711	229	11	over	over	ADP
ejpam-6711	229	12	time	time	NOUN
ejpam-6711	229	13	(	(	PUNCT
ejpam-6711	229	14	figure	figure	NOUN
ejpam-6711	229	15	10	10	NUM
ejpam-6711	229	16	)	)	PUNCT
ejpam-6711	229	17	,	,	PUNCT
ejpam-6711	229	18	reflecting	reflect	VERB
ejpam-6711	229	19	the	the	DET
ejpam-6711	229	20	cumulative	cumulative	ADJ
ejpam-6711	229	21	effect	effect	NOUN
ejpam-6711	229	22	of	of	ADP
ejpam-6711	229	23	successful	successful	ADJ
ejpam-6711	229	24	interventions	intervention	NOUN
ejpam-6711	229	25	.	.	PUNCT
ejpam-6711	230	1	0	0	NUM
ejpam-6711	231	1	20	20	NUM
ejpam-6711	231	2	40	40	NUM
ejpam-6711	231	3	60	60	NUM
ejpam-6711	231	4	80	80	NUM
ejpam-6711	231	5	100	100	NUM
ejpam-6711	231	6	time	time	NOUN
ejpam-6711	231	7	10	10	NUM
ejpam-6711	231	8	20	20	NUM
ejpam-6711	231	9	30	30	NUM
ejpam-6711	231	10	40	40	NUM
ejpam-6711	231	11	50	50	NUM
ejpam-6711	231	12	po	po	NOUN
ejpam-6711	231	13	pu	pu	PROPN
ejpam-6711	231	14	la	la	PROPN
ejpam-6711	231	15	tio	tio	PROPN
ejpam-6711	231	16	n	n	ADV
ejpam-6711	231	17	sd	sd	ADV
ejpam-6711	231	18	(	(	PUNCT
ejpam-6711	231	19	low	low	ADJ
ejpam-6711	231	20	risk	risk	NOUN
ejpam-6711	231	21	susceptible	susceptible	ADJ
ejpam-6711	231	22	)	)	PUNCT
ejpam-6711	231	23	figure	figure	NOUN
ejpam-6711	231	24	4	4	NUM
ejpam-6711	231	25	:	:	PUNCT
ejpam-6711	231	26	time	time	NOUN
ejpam-6711	231	27	evolution	evolution	NOUN
ejpam-6711	231	28	of	of	ADP
ejpam-6711	231	29	the	the	DET
ejpam-6711	231	30	low	low	ADJ
ejpam-6711	231	31	-	-	PUNCT
ejpam-6711	231	32	risk	risk	NOUN
ejpam-6711	231	33	susceptible	susceptible	ADJ
ejpam-6711	231	34	population	population	NOUN
ejpam-6711	231	35	(	(	PUNCT
ejpam-6711	231	36	sd	sd	NOUN
ejpam-6711	231	37	)	)	PUNCT
ejpam-6711	231	38	in	in	ADP
ejpam-6711	231	39	model	model	NOUN
ejpam-6711	231	40	(	(	PUNCT
ejpam-6711	231	41	2.1	2.1	NUM
ejpam-6711	231	42	)	)	PUNCT
ejpam-6711	231	43	.	.	PUNCT
ejpam-6711	232	1	0	0	NUM
ejpam-6711	233	1	20	20	NUM
ejpam-6711	233	2	40	40	NUM
ejpam-6711	233	3	60	60	NUM
ejpam-6711	233	4	80	80	NUM
ejpam-6711	233	5	100	100	NUM
ejpam-6711	233	6	time	time	NOUN
ejpam-6711	233	7	20	20	NUM
ejpam-6711	233	8	40	40	NUM
ejpam-6711	233	9	60	60	NUM
ejpam-6711	233	10	80	80	NUM
ejpam-6711	233	11	100	100	NUM
ejpam-6711	233	12	po	po	X
ejpam-6711	233	13	pu	pu	PROPN
ejpam-6711	233	14	la	la	PROPN
ejpam-6711	233	15	tio	tio	PROPN
ejpam-6711	233	16	n	n	X
ejpam-6711	233	17	si	si	X
ejpam-6711	233	18	(	(	PUNCT
ejpam-6711	233	19	high	high	ADJ
ejpam-6711	233	20	risk	risk	NOUN
ejpam-6711	233	21	susceptible	susceptible	ADJ
ejpam-6711	233	22	)	)	PUNCT
ejpam-6711	233	23	figure	figure	NOUN
ejpam-6711	233	24	5	5	NUM
ejpam-6711	233	25	:	:	PUNCT
ejpam-6711	233	26	time	time	NOUN
ejpam-6711	233	27	evolution	evolution	NOUN
ejpam-6711	233	28	of	of	ADP
ejpam-6711	233	29	the	the	DET
ejpam-6711	233	30	high	high	ADJ
ejpam-6711	233	31	-	-	PUNCT
ejpam-6711	233	32	risk	risk	NOUN
ejpam-6711	233	33	susceptible	susceptible	ADJ
ejpam-6711	233	34	population	population	NOUN
ejpam-6711	233	35	(	(	PUNCT
ejpam-6711	233	36	si	si	NOUN
ejpam-6711	233	37	)	)	PUNCT
ejpam-6711	233	38	in	in	ADP
ejpam-6711	233	39	model	model	NOUN
ejpam-6711	233	40	(	(	PUNCT
ejpam-6711	233	41	2.1	2.1	NUM
ejpam-6711	233	42	)	)	PUNCT
ejpam-6711	233	43	.	.	PUNCT
ejpam-6711	234	1	l.	l.	PROPN
ejpam-6711	234	2	yaseen	yaseen	PROPN
ejpam-6711	234	3	et	et	PROPN
ejpam-6711	234	4	al	al	PROPN
ejpam-6711	234	5	.	.	PUNCT
ejpam-6711	234	6	/	/	SYM
ejpam-6711	234	7	eur	eur	PROPN
ejpam-6711	234	8	.	.	PUNCT
ejpam-6711	235	1	j.	j.	PROPN
ejpam-6711	235	2	pure	pure	PROPN
ejpam-6711	235	3	appl	appl	PROPN
ejpam-6711	235	4	.	.	PROPN
ejpam-6711	235	5	math	math	PROPN
ejpam-6711	235	6	,	,	PUNCT
ejpam-6711	235	7	18	18	NUM
ejpam-6711	235	8	(	(	PUNCT
ejpam-6711	235	9	4	4	NUM
ejpam-6711	235	10	)	)	PUNCT
ejpam-6711	235	11	(	(	PUNCT
ejpam-6711	235	12	2025	2025	NUM
ejpam-6711	235	13	)	)	PUNCT
ejpam-6711	235	14	,	,	PUNCT
ejpam-6711	235	15	6711	6711	NUM
ejpam-6711	235	16	16	16	NUM
ejpam-6711	235	17	of	of	ADP
ejpam-6711	235	18	29	29	NUM
ejpam-6711	235	19	0	0	NUM
ejpam-6711	235	20	20	20	NUM
ejpam-6711	235	21	40	40	NUM
ejpam-6711	235	22	60	60	NUM
ejpam-6711	235	23	80	80	NUM
ejpam-6711	235	24	100	100	NUM
ejpam-6711	235	25	time	time	NOUN
ejpam-6711	235	26	2	2	NUM
ejpam-6711	235	27	4	4	NUM
ejpam-6711	235	28	6	6	NUM
ejpam-6711	235	29	8	8	NUM
ejpam-6711	235	30	10	10	NUM
ejpam-6711	235	31	12	12	NUM
ejpam-6711	235	32	14	14	NUM
ejpam-6711	235	33	po	po	NOUN
ejpam-6711	235	34	pu	pu	PROPN
ejpam-6711	235	35	la	la	PROPN
ejpam-6711	235	36	tio	tio	PROPN
ejpam-6711	235	37	n	n	PRON
ejpam-6711	235	38	p	p	X
ejpam-6711	235	39	(	(	PUNCT
ejpam-6711	235	40	prone	prone	ADJ
ejpam-6711	235	41	)	)	PUNCT
ejpam-6711	235	42	figure	figure	NOUN
ejpam-6711	235	43	6	6	NUM
ejpam-6711	235	44	:	:	PUNCT
ejpam-6711	235	45	time	time	NOUN
ejpam-6711	235	46	evolution	evolution	NOUN
ejpam-6711	235	47	of	of	ADP
ejpam-6711	235	48	the	the	DET
ejpam-6711	235	49	prone	prone	ADJ
ejpam-6711	235	50	individuals	individual	NOUN
ejpam-6711	235	51	(	(	PUNCT
ejpam-6711	235	52	p	p	NOUN
ejpam-6711	235	53	)	)	PUNCT
ejpam-6711	235	54	in	in	ADP
ejpam-6711	235	55	model	model	NOUN
ejpam-6711	235	56	(	(	PUNCT
ejpam-6711	235	57	2.1	2.1	NUM
ejpam-6711	235	58	)	)	PUNCT
ejpam-6711	235	59	.	.	PUNCT
ejpam-6711	236	1	0	0	NUM
ejpam-6711	237	1	20	20	NUM
ejpam-6711	237	2	40	40	NUM
ejpam-6711	237	3	60	60	NUM
ejpam-6711	237	4	80	80	NUM
ejpam-6711	237	5	100	100	NUM
ejpam-6711	237	6	time	time	NOUN
ejpam-6711	237	7	3	3	NUM
ejpam-6711	237	8	4	4	NUM
ejpam-6711	237	9	5	5	NUM
ejpam-6711	237	10	6	6	NUM
ejpam-6711	237	11	7	7	NUM
ejpam-6711	237	12	po	po	NOUN
ejpam-6711	237	13	pu	pu	PROPN
ejpam-6711	237	14	la	la	PROPN
ejpam-6711	238	1	tio	tio	PROPN
ejpam-6711	239	1	n	n	PROPN
ejpam-6711	240	1	i	i	PROPN
ejpam-6711	240	2	d	d	PROPN
ejpam-6711	240	3	(	(	PUNCT
ejpam-6711	240	4	drug	drug	NOUN
ejpam-6711	240	5	abusers	abuser	NOUN
ejpam-6711	240	6	untreated	untreate	VERB
ejpam-6711	240	7	)	)	PUNCT
ejpam-6711	240	8	figure	figure	NOUN
ejpam-6711	240	9	7	7	NUM
ejpam-6711	240	10	:	:	PUNCT
ejpam-6711	240	11	time	time	NOUN
ejpam-6711	240	12	evolution	evolution	NOUN
ejpam-6711	240	13	of	of	ADP
ejpam-6711	240	14	untreated	untreated	ADJ
ejpam-6711	240	15	drug	drug	NOUN
ejpam-6711	240	16	abusers	abuser	NOUN
ejpam-6711	240	17	(	(	PUNCT
ejpam-6711	240	18	i	i	NOUN
ejpam-6711	240	19	d	d	PROPN
ejpam-6711	240	20	)	)	PUNCT
ejpam-6711	240	21	in	in	ADP
ejpam-6711	240	22	model	model	NOUN
ejpam-6711	240	23	(	(	PUNCT
ejpam-6711	240	24	2.1	2.1	NUM
ejpam-6711	240	25	)	)	PUNCT
ejpam-6711	240	26	.	.	PUNCT
ejpam-6711	241	1	0	0	NUM
ejpam-6711	242	1	20	20	NUM
ejpam-6711	242	2	40	40	NUM
ejpam-6711	242	3	60	60	NUM
ejpam-6711	242	4	80	80	NUM
ejpam-6711	242	5	100	100	NUM
ejpam-6711	242	6	time	time	NOUN
ejpam-6711	242	7	2	2	NUM
ejpam-6711	242	8	3	3	NUM
ejpam-6711	242	9	4	4	NUM
ejpam-6711	242	10	5	5	NUM
ejpam-6711	242	11	6	6	NUM
ejpam-6711	242	12	7	7	NUM
ejpam-6711	242	13	8	8	NUM
ejpam-6711	242	14	9	9	NUM
ejpam-6711	242	15	po	po	NOUN
ejpam-6711	242	16	pu	pu	PROPN
ejpam-6711	242	17	la	la	PROPN
ejpam-6711	242	18	tio	tio	PROPN
ejpam-6711	242	19	n	n	VERB
ejpam-6711	242	20	th	th	X
ejpam-6711	242	21	(	(	PUNCT
ejpam-6711	242	22	treatment	treatment	NOUN
ejpam-6711	242	23	hospitalization	hospitalization	NOUN
ejpam-6711	242	24	)	)	PUNCT
ejpam-6711	242	25	figure	figure	NOUN
ejpam-6711	242	26	8	8	NUM
ejpam-6711	242	27	:	:	PUNCT
ejpam-6711	242	28	time	time	NOUN
ejpam-6711	242	29	evolution	evolution	NOUN
ejpam-6711	242	30	of	of	ADP
ejpam-6711	242	31	individuals	individual	NOUN
ejpam-6711	242	32	receiving	receive	VERB
ejpam-6711	242	33	hospital	hospital	NOUN
ejpam-6711	242	34	treatment	treatment	NOUN
ejpam-6711	242	35	(	(	PUNCT
ejpam-6711	242	36	th	th	NOUN
ejpam-6711	242	37	)	)	PUNCT
ejpam-6711	242	38	in	in	ADP
ejpam-6711	242	39	model	model	NOUN
ejpam-6711	242	40	(	(	PUNCT
ejpam-6711	242	41	2.1	2.1	NUM
ejpam-6711	242	42	)	)	PUNCT
ejpam-6711	242	43	.	.	PUNCT
ejpam-6711	243	1	l.	l.	PROPN
ejpam-6711	243	2	yaseen	yaseen	PROPN
ejpam-6711	243	3	et	et	PROPN
ejpam-6711	243	4	al	al	PROPN
ejpam-6711	243	5	.	.	PUNCT
ejpam-6711	243	6	/	/	SYM
ejpam-6711	243	7	eur	eur	PROPN
ejpam-6711	243	8	.	.	PUNCT
ejpam-6711	244	1	j.	j.	PROPN
ejpam-6711	244	2	pure	pure	PROPN
ejpam-6711	244	3	appl	appl	PROPN
ejpam-6711	244	4	.	.	PROPN
ejpam-6711	244	5	math	math	PROPN
ejpam-6711	244	6	,	,	PUNCT
ejpam-6711	244	7	18	18	NUM
ejpam-6711	244	8	(	(	PUNCT
ejpam-6711	244	9	4	4	NUM
ejpam-6711	244	10	)	)	PUNCT
ejpam-6711	244	11	(	(	PUNCT
ejpam-6711	244	12	2025	2025	NUM
ejpam-6711	244	13	)	)	PUNCT
ejpam-6711	244	14	,	,	PUNCT
ejpam-6711	244	15	6711	6711	NUM
ejpam-6711	244	16	17	17	NUM
ejpam-6711	244	17	of	of	ADP
ejpam-6711	244	18	29	29	NUM
ejpam-6711	244	19	0	0	NUM
ejpam-6711	244	20	20	20	NUM
ejpam-6711	244	21	40	40	NUM
ejpam-6711	244	22	60	60	NUM
ejpam-6711	244	23	80	80	NUM
ejpam-6711	244	24	100	100	NUM
ejpam-6711	244	25	time	time	NOUN
ejpam-6711	244	26	4	4	NUM
ejpam-6711	244	27	6	6	NUM
ejpam-6711	244	28	8	8	NUM
ejpam-6711	244	29	10	10	NUM
ejpam-6711	244	30	po	po	NOUN
ejpam-6711	244	31	pu	pu	PROPN
ejpam-6711	244	32	la	la	PROPN
ejpam-6711	244	33	tio	tio	PROPN
ejpam-6711	244	34	n	n	PROPN
ejpam-6711	244	35	tp	tp	X
ejpam-6711	244	36	(	(	PUNCT
ejpam-6711	244	37	treatment	treatment	NOUN
ejpam-6711	244	38	no	no	DET
ejpam-6711	244	39	hospitalization	hospitalization	NOUN
ejpam-6711	244	40	)	)	PUNCT
ejpam-6711	244	41	figure	figure	NOUN
ejpam-6711	244	42	9	9	NUM
ejpam-6711	244	43	:	:	PUNCT
ejpam-6711	244	44	time	time	NOUN
ejpam-6711	244	45	evolution	evolution	NOUN
ejpam-6711	244	46	of	of	ADP
ejpam-6711	244	47	individuals	individual	NOUN
ejpam-6711	244	48	receiving	receive	VERB
ejpam-6711	244	49	non	non	ADJ
ejpam-6711	244	50	-	-	ADJ
ejpam-6711	244	51	hospital	hospital	ADJ
ejpam-6711	244	52	treatment	treatment	NOUN
ejpam-6711	244	53	(	(	PUNCT
ejpam-6711	244	54	tp	tp	NOUN
ejpam-6711	244	55	)	)	PUNCT
ejpam-6711	244	56	in	in	ADP
ejpam-6711	244	57	model	model	NOUN
ejpam-6711	244	58	(	(	PUNCT
ejpam-6711	244	59	2.1	2.1	NUM
ejpam-6711	244	60	)	)	PUNCT
ejpam-6711	244	61	.	.	PUNCT
ejpam-6711	245	1	0	0	NUM
ejpam-6711	246	1	20	20	NUM
ejpam-6711	246	2	40	40	NUM
ejpam-6711	246	3	60	60	NUM
ejpam-6711	246	4	80	80	NUM
ejpam-6711	246	5	100	100	NUM
ejpam-6711	246	6	time	time	NOUN
ejpam-6711	246	7	2.5	2.5	NUM
ejpam-6711	246	8	5.0	5.0	NUM
ejpam-6711	246	9	7.5	7.5	NUM
ejpam-6711	246	10	10.0	10.0	NUM
ejpam-6711	246	11	12.5	12.5	NUM
ejpam-6711	246	12	15.0	15.0	NUM
ejpam-6711	246	13	17.5	17.5	NUM
ejpam-6711	246	14	po	po	NOUN
ejpam-6711	246	15	pu	pu	PROPN
ejpam-6711	246	16	la	la	PROPN
ejpam-6711	246	17	tio	tio	PROPN
ejpam-6711	246	18	n	n	CCONJ
ejpam-6711	246	19	r	r	NOUN
ejpam-6711	246	20	(	(	PUNCT
ejpam-6711	246	21	recovering	recover	VERB
ejpam-6711	246	22	)	)	PUNCT
ejpam-6711	246	23	figure	figure	NOUN
ejpam-6711	246	24	10	10	NUM
ejpam-6711	246	25	:	:	PUNCT
ejpam-6711	246	26	time	time	NOUN
ejpam-6711	246	27	evolution	evolution	NOUN
ejpam-6711	246	28	of	of	ADP
ejpam-6711	246	29	recovered	recover	VERB
ejpam-6711	246	30	individuals	individual	NOUN
ejpam-6711	246	31	(	(	PUNCT
ejpam-6711	246	32	r	r	NOUN
ejpam-6711	246	33	)	)	PUNCT
ejpam-6711	246	34	in	in	ADP
ejpam-6711	246	35	model	model	NOUN
ejpam-6711	246	36	(	(	PUNCT
ejpam-6711	246	37	2.1	2.1	NUM
ejpam-6711	246	38	)	)	PUNCT
ejpam-6711	246	39	.	.	PUNCT
ejpam-6711	247	1	the	the	DET
ejpam-6711	247	2	phase	phase	NOUN
ejpam-6711	247	3	plots	plot	NOUN
ejpam-6711	247	4	shown	show	VERB
ejpam-6711	247	5	in	in	ADP
ejpam-6711	247	6	figure	figure	NOUN
ejpam-6711	247	7	11	11	NUM
ejpam-6711	247	8	offer	offer	NOUN
ejpam-6711	247	9	valuable	valuable	ADJ
ejpam-6711	247	10	insight	insight	NOUN
ejpam-6711	247	11	into	into	ADP
ejpam-6711	247	12	the	the	DET
ejpam-6711	247	13	dynamic	dynamic	ADJ
ejpam-6711	247	14	relationships	relationship	NOUN
ejpam-6711	247	15	between	between	ADP
ejpam-6711	247	16	key	key	ADJ
ejpam-6711	247	17	compartments	compartment	NOUN
ejpam-6711	247	18	in	in	ADP
ejpam-6711	247	19	the	the	DET
ejpam-6711	247	20	drug	drug	NOUN
ejpam-6711	247	21	addiction	addiction	NOUN
ejpam-6711	247	22	model	model	NOUN
ejpam-6711	247	23	(	(	PUNCT
ejpam-6711	247	24	2.1	2.1	NUM
ejpam-6711	247	25	)	)	PUNCT
ejpam-6711	247	26	.	.	PUNCT
ejpam-6711	248	1	each	each	DET
ejpam-6711	248	2	subfigure	subfigure	NOUN
ejpam-6711	248	3	illustrates	illustrate	VERB
ejpam-6711	248	4	the	the	DET
ejpam-6711	248	5	temporal	temporal	ADJ
ejpam-6711	248	6	interaction	interaction	NOUN
ejpam-6711	248	7	between	between	ADP
ejpam-6711	248	8	two	two	NUM
ejpam-6711	248	9	populations	population	NOUN
ejpam-6711	248	10	,	,	PUNCT
ejpam-6711	248	11	revealing	reveal	VERB
ejpam-6711	248	12	characteristic	characteristic	ADJ
ejpam-6711	248	13	trajectories	trajectory	NOUN
ejpam-6711	248	14	and	and	CCONJ
ejpam-6711	248	15	dependencies	dependency	NOUN
ejpam-6711	248	16	.	.	PUNCT
ejpam-6711	249	1	for	for	ADP
ejpam-6711	249	2	instance	instance	NOUN
ejpam-6711	249	3	,	,	PUNCT
ejpam-6711	249	4	the	the	DET
ejpam-6711	249	5	plots	plot	NOUN
ejpam-6711	249	6	of	of	ADP
ejpam-6711	249	7	i	i	PROPN
ejpam-6711	249	8	d	d	PROPN
ejpam-6711	249	9	versus	versus	ADP
ejpam-6711	249	10	th	th	NUM
ejpam-6711	249	11	and	and	CCONJ
ejpam-6711	249	12	i	i	PROPN
ejpam-6711	249	13	d	d	PROPN
ejpam-6711	249	14	versus	versus	ADP
ejpam-6711	249	15	tp	tp	PART
ejpam-6711	249	16	show	show	VERB
ejpam-6711	249	17	that	that	SCONJ
ejpam-6711	249	18	as	as	SCONJ
ejpam-6711	249	19	the	the	DET
ejpam-6711	249	20	number	number	NOUN
ejpam-6711	249	21	of	of	ADP
ejpam-6711	249	22	untreated	untreated	ADJ
ejpam-6711	249	23	drug	drug	NOUN
ejpam-6711	249	24	abusers	abuser	NOUN
ejpam-6711	249	25	(	(	PUNCT
ejpam-6711	249	26	i	i	NOUN
ejpam-6711	249	27	d	d	PROPN
ejpam-6711	249	28	)	)	PUNCT
ejpam-6711	249	29	declines	decline	VERB
ejpam-6711	249	30	,	,	PUNCT
ejpam-6711	249	31	the	the	DET
ejpam-6711	249	32	populations	population	NOUN
ejpam-6711	249	33	undergoing	undergo	VERB
ejpam-6711	249	34	treatment	treatment	NOUN
ejpam-6711	249	35	(	(	PUNCT
ejpam-6711	249	36	both	both	PRON
ejpam-6711	249	37	hospitalized	hospitalize	VERB
ejpam-6711	249	38	and	and	CCONJ
ejpam-6711	249	39	non	non	ADJ
ejpam-6711	249	40	-	-	ADJ
ejpam-6711	249	41	hospitalized	hospitalize	VERB
ejpam-6711	249	42	)	)	PUNCT
ejpam-6711	249	43	increase	increase	NOUN
ejpam-6711	249	44	,	,	PUNCT
ejpam-6711	249	45	highlighting	highlight	VERB
ejpam-6711	249	46	the	the	DET
ejpam-6711	249	47	effectiveness	effectiveness	NOUN
ejpam-6711	249	48	of	of	ADP
ejpam-6711	249	49	treatment	treatment	NOUN
ejpam-6711	249	50	interventions	intervention	NOUN
ejpam-6711	249	51	in	in	ADP
ejpam-6711	249	52	reducing	reduce	VERB
ejpam-6711	249	53	active	active	ADJ
ejpam-6711	249	54	drug	drug	NOUN
ejpam-6711	249	55	abuse	abuse	NOUN
ejpam-6711	249	56	.	.	PUNCT
ejpam-6711	250	1	similarly	similarly	ADV
ejpam-6711	250	2	,	,	PUNCT
ejpam-6711	250	3	the	the	DET
ejpam-6711	250	4	phase	phase	NOUN
ejpam-6711	250	5	plots	plot	VERB
ejpam-6711	250	6	of	of	ADP
ejpam-6711	250	7	sd	sd	NOUN
ejpam-6711	250	8	versus	versus	ADP
ejpam-6711	250	9	p	p	NOUN
ejpam-6711	250	10	and	and	CCONJ
ejpam-6711	250	11	si	si	PROPN
ejpam-6711	250	12	versus	versus	ADP
ejpam-6711	250	13	p	p	NOUN
ejpam-6711	250	14	demonstrate	demonstrate	NOUN
ejpam-6711	250	15	how	how	SCONJ
ejpam-6711	250	16	decreases	decrease	NOUN
ejpam-6711	250	17	in	in	ADP
ejpam-6711	250	18	susceptible	susceptible	ADJ
ejpam-6711	250	19	populations	population	NOUN
ejpam-6711	250	20	coincide	coincide	VERB
ejpam-6711	250	21	with	with	ADP
ejpam-6711	250	22	rises	rise	NOUN
ejpam-6711	250	23	and	and	CCONJ
ejpam-6711	250	24	subsequent	subsequent	ADJ
ejpam-6711	250	25	declines	decline	NOUN
ejpam-6711	250	26	in	in	ADP
ejpam-6711	250	27	prone	prone	ADJ
ejpam-6711	250	28	individuals	individual	NOUN
ejpam-6711	250	29	,	,	PUNCT
ejpam-6711	250	30	reflecting	reflect	VERB
ejpam-6711	250	31	transitions	transition	NOUN
ejpam-6711	250	32	from	from	ADP
ejpam-6711	250	33	susceptibility	susceptibility	NOUN
ejpam-6711	250	34	to	to	PART
ejpam-6711	250	35	risk	risk	VERB
ejpam-6711	250	36	and	and	CCONJ
ejpam-6711	250	37	eventual	eventual	ADJ
ejpam-6711	250	38	treatment	treatment	NOUN
ejpam-6711	250	39	or	or	CCONJ
ejpam-6711	250	40	recovery	recovery	NOUN
ejpam-6711	250	41	.	.	PUNCT
ejpam-6711	251	1	furthermore	furthermore	ADV
ejpam-6711	251	2	,	,	PUNCT
ejpam-6711	251	3	phase	phase	NOUN
ejpam-6711	251	4	portraits	portrait	NOUN
ejpam-6711	251	5	involving	involve	VERB
ejpam-6711	251	6	treatment	treatment	NOUN
ejpam-6711	251	7	and	and	CCONJ
ejpam-6711	251	8	recovery	recovery	NOUN
ejpam-6711	251	9	compartments	compartment	NOUN
ejpam-6711	251	10	(	(	PUNCT
ejpam-6711	251	11	th	th	X
ejpam-6711	251	12	vs.	vs.	ADP
ejpam-6711	251	13	r	r	NOUN
ejpam-6711	251	14	,	,	PUNCT
ejpam-6711	251	15	tp	tp	ADP
ejpam-6711	251	16	vs.	vs.	ADP
ejpam-6711	251	17	r	r	NOUN
ejpam-6711	251	18	)	)	PUNCT
ejpam-6711	251	19	reveal	reveal	VERB
ejpam-6711	251	20	that	that	SCONJ
ejpam-6711	251	21	increases	increase	NOUN
ejpam-6711	251	22	in	in	ADP
ejpam-6711	251	23	treated	treat	VERB
ejpam-6711	251	24	individuals	individual	NOUN
ejpam-6711	251	25	are	be	AUX
ejpam-6711	251	26	followed	follow	VERB
ejpam-6711	251	27	by	by	ADP
ejpam-6711	251	28	growth	growth	NOUN
ejpam-6711	251	29	in	in	ADP
ejpam-6711	251	30	the	the	DET
ejpam-6711	251	31	recovered	recovered	ADJ
ejpam-6711	251	32	population	population	NOUN
ejpam-6711	251	33	,	,	PUNCT
ejpam-6711	251	34	confirming	confirm	VERB
ejpam-6711	251	35	the	the	DET
ejpam-6711	251	36	success	success	NOUN
ejpam-6711	251	37	of	of	ADP
ejpam-6711	251	38	intervention	intervention	NOUN
ejpam-6711	251	39	strategies	strategy	NOUN
ejpam-6711	251	40	.	.	PUNCT
ejpam-6711	252	1	the	the	DET
ejpam-6711	252	2	tp	tp	PROPN
ejpam-6711	252	3	versus	versus	ADP
ejpam-6711	252	4	th	th	NUM
ejpam-6711	252	5	plot	plot	NOUN
ejpam-6711	252	6	captures	capture	VERB
ejpam-6711	252	7	the	the	DET
ejpam-6711	252	8	interaction	interaction	NOUN
ejpam-6711	252	9	between	between	ADP
ejpam-6711	252	10	different	different	ADJ
ejpam-6711	252	11	treatment	treatment	NOUN
ejpam-6711	252	12	modalities	modality	NOUN
ejpam-6711	252	13	,	,	PUNCT
ejpam-6711	252	14	while	while	SCONJ
ejpam-6711	252	15	plots	plot	NOUN
ejpam-6711	252	16	such	such	ADJ
ejpam-6711	252	17	as	as	ADP
ejpam-6711	252	18	sd	sd	NOUN
ejpam-6711	252	19	versus	versus	ADP
ejpam-6711	252	20	si	si	X
ejpam-6711	252	21	and	and	CCONJ
ejpam-6711	252	22	si	si	PROPN
ejpam-6711	252	23	versus	versus	ADP
ejpam-6711	252	24	p	p	X
ejpam-6711	252	25	illustrate	illustrate	VERB
ejpam-6711	252	26	the	the	DET
ejpam-6711	252	27	shifting	shift	VERB
ejpam-6711	252	28	balance	balance	NOUN
ejpam-6711	252	29	between	between	ADP
ejpam-6711	252	30	risk	risk	NOUN
ejpam-6711	252	31	groups	group	NOUN
ejpam-6711	252	32	as	as	SCONJ
ejpam-6711	252	33	the	the	DET
ejpam-6711	252	34	epidemic	epidemic	NOUN
ejpam-6711	252	35	progresses	progress	VERB
ejpam-6711	252	36	.	.	PUNCT
ejpam-6711	253	1	l.	l.	PROPN
ejpam-6711	253	2	yaseen	yaseen	PROPN
ejpam-6711	253	3	et	et	PROPN
ejpam-6711	253	4	al	al	PROPN
ejpam-6711	253	5	.	.	PUNCT
ejpam-6711	253	6	/	/	SYM
ejpam-6711	253	7	eur	eur	PROPN
ejpam-6711	253	8	.	.	PUNCT
ejpam-6711	254	1	j.	j.	PROPN
ejpam-6711	254	2	pure	pure	PROPN
ejpam-6711	254	3	appl	appl	PROPN
ejpam-6711	254	4	.	.	PROPN
ejpam-6711	254	5	math	math	PROPN
ejpam-6711	254	6	,	,	PUNCT
ejpam-6711	254	7	18	18	NUM
ejpam-6711	254	8	(	(	PUNCT
ejpam-6711	254	9	4	4	NUM
ejpam-6711	254	10	)	)	PUNCT
ejpam-6711	254	11	(	(	PUNCT
ejpam-6711	254	12	2025	2025	NUM
ejpam-6711	254	13	)	)	PUNCT
ejpam-6711	254	14	,	,	PUNCT
ejpam-6711	254	15	6711	6711	NUM
ejpam-6711	254	16	18	18	NUM
ejpam-6711	254	17	of	of	ADP
ejpam-6711	254	18	29	29	NUM
ejpam-6711	254	19	2	2	NUM
ejpam-6711	254	20	3	3	NUM
ejpam-6711	254	21	4	4	NUM
ejpam-6711	254	22	5	5	NUM
ejpam-6711	254	23	6	6	NUM
ejpam-6711	254	24	7	7	NUM
ejpam-6711	254	25	i	i	NOUN
ejpam-6711	254	26	d	d	PROPN
ejpam-6711	254	27	2	2	NUM
ejpam-6711	254	28	3	3	NUM
ejpam-6711	254	29	4	4	NUM
ejpam-6711	254	30	5	5	NUM
ejpam-6711	254	31	6	6	NUM
ejpam-6711	254	32	7	7	NUM
ejpam-6711	254	33	8	8	NUM
ejpam-6711	254	34	9	9	NUM
ejpam-6711	254	35	t	t	NOUN
ejpam-6711	254	36	h	h	NOUN
ejpam-6711	254	37	start	start	VERB
ejpam-6711	254	38	end	end	NOUN
ejpam-6711	254	39	0	0	NUM
ejpam-6711	254	40	20	20	NUM
ejpam-6711	254	41	40	40	NUM
ejpam-6711	254	42	60	60	NUM
ejpam-6711	254	43	80	80	NUM
ejpam-6711	254	44	100	100	NUM
ejpam-6711	254	45	120	120	NUM
ejpam-6711	254	46	140	140	NUM
ejpam-6711	254	47	ti	ti	NOUN
ejpam-6711	254	48	m	m	NOUN
ejpam-6711	254	49	e	e	NOUN
ejpam-6711	254	50	(	(	PUNCT
ejpam-6711	254	51	a	a	X
ejpam-6711	254	52	)	)	PUNCT
ejpam-6711	254	53	i	i	PROPN
ejpam-6711	254	54	d	d	PROPN
ejpam-6711	254	55	vs	vs	ADP
ejpam-6711	254	56	th	th	NUM
ejpam-6711	254	57	2	2	NUM
ejpam-6711	254	58	3	3	NUM
ejpam-6711	254	59	4	4	NUM
ejpam-6711	254	60	5	5	NUM
ejpam-6711	254	61	6	6	NUM
ejpam-6711	254	62	7	7	NUM
ejpam-6711	254	63	i	i	NOUN
ejpam-6711	254	64	d	d	PROPN
ejpam-6711	254	65	4	4	NUM
ejpam-6711	254	66	6	6	NUM
ejpam-6711	254	67	8	8	NUM
ejpam-6711	254	68	10	10	NUM
ejpam-6711	254	69	t	t	NOUN
ejpam-6711	254	70	p	p	NOUN
ejpam-6711	254	71	start	start	NOUN
ejpam-6711	254	72	end	end	NOUN
ejpam-6711	254	73	0	0	NUM
ejpam-6711	254	74	20	20	NUM
ejpam-6711	254	75	40	40	NUM
ejpam-6711	254	76	60	60	NUM
ejpam-6711	254	77	80	80	NUM
ejpam-6711	254	78	100	100	NUM
ejpam-6711	254	79	120	120	NUM
ejpam-6711	254	80	140	140	NUM
ejpam-6711	254	81	ti	ti	NOUN
ejpam-6711	254	82	m	m	NOUN
ejpam-6711	254	83	e	e	NOUN
ejpam-6711	254	84	(	(	PUNCT
ejpam-6711	254	85	b	b	X
ejpam-6711	254	86	)	)	PUNCT
ejpam-6711	255	1	i	i	PROPN
ejpam-6711	256	1	d	d	PROPN
ejpam-6711	256	2	vs	vs	ADP
ejpam-6711	256	3	tp	tp	ADP
ejpam-6711	256	4	10	10	NUM
ejpam-6711	256	5	20	20	NUM
ejpam-6711	256	6	30	30	NUM
ejpam-6711	256	7	40	40	NUM
ejpam-6711	256	8	50	50	NUM
ejpam-6711	256	9	sd	sd	NOUN
ejpam-6711	256	10	0	0	NUM
ejpam-6711	256	11	2	2	NUM
ejpam-6711	256	12	4	4	NUM
ejpam-6711	256	13	6	6	NUM
ejpam-6711	256	14	8	8	NUM
ejpam-6711	256	15	10	10	NUM
ejpam-6711	256	16	12	12	NUM
ejpam-6711	256	17	14	14	NUM
ejpam-6711	256	18	p	p	NOUN
ejpam-6711	256	19	start	start	NOUN
ejpam-6711	256	20	end	end	NOUN
ejpam-6711	256	21	0	0	NUM
ejpam-6711	256	22	20	20	NUM
ejpam-6711	256	23	40	40	NUM
ejpam-6711	256	24	60	60	NUM
ejpam-6711	256	25	80	80	NUM
ejpam-6711	256	26	100	100	NUM
ejpam-6711	256	27	120	120	NUM
ejpam-6711	256	28	140	140	NUM
ejpam-6711	256	29	ti	ti	NOUN
ejpam-6711	256	30	m	m	NOUN
ejpam-6711	256	31	e	e	NOUN
ejpam-6711	256	32	(	(	PUNCT
ejpam-6711	256	33	c	c	NOUN
ejpam-6711	256	34	)	)	PUNCT
ejpam-6711	256	35	sd	sd	NOUN
ejpam-6711	256	36	vs	vs	ADP
ejpam-6711	256	37	p	p	PROPN
ejpam-6711	256	38	10	10	NUM
ejpam-6711	256	39	20	20	NUM
ejpam-6711	256	40	30	30	NUM
ejpam-6711	256	41	40	40	NUM
ejpam-6711	256	42	50	50	NUM
ejpam-6711	256	43	sd	sd	ADP
ejpam-6711	256	44	20	20	NUM
ejpam-6711	256	45	40	40	NUM
ejpam-6711	256	46	60	60	NUM
ejpam-6711	256	47	80	80	NUM
ejpam-6711	256	48	100	100	NUM
ejpam-6711	256	49	s	s	VERB
ejpam-6711	256	50	i	i	PRON
ejpam-6711	256	51	start	start	VERB
ejpam-6711	256	52	end	end	NOUN
ejpam-6711	256	53	0	0	NUM
ejpam-6711	256	54	20	20	NUM
ejpam-6711	256	55	40	40	NUM
ejpam-6711	256	56	60	60	NUM
ejpam-6711	256	57	80	80	NUM
ejpam-6711	256	58	100	100	NUM
ejpam-6711	256	59	120	120	NUM
ejpam-6711	256	60	140	140	NUM
ejpam-6711	256	61	ti	ti	NOUN
ejpam-6711	256	62	m	m	NOUN
ejpam-6711	256	63	e	e	NOUN
ejpam-6711	256	64	(	(	PUNCT
ejpam-6711	256	65	d	d	NOUN
ejpam-6711	256	66	)	)	PUNCT
ejpam-6711	256	67	sd	sd	NOUN
ejpam-6711	256	68	vs	vs	ADP
ejpam-6711	256	69	si	si	PROPN
ejpam-6711	256	70	20	20	NUM
ejpam-6711	256	71	40	40	NUM
ejpam-6711	256	72	60	60	NUM
ejpam-6711	256	73	80	80	NUM
ejpam-6711	256	74	100	100	NUM
ejpam-6711	256	75	si	si	NOUN
ejpam-6711	256	76	0	0	NUM
ejpam-6711	256	77	2	2	NUM
ejpam-6711	256	78	4	4	NUM
ejpam-6711	256	79	6	6	NUM
ejpam-6711	256	80	8	8	NUM
ejpam-6711	256	81	10	10	NUM
ejpam-6711	256	82	12	12	NUM
ejpam-6711	256	83	14	14	NUM
ejpam-6711	256	84	p	p	NOUN
ejpam-6711	256	85	start	start	NOUN
ejpam-6711	256	86	end	end	NOUN
ejpam-6711	256	87	0	0	NUM
ejpam-6711	256	88	20	20	NUM
ejpam-6711	256	89	40	40	NUM
ejpam-6711	256	90	60	60	NUM
ejpam-6711	256	91	80	80	NUM
ejpam-6711	256	92	100	100	NUM
ejpam-6711	256	93	120	120	NUM
ejpam-6711	256	94	140	140	NUM
ejpam-6711	256	95	ti	ti	NOUN
ejpam-6711	256	96	m	m	NOUN
ejpam-6711	256	97	e	e	NOUN
ejpam-6711	256	98	(	(	PUNCT
ejpam-6711	256	99	e	e	NOUN
ejpam-6711	256	100	)	)	PUNCT
ejpam-6711	256	101	si	si	X
ejpam-6711	257	1	vs	vs	ADP
ejpam-6711	257	2	p	p	PROPN
ejpam-6711	257	3	2	2	NUM
ejpam-6711	257	4	3	3	NUM
ejpam-6711	257	5	4	4	NUM
ejpam-6711	257	6	5	5	NUM
ejpam-6711	257	7	6	6	NUM
ejpam-6711	257	8	7	7	NUM
ejpam-6711	257	9	8	8	NUM
ejpam-6711	257	10	9	9	NUM
ejpam-6711	257	11	th	th	ADP
ejpam-6711	257	12	2.5	2.5	NUM
ejpam-6711	257	13	5.0	5.0	NUM
ejpam-6711	257	14	7.5	7.5	NUM
ejpam-6711	257	15	10.0	10.0	NUM
ejpam-6711	257	16	12.5	12.5	NUM
ejpam-6711	257	17	15.0	15.0	NUM
ejpam-6711	257	18	17.5	17.5	NUM
ejpam-6711	257	19	r	r	NOUN
ejpam-6711	257	20	start	start	NOUN
ejpam-6711	257	21	end	end	NOUN
ejpam-6711	257	22	0	0	NUM
ejpam-6711	257	23	20	20	NUM
ejpam-6711	257	24	40	40	NUM
ejpam-6711	257	25	60	60	NUM
ejpam-6711	257	26	80	80	NUM
ejpam-6711	257	27	100	100	NUM
ejpam-6711	257	28	120	120	NUM
ejpam-6711	257	29	140	140	NUM
ejpam-6711	257	30	ti	ti	NOUN
ejpam-6711	257	31	m	m	NOUN
ejpam-6711	257	32	e	e	NOUN
ejpam-6711	257	33	(	(	PUNCT
ejpam-6711	257	34	f	f	X
ejpam-6711	257	35	)	)	PUNCT
ejpam-6711	257	36	th	th	X
ejpam-6711	257	37	vs	vs	ADP
ejpam-6711	257	38	r	r	NOUN
ejpam-6711	257	39	4	4	NUM
ejpam-6711	257	40	6	6	NUM
ejpam-6711	257	41	8	8	NUM
ejpam-6711	257	42	10	10	NUM
ejpam-6711	257	43	tp	tp	ADP
ejpam-6711	257	44	2.5	2.5	NUM
ejpam-6711	257	45	5.0	5.0	NUM
ejpam-6711	257	46	7.5	7.5	NUM
ejpam-6711	257	47	10.0	10.0	NUM
ejpam-6711	257	48	12.5	12.5	NUM
ejpam-6711	257	49	15.0	15.0	NUM
ejpam-6711	257	50	17.5	17.5	NUM
ejpam-6711	257	51	r	r	NOUN
ejpam-6711	257	52	start	start	NOUN
ejpam-6711	257	53	end	end	NOUN
ejpam-6711	257	54	0	0	NUM
ejpam-6711	257	55	20	20	NUM
ejpam-6711	257	56	40	40	NUM
ejpam-6711	257	57	60	60	NUM
ejpam-6711	257	58	80	80	NUM
ejpam-6711	257	59	100	100	NUM
ejpam-6711	257	60	120	120	NUM
ejpam-6711	257	61	140	140	NUM
ejpam-6711	257	62	ti	ti	NOUN
ejpam-6711	257	63	m	m	NOUN
ejpam-6711	257	64	e	e	NOUN
ejpam-6711	257	65	(	(	PUNCT
ejpam-6711	257	66	g	g	NOUN
ejpam-6711	257	67	)	)	PUNCT
ejpam-6711	257	68	tp	tp	ADP
ejpam-6711	257	69	vs	vs	ADP
ejpam-6711	257	70	r	r	NOUN
ejpam-6711	257	71	4	4	NUM
ejpam-6711	257	72	6	6	NUM
ejpam-6711	257	73	8	8	NUM
ejpam-6711	257	74	10	10	NUM
ejpam-6711	257	75	tp	tp	NOUN
ejpam-6711	257	76	2	2	NUM
ejpam-6711	257	77	3	3	NUM
ejpam-6711	257	78	4	4	NUM
ejpam-6711	257	79	5	5	NUM
ejpam-6711	257	80	6	6	NUM
ejpam-6711	257	81	7	7	NUM
ejpam-6711	257	82	8	8	NUM
ejpam-6711	257	83	9	9	NUM
ejpam-6711	257	84	t	t	NOUN
ejpam-6711	257	85	h	h	NOUN
ejpam-6711	257	86	start	start	VERB
ejpam-6711	257	87	end	end	NOUN
ejpam-6711	257	88	0	0	NUM
ejpam-6711	257	89	20	20	NUM
ejpam-6711	257	90	40	40	NUM
ejpam-6711	257	91	60	60	NUM
ejpam-6711	257	92	80	80	NUM
ejpam-6711	257	93	100	100	NUM
ejpam-6711	257	94	120	120	NUM
ejpam-6711	257	95	140	140	NUM
ejpam-6711	257	96	ti	ti	NOUN
ejpam-6711	257	97	m	m	NOUN
ejpam-6711	257	98	e	e	NOUN
ejpam-6711	257	99	(	(	PUNCT
ejpam-6711	257	100	h	h	NOUN
ejpam-6711	257	101	)	)	PUNCT
ejpam-6711	257	102	tp	tp	NOUN
ejpam-6711	257	103	vs	vs	ADP
ejpam-6711	257	104	th	th	X
ejpam-6711	257	105	figure	figure	NOUN
ejpam-6711	257	106	11	11	NUM
ejpam-6711	257	107	:	:	PUNCT
ejpam-6711	257	108	phase	phase	NOUN
ejpam-6711	257	109	plots	plot	NOUN
ejpam-6711	257	110	of	of	ADP
ejpam-6711	257	111	key	key	ADJ
ejpam-6711	257	112	compartment	compartment	NOUN
ejpam-6711	257	113	pairs	pair	NOUN
ejpam-6711	257	114	illustrating	illustrate	VERB
ejpam-6711	257	115	the	the	DET
ejpam-6711	257	116	dynamic	dynamic	ADJ
ejpam-6711	257	117	interactions	interaction	NOUN
ejpam-6711	257	118	in	in	ADP
ejpam-6711	257	119	the	the	DET
ejpam-6711	257	120	drug	drug	NOUN
ejpam-6711	257	121	abuse	abuse	NOUN
ejpam-6711	257	122	model	model	NOUN
ejpam-6711	257	123	(	(	PUNCT
ejpam-6711	257	124	2.1	2.1	NUM
ejpam-6711	257	125	)	)	PUNCT
ejpam-6711	257	126	.	.	PUNCT
ejpam-6711	258	1	l.	l.	PROPN
ejpam-6711	258	2	yaseen	yaseen	PROPN
ejpam-6711	258	3	et	et	PROPN
ejpam-6711	258	4	al	al	PROPN
ejpam-6711	258	5	.	.	PUNCT
ejpam-6711	258	6	/	/	SYM
ejpam-6711	258	7	eur	eur	PROPN
ejpam-6711	258	8	.	.	PUNCT
ejpam-6711	259	1	j.	j.	PROPN
ejpam-6711	259	2	pure	pure	PROPN
ejpam-6711	259	3	appl	appl	PROPN
ejpam-6711	259	4	.	.	PROPN
ejpam-6711	259	5	math	math	PROPN
ejpam-6711	259	6	,	,	PUNCT
ejpam-6711	259	7	18	18	NUM
ejpam-6711	259	8	(	(	PUNCT
ejpam-6711	259	9	4	4	NUM
ejpam-6711	259	10	)	)	PUNCT
ejpam-6711	259	11	(	(	PUNCT
ejpam-6711	259	12	2025	2025	NUM
ejpam-6711	259	13	)	)	PUNCT
ejpam-6711	259	14	,	,	PUNCT
ejpam-6711	259	15	6711	6711	NUM
ejpam-6711	259	16	19	19	NUM
ejpam-6711	259	17	of	of	ADP
ejpam-6711	259	18	29	29	NUM
ejpam-6711	259	19	6.1	6.1	NUM
ejpam-6711	259	20	.	.	PUNCT
ejpam-6711	260	1	parameter	parameter	NOUN
ejpam-6711	260	2	variation	variation	NOUN
ejpam-6711	260	3	effects	effect	NOUN
ejpam-6711	260	4	on	on	ADP
ejpam-6711	260	5	model	model	NOUN
ejpam-6711	260	6	(	(	PUNCT
ejpam-6711	260	7	2.1	2.1	NUM
ejpam-6711	260	8	)	)	PUNCT
ejpam-6711	260	9	figures	figure	NOUN
ejpam-6711	260	10	12–16	12–16	NUM
ejpam-6711	260	11	illustrate	illustrate	VERB
ejpam-6711	260	12	the	the	DET
ejpam-6711	260	13	impact	impact	NOUN
ejpam-6711	260	14	of	of	ADP
ejpam-6711	260	15	varying	vary	VERB
ejpam-6711	260	16	key	key	ADJ
ejpam-6711	260	17	model	model	NOUN
ejpam-6711	260	18	parameters	parameter	NOUN
ejpam-6711	260	19	on	on	ADP
ejpam-6711	260	20	the	the	DET
ejpam-6711	260	21	dynamics	dynamic	NOUN
ejpam-6711	260	22	of	of	ADP
ejpam-6711	260	23	all	all	DET
ejpam-6711	260	24	compartments	compartment	NOUN
ejpam-6711	260	25	in	in	ADP
ejpam-6711	260	26	model	model	NOUN
ejpam-6711	260	27	(	(	PUNCT
ejpam-6711	260	28	2.1	2.1	NUM
ejpam-6711	260	29	)	)	PUNCT
ejpam-6711	260	30	.	.	PUNCT
ejpam-6711	261	1	each	each	DET
ejpam-6711	261	2	figure	figure	NOUN
ejpam-6711	261	3	shows	show	VERB
ejpam-6711	261	4	the	the	DET
ejpam-6711	261	5	time	time	NOUN
ejpam-6711	261	6	evolution	evolution	NOUN
ejpam-6711	261	7	of	of	ADP
ejpam-6711	261	8	the	the	DET
ejpam-6711	261	9	model	model	NOUN
ejpam-6711	261	10	populations	population	NOUN
ejpam-6711	261	11	under	under	ADP
ejpam-6711	261	12	different	different	ADJ
ejpam-6711	261	13	values	value	NOUN
ejpam-6711	261	14	of	of	ADP
ejpam-6711	261	15	the	the	DET
ejpam-6711	261	16	respective	respective	ADJ
ejpam-6711	261	17	parameter	parameter	NOUN
ejpam-6711	261	18	,	,	PUNCT
ejpam-6711	261	19	providing	provide	VERB
ejpam-6711	261	20	direct	direct	ADJ
ejpam-6711	261	21	insight	insight	NOUN
ejpam-6711	261	22	into	into	ADP
ejpam-6711	261	23	the	the	DET
ejpam-6711	261	24	system	system	NOUN
ejpam-6711	261	25	’s	’s	PART
ejpam-6711	261	26	sensitivity	sensitivity	NOUN
ejpam-6711	261	27	and	and	CCONJ
ejpam-6711	261	28	potential	potential	ADJ
ejpam-6711	261	29	intervention	intervention	NOUN
ejpam-6711	261	30	points	point	NOUN
ejpam-6711	261	31	.	.	PUNCT
ejpam-6711	262	1	the	the	DET
ejpam-6711	262	2	figure	figure	NOUN
ejpam-6711	262	3	12	12	NUM
ejpam-6711	262	4	show	show	NOUN
ejpam-6711	262	5	that	that	SCONJ
ejpam-6711	262	6	increasing	increase	VERB
ejpam-6711	262	7	the	the	DET
ejpam-6711	262	8	infectivity	infectivity	NOUN
ejpam-6711	262	9	modification	modification	NOUN
ejpam-6711	262	10	parameter	parameter	PROPN
ejpam-6711	262	11	η	η	PROPN
ejpam-6711	262	12	would	would	AUX
ejpam-6711	262	13	be	be	AUX
ejpam-6711	262	14	expected	expect	VERB
ejpam-6711	262	15	to	to	PART
ejpam-6711	262	16	amplify	amplify	VERB
ejpam-6711	262	17	the	the	DET
ejpam-6711	262	18	spread	spread	NOUN
ejpam-6711	262	19	of	of	ADP
ejpam-6711	262	20	drug	drug	NOUN
ejpam-6711	262	21	abuse	abuse	NOUN
ejpam-6711	262	22	,	,	PUNCT
ejpam-6711	262	23	raising	raise	VERB
ejpam-6711	262	24	the	the	DET
ejpam-6711	262	25	peaks	peak	NOUN
ejpam-6711	262	26	of	of	ADP
ejpam-6711	262	27	p	p	NOUN
ejpam-6711	262	28	,	,	PUNCT
ejpam-6711	262	29	i	i	PROPN
ejpam-6711	262	30	d	d	PROPN
ejpam-6711	262	31	,	,	PUNCT
ejpam-6711	262	32	and	and	CCONJ
ejpam-6711	262	33	treatment	treatment	NOUN
ejpam-6711	262	34	compartments	compartment	NOUN
ejpam-6711	262	35	,	,	PUNCT
ejpam-6711	262	36	and	and	CCONJ
ejpam-6711	262	37	accelerating	accelerate	VERB
ejpam-6711	262	38	the	the	DET
ejpam-6711	262	39	decline	decline	NOUN
ejpam-6711	262	40	of	of	ADP
ejpam-6711	262	41	susceptible	susceptible	ADJ
ejpam-6711	262	42	classes	class	NOUN
ejpam-6711	262	43	,	,	PUNCT
ejpam-6711	262	44	consistent	consistent	ADJ
ejpam-6711	262	45	with	with	ADP
ejpam-6711	262	46	the	the	DET
ejpam-6711	262	47	trends	trend	NOUN
ejpam-6711	262	48	observed	observe	VERB
ejpam-6711	262	49	for	for	ADP
ejpam-6711	262	50	β1	β1	PROPN
ejpam-6711	262	51	.	.	PUNCT
ejpam-6711	263	1	0	0	NUM
ejpam-6711	264	1	20	20	NUM
ejpam-6711	264	2	40	40	NUM
ejpam-6711	264	3	60	60	NUM
ejpam-6711	264	4	80	80	NUM
ejpam-6711	264	5	100	100	NUM
ejpam-6711	264	6	time	time	NOUN
ejpam-6711	264	7	(	(	PUNCT
ejpam-6711	264	8	days	day	NOUN
ejpam-6711	264	9	)	)	PUNCT
ejpam-6711	264	10	20	20	NUM
ejpam-6711	264	11	40	40	NUM
ejpam-6711	264	12	60	60	NUM
ejpam-6711	264	13	80	80	NUM
ejpam-6711	264	14	100	100	NUM
ejpam-6711	264	15	po	po	X
ejpam-6711	264	16	pu	pu	PROPN
ejpam-6711	264	17	la	la	PROPN
ejpam-6711	264	18	tio	tio	PROPN
ejpam-6711	264	19	n	n	PROPN
ejpam-6711	264	20	(	(	PUNCT
ejpam-6711	264	21	a	a	X
ejpam-6711	264	22	)	)	PUNCT
ejpam-6711	264	23	si	si	NOUN
ejpam-6711	265	1	1=0.2	1=0.2	NUM
ejpam-6711	265	2	1=0.3	1=0.3	NUM
ejpam-6711	265	3	1=0.4	1=0.4	NUM
ejpam-6711	265	4	1=0.5	1=0.5	NUM
ejpam-6711	265	5	0	0	NUM
ejpam-6711	265	6	20	20	NUM
ejpam-6711	265	7	40	40	NUM
ejpam-6711	265	8	60	60	NUM
ejpam-6711	265	9	80	80	NUM
ejpam-6711	265	10	100	100	NUM
ejpam-6711	265	11	time	time	NOUN
ejpam-6711	265	12	(	(	PUNCT
ejpam-6711	265	13	days	day	NOUN
ejpam-6711	265	14	)	)	PUNCT
ejpam-6711	265	15	10	10	NUM
ejpam-6711	265	16	20	20	NUM
ejpam-6711	265	17	30	30	NUM
ejpam-6711	265	18	40	40	NUM
ejpam-6711	265	19	50	50	NUM
ejpam-6711	265	20	po	po	NOUN
ejpam-6711	265	21	pu	pu	PROPN
ejpam-6711	265	22	la	la	PROPN
ejpam-6711	265	23	tio	tio	PROPN
ejpam-6711	265	24	n	n	PROPN
ejpam-6711	265	25	(	(	PUNCT
ejpam-6711	265	26	b	b	NOUN
ejpam-6711	265	27	)	)	PUNCT
ejpam-6711	265	28	sd	sd	ADP
ejpam-6711	265	29	1=0.2	1=0.2	NUM
ejpam-6711	265	30	1=0.3	1=0.3	NUM
ejpam-6711	265	31	1=0.4	1=0.4	NUM
ejpam-6711	265	32	1=0.5	1=0.5	NUM
ejpam-6711	265	33	0	0	NUM
ejpam-6711	265	34	20	20	NUM
ejpam-6711	265	35	40	40	NUM
ejpam-6711	265	36	60	60	NUM
ejpam-6711	265	37	80	80	NUM
ejpam-6711	265	38	100	100	NUM
ejpam-6711	265	39	time	time	NOUN
ejpam-6711	265	40	(	(	PUNCT
ejpam-6711	265	41	days	day	NOUN
ejpam-6711	265	42	)	)	PUNCT
ejpam-6711	265	43	0	0	NUM
ejpam-6711	265	44	5	5	NUM
ejpam-6711	265	45	10	10	NUM
ejpam-6711	265	46	15	15	NUM
ejpam-6711	265	47	20	20	NUM
ejpam-6711	265	48	25	25	NUM
ejpam-6711	265	49	30	30	NUM
ejpam-6711	265	50	po	po	NOUN
ejpam-6711	265	51	pu	pu	PROPN
ejpam-6711	265	52	la	la	PROPN
ejpam-6711	265	53	tio	tio	PROPN
ejpam-6711	265	54	n	n	PROPN
ejpam-6711	265	55	(	(	PUNCT
ejpam-6711	265	56	c	c	NOUN
ejpam-6711	265	57	)	)	PUNCT
ejpam-6711	265	58	p	p	NOUN
ejpam-6711	266	1	1=0.2	1=0.2	NUM
ejpam-6711	266	2	1=0.3	1=0.3	NUM
ejpam-6711	266	3	1=0.4	1=0.4	NUM
ejpam-6711	266	4	1=0.5	1=0.5	NUM
ejpam-6711	266	5	0	0	NUM
ejpam-6711	266	6	20	20	NUM
ejpam-6711	266	7	40	40	NUM
ejpam-6711	266	8	60	60	NUM
ejpam-6711	266	9	80	80	NUM
ejpam-6711	266	10	100	100	NUM
ejpam-6711	266	11	time	time	NOUN
ejpam-6711	266	12	(	(	PUNCT
ejpam-6711	266	13	days	day	NOUN
ejpam-6711	266	14	)	)	PUNCT
ejpam-6711	266	15	2	2	NUM
ejpam-6711	266	16	4	4	NUM
ejpam-6711	266	17	6	6	NUM
ejpam-6711	266	18	8	8	NUM
ejpam-6711	266	19	10	10	NUM
ejpam-6711	266	20	12	12	NUM
ejpam-6711	266	21	14	14	NUM
ejpam-6711	266	22	po	po	NOUN
ejpam-6711	266	23	pu	pu	PROPN
ejpam-6711	266	24	la	la	PROPN
ejpam-6711	266	25	tio	tio	PROPN
ejpam-6711	266	26	n	n	PROPN
ejpam-6711	266	27	(	(	PUNCT
ejpam-6711	266	28	d	d	X
ejpam-6711	266	29	)	)	PUNCT
ejpam-6711	267	1	i	i	NOUN
ejpam-6711	268	1	d	d	NOUN
ejpam-6711	269	1	1=0.2	1=0.2	NUM
ejpam-6711	270	1	1=0.3	1=0.3	NUM
ejpam-6711	270	2	1=0.4	1=0.4	NUM
ejpam-6711	270	3	1=0.5	1=0.5	NUM
ejpam-6711	270	4	0	0	NUM
ejpam-6711	270	5	20	20	NUM
ejpam-6711	270	6	40	40	NUM
ejpam-6711	270	7	60	60	NUM
ejpam-6711	270	8	80	80	NUM
ejpam-6711	270	9	100	100	NUM
ejpam-6711	270	10	time	time	NOUN
ejpam-6711	270	11	(	(	PUNCT
ejpam-6711	270	12	days	day	NOUN
ejpam-6711	270	13	)	)	PUNCT
ejpam-6711	270	14	4	4	NUM
ejpam-6711	270	15	6	6	NUM
ejpam-6711	270	16	8	8	NUM
ejpam-6711	270	17	10	10	NUM
ejpam-6711	270	18	12	12	NUM
ejpam-6711	270	19	14	14	NUM
ejpam-6711	270	20	16	16	NUM
ejpam-6711	270	21	po	po	NOUN
ejpam-6711	270	22	pu	pu	PROPN
ejpam-6711	270	23	la	la	PROPN
ejpam-6711	271	1	tio	tio	PROPN
ejpam-6711	272	1	n	n	PROPN
ejpam-6711	273	1	(	(	PUNCT
ejpam-6711	273	2	e	e	NOUN
ejpam-6711	273	3	)	)	PUNCT
ejpam-6711	273	4	tp	tp	ADP
ejpam-6711	273	5	1=0.2	1=0.2	NUM
ejpam-6711	273	6	1=0.3	1=0.3	NUM
ejpam-6711	273	7	1=0.4	1=0.4	NUM
ejpam-6711	274	1	1=0.5	1=0.5	NUM
ejpam-6711	274	2	0	0	NUM
ejpam-6711	274	3	20	20	NUM
ejpam-6711	274	4	40	40	NUM
ejpam-6711	274	5	60	60	NUM
ejpam-6711	274	6	80	80	NUM
ejpam-6711	274	7	100	100	NUM
ejpam-6711	274	8	time	time	NOUN
ejpam-6711	274	9	(	(	PUNCT
ejpam-6711	274	10	days	day	NOUN
ejpam-6711	274	11	)	)	PUNCT
ejpam-6711	274	12	2	2	NUM
ejpam-6711	274	13	4	4	NUM
ejpam-6711	274	14	6	6	NUM
ejpam-6711	274	15	8	8	NUM
ejpam-6711	274	16	10	10	NUM
ejpam-6711	274	17	12	12	NUM
ejpam-6711	274	18	14	14	NUM
ejpam-6711	274	19	po	po	NOUN
ejpam-6711	274	20	pu	pu	PROPN
ejpam-6711	274	21	la	la	PROPN
ejpam-6711	274	22	tio	tio	PROPN
ejpam-6711	274	23	n	n	PROPN
ejpam-6711	274	24	(	(	PUNCT
ejpam-6711	274	25	f	f	X
ejpam-6711	274	26	)	)	PUNCT
ejpam-6711	274	27	th	th	X
ejpam-6711	274	28	1=0.2	1=0.2	NUM
ejpam-6711	274	29	1=0.3	1=0.3	NUM
ejpam-6711	274	30	1=0.4	1=0.4	NUM
ejpam-6711	274	31	1=0.5	1=0.5	NUM
ejpam-6711	274	32	0	0	NUM
ejpam-6711	274	33	20	20	NUM
ejpam-6711	274	34	40	40	NUM
ejpam-6711	274	35	60	60	NUM
ejpam-6711	274	36	80	80	NUM
ejpam-6711	274	37	100	100	NUM
ejpam-6711	274	38	time	time	NOUN
ejpam-6711	274	39	(	(	PUNCT
ejpam-6711	274	40	days	day	NOUN
ejpam-6711	274	41	)	)	PUNCT
ejpam-6711	274	42	0	0	NUM
ejpam-6711	274	43	5	5	NUM
ejpam-6711	274	44	10	10	NUM
ejpam-6711	274	45	15	15	NUM
ejpam-6711	274	46	20	20	NUM
ejpam-6711	274	47	25	25	NUM
ejpam-6711	274	48	po	po	NOUN
ejpam-6711	274	49	pu	pu	PROPN
ejpam-6711	274	50	la	la	PROPN
ejpam-6711	274	51	tio	tio	PROPN
ejpam-6711	274	52	n	n	PROPN
ejpam-6711	274	53	(	(	PUNCT
ejpam-6711	274	54	g	g	NOUN
ejpam-6711	274	55	)	)	PUNCT
ejpam-6711	274	56	r	r	NOUN
ejpam-6711	274	57	1=0.2	1=0.2	NUM
ejpam-6711	274	58	1=0.3	1=0.3	NUM
ejpam-6711	274	59	1=0.4	1=0.4	NUM
ejpam-6711	274	60	1=0.5	1=0.5	NUM
ejpam-6711	274	61	figure	figure	NOUN
ejpam-6711	274	62	12	12	NUM
ejpam-6711	274	63	:	:	PUNCT
ejpam-6711	274	64	effect	effect	NOUN
ejpam-6711	274	65	of	of	ADP
ejpam-6711	274	66	β1	β1	PROPN
ejpam-6711	274	67	on	on	ADP
ejpam-6711	274	68	the	the	DET
ejpam-6711	274	69	model	model	NOUN
ejpam-6711	274	70	(	(	PUNCT
ejpam-6711	274	71	2.1	2.1	NUM
ejpam-6711	274	72	)	)	PUNCT
ejpam-6711	274	73	figure	figure	NOUN
ejpam-6711	274	74	13	13	NUM
ejpam-6711	274	75	demonstrates	demonstrate	VERB
ejpam-6711	274	76	that	that	SCONJ
ejpam-6711	274	77	increasing	increase	VERB
ejpam-6711	274	78	the	the	DET
ejpam-6711	274	79	transition	transition	NOUN
ejpam-6711	274	80	rate	rate	NOUN
ejpam-6711	274	81	from	from	ADP
ejpam-6711	274	82	high	high	ADJ
ejpam-6711	274	83	-	-	PUNCT
ejpam-6711	274	84	risk	risk	NOUN
ejpam-6711	274	85	to	to	ADP
ejpam-6711	274	86	low	low	ADJ
ejpam-6711	274	87	-	-	PUNCT
ejpam-6711	274	88	risk	risk	NOUN
ejpam-6711	274	89	susceptibility	susceptibility	NOUN
ejpam-6711	274	90	(	(	PUNCT
ejpam-6711	274	91	δ1	δ1	NOUN
ejpam-6711	274	92	)	)	PUNCT
ejpam-6711	274	93	results	result	NOUN
ejpam-6711	274	94	in	in	ADP
ejpam-6711	274	95	a	a	DET
ejpam-6711	274	96	marked	mark	VERB
ejpam-6711	274	97	decrease	decrease	NOUN
ejpam-6711	274	98	in	in	ADP
ejpam-6711	274	99	the	the	DET
ejpam-6711	274	100	high	high	ADJ
ejpam-6711	274	101	-	-	PUNCT
ejpam-6711	274	102	risk	risk	NOUN
ejpam-6711	274	103	susceptible	susceptible	ADJ
ejpam-6711	274	104	(	(	PUNCT
ejpam-6711	274	105	si	si	NOUN
ejpam-6711	274	106	)	)	PUNCT
ejpam-6711	274	107	and	and	CCONJ
ejpam-6711	274	108	untreated	untreated	ADJ
ejpam-6711	274	109	abuser	abuser	NOUN
ejpam-6711	274	110	(	(	PUNCT
ejpam-6711	274	111	i	i	PROPN
ejpam-6711	274	112	d	d	PROPN
ejpam-6711	274	113	)	)	PUNCT
ejpam-6711	274	114	populations	population	NOUN
ejpam-6711	274	115	,	,	PUNCT
ejpam-6711	274	116	while	while	SCONJ
ejpam-6711	274	117	the	the	DET
ejpam-6711	274	118	low	low	ADJ
ejpam-6711	274	119	-	-	PUNCT
ejpam-6711	274	120	risk	risk	NOUN
ejpam-6711	274	121	susceptible	susceptible	ADJ
ejpam-6711	274	122	(	(	PUNCT
ejpam-6711	274	123	sd	sd	NOUN
ejpam-6711	274	124	)	)	PUNCT
ejpam-6711	274	125	and	and	CCONJ
ejpam-6711	274	126	recovered	recover	VERB
ejpam-6711	274	127	(	(	PUNCT
ejpam-6711	274	128	r	r	NOUN
ejpam-6711	274	129	)	)	PUNCT
ejpam-6711	274	130	populations	population	NOUN
ejpam-6711	274	131	increase	increase	NOUN
ejpam-6711	274	132	.	.	PUNCT
ejpam-6711	275	1	this	this	PRON
ejpam-6711	275	2	indicates	indicate	VERB
ejpam-6711	275	3	that	that	SCONJ
ejpam-6711	275	4	interventions	intervention	NOUN
ejpam-6711	275	5	promoting	promote	VERB
ejpam-6711	275	6	transition	transition	NOUN
ejpam-6711	275	7	to	to	PART
ejpam-6711	275	8	lower	low	ADJ
ejpam-6711	275	9	risk	risk	NOUN
ejpam-6711	275	10	can	can	AUX
ejpam-6711	275	11	effectively	effectively	ADV
ejpam-6711	275	12	reduce	reduce	VERB
ejpam-6711	275	13	the	the	DET
ejpam-6711	275	14	epidemic	epidemic	NOUN
ejpam-6711	275	15	burden	burden	NOUN
ejpam-6711	275	16	.	.	PUNCT
ejpam-6711	276	1	l.	l.	PROPN
ejpam-6711	276	2	yaseen	yaseen	PROPN
ejpam-6711	276	3	et	et	PROPN
ejpam-6711	276	4	al	al	PROPN
ejpam-6711	276	5	.	.	PUNCT
ejpam-6711	276	6	/	/	SYM
ejpam-6711	276	7	eur	eur	PROPN
ejpam-6711	276	8	.	.	PUNCT
ejpam-6711	277	1	j.	j.	PROPN
ejpam-6711	277	2	pure	pure	PROPN
ejpam-6711	277	3	appl	appl	PROPN
ejpam-6711	277	4	.	.	PROPN
ejpam-6711	277	5	math	math	PROPN
ejpam-6711	277	6	,	,	PUNCT
ejpam-6711	277	7	18	18	NUM
ejpam-6711	277	8	(	(	PUNCT
ejpam-6711	277	9	4	4	NUM
ejpam-6711	277	10	)	)	PUNCT
ejpam-6711	277	11	(	(	PUNCT
ejpam-6711	277	12	2025	2025	NUM
ejpam-6711	277	13	)	)	PUNCT
ejpam-6711	277	14	,	,	PUNCT
ejpam-6711	277	15	6711	6711	NUM
ejpam-6711	277	16	20	20	NUM
ejpam-6711	277	17	of	of	ADP
ejpam-6711	277	18	29	29	NUM
ejpam-6711	277	19	0	0	NUM
ejpam-6711	277	20	20	20	NUM
ejpam-6711	277	21	40	40	NUM
ejpam-6711	277	22	60	60	NUM
ejpam-6711	277	23	80	80	NUM
ejpam-6711	277	24	100	100	NUM
ejpam-6711	277	25	time	time	NOUN
ejpam-6711	277	26	(	(	PUNCT
ejpam-6711	277	27	days	day	NOUN
ejpam-6711	277	28	)	)	PUNCT
ejpam-6711	277	29	0	0	NUM
ejpam-6711	277	30	20	20	NUM
ejpam-6711	277	31	40	40	NUM
ejpam-6711	277	32	60	60	NUM
ejpam-6711	277	33	80	80	NUM
ejpam-6711	277	34	100	100	NUM
ejpam-6711	277	35	po	po	X
ejpam-6711	277	36	pu	pu	PROPN
ejpam-6711	277	37	la	la	PROPN
ejpam-6711	277	38	tio	tio	PROPN
ejpam-6711	277	39	n	n	PROPN
ejpam-6711	277	40	(	(	PUNCT
ejpam-6711	277	41	a	a	X
ejpam-6711	277	42	)	)	PUNCT
ejpam-6711	277	43	si	si	NOUN
ejpam-6711	278	1	1=0.01	1=0.01	NUM
ejpam-6711	278	2	1=0.03	1=0.03	NUM
ejpam-6711	278	3	1=0.05	1=0.05	NUM
ejpam-6711	278	4	1=0.07	1=0.07	NUM
ejpam-6711	278	5	0	0	NUM
ejpam-6711	278	6	20	20	NUM
ejpam-6711	278	7	40	40	NUM
ejpam-6711	278	8	60	60	NUM
ejpam-6711	278	9	80	80	NUM
ejpam-6711	278	10	100	100	NUM
ejpam-6711	278	11	time	time	NOUN
ejpam-6711	278	12	(	(	PUNCT
ejpam-6711	278	13	days	day	NOUN
ejpam-6711	278	14	)	)	PUNCT
ejpam-6711	278	15	10	10	NUM
ejpam-6711	278	16	20	20	NUM
ejpam-6711	278	17	30	30	NUM
ejpam-6711	278	18	40	40	NUM
ejpam-6711	278	19	50	50	NUM
ejpam-6711	278	20	60	60	NUM
ejpam-6711	278	21	po	po	NOUN
ejpam-6711	278	22	pu	pu	PROPN
ejpam-6711	278	23	la	la	PROPN
ejpam-6711	278	24	tio	tio	PROPN
ejpam-6711	278	25	n	n	PROPN
ejpam-6711	278	26	(	(	PUNCT
ejpam-6711	278	27	b	b	NOUN
ejpam-6711	278	28	)	)	PUNCT
ejpam-6711	278	29	sd	sd	ADP
ejpam-6711	279	1	1=0.01	1=0.01	NUM
ejpam-6711	279	2	1=0.03	1=0.03	NUM
ejpam-6711	279	3	1=0.05	1=0.05	NUM
ejpam-6711	279	4	1=0.07	1=0.07	NUM
ejpam-6711	279	5	0	0	NUM
ejpam-6711	279	6	20	20	NUM
ejpam-6711	279	7	40	40	NUM
ejpam-6711	279	8	60	60	NUM
ejpam-6711	279	9	80	80	NUM
ejpam-6711	279	10	100	100	NUM
ejpam-6711	279	11	time	time	NOUN
ejpam-6711	279	12	(	(	PUNCT
ejpam-6711	279	13	days	day	NOUN
ejpam-6711	279	14	)	)	PUNCT
ejpam-6711	279	15	0.0	0.0	NUM
ejpam-6711	279	16	2.5	2.5	NUM
ejpam-6711	279	17	5.0	5.0	NUM
ejpam-6711	279	18	7.5	7.5	NUM
ejpam-6711	279	19	10.0	10.0	NUM
ejpam-6711	279	20	12.5	12.5	NUM
ejpam-6711	279	21	15.0	15.0	NUM
ejpam-6711	279	22	17.5	17.5	NUM
ejpam-6711	279	23	20.0	20.0	NUM
ejpam-6711	279	24	po	po	NOUN
ejpam-6711	279	25	pu	pu	PROPN
ejpam-6711	279	26	la	la	PROPN
ejpam-6711	279	27	tio	tio	PROPN
ejpam-6711	280	1	n	n	PROPN
ejpam-6711	280	2	(	(	PUNCT
ejpam-6711	280	3	c	c	NOUN
ejpam-6711	280	4	)	)	PUNCT
ejpam-6711	280	5	p	p	NOUN
ejpam-6711	281	1	1=0.01	1=0.01	NUM
ejpam-6711	281	2	1=0.03	1=0.03	NUM
ejpam-6711	281	3	1=0.05	1=0.05	NUM
ejpam-6711	282	1	1=0.07	1=0.07	NUM
ejpam-6711	282	2	0	0	NUM
ejpam-6711	282	3	20	20	NUM
ejpam-6711	282	4	40	40	NUM
ejpam-6711	282	5	60	60	NUM
ejpam-6711	282	6	80	80	NUM
ejpam-6711	282	7	100	100	NUM
ejpam-6711	282	8	time	time	NOUN
ejpam-6711	282	9	(	(	PUNCT
ejpam-6711	282	10	days	day	NOUN
ejpam-6711	282	11	)	)	PUNCT
ejpam-6711	282	12	3	3	NUM
ejpam-6711	282	13	4	4	NUM
ejpam-6711	282	14	5	5	NUM
ejpam-6711	282	15	6	6	NUM
ejpam-6711	282	16	7	7	NUM
ejpam-6711	282	17	8	8	NUM
ejpam-6711	282	18	9	9	NUM
ejpam-6711	282	19	10	10	NUM
ejpam-6711	282	20	po	po	NOUN
ejpam-6711	282	21	pu	pu	PROPN
ejpam-6711	282	22	la	la	PROPN
ejpam-6711	283	1	tio	tio	PROPN
ejpam-6711	284	1	n	n	PROPN
ejpam-6711	285	1	(	(	PUNCT
ejpam-6711	285	2	d	d	X
ejpam-6711	285	3	)	)	PUNCT
ejpam-6711	285	4	i	i	NOUN
ejpam-6711	286	1	d	d	NOUN
ejpam-6711	286	2	1=0.01	1=0.01	NUM
ejpam-6711	287	1	1=0.03	1=0.03	NUM
ejpam-6711	287	2	1=0.05	1=0.05	NUM
ejpam-6711	287	3	1=0.07	1=0.07	NUM
ejpam-6711	287	4	0	0	NUM
ejpam-6711	287	5	20	20	NUM
ejpam-6711	287	6	40	40	NUM
ejpam-6711	287	7	60	60	NUM
ejpam-6711	287	8	80	80	NUM
ejpam-6711	287	9	100	100	NUM
ejpam-6711	287	10	time	time	NOUN
ejpam-6711	287	11	(	(	PUNCT
ejpam-6711	287	12	days	day	NOUN
ejpam-6711	287	13	)	)	PUNCT
ejpam-6711	287	14	4	4	NUM
ejpam-6711	287	15	6	6	NUM
ejpam-6711	287	16	8	8	NUM
ejpam-6711	287	17	10	10	NUM
ejpam-6711	287	18	12	12	NUM
ejpam-6711	287	19	14	14	NUM
ejpam-6711	287	20	po	po	NOUN
ejpam-6711	287	21	pu	pu	PROPN
ejpam-6711	287	22	la	la	PROPN
ejpam-6711	288	1	tio	tio	PROPN
ejpam-6711	289	1	n	n	PROPN
ejpam-6711	290	1	(	(	PUNCT
ejpam-6711	290	2	e	e	NOUN
ejpam-6711	290	3	)	)	PUNCT
ejpam-6711	290	4	tp	tp	ADP
ejpam-6711	290	5	1=0.01	1=0.01	NUM
ejpam-6711	291	1	1=0.03	1=0.03	NUM
ejpam-6711	291	2	1=0.05	1=0.05	NUM
ejpam-6711	291	3	1=0.07	1=0.07	NUM
ejpam-6711	291	4	0	0	NUM
ejpam-6711	291	5	20	20	NUM
ejpam-6711	291	6	40	40	NUM
ejpam-6711	291	7	60	60	NUM
ejpam-6711	291	8	80	80	NUM
ejpam-6711	291	9	100	100	NUM
ejpam-6711	291	10	time	time	NOUN
ejpam-6711	291	11	(	(	PUNCT
ejpam-6711	291	12	days	day	NOUN
ejpam-6711	291	13	)	)	PUNCT
ejpam-6711	291	14	2	2	NUM
ejpam-6711	291	15	4	4	NUM
ejpam-6711	291	16	6	6	NUM
ejpam-6711	291	17	8	8	NUM
ejpam-6711	291	18	10	10	NUM
ejpam-6711	291	19	12	12	NUM
ejpam-6711	291	20	po	po	NOUN
ejpam-6711	291	21	pu	pu	PROPN
ejpam-6711	291	22	la	la	PROPN
ejpam-6711	291	23	tio	tio	PROPN
ejpam-6711	292	1	n	n	PROPN
ejpam-6711	292	2	(	(	PUNCT
ejpam-6711	292	3	f	f	X
ejpam-6711	292	4	)	)	PUNCT
ejpam-6711	292	5	th	th	X
ejpam-6711	293	1	1=0.01	1=0.01	NUM
ejpam-6711	293	2	1=0.03	1=0.03	NUM
ejpam-6711	293	3	1=0.05	1=0.05	NUM
ejpam-6711	293	4	1=0.07	1=0.07	NUM
ejpam-6711	293	5	0	0	NUM
ejpam-6711	293	6	20	20	NUM
ejpam-6711	293	7	40	40	NUM
ejpam-6711	293	8	60	60	NUM
ejpam-6711	293	9	80	80	NUM
ejpam-6711	293	10	100	100	NUM
ejpam-6711	293	11	time	time	NOUN
ejpam-6711	293	12	(	(	PUNCT
ejpam-6711	293	13	days	day	NOUN
ejpam-6711	293	14	)	)	PUNCT
ejpam-6711	293	15	0	0	NUM
ejpam-6711	293	16	5	5	NUM
ejpam-6711	293	17	10	10	NUM
ejpam-6711	293	18	15	15	NUM
ejpam-6711	293	19	20	20	NUM
ejpam-6711	293	20	25	25	NUM
ejpam-6711	293	21	po	po	NOUN
ejpam-6711	293	22	pu	pu	PROPN
ejpam-6711	293	23	la	la	PROPN
ejpam-6711	293	24	tio	tio	PROPN
ejpam-6711	293	25	n	n	PROPN
ejpam-6711	293	26	(	(	PUNCT
ejpam-6711	293	27	g	g	NOUN
ejpam-6711	293	28	)	)	PUNCT
ejpam-6711	293	29	r	r	NOUN
ejpam-6711	294	1	1=0.01	1=0.01	NUM
ejpam-6711	294	2	1=0.03	1=0.03	NUM
ejpam-6711	294	3	1=0.05	1=0.05	NUM
ejpam-6711	294	4	1=0.07	1=0.07	NUM
ejpam-6711	294	5	figure	figure	NOUN
ejpam-6711	294	6	13	13	NUM
ejpam-6711	294	7	:	:	PUNCT
ejpam-6711	294	8	effect	effect	NOUN
ejpam-6711	294	9	of	of	ADP
ejpam-6711	294	10	δ1	δ1	NOUN
ejpam-6711	294	11	on	on	ADP
ejpam-6711	294	12	the	the	DET
ejpam-6711	294	13	model	model	NOUN
ejpam-6711	294	14	(	(	PUNCT
ejpam-6711	294	15	2.1	2.1	NUM
ejpam-6711	294	16	)	)	PUNCT
ejpam-6711	294	17	as	as	SCONJ
ejpam-6711	294	18	depicted	depict	VERB
ejpam-6711	294	19	in	in	ADP
ejpam-6711	294	20	figure	figure	NOUN
ejpam-6711	294	21	14	14	NUM
ejpam-6711	294	22	,	,	PUNCT
ejpam-6711	294	23	higher	high	ADJ
ejpam-6711	294	24	values	value	NOUN
ejpam-6711	294	25	of	of	ADP
ejpam-6711	294	26	the	the	DET
ejpam-6711	294	27	transition	transition	NOUN
ejpam-6711	294	28	rate	rate	NOUN
ejpam-6711	294	29	from	from	ADP
ejpam-6711	294	30	low	low	ADJ
ejpam-6711	294	31	-	-	PUNCT
ejpam-6711	294	32	risk	risk	NOUN
ejpam-6711	294	33	to	to	ADP
ejpam-6711	294	34	high	high	ADJ
ejpam-6711	294	35	-	-	PUNCT
ejpam-6711	294	36	risk	risk	NOUN
ejpam-6711	294	37	susceptibility	susceptibility	NOUN
ejpam-6711	294	38	(	(	PUNCT
ejpam-6711	294	39	δ2	δ2	VERB
ejpam-6711	294	40	)	)	PUNCT
ejpam-6711	294	41	increase	increase	VERB
ejpam-6711	294	42	the	the	DET
ejpam-6711	294	43	high	high	ADJ
ejpam-6711	294	44	-	-	PUNCT
ejpam-6711	294	45	risk	risk	NOUN
ejpam-6711	294	46	susceptible	susceptible	ADJ
ejpam-6711	294	47	(	(	PUNCT
ejpam-6711	294	48	si	si	NOUN
ejpam-6711	294	49	)	)	PUNCT
ejpam-6711	294	50	,	,	PUNCT
ejpam-6711	294	51	prone	prone	ADJ
ejpam-6711	294	52	(	(	PUNCT
ejpam-6711	294	53	p	p	NOUN
ejpam-6711	294	54	)	)	PUNCT
ejpam-6711	294	55	,	,	PUNCT
ejpam-6711	294	56	and	and	CCONJ
ejpam-6711	294	57	untreated	untreated	ADJ
ejpam-6711	294	58	abuser	abuser	NOUN
ejpam-6711	294	59	(	(	PUNCT
ejpam-6711	294	60	i	i	PROPN
ejpam-6711	294	61	d	d	PROPN
ejpam-6711	294	62	)	)	PUNCT
ejpam-6711	294	63	populations	population	NOUN
ejpam-6711	294	64	,	,	PUNCT
ejpam-6711	294	65	while	while	SCONJ
ejpam-6711	294	66	reducing	reduce	VERB
ejpam-6711	294	67	the	the	DET
ejpam-6711	294	68	low	low	ADJ
ejpam-6711	294	69	-	-	PUNCT
ejpam-6711	294	70	risk	risk	NOUN
ejpam-6711	294	71	susceptible	susceptible	ADJ
ejpam-6711	294	72	(	(	PUNCT
ejpam-6711	294	73	sd	sd	NOUN
ejpam-6711	294	74	)	)	PUNCT
ejpam-6711	294	75	and	and	CCONJ
ejpam-6711	294	76	recovered	recover	VERB
ejpam-6711	294	77	(	(	PUNCT
ejpam-6711	294	78	r	r	NOUN
ejpam-6711	294	79	)	)	PUNCT
ejpam-6711	294	80	classes	class	NOUN
ejpam-6711	294	81	.	.	PUNCT
ejpam-6711	295	1	this	this	PRON
ejpam-6711	295	2	highlights	highlight	VERB
ejpam-6711	295	3	the	the	DET
ejpam-6711	295	4	importance	importance	NOUN
ejpam-6711	295	5	of	of	ADP
ejpam-6711	295	6	minimizing	minimize	VERB
ejpam-6711	295	7	factors	factor	NOUN
ejpam-6711	295	8	that	that	PRON
ejpam-6711	295	9	drive	drive	VERB
ejpam-6711	295	10	individuals	individual	NOUN
ejpam-6711	295	11	into	into	ADP
ejpam-6711	295	12	higher	high	ADJ
ejpam-6711	295	13	risk	risk	NOUN
ejpam-6711	295	14	categories	category	NOUN
ejpam-6711	295	15	.	.	PUNCT
ejpam-6711	296	1	l.	l.	PROPN
ejpam-6711	296	2	yaseen	yaseen	PROPN
ejpam-6711	296	3	et	et	PROPN
ejpam-6711	296	4	al	al	PROPN
ejpam-6711	296	5	.	.	PUNCT
ejpam-6711	296	6	/	/	SYM
ejpam-6711	296	7	eur	eur	PROPN
ejpam-6711	296	8	.	.	PUNCT
ejpam-6711	297	1	j.	j.	PROPN
ejpam-6711	297	2	pure	pure	PROPN
ejpam-6711	297	3	appl	appl	PROPN
ejpam-6711	297	4	.	.	PROPN
ejpam-6711	297	5	math	math	PROPN
ejpam-6711	297	6	,	,	PUNCT
ejpam-6711	297	7	18	18	NUM
ejpam-6711	297	8	(	(	PUNCT
ejpam-6711	297	9	4	4	NUM
ejpam-6711	297	10	)	)	PUNCT
ejpam-6711	297	11	(	(	PUNCT
ejpam-6711	297	12	2025	2025	NUM
ejpam-6711	297	13	)	)	PUNCT
ejpam-6711	297	14	,	,	PUNCT
ejpam-6711	297	15	6711	6711	NUM
ejpam-6711	297	16	21	21	NUM
ejpam-6711	297	17	of	of	ADP
ejpam-6711	297	18	29	29	NUM
ejpam-6711	297	19	0	0	NUM
ejpam-6711	297	20	20	20	NUM
ejpam-6711	297	21	40	40	NUM
ejpam-6711	297	22	60	60	NUM
ejpam-6711	297	23	80	80	NUM
ejpam-6711	297	24	100	100	NUM
ejpam-6711	297	25	time	time	NOUN
ejpam-6711	297	26	(	(	PUNCT
ejpam-6711	297	27	days	day	NOUN
ejpam-6711	297	28	)	)	PUNCT
ejpam-6711	297	29	20	20	NUM
ejpam-6711	297	30	40	40	NUM
ejpam-6711	297	31	60	60	NUM
ejpam-6711	297	32	80	80	NUM
ejpam-6711	297	33	100	100	NUM
ejpam-6711	297	34	po	po	X
ejpam-6711	297	35	pu	pu	PROPN
ejpam-6711	297	36	la	la	PROPN
ejpam-6711	297	37	tio	tio	PROPN
ejpam-6711	297	38	n	n	PROPN
ejpam-6711	297	39	(	(	PUNCT
ejpam-6711	297	40	a	a	X
ejpam-6711	297	41	)	)	PUNCT
ejpam-6711	298	1	si	si	NOUN
ejpam-6711	299	1	2=0.01	2=0.01	NUM
ejpam-6711	299	2	2=0.03	2=0.03	ADJ
ejpam-6711	299	3	2=0.05	2=0.05	NOUN
ejpam-6711	300	1	2=0.07	2=0.07	NUM
ejpam-6711	300	2	0	0	NUM
ejpam-6711	300	3	20	20	NUM
ejpam-6711	300	4	40	40	NUM
ejpam-6711	300	5	60	60	NUM
ejpam-6711	300	6	80	80	NUM
ejpam-6711	300	7	100	100	NUM
ejpam-6711	300	8	time	time	NOUN
ejpam-6711	300	9	(	(	PUNCT
ejpam-6711	300	10	days	day	NOUN
ejpam-6711	300	11	)	)	PUNCT
ejpam-6711	300	12	10	10	NUM
ejpam-6711	300	13	20	20	NUM
ejpam-6711	300	14	30	30	NUM
ejpam-6711	300	15	40	40	NUM
ejpam-6711	300	16	50	50	NUM
ejpam-6711	300	17	60	60	NUM
ejpam-6711	300	18	po	po	NOUN
ejpam-6711	300	19	pu	pu	PROPN
ejpam-6711	300	20	la	la	PROPN
ejpam-6711	300	21	tio	tio	PROPN
ejpam-6711	300	22	n	n	PROPN
ejpam-6711	300	23	(	(	PUNCT
ejpam-6711	300	24	b	b	NOUN
ejpam-6711	300	25	)	)	PUNCT
ejpam-6711	300	26	sd	sd	ADP
ejpam-6711	300	27	2=0.01	2=0.01	NUM
ejpam-6711	300	28	2=0.03	2=0.03	ADJ
ejpam-6711	300	29	2=0.05	2=0.05	NOUN
ejpam-6711	301	1	2=0.07	2=0.07	NUM
ejpam-6711	301	2	0	0	NUM
ejpam-6711	301	3	20	20	NUM
ejpam-6711	301	4	40	40	NUM
ejpam-6711	301	5	60	60	NUM
ejpam-6711	301	6	80	80	NUM
ejpam-6711	301	7	100	100	NUM
ejpam-6711	301	8	time	time	NOUN
ejpam-6711	301	9	(	(	PUNCT
ejpam-6711	301	10	days	day	NOUN
ejpam-6711	301	11	)	)	PUNCT
ejpam-6711	301	12	0.0	0.0	NUM
ejpam-6711	301	13	2.5	2.5	NUM
ejpam-6711	301	14	5.0	5.0	NUM
ejpam-6711	301	15	7.5	7.5	NUM
ejpam-6711	301	16	10.0	10.0	NUM
ejpam-6711	301	17	12.5	12.5	NUM
ejpam-6711	301	18	15.0	15.0	NUM
ejpam-6711	301	19	17.5	17.5	NUM
ejpam-6711	301	20	po	po	NOUN
ejpam-6711	301	21	pu	pu	PROPN
ejpam-6711	301	22	la	la	PROPN
ejpam-6711	301	23	tio	tio	PROPN
ejpam-6711	301	24	n	n	PROPN
ejpam-6711	301	25	(	(	PUNCT
ejpam-6711	301	26	c	c	X
ejpam-6711	301	27	)	)	PUNCT
ejpam-6711	301	28	p	p	NOUN
ejpam-6711	301	29	2=0.01	2=0.01	NUM
ejpam-6711	301	30	2=0.03	2=0.03	ADJ
ejpam-6711	301	31	2=0.05	2=0.05	NOUN
ejpam-6711	302	1	2=0.07	2=0.07	NUM
ejpam-6711	302	2	0	0	NUM
ejpam-6711	302	3	20	20	NUM
ejpam-6711	302	4	40	40	NUM
ejpam-6711	302	5	60	60	NUM
ejpam-6711	302	6	80	80	NUM
ejpam-6711	302	7	100	100	NUM
ejpam-6711	302	8	time	time	NOUN
ejpam-6711	302	9	(	(	PUNCT
ejpam-6711	302	10	days	day	NOUN
ejpam-6711	302	11	)	)	PUNCT
ejpam-6711	302	12	2	2	NUM
ejpam-6711	302	13	3	3	NUM
ejpam-6711	302	14	4	4	NUM
ejpam-6711	302	15	5	5	NUM
ejpam-6711	302	16	6	6	NUM
ejpam-6711	302	17	7	7	NUM
ejpam-6711	302	18	8	8	NUM
ejpam-6711	302	19	po	po	NOUN
ejpam-6711	302	20	pu	pu	PROPN
ejpam-6711	302	21	la	la	PROPN
ejpam-6711	302	22	tio	tio	PROPN
ejpam-6711	302	23	n	n	PROPN
ejpam-6711	302	24	(	(	PUNCT
ejpam-6711	302	25	d	d	X
ejpam-6711	302	26	)	)	PUNCT
ejpam-6711	302	27	i	i	NOUN
ejpam-6711	302	28	d	d	NOUN
ejpam-6711	302	29	2=0.01	2=0.01	NUM
ejpam-6711	303	1	2=0.03	2=0.03	ADJ
ejpam-6711	303	2	2=0.05	2=0.05	NOUN
ejpam-6711	304	1	2=0.07	2=0.07	NUM
ejpam-6711	304	2	0	0	NUM
ejpam-6711	304	3	20	20	NUM
ejpam-6711	304	4	40	40	NUM
ejpam-6711	304	5	60	60	NUM
ejpam-6711	304	6	80	80	NUM
ejpam-6711	304	7	100	100	NUM
ejpam-6711	304	8	time	time	NOUN
ejpam-6711	304	9	(	(	PUNCT
ejpam-6711	304	10	days	day	NOUN
ejpam-6711	304	11	)	)	PUNCT
ejpam-6711	304	12	4	4	NUM
ejpam-6711	304	13	6	6	NUM
ejpam-6711	304	14	8	8	NUM
ejpam-6711	304	15	10	10	NUM
ejpam-6711	304	16	12	12	NUM
ejpam-6711	304	17	po	po	NOUN
ejpam-6711	304	18	pu	pu	PROPN
ejpam-6711	304	19	la	la	PROPN
ejpam-6711	304	20	tio	tio	PROPN
ejpam-6711	305	1	n	n	PROPN
ejpam-6711	305	2	(	(	PUNCT
ejpam-6711	305	3	e	e	NOUN
ejpam-6711	305	4	)	)	PUNCT
ejpam-6711	305	5	tp	tp	ADP
ejpam-6711	305	6	2=0.01	2=0.01	NUM
ejpam-6711	305	7	2=0.03	2=0.03	ADJ
ejpam-6711	305	8	2=0.05	2=0.05	NOUN
ejpam-6711	306	1	2=0.07	2=0.07	NUM
ejpam-6711	306	2	0	0	NUM
ejpam-6711	306	3	20	20	NUM
ejpam-6711	306	4	40	40	NUM
ejpam-6711	306	5	60	60	NUM
ejpam-6711	306	6	80	80	NUM
ejpam-6711	306	7	100	100	NUM
ejpam-6711	306	8	time	time	NOUN
ejpam-6711	306	9	(	(	PUNCT
ejpam-6711	306	10	days	day	NOUN
ejpam-6711	306	11	)	)	PUNCT
ejpam-6711	306	12	2	2	NUM
ejpam-6711	306	13	4	4	NUM
ejpam-6711	306	14	6	6	NUM
ejpam-6711	306	15	8	8	NUM
ejpam-6711	306	16	10	10	NUM
ejpam-6711	306	17	po	po	NOUN
ejpam-6711	306	18	pu	pu	PROPN
ejpam-6711	306	19	la	la	PROPN
ejpam-6711	307	1	tio	tio	PROPN
ejpam-6711	308	1	n	n	PROPN
ejpam-6711	309	1	(	(	PUNCT
ejpam-6711	309	2	f	f	X
ejpam-6711	309	3	)	)	PUNCT
ejpam-6711	309	4	th	th	X
ejpam-6711	310	1	2=0.01	2=0.01	NUM
ejpam-6711	311	1	2=0.03	2=0.03	ADJ
ejpam-6711	311	2	2=0.05	2=0.05	NOUN
ejpam-6711	312	1	2=0.07	2=0.07	NUM
ejpam-6711	312	2	0	0	NUM
ejpam-6711	312	3	20	20	NUM
ejpam-6711	312	4	40	40	NUM
ejpam-6711	312	5	60	60	NUM
ejpam-6711	312	6	80	80	NUM
ejpam-6711	312	7	100	100	NUM
ejpam-6711	312	8	time	time	NOUN
ejpam-6711	312	9	(	(	PUNCT
ejpam-6711	312	10	days	day	NOUN
ejpam-6711	312	11	)	)	PUNCT
ejpam-6711	312	12	0.0	0.0	NUM
ejpam-6711	312	13	2.5	2.5	NUM
ejpam-6711	312	14	5.0	5.0	NUM
ejpam-6711	312	15	7.5	7.5	NUM
ejpam-6711	312	16	10.0	10.0	NUM
ejpam-6711	312	17	12.5	12.5	NUM
ejpam-6711	312	18	15.0	15.0	NUM
ejpam-6711	312	19	17.5	17.5	NUM
ejpam-6711	312	20	20.0	20.0	NUM
ejpam-6711	312	21	po	po	NOUN
ejpam-6711	312	22	pu	pu	PROPN
ejpam-6711	312	23	la	la	PROPN
ejpam-6711	312	24	tio	tio	PROPN
ejpam-6711	312	25	n	n	PROPN
ejpam-6711	312	26	(	(	PUNCT
ejpam-6711	312	27	g	g	NOUN
ejpam-6711	312	28	)	)	PUNCT
ejpam-6711	312	29	r	r	NOUN
ejpam-6711	312	30	2=0.01	2=0.01	NUM
ejpam-6711	312	31	2=0.03	2=0.03	ADJ
ejpam-6711	312	32	2=0.05	2=0.05	NOUN
ejpam-6711	313	1	2=0.07	2=0.07	PRON
ejpam-6711	313	2	figure	figure	NOUN
ejpam-6711	313	3	14	14	NUM
ejpam-6711	313	4	:	:	PUNCT
ejpam-6711	313	5	effect	effect	NOUN
ejpam-6711	313	6	of	of	ADP
ejpam-6711	313	7	δ2	δ2	VERB
ejpam-6711	313	8	on	on	ADP
ejpam-6711	313	9	the	the	DET
ejpam-6711	313	10	model	model	NOUN
ejpam-6711	313	11	(	(	PUNCT
ejpam-6711	313	12	2.1	2.1	NUM
ejpam-6711	313	13	)	)	PUNCT
ejpam-6711	313	14	the	the	DET
ejpam-6711	313	15	figure	figure	NOUN
ejpam-6711	313	16	15	15	NUM
ejpam-6711	313	17	show	show	NOUN
ejpam-6711	313	18	that	that	SCONJ
ejpam-6711	313	19	increasing	increase	VERB
ejpam-6711	313	20	the	the	DET
ejpam-6711	313	21	infectivity	infectivity	NOUN
ejpam-6711	313	22	modification	modification	NOUN
ejpam-6711	313	23	parameter	parameter	PROPN
ejpam-6711	313	24	η	η	PROPN
ejpam-6711	313	25	would	would	AUX
ejpam-6711	313	26	be	be	AUX
ejpam-6711	313	27	expected	expect	VERB
ejpam-6711	313	28	to	to	PART
ejpam-6711	313	29	amplify	amplify	VERB
ejpam-6711	313	30	the	the	DET
ejpam-6711	313	31	spread	spread	NOUN
ejpam-6711	313	32	of	of	ADP
ejpam-6711	313	33	drug	drug	NOUN
ejpam-6711	313	34	abuse	abuse	NOUN
ejpam-6711	313	35	,	,	PUNCT
ejpam-6711	313	36	raising	raise	VERB
ejpam-6711	313	37	the	the	DET
ejpam-6711	313	38	peaks	peak	NOUN
ejpam-6711	313	39	of	of	ADP
ejpam-6711	313	40	p	p	NOUN
ejpam-6711	313	41	,	,	PUNCT
ejpam-6711	313	42	i	i	PROPN
ejpam-6711	313	43	d	d	PROPN
ejpam-6711	313	44	,	,	PUNCT
ejpam-6711	313	45	and	and	CCONJ
ejpam-6711	313	46	treatment	treatment	NOUN
ejpam-6711	313	47	compartments	compartment	NOUN
ejpam-6711	313	48	,	,	PUNCT
ejpam-6711	313	49	and	and	CCONJ
ejpam-6711	313	50	accelerating	accelerate	VERB
ejpam-6711	313	51	the	the	DET
ejpam-6711	313	52	decline	decline	NOUN
ejpam-6711	313	53	of	of	ADP
ejpam-6711	313	54	susceptible	susceptible	ADJ
ejpam-6711	313	55	classes	class	NOUN
ejpam-6711	313	56	,	,	PUNCT
ejpam-6711	313	57	consistent	consistent	ADJ
ejpam-6711	313	58	with	with	ADP
ejpam-6711	313	59	the	the	DET
ejpam-6711	313	60	trends	trend	NOUN
ejpam-6711	313	61	observed	observe	VERB
ejpam-6711	313	62	for	for	ADP
ejpam-6711	313	63	β1	β1	PROPN
ejpam-6711	313	64	.	.	PUNCT
ejpam-6711	314	1	l.	l.	PROPN
ejpam-6711	314	2	yaseen	yaseen	PROPN
ejpam-6711	314	3	et	et	PROPN
ejpam-6711	314	4	al	al	PROPN
ejpam-6711	314	5	.	.	PUNCT
ejpam-6711	314	6	/	/	SYM
ejpam-6711	314	7	eur	eur	PROPN
ejpam-6711	314	8	.	.	PUNCT
ejpam-6711	315	1	j.	j.	PROPN
ejpam-6711	315	2	pure	pure	PROPN
ejpam-6711	315	3	appl	appl	PROPN
ejpam-6711	315	4	.	.	PROPN
ejpam-6711	315	5	math	math	PROPN
ejpam-6711	315	6	,	,	PUNCT
ejpam-6711	315	7	18	18	NUM
ejpam-6711	315	8	(	(	PUNCT
ejpam-6711	315	9	4	4	NUM
ejpam-6711	315	10	)	)	PUNCT
ejpam-6711	315	11	(	(	PUNCT
ejpam-6711	315	12	2025	2025	NUM
ejpam-6711	315	13	)	)	PUNCT
ejpam-6711	315	14	,	,	PUNCT
ejpam-6711	315	15	6711	6711	NUM
ejpam-6711	315	16	22	22	NUM
ejpam-6711	315	17	of	of	ADP
ejpam-6711	315	18	29	29	NUM
ejpam-6711	315	19	0	0	NUM
ejpam-6711	315	20	20	20	NUM
ejpam-6711	315	21	40	40	NUM
ejpam-6711	315	22	60	60	NUM
ejpam-6711	315	23	80	80	NUM
ejpam-6711	315	24	100	100	NUM
ejpam-6711	315	25	time	time	NOUN
ejpam-6711	315	26	(	(	PUNCT
ejpam-6711	315	27	days	day	NOUN
ejpam-6711	315	28	)	)	PUNCT
ejpam-6711	315	29	20	20	NUM
ejpam-6711	315	30	40	40	NUM
ejpam-6711	315	31	60	60	NUM
ejpam-6711	315	32	80	80	NUM
ejpam-6711	315	33	100	100	NUM
ejpam-6711	315	34	po	po	X
ejpam-6711	315	35	pu	pu	PROPN
ejpam-6711	315	36	la	la	PROPN
ejpam-6711	315	37	tio	tio	PROPN
ejpam-6711	315	38	n	n	PROPN
ejpam-6711	315	39	(	(	PUNCT
ejpam-6711	315	40	a	a	NOUN
ejpam-6711	315	41	)	)	PUNCT
ejpam-6711	315	42	si	si	NOUN
ejpam-6711	316	1	=	=	SYM
ejpam-6711	316	2	0.1	0.1	NUM
ejpam-6711	316	3	=	=	SYM
ejpam-6711	316	4	0.2	0.2	NUM
ejpam-6711	316	5	=	=	SYM
ejpam-6711	316	6	0.3	0.3	NUM
ejpam-6711	316	7	=	=	NUM
ejpam-6711	316	8	0.4	0.4	NUM
ejpam-6711	316	9	0	0	NUM
ejpam-6711	316	10	20	20	NUM
ejpam-6711	316	11	40	40	NUM
ejpam-6711	316	12	60	60	NUM
ejpam-6711	316	13	80	80	NUM
ejpam-6711	316	14	100	100	NUM
ejpam-6711	316	15	time	time	NOUN
ejpam-6711	316	16	(	(	PUNCT
ejpam-6711	316	17	days	day	NOUN
ejpam-6711	316	18	)	)	PUNCT
ejpam-6711	316	19	10	10	NUM
ejpam-6711	316	20	20	20	NUM
ejpam-6711	316	21	30	30	NUM
ejpam-6711	316	22	40	40	NUM
ejpam-6711	316	23	50	50	NUM
ejpam-6711	316	24	po	po	NOUN
ejpam-6711	316	25	pu	pu	PROPN
ejpam-6711	316	26	la	la	PROPN
ejpam-6711	316	27	tio	tio	PROPN
ejpam-6711	316	28	n	n	PROPN
ejpam-6711	316	29	(	(	PUNCT
ejpam-6711	316	30	b	b	NOUN
ejpam-6711	316	31	)	)	PUNCT
ejpam-6711	316	32	sd	sd	ADP
ejpam-6711	316	33	=	=	SYM
ejpam-6711	316	34	0.1	0.1	NUM
ejpam-6711	316	35	=	=	SYM
ejpam-6711	316	36	0.2	0.2	NUM
ejpam-6711	316	37	=	=	SYM
ejpam-6711	316	38	0.3	0.3	NUM
ejpam-6711	316	39	=	=	NUM
ejpam-6711	316	40	0.4	0.4	NUM
ejpam-6711	316	41	0	0	NUM
ejpam-6711	316	42	20	20	NUM
ejpam-6711	316	43	40	40	NUM
ejpam-6711	316	44	60	60	NUM
ejpam-6711	316	45	80	80	NUM
ejpam-6711	316	46	100	100	NUM
ejpam-6711	316	47	time	time	NOUN
ejpam-6711	316	48	(	(	PUNCT
ejpam-6711	316	49	days	day	NOUN
ejpam-6711	316	50	)	)	PUNCT
ejpam-6711	316	51	0.0	0.0	NUM
ejpam-6711	316	52	2.5	2.5	NUM
ejpam-6711	316	53	5.0	5.0	NUM
ejpam-6711	316	54	7.5	7.5	NUM
ejpam-6711	316	55	10.0	10.0	NUM
ejpam-6711	316	56	12.5	12.5	NUM
ejpam-6711	316	57	15.0	15.0	NUM
ejpam-6711	316	58	17.5	17.5	NUM
ejpam-6711	316	59	20.0	20.0	NUM
ejpam-6711	316	60	po	po	NOUN
ejpam-6711	316	61	pu	pu	PROPN
ejpam-6711	316	62	la	la	PROPN
ejpam-6711	316	63	tio	tio	PROPN
ejpam-6711	316	64	n	n	PROPN
ejpam-6711	316	65	(	(	PUNCT
ejpam-6711	316	66	c	c	NOUN
ejpam-6711	316	67	)	)	PUNCT
ejpam-6711	316	68	p	p	NOUN
ejpam-6711	317	1	=	=	NOUN
ejpam-6711	317	2	0.1	0.1	NUM
ejpam-6711	317	3	=	=	SYM
ejpam-6711	317	4	0.2	0.2	NUM
ejpam-6711	317	5	=	=	SYM
ejpam-6711	317	6	0.3	0.3	NUM
ejpam-6711	317	7	=	=	NUM
ejpam-6711	317	8	0.4	0.4	NUM
ejpam-6711	317	9	0	0	NUM
ejpam-6711	317	10	20	20	NUM
ejpam-6711	317	11	40	40	NUM
ejpam-6711	317	12	60	60	NUM
ejpam-6711	317	13	80	80	NUM
ejpam-6711	317	14	100	100	NUM
ejpam-6711	317	15	time	time	NOUN
ejpam-6711	317	16	(	(	PUNCT
ejpam-6711	317	17	days	day	NOUN
ejpam-6711	317	18	)	)	PUNCT
ejpam-6711	317	19	3	3	NUM
ejpam-6711	317	20	4	4	NUM
ejpam-6711	317	21	5	5	NUM
ejpam-6711	317	22	6	6	NUM
ejpam-6711	317	23	7	7	NUM
ejpam-6711	317	24	8	8	NUM
ejpam-6711	317	25	9	9	NUM
ejpam-6711	317	26	10	10	NUM
ejpam-6711	317	27	po	po	NOUN
ejpam-6711	317	28	pu	pu	PROPN
ejpam-6711	317	29	la	la	PROPN
ejpam-6711	318	1	tio	tio	PROPN
ejpam-6711	319	1	n	n	PROPN
ejpam-6711	320	1	(	(	PUNCT
ejpam-6711	320	2	d	d	X
ejpam-6711	320	3	)	)	PUNCT
ejpam-6711	320	4	i	i	NOUN
ejpam-6711	320	5	d	d	NOUN
ejpam-6711	320	6	=	=	SYM
ejpam-6711	320	7	0.1	0.1	NUM
ejpam-6711	320	8	=	=	SYM
ejpam-6711	320	9	0.2	0.2	NUM
ejpam-6711	320	10	=	=	SYM
ejpam-6711	320	11	0.3	0.3	NUM
ejpam-6711	320	12	=	=	NUM
ejpam-6711	320	13	0.4	0.4	NUM
ejpam-6711	320	14	0	0	NUM
ejpam-6711	320	15	20	20	NUM
ejpam-6711	320	16	40	40	NUM
ejpam-6711	320	17	60	60	NUM
ejpam-6711	320	18	80	80	NUM
ejpam-6711	320	19	100	100	NUM
ejpam-6711	320	20	time	time	NOUN
ejpam-6711	320	21	(	(	PUNCT
ejpam-6711	320	22	days	day	NOUN
ejpam-6711	320	23	)	)	PUNCT
ejpam-6711	320	24	4	4	NUM
ejpam-6711	320	25	6	6	NUM
ejpam-6711	320	26	8	8	NUM
ejpam-6711	320	27	10	10	NUM
ejpam-6711	320	28	12	12	NUM
ejpam-6711	320	29	14	14	NUM
ejpam-6711	320	30	po	po	NOUN
ejpam-6711	320	31	pu	pu	PROPN
ejpam-6711	320	32	la	la	PROPN
ejpam-6711	321	1	tio	tio	PROPN
ejpam-6711	322	1	n	n	PROPN
ejpam-6711	323	1	(	(	PUNCT
ejpam-6711	323	2	e	e	NOUN
ejpam-6711	323	3	)	)	PUNCT
ejpam-6711	323	4	tp	tp	ADP
ejpam-6711	324	1	=	=	NOUN
ejpam-6711	324	2	0.1	0.1	NUM
ejpam-6711	324	3	=	=	SYM
ejpam-6711	324	4	0.2	0.2	NUM
ejpam-6711	324	5	=	=	SYM
ejpam-6711	324	6	0.3	0.3	NUM
ejpam-6711	324	7	=	=	NUM
ejpam-6711	324	8	0.4	0.4	NUM
ejpam-6711	324	9	0	0	NUM
ejpam-6711	324	10	20	20	NUM
ejpam-6711	324	11	40	40	NUM
ejpam-6711	324	12	60	60	NUM
ejpam-6711	324	13	80	80	NUM
ejpam-6711	324	14	100	100	NUM
ejpam-6711	324	15	time	time	NOUN
ejpam-6711	324	16	(	(	PUNCT
ejpam-6711	324	17	days	day	NOUN
ejpam-6711	324	18	)	)	PUNCT
ejpam-6711	324	19	2	2	NUM
ejpam-6711	324	20	4	4	NUM
ejpam-6711	324	21	6	6	NUM
ejpam-6711	324	22	8	8	NUM
ejpam-6711	324	23	10	10	NUM
ejpam-6711	324	24	12	12	NUM
ejpam-6711	324	25	po	po	NOUN
ejpam-6711	324	26	pu	pu	PROPN
ejpam-6711	324	27	la	la	PROPN
ejpam-6711	324	28	tio	tio	PROPN
ejpam-6711	324	29	n	n	PROPN
ejpam-6711	324	30	(	(	PUNCT
ejpam-6711	324	31	f	f	X
ejpam-6711	324	32	)	)	PUNCT
ejpam-6711	324	33	th	th	X
ejpam-6711	325	1	=	=	SYM
ejpam-6711	325	2	0.1	0.1	NUM
ejpam-6711	325	3	=	=	SYM
ejpam-6711	325	4	0.2	0.2	NUM
ejpam-6711	325	5	=	=	SYM
ejpam-6711	325	6	0.3	0.3	NUM
ejpam-6711	325	7	=	=	NUM
ejpam-6711	325	8	0.4	0.4	NUM
ejpam-6711	325	9	0	0	NUM
ejpam-6711	325	10	20	20	NUM
ejpam-6711	325	11	40	40	NUM
ejpam-6711	325	12	60	60	NUM
ejpam-6711	325	13	80	80	NUM
ejpam-6711	325	14	100	100	NUM
ejpam-6711	325	15	time	time	NOUN
ejpam-6711	325	16	(	(	PUNCT
ejpam-6711	325	17	days	day	NOUN
ejpam-6711	325	18	)	)	PUNCT
ejpam-6711	325	19	0	0	NUM
ejpam-6711	325	20	5	5	NUM
ejpam-6711	325	21	10	10	NUM
ejpam-6711	325	22	15	15	NUM
ejpam-6711	325	23	20	20	NUM
ejpam-6711	325	24	po	po	NOUN
ejpam-6711	325	25	pu	pu	PROPN
ejpam-6711	325	26	la	la	PROPN
ejpam-6711	326	1	tio	tio	PROPN
ejpam-6711	327	1	n	n	PROPN
ejpam-6711	328	1	(	(	PUNCT
ejpam-6711	328	2	g	g	NOUN
ejpam-6711	328	3	)	)	PUNCT
ejpam-6711	328	4	r	r	NOUN
ejpam-6711	328	5	=	=	SYM
ejpam-6711	328	6	0.1	0.1	NUM
ejpam-6711	328	7	=	=	SYM
ejpam-6711	328	8	0.2	0.2	NUM
ejpam-6711	328	9	=	=	SYM
ejpam-6711	328	10	0.3	0.3	NUM
ejpam-6711	328	11	=	=	SYM
ejpam-6711	328	12	0.4	0.4	NUM
ejpam-6711	328	13	figure	figure	NOUN
ejpam-6711	328	14	15	15	NUM
ejpam-6711	328	15	:	:	PUNCT
ejpam-6711	328	16	effect	effect	NOUN
ejpam-6711	328	17	of	of	ADP
ejpam-6711	328	18	η	η	PROPN
ejpam-6711	328	19	on	on	ADP
ejpam-6711	328	20	the	the	DET
ejpam-6711	328	21	model	model	NOUN
ejpam-6711	328	22	(	(	PUNCT
ejpam-6711	328	23	2.1	2.1	NUM
ejpam-6711	328	24	)	)	PUNCT
ejpam-6711	328	25	figure	figure	NOUN
ejpam-6711	328	26	16	16	NUM
ejpam-6711	328	27	show	show	NOUN
ejpam-6711	328	28	that	that	SCONJ
ejpam-6711	328	29	increasing	increase	VERB
ejpam-6711	328	30	the	the	DET
ejpam-6711	328	31	progression	progression	NOUN
ejpam-6711	328	32	rate	rate	NOUN
ejpam-6711	328	33	to	to	ADP
ejpam-6711	328	34	treatment	treatment	NOUN
ejpam-6711	328	35	or	or	CCONJ
ejpam-6711	328	36	recovery	recovery	NOUN
ejpam-6711	328	37	(	(	PUNCT
ejpam-6711	328	38	φ	φ	NOUN
ejpam-6711	328	39	)	)	PUNCT
ejpam-6711	328	40	leads	lead	VERB
ejpam-6711	328	41	to	to	ADP
ejpam-6711	328	42	a	a	DET
ejpam-6711	328	43	faster	fast	ADJ
ejpam-6711	328	44	decline	decline	NOUN
ejpam-6711	328	45	in	in	ADP
ejpam-6711	328	46	the	the	DET
ejpam-6711	328	47	untreated	untreated	ADJ
ejpam-6711	328	48	abuser	abuser	NOUN
ejpam-6711	328	49	population	population	NOUN
ejpam-6711	328	50	and	and	CCONJ
ejpam-6711	328	51	a	a	DET
ejpam-6711	328	52	more	more	ADV
ejpam-6711	328	53	rapid	rapid	ADJ
ejpam-6711	328	54	increase	increase	NOUN
ejpam-6711	328	55	in	in	ADP
ejpam-6711	328	56	the	the	DET
ejpam-6711	328	57	recovered	recovered	ADJ
ejpam-6711	328	58	class	class	NOUN
ejpam-6711	328	59	,	,	PUNCT
ejpam-6711	328	60	underscoring	underscore	VERB
ejpam-6711	328	61	the	the	DET
ejpam-6711	328	62	value	value	NOUN
ejpam-6711	328	63	of	of	ADP
ejpam-6711	328	64	timely	timely	ADJ
ejpam-6711	328	65	intervention	intervention	NOUN
ejpam-6711	328	66	and	and	CCONJ
ejpam-6711	328	67	treatment	treatment	NOUN
ejpam-6711	328	68	access	access	NOUN
ejpam-6711	328	69	.	.	PUNCT
ejpam-6711	329	1	l.	l.	PROPN
ejpam-6711	329	2	yaseen	yaseen	PROPN
ejpam-6711	329	3	et	et	PROPN
ejpam-6711	329	4	al	al	PROPN
ejpam-6711	329	5	.	.	PUNCT
ejpam-6711	329	6	/	/	SYM
ejpam-6711	329	7	eur	eur	PROPN
ejpam-6711	329	8	.	.	PUNCT
ejpam-6711	330	1	j.	j.	PROPN
ejpam-6711	330	2	pure	pure	PROPN
ejpam-6711	330	3	appl	appl	PROPN
ejpam-6711	330	4	.	.	PROPN
ejpam-6711	330	5	math	math	PROPN
ejpam-6711	330	6	,	,	PUNCT
ejpam-6711	330	7	18	18	NUM
ejpam-6711	330	8	(	(	PUNCT
ejpam-6711	330	9	4	4	NUM
ejpam-6711	330	10	)	)	PUNCT
ejpam-6711	330	11	(	(	PUNCT
ejpam-6711	330	12	2025	2025	NUM
ejpam-6711	330	13	)	)	PUNCT
ejpam-6711	330	14	,	,	PUNCT
ejpam-6711	330	15	6711	6711	NUM
ejpam-6711	330	16	23	23	NUM
ejpam-6711	330	17	of	of	ADP
ejpam-6711	330	18	29	29	NUM
ejpam-6711	330	19	0	0	NUM
ejpam-6711	330	20	20	20	NUM
ejpam-6711	330	21	40	40	NUM
ejpam-6711	330	22	60	60	NUM
ejpam-6711	330	23	80	80	NUM
ejpam-6711	330	24	100	100	NUM
ejpam-6711	330	25	time	time	NOUN
ejpam-6711	330	26	(	(	PUNCT
ejpam-6711	330	27	days	day	NOUN
ejpam-6711	330	28	)	)	PUNCT
ejpam-6711	330	29	0	0	NUM
ejpam-6711	330	30	20	20	NUM
ejpam-6711	330	31	40	40	NUM
ejpam-6711	330	32	60	60	NUM
ejpam-6711	330	33	80	80	NUM
ejpam-6711	330	34	100	100	NUM
ejpam-6711	330	35	po	po	X
ejpam-6711	330	36	pu	pu	PROPN
ejpam-6711	330	37	la	la	PROPN
ejpam-6711	330	38	tio	tio	PROPN
ejpam-6711	331	1	n	n	PROPN
ejpam-6711	332	1	(	(	PUNCT
ejpam-6711	332	2	a	a	NOUN
ejpam-6711	332	3	)	)	PUNCT
ejpam-6711	332	4	si	si	NOUN
ejpam-6711	333	1	=	=	NOUN
ejpam-6711	333	2	0.05	0.05	NUM
ejpam-6711	333	3	=	=	SYM
ejpam-6711	333	4	0.1	0.1	NUM
ejpam-6711	333	5	=	=	SYM
ejpam-6711	333	6	0.15	0.15	NUM
ejpam-6711	333	7	=	=	NOUN
ejpam-6711	333	8	0.2	0.2	NUM
ejpam-6711	333	9	0	0	NUM
ejpam-6711	333	10	20	20	NUM
ejpam-6711	333	11	40	40	NUM
ejpam-6711	333	12	60	60	NUM
ejpam-6711	333	13	80	80	NUM
ejpam-6711	333	14	100	100	NUM
ejpam-6711	333	15	time	time	NOUN
ejpam-6711	333	16	(	(	PUNCT
ejpam-6711	333	17	days	day	NOUN
ejpam-6711	333	18	)	)	PUNCT
ejpam-6711	333	19	10	10	NUM
ejpam-6711	333	20	20	20	NUM
ejpam-6711	333	21	30	30	NUM
ejpam-6711	333	22	40	40	NUM
ejpam-6711	333	23	50	50	NUM
ejpam-6711	333	24	po	po	NOUN
ejpam-6711	333	25	pu	pu	PROPN
ejpam-6711	333	26	la	la	PROPN
ejpam-6711	334	1	tio	tio	PROPN
ejpam-6711	335	1	n	n	PROPN
ejpam-6711	336	1	(	(	PUNCT
ejpam-6711	336	2	b	b	NOUN
ejpam-6711	336	3	)	)	PUNCT
ejpam-6711	336	4	sd	sd	ADP
ejpam-6711	336	5	=	=	NOUN
ejpam-6711	336	6	0.05	0.05	NUM
ejpam-6711	336	7	=	=	SYM
ejpam-6711	336	8	0.1	0.1	NUM
ejpam-6711	336	9	=	=	SYM
ejpam-6711	336	10	0.15	0.15	NUM
ejpam-6711	336	11	=	=	NOUN
ejpam-6711	336	12	0.2	0.2	NUM
ejpam-6711	336	13	0	0	NUM
ejpam-6711	336	14	20	20	NUM
ejpam-6711	336	15	40	40	NUM
ejpam-6711	336	16	60	60	NUM
ejpam-6711	336	17	80	80	NUM
ejpam-6711	336	18	100	100	NUM
ejpam-6711	336	19	time	time	NOUN
ejpam-6711	336	20	(	(	PUNCT
ejpam-6711	336	21	days	day	NOUN
ejpam-6711	336	22	)	)	PUNCT
ejpam-6711	336	23	0	0	NUM
ejpam-6711	336	24	5	5	NUM
ejpam-6711	336	25	10	10	NUM
ejpam-6711	336	26	15	15	NUM
ejpam-6711	336	27	20	20	NUM
ejpam-6711	336	28	25	25	NUM
ejpam-6711	336	29	30	30	NUM
ejpam-6711	336	30	35	35	NUM
ejpam-6711	336	31	po	po	NOUN
ejpam-6711	336	32	pu	pu	PROPN
ejpam-6711	336	33	la	la	PROPN
ejpam-6711	336	34	tio	tio	PROPN
ejpam-6711	336	35	n	n	PROPN
ejpam-6711	336	36	(	(	PUNCT
ejpam-6711	336	37	c	c	NOUN
ejpam-6711	336	38	)	)	PUNCT
ejpam-6711	336	39	p	p	NOUN
ejpam-6711	337	1	=	=	NOUN
ejpam-6711	337	2	0.05	0.05	NUM
ejpam-6711	337	3	=	=	SYM
ejpam-6711	337	4	0.1	0.1	NUM
ejpam-6711	337	5	=	=	SYM
ejpam-6711	337	6	0.15	0.15	NUM
ejpam-6711	337	7	=	=	NOUN
ejpam-6711	337	8	0.2	0.2	NUM
ejpam-6711	337	9	0	0	NUM
ejpam-6711	337	10	20	20	NUM
ejpam-6711	337	11	40	40	NUM
ejpam-6711	337	12	60	60	NUM
ejpam-6711	337	13	80	80	NUM
ejpam-6711	337	14	100	100	NUM
ejpam-6711	337	15	time	time	NOUN
ejpam-6711	337	16	(	(	PUNCT
ejpam-6711	337	17	days	day	NOUN
ejpam-6711	337	18	)	)	PUNCT
ejpam-6711	337	19	2	2	NUM
ejpam-6711	337	20	4	4	NUM
ejpam-6711	337	21	6	6	NUM
ejpam-6711	337	22	8	8	NUM
ejpam-6711	337	23	10	10	NUM
ejpam-6711	337	24	po	po	NOUN
ejpam-6711	337	25	pu	pu	PROPN
ejpam-6711	337	26	la	la	PROPN
ejpam-6711	337	27	tio	tio	PROPN
ejpam-6711	337	28	n	n	PROPN
ejpam-6711	337	29	(	(	PUNCT
ejpam-6711	337	30	d	d	X
ejpam-6711	337	31	)	)	PUNCT
ejpam-6711	337	32	i	i	NOUN
ejpam-6711	337	33	d	d	NOUN
ejpam-6711	337	34	=	=	AUX
ejpam-6711	337	35	0.05	0.05	NUM
ejpam-6711	337	36	=	=	SYM
ejpam-6711	337	37	0.1	0.1	NUM
ejpam-6711	337	38	=	=	SYM
ejpam-6711	337	39	0.15	0.15	NUM
ejpam-6711	337	40	=	=	NOUN
ejpam-6711	337	41	0.2	0.2	NUM
ejpam-6711	337	42	0	0	NUM
ejpam-6711	337	43	20	20	NUM
ejpam-6711	337	44	40	40	NUM
ejpam-6711	337	45	60	60	NUM
ejpam-6711	337	46	80	80	NUM
ejpam-6711	337	47	100	100	NUM
ejpam-6711	337	48	time	time	NOUN
ejpam-6711	337	49	(	(	PUNCT
ejpam-6711	337	50	days	day	NOUN
ejpam-6711	337	51	)	)	PUNCT
ejpam-6711	337	52	4	4	NUM
ejpam-6711	337	53	6	6	NUM
ejpam-6711	337	54	8	8	NUM
ejpam-6711	337	55	10	10	NUM
ejpam-6711	337	56	12	12	NUM
ejpam-6711	337	57	14	14	NUM
ejpam-6711	337	58	16	16	NUM
ejpam-6711	337	59	po	po	NOUN
ejpam-6711	337	60	pu	pu	PROPN
ejpam-6711	337	61	la	la	PROPN
ejpam-6711	338	1	tio	tio	PROPN
ejpam-6711	339	1	n	n	PROPN
ejpam-6711	340	1	(	(	PUNCT
ejpam-6711	340	2	e	e	NOUN
ejpam-6711	340	3	)	)	PUNCT
ejpam-6711	340	4	tp	tp	ADP
ejpam-6711	340	5	=	=	NOUN
ejpam-6711	340	6	0.05	0.05	NUM
ejpam-6711	340	7	=	=	SYM
ejpam-6711	340	8	0.1	0.1	NUM
ejpam-6711	340	9	=	=	SYM
ejpam-6711	340	10	0.15	0.15	NUM
ejpam-6711	340	11	=	=	NOUN
ejpam-6711	340	12	0.2	0.2	NUM
ejpam-6711	340	13	0	0	NUM
ejpam-6711	340	14	20	20	NUM
ejpam-6711	340	15	40	40	NUM
ejpam-6711	340	16	60	60	NUM
ejpam-6711	340	17	80	80	NUM
ejpam-6711	340	18	100	100	NUM
ejpam-6711	340	19	time	time	NOUN
ejpam-6711	340	20	(	(	PUNCT
ejpam-6711	340	21	days	day	NOUN
ejpam-6711	340	22	)	)	PUNCT
ejpam-6711	340	23	2	2	NUM
ejpam-6711	340	24	4	4	NUM
ejpam-6711	340	25	6	6	NUM
ejpam-6711	340	26	8	8	NUM
ejpam-6711	340	27	10	10	NUM
ejpam-6711	340	28	12	12	NUM
ejpam-6711	340	29	14	14	NUM
ejpam-6711	340	30	po	po	NOUN
ejpam-6711	340	31	pu	pu	PROPN
ejpam-6711	340	32	la	la	PROPN
ejpam-6711	340	33	tio	tio	PROPN
ejpam-6711	341	1	n	n	PROPN
ejpam-6711	341	2	(	(	PUNCT
ejpam-6711	341	3	f	f	X
ejpam-6711	341	4	)	)	PUNCT
ejpam-6711	341	5	th	th	X
ejpam-6711	342	1	=	=	NOUN
ejpam-6711	342	2	0.05	0.05	NUM
ejpam-6711	342	3	=	=	SYM
ejpam-6711	342	4	0.1	0.1	NUM
ejpam-6711	342	5	=	=	SYM
ejpam-6711	342	6	0.15	0.15	NUM
ejpam-6711	342	7	=	=	NOUN
ejpam-6711	342	8	0.2	0.2	NUM
ejpam-6711	342	9	0	0	NUM
ejpam-6711	342	10	20	20	NUM
ejpam-6711	342	11	40	40	NUM
ejpam-6711	342	12	60	60	NUM
ejpam-6711	342	13	80	80	NUM
ejpam-6711	342	14	100	100	NUM
ejpam-6711	342	15	time	time	NOUN
ejpam-6711	342	16	(	(	PUNCT
ejpam-6711	342	17	days	day	NOUN
ejpam-6711	342	18	)	)	PUNCT
ejpam-6711	342	19	2.5	2.5	NUM
ejpam-6711	342	20	5.0	5.0	NUM
ejpam-6711	342	21	7.5	7.5	NUM
ejpam-6711	342	22	10.0	10.0	NUM
ejpam-6711	342	23	12.5	12.5	NUM
ejpam-6711	342	24	15.0	15.0	NUM
ejpam-6711	342	25	17.5	17.5	NUM
ejpam-6711	342	26	po	po	NOUN
ejpam-6711	342	27	pu	pu	PROPN
ejpam-6711	342	28	la	la	PROPN
ejpam-6711	342	29	tio	tio	PROPN
ejpam-6711	342	30	n	n	PROPN
ejpam-6711	342	31	(	(	PUNCT
ejpam-6711	342	32	g	g	NOUN
ejpam-6711	342	33	)	)	PUNCT
ejpam-6711	342	34	r	r	NOUN
ejpam-6711	342	35	=	=	NOUN
ejpam-6711	342	36	0.05	0.05	NUM
ejpam-6711	342	37	=	=	SYM
ejpam-6711	342	38	0.1	0.1	NUM
ejpam-6711	342	39	=	=	SYM
ejpam-6711	342	40	0.15	0.15	NUM
ejpam-6711	342	41	=	=	NOUN
ejpam-6711	342	42	0.2	0.2	NUM
ejpam-6711	342	43	figure	figure	NOUN
ejpam-6711	342	44	16	16	NUM
ejpam-6711	342	45	:	:	PUNCT
ejpam-6711	342	46	effect	effect	NOUN
ejpam-6711	342	47	of	of	ADP
ejpam-6711	342	48	φ	φ	PROPN
ejpam-6711	342	49	on	on	ADP
ejpam-6711	342	50	the	the	DET
ejpam-6711	342	51	model	model	NOUN
ejpam-6711	342	52	(	(	PUNCT
ejpam-6711	342	53	2.1	2.1	NUM
ejpam-6711	342	54	)	)	PUNCT
ejpam-6711	342	55	figure	figure	NOUN
ejpam-6711	342	56	17	17	NUM
ejpam-6711	342	57	and	and	CCONJ
ejpam-6711	342	58	figure	figure	VERB
ejpam-6711	342	59	18	18	NUM
ejpam-6711	342	60	demonstrate	demonstrate	NOUN
ejpam-6711	342	61	that	that	SCONJ
ejpam-6711	342	62	increasing	increase	VERB
ejpam-6711	342	63	the	the	DET
ejpam-6711	342	64	treatment	treatment	NOUN
ejpam-6711	342	65	transition	transition	NOUN
ejpam-6711	342	66	rate	rate	NOUN
ejpam-6711	342	67	σ	σ	PROPN
ejpam-6711	342	68	leads	lead	VERB
ejpam-6711	342	69	to	to	ADP
ejpam-6711	342	70	a	a	DET
ejpam-6711	342	71	significant	significant	ADJ
ejpam-6711	342	72	reduction	reduction	NOUN
ejpam-6711	342	73	in	in	ADP
ejpam-6711	342	74	the	the	DET
ejpam-6711	342	75	population	population	NOUN
ejpam-6711	342	76	of	of	ADP
ejpam-6711	342	77	untreated	untreated	ADJ
ejpam-6711	342	78	drug	drug	NOUN
ejpam-6711	342	79	abusers	abuser	NOUN
ejpam-6711	342	80	(	(	PUNCT
ejpam-6711	342	81	i	i	NOUN
ejpam-6711	342	82	d	d	PROPN
ejpam-6711	342	83	)	)	PUNCT
ejpam-6711	342	84	.	.	PUNCT
ejpam-6711	343	1	as	as	SCONJ
ejpam-6711	343	2	more	more	ADJ
ejpam-6711	343	3	individuals	individual	NOUN
ejpam-6711	343	4	move	move	VERB
ejpam-6711	343	5	into	into	ADP
ejpam-6711	343	6	treatment	treatment	NOUN
ejpam-6711	343	7	,	,	PUNCT
ejpam-6711	343	8	the	the	DET
ejpam-6711	343	9	number	number	NOUN
ejpam-6711	343	10	of	of	ADP
ejpam-6711	343	11	recovered	recover	VERB
ejpam-6711	343	12	individuals	individual	NOUN
ejpam-6711	343	13	(	(	PUNCT
ejpam-6711	343	14	r	r	NOUN
ejpam-6711	343	15	)	)	PUNCT
ejpam-6711	343	16	rises	rise	VERB
ejpam-6711	343	17	steadily	steadily	ADV
ejpam-6711	343	18	.	.	PUNCT
ejpam-6711	344	1	this	this	DET
ejpam-6711	344	2	shift	shift	NOUN
ejpam-6711	344	3	also	also	ADV
ejpam-6711	344	4	results	result	VERB
ejpam-6711	344	5	in	in	ADP
ejpam-6711	344	6	a	a	DET
ejpam-6711	344	7	lower	low	ADJ
ejpam-6711	344	8	influx	influx	NOUN
ejpam-6711	344	9	of	of	ADP
ejpam-6711	344	10	new	new	ADJ
ejpam-6711	344	11	high	high	ADJ
ejpam-6711	344	12	-	-	PUNCT
ejpam-6711	344	13	risk	risk	NOUN
ejpam-6711	344	14	and	and	CCONJ
ejpam-6711	344	15	low	low	ADJ
ejpam-6711	344	16	-	-	PUNCT
ejpam-6711	344	17	risk	risk	NOUN
ejpam-6711	344	18	susceptibles	susceptible	NOUN
ejpam-6711	344	19	,	,	PUNCT
ejpam-6711	344	20	as	as	SCONJ
ejpam-6711	344	21	fewer	few	ADJ
ejpam-6711	344	22	untreated	untreated	ADJ
ejpam-6711	344	23	abusers	abuser	NOUN
ejpam-6711	344	24	are	be	AUX
ejpam-6711	344	25	present	present	ADJ
ejpam-6711	344	26	to	to	PART
ejpam-6711	344	27	influence	influence	VERB
ejpam-6711	344	28	them	they	PRON
ejpam-6711	344	29	.	.	PUNCT
ejpam-6711	345	1	overall	overall	ADV
ejpam-6711	345	2	,	,	PUNCT
ejpam-6711	345	3	a	a	DET
ejpam-6711	345	4	higher	high	ADJ
ejpam-6711	345	5	σ	σ	NOUN
ejpam-6711	345	6	enhances	enhance	NOUN
ejpam-6711	345	7	recovery	recovery	NOUN
ejpam-6711	345	8	outcomes	outcome	NOUN
ejpam-6711	345	9	and	and	CCONJ
ejpam-6711	345	10	curtails	curtail	VERB
ejpam-6711	345	11	the	the	DET
ejpam-6711	345	12	cycle	cycle	NOUN
ejpam-6711	345	13	of	of	ADP
ejpam-6711	345	14	addiction	addiction	NOUN
ejpam-6711	345	15	within	within	ADP
ejpam-6711	345	16	the	the	DET
ejpam-6711	345	17	population	population	NOUN
ejpam-6711	345	18	.	.	PUNCT
ejpam-6711	346	1	l.	l.	PROPN
ejpam-6711	346	2	yaseen	yaseen	PROPN
ejpam-6711	346	3	et	et	PROPN
ejpam-6711	346	4	al	al	PROPN
ejpam-6711	346	5	.	.	PUNCT
ejpam-6711	346	6	/	/	SYM
ejpam-6711	346	7	eur	eur	PROPN
ejpam-6711	346	8	.	.	PUNCT
ejpam-6711	347	1	j.	j.	PROPN
ejpam-6711	347	2	pure	pure	PROPN
ejpam-6711	347	3	appl	appl	PROPN
ejpam-6711	347	4	.	.	PROPN
ejpam-6711	347	5	math	math	PROPN
ejpam-6711	347	6	,	,	PUNCT
ejpam-6711	347	7	18	18	NUM
ejpam-6711	347	8	(	(	PUNCT
ejpam-6711	347	9	4	4	NUM
ejpam-6711	347	10	)	)	PUNCT
ejpam-6711	347	11	(	(	PUNCT
ejpam-6711	347	12	2025	2025	NUM
ejpam-6711	347	13	)	)	PUNCT
ejpam-6711	347	14	,	,	PUNCT
ejpam-6711	347	15	6711	6711	NUM
ejpam-6711	347	16	24	24	NUM
ejpam-6711	347	17	of	of	ADP
ejpam-6711	347	18	29	29	NUM
ejpam-6711	347	19	0	0	NUM
ejpam-6711	347	20	20	20	NUM
ejpam-6711	347	21	40	40	NUM
ejpam-6711	347	22	60	60	NUM
ejpam-6711	347	23	80	80	NUM
ejpam-6711	347	24	100	100	NUM
ejpam-6711	347	25	time	time	NOUN
ejpam-6711	347	26	(	(	PUNCT
ejpam-6711	347	27	days	day	NOUN
ejpam-6711	347	28	)	)	PUNCT
ejpam-6711	347	29	20	20	NUM
ejpam-6711	347	30	40	40	NUM
ejpam-6711	347	31	60	60	NUM
ejpam-6711	347	32	80	80	NUM
ejpam-6711	347	33	100	100	NUM
ejpam-6711	347	34	po	po	X
ejpam-6711	347	35	pu	pu	PROPN
ejpam-6711	347	36	la	la	PROPN
ejpam-6711	347	37	tio	tio	PROPN
ejpam-6711	347	38	n	n	PROPN
ejpam-6711	347	39	(	(	PUNCT
ejpam-6711	347	40	a	a	NOUN
ejpam-6711	347	41	)	)	PUNCT
ejpam-6711	347	42	si	si	NOUN
ejpam-6711	348	1	=	=	NOUN
ejpam-6711	348	2	0.05	0.05	NUM
ejpam-6711	348	3	=	=	SYM
ejpam-6711	348	4	0.1	0.1	NUM
ejpam-6711	348	5	=	=	SYM
ejpam-6711	348	6	0.15	0.15	NUM
ejpam-6711	348	7	=	=	NOUN
ejpam-6711	348	8	0.2	0.2	NUM
ejpam-6711	348	9	0	0	NUM
ejpam-6711	348	10	20	20	NUM
ejpam-6711	348	11	40	40	NUM
ejpam-6711	348	12	60	60	NUM
ejpam-6711	348	13	80	80	NUM
ejpam-6711	348	14	100	100	NUM
ejpam-6711	348	15	time	time	NOUN
ejpam-6711	348	16	(	(	PUNCT
ejpam-6711	348	17	days	day	NOUN
ejpam-6711	348	18	)	)	PUNCT
ejpam-6711	348	19	10	10	NUM
ejpam-6711	348	20	20	20	NUM
ejpam-6711	348	21	30	30	NUM
ejpam-6711	348	22	40	40	NUM
ejpam-6711	348	23	50	50	NUM
ejpam-6711	348	24	po	po	NOUN
ejpam-6711	348	25	pu	pu	PROPN
ejpam-6711	348	26	la	la	PROPN
ejpam-6711	349	1	tio	tio	PROPN
ejpam-6711	350	1	n	n	PROPN
ejpam-6711	351	1	(	(	PUNCT
ejpam-6711	351	2	b	b	NOUN
ejpam-6711	351	3	)	)	PUNCT
ejpam-6711	351	4	sd	sd	ADP
ejpam-6711	351	5	=	=	NOUN
ejpam-6711	351	6	0.05	0.05	NUM
ejpam-6711	351	7	=	=	SYM
ejpam-6711	351	8	0.1	0.1	NUM
ejpam-6711	351	9	=	=	SYM
ejpam-6711	351	10	0.15	0.15	NUM
ejpam-6711	351	11	=	=	NOUN
ejpam-6711	351	12	0.2	0.2	NUM
ejpam-6711	351	13	0	0	NUM
ejpam-6711	351	14	20	20	NUM
ejpam-6711	351	15	40	40	NUM
ejpam-6711	351	16	60	60	NUM
ejpam-6711	351	17	80	80	NUM
ejpam-6711	351	18	100	100	NUM
ejpam-6711	351	19	time	time	NOUN
ejpam-6711	351	20	(	(	PUNCT
ejpam-6711	351	21	days	day	NOUN
ejpam-6711	351	22	)	)	PUNCT
ejpam-6711	351	23	2	2	NUM
ejpam-6711	351	24	4	4	NUM
ejpam-6711	351	25	6	6	NUM
ejpam-6711	351	26	8	8	NUM
ejpam-6711	351	27	10	10	NUM
ejpam-6711	351	28	12	12	NUM
ejpam-6711	351	29	14	14	NUM
ejpam-6711	351	30	po	po	NOUN
ejpam-6711	351	31	pu	pu	PROPN
ejpam-6711	351	32	la	la	PROPN
ejpam-6711	351	33	tio	tio	PROPN
ejpam-6711	351	34	n	n	PROPN
ejpam-6711	351	35	(	(	PUNCT
ejpam-6711	351	36	c	c	NOUN
ejpam-6711	351	37	)	)	PUNCT
ejpam-6711	351	38	p	p	NOUN
ejpam-6711	352	1	=	=	NOUN
ejpam-6711	352	2	0.05	0.05	NUM
ejpam-6711	352	3	=	=	SYM
ejpam-6711	352	4	0.1	0.1	NUM
ejpam-6711	352	5	=	=	SYM
ejpam-6711	352	6	0.15	0.15	NUM
ejpam-6711	352	7	=	=	NOUN
ejpam-6711	352	8	0.2	0.2	NUM
ejpam-6711	352	9	0	0	NUM
ejpam-6711	352	10	20	20	NUM
ejpam-6711	352	11	40	40	NUM
ejpam-6711	352	12	60	60	NUM
ejpam-6711	352	13	80	80	NUM
ejpam-6711	352	14	100	100	NUM
ejpam-6711	352	15	time	time	NOUN
ejpam-6711	352	16	(	(	PUNCT
ejpam-6711	352	17	days	day	NOUN
ejpam-6711	352	18	)	)	PUNCT
ejpam-6711	352	19	2	2	NUM
ejpam-6711	352	20	3	3	NUM
ejpam-6711	352	21	4	4	NUM
ejpam-6711	352	22	5	5	NUM
ejpam-6711	352	23	6	6	NUM
ejpam-6711	352	24	7	7	NUM
ejpam-6711	352	25	8	8	NUM
ejpam-6711	352	26	9	9	NUM
ejpam-6711	352	27	po	po	NOUN
ejpam-6711	352	28	pu	pu	PROPN
ejpam-6711	352	29	la	la	PROPN
ejpam-6711	352	30	tio	tio	PROPN
ejpam-6711	352	31	n	n	PROPN
ejpam-6711	352	32	(	(	PUNCT
ejpam-6711	352	33	d	d	X
ejpam-6711	352	34	)	)	PUNCT
ejpam-6711	352	35	i	i	NOUN
ejpam-6711	352	36	d	d	NOUN
ejpam-6711	352	37	=	=	AUX
ejpam-6711	352	38	0.05	0.05	NUM
ejpam-6711	352	39	=	=	SYM
ejpam-6711	352	40	0.1	0.1	NUM
ejpam-6711	352	41	=	=	SYM
ejpam-6711	352	42	0.15	0.15	NUM
ejpam-6711	352	43	=	=	NOUN
ejpam-6711	352	44	0.2	0.2	NUM
ejpam-6711	352	45	0	0	NUM
ejpam-6711	352	46	20	20	NUM
ejpam-6711	352	47	40	40	NUM
ejpam-6711	352	48	60	60	NUM
ejpam-6711	352	49	80	80	NUM
ejpam-6711	352	50	100	100	NUM
ejpam-6711	352	51	time	time	NOUN
ejpam-6711	352	52	(	(	PUNCT
ejpam-6711	352	53	days	day	NOUN
ejpam-6711	352	54	)	)	PUNCT
ejpam-6711	352	55	4	4	NUM
ejpam-6711	352	56	6	6	NUM
ejpam-6711	352	57	8	8	NUM
ejpam-6711	352	58	10	10	NUM
ejpam-6711	352	59	12	12	NUM
ejpam-6711	352	60	14	14	NUM
ejpam-6711	352	61	16	16	NUM
ejpam-6711	352	62	po	po	NOUN
ejpam-6711	352	63	pu	pu	PROPN
ejpam-6711	352	64	la	la	PROPN
ejpam-6711	353	1	tio	tio	PROPN
ejpam-6711	354	1	n	n	PROPN
ejpam-6711	355	1	(	(	PUNCT
ejpam-6711	355	2	e	e	NOUN
ejpam-6711	355	3	)	)	PUNCT
ejpam-6711	355	4	tp	tp	ADP
ejpam-6711	355	5	=	=	NOUN
ejpam-6711	355	6	0.05	0.05	NUM
ejpam-6711	355	7	=	=	SYM
ejpam-6711	355	8	0.1	0.1	NUM
ejpam-6711	355	9	=	=	SYM
ejpam-6711	355	10	0.15	0.15	NUM
ejpam-6711	355	11	=	=	NOUN
ejpam-6711	355	12	0.2	0.2	NUM
ejpam-6711	355	13	0	0	NUM
ejpam-6711	355	14	20	20	NUM
ejpam-6711	355	15	40	40	NUM
ejpam-6711	355	16	60	60	NUM
ejpam-6711	355	17	80	80	NUM
ejpam-6711	355	18	100	100	NUM
ejpam-6711	355	19	time	time	NOUN
ejpam-6711	355	20	(	(	PUNCT
ejpam-6711	355	21	days	day	NOUN
ejpam-6711	355	22	)	)	PUNCT
ejpam-6711	355	23	2	2	NUM
ejpam-6711	355	24	4	4	NUM
ejpam-6711	355	25	6	6	NUM
ejpam-6711	355	26	8	8	NUM
ejpam-6711	355	27	10	10	NUM
ejpam-6711	355	28	12	12	NUM
ejpam-6711	355	29	14	14	NUM
ejpam-6711	355	30	po	po	NOUN
ejpam-6711	355	31	pu	pu	PROPN
ejpam-6711	355	32	la	la	PROPN
ejpam-6711	355	33	tio	tio	PROPN
ejpam-6711	356	1	n	n	PROPN
ejpam-6711	356	2	(	(	PUNCT
ejpam-6711	356	3	f	f	X
ejpam-6711	356	4	)	)	PUNCT
ejpam-6711	356	5	th	th	X
ejpam-6711	357	1	=	=	NOUN
ejpam-6711	357	2	0.05	0.05	NUM
ejpam-6711	357	3	=	=	SYM
ejpam-6711	357	4	0.1	0.1	NUM
ejpam-6711	357	5	=	=	SYM
ejpam-6711	357	6	0.15	0.15	NUM
ejpam-6711	357	7	=	=	NOUN
ejpam-6711	357	8	0.2	0.2	NUM
ejpam-6711	357	9	0	0	NUM
ejpam-6711	357	10	20	20	NUM
ejpam-6711	357	11	40	40	NUM
ejpam-6711	357	12	60	60	NUM
ejpam-6711	357	13	80	80	NUM
ejpam-6711	357	14	100	100	NUM
ejpam-6711	357	15	time	time	NOUN
ejpam-6711	357	16	(	(	PUNCT
ejpam-6711	357	17	days	day	NOUN
ejpam-6711	357	18	)	)	PUNCT
ejpam-6711	357	19	2.5	2.5	NUM
ejpam-6711	357	20	5.0	5.0	NUM
ejpam-6711	357	21	7.5	7.5	NUM
ejpam-6711	357	22	10.0	10.0	NUM
ejpam-6711	357	23	12.5	12.5	NUM
ejpam-6711	357	24	15.0	15.0	NUM
ejpam-6711	357	25	17.5	17.5	NUM
ejpam-6711	357	26	20.0	20.0	NUM
ejpam-6711	357	27	po	po	NOUN
ejpam-6711	357	28	pu	pu	PROPN
ejpam-6711	357	29	la	la	PROPN
ejpam-6711	357	30	tio	tio	PROPN
ejpam-6711	357	31	n	n	PROPN
ejpam-6711	357	32	(	(	PUNCT
ejpam-6711	357	33	g	g	NOUN
ejpam-6711	357	34	)	)	PUNCT
ejpam-6711	357	35	r	r	NOUN
ejpam-6711	357	36	=	=	NOUN
ejpam-6711	357	37	0.05	0.05	NUM
ejpam-6711	357	38	=	=	SYM
ejpam-6711	357	39	0.1	0.1	NUM
ejpam-6711	357	40	=	=	SYM
ejpam-6711	357	41	0.15	0.15	NUM
ejpam-6711	357	42	=	=	NOUN
ejpam-6711	357	43	0.2	0.2	NUM
ejpam-6711	357	44	figure	figure	NOUN
ejpam-6711	357	45	17	17	NUM
ejpam-6711	357	46	:	:	PUNCT
ejpam-6711	357	47	effect	effect	NOUN
ejpam-6711	357	48	of	of	ADP
ejpam-6711	357	49	the	the	DET
ejpam-6711	357	50	treatment	treatment	NOUN
ejpam-6711	357	51	transition	transition	NOUN
ejpam-6711	357	52	rate	rate	NOUN
ejpam-6711	357	53	σ	σ	PROPN
ejpam-6711	357	54	on	on	ADP
ejpam-6711	357	55	the	the	DET
ejpam-6711	357	56	model	model	NOUN
ejpam-6711	357	57	.	.	PUNCT
ejpam-6711	358	1	l.	l.	PROPN
ejpam-6711	358	2	yaseen	yaseen	PROPN
ejpam-6711	358	3	et	et	PROPN
ejpam-6711	358	4	al	al	PROPN
ejpam-6711	358	5	.	.	PUNCT
ejpam-6711	358	6	/	/	SYM
ejpam-6711	358	7	eur	eur	PROPN
ejpam-6711	358	8	.	.	PUNCT
ejpam-6711	359	1	j.	j.	PROPN
ejpam-6711	359	2	pure	pure	PROPN
ejpam-6711	359	3	appl	appl	PROPN
ejpam-6711	359	4	.	.	PROPN
ejpam-6711	359	5	math	math	PROPN
ejpam-6711	359	6	,	,	PUNCT
ejpam-6711	359	7	18	18	NUM
ejpam-6711	359	8	(	(	PUNCT
ejpam-6711	359	9	4	4	NUM
ejpam-6711	359	10	)	)	PUNCT
ejpam-6711	359	11	(	(	PUNCT
ejpam-6711	359	12	2025	2025	NUM
ejpam-6711	359	13	)	)	PUNCT
ejpam-6711	359	14	,	,	PUNCT
ejpam-6711	359	15	6711	6711	NUM
ejpam-6711	359	16	25	25	NUM
ejpam-6711	359	17	of	of	ADP
ejpam-6711	359	18	29	29	NUM
ejpam-6711	359	19	=	=	SYM
ejpam-6711	359	20	0.05	0.05	NUM
ejpam-6711	359	21	=	=	SYM
ejpam-6711	359	22	0.1	0.1	NUM
ejpam-6711	359	23	=	=	SYM
ejpam-6711	359	24	0.15	0.15	NUM
ejpam-6711	359	25	=	=	NOUN
ejpam-6711	359	26	0.2	0.2	NUM
ejpam-6711	359	27	0.0	0.0	NUM
ejpam-6711	359	28	2.5	2.5	NUM
ejpam-6711	359	29	5.0	5.0	NUM
ejpam-6711	359	30	7.5	7.5	NUM
ejpam-6711	359	31	10.0	10.0	NUM
ejpam-6711	359	32	12.5	12.5	NUM
ejpam-6711	359	33	15.0	15.0	NUM
ejpam-6711	359	34	17.5	17.5	NUM
ejpam-6711	359	35	20.0	20.0	NUM
ejpam-6711	359	36	active	active	ADJ
ejpam-6711	359	37	drug	drug	NOUN
ejpam-6711	359	38	abusers	abuser	NOUN
ejpam-6711	359	39	(	(	PUNCT
ejpam-6711	359	40	i	i	NOUN
ejpam-6711	359	41	d	d	PROPN
ejpam-6711	359	42	)	)	PUNCT
ejpam-6711	359	43	figure	figure	NOUN
ejpam-6711	359	44	18	18	NUM
ejpam-6711	359	45	:	:	PUNCT
ejpam-6711	359	46	spatial	spatial	ADJ
ejpam-6711	359	47	distribution	distribution	NOUN
ejpam-6711	359	48	of	of	ADP
ejpam-6711	359	49	active	active	ADJ
ejpam-6711	359	50	drug	drug	NOUN
ejpam-6711	359	51	abusers	abuser	NOUN
ejpam-6711	359	52	(	(	PUNCT
ejpam-6711	359	53	i	i	NOUN
ejpam-6711	359	54	d	d	PROPN
ejpam-6711	359	55	)	)	PUNCT
ejpam-6711	359	56	at	at	ADP
ejpam-6711	359	57	final	final	ADJ
ejpam-6711	359	58	time	time	NOUN
ejpam-6711	359	59	for	for	ADP
ejpam-6711	359	60	varying	vary	VERB
ejpam-6711	359	61	treatment	treatment	NOUN
ejpam-6711	359	62	rates	rate	NOUN
ejpam-6711	359	63	(	(	PUNCT
ejpam-6711	359	64	σ	σ	NOUN
ejpam-6711	359	65	)	)	PUNCT
ejpam-6711	359	66	across	across	ADP
ejpam-6711	359	67	the	the	DET
ejpam-6711	359	68	population	population	NOUN
ejpam-6711	359	69	.	.	PUNCT
ejpam-6711	360	1	l.	l.	PROPN
ejpam-6711	360	2	yaseen	yaseen	PROPN
ejpam-6711	360	3	et	et	PROPN
ejpam-6711	360	4	al	al	PROPN
ejpam-6711	360	5	.	.	PUNCT
ejpam-6711	360	6	/	/	SYM
ejpam-6711	360	7	eur	eur	PROPN
ejpam-6711	360	8	.	.	PUNCT
ejpam-6711	361	1	j.	j.	PROPN
ejpam-6711	361	2	pure	pure	PROPN
ejpam-6711	361	3	appl	appl	PROPN
ejpam-6711	361	4	.	.	PROPN
ejpam-6711	361	5	math	math	PROPN
ejpam-6711	361	6	,	,	PUNCT
ejpam-6711	361	7	18	18	NUM
ejpam-6711	361	8	(	(	PUNCT
ejpam-6711	361	9	4	4	NUM
ejpam-6711	361	10	)	)	PUNCT
ejpam-6711	361	11	(	(	PUNCT
ejpam-6711	361	12	2025	2025	NUM
ejpam-6711	361	13	)	)	PUNCT
ejpam-6711	361	14	,	,	PUNCT
ejpam-6711	361	15	6711	6711	NUM
ejpam-6711	361	16	26	26	NUM
ejpam-6711	361	17	of	of	ADP
ejpam-6711	361	18	29	29	NUM
ejpam-6711	361	19	parameter	parameter	NOUN
ejpam-6711	361	20	value	value	NOUN
ejpam-6711	361	21	source	source	NOUN
ejpam-6711	361	22	β1	β1	PROPN
ejpam-6711	361	23	0.3	0.3	NUM
ejpam-6711	361	24	[	[	X
ejpam-6711	361	25	18	18	NUM
ejpam-6711	361	26	]	]	SYM
ejpam-6711	361	27	η	η	PROPN
ejpam-6711	361	28	0.2	0.2	PROPN
ejpam-6711	361	29	assumed	assume	VERB
ejpam-6711	361	30	ρ	ρ	PROPN
ejpam-6711	361	31	0.1	0.1	NUM
ejpam-6711	361	32	assumed	assume	VERB
ejpam-6711	361	33	∆	∆	PROPN
ejpam-6711	361	34	0.4	0.4	NUM
ejpam-6711	361	35	assumed	assume	VERB
ejpam-6711	361	36	δ1	δ1	NOUN
ejpam-6711	361	37	0.05	0.05	NUM
ejpam-6711	361	38	[	[	X
ejpam-6711	361	39	18	18	NUM
ejpam-6711	361	40	]	]	X
ejpam-6711	361	41	δ2	δ2	PROPN
ejpam-6711	361	42	0.05	0.05	NUM
ejpam-6711	361	43	assumed	assume	VERB
ejpam-6711	361	44	ϕ	ϕ	PROPN
ejpam-6711	361	45	0.1	0.1	NUM
ejpam-6711	361	46	assumed	assume	VERB
ejpam-6711	361	47	µ	µ	PROPN
ejpam-6711	361	48	0.01	0.01	NUM
ejpam-6711	361	49	assumed	assume	VERB
ejpam-6711	361	50	α1	α1	PROPN
ejpam-6711	361	51	0.02	0.02	NUM
ejpam-6711	361	52	[	[	X
ejpam-6711	361	53	18	18	NUM
ejpam-6711	361	54	]	]	X
ejpam-6711	361	55	α2	α2	PROPN
ejpam-6711	361	56	0.03	0.03	NUM
ejpam-6711	361	57	assumed	assume	VERB
ejpam-6711	361	58	α3	α3	PROPN
ejpam-6711	361	59	0.01	0.01	NUM
ejpam-6711	361	60	assumed	assume	VERB
ejpam-6711	361	61	γ	γ	X
ejpam-6711	361	62	0.5	0.5	NUM
ejpam-6711	361	63	[	[	SYM
ejpam-6711	361	64	18	18	NUM
ejpam-6711	361	65	]	]	PUNCT
ejpam-6711	361	66	σ	σ	X
ejpam-6711	361	67	0.1	0.1	NUM
ejpam-6711	361	68	assumed	assume	VERB
ejpam-6711	361	69	ω1	ω1	PROPN
ejpam-6711	361	70	0.05	0.05	NUM
ejpam-6711	361	71	[	[	X
ejpam-6711	361	72	18	18	NUM
ejpam-6711	361	73	]	]	PUNCT
ejpam-6711	361	74	λ1	λ1	PROPN
ejpam-6711	361	75	0.02	0.02	NUM
ejpam-6711	361	76	assumed	assume	VERB
ejpam-6711	361	77	ϱ1	ϱ1	PROPN
ejpam-6711	361	78	0.01	0.01	NUM
ejpam-6711	361	79	[	[	X
ejpam-6711	361	80	18	18	NUM
ejpam-6711	361	81	]	]	PUNCT
ejpam-6711	361	82	ϱ2	ϱ2	NOUN
ejpam-6711	361	83	0.01	0.01	NUM
ejpam-6711	361	84	assumed	assume	VERB
ejpam-6711	361	85	λ1	λ1	PROPN
ejpam-6711	361	86	0.01	0.01	NUM
ejpam-6711	361	87	assumed	assume	VERB
ejpam-6711	361	88	table	table	NOUN
ejpam-6711	361	89	2	2	NUM
ejpam-6711	361	90	:	:	PUNCT
ejpam-6711	361	91	parameter	parameter	NOUN
ejpam-6711	361	92	values	value	NOUN
ejpam-6711	361	93	used	use	VERB
ejpam-6711	361	94	in	in	ADP
ejpam-6711	361	95	the	the	DET
ejpam-6711	361	96	model	model	NOUN
ejpam-6711	361	97	.	.	PUNCT
ejpam-6711	362	1	initial	initial	ADJ
ejpam-6711	362	2	condition	condition	NOUN
ejpam-6711	362	3	value	value	NOUN
ejpam-6711	362	4	si(0	si(0	NOUN
ejpam-6711	362	5	)	)	PUNCT
ejpam-6711	362	6	100	100	NUM
ejpam-6711	363	1	sd(0	sd(0	NOUN
ejpam-6711	363	2	)	)	PUNCT
ejpam-6711	363	3	50	50	NUM
ejpam-6711	363	4	p	p	NOUN
ejpam-6711	363	5	(	(	PUNCT
ejpam-6711	363	6	0	0	NUM
ejpam-6711	363	7	)	)	PUNCT
ejpam-6711	363	8	10	10	NUM
ejpam-6711	363	9	id(0	id(0	NOUN
ejpam-6711	363	10	)	)	PUNCT
ejpam-6711	363	11	5	5	NUM
ejpam-6711	363	12	tp(0	tp(0	NOUN
ejpam-6711	363	13	)	)	PUNCT
ejpam-6711	363	14	3	3	NUM
ejpam-6711	363	15	th(0	th(0	NOUN
ejpam-6711	363	16	)	)	PUNCT
ejpam-6711	363	17	2	2	NUM
ejpam-6711	363	18	r(0	r(0	PROPN
ejpam-6711	363	19	)	)	PUNCT
ejpam-6711	363	20	1	1	NUM
ejpam-6711	363	21	table	table	NOUN
ejpam-6711	363	22	3	3	NUM
ejpam-6711	363	23	:	:	PUNCT
ejpam-6711	363	24	initial	initial	ADJ
ejpam-6711	363	25	conditions	condition	NOUN
ejpam-6711	363	26	of	of	ADP
ejpam-6711	363	27	model	model	NOUN
ejpam-6711	363	28	compartments	compartment	NOUN
ejpam-6711	363	29	.	.	PUNCT
ejpam-6711	364	1	7	7	X
ejpam-6711	364	2	.	.	X
ejpam-6711	364	3	conclusion	conclusion	NOUN
ejpam-6711	364	4	this	this	DET
ejpam-6711	364	5	paper	paper	NOUN
ejpam-6711	364	6	has	have	AUX
ejpam-6711	364	7	developed	develop	VERB
ejpam-6711	364	8	and	and	CCONJ
ejpam-6711	364	9	analyzed	analyze	VERB
ejpam-6711	364	10	a	a	DET
ejpam-6711	364	11	comprehensive	comprehensive	ADJ
ejpam-6711	364	12	compartmental	compartmental	ADJ
ejpam-6711	364	13	model	model	NOUN
ejpam-6711	364	14	to	to	PART
ejpam-6711	364	15	describe	describe	VERB
ejpam-6711	364	16	the	the	DET
ejpam-6711	364	17	dynamics	dynamic	NOUN
ejpam-6711	364	18	of	of	ADP
ejpam-6711	364	19	drug	drug	NOUN
ejpam-6711	364	20	addiction	addiction	NOUN
ejpam-6711	364	21	,	,	PUNCT
ejpam-6711	364	22	incorporating	incorporate	VERB
ejpam-6711	364	23	multiple	multiple	ADJ
ejpam-6711	364	24	population	population	NOUN
ejpam-6711	364	25	groups	group	NOUN
ejpam-6711	364	26	differentiated	differentiate	VERB
ejpam-6711	364	27	by	by	ADP
ejpam-6711	364	28	risk	risk	NOUN
ejpam-6711	364	29	status	status	NOUN
ejpam-6711	364	30	and	and	CCONJ
ejpam-6711	364	31	treatment	treatment	NOUN
ejpam-6711	364	32	phases	phase	NOUN
ejpam-6711	364	33	.	.	PUNCT
ejpam-6711	365	1	the	the	DET
ejpam-6711	365	2	model	model	NOUN
ejpam-6711	365	3	captures	capture	VERB
ejpam-6711	365	4	key	key	ADJ
ejpam-6711	365	5	transitions	transition	NOUN
ejpam-6711	365	6	governing	govern	VERB
ejpam-6711	365	7	addiction	addiction	NOUN
ejpam-6711	365	8	spread	spread	NOUN
ejpam-6711	365	9	and	and	CCONJ
ejpam-6711	365	10	recovery	recovery	NOUN
ejpam-6711	365	11	,	,	PUNCT
ejpam-6711	365	12	with	with	ADP
ejpam-6711	365	13	analytical	analytical	ADJ
ejpam-6711	365	14	results	result	NOUN
ejpam-6711	365	15	revealing	reveal	VERB
ejpam-6711	365	16	the	the	DET
ejpam-6711	365	17	basic	basic	ADJ
ejpam-6711	365	18	reproduction	reproduction	NOUN
ejpam-6711	365	19	number	number	NOUN
ejpam-6711	365	20	r0	r0	NOUN
ejpam-6711	365	21	.	.	PUNCT
ejpam-6711	366	1	the	the	DET
ejpam-6711	366	2	sensitivity	sensitivity	NOUN
ejpam-6711	366	3	analysis	analysis	NOUN
ejpam-6711	366	4	reveals	reveal	VERB
ejpam-6711	366	5	that	that	SCONJ
ejpam-6711	366	6	the	the	DET
ejpam-6711	366	7	parameters	parameter	NOUN
ejpam-6711	366	8	η	η	PROPN
ejpam-6711	366	9	(	(	PUNCT
ejpam-6711	366	10	treatment	treatment	NOUN
ejpam-6711	366	11	effectiveness	effectiveness	NOUN
ejpam-6711	366	12	)	)	PUNCT
ejpam-6711	366	13	and	and	CCONJ
ejpam-6711	366	14	β1	β1	PROPN
ejpam-6711	366	15	(	(	PUNCT
ejpam-6711	366	16	transmission	transmission	NOUN
ejpam-6711	366	17	rate	rate	NOUN
ejpam-6711	366	18	)	)	PUNCT
ejpam-6711	366	19	are	be	AUX
ejpam-6711	366	20	the	the	DET
ejpam-6711	366	21	most	most	ADV
ejpam-6711	366	22	sensitive	sensitive	ADJ
ejpam-6711	366	23	,	,	PUNCT
ejpam-6711	366	24	with	with	ADP
ejpam-6711	366	25	increases	increase	NOUN
ejpam-6711	366	26	in	in	ADP
ejpam-6711	366	27	these	these	DET
ejpam-6711	366	28	values	value	NOUN
ejpam-6711	366	29	leading	lead	VERB
ejpam-6711	366	30	to	to	ADP
ejpam-6711	366	31	a	a	DET
ejpam-6711	366	32	significant	significant	ADJ
ejpam-6711	366	33	rise	rise	NOUN
ejpam-6711	366	34	in	in	ADP
ejpam-6711	366	35	the	the	DET
ejpam-6711	366	36	spread	spread	NOUN
ejpam-6711	366	37	of	of	ADP
ejpam-6711	366	38	addiction	addiction	NOUN
ejpam-6711	366	39	within	within	ADP
ejpam-6711	366	40	the	the	DET
ejpam-6711	366	41	population	population	NOUN
ejpam-6711	366	42	.	.	PUNCT
ejpam-6711	367	1	numerical	numerical	ADJ
ejpam-6711	367	2	simulations	simulation	NOUN
ejpam-6711	367	3	and	and	CCONJ
ejpam-6711	367	4	phase	phase	NOUN
ejpam-6711	367	5	portraits	portrait	NOUN
ejpam-6711	367	6	further	far	ADV
ejpam-6711	367	7	illustrate	illustrate	VERB
ejpam-6711	367	8	the	the	DET
ejpam-6711	367	9	dynamic	dynamic	ADJ
ejpam-6711	367	10	interplay	interplay	NOUN
ejpam-6711	367	11	among	among	ADP
ejpam-6711	367	12	compartments	compartment	NOUN
ejpam-6711	367	13	and	and	CCONJ
ejpam-6711	367	14	demonstrate	demonstrate	VERB
ejpam-6711	367	15	the	the	DET
ejpam-6711	367	16	substantial	substantial	ADJ
ejpam-6711	367	17	impact	impact	NOUN
ejpam-6711	367	18	of	of	ADP
ejpam-6711	367	19	timely	timely	ADJ
ejpam-6711	367	20	treatment	treatment	NOUN
ejpam-6711	367	21	interventions	intervention	NOUN
ejpam-6711	367	22	in	in	ADP
ejpam-6711	367	23	reducing	reduce	VERB
ejpam-6711	367	24	addiction	addiction	NOUN
ejpam-6711	367	25	prevalence	prevalence	NOUN
ejpam-6711	367	26	.	.	PUNCT
ejpam-6711	368	1	these	these	DET
ejpam-6711	368	2	findings	finding	NOUN
ejpam-6711	368	3	underscore	underscore	VERB
ejpam-6711	368	4	the	the	DET
ejpam-6711	368	5	importance	importance	NOUN
ejpam-6711	368	6	of	of	ADP
ejpam-6711	368	7	enhancing	enhance	VERB
ejpam-6711	368	8	treatment	treatment	NOUN
ejpam-6711	368	9	accessibility	accessibility	NOUN
ejpam-6711	368	10	and	and	CCONJ
ejpam-6711	368	11	effectiveness	effectiveness	NOUN
ejpam-6711	368	12	as	as	ADP
ejpam-6711	368	13	central	central	ADJ
ejpam-6711	368	14	strategies	strategy	NOUN
ejpam-6711	368	15	for	for	ADP
ejpam-6711	368	16	public	public	ADJ
ejpam-6711	368	17	health	health	NOUN
ejpam-6711	368	18	.	.	PUNCT
ejpam-6711	369	1	future	future	ADJ
ejpam-6711	369	2	work	work	NOUN
ejpam-6711	369	3	should	should	AUX
ejpam-6711	369	4	extend	extend	VERB
ejpam-6711	369	5	the	the	DET
ejpam-6711	369	6	model	model	NOUN
ejpam-6711	369	7	to	to	PART
ejpam-6711	369	8	include	include	VERB
ejpam-6711	369	9	relapse	relapse	NOUN
ejpam-6711	369	10	,	,	PUNCT
ejpam-6711	369	11	spatial	spatial	ADJ
ejpam-6711	369	12	heterogeneity	heterogeneity	NOUN
ejpam-6711	369	13	,	,	PUNCT
ejpam-6711	369	14	and	and	CCONJ
ejpam-6711	369	15	socio	socio	NOUN
ejpam-6711	369	16	-	-	PUNCT
ejpam-6711	369	17	economic	economic	ADJ
ejpam-6711	369	18	factors	factor	NOUN
ejpam-6711	369	19	to	to	PART
ejpam-6711	369	20	better	well	ADV
ejpam-6711	369	21	inform	inform	VERB
ejpam-6711	369	22	targeted	target	VERB
ejpam-6711	369	23	prevention	prevention	NOUN
ejpam-6711	369	24	and	and	CCONJ
ejpam-6711	369	25	intervention	intervention	NOUN
ejpam-6711	369	26	policies	policy	NOUN
ejpam-6711	369	27	aimed	aim	VERB
ejpam-6711	369	28	at	at	ADP
ejpam-6711	369	29	mitigating	mitigate	VERB
ejpam-6711	369	30	the	the	DET
ejpam-6711	369	31	societal	societal	ADJ
ejpam-6711	369	32	burden	burden	NOUN
ejpam-6711	369	33	of	of	ADP
ejpam-6711	369	34	drug	drug	NOUN
ejpam-6711	369	35	addiction	addiction	NOUN
ejpam-6711	369	36	.	.	PUNCT
ejpam-6711	370	1	l.	l.	PROPN
ejpam-6711	370	2	yaseen	yaseen	PROPN
ejpam-6711	370	3	et	et	PROPN
ejpam-6711	370	4	al	al	PROPN
ejpam-6711	370	5	.	.	PUNCT
ejpam-6711	370	6	/	/	SYM
ejpam-6711	370	7	eur	eur	PROPN
ejpam-6711	370	8	.	.	PUNCT
ejpam-6711	371	1	j.	j.	PROPN
ejpam-6711	371	2	pure	pure	PROPN
ejpam-6711	371	3	appl	appl	PROPN
ejpam-6711	371	4	.	.	PROPN
ejpam-6711	371	5	math	math	PROPN
ejpam-6711	371	6	,	,	PUNCT
ejpam-6711	371	7	18	18	NUM
ejpam-6711	371	8	(	(	PUNCT
ejpam-6711	371	9	4	4	NUM
ejpam-6711	371	10	)	)	PUNCT
ejpam-6711	371	11	(	(	PUNCT
ejpam-6711	371	12	2025	2025	NUM
ejpam-6711	371	13	)	)	PUNCT
ejpam-6711	371	14	,	,	PUNCT
ejpam-6711	371	15	6711	6711	NUM
ejpam-6711	371	16	27	27	NUM
ejpam-6711	371	17	of	of	ADP
ejpam-6711	371	18	29	29	NUM
ejpam-6711	371	19	acknowledgements	acknowledgement	NOUN
ejpam-6711	371	20	authors	author	NOUN
ejpam-6711	371	21	(	(	PUNCT
ejpam-6711	371	22	dr	dr	PROPN
ejpam-6711	371	23	.	.	PROPN
ejpam-6711	371	24	nadeem	nadeem	PROPN
ejpam-6711	371	25	abbas	abbas	PROPN
ejpam-6711	371	26	and	and	CCONJ
ejpam-6711	371	27	prof	prof	PROPN
ejpam-6711	371	28	.	.	PUNCT
ejpam-6711	372	1	dr	dr	PROPN
ejpam-6711	372	2	.	.	PROPN
ejpam-6711	372	3	wasfi	wasfi	PROPN
ejpam-6711	372	4	shatanawi	shatanawi	PROPN
ejpam-6711	372	5	)	)	PUNCT
ejpam-6711	372	6	would	would	AUX
ejpam-6711	372	7	like	like	VERB
ejpam-6711	372	8	to	to	PART
ejpam-6711	372	9	thank	thank	VERB
ejpam-6711	372	10	prince	prince	PROPN
ejpam-6711	372	11	sultan	sultan	PROPN
ejpam-6711	372	12	university	university	PROPN
ejpam-6711	372	13	for	for	ADP
ejpam-6711	372	14	their	their	PRON
ejpam-6711	372	15	support	support	NOUN
ejpam-6711	372	16	through	through	ADP
ejpam-6711	372	17	the	the	DET
ejpam-6711	372	18	tas	tas	PROPN
ejpam-6711	372	19	research	research	NOUN
ejpam-6711	372	20	lab	lab	PROPN
ejpam-6711	372	21	.	.	PUNCT
ejpam-6711	373	1	data	datum	NOUN
ejpam-6711	373	2	availability	availability	NOUN
ejpam-6711	373	3	no	no	DET
ejpam-6711	373	4	data	datum	NOUN
ejpam-6711	373	5	availability	availability	NOUN
ejpam-6711	373	6	conflict	conflict	NOUN
ejpam-6711	373	7	of	of	ADP
ejpam-6711	373	8	interest	interest	NOUN
ejpam-6711	373	9	the	the	DET
ejpam-6711	373	10	authors	author	NOUN
ejpam-6711	373	11	declare	declare	VERB
ejpam-6711	373	12	that	that	SCONJ
ejpam-6711	373	13	there	there	PRON
ejpam-6711	373	14	is	be	VERB
ejpam-6711	373	15	no	no	DET
ejpam-6711	373	16	conflict	conflict	NOUN
ejpam-6711	373	17	of	of	ADP
ejpam-6711	373	18	interest	interest	NOUN
ejpam-6711	373	19	.	.	PUNCT
ejpam-6711	374	1	references	reference	NOUN
ejpam-6711	374	2	[	[	X
ejpam-6711	375	1	1	1	NUM
ejpam-6711	375	2	]	]	PUNCT
ejpam-6711	375	3	louis	louis	PROPN
ejpam-6711	375	4	sanford	sanford	PROPN
ejpam-6711	375	5	goodman	goodman	PROPN
ejpam-6711	375	6	et	et	PROPN
ejpam-6711	375	7	al	al	PROPN
ejpam-6711	375	8	.	.	PROPN
ejpam-6711	375	9	goodman	goodman	PROPN
ejpam-6711	375	10	and	and	CCONJ
ejpam-6711	375	11	gilman	gilman	PROPN
ejpam-6711	375	12	’s	’s	PART
ejpam-6711	375	13	the	the	DET
ejpam-6711	375	14	pharmacological	pharmacological	ADJ
ejpam-6711	375	15	basis	basis	NOUN
ejpam-6711	375	16	of	of	ADP
ejpam-6711	375	17	therapeutics	therapeutic	NOUN
ejpam-6711	375	18	.	.	PUNCT
ejpam-6711	375	19	1549	1549	NUM
ejpam-6711	375	20	,	,	PUNCT
ejpam-6711	375	21	1996	1996	NUM
ejpam-6711	375	22	.	.	PUNCT
ejpam-6711	376	1	[	[	X
ejpam-6711	376	2	2	2	NUM
ejpam-6711	376	3	]	]	X
ejpam-6711	376	4	roy	roy	PROPN
ejpam-6711	376	5	a	a	DET
ejpam-6711	376	6	wise	wise	ADJ
ejpam-6711	376	7	and	and	CCONJ
ejpam-6711	376	8	george	george	PROPN
ejpam-6711	376	9	f	f	PROPN
ejpam-6711	376	10	koob	koob	PROPN
ejpam-6711	376	11	.	.	PUNCT
ejpam-6711	377	1	the	the	DET
ejpam-6711	377	2	development	development	NOUN
ejpam-6711	377	3	and	and	CCONJ
ejpam-6711	377	4	maintenance	maintenance	NOUN
ejpam-6711	377	5	of	of	ADP
ejpam-6711	377	6	drug	drug	NOUN
ejpam-6711	377	7	addiction	addiction	NOUN
ejpam-6711	377	8	.	.	PUNCT
ejpam-6711	378	1	neuropsychopharmacology	neuropsychopharmacology	NOUN
ejpam-6711	378	2	,	,	PUNCT
ejpam-6711	378	3	39(2):254–262	39(2):254–262	PROPN
ejpam-6711	378	4	,	,	PUNCT
ejpam-6711	378	5	2014	2014	NUM
ejpam-6711	378	6	.	.	PUNCT
ejpam-6711	379	1	[	[	X
ejpam-6711	379	2	3	3	X
ejpam-6711	379	3	]	]	X
ejpam-6711	379	4	pablo	pablo	NOUN
ejpam-6711	379	5	ruisoto	ruisoto	PROPN
ejpam-6711	379	6	and	and	CCONJ
ejpam-6711	379	7	israel	israel	PROPN
ejpam-6711	379	8	contador	contador	PROPN
ejpam-6711	379	9	.	.	PUNCT
ejpam-6711	380	1	the	the	DET
ejpam-6711	380	2	role	role	NOUN
ejpam-6711	380	3	of	of	ADP
ejpam-6711	380	4	stress	stress	NOUN
ejpam-6711	380	5	in	in	ADP
ejpam-6711	380	6	drug	drug	NOUN
ejpam-6711	380	7	addiction	addiction	NOUN
ejpam-6711	380	8	.	.	PUNCT
ejpam-6711	381	1	an	an	DET
ejpam-6711	381	2	integrative	integrative	ADJ
ejpam-6711	381	3	review	review	NOUN
ejpam-6711	381	4	.	.	PUNCT
ejpam-6711	382	1	physiology	physiology	NOUN
ejpam-6711	382	2	&	&	CCONJ
ejpam-6711	382	3	behavior	behavior	PROPN
ejpam-6711	382	4	,	,	PUNCT
ejpam-6711	382	5	202:62–68	202:62–68	NUM
ejpam-6711	382	6	,	,	PUNCT
ejpam-6711	382	7	2019	2019	NUM
ejpam-6711	382	8	.	.	PUNCT
ejpam-6711	383	1	[	[	X
ejpam-6711	383	2	4	4	NUM
ejpam-6711	383	3	]	]	X
ejpam-6711	383	4	nadeem	nadeem	ADJ
ejpam-6711	383	5	abbas	abbas	PROPN
ejpam-6711	383	6	,	,	PUNCT
ejpam-6711	383	7	wasfi	wasfi	NOUN
ejpam-6711	383	8	shatanawi	shatanawi	ADJ
ejpam-6711	383	9	,	,	PUNCT
ejpam-6711	383	10	and	and	CCONJ
ejpam-6711	383	11	syeda	syeda	PROPN
ejpam-6711	383	12	alishwa	alishwa	NOUN
ejpam-6711	383	13	zanib	zanib	NOUN
ejpam-6711	383	14	.	.	PUNCT
ejpam-6711	384	1	a	a	DET
ejpam-6711	384	2	spatiotemporal	spatiotemporal	ADJ
ejpam-6711	384	3	framework	framework	NOUN
ejpam-6711	384	4	for	for	ADP
ejpam-6711	384	5	malaria	malaria	NOUN
ejpam-6711	384	6	control	control	NOUN
ejpam-6711	384	7	integrating	integrate	VERB
ejpam-6711	384	8	exposure	exposure	NOUN
ejpam-6711	384	9	heterogeneity	heterogeneity	NOUN
ejpam-6711	384	10	and	and	CCONJ
ejpam-6711	384	11	optimal	optimal	ADJ
ejpam-6711	384	12	strategy	strategy	NOUN
ejpam-6711	384	13	deployment	deployment	NOUN
ejpam-6711	384	14	.	.	PUNCT
ejpam-6711	385	1	european	european	PROPN
ejpam-6711	385	2	journal	journal	PROPN
ejpam-6711	385	3	of	of	ADP
ejpam-6711	385	4	pure	pure	ADJ
ejpam-6711	385	5	and	and	CCONJ
ejpam-6711	385	6	applied	applied	ADJ
ejpam-6711	385	7	mathematics	mathematic	NOUN
ejpam-6711	385	8	,	,	PUNCT
ejpam-6711	385	9	18(3):6423–6423	18(3):6423–6423	NUM
ejpam-6711	385	10	,	,	PUNCT
ejpam-6711	385	11	2025	2025	NUM
ejpam-6711	385	12	.	.	PUNCT
ejpam-6711	386	1	[	[	X
ejpam-6711	386	2	5	5	NUM
ejpam-6711	386	3	]	]	X
ejpam-6711	386	4	syeda	syeda	NOUN
ejpam-6711	386	5	alishwa	alishwa	NOUN
ejpam-6711	386	6	zanib	zanib	NOUN
ejpam-6711	386	7	and	and	CCONJ
ejpam-6711	386	8	muzamil	muzamil	NOUN
ejpam-6711	386	9	abbas	abbas	PROPN
ejpam-6711	386	10	shah	shah	PROPN
ejpam-6711	386	11	.	.	PUNCT
ejpam-6711	387	1	a	a	DET
ejpam-6711	387	2	piecewise	piecewise	NOUN
ejpam-6711	387	3	nonlinear	nonlinear	ADJ
ejpam-6711	387	4	fractionalorder	fractionalorder	ADJ
ejpam-6711	387	5	analysis	analysis	NOUN
ejpam-6711	387	6	of	of	ADP
ejpam-6711	387	7	tumor	tumor	NOUN
ejpam-6711	387	8	dynamics	dynamic	NOUN
ejpam-6711	387	9	:	:	PUNCT
ejpam-6711	387	10	estrogen	estrogen	NOUN
ejpam-6711	387	11	effects	effect	NOUN
ejpam-6711	387	12	and	and	CCONJ
ejpam-6711	387	13	sensitivity	sensitivity	NOUN
ejpam-6711	387	14	.	.	PUNCT
ejpam-6711	388	1	modeling	model	VERB
ejpam-6711	388	2	earth	earth	NOUN
ejpam-6711	388	3	systems	system	NOUN
ejpam-6711	388	4	and	and	CCONJ
ejpam-6711	388	5	environment	environment	NOUN
ejpam-6711	388	6	,	,	PUNCT
ejpam-6711	388	7	10(5):6155–6172	10(5):6155–6172	NUM
ejpam-6711	388	8	,	,	PUNCT
ejpam-6711	388	9	2024	2024	NUM
ejpam-6711	388	10	.	.	PUNCT
ejpam-6711	389	1	[	[	X
ejpam-6711	389	2	6	6	NUM
ejpam-6711	389	3	]	]	X
ejpam-6711	389	4	tamour	tamour	PROPN
ejpam-6711	389	5	zubair	zubair	PROPN
ejpam-6711	389	6	,	,	PUNCT
ejpam-6711	389	7	syeda	syeda	PROPN
ejpam-6711	389	8	alishwa	alishwa	NOUN
ejpam-6711	389	9	zanib	zanib	NOUN
ejpam-6711	389	10	,	,	PUNCT
ejpam-6711	389	11	and	and	CCONJ
ejpam-6711	389	12	muhammad	muhammad	PROPN
ejpam-6711	389	13	imran	imran	PROPN
ejpam-6711	389	14	asjad	asjad	PROPN
ejpam-6711	389	15	.	.	PUNCT
ejpam-6711	390	1	a	a	DET
ejpam-6711	390	2	novel	novel	ADJ
ejpam-6711	390	3	definition	definition	NOUN
ejpam-6711	390	4	of	of	ADP
ejpam-6711	390	5	the	the	DET
ejpam-6711	390	6	caputo	caputo	PROPN
ejpam-6711	390	7	fractional	fractional	PROPN
ejpam-6711	390	8	finite	finite	PROPN
ejpam-6711	390	9	difference	difference	NOUN
ejpam-6711	390	10	approach	approach	NOUN
ejpam-6711	390	11	for	for	ADP
ejpam-6711	390	12	maxwell	maxwell	PROPN
ejpam-6711	390	13	fluid	fluid	NOUN
ejpam-6711	390	14	.	.	PUNCT
ejpam-6711	391	1	computational	computational	ADJ
ejpam-6711	391	2	and	and	CCONJ
ejpam-6711	391	3	applied	applied	ADJ
ejpam-6711	391	4	mathematics	mathematic	NOUN
ejpam-6711	391	5	,	,	PUNCT
ejpam-6711	391	6	43(4):238	43(4):238	PROPN
ejpam-6711	391	7	,	,	PUNCT
ejpam-6711	391	8	2024	2024	NUM
ejpam-6711	391	9	.	.	PUNCT
ejpam-6711	392	1	[	[	X
ejpam-6711	392	2	7	7	NUM
ejpam-6711	392	3	]	]	X
ejpam-6711	392	4	lore	lore	NOUN
ejpam-6711	392	5	bellaert	bellaert	NOUN
ejpam-6711	392	6	,	,	PUNCT
ejpam-6711	392	7	amine	amine	ADJ
ejpam-6711	392	8	zerrouk	zerrouk	NOUN
ejpam-6711	392	9	,	,	PUNCT
ejpam-6711	392	10	deborah	deborah	PROPN
ejpam-6711	392	11	louise	louise	PROPN
ejpam-6711	392	12	sinclair	sinclair	PROPN
ejpam-6711	392	13	,	,	PUNCT
ejpam-6711	392	14	thomas	thomas	PROPN
ejpam-6711	392	15	f	f	PROPN
ejpam-6711	392	16	martinelli	martinelli	PROPN
ejpam-6711	392	17	,	,	PUNCT
ejpam-6711	392	18	david	david	PROPN
ejpam-6711	392	19	best	best	PROPN
ejpam-6711	392	20	,	,	PUNCT
ejpam-6711	392	21	freya	freya	PROPN
ejpam-6711	392	22	vander	vander	PROPN
ejpam-6711	392	23	laenen	laenen	PROPN
ejpam-6711	392	24	,	,	PUNCT
ejpam-6711	392	25	dike	dike	VERB
ejpam-6711	392	26	van	van	PROPN
ejpam-6711	392	27	de	de	X
ejpam-6711	392	28	mheen	mheen	PROPN
ejpam-6711	392	29	,	,	PUNCT
ejpam-6711	392	30	and	and	CCONJ
ejpam-6711	392	31	wouter	wouter	PROPN
ejpam-6711	392	32	vanderplasschen	vanderplasschen	PROPN
ejpam-6711	392	33	.	.	PUNCT
ejpam-6711	393	1	correlates	correlate	VERB
ejpam-6711	393	2	and	and	CCONJ
ejpam-6711	393	3	stability	stability	NOUN
ejpam-6711	393	4	of	of	ADP
ejpam-6711	393	5	recovery	recovery	NOUN
ejpam-6711	393	6	capital	capital	NOUN
ejpam-6711	393	7	among	among	ADP
ejpam-6711	393	8	persons	person	NOUN
ejpam-6711	393	9	in	in	ADP
ejpam-6711	393	10	long	long	ADJ
ejpam-6711	393	11	-	-	PUNCT
ejpam-6711	393	12	term	term	NOUN
ejpam-6711	393	13	recovery	recovery	NOUN
ejpam-6711	393	14	from	from	ADP
ejpam-6711	393	15	drug	drug	NOUN
ejpam-6711	393	16	addiction	addiction	NOUN
ejpam-6711	393	17	.	.	PUNCT
ejpam-6711	394	1	in	in	ADP
ejpam-6711	394	2	handbook	handbook	NOUN
ejpam-6711	394	3	of	of	ADP
ejpam-6711	394	4	addiction	addiction	NOUN
ejpam-6711	394	5	,	,	PUNCT
ejpam-6711	394	6	recovery	recovery	NOUN
ejpam-6711	394	7	and	and	CCONJ
ejpam-6711	394	8	quality	quality	NOUN
ejpam-6711	394	9	of	of	ADP
ejpam-6711	394	10	life	life	NOUN
ejpam-6711	394	11	:	:	PUNCT
ejpam-6711	394	12	cross	cross	ADJ
ejpam-6711	394	13	-	-	ADJ
ejpam-6711	394	14	cutting	cutting	ADJ
ejpam-6711	394	15	perspectives	perspective	NOUN
ejpam-6711	394	16	from	from	ADP
ejpam-6711	394	17	around	around	ADP
ejpam-6711	394	18	the	the	DET
ejpam-6711	394	19	globe	globe	NOUN
ejpam-6711	394	20	,	,	PUNCT
ejpam-6711	394	21	pages	page	NOUN
ejpam-6711	394	22	421–434	421–434	NUM
ejpam-6711	394	23	.	.	PUNCT
ejpam-6711	394	24	springer	springer	NOUN
ejpam-6711	394	25	,	,	PUNCT
ejpam-6711	394	26	2025	2025	NUM
ejpam-6711	394	27	.	.	PUNCT
ejpam-6711	395	1	[	[	X
ejpam-6711	395	2	8	8	NUM
ejpam-6711	395	3	]	]	SYM
ejpam-6711	395	4	adeyemi	adeyemi	ADV
ejpam-6711	395	5	olukayode	olukayode	ADJ
ejpam-6711	395	6	binuyo	binuyo	NOUN
ejpam-6711	395	7	.	.	PUNCT
ejpam-6711	396	1	mathematical	mathematical	ADJ
ejpam-6711	396	2	modelling	modelling	NOUN
ejpam-6711	396	3	of	of	ADP
ejpam-6711	396	4	the	the	DET
ejpam-6711	396	5	addiction	addiction	NOUN
ejpam-6711	396	6	of	of	ADP
ejpam-6711	396	7	drug	drug	NOUN
ejpam-6711	396	8	substances	substance	NOUN
ejpam-6711	396	9	among	among	ADP
ejpam-6711	396	10	students	student	NOUN
ejpam-6711	396	11	in	in	ADP
ejpam-6711	396	12	tertiary	tertiary	ADJ
ejpam-6711	396	13	institutions	institution	NOUN
ejpam-6711	396	14	in	in	ADP
ejpam-6711	396	15	nigeria	nigeria	PROPN
ejpam-6711	396	16	,	,	PUNCT
ejpam-6711	396	17	2021	2021	NUM
ejpam-6711	396	18	.	.	PUNCT
ejpam-6711	397	1	[	[	X
ejpam-6711	397	2	9	9	NUM
ejpam-6711	397	3	]	]	X
ejpam-6711	397	4	indah	indah	NOUN
ejpam-6711	397	5	nurun	nurun	NOUN
ejpam-6711	397	6	izzati	izzati	NOUN
ejpam-6711	397	7	and	and	CCONJ
ejpam-6711	397	8	cicik	cicik	PROPN
ejpam-6711	397	9	alfiniyah	alfiniyah	NOUN
ejpam-6711	397	10	.	.	PUNCT
ejpam-6711	398	1	fractional	fractional	ADJ
ejpam-6711	398	2	-	-	PUNCT
ejpam-6711	398	3	order	order	NOUN
ejpam-6711	398	4	model	model	NOUN
ejpam-6711	398	5	of	of	ADP
ejpam-6711	398	6	the	the	DET
ejpam-6711	398	7	drug	drug	NOUN
ejpam-6711	398	8	user	user	NOUN
ejpam-6711	398	9	transmission	transmission	PROPN
ejpam-6711	398	10	.	.	PUNCT
ejpam-6711	399	1	barekeng	barekeng	NOUN
ejpam-6711	399	2	,	,	PUNCT
ejpam-6711	399	3	19(1):511–524	19(1):511–524	NUM
ejpam-6711	399	4	,	,	PUNCT
ejpam-6711	399	5	2025	2025	NUM
ejpam-6711	399	6	.	.	PUNCT
ejpam-6711	400	1	[	[	X
ejpam-6711	400	2	10	10	NUM
ejpam-6711	400	3	]	]	X
ejpam-6711	400	4	kamal	kamal	PROPN
ejpam-6711	400	5	shah	shah	PROPN
ejpam-6711	400	6	,	,	PUNCT
ejpam-6711	400	7	muhammad	muhammad	PROPN
ejpam-6711	400	8	sarwar	sarwar	PROPN
ejpam-6711	400	9	,	,	PUNCT
ejpam-6711	400	10	thabet	thabet	ADJ
ejpam-6711	400	11	abdeljawad	abdeljawad	NOUN
ejpam-6711	400	12	,	,	PUNCT
ejpam-6711	400	13	et	et	PROPN
ejpam-6711	400	14	al	al	PROPN
ejpam-6711	400	15	.	.	PROPN
ejpam-6711	400	16	on	on	ADP
ejpam-6711	400	17	mathematical	mathematical	ADJ
ejpam-6711	400	18	model	model	NOUN
ejpam-6711	400	19	l.	l.	PROPN
ejpam-6711	400	20	yaseen	yaseen	PROPN
ejpam-6711	400	21	et	et	PROPN
ejpam-6711	400	22	al	al	PROPN
ejpam-6711	400	23	.	.	PUNCT
ejpam-6711	400	24	/	/	SYM
ejpam-6711	400	25	eur	eur	PROPN
ejpam-6711	400	26	.	.	PUNCT
ejpam-6711	401	1	j.	j.	PROPN
ejpam-6711	401	2	pure	pure	PROPN
ejpam-6711	401	3	appl	appl	PROPN
ejpam-6711	401	4	.	.	PROPN
ejpam-6711	401	5	math	math	PROPN
ejpam-6711	401	6	,	,	PUNCT
ejpam-6711	401	7	18	18	NUM
ejpam-6711	401	8	(	(	PUNCT
ejpam-6711	401	9	4	4	NUM
ejpam-6711	401	10	)	)	PUNCT
ejpam-6711	401	11	(	(	PUNCT
ejpam-6711	401	12	2025	2025	NUM
ejpam-6711	401	13	)	)	PUNCT
ejpam-6711	401	14	,	,	PUNCT
ejpam-6711	401	15	6711	6711	NUM
ejpam-6711	401	16	28	28	NUM
ejpam-6711	401	17	of	of	ADP
ejpam-6711	401	18	29	29	NUM
ejpam-6711	401	19	of	of	ADP
ejpam-6711	401	20	infectious	infectious	ADJ
ejpam-6711	401	21	disease	disease	NOUN
ejpam-6711	401	22	by	by	ADP
ejpam-6711	401	23	using	use	VERB
ejpam-6711	401	24	fractals	fractal	NOUN
ejpam-6711	401	25	fractional	fractional	ADJ
ejpam-6711	401	26	analysis	analysis	NOUN
ejpam-6711	401	27	.	.	PUNCT
ejpam-6711	402	1	discrete	discrete	ADJ
ejpam-6711	402	2	and	and	CCONJ
ejpam-6711	402	3	continuous	continuous	ADJ
ejpam-6711	402	4	dynamical	dynamical	ADJ
ejpam-6711	402	5	systems	system	NOUN
ejpam-6711	402	6	-	-	PUNCT
ejpam-6711	402	7	s	s	PROPN
ejpam-6711	402	8	,	,	PUNCT
ejpam-6711	402	9	17(10):3064–3085	17(10):3064–3085	NUM
ejpam-6711	402	10	,	,	PUNCT
ejpam-6711	402	11	2024	2024	NUM
ejpam-6711	402	12	.	.	PUNCT
ejpam-6711	403	1	[	[	X
ejpam-6711	403	2	11	11	NUM
ejpam-6711	403	3	]	]	X
ejpam-6711	403	4	kamal	kamal	PROPN
ejpam-6711	403	5	shah	shah	PROPN
ejpam-6711	403	6	,	,	PUNCT
ejpam-6711	403	7	bahaaeldin	bahaaeldin	VERB
ejpam-6711	403	8	abdalla	abdalla	PROPN
ejpam-6711	403	9	,	,	PUNCT
ejpam-6711	403	10	thabet	thabet	ADJ
ejpam-6711	403	11	abdeljawad	abdeljawad	NOUN
ejpam-6711	403	12	,	,	PUNCT
ejpam-6711	403	13	and	and	CCONJ
ejpam-6711	403	14	manar	manar	VERB
ejpam-6711	403	15	a	a	DET
ejpam-6711	403	16	alqudah	alqudah	PROPN
ejpam-6711	403	17	.	.	PUNCT
ejpam-6711	404	1	a	a	DET
ejpam-6711	404	2	fractal	fractal	ADJ
ejpam-6711	404	3	-	-	PUNCT
ejpam-6711	404	4	fractional	fractional	ADJ
ejpam-6711	404	5	order	order	NOUN
ejpam-6711	404	6	model	model	NOUN
ejpam-6711	404	7	to	to	PART
ejpam-6711	404	8	study	study	VERB
ejpam-6711	404	9	multiple	multiple	ADJ
ejpam-6711	404	10	sclerosis	sclerosis	NOUN
ejpam-6711	404	11	:	:	PUNCT
ejpam-6711	404	12	a	a	DET
ejpam-6711	404	13	chronic	chronic	ADJ
ejpam-6711	404	14	disease	disease	NOUN
ejpam-6711	404	15	.	.	PUNCT
ejpam-6711	405	1	fractals	fractal	NOUN
ejpam-6711	405	2	,	,	PUNCT
ejpam-6711	405	3	32(02):2440010	32(02):2440010	NUM
ejpam-6711	405	4	,	,	PUNCT
ejpam-6711	405	5	2024	2024	NUM
ejpam-6711	405	6	.	.	PUNCT
ejpam-6711	406	1	[	[	X
ejpam-6711	406	2	12	12	NUM
ejpam-6711	406	3	]	]	PUNCT
ejpam-6711	406	4	em	em	PRON
ejpam-6711	406	5	moumine	moumine	VERB
ejpam-6711	406	6	,	,	PUNCT
ejpam-6711	406	7	o	o	NOUN
ejpam-6711	406	8	balatif	balatif	NOUN
ejpam-6711	406	9	,	,	PUNCT
ejpam-6711	406	10	and	and	CCONJ
ejpam-6711	406	11	m	m	PROPN
ejpam-6711	406	12	rachik	rachik	NOUN
ejpam-6711	406	13	.	.	PUNCT
ejpam-6711	407	1	modeling	modeling	NOUN
ejpam-6711	407	2	and	and	CCONJ
ejpam-6711	407	3	mathematical	mathematical	ADJ
ejpam-6711	407	4	analysis	analysis	NOUN
ejpam-6711	407	5	of	of	ADP
ejpam-6711	407	6	drug	drug	NOUN
ejpam-6711	407	7	addiction	addiction	NOUN
ejpam-6711	407	8	with	with	ADP
ejpam-6711	407	9	the	the	DET
ejpam-6711	407	10	study	study	NOUN
ejpam-6711	407	11	of	of	ADP
ejpam-6711	407	12	the	the	DET
ejpam-6711	407	13	effect	effect	NOUN
ejpam-6711	407	14	of	of	ADP
ejpam-6711	407	15	psychological	psychological	ADJ
ejpam-6711	407	16	and	and	CCONJ
ejpam-6711	407	17	biological	biological	ADJ
ejpam-6711	407	18	treatment	treatment	NOUN
ejpam-6711	407	19	.	.	PUNCT
ejpam-6711	408	1	mathematical	mathematical	ADJ
ejpam-6711	408	2	modeling	modeling	NOUN
ejpam-6711	408	3	and	and	CCONJ
ejpam-6711	408	4	computing	computing	NOUN
ejpam-6711	408	5	,	,	PUNCT
ejpam-6711	408	6	10(3):935–943	10(3):935–943	NUM
ejpam-6711	408	7	,	,	PUNCT
ejpam-6711	408	8	2023	2023	NUM
ejpam-6711	408	9	.	.	PUNCT
ejpam-6711	409	1	[	[	X
ejpam-6711	409	2	13	13	NUM
ejpam-6711	409	3	]	]	X
ejpam-6711	409	4	cristina	cristina	PROPN
ejpam-6711	409	5	de	de	PROPN
ejpam-6711	409	6	angelis	angelis	PROPN
ejpam-6711	409	7	,	,	PUNCT
ejpam-6711	409	8	antonio	antonio	PROPN
ejpam-6711	409	9	nardone	nardone	PROPN
ejpam-6711	409	10	,	,	PUNCT
ejpam-6711	409	11	francesco	francesco	PROPN
ejpam-6711	409	12	garifalos	garifalos	PROPN
ejpam-6711	409	13	,	,	PUNCT
ejpam-6711	409	14	claudia	claudia	PROPN
ejpam-6711	409	15	pivonello	pivonello	PROPN
ejpam-6711	409	16	,	,	PUNCT
ejpam-6711	409	17	andrea	andrea	PROPN
ejpam-6711	409	18	sansone	sansone	PROPN
ejpam-6711	409	19	,	,	PUNCT
ejpam-6711	409	20	alessandro	alessandro	PROPN
ejpam-6711	409	21	conforti	conforti	PROPN
ejpam-6711	409	22	,	,	PUNCT
ejpam-6711	409	23	carla	carla	PROPN
ejpam-6711	409	24	di	di	PROPN
ejpam-6711	409	25	dato	dato	PROPN
ejpam-6711	409	26	,	,	PUNCT
ejpam-6711	409	27	felice	felice	NOUN
ejpam-6711	409	28	sirico	sirico	NOUN
ejpam-6711	409	29	,	,	PUNCT
ejpam-6711	409	30	carlo	carlo	PROPN
ejpam-6711	409	31	alviggi	alviggi	PROPN
ejpam-6711	409	32	,	,	PUNCT
ejpam-6711	409	33	andrea	andrea	PROPN
ejpam-6711	409	34	isidori	isidori	X
ejpam-6711	409	35	,	,	PUNCT
ejpam-6711	409	36	et	et	PROPN
ejpam-6711	409	37	al	al	PROPN
ejpam-6711	409	38	.	.	PROPN
ejpam-6711	409	39	smoke	smoke	PROPN
ejpam-6711	409	40	,	,	PUNCT
ejpam-6711	409	41	alcohol	alcohol	NOUN
ejpam-6711	409	42	and	and	CCONJ
ejpam-6711	409	43	drug	drug	NOUN
ejpam-6711	409	44	addiction	addiction	NOUN
ejpam-6711	409	45	and	and	CCONJ
ejpam-6711	409	46	female	female	ADJ
ejpam-6711	409	47	fertility	fertility	NOUN
ejpam-6711	409	48	.	.	PUNCT
ejpam-6711	410	1	reproductive	reproductive	ADJ
ejpam-6711	410	2	biology	biology	NOUN
ejpam-6711	410	3	and	and	CCONJ
ejpam-6711	410	4	endocrinology	endocrinology	NOUN
ejpam-6711	410	5	,	,	PUNCT
ejpam-6711	410	6	18(1):21	18(1):21	NUM
ejpam-6711	410	7	,	,	PUNCT
ejpam-6711	410	8	2020	2020	NUM
ejpam-6711	410	9	.	.	PUNCT
ejpam-6711	411	1	[	[	X
ejpam-6711	411	2	14	14	NUM
ejpam-6711	411	3	]	]	X
ejpam-6711	411	4	y	y	PROPN
ejpam-6711	411	5	vandaele	vandaele	PROPN
ejpam-6711	411	6	and	and	CCONJ
ejpam-6711	411	7	sh	sh	PROPN
ejpam-6711	411	8	ahmed	ahmed	PROPN
ejpam-6711	411	9	.	.	PUNCT
ejpam-6711	412	1	habit	habit	PROPN
ejpam-6711	412	2	,	,	PUNCT
ejpam-6711	412	3	choice	choice	NOUN
ejpam-6711	412	4	,	,	PUNCT
ejpam-6711	412	5	and	and	CCONJ
ejpam-6711	412	6	addiction	addiction	NOUN
ejpam-6711	412	7	.	.	PUNCT
ejpam-6711	413	1	neuropsychopharmacology	neuropsychopharmacology	NOUN
ejpam-6711	413	2	,	,	PUNCT
ejpam-6711	413	3	46(4):689–698	46(4):689–698	PROPN
ejpam-6711	413	4	,	,	PUNCT
ejpam-6711	413	5	2021	2021	NUM
ejpam-6711	413	6	.	.	PUNCT
ejpam-6711	414	1	[	[	X
ejpam-6711	414	2	15	15	NUM
ejpam-6711	414	3	]	]	X
ejpam-6711	414	4	ahmet	ahmet	PROPN
ejpam-6711	414	5	o	o	PROPN
ejpam-6711	414	6	ceceli	ceceli	PROPN
ejpam-6711	414	7	,	,	PUNCT
ejpam-6711	414	8	charles	charles	PROPN
ejpam-6711	414	9	w	w	PROPN
ejpam-6711	414	10	bradberry	bradberry	PROPN
ejpam-6711	414	11	,	,	PUNCT
ejpam-6711	414	12	and	and	CCONJ
ejpam-6711	414	13	rita	rita	PROPN
ejpam-6711	414	14	z	z	PROPN
ejpam-6711	414	15	goldstein	goldstein	PROPN
ejpam-6711	414	16	.	.	PUNCT
ejpam-6711	415	1	the	the	DET
ejpam-6711	415	2	neurobiology	neurobiology	NOUN
ejpam-6711	415	3	of	of	ADP
ejpam-6711	415	4	drug	drug	NOUN
ejpam-6711	415	5	addiction	addiction	NOUN
ejpam-6711	415	6	:	:	PUNCT
ejpam-6711	415	7	cross	cross	ADJ
ejpam-6711	415	8	-	-	ADJ
ejpam-6711	415	9	species	species	ADJ
ejpam-6711	415	10	insights	insight	NOUN
ejpam-6711	415	11	into	into	ADP
ejpam-6711	415	12	the	the	DET
ejpam-6711	415	13	dysfunction	dysfunction	NOUN
ejpam-6711	415	14	and	and	CCONJ
ejpam-6711	415	15	recovery	recovery	NOUN
ejpam-6711	415	16	of	of	ADP
ejpam-6711	415	17	the	the	DET
ejpam-6711	415	18	prefrontal	prefrontal	ADJ
ejpam-6711	415	19	cortex	cortex	NOUN
ejpam-6711	415	20	.	.	PUNCT
ejpam-6711	416	1	neuropsychopharmacology	neuropsychopharmacology	PROPN
ejpam-6711	416	2	,	,	PUNCT
ejpam-6711	416	3	47(1):276–291	47(1):276–291	PROPN
ejpam-6711	416	4	,	,	PUNCT
ejpam-6711	416	5	2022	2022	NUM
ejpam-6711	416	6	.	.	PUNCT
ejpam-6711	417	1	[	[	X
ejpam-6711	417	2	16	16	NUM
ejpam-6711	417	3	]	]	X
ejpam-6711	417	4	syeda	syeda	PROPN
ejpam-6711	417	5	alishwa	alishwa	PROPN
ejpam-6711	417	6	zanib	zanib	NOUN
ejpam-6711	417	7	,	,	PUNCT
ejpam-6711	417	8	sehrish	sehrish	PROPN
ejpam-6711	417	9	ramzan	ramzan	PROPN
ejpam-6711	417	10	,	,	PUNCT
ejpam-6711	417	11	nadeem	nadeem	PROPN
ejpam-6711	417	12	abbas	abbas	PROPN
ejpam-6711	417	13	,	,	PUNCT
ejpam-6711	417	14	aqsa	aqsa	PROPN
ejpam-6711	417	15	nazir	nazir	PROPN
ejpam-6711	417	16	,	,	PUNCT
ejpam-6711	417	17	and	and	CCONJ
ejpam-6711	417	18	wasfi	wasfi	ADV
ejpam-6711	417	19	shatanawi	shatanawi	ADJ
ejpam-6711	417	20	.	.	PUNCT
ejpam-6711	418	1	a	a	DET
ejpam-6711	418	2	mathematical	mathematical	ADJ
ejpam-6711	418	3	approach	approach	NOUN
ejpam-6711	418	4	of	of	ADP
ejpam-6711	418	5	drug	drug	NOUN
ejpam-6711	418	6	addiction	addiction	NOUN
ejpam-6711	418	7	and	and	CCONJ
ejpam-6711	418	8	rehabilitation	rehabilitation	NOUN
ejpam-6711	418	9	control	control	NOUN
ejpam-6711	418	10	dynamic	dynamic	ADJ
ejpam-6711	418	11	.	.	PUNCT
ejpam-6711	419	1	modeling	model	VERB
ejpam-6711	419	2	earth	earth	NOUN
ejpam-6711	419	3	systems	system	NOUN
ejpam-6711	419	4	and	and	CCONJ
ejpam-6711	419	5	environment	environment	NOUN
ejpam-6711	419	6	,	,	PUNCT
ejpam-6711	419	7	10(2):2995–3002	10(2):2995–3002	NUM
ejpam-6711	419	8	,	,	PUNCT
ejpam-6711	419	9	2024	2024	NUM
ejpam-6711	419	10	.	.	PUNCT
ejpam-6711	420	1	[	[	X
ejpam-6711	420	2	17	17	NUM
ejpam-6711	420	3	]	]	X
ejpam-6711	420	4	adela	adela	PROPN
ejpam-6711	420	5	bunaciu	bunaciu	PROPN
ejpam-6711	420	6	,	,	PUNCT
ejpam-6711	420	7	ana	ana	PROPN
ejpam-6711	420	8	-	-	PUNCT
ejpam-6711	420	9	maria	maria	PROPN
ejpam-6711	420	10	bliuc	bliuc	NOUN
ejpam-6711	420	11	,	,	PUNCT
ejpam-6711	420	12	david	david	PROPN
ejpam-6711	420	13	best	good	ADJ
ejpam-6711	420	14	,	,	PUNCT
ejpam-6711	420	15	emily	emily	PROPN
ejpam-6711	420	16	a	a	DET
ejpam-6711	420	17	hennessy	hennessy	PROPN
ejpam-6711	420	18	,	,	PUNCT
ejpam-6711	420	19	matthew	matthew	PROPN
ejpam-6711	420	20	j	j	PROPN
ejpam-6711	420	21	belanger	belanger	PROPN
ejpam-6711	420	22	,	,	PUNCT
ejpam-6711	420	23	and	and	CCONJ
ejpam-6711	420	24	christopher	christopher	PROPN
ejpam-6711	420	25	sy	sy	PROPN
ejpam-6711	420	26	benwell	benwell	PROPN
ejpam-6711	420	27	.	.	PUNCT
ejpam-6711	421	1	measuring	measure	VERB
ejpam-6711	421	2	recovery	recovery	NOUN
ejpam-6711	421	3	capital	capital	NOUN
ejpam-6711	421	4	for	for	ADP
ejpam-6711	421	5	people	people	NOUN
ejpam-6711	421	6	recovering	recover	VERB
ejpam-6711	421	7	from	from	ADP
ejpam-6711	421	8	alcohol	alcohol	NOUN
ejpam-6711	421	9	and	and	CCONJ
ejpam-6711	421	10	drug	drug	NOUN
ejpam-6711	421	11	addiction	addiction	NOUN
ejpam-6711	421	12	:	:	PUNCT
ejpam-6711	421	13	a	a	DET
ejpam-6711	421	14	systematic	systematic	ADJ
ejpam-6711	421	15	review	review	NOUN
ejpam-6711	421	16	.	.	PUNCT
ejpam-6711	422	1	addiction	addiction	NOUN
ejpam-6711	422	2	research	research	PROPN
ejpam-6711	422	3	&	&	CCONJ
ejpam-6711	422	4	theory	theory	NOUN
ejpam-6711	422	5	,	,	PUNCT
ejpam-6711	422	6	32(3):225–236	32(3):225–236	NUM
ejpam-6711	422	7	,	,	PUNCT
ejpam-6711	422	8	2024	2024	NUM
ejpam-6711	422	9	.	.	PUNCT
ejpam-6711	423	1	[	[	X
ejpam-6711	423	2	18	18	NUM
ejpam-6711	423	3	]	]	X
ejpam-6711	423	4	dejen	dejen	NOUN
ejpam-6711	423	5	ketema	ketema	PROPN
ejpam-6711	423	6	mamo	mamo	PROPN
ejpam-6711	423	7	,	,	PUNCT
ejpam-6711	423	8	mathew	mathew	PROPN
ejpam-6711	423	9	ngugi	ngugi	PROPN
ejpam-6711	423	10	kinyanjui	kinyanjui	PROPN
ejpam-6711	423	11	,	,	PUNCT
ejpam-6711	423	12	shewafera	shewafera	NOUN
ejpam-6711	423	13	wondimagegnhu	wondimagegnhu	NOUN
ejpam-6711	423	14	teklu	teklu	ADJ
ejpam-6711	423	15	,	,	PUNCT
ejpam-6711	423	16	and	and	CCONJ
ejpam-6711	423	17	gizachew	gizachew	PROPN
ejpam-6711	423	18	kefelew	kefelew	PROPN
ejpam-6711	423	19	hailu	hailu	NOUN
ejpam-6711	423	20	.	.	PUNCT
ejpam-6711	424	1	mathematical	mathematical	ADJ
ejpam-6711	424	2	modeling	modeling	NOUN
ejpam-6711	424	3	and	and	CCONJ
ejpam-6711	424	4	analysis	analysis	NOUN
ejpam-6711	424	5	of	of	ADP
ejpam-6711	424	6	the	the	DET
ejpam-6711	424	7	co	co	NOUN
ejpam-6711	424	8	-	-	NOUN
ejpam-6711	424	9	dynamics	dynamic	NOUN
ejpam-6711	424	10	of	of	ADP
ejpam-6711	424	11	crime	crime	NOUN
ejpam-6711	424	12	and	and	CCONJ
ejpam-6711	424	13	drug	drug	NOUN
ejpam-6711	424	14	abuse	abuse	NOUN
ejpam-6711	424	15	.	.	PUNCT
ejpam-6711	425	1	scientific	scientific	ADJ
ejpam-6711	425	2	reports	report	NOUN
ejpam-6711	425	3	,	,	PUNCT
ejpam-6711	425	4	14(1):26461	14(1):26461	NUM
ejpam-6711	425	5	,	,	PUNCT
ejpam-6711	425	6	2024	2024	NUM
ejpam-6711	425	7	.	.	PUNCT
ejpam-6711	426	1	[	[	X
ejpam-6711	426	2	19	19	NUM
ejpam-6711	426	3	]	]	X
ejpam-6711	426	4	francis	francis	PROPN
ejpam-6711	426	5	musili	musili	PROPN
ejpam-6711	426	6	muli	muli	PROPN
ejpam-6711	426	7	.	.	PUNCT
ejpam-6711	427	1	mathematical	mathematical	ADJ
ejpam-6711	427	2	analysis	analysis	NOUN
ejpam-6711	427	3	of	of	ADP
ejpam-6711	427	4	drug	drug	NOUN
ejpam-6711	427	5	and	and	CCONJ
ejpam-6711	427	6	substance	substance	NOUN
ejpam-6711	427	7	abuse	abuse	NOUN
ejpam-6711	427	8	model	model	NOUN
ejpam-6711	427	9	with	with	ADP
ejpam-6711	427	10	treatment	treatment	NOUN
ejpam-6711	427	11	and	and	CCONJ
ejpam-6711	427	12	policing	policing	NOUN
ejpam-6711	427	13	.	.	PUNCT
ejpam-6711	428	1	journal	journal	PROPN
ejpam-6711	428	2	of	of	ADP
ejpam-6711	428	3	applied	apply	VERB
ejpam-6711	428	4	mathematics	mathematic	NOUN
ejpam-6711	428	5	,	,	PUNCT
ejpam-6711	428	6	2025(1):6666148	2025(1):6666148	NUM
ejpam-6711	428	7	,	,	PUNCT
ejpam-6711	428	8	2025	2025	NUM
ejpam-6711	428	9	.	.	PUNCT
ejpam-6711	429	1	[	[	X
ejpam-6711	429	2	20	20	NUM
ejpam-6711	429	3	]	]	X
ejpam-6711	429	4	abdulaziz	abdulaziz	PROPN
ejpam-6711	429	5	h	h	PROPN
ejpam-6711	429	6	alharbi	alharbi	PROPN
ejpam-6711	429	7	,	,	PUNCT
ejpam-6711	429	8	msj	msj	PROPN
ejpam-6711	429	9	alzahrani	alzahrani	PROPN
ejpam-6711	429	10	,	,	PUNCT
ejpam-6711	429	11	fadhel	fadhel	PROPN
ejpam-6711	429	12	jday	jday	NOUN
ejpam-6711	429	13	,	,	PUNCT
ejpam-6711	429	14	and	and	CCONJ
ejpam-6711	429	15	aref	aref	PROPN
ejpam-6711	429	16	alsehaimi	alsehaimi	PROPN
ejpam-6711	429	17	.	.	PUNCT
ejpam-6711	430	1	mathematical	mathematical	ADJ
ejpam-6711	430	2	analysis	analysis	NOUN
ejpam-6711	430	3	for	for	ADP
ejpam-6711	430	4	a	a	DET
ejpam-6711	430	5	dynamic	dynamic	ADJ
ejpam-6711	430	6	model	model	NOUN
ejpam-6711	430	7	of	of	ADP
ejpam-6711	430	8	illicit	illicit	ADJ
ejpam-6711	430	9	drug	drug	NOUN
ejpam-6711	430	10	consumption	consumption	NOUN
ejpam-6711	430	11	.	.	PUNCT
ejpam-6711	431	1	aims	aim	VERB
ejpam-6711	431	2	mathematics	mathematic	NOUN
ejpam-6711	431	3	,	,	PUNCT
ejpam-6711	431	4	10(6):14784–14803	10(6):14784–14803	NUM
ejpam-6711	431	5	,	,	PUNCT
ejpam-6711	431	6	2025	2025	NUM
ejpam-6711	431	7	.	.	PUNCT
ejpam-6711	432	1	[	[	X
ejpam-6711	432	2	21	21	NUM
ejpam-6711	432	3	]	]	X
ejpam-6711	432	4	sunny	sunny	ADJ
ejpam-6711	432	5	jung	jung	PROPN
ejpam-6711	432	6	kim	kim	PROPN
ejpam-6711	432	7	,	,	PUNCT
ejpam-6711	432	8	viktor	viktor	NOUN
ejpam-6711	432	9	clark	clark	PROPN
ejpam-6711	432	10	,	,	PUNCT
ejpam-6711	432	11	jeff	jeff	PROPN
ejpam-6711	432	12	t	t	PROPN
ejpam-6711	432	13	hancock	hancock	PROPN
ejpam-6711	432	14	,	,	PUNCT
ejpam-6711	432	15	reza	reza	PROPN
ejpam-6711	432	16	rawassizadeh	rawassizadeh	PROPN
ejpam-6711	432	17	,	,	PUNCT
ejpam-6711	432	18	hongfang	hongfang	PROPN
ejpam-6711	432	19	liu	liu	PROPN
ejpam-6711	432	20	,	,	PUNCT
ejpam-6711	432	21	emmanuel	emmanuel	PROPN
ejpam-6711	432	22	a	a	DET
ejpam-6711	432	23	taylor	taylor	PROPN
ejpam-6711	432	24	,	,	PUNCT
ejpam-6711	432	25	and	and	CCONJ
ejpam-6711	432	26	vanessa	vanessa	PROPN
ejpam-6711	432	27	b	b	PROPN
ejpam-6711	432	28	sheppard	sheppard	NOUN
ejpam-6711	432	29	.	.	PUNCT
ejpam-6711	433	1	leveraging	leverage	VERB
ejpam-6711	433	2	artificial	artificial	ADJ
ejpam-6711	433	3	intelligencemediated	intelligencemediated	ADJ
ejpam-6711	433	4	communication	communication	NOUN
ejpam-6711	433	5	for	for	ADP
ejpam-6711	433	6	cancer	cancer	NOUN
ejpam-6711	433	7	prevention	prevention	NOUN
ejpam-6711	433	8	and	and	CCONJ
ejpam-6711	433	9	control	control	NOUN
ejpam-6711	433	10	and	and	CCONJ
ejpam-6711	433	11	drug	drug	NOUN
ejpam-6711	433	12	addiction	addiction	NOUN
ejpam-6711	433	13	:	:	PUNCT
ejpam-6711	433	14	a	a	DET
ejpam-6711	433	15	systematic	systematic	ADJ
ejpam-6711	433	16	review	review	NOUN
ejpam-6711	433	17	.	.	PUNCT
ejpam-6711	434	1	translational	translational	ADJ
ejpam-6711	434	2	behavioral	behavioral	ADJ
ejpam-6711	434	3	medicine	medicine	NOUN
ejpam-6711	434	4	,	,	PUNCT
ejpam-6711	434	5	15(1):ibaf007	15(1):ibaf007	NUM
ejpam-6711	434	6	,	,	PUNCT
ejpam-6711	434	7	2025	2025	NUM
ejpam-6711	434	8	.	.	PUNCT
ejpam-6711	435	1	[	[	X
ejpam-6711	435	2	22	22	NUM
ejpam-6711	435	3	]	]	X
ejpam-6711	435	4	richard	richard	PROPN
ejpam-6711	435	5	rosse	rosse	PROPN
ejpam-6711	435	6	,	,	PUNCT
ejpam-6711	435	7	stephen	stephen	PROPN
ejpam-6711	435	8	deutsch	deutsch	PROPN
ejpam-6711	435	9	,	,	PUNCT
ejpam-6711	435	10	and	and	CCONJ
ejpam-6711	435	11	melissa	melissa	PROPN
ejpam-6711	435	12	chilton	chilton	PROPN
ejpam-6711	435	13	.	.	PUNCT
ejpam-6711	436	1	cocaine	cocaine	NOUN
ejpam-6711	436	2	addicts	addict	NOUN
ejpam-6711	436	3	prone	prone	ADJ
ejpam-6711	436	4	to	to	ADP
ejpam-6711	436	5	cocaine	cocaine	NOUN
ejpam-6711	436	6	-	-	PUNCT
ejpam-6711	436	7	induced	induce	VERB
ejpam-6711	436	8	psychosis	psychosis	NOUN
ejpam-6711	436	9	have	have	VERB
ejpam-6711	436	10	lower	low	ADJ
ejpam-6711	436	11	body	body	NOUN
ejpam-6711	436	12	mass	mass	NOUN
ejpam-6711	436	13	index	index	NOUN
ejpam-6711	436	14	than	than	ADP
ejpam-6711	436	15	cocaine	cocaine	NOUN
ejpam-6711	436	16	addicts	addict	NOUN
ejpam-6711	436	17	resistant	resistant	ADJ
ejpam-6711	436	18	to	to	ADP
ejpam-6711	436	19	cocaine	cocaine	NOUN
ejpam-6711	436	20	-	-	PUNCT
ejpam-6711	436	21	induced	induce	VERB
ejpam-6711	436	22	psychosis	psychosis	NOUN
ejpam-6711	436	23	-	-	PUNCT
ejpam-6711	436	24	implications	implication	NOUN
ejpam-6711	436	25	for	for	ADP
ejpam-6711	436	26	the	the	DET
ejpam-6711	436	27	cocaine	cocaine	NOUN
ejpam-6711	436	28	model	model	NOUN
ejpam-6711	436	29	of	of	ADP
ejpam-6711	436	30	psychosis	psychosis	NOUN
ejpam-6711	436	31	proneness	proneness	NOUN
ejpam-6711	436	32	.	.	PUNCT
ejpam-6711	437	1	israel	israel	PROPN
ejpam-6711	437	2	journal	journal	PROPN
ejpam-6711	437	3	of	of	ADP
ejpam-6711	437	4	psychiatry	psychiatry	NOUN
ejpam-6711	437	5	and	and	CCONJ
ejpam-6711	437	6	related	relate	VERB
ejpam-6711	437	7	sciences	science	NOUN
ejpam-6711	437	8	,	,	PUNCT
ejpam-6711	437	9	42(1):45	42(1):45	NOUN
ejpam-6711	437	10	,	,	PUNCT
ejpam-6711	437	11	2005	2005	NUM
ejpam-6711	437	12	.	.	PUNCT
ejpam-6711	438	1	[	[	X
ejpam-6711	438	2	23	23	NUM
ejpam-6711	438	3	]	]	X
ejpam-6711	438	4	diana	diana	PROPN
ejpam-6711	438	5	sketriene	sketriene	PROPN
ejpam-6711	438	6	,	,	PUNCT
ejpam-6711	438	7	damien	damien	PROPN
ejpam-6711	438	8	battista	battista	PROPN
ejpam-6711	438	9	,	,	PUNCT
ejpam-6711	438	10	laddawan	laddawan	ADJ
ejpam-6711	438	11	lalert	lalert	NOUN
ejpam-6711	438	12	,	,	PUNCT
ejpam-6711	438	13	natcharee	natcharee	NOUN
ejpam-6711	438	14	kraiwattanapirom	kraiwattanapirom	PROPN
ejpam-6711	438	15	,	,	PUNCT
ejpam-6711	438	16	han	han	PROPN
ejpam-6711	438	17	ngoc	ngoc	PROPN
ejpam-6711	438	18	thai	thai	PROPN
ejpam-6711	438	19	,	,	PUNCT
ejpam-6711	438	20	tanawan	tanawan	NOUN
ejpam-6711	438	21	leeboonngam	leeboonngam	NOUN
ejpam-6711	438	22	,	,	PUNCT
ejpam-6711	438	23	lori	lori	PROPN
ejpam-6711	438	24	a	a	DET
ejpam-6711	438	25	knackstedt	knackstedt	PROPN
ejpam-6711	438	26	,	,	PUNCT
ejpam-6711	438	27	jess	jess	PROPN
ejpam-6711	438	28	nithianantharajah	nithianantharajah	PROPN
ejpam-6711	438	29	,	,	PUNCT
ejpam-6711	438	30	priya	priya	PROPN
ejpam-6711	438	31	sumithran	sumithran	PROPN
ejpam-6711	438	32	,	,	PUNCT
ejpam-6711	438	33	andrew	andrew	PROPN
ejpam-6711	438	34	j	j	PROPN
ejpam-6711	438	35	lawrence	lawrence	PROPN
ejpam-6711	438	36	,	,	PUNCT
ejpam-6711	438	37	et	et	PROPN
ejpam-6711	438	38	al	al	PROPN
ejpam-6711	438	39	.	.	PUNCT
ejpam-6711	439	1	compulsive	compulsive	ADJ
ejpam-6711	439	2	-	-	PUNCT
ejpam-6711	439	3	like	like	ADJ
ejpam-6711	439	4	eating	eating	NOUN
ejpam-6711	439	5	of	of	ADP
ejpam-6711	439	6	high	high	ADJ
ejpam-6711	439	7	-	-	PUNCT
ejpam-6711	439	8	fat	fat	NOUN
ejpam-6711	439	9	l.	l.	PROPN
ejpam-6711	439	10	yaseen	yaseen	PROPN
ejpam-6711	439	11	et	et	PROPN
ejpam-6711	439	12	al	al	PROPN
ejpam-6711	439	13	.	.	PUNCT
ejpam-6711	439	14	/	/	SYM
ejpam-6711	439	15	eur	eur	PROPN
ejpam-6711	439	16	.	.	PUNCT
ejpam-6711	440	1	j.	j.	PROPN
ejpam-6711	440	2	pure	pure	PROPN
ejpam-6711	440	3	appl	appl	PROPN
ejpam-6711	440	4	.	.	PROPN
ejpam-6711	440	5	math	math	PROPN
ejpam-6711	440	6	,	,	PUNCT
ejpam-6711	440	7	18	18	NUM
ejpam-6711	440	8	(	(	PUNCT
ejpam-6711	440	9	4	4	NUM
ejpam-6711	440	10	)	)	PUNCT
ejpam-6711	440	11	(	(	PUNCT
ejpam-6711	440	12	2025	2025	NUM
ejpam-6711	440	13	)	)	PUNCT
ejpam-6711	440	14	,	,	PUNCT
ejpam-6711	440	15	6711	6711	NUM
ejpam-6711	440	16	29	29	NUM
ejpam-6711	440	17	of	of	ADP
ejpam-6711	440	18	29	29	NUM
ejpam-6711	440	19	high	high	ADJ
ejpam-6711	440	20	-	-	PUNCT
ejpam-6711	440	21	sugar	sugar	NOUN
ejpam-6711	440	22	food	food	NOUN
ejpam-6711	440	23	is	be	AUX
ejpam-6711	440	24	associated	associate	VERB
ejpam-6711	440	25	with	with	ADP
ejpam-6711	440	26	‘	'	PUNCT
ejpam-6711	440	27	addiction	addiction	NOUN
ejpam-6711	440	28	-	-	PUNCT
ejpam-6711	440	29	like’glutamatergic	like’glutamatergic	ADJ
ejpam-6711	440	30	dysfunction	dysfunction	NOUN
ejpam-6711	440	31	in	in	ADP
ejpam-6711	440	32	obesity	obesity	NOUN
ejpam-6711	440	33	prone	prone	ADJ
ejpam-6711	440	34	rats	rat	NOUN
ejpam-6711	440	35	.	.	PUNCT
ejpam-6711	441	1	addiction	addiction	NOUN
ejpam-6711	441	2	biology	biology	NOUN
ejpam-6711	441	3	,	,	PUNCT
ejpam-6711	441	4	27(5):e13206	27(5):e13206	NUM
ejpam-6711	441	5	,	,	PUNCT
ejpam-6711	441	6	2022	2022	NUM
ejpam-6711	441	7	.	.	PUNCT
ejpam-6711	442	1	[	[	X
ejpam-6711	442	2	24	24	NUM
ejpam-6711	442	3	]	]	PUNCT
ejpam-6711	442	4	anna	anna	PROPN
ejpam-6711	442	5	l	l	PROPN
ejpam-6711	442	6	horton	horton	PROPN
ejpam-6711	442	7	,	,	PUNCT
ejpam-6711	442	8	erin	erin	PROPN
ejpam-6711	442	9	j	j	PROPN
ejpam-6711	442	10	campbell	campbell	PROPN
ejpam-6711	442	11	,	,	PUNCT
ejpam-6711	442	12	timothy	timothy	PROPN
ejpam-6711	442	13	d	d	PROPN
ejpam-6711	442	14	aumann	aumann	PROPN
ejpam-6711	442	15	,	,	PUNCT
ejpam-6711	442	16	katrina	katrina	PROPN
ejpam-6711	442	17	r	r	PROPN
ejpam-6711	442	18	o’brien	o’brien	PROPN
ejpam-6711	442	19	,	,	PUNCT
ejpam-6711	442	20	andrew	andrew	PROPN
ejpam-6711	442	21	j	j	PROPN
ejpam-6711	442	22	lawrence	lawrence	PROPN
ejpam-6711	442	23	,	,	PUNCT
ejpam-6711	442	24	and	and	CCONJ
ejpam-6711	442	25	robyn	robyn	PROPN
ejpam-6711	442	26	m	m	PROPN
ejpam-6711	442	27	brown	brown	PROPN
ejpam-6711	442	28	.	.	PUNCT
ejpam-6711	443	1	addiction	addiction	NOUN
ejpam-6711	443	2	-	-	PUNCT
ejpam-6711	443	3	like	like	ADJ
ejpam-6711	443	4	behaviour	behaviour	NOUN
ejpam-6711	443	5	towards	towards	ADP
ejpam-6711	443	6	high	high	ADJ
ejpam-6711	443	7	-	-	PUNCT
ejpam-6711	443	8	fat	fat	NOUN
ejpam-6711	443	9	high	high	ADJ
ejpam-6711	443	10	-	-	PUNCT
ejpam-6711	443	11	sugar	sugar	NOUN
ejpam-6711	443	12	food	food	NOUN
ejpam-6711	443	13	predicts	predict	NOUN
ejpam-6711	443	14	relapse	relapse	VERB
ejpam-6711	443	15	propensity	propensity	NOUN
ejpam-6711	443	16	in	in	ADP
ejpam-6711	443	17	both	both	DET
ejpam-6711	443	18	obesity	obesity	NOUN
ejpam-6711	443	19	prone	prone	ADJ
ejpam-6711	443	20	and	and	CCONJ
ejpam-6711	443	21	obesity	obesity	NOUN
ejpam-6711	443	22	resistant	resistant	ADJ
ejpam-6711	443	23	c57bl/6	c57bl/6	NOUN
ejpam-6711	443	24	j	j	PROPN
ejpam-6711	443	25	mice	mouse	NOUN
ejpam-6711	443	26	.	.	PUNCT
ejpam-6711	444	1	progress	progress	NOUN
ejpam-6711	444	2	in	in	ADP
ejpam-6711	444	3	neuro	neuro	NOUN
ejpam-6711	444	4	-	-	PUNCT
ejpam-6711	444	5	psychopharmacology	psychopharmacology	NOUN
ejpam-6711	444	6	and	and	CCONJ
ejpam-6711	444	7	biological	biological	ADJ
ejpam-6711	444	8	psychiatry	psychiatry	NOUN
ejpam-6711	444	9	,	,	PUNCT
ejpam-6711	444	10	121:110654	121:110654	NUM
ejpam-6711	444	11	,	,	PUNCT
ejpam-6711	444	12	2023	2023	NUM
ejpam-6711	444	13	.	.	PUNCT
ejpam-6711	445	1	[	[	X
ejpam-6711	445	2	25	25	NUM
ejpam-6711	445	3	]	]	X
ejpam-6711	445	4	kamal	kamal	PROPN
ejpam-6711	445	5	shah	shah	PROPN
ejpam-6711	445	6	,	,	PUNCT
ejpam-6711	445	7	hafsa	hafsa	PROPN
ejpam-6711	445	8	naz	naz	PROPN
ejpam-6711	445	9	,	,	PUNCT
ejpam-6711	445	10	thabet	thabet	ADJ
ejpam-6711	445	11	abdeljawad	abdeljawad	NOUN
ejpam-6711	445	12	,	,	PUNCT
ejpam-6711	445	13	and	and	CCONJ
ejpam-6711	445	14	bahaaeldin	bahaaeldin	VERB
ejpam-6711	445	15	abdalla	abdalla	PROPN
ejpam-6711	445	16	.	.	PUNCT
ejpam-6711	446	1	study	study	NOUN
ejpam-6711	446	2	of	of	ADP
ejpam-6711	446	3	fractional	fractional	ADJ
ejpam-6711	446	4	order	order	NOUN
ejpam-6711	446	5	dynamical	dynamical	ADJ
ejpam-6711	446	6	system	system	NOUN
ejpam-6711	446	7	of	of	ADP
ejpam-6711	446	8	viral	viral	ADJ
ejpam-6711	446	9	infection	infection	NOUN
ejpam-6711	446	10	disease	disease	NOUN
ejpam-6711	446	11	under	under	ADP
ejpam-6711	446	12	piecewise	piecewise	NOUN
ejpam-6711	446	13	derivative	derivative	NOUN
ejpam-6711	446	14	.	.	PUNCT
ejpam-6711	447	1	cmes	cmes	PROPN
ejpam-6711	447	2	-	-	PUNCT
ejpam-6711	447	3	computer	computer	NOUN
ejpam-6711	447	4	modeling	modeling	NOUN
ejpam-6711	447	5	in	in	ADP
ejpam-6711	447	6	engineering	engineering	NOUN
ejpam-6711	447	7	&	&	CCONJ
ejpam-6711	447	8	sciences	sciences	PROPN
ejpam-6711	447	9	,	,	PUNCT
ejpam-6711	447	10	136(1	136(1	NUM
ejpam-6711	447	11	)	)	PUNCT
ejpam-6711	447	12	,	,	PUNCT
ejpam-6711	447	13	2023	2023	NUM
ejpam-6711	447	14	.	.	PUNCT
ejpam-6711	448	1	[	[	X
ejpam-6711	448	2	26	26	NUM
ejpam-6711	448	3	]	]	X
ejpam-6711	448	4	pauline	pauline	PROPN
ejpam-6711	448	5	van	van	PROPN
ejpam-6711	448	6	den	den	PROPN
ejpam-6711	448	7	driessche	driessche	NOUN
ejpam-6711	448	8	and	and	CCONJ
ejpam-6711	448	9	james	james	PROPN
ejpam-6711	448	10	watmough	watmough	PROPN
ejpam-6711	448	11	.	.	PUNCT
ejpam-6711	449	1	reproduction	reproduction	NOUN
ejpam-6711	449	2	numbers	number	NOUN
ejpam-6711	449	3	and	and	CCONJ
ejpam-6711	449	4	subthreshold	subthreshold	ADJ
ejpam-6711	449	5	endemic	endemic	ADJ
ejpam-6711	449	6	equilibria	equilibrium	NOUN
ejpam-6711	449	7	for	for	ADP
ejpam-6711	449	8	compartmental	compartmental	ADJ
ejpam-6711	449	9	models	model	NOUN
ejpam-6711	449	10	of	of	ADP
ejpam-6711	449	11	disease	disease	NOUN
ejpam-6711	449	12	transmission	transmission	NOUN
ejpam-6711	449	13	.	.	PUNCT
ejpam-6711	450	1	mathematical	mathematical	ADJ
ejpam-6711	450	2	biosciences	bioscience	NOUN
ejpam-6711	450	3	,	,	PUNCT
ejpam-6711	450	4	180(1	180(1	NUM
ejpam-6711	450	5	-	-	SYM
ejpam-6711	450	6	2):29–48	2):29–48	NUM
ejpam-6711	450	7	,	,	PUNCT
ejpam-6711	450	8	2002	2002	NUM
ejpam-6711	450	9	.	.	PUNCT
ejpam-6711	451	1	[	[	X
ejpam-6711	451	2	27	27	NUM
ejpam-6711	451	3	]	]	PUNCT
ejpam-6711	451	4	as	as	ADP
ejpam-6711	451	5	alqahtani	alqahtani	ADJ
ejpam-6711	451	6	,	,	PUNCT
ejpam-6711	451	7	sehrish	sehrish	PROPN
ejpam-6711	451	8	ramzan	ramzan	PROPN
ejpam-6711	451	9	,	,	PUNCT
ejpam-6711	451	10	syeda	syeda	PROPN
ejpam-6711	451	11	alishwa	alishwa	PROPN
ejpam-6711	451	12	zanib	zanib	NOUN
ejpam-6711	451	13	,	,	PUNCT
ejpam-6711	451	14	aqsa	aqsa	PROPN
ejpam-6711	451	15	nazir	nazir	PROPN
ejpam-6711	451	16	,	,	PUNCT
ejpam-6711	451	17	khalid	khalid	PROPN
ejpam-6711	451	18	masood	masood	PROPN
ejpam-6711	451	19	,	,	PUNCT
ejpam-6711	451	20	and	and	CCONJ
ejpam-6711	451	21	my	my	PRON
ejpam-6711	451	22	malik	malik	PROPN
ejpam-6711	451	23	.	.	PUNCT
ejpam-6711	452	1	mathematical	mathematical	ADJ
ejpam-6711	452	2	modeling	modeling	NOUN
ejpam-6711	452	3	and	and	CCONJ
ejpam-6711	452	4	simulation	simulation	NOUN
ejpam-6711	452	5	for	for	ADP
ejpam-6711	452	6	malaria	malaria	NOUN
ejpam-6711	452	7	disease	disease	NOUN
ejpam-6711	452	8	transmission	transmission	NOUN
ejpam-6711	452	9	using	use	VERB
ejpam-6711	452	10	the	the	DET
ejpam-6711	452	11	cf	cf	NOUN
ejpam-6711	452	12	fractional	fractional	ADJ
ejpam-6711	452	13	derivative	derivative	NOUN
ejpam-6711	452	14	.	.	PUNCT
ejpam-6711	453	1	alexandria	alexandria	PROPN
ejpam-6711	453	2	engineering	engineering	PROPN
ejpam-6711	453	3	journal	journal	PROPN
ejpam-6711	453	4	,	,	PUNCT
ejpam-6711	453	5	101:193–204	101:193–204	NUM
ejpam-6711	453	6	,	,	PUNCT
ejpam-6711	453	7	2024	2024	NUM
ejpam-6711	453	8	.	.	PUNCT
ejpam-6711	454	1	[	[	X
ejpam-6711	454	2	28	28	NUM
ejpam-6711	454	3	]	]	X
ejpam-6711	454	4	carlos	carlos	PROPN
ejpam-6711	454	5	castillo	castillo	PROPN
ejpam-6711	454	6	-	-	PUNCT
ejpam-6711	454	7	chavez	chavez	PROPN
ejpam-6711	454	8	,	,	PUNCT
ejpam-6711	454	9	zhilan	zhilan	PROPN
ejpam-6711	454	10	feng	feng	PROPN
ejpam-6711	454	11	,	,	PUNCT
ejpam-6711	454	12	wenzhang	wenzhang	PROPN
ejpam-6711	454	13	huang	huang	PROPN
ejpam-6711	454	14	,	,	PUNCT
ejpam-6711	454	15	et	et	PROPN
ejpam-6711	454	16	al	al	PROPN
ejpam-6711	454	17	.	.	PROPN
ejpam-6711	455	1	on	on	ADP
ejpam-6711	455	2	the	the	DET
ejpam-6711	455	3	computation	computation	NOUN
ejpam-6711	455	4	of	of	ADP
ejpam-6711	455	5	r	r	NOUN
ejpam-6711	455	6	(	(	PUNCT
ejpam-6711	455	7	o	o	NOUN
ejpam-6711	455	8	)	)	PUNCT
ejpam-6711	455	9	and	and	CCONJ
ejpam-6711	455	10	its	its	PRON
ejpam-6711	455	11	role	role	NOUN
ejpam-6711	455	12	on	on	ADP
ejpam-6711	455	13	global	global	ADJ
ejpam-6711	455	14	stability	stability	NOUN
ejpam-6711	455	15	.	.	PUNCT
ejpam-6711	456	1	2001	2001	NUM
ejpam-6711	456	2	.	.	PUNCT
ejpam-6711	457	1	introduction	introduction	NOUN
ejpam-6711	457	2	model	model	NOUN
ejpam-6711	457	3	formulation	formulation	NOUN
ejpam-6711	457	4	basic	basic	ADJ
ejpam-6711	457	5	properties	property	NOUN
ejpam-6711	457	6	of	of	ADP
ejpam-6711	457	7	the	the	DET
ejpam-6711	457	8	model	model	NOUN
ejpam-6711	457	9	positively	positively	ADV
ejpam-6711	457	10	invariant	invariant	ADJ
ejpam-6711	457	11	region	region	NOUN
ejpam-6711	457	12	positivity	positivity	NOUN
ejpam-6711	457	13	and	and	CCONJ
ejpam-6711	457	14	boundedness	boundedness	NOUN
ejpam-6711	457	15	drug	drug	NOUN
ejpam-6711	457	16	-	-	PUNCT
ejpam-6711	457	17	free	free	ADJ
ejpam-6711	457	18	equilibrium	equilibrium	NOUN
ejpam-6711	457	19	point	point	NOUN
ejpam-6711	457	20	basic	basic	ADJ
ejpam-6711	457	21	reproduction	reproduction	NOUN
ejpam-6711	457	22	number	number	NOUN
ejpam-6711	457	23	local	local	ADJ
ejpam-6711	457	24	stability	stability	NOUN
ejpam-6711	457	25	analysis	analysis	NOUN
ejpam-6711	457	26	global	global	ADJ
ejpam-6711	457	27	stability	stability	NOUN
ejpam-6711	457	28	analysis	analysis	NOUN
ejpam-6711	457	29	sensitivity	sensitivity	NOUN
ejpam-6711	457	30	analysis	analysis	NOUN
ejpam-6711	457	31	numerical	numerical	ADJ
ejpam-6711	457	32	and	and	CCONJ
ejpam-6711	457	33	simulation	simulation	NOUN
ejpam-6711	457	34	results	result	NOUN
ejpam-6711	457	35	parameter	parameter	NOUN
ejpam-6711	457	36	variation	variation	NOUN
ejpam-6711	457	37	effects	effect	NOUN
ejpam-6711	457	38	on	on	ADP
ejpam-6711	457	39	model	model	NOUN
ejpam-6711	457	40	(	(	PUNCT
ejpam-6711	457	41	2.1	2.1	NUM
ejpam-6711	457	42	)	)	PUNCT
ejpam-6711	457	43	conclusion	conclusion	NOUN
ejpam-6711	457	44	acknowledgements	acknowledgement	NOUN