id	sid	tid	token	lemma	pos
ejpam-6967	1	1	european	european	PROPN
ejpam-6967	1	2	journal	journal	PROPN
ejpam-6967	1	3	of	of	ADP
ejpam-6967	1	4	pure	pure	ADJ
ejpam-6967	1	5	and	and	CCONJ
ejpam-6967	1	6	applied	applied	ADJ
ejpam-6967	1	7	mathematics	mathematic	NOUN
ejpam-6967	1	8	2025	2025	NUM
ejpam-6967	1	9	,	,	PUNCT
ejpam-6967	1	10	vol	vol	NOUN
ejpam-6967	1	11	.	.	PROPN
ejpam-6967	1	12	18	18	NUM
ejpam-6967	1	13	,	,	PUNCT
ejpam-6967	1	14	issue	issue	NOUN
ejpam-6967	1	15	4	4	NUM
ejpam-6967	1	16	,	,	PUNCT
ejpam-6967	1	17	article	article	NOUN
ejpam-6967	1	18	number	number	NOUN
ejpam-6967	1	19	6967	6967	NUM
ejpam-6967	1	20	issn	issn	VERB
ejpam-6967	1	21	1307	1307	NUM
ejpam-6967	1	22	-	-	SYM
ejpam-6967	1	23	5543	5543	NUM
ejpam-6967	1	24	–	–	PUNCT
ejpam-6967	1	25	ejpam.com	ejpam.com	X
ejpam-6967	1	26	published	publish	VERB
ejpam-6967	1	27	by	by	ADP
ejpam-6967	1	28	new	new	PROPN
ejpam-6967	1	29	york	york	PROPN
ejpam-6967	1	30	business	business	PROPN
ejpam-6967	1	31	global	global	PROPN
ejpam-6967	1	32	cybersecurity	cybersecurity	NOUN
ejpam-6967	1	33	-	-	PUNCT
ejpam-6967	1	34	focused	focus	VERB
ejpam-6967	1	35	modeling	modeling	NOUN
ejpam-6967	1	36	of	of	ADP
ejpam-6967	1	37	computer	computer	NOUN
ejpam-6967	1	38	virus	virus	NOUN
ejpam-6967	1	39	propagation	propagation	NOUN
ejpam-6967	1	40	incorporating	incorporate	VERB
ejpam-6967	1	41	removable	removable	ADJ
ejpam-6967	1	42	media	medium	NOUN
ejpam-6967	1	43	gauhar	gauhar	PROPN
ejpam-6967	1	44	ali1	ali1	PROPN
ejpam-6967	1	45	,	,	PUNCT
ejpam-6967	1	46	mohammed	mohammed	PROPN
ejpam-6967	1	47	elaffendi1	elaffendi1	PROPN
ejpam-6967	1	48	,	,	PUNCT
ejpam-6967	1	49	ismail	ismail	NOUN
ejpam-6967	1	50	shah2,3,∗	shah2,3,∗	NOUN
ejpam-6967	1	51	1	1	NUM
ejpam-6967	1	52	eias	eias	PROPN
ejpam-6967	1	53	data	data	NOUN
ejpam-6967	1	54	science	science	NOUN
ejpam-6967	1	55	and	and	CCONJ
ejpam-6967	1	56	blockchain	blockchain	PROPN
ejpam-6967	1	57	lab	lab	PROPN
ejpam-6967	1	58	,	,	PUNCT
ejpam-6967	1	59	college	college	NOUN
ejpam-6967	1	60	of	of	ADP
ejpam-6967	1	61	computer	computer	NOUN
ejpam-6967	1	62	and	and	CCONJ
ejpam-6967	1	63	information	information	NOUN
ejpam-6967	1	64	sciences	science	NOUN
ejpam-6967	1	65	,	,	PUNCT
ejpam-6967	1	66	prince	prince	PROPN
ejpam-6967	1	67	sultan	sultan	PROPN
ejpam-6967	1	68	university	university	PROPN
ejpam-6967	1	69	,	,	PUNCT
ejpam-6967	1	70	riyadh	riyadh	PROPN
ejpam-6967	1	71	11586	11586	NUM
ejpam-6967	1	72	,	,	PUNCT
ejpam-6967	1	73	saudi	saudi	PROPN
ejpam-6967	1	74	arabia	arabia	PROPN
ejpam-6967	1	75	2	2	NUM
ejpam-6967	1	76	department	department	NOUN
ejpam-6967	1	77	of	of	ADP
ejpam-6967	1	78	mathematics	mathematic	NOUN
ejpam-6967	1	79	,	,	PUNCT
ejpam-6967	1	80	university	university	NOUN
ejpam-6967	1	81	of	of	ADP
ejpam-6967	1	82	malakand	malakand	PROPN
ejpam-6967	1	83	,	,	PUNCT
ejpam-6967	1	84	chakdara	chakdara	NOUN
ejpam-6967	1	85	dir(l	dir(l	PROPN
ejpam-6967	1	86	)	)	PUNCT
ejpam-6967	1	87	,	,	PUNCT
ejpam-6967	1	88	18000	18000	NUM
ejpam-6967	1	89	,	,	PUNCT
ejpam-6967	1	90	khyber	khyber	PROPN
ejpam-6967	1	91	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6967	1	92	,	,	PUNCT
ejpam-6967	1	93	pakistan	pakistan	PROPN
ejpam-6967	1	94	3	3	NUM
ejpam-6967	1	95	university	university	PROPN
ejpam-6967	1	96	of	of	ADP
ejpam-6967	1	97	nottingham	nottingham	PROPN
ejpam-6967	1	98	ningbo	ningbo	PROPN
ejpam-6967	1	99	china	china	PROPN
ejpam-6967	1	100	199	199	NUM
ejpam-6967	1	101	taikang	taikang	PROPN
ejpam-6967	1	102	east	east	PROPN
ejpam-6967	1	103	road	road	PROPN
ejpam-6967	1	104	,	,	PUNCT
ejpam-6967	1	105	ningbo	ningbo	PROPN
ejpam-6967	1	106	315100	315100	NUM
ejpam-6967	1	107	,	,	PUNCT
ejpam-6967	1	108	china	china	PROPN
ejpam-6967	1	109	abstract	abstract	PROPN
ejpam-6967	1	110	.	.	PUNCT
ejpam-6967	2	1	the	the	DET
ejpam-6967	2	2	persistent	persistent	ADJ
ejpam-6967	2	3	threat	threat	NOUN
ejpam-6967	2	4	of	of	ADP
ejpam-6967	2	5	malware	malware	NOUN
ejpam-6967	2	6	propagation	propagation	NOUN
ejpam-6967	2	7	necessitates	necessitate	VERB
ejpam-6967	2	8	advanced	advanced	ADJ
ejpam-6967	2	9	modeling	modeling	NOUN
ejpam-6967	2	10	techniques	technique	NOUN
ejpam-6967	2	11	to	to	PART
ejpam-6967	2	12	develop	develop	VERB
ejpam-6967	2	13	proactive	proactive	ADJ
ejpam-6967	2	14	cybersecurity	cybersecurity	NOUN
ejpam-6967	2	15	defenses	defense	NOUN
ejpam-6967	2	16	.	.	PUNCT
ejpam-6967	3	1	while	while	SCONJ
ejpam-6967	3	2	numerous	numerous	ADJ
ejpam-6967	3	3	epidemiological	epidemiological	ADJ
ejpam-6967	3	4	models	model	NOUN
ejpam-6967	3	5	exist	exist	VERB
ejpam-6967	3	6	for	for	ADP
ejpam-6967	3	7	network	network	NOUN
ejpam-6967	3	8	-	-	PUNCT
ejpam-6967	3	9	based	base	VERB
ejpam-6967	3	10	spread	spread	NOUN
ejpam-6967	3	11	,	,	PUNCT
ejpam-6967	3	12	the	the	DET
ejpam-6967	3	13	critical	critical	ADJ
ejpam-6967	3	14	role	role	NOUN
ejpam-6967	3	15	of	of	ADP
ejpam-6967	3	16	removable	removable	ADJ
ejpam-6967	3	17	media	medium	NOUN
ejpam-6967	3	18	as	as	ADP
ejpam-6967	3	19	a	a	DET
ejpam-6967	3	20	potent	potent	ADJ
ejpam-6967	3	21	transmission	transmission	NOUN
ejpam-6967	3	22	vector	vector	NOUN
ejpam-6967	3	23	remains	remain	VERB
ejpam-6967	3	24	quantitatively	quantitatively	ADV
ejpam-6967	3	25	under	under	ADP
ejpam-6967	3	26	explored	explore	VERB
ejpam-6967	3	27	.	.	PUNCT
ejpam-6967	4	1	this	this	DET
ejpam-6967	4	2	paper	paper	NOUN
ejpam-6967	4	3	introduces	introduce	VERB
ejpam-6967	4	4	a	a	DET
ejpam-6967	4	5	novel	novel	ADJ
ejpam-6967	4	6	six	six	NUM
ejpam-6967	4	7	compartment	compartment	NOUN
ejpam-6967	4	8	slaqrd	slaqrd	NOUN
ejpam-6967	4	9	model	model	NOUN
ejpam-6967	4	10	that	that	PRON
ejpam-6967	4	11	synthesizes	synthesize	VERB
ejpam-6967	4	12	both	both	CCONJ
ejpam-6967	4	13	network	network	NOUN
ejpam-6967	4	14	and	and	CCONJ
ejpam-6967	4	15	removable	removable	ADJ
ejpam-6967	4	16	media	medium	NOUN
ejpam-6967	4	17	infection	infection	NOUN
ejpam-6967	4	18	routes	route	NOUN
ejpam-6967	4	19	,	,	PUNCT
ejpam-6967	4	20	incorporating	incorporate	VERB
ejpam-6967	4	21	realistic	realistic	ADJ
ejpam-6967	4	22	states	state	NOUN
ejpam-6967	4	23	such	such	ADJ
ejpam-6967	4	24	as	as	ADP
ejpam-6967	4	25	latent	latent	NOUN
ejpam-6967	4	26	,	,	PUNCT
ejpam-6967	4	27	active	active	ADJ
ejpam-6967	4	28	,	,	PUNCT
ejpam-6967	4	29	quarantined	quarantined	ADJ
ejpam-6967	4	30	,	,	PUNCT
ejpam-6967	4	31	recovered	recover	VERB
ejpam-6967	4	32	,	,	PUNCT
ejpam-6967	4	33	and	and	CCONJ
ejpam-6967	4	34	deactivated	deactivated	ADJ
ejpam-6967	4	35	systems	system	NOUN
ejpam-6967	4	36	.	.	PUNCT
ejpam-6967	5	1	a	a	DET
ejpam-6967	5	2	rigorous	rigorous	ADJ
ejpam-6967	5	3	mathematical	mathematical	ADJ
ejpam-6967	5	4	analysis	analysis	NOUN
ejpam-6967	5	5	establishes	establish	VERB
ejpam-6967	5	6	the	the	DET
ejpam-6967	5	7	model	model	NOUN
ejpam-6967	5	8	’s	’s	PART
ejpam-6967	5	9	well	well	ADJ
ejpam-6967	5	10	-	-	PUNCT
ejpam-6967	5	11	posedness	posedness	NOUN
ejpam-6967	5	12	and	and	CCONJ
ejpam-6967	5	13	derives	derive	VERB
ejpam-6967	5	14	a	a	DET
ejpam-6967	5	15	key	key	ADJ
ejpam-6967	5	16	epidemiological	epidemiological	ADJ
ejpam-6967	5	17	threshold	threshold	NOUN
ejpam-6967	5	18	governing	govern	VERB
ejpam-6967	5	19	outbreak	outbreak	NOUN
ejpam-6967	5	20	dynamics	dynamic	NOUN
ejpam-6967	5	21	.	.	PUNCT
ejpam-6967	6	1	furthermore	furthermore	ADV
ejpam-6967	6	2	,	,	PUNCT
ejpam-6967	6	3	the	the	DET
ejpam-6967	6	4	global	global	ADJ
ejpam-6967	6	5	stability	stability	NOUN
ejpam-6967	6	6	of	of	ADP
ejpam-6967	6	7	the	the	DET
ejpam-6967	6	8	disease	disease	NOUN
ejpam-6967	6	9	-	-	PUNCT
ejpam-6967	6	10	free	free	ADJ
ejpam-6967	6	11	equilibrium	equilibrium	NOUN
ejpam-6967	6	12	is	be	AUX
ejpam-6967	6	13	proven	prove	VERB
ejpam-6967	6	14	under	under	ADP
ejpam-6967	6	15	specific	specific	ADJ
ejpam-6967	6	16	conditions	condition	NOUN
ejpam-6967	6	17	.	.	PUNCT
ejpam-6967	7	1	to	to	PART
ejpam-6967	7	2	transition	transition	VERB
ejpam-6967	7	3	from	from	ADP
ejpam-6967	7	4	theory	theory	NOUN
ejpam-6967	7	5	to	to	ADP
ejpam-6967	7	6	actionable	actionable	ADJ
ejpam-6967	7	7	policy	policy	NOUN
ejpam-6967	7	8	,	,	PUNCT
ejpam-6967	7	9	an	an	DET
ejpam-6967	7	10	optimal	optimal	ADJ
ejpam-6967	7	11	control	control	NOUN
ejpam-6967	7	12	framework	framework	NOUN
ejpam-6967	7	13	is	be	AUX
ejpam-6967	7	14	formulated	formulate	VERB
ejpam-6967	7	15	,	,	PUNCT
ejpam-6967	7	16	dynamically	dynamically	ADV
ejpam-6967	7	17	allocating	allocate	VERB
ejpam-6967	7	18	resources	resource	NOUN
ejpam-6967	7	19	to	to	ADP
ejpam-6967	7	20	media	media	NOUN
ejpam-6967	7	21	protection	protection	NOUN
ejpam-6967	7	22	,	,	PUNCT
ejpam-6967	7	23	quarantine	quarantine	NOUN
ejpam-6967	7	24	,	,	PUNCT
ejpam-6967	7	25	and	and	CCONJ
ejpam-6967	7	26	recovery	recovery	NOUN
ejpam-6967	7	27	efforts	effort	NOUN
ejpam-6967	7	28	.	.	PUNCT
ejpam-6967	8	1	numerical	numerical	ADJ
ejpam-6967	8	2	simulations	simulation	NOUN
ejpam-6967	8	3	demonstrate	demonstrate	VERB
ejpam-6967	8	4	that	that	SCONJ
ejpam-6967	8	5	this	this	DET
ejpam-6967	8	6	optimized	optimize	VERB
ejpam-6967	8	7	strategy	strategy	NOUN
ejpam-6967	8	8	significantly	significantly	ADV
ejpam-6967	8	9	mitigates	mitigate	VERB
ejpam-6967	8	10	outbreak	outbreak	NOUN
ejpam-6967	8	11	impact	impact	NOUN
ejpam-6967	8	12	,	,	PUNCT
ejpam-6967	8	13	reducing	reduce	VERB
ejpam-6967	8	14	peak	peak	NOUN
ejpam-6967	8	15	infections	infection	NOUN
ejpam-6967	8	16	by	by	ADP
ejpam-6967	8	17	35.7	35.7	NUM
ejpam-6967	8	18	%	%	NOUN
ejpam-6967	8	19	and	and	CCONJ
ejpam-6967	8	20	system	system	NOUN
ejpam-6967	8	21	deactivation	deactivation	NOUN
ejpam-6967	8	22	by	by	ADP
ejpam-6967	8	23	45.8	45.8	NUM
ejpam-6967	8	24	%	%	NOUN
ejpam-6967	8	25	,	,	PUNCT
ejpam-6967	8	26	while	while	SCONJ
ejpam-6967	8	27	increasing	increase	VERB
ejpam-6967	8	28	recovered	recover	VERB
ejpam-6967	8	29	systems	system	NOUN
ejpam-6967	8	30	by	by	ADP
ejpam-6967	8	31	62.5	62.5	NUM
ejpam-6967	8	32	%	%	NOUN
ejpam-6967	8	33	.	.	PUNCT
ejpam-6967	9	1	the	the	DET
ejpam-6967	9	2	study	study	NOUN
ejpam-6967	9	3	provides	provide	VERB
ejpam-6967	9	4	a	a	DET
ejpam-6967	9	5	quantitative	quantitative	ADJ
ejpam-6967	9	6	foundation	foundation	NOUN
ejpam-6967	9	7	for	for	ADP
ejpam-6967	9	8	resource	resource	NOUN
ejpam-6967	9	9	allocation	allocation	NOUN
ejpam-6967	9	10	,	,	PUNCT
ejpam-6967	9	11	emphasizing	emphasize	VERB
ejpam-6967	9	12	that	that	SCONJ
ejpam-6967	9	13	investments	investment	NOUN
ejpam-6967	9	14	in	in	ADP
ejpam-6967	9	15	proactive	proactive	ADJ
ejpam-6967	9	16	detection	detection	NOUN
ejpam-6967	9	17	and	and	CCONJ
ejpam-6967	9	18	rapid	rapid	ADJ
ejpam-6967	9	19	containment	containment	NOUN
ejpam-6967	9	20	are	be	AUX
ejpam-6967	9	21	paramount	paramount	ADJ
ejpam-6967	9	22	for	for	ADP
ejpam-6967	9	23	enhancing	enhance	VERB
ejpam-6967	9	24	organizational	organizational	ADJ
ejpam-6967	9	25	cybersecurity	cybersecurity	NOUN
ejpam-6967	9	26	resilience	resilience	NOUN
ejpam-6967	9	27	.	.	PUNCT
ejpam-6967	10	1	2020	2020	NUM
ejpam-6967	10	2	mathematics	mathematic	NOUN
ejpam-6967	10	3	subject	subject	NOUN
ejpam-6967	10	4	classifications	classification	NOUN
ejpam-6967	10	5	:	:	PUNCT
ejpam-6967	10	6	93c95	93c95	NUM
ejpam-6967	10	7	,	,	PUNCT
ejpam-6967	10	8	93a30	93a30	NUM
ejpam-6967	10	9	,	,	PUNCT
ejpam-6967	10	10	68m25	68m25	NUM
ejpam-6967	10	11	,	,	PUNCT
ejpam-6967	10	12	68q85	68q85	NUM
ejpam-6967	10	13	key	key	ADJ
ejpam-6967	10	14	words	word	NOUN
ejpam-6967	10	15	and	and	CCONJ
ejpam-6967	10	16	phrases	phrase	NOUN
ejpam-6967	10	17	:	:	PUNCT
ejpam-6967	10	18	cybersecurity	cybersecurity	NOUN
ejpam-6967	10	19	,	,	PUNCT
ejpam-6967	10	20	malware	malware	NOUN
ejpam-6967	10	21	propagation	propagation	NOUN
ejpam-6967	10	22	,	,	PUNCT
ejpam-6967	10	23	removable	removable	ADJ
ejpam-6967	10	24	media	medium	NOUN
ejpam-6967	10	25	,	,	PUNCT
ejpam-6967	10	26	optimal	optimal	ADJ
ejpam-6967	10	27	control	control	NOUN
ejpam-6967	10	28	,	,	PUNCT
ejpam-6967	10	29	resource	resource	NOUN
ejpam-6967	10	30	allocation	allocation	NOUN
ejpam-6967	10	31	1	1	NUM
ejpam-6967	10	32	.	.	PUNCT
ejpam-6967	10	33	introduction	introduction	NOUN
ejpam-6967	10	34	the	the	DET
ejpam-6967	10	35	pervasive	pervasive	ADJ
ejpam-6967	10	36	integration	integration	NOUN
ejpam-6967	10	37	of	of	ADP
ejpam-6967	10	38	digital	digital	ADJ
ejpam-6967	10	39	technology	technology	NOUN
ejpam-6967	10	40	into	into	ADP
ejpam-6967	10	41	the	the	DET
ejpam-6967	10	42	fabric	fabric	NOUN
ejpam-6967	10	43	of	of	ADP
ejpam-6967	10	44	modern	modern	ADJ
ejpam-6967	10	45	society	society	NOUN
ejpam-6967	10	46	has	have	AUX
ejpam-6967	10	47	made	make	VERB
ejpam-6967	10	48	cybersecurity	cybersecurity	NOUN
ejpam-6967	10	49	a	a	DET
ejpam-6967	10	50	critical	critical	ADJ
ejpam-6967	10	51	global	global	ADJ
ejpam-6967	10	52	concern	concern	NOUN
ejpam-6967	10	53	.	.	PUNCT
ejpam-6967	11	1	computer	computer	NOUN
ejpam-6967	11	2	networks	network	NOUN
ejpam-6967	11	3	,	,	PUNCT
ejpam-6967	11	4	which	which	PRON
ejpam-6967	11	5	form	form	VERB
ejpam-6967	11	6	the	the	DET
ejpam-6967	11	7	backbone	backbone	NOUN
ejpam-6967	11	8	of	of	ADP
ejpam-6967	11	9	economic	economic	ADJ
ejpam-6967	11	10	,	,	PUNCT
ejpam-6967	11	11	governmental	governmental	ADJ
ejpam-6967	11	12	,	,	PUNCT
ejpam-6967	11	13	and	and	CCONJ
ejpam-6967	11	14	social	social	ADJ
ejpam-6967	11	15	infrastructures	infrastructure	NOUN
ejpam-6967	11	16	,	,	PUNCT
ejpam-6967	11	17	are	be	AUX
ejpam-6967	11	18	perpetually	perpetually	ADV
ejpam-6967	11	19	under	under	ADP
ejpam-6967	11	20	threat	threat	NOUN
ejpam-6967	11	21	∗corresponding	∗corresponde	VERB
ejpam-6967	11	22	author	author	NOUN
ejpam-6967	11	23	.	.	PUNCT
ejpam-6967	12	1	doi	doi	NOUN
ejpam-6967	12	2	:	:	PUNCT
ejpam-6967	12	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6967	https://doi.org/10.29020/nybg.ejpam.v18i4.6967	ADP
ejpam-6967	12	4	email	email	NOUN
ejpam-6967	12	5	addresses	address	VERB
ejpam-6967	12	6	:	:	PUNCT
ejpam-6967	12	7	gali@psu.edu.sa	gali@psu.edu.sa	PROPN
ejpam-6967	12	8	(	(	PUNCT
ejpam-6967	12	9	g.	g.	PROPN
ejpam-6967	12	10	ali	ali	PROPN
ejpam-6967	12	11	)	)	PUNCT
ejpam-6967	12	12	,	,	PUNCT
ejpam-6967	12	13	affendi@psu.edu.sa	affendi@psu.edu.sa	PROPN
ejpam-6967	12	14	(	(	PUNCT
ejpam-6967	12	15	m.	m.	NOUN
ejpam-6967	12	16	elaffendi	elaffendi	PROPN
ejpam-6967	12	17	)	)	PUNCT
ejpam-6967	12	18	,	,	PUNCT
ejpam-6967	12	19	ismail81eu@gmail.com	ismail81eu@gmail.com	NOUN
ejpam-6967	12	20	(	(	PUNCT
ejpam-6967	12	21	i.	i.	PROPN
ejpam-6967	12	22	shah	shah	PROPN
ejpam-6967	12	23	)	)	PUNCT
ejpam-6967	12	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6967	13	1	1	1	NUM
ejpam-6967	13	2	copyright	copyright	NOUN
ejpam-6967	13	3	:	:	PUNCT
ejpam-6967	13	4	©	©	PROPN
ejpam-6967	13	5	2025	2025	NUM
ejpam-6967	13	6	the	the	DET
ejpam-6967	13	7	author(s	author(s	NOUN
ejpam-6967	13	8	)	)	PUNCT
ejpam-6967	13	9	.	.	PUNCT
ejpam-6967	14	1	(	(	PUNCT
ejpam-6967	14	2	cc	cc	NOUN
ejpam-6967	14	3	by	by	ADP
ejpam-6967	14	4	-	-	PUNCT
ejpam-6967	14	5	nc	nc	PROPN
ejpam-6967	14	6	4.0	4.0	NUM
ejpam-6967	14	7	)	)	PUNCT
ejpam-6967	14	8	g.	g.	PROPN
ejpam-6967	14	9	ali	ali	PROPN
ejpam-6967	14	10	et	et	PROPN
ejpam-6967	14	11	al	al	PROPN
ejpam-6967	14	12	.	.	PUNCT
ejpam-6967	14	13	/	/	SYM
ejpam-6967	14	14	eur	eur	PROPN
ejpam-6967	14	15	.	.	PUNCT
ejpam-6967	15	1	j.	j.	PROPN
ejpam-6967	15	2	pure	pure	PROPN
ejpam-6967	15	3	appl	appl	PROPN
ejpam-6967	15	4	.	.	PROPN
ejpam-6967	15	5	math	math	PROPN
ejpam-6967	15	6	,	,	PUNCT
ejpam-6967	15	7	18	18	NUM
ejpam-6967	15	8	(	(	PUNCT
ejpam-6967	15	9	4	4	NUM
ejpam-6967	15	10	)	)	PUNCT
ejpam-6967	15	11	(	(	PUNCT
ejpam-6967	15	12	2025	2025	NUM
ejpam-6967	15	13	)	)	PUNCT
ejpam-6967	15	14	,	,	PUNCT
ejpam-6967	15	15	6967	6967	NUM
ejpam-6967	15	16	2	2	NUM
ejpam-6967	15	17	of	of	ADP
ejpam-6967	15	18	29	29	NUM
ejpam-6967	15	19	from	from	ADP
ejpam-6967	15	20	a	a	DET
ejpam-6967	15	21	relentless	relentless	ADJ
ejpam-6967	15	22	evolution	evolution	NOUN
ejpam-6967	15	23	of	of	ADP
ejpam-6967	15	24	malicious	malicious	ADJ
ejpam-6967	15	25	software	software	NOUN
ejpam-6967	15	26	(	(	PUNCT
ejpam-6967	15	27	malware	malware	NOUN
ejpam-6967	15	28	)	)	PUNCT
ejpam-6967	16	1	[	[	X
ejpam-6967	16	2	1	1	NUM
ejpam-6967	16	3	]	]	PUNCT
ejpam-6967	16	4	.	.	PUNCT
ejpam-6967	17	1	among	among	ADP
ejpam-6967	17	2	such	such	ADJ
ejpam-6967	17	3	threats	threat	NOUN
ejpam-6967	17	4	,	,	PUNCT
ejpam-6967	17	5	viruses	virus	NOUN
ejpam-6967	17	6	and	and	CCONJ
ejpam-6967	17	7	worms	worm	NOUN
ejpam-6967	17	8	that	that	PRON
ejpam-6967	17	9	propagate	propagate	VERB
ejpam-6967	17	10	automatically	automatically	ADV
ejpam-6967	17	11	are	be	AUX
ejpam-6967	17	12	an	an	DET
ejpam-6967	17	13	important	important	ADJ
ejpam-6967	17	14	category	category	NOUN
ejpam-6967	17	15	of	of	ADP
ejpam-6967	17	16	cyberattacks	cyberattack	NOUN
ejpam-6967	17	17	that	that	PRON
ejpam-6967	17	18	can	can	AUX
ejpam-6967	17	19	disrupt	disrupt	VERB
ejpam-6967	17	20	operations	operation	NOUN
ejpam-6967	17	21	generate	generate	VERB
ejpam-6967	17	22	tremendous	tremendous	ADJ
ejpam-6967	17	23	amount	amount	NOUN
ejpam-6967	17	24	of	of	ADP
ejpam-6967	17	25	losses	loss	NOUN
ejpam-6967	17	26	of	of	ADP
ejpam-6967	17	27	money	money	NOUN
ejpam-6967	17	28	or	or	CCONJ
ejpam-6967	17	29	data	datum	NOUN
ejpam-6967	17	30	[	[	X
ejpam-6967	17	31	2	2	NUM
ejpam-6967	17	32	]	]	PUNCT
ejpam-6967	17	33	.	.	PUNCT
ejpam-6967	18	1	the	the	DET
ejpam-6967	18	2	notorious	notorious	ADJ
ejpam-6967	18	3	outbursts	outburst	NOUN
ejpam-6967	18	4	initiated	initiate	VERB
ejpam-6967	18	5	due	due	ADP
ejpam-6967	18	6	to	to	ADP
ejpam-6967	18	7	malware	malware	NOUN
ejpam-6967	18	8	,	,	PUNCT
ejpam-6967	18	9	such	such	ADJ
ejpam-6967	18	10	as	as	ADP
ejpam-6967	18	11	stuxnet	stuxnet	NOUN
ejpam-6967	18	12	[	[	X
ejpam-6967	18	13	3	3	NUM
ejpam-6967	18	14	]	]	PUNCT
ejpam-6967	18	15	and	and	CCONJ
ejpam-6967	18	16	wannacry	wannacry	NOUN
ejpam-6967	19	1	[	[	X
ejpam-6967	19	2	4	4	X
ejpam-6967	19	3	]	]	PUNCT
ejpam-6967	19	4	reveal	reveal	VERB
ejpam-6967	19	5	the	the	DET
ejpam-6967	19	6	calamitous	calamitous	ADJ
ejpam-6967	19	7	power	power	NOUN
ejpam-6967	19	8	of	of	ADP
ejpam-6967	19	9	these	these	DET
ejpam-6967	19	10	dangers	danger	NOUN
ejpam-6967	19	11	,	,	PUNCT
ejpam-6967	19	12	and	and	CCONJ
ejpam-6967	19	13	the	the	DET
ejpam-6967	19	14	necessity	necessity	NOUN
ejpam-6967	19	15	of	of	ADP
ejpam-6967	19	16	proactive	proactive	ADJ
ejpam-6967	19	17	security	security	NOUN
ejpam-6967	19	18	.	.	PUNCT
ejpam-6967	20	1	insight	insight	NOUN
ejpam-6967	20	2	into	into	ADP
ejpam-6967	20	3	how	how	SCONJ
ejpam-6967	20	4	malware	malware	NOUN
ejpam-6967	20	5	spreads	spread	VERB
ejpam-6967	20	6	is	be	AUX
ejpam-6967	20	7	paramount	paramount	ADJ
ejpam-6967	20	8	to	to	ADP
ejpam-6967	20	9	the	the	DET
ejpam-6967	20	10	development	development	NOUN
ejpam-6967	20	11	of	of	ADP
ejpam-6967	20	12	counter	counter	ADJ
ejpam-6967	20	13	measures	measure	NOUN
ejpam-6967	20	14	to	to	ADP
ejpam-6967	20	15	propagation	propagation	NOUN
ejpam-6967	20	16	.	.	PUNCT
ejpam-6967	21	1	building	build	VERB
ejpam-6967	21	2	upon	upon	SCONJ
ejpam-6967	21	3	the	the	DET
ejpam-6967	21	4	experience	experience	NOUN
ejpam-6967	21	5	of	of	ADP
ejpam-6967	21	6	mathematical	mathematical	ADJ
ejpam-6967	21	7	biology	biology	NOUN
ejpam-6967	21	8	in	in	ADP
ejpam-6967	21	9	the	the	DET
ejpam-6967	21	10	modeling	modeling	NOUN
ejpam-6967	21	11	of	of	ADP
ejpam-6967	21	12	the	the	DET
ejpam-6967	21	13	spread	spread	NOUN
ejpam-6967	21	14	of	of	ADP
ejpam-6967	21	15	infectious	infectious	ADJ
ejpam-6967	21	16	diseases	disease	NOUN
ejpam-6967	21	17	[	[	X
ejpam-6967	21	18	5	5	NUM
ejpam-6967	21	19	]	]	PUNCT
ejpam-6967	21	20	,	,	PUNCT
ejpam-6967	21	21	there	there	PRON
ejpam-6967	21	22	has	have	AUX
ejpam-6967	21	23	been	be	AUX
ejpam-6967	21	24	a	a	DET
ejpam-6967	21	25	large	large	ADJ
ejpam-6967	21	26	amount	amount	NOUN
ejpam-6967	21	27	of	of	ADP
ejpam-6967	21	28	work	work	NOUN
ejpam-6967	21	29	adapting	adapt	VERB
ejpam-6967	21	30	epidemiological	epidemiological	ADJ
ejpam-6967	21	31	models	model	NOUN
ejpam-6967	21	32	to	to	ADP
ejpam-6967	21	33	online	online	ADJ
ejpam-6967	21	34	contexts	context	NOUN
ejpam-6967	22	1	[	[	X
ejpam-6967	22	2	6	6	NUM
ejpam-6967	22	3	,	,	PUNCT
ejpam-6967	22	4	7	7	NUM
ejpam-6967	22	5	]	]	PUNCT
ejpam-6967	22	6	.	.	PUNCT
ejpam-6967	23	1	these	these	DET
ejpam-6967	23	2	models	model	NOUN
ejpam-6967	23	3	divide	divide	VERB
ejpam-6967	23	4	the	the	DET
ejpam-6967	23	5	network	network	NOUN
ejpam-6967	23	6	device	device	NOUN
ejpam-6967	23	7	population	population	NOUN
ejpam-6967	23	8	into	into	ADP
ejpam-6967	23	9	sub	sub	NOUN
ejpam-6967	23	10	compartments	compartment	NOUN
ejpam-6967	23	11	(	(	PUNCT
ejpam-6967	23	12	susceptible	susceptible	ADJ
ejpam-6967	23	13	,	,	PUNCT
ejpam-6967	23	14	infected	infected	ADJ
ejpam-6967	23	15	,	,	PUNCT
ejpam-6967	23	16	and	and	CCONJ
ejpam-6967	23	17	recovered	recover	VERB
ejpam-6967	23	18	(	(	PUNCT
ejpam-6967	23	19	sir	sir	NOUN
ejpam-6967	23	20	)	)	PUNCT
ejpam-6967	23	21	to	to	PART
ejpam-6967	23	22	model	model	VERB
ejpam-6967	23	23	about	about	ADP
ejpam-6967	23	24	the	the	DET
ejpam-6967	23	25	conditions	condition	NOUN
ejpam-6967	23	26	to	to	PART
ejpam-6967	23	27	outbreak	outbreak	VERB
ejpam-6967	23	28	,	,	PUNCT
ejpam-6967	23	29	its	its	PRON
ejpam-6967	23	30	extent	extent	NOUN
ejpam-6967	23	31	,	,	PUNCT
ejpam-6967	23	32	and	and	CCONJ
ejpam-6967	23	33	to	to	PART
ejpam-6967	23	34	assess	assess	VERB
ejpam-6967	23	35	the	the	DET
ejpam-6967	23	36	effectiveness	effectiveness	NOUN
ejpam-6967	23	37	of	of	ADP
ejpam-6967	23	38	the	the	DET
ejpam-6967	23	39	different	different	ADJ
ejpam-6967	23	40	containment	containment	NOUN
ejpam-6967	23	41	measures	measure	NOUN
ejpam-6967	23	42	.	.	PUNCT
ejpam-6967	24	1	this	this	DET
ejpam-6967	24	2	solution	solution	NOUN
ejpam-6967	24	3	allows	allow	VERB
ejpam-6967	24	4	to	to	PART
ejpam-6967	24	5	offer	offer	VERB
ejpam-6967	24	6	a	a	DET
ejpam-6967	24	7	comprehensive	comprehensive	ADJ
ejpam-6967	24	8	theoretical	theoretical	ADJ
ejpam-6967	24	9	foundation	foundation	NOUN
ejpam-6967	24	10	of	of	ADP
ejpam-6967	24	11	dropping	drop	VERB
ejpam-6967	24	12	the	the	DET
ejpam-6967	24	13	reactive	reactive	ADJ
ejpam-6967	24	14	security	security	NOUN
ejpam-6967	24	15	patches	patch	NOUN
ejpam-6967	24	16	and	and	CCONJ
ejpam-6967	24	17	transitioning	transition	VERB
ejpam-6967	24	18	to	to	ADP
ejpam-6967	24	19	a	a	DET
ejpam-6967	24	20	predictive	predictive	ADJ
ejpam-6967	24	21	resilience	resilience	NOUN
ejpam-6967	24	22	approach	approach	NOUN
ejpam-6967	24	23	to	to	ADP
ejpam-6967	24	24	cybersecurity	cybersecurity	NOUN
ejpam-6967	24	25	.	.	PUNCT
ejpam-6967	25	1	a	a	DET
ejpam-6967	25	2	large	large	ADJ
ejpam-6967	25	3	literature	literature	NOUN
ejpam-6967	25	4	exists	exist	VERB
ejpam-6967	25	5	on	on	ADP
ejpam-6967	25	6	models	model	NOUN
ejpam-6967	25	7	of	of	ADP
ejpam-6967	25	8	network	network	NOUN
ejpam-6967	25	9	-	-	PUNCT
ejpam-6967	25	10	based	base	VERB
ejpam-6967	25	11	malware	malware	NOUN
ejpam-6967	25	12	spread	spread	NOUN
ejpam-6967	25	13	,	,	PUNCT
ejpam-6967	25	14	frequently	frequently	ADV
ejpam-6967	25	15	treating	treat	VERB
ejpam-6967	25	16	spread	spread	NOUN
ejpam-6967	25	17	via	via	ADP
ejpam-6967	25	18	email	email	NOUN
ejpam-6967	26	1	[	[	X
ejpam-6967	26	2	8	8	NUM
ejpam-6967	26	3	]	]	PUNCT
ejpam-6967	26	4	,	,	PUNCT
ejpam-6967	26	5	software	software	NOUN
ejpam-6967	26	6	vulnerabilities	vulnerability	NOUN
ejpam-6967	27	1	[	[	X
ejpam-6967	27	2	9–12	9–12	NOUN
ejpam-6967	27	3	]	]	PUNCT
ejpam-6967	27	4	,	,	PUNCT
ejpam-6967	27	5	or	or	CCONJ
ejpam-6967	27	6	internet	internet	NOUN
ejpam-6967	27	7	scans	scan	NOUN
ejpam-6967	28	1	[	[	X
ejpam-6967	28	2	13	13	NUM
ejpam-6967	28	3	]	]	PUNCT
ejpam-6967	28	4	.	.	PUNCT
ejpam-6967	29	1	the	the	DET
ejpam-6967	29	2	role	role	NOUN
ejpam-6967	29	3	of	of	ADP
ejpam-6967	29	4	removable	removable	ADJ
ejpam-6967	29	5	media	medium	NOUN
ejpam-6967	29	6	,	,	PUNCT
ejpam-6967	29	7	such	such	ADJ
ejpam-6967	29	8	as	as	ADP
ejpam-6967	29	9	usb	usb	NOUN
ejpam-6967	29	10	drives	drive	NOUN
ejpam-6967	29	11	,	,	PUNCT
ejpam-6967	29	12	as	as	ADP
ejpam-6967	29	13	a	a	DET
ejpam-6967	29	14	persistent	persistent	ADJ
ejpam-6967	29	15	and	and	CCONJ
ejpam-6967	29	16	potent	potent	ADJ
ejpam-6967	29	17	transmission	transmission	NOUN
ejpam-6967	29	18	vector	vector	NOUN
ejpam-6967	29	19	is	be	AUX
ejpam-6967	29	20	frequently	frequently	ADV
ejpam-6967	29	21	underestimated	underestimate	VERB
ejpam-6967	29	22	in	in	ADP
ejpam-6967	29	23	quantitative	quantitative	ADJ
ejpam-6967	29	24	models	model	NOUN
ejpam-6967	29	25	[	[	X
ejpam-6967	29	26	14	14	NUM
ejpam-6967	29	27	]	]	PUNCT
ejpam-6967	29	28	,	,	PUNCT
ejpam-6967	29	29	the	the	DET
ejpam-6967	29	30	removable	removable	ADJ
ejpam-6967	29	31	media	medium	NOUN
ejpam-6967	29	32	bypass	bypass	NOUN
ejpam-6967	29	33	network	network	NOUN
ejpam-6967	29	34	security	security	NOUN
ejpam-6967	29	35	perimeters	perimeter	NOUN
ejpam-6967	29	36	,	,	PUNCT
ejpam-6967	29	37	exploiting	exploit	VERB
ejpam-6967	29	38	human	human	ADJ
ejpam-6967	29	39	factors	factor	NOUN
ejpam-6967	29	40	and	and	CCONJ
ejpam-6967	29	41	physical	physical	ADJ
ejpam-6967	29	42	access	access	NOUN
ejpam-6967	29	43	to	to	PART
ejpam-6967	29	44	initiate	initiate	VERB
ejpam-6967	29	45	outbreaks	outbreak	NOUN
ejpam-6967	29	46	that	that	PRON
ejpam-6967	29	47	can	can	AUX
ejpam-6967	29	48	then	then	ADV
ejpam-6967	29	49	propagate	propagate	VERB
ejpam-6967	29	50	through	through	ADP
ejpam-6967	29	51	digital	digital	ADJ
ejpam-6967	29	52	networks	network	NOUN
ejpam-6967	29	53	[	[	X
ejpam-6967	29	54	15	15	NUM
ejpam-6967	29	55	]	]	PUNCT
ejpam-6967	29	56	.	.	PUNCT
ejpam-6967	30	1	despite	despite	SCONJ
ejpam-6967	30	2	these	these	DET
ejpam-6967	30	3	advancements	advancement	NOUN
ejpam-6967	30	4	,	,	PUNCT
ejpam-6967	30	5	many	many	ADJ
ejpam-6967	30	6	existing	exist	VERB
ejpam-6967	30	7	models	model	NOUN
ejpam-6967	30	8	suffer	suffer	VERB
ejpam-6967	30	9	from	from	ADP
ejpam-6967	30	10	significant	significant	ADJ
ejpam-6967	30	11	limitations	limitation	NOUN
ejpam-6967	30	12	.	.	PUNCT
ejpam-6967	31	1	several	several	ADJ
ejpam-6967	31	2	studies	study	NOUN
ejpam-6967	31	3	either	either	CCONJ
ejpam-6967	31	4	omit	omit	VERB
ejpam-6967	31	5	a	a	DET
ejpam-6967	31	6	latent	latent	NOUN
ejpam-6967	31	7	compartment	compartment	NOUN
ejpam-6967	31	8	,	,	PUNCT
ejpam-6967	31	9	failing	fail	VERB
ejpam-6967	31	10	to	to	PART
ejpam-6967	31	11	account	account	VERB
ejpam-6967	31	12	for	for	ADP
ejpam-6967	31	13	the	the	DET
ejpam-6967	31	14	delay	delay	NOUN
ejpam-6967	31	15	between	between	ADP
ejpam-6967	31	16	infection	infection	NOUN
ejpam-6967	31	17	and	and	CCONJ
ejpam-6967	31	18	active	active	ADJ
ejpam-6967	31	19	transmission	transmission	NOUN
ejpam-6967	31	20	—	—	PUNCT
ejpam-6967	31	21	a	a	DET
ejpam-6967	31	22	critical	critical	ADJ
ejpam-6967	31	23	feature	feature	NOUN
ejpam-6967	31	24	of	of	ADP
ejpam-6967	31	25	stealth	stealth	ADJ
ejpam-6967	31	26	malware	malware	NOUN
ejpam-6967	31	27	—	—	PUNCT
ejpam-6967	31	28	or	or	CCONJ
ejpam-6967	31	29	neglect	neglect	VERB
ejpam-6967	31	30	the	the	DET
ejpam-6967	31	31	deactivation	deactivation	NOUN
ejpam-6967	31	32	state	state	NOUN
ejpam-6967	31	33	,	,	PUNCT
ejpam-6967	31	34	which	which	PRON
ejpam-6967	31	35	represents	represent	VERB
ejpam-6967	31	36	irrecoverably	irrecoverably	ADV
ejpam-6967	31	37	compromised	compromise	VERB
ejpam-6967	31	38	systems	system	NOUN
ejpam-6967	31	39	.	.	PUNCT
ejpam-6967	32	1	moreover	moreover	ADV
ejpam-6967	32	2	,	,	PUNCT
ejpam-6967	32	3	the	the	DET
ejpam-6967	32	4	role	role	NOUN
ejpam-6967	32	5	of	of	ADP
ejpam-6967	32	6	removable	removable	ADJ
ejpam-6967	32	7	media	medium	NOUN
ejpam-6967	32	8	is	be	AUX
ejpam-6967	32	9	often	often	ADV
ejpam-6967	32	10	oversimplified	oversimplify	VERB
ejpam-6967	32	11	,	,	PUNCT
ejpam-6967	32	12	lacking	lack	VERB
ejpam-6967	32	13	quantitative	quantitative	ADJ
ejpam-6967	32	14	integration	integration	NOUN
ejpam-6967	32	15	into	into	ADP
ejpam-6967	32	16	multi	multi	ADJ
ejpam-6967	32	17	-	-	ADJ
ejpam-6967	32	18	vector	vector	ADJ
ejpam-6967	32	19	propagation	propagation	NOUN
ejpam-6967	32	20	frameworks	framework	NOUN
ejpam-6967	32	21	.	.	PUNCT
ejpam-6967	33	1	our	our	PRON
ejpam-6967	33	2	work	work	NOUN
ejpam-6967	33	3	addresses	address	VERB
ejpam-6967	33	4	these	these	DET
ejpam-6967	33	5	gaps	gap	NOUN
ejpam-6967	33	6	by	by	ADP
ejpam-6967	33	7	proposing	propose	VERB
ejpam-6967	33	8	a	a	DET
ejpam-6967	33	9	novel	novel	ADJ
ejpam-6967	33	10	six	six	NUM
ejpam-6967	33	11	-	-	PUNCT
ejpam-6967	33	12	compartment	compartment	NOUN
ejpam-6967	33	13	slaqrd	slaqrd	NOUN
ejpam-6967	33	14	model	model	NOUN
ejpam-6967	33	15	that	that	PRON
ejpam-6967	33	16	explicitly	explicitly	ADV
ejpam-6967	33	17	includes	include	VERB
ejpam-6967	33	18	both	both	DET
ejpam-6967	33	19	latent	latent	NOUN
ejpam-6967	33	20	(	(	PUNCT
ejpam-6967	33	21	l	l	NOUN
ejpam-6967	33	22	)	)	PUNCT
ejpam-6967	33	23	and	and	CCONJ
ejpam-6967	33	24	deactivated	deactivate	VERB
ejpam-6967	33	25	(	(	PUNCT
ejpam-6967	33	26	d	d	NOUN
ejpam-6967	33	27	)	)	PUNCT
ejpam-6967	33	28	states	state	NOUN
ejpam-6967	33	29	,	,	PUNCT
ejpam-6967	33	30	and	and	CCONJ
ejpam-6967	33	31	integrates	integrate	VERB
ejpam-6967	33	32	a	a	DET
ejpam-6967	33	33	dual	dual	ADJ
ejpam-6967	33	34	-	-	PUNCT
ejpam-6967	33	35	infection	infection	NOUN
ejpam-6967	33	36	mechanism	mechanism	NOUN
ejpam-6967	33	37	combining	combine	VERB
ejpam-6967	33	38	network	network	NOUN
ejpam-6967	33	39	and	and	CCONJ
ejpam-6967	33	40	removable	removable	ADJ
ejpam-6967	33	41	media	medium	NOUN
ejpam-6967	33	42	transmission	transmission	NOUN
ejpam-6967	33	43	.	.	PUNCT
ejpam-6967	34	1	this	this	DET
ejpam-6967	34	2	approach	approach	NOUN
ejpam-6967	34	3	provides	provide	VERB
ejpam-6967	34	4	a	a	DET
ejpam-6967	34	5	more	more	ADV
ejpam-6967	34	6	realistic	realistic	ADJ
ejpam-6967	34	7	and	and	CCONJ
ejpam-6967	34	8	comprehensive	comprehensive	ADJ
ejpam-6967	34	9	foundation	foundation	NOUN
ejpam-6967	34	10	for	for	ADP
ejpam-6967	34	11	analyzing	analyze	VERB
ejpam-6967	34	12	cyber	cyber	NOUN
ejpam-6967	34	13	outbreak	outbreak	NOUN
ejpam-6967	34	14	dynamics	dynamic	NOUN
ejpam-6967	34	15	and	and	CCONJ
ejpam-6967	34	16	evaluating	evaluate	VERB
ejpam-6967	34	17	intervention	intervention	NOUN
ejpam-6967	34	18	strategies	strategy	NOUN
ejpam-6967	34	19	,	,	PUNCT
ejpam-6967	34	20	as	as	SCONJ
ejpam-6967	34	21	supported	support	VERB
ejpam-6967	34	22	by	by	ADP
ejpam-6967	34	23	recent	recent	ADJ
ejpam-6967	34	24	studies	study	NOUN
ejpam-6967	34	25	in	in	ADP
ejpam-6967	34	26	the	the	DET
ejpam-6967	34	27	field	field	NOUN
ejpam-6967	34	28	[	[	X
ejpam-6967	34	29	16–18	16–18	NUM
ejpam-6967	34	30	]	]	PUNCT
ejpam-6967	34	31	.	.	PUNCT
ejpam-6967	35	1	while	while	SCONJ
ejpam-6967	35	2	several	several	ADJ
ejpam-6967	35	3	studies	study	NOUN
ejpam-6967	35	4	have	have	AUX
ejpam-6967	35	5	incorporated	incorporate	VERB
ejpam-6967	35	6	removable	removable	ADJ
ejpam-6967	35	7	media	medium	NOUN
ejpam-6967	35	8	into	into	ADP
ejpam-6967	35	9	their	their	PRON
ejpam-6967	35	10	models	model	NOUN
ejpam-6967	35	11	[	[	X
ejpam-6967	35	12	19	19	NUM
ejpam-6967	35	13	,	,	PUNCT
ejpam-6967	35	14	20	20	NUM
ejpam-6967	35	15	]	]	PUNCT
ejpam-6967	35	16	,	,	PUNCT
ejpam-6967	35	17	many	many	ADJ
ejpam-6967	35	18	remain	remain	VERB
ejpam-6967	35	19	limited	limited	ADJ
ejpam-6967	35	20	by	by	ADP
ejpam-6967	35	21	simplifying	simplify	VERB
ejpam-6967	35	22	assumptions	assumption	NOUN
ejpam-6967	35	23	.	.	PUNCT
ejpam-6967	36	1	some	some	DET
ejpam-6967	36	2	models	model	NOUN
ejpam-6967	36	3	lack	lack	VERB
ejpam-6967	36	4	a	a	DET
ejpam-6967	36	5	latent	latent	NOUN
ejpam-6967	36	6	compartment	compartment	NOUN
ejpam-6967	36	7	[	[	X
ejpam-6967	36	8	21	21	NUM
ejpam-6967	36	9	]	]	PUNCT
ejpam-6967	36	10	,	,	PUNCT
ejpam-6967	36	11	failing	fail	VERB
ejpam-6967	36	12	to	to	PART
ejpam-6967	36	13	account	account	VERB
ejpam-6967	36	14	for	for	ADP
ejpam-6967	36	15	the	the	DET
ejpam-6967	36	16	period	period	NOUN
ejpam-6967	36	17	between	between	ADP
ejpam-6967	36	18	infection	infection	NOUN
ejpam-6967	36	19	and	and	CCONJ
ejpam-6967	36	20	the	the	DET
ejpam-6967	36	21	onset	onset	NOUN
ejpam-6967	36	22	of	of	ADP
ejpam-6967	36	23	infectious	infectious	ADJ
ejpam-6967	36	24	activity	activity	NOUN
ejpam-6967	36	25	,	,	PUNCT
ejpam-6967	36	26	which	which	PRON
ejpam-6967	36	27	is	be	AUX
ejpam-6967	36	28	crucial	crucial	ADJ
ejpam-6967	36	29	for	for	ADP
ejpam-6967	36	30	stealthy	stealthy	ADJ
ejpam-6967	36	31	malware	malware	NOUN
ejpam-6967	36	32	.	.	PUNCT
ejpam-6967	37	1	recent	recent	ADJ
ejpam-6967	37	2	studies	study	NOUN
ejpam-6967	37	3	have	have	AUX
ejpam-6967	37	4	further	far	ADV
ejpam-6967	37	5	enriched	enrich	VERB
ejpam-6967	37	6	the	the	DET
ejpam-6967	37	7	field	field	NOUN
ejpam-6967	37	8	by	by	ADP
ejpam-6967	37	9	exploring	explore	VERB
ejpam-6967	37	10	advanced	advanced	ADJ
ejpam-6967	37	11	modeling	modeling	NOUN
ejpam-6967	37	12	techniques	technique	NOUN
ejpam-6967	37	13	and	and	CCONJ
ejpam-6967	37	14	control	control	NOUN
ejpam-6967	37	15	strategies	strategy	NOUN
ejpam-6967	37	16	.	.	PUNCT
ejpam-6967	38	1	for	for	ADP
ejpam-6967	38	2	instance	instance	NOUN
ejpam-6967	38	3	,	,	PUNCT
ejpam-6967	38	4	optimal	optimal	ADJ
ejpam-6967	38	5	control	control	NOUN
ejpam-6967	38	6	approaches	approach	NOUN
ejpam-6967	38	7	have	have	AUX
ejpam-6967	38	8	been	be	AUX
ejpam-6967	38	9	applied	apply	VERB
ejpam-6967	38	10	to	to	ADP
ejpam-6967	38	11	malware	malware	NOUN
ejpam-6967	38	12	propagation	propagation	NOUN
ejpam-6967	38	13	models	model	NOUN
ejpam-6967	38	14	to	to	PART
ejpam-6967	38	15	minimize	minimize	VERB
ejpam-6967	38	16	infection	infection	NOUN
ejpam-6967	38	17	impact	impact	NOUN
ejpam-6967	38	18	through	through	ADP
ejpam-6967	38	19	dynamic	dynamic	ADJ
ejpam-6967	38	20	resource	resource	NOUN
ejpam-6967	38	21	allocation	allocation	NOUN
ejpam-6967	38	22	which	which	PRON
ejpam-6967	38	23	is	be	AUX
ejpam-6967	38	24	used	use	VERB
ejpam-6967	38	25	in	in	ADP
ejpam-6967	38	26	many	many	ADJ
ejpam-6967	38	27	articles	article	NOUN
ejpam-6967	38	28	like	like	ADP
ejpam-6967	38	29	[	[	PUNCT
ejpam-6967	38	30	22–26].these	22–26].these	NUM
ejpam-6967	38	31	contributions	contribution	NOUN
ejpam-6967	38	32	collectively	collectively	ADV
ejpam-6967	38	33	underscore	underscore	VERB
ejpam-6967	38	34	the	the	DET
ejpam-6967	38	35	evolving	evolve	VERB
ejpam-6967	38	36	complexity	complexity	NOUN
ejpam-6967	38	37	of	of	ADP
ejpam-6967	38	38	cyber	cyber	ADJ
ejpam-6967	38	39	threat	threat	NOUN
ejpam-6967	38	40	modeling	modeling	NOUN
ejpam-6967	38	41	and	and	CCONJ
ejpam-6967	38	42	the	the	DET
ejpam-6967	38	43	importance	importance	NOUN
ejpam-6967	38	44	of	of	ADP
ejpam-6967	38	45	adaptive	adaptive	ADJ
ejpam-6967	38	46	,	,	PUNCT
ejpam-6967	38	47	mathematically	mathematically	ADV
ejpam-6967	38	48	-	-	PUNCT
ejpam-6967	38	49	grounded	ground	VERB
ejpam-6967	38	50	intervention	intervention	NOUN
ejpam-6967	38	51	strategies	strategy	NOUN
ejpam-6967	38	52	.	.	PUNCT
ejpam-6967	39	1	recent	recent	ADJ
ejpam-6967	39	2	models	model	NOUN
ejpam-6967	39	3	continue	continue	VERB
ejpam-6967	39	4	to	to	PART
ejpam-6967	39	5	refine	refine	VERB
ejpam-6967	39	6	epidemiological	epidemiological	ADJ
ejpam-6967	39	7	approaches	approach	NOUN
ejpam-6967	39	8	to	to	ADP
ejpam-6967	39	9	malware	malware	NOUN
ejpam-6967	39	10	propagation	propagation	NOUN
ejpam-6967	39	11	.	.	PUNCT
ejpam-6967	40	1	for	for	ADP
ejpam-6967	40	2	instance	instance	NOUN
ejpam-6967	40	3	,	,	PUNCT
ejpam-6967	40	4	prakash	prakash	PROPN
ejpam-6967	41	1	[	[	X
ejpam-6967	41	2	27	27	NUM
ejpam-6967	41	3	]	]	PUNCT
ejpam-6967	41	4	provided	provide	VERB
ejpam-6967	41	5	a	a	DET
ejpam-6967	41	6	comprehensive	comprehensive	ADJ
ejpam-6967	41	7	review	review	NOUN
ejpam-6967	41	8	of	of	ADP
ejpam-6967	41	9	contemporary	contemporary	ADJ
ejpam-6967	41	10	models	model	NOUN
ejpam-6967	41	11	but	but	CCONJ
ejpam-6967	41	12	highlighted	highlight	VERB
ejpam-6967	41	13	a	a	DET
ejpam-6967	41	14	persistent	persistent	ADJ
ejpam-6967	41	15	gap	gap	NOUN
ejpam-6967	41	16	in	in	ADP
ejpam-6967	41	17	quantitatively	quantitatively	ADV
ejpam-6967	41	18	integrating	integrate	VERB
ejpam-6967	41	19	removable	removable	ADJ
ejpam-6967	41	20	media	medium	NOUN
ejpam-6967	41	21	.	.	PUNCT
ejpam-6967	42	1	chen	chen	PROPN
ejpam-6967	42	2	et	et	PROPN
ejpam-6967	42	3	al	al	PROPN
ejpam-6967	42	4	.	.	PROPN
ejpam-6967	42	5	g.	g.	PROPN
ejpam-6967	42	6	ali	ali	PROPN
ejpam-6967	42	7	et	et	PROPN
ejpam-6967	42	8	al	al	PROPN
ejpam-6967	42	9	.	.	PUNCT
ejpam-6967	42	10	/	/	SYM
ejpam-6967	42	11	eur	eur	PROPN
ejpam-6967	42	12	.	.	PUNCT
ejpam-6967	43	1	j.	j.	PROPN
ejpam-6967	43	2	pure	pure	PROPN
ejpam-6967	43	3	appl	appl	PROPN
ejpam-6967	43	4	.	.	PROPN
ejpam-6967	43	5	math	math	PROPN
ejpam-6967	43	6	,	,	PUNCT
ejpam-6967	43	7	18	18	NUM
ejpam-6967	43	8	(	(	PUNCT
ejpam-6967	43	9	4	4	NUM
ejpam-6967	43	10	)	)	PUNCT
ejpam-6967	43	11	(	(	PUNCT
ejpam-6967	43	12	2025	2025	NUM
ejpam-6967	43	13	)	)	PUNCT
ejpam-6967	43	14	,	,	PUNCT
ejpam-6967	43	15	6967	6967	NUM
ejpam-6967	43	16	3	3	NUM
ejpam-6967	43	17	of	of	ADP
ejpam-6967	43	18	29	29	NUM
ejpam-6967	44	1	[	[	SYM
ejpam-6967	44	2	28	28	NUM
ejpam-6967	44	3	]	]	PUNCT
ejpam-6967	44	4	developed	develop	VERB
ejpam-6967	44	5	a	a	DET
ejpam-6967	44	6	sophisticated	sophisticated	ADJ
ejpam-6967	44	7	model	model	NOUN
ejpam-6967	44	8	for	for	ADP
ejpam-6967	44	9	iot	iot	NOUN
ejpam-6967	44	10	networks	network	NOUN
ejpam-6967	44	11	but	but	CCONJ
ejpam-6967	44	12	also	also	ADV
ejpam-6967	44	13	omitted	omit	VERB
ejpam-6967	44	14	the	the	DET
ejpam-6967	44	15	removable	removable	ADJ
ejpam-6967	44	16	media	medium	NOUN
ejpam-6967	44	17	vector	vector	NOUN
ejpam-6967	44	18	.	.	PUNCT
ejpam-6967	45	1	the	the	DET
ejpam-6967	45	2	slaqrd	slaqrd	PROPN
ejpam-6967	45	3	model	model	NOUN
ejpam-6967	45	4	advances	advance	VERB
ejpam-6967	45	5	these	these	DET
ejpam-6967	45	6	efforts	effort	NOUN
ejpam-6967	45	7	by	by	ADP
ejpam-6967	45	8	unifying	unify	VERB
ejpam-6967	45	9	network	network	NOUN
ejpam-6967	45	10	and	and	CCONJ
ejpam-6967	45	11	removable	removable	ADJ
ejpam-6967	45	12	media	medium	NOUN
ejpam-6967	45	13	infection	infection	NOUN
ejpam-6967	45	14	routes	route	NOUN
ejpam-6967	45	15	within	within	ADP
ejpam-6967	45	16	a	a	DET
ejpam-6967	45	17	single	single	ADJ
ejpam-6967	45	18	framework	framework	NOUN
ejpam-6967	45	19	,	,	PUNCT
ejpam-6967	45	20	while	while	SCONJ
ejpam-6967	45	21	explicitly	explicitly	ADV
ejpam-6967	45	22	including	include	VERB
ejpam-6967	45	23	a	a	DET
ejpam-6967	45	24	latent	latent	NOUN
ejpam-6967	45	25	(	(	PUNCT
ejpam-6967	45	26	l	l	NOUN
ejpam-6967	45	27	)	)	PUNCT
ejpam-6967	45	28	compartment	compartment	NOUN
ejpam-6967	45	29	.	.	PUNCT
ejpam-6967	46	1	this	this	DET
ejpam-6967	46	2	combination	combination	NOUN
ejpam-6967	46	3	allows	allow	VERB
ejpam-6967	46	4	for	for	ADP
ejpam-6967	46	5	a	a	DET
ejpam-6967	46	6	more	more	ADV
ejpam-6967	46	7	realistic	realistic	ADJ
ejpam-6967	46	8	representation	representation	NOUN
ejpam-6967	46	9	of	of	ADP
ejpam-6967	46	10	stealth	stealth	ADJ
ejpam-6967	46	11	malware	malware	NOUN
ejpam-6967	46	12	behavior	behavior	NOUN
ejpam-6967	46	13	and	and	CCONJ
ejpam-6967	46	14	provides	provide	VERB
ejpam-6967	46	15	a	a	DET
ejpam-6967	46	16	fuller	full	ADJ
ejpam-6967	46	17	quantitative	quantitative	ADJ
ejpam-6967	46	18	basis	basis	NOUN
ejpam-6967	46	19	for	for	ADP
ejpam-6967	46	20	evaluating	evaluate	VERB
ejpam-6967	46	21	multi	multi	ADJ
ejpam-6967	46	22	-	-	ADJ
ejpam-6967	46	23	vector	vector	ADJ
ejpam-6967	46	24	outbreak	outbreak	NOUN
ejpam-6967	46	25	scenarios	scenario	NOUN
ejpam-6967	46	26	and	and	CCONJ
ejpam-6967	46	27	control	control	NOUN
ejpam-6967	46	28	strategies	strategy	NOUN
ejpam-6967	46	29	,	,	PUNCT
ejpam-6967	46	30	addressing	address	VERB
ejpam-6967	46	31	a	a	DET
ejpam-6967	46	32	key	key	ADJ
ejpam-6967	46	33	limitation	limitation	NOUN
ejpam-6967	46	34	in	in	ADP
ejpam-6967	46	35	recent	recent	ADJ
ejpam-6967	46	36	literature	literature	NOUN
ejpam-6967	46	37	.	.	PUNCT
ejpam-6967	47	1	to	to	PART
ejpam-6967	47	2	address	address	VERB
ejpam-6967	47	3	this	this	DET
ejpam-6967	47	4	research	research	NOUN
ejpam-6967	47	5	gap	gap	NOUN
ejpam-6967	47	6	,	,	PUNCT
ejpam-6967	47	7	this	this	DET
ejpam-6967	47	8	paper	paper	NOUN
ejpam-6967	47	9	proposes	propose	VERB
ejpam-6967	47	10	a	a	DET
ejpam-6967	47	11	novel	novel	ADJ
ejpam-6967	47	12	compartmental	compartmental	ADJ
ejpam-6967	47	13	model	model	NOUN
ejpam-6967	47	14	to	to	PART
ejpam-6967	47	15	investigate	investigate	VERB
ejpam-6967	47	16	the	the	DET
ejpam-6967	47	17	spread	spread	NOUN
ejpam-6967	47	18	of	of	ADP
ejpam-6967	47	19	computer	computer	NOUN
ejpam-6967	47	20	viruses	virus	NOUN
ejpam-6967	47	21	that	that	PRON
ejpam-6967	47	22	incorporates	incorporate	VERB
ejpam-6967	47	23	both	both	CCONJ
ejpam-6967	47	24	network	network	NOUN
ejpam-6967	47	25	-	-	PUNCT
ejpam-6967	47	26	based	base	VERB
ejpam-6967	47	27	transmission	transmission	NOUN
ejpam-6967	47	28	and	and	CCONJ
ejpam-6967	47	29	infection	infection	NOUN
ejpam-6967	47	30	via	via	ADP
ejpam-6967	47	31	removable	removable	ADJ
ejpam-6967	47	32	media	medium	NOUN
ejpam-6967	47	33	.	.	PUNCT
ejpam-6967	48	1	the	the	DET
ejpam-6967	48	2	total	total	ADJ
ejpam-6967	48	3	population	population	NOUN
ejpam-6967	48	4	of	of	ADP
ejpam-6967	48	5	internal	internal	ADJ
ejpam-6967	48	6	computers	computer	NOUN
ejpam-6967	48	7	is	be	AUX
ejpam-6967	48	8	divided	divide	VERB
ejpam-6967	48	9	into	into	ADP
ejpam-6967	48	10	six	six	NUM
ejpam-6967	48	11	distinct	distinct	ADJ
ejpam-6967	48	12	compartments	compartment	NOUN
ejpam-6967	48	13	:	:	PUNCT
ejpam-6967	48	14	susceptible	susceptible	ADJ
ejpam-6967	48	15	(	(	PUNCT
ejpam-6967	48	16	s	s	NOUN
ejpam-6967	48	17	)	)	PUNCT
ejpam-6967	48	18	,	,	PUNCT
ejpam-6967	48	19	latent	latent	NOUN
ejpam-6967	48	20	(	(	PUNCT
ejpam-6967	48	21	l	l	NOUN
ejpam-6967	48	22	)	)	PUNCT
ejpam-6967	48	23	,	,	PUNCT
ejpam-6967	48	24	active	active	ADJ
ejpam-6967	48	25	(	(	PUNCT
ejpam-6967	48	26	a	a	NOUN
ejpam-6967	48	27	)	)	PUNCT
ejpam-6967	48	28	,	,	PUNCT
ejpam-6967	48	29	quarantined	quarantine	VERB
ejpam-6967	48	30	(	(	PUNCT
ejpam-6967	48	31	q	q	NOUN
ejpam-6967	48	32	)	)	PUNCT
ejpam-6967	48	33	,	,	PUNCT
ejpam-6967	48	34	recovered	recover	VERB
ejpam-6967	48	35	(	(	PUNCT
ejpam-6967	48	36	r	r	NOUN
ejpam-6967	48	37	)	)	PUNCT
ejpam-6967	48	38	,	,	PUNCT
ejpam-6967	48	39	and	and	CCONJ
ejpam-6967	48	40	deactivated	deactivate	VERB
ejpam-6967	48	41	(	(	PUNCT
ejpam-6967	48	42	d	d	X
ejpam-6967	48	43	)	)	PUNCT
ejpam-6967	48	44	an	an	DET
ejpam-6967	48	45	slaqrd	slaqrd	NOUN
ejpam-6967	48	46	model	model	NOUN
ejpam-6967	48	47	.	.	PUNCT
ejpam-6967	49	1	the	the	DET
ejpam-6967	49	2	key	key	ADJ
ejpam-6967	49	3	contributions	contribution	NOUN
ejpam-6967	49	4	of	of	ADP
ejpam-6967	49	5	this	this	DET
ejpam-6967	49	6	work	work	NOUN
ejpam-6967	49	7	are	be	AUX
ejpam-6967	49	8	fourfold	fourfold	ADJ
ejpam-6967	49	9	:	:	PUNCT
ejpam-6967	49	10	the	the	DET
ejpam-6967	49	11	formulation	formulation	NOUN
ejpam-6967	49	12	of	of	ADP
ejpam-6967	49	13	a	a	DET
ejpam-6967	49	14	mathematically	mathematically	ADV
ejpam-6967	49	15	rigorous	rigorous	ADJ
ejpam-6967	49	16	model	model	NOUN
ejpam-6967	49	17	that	that	PRON
ejpam-6967	49	18	synthesizes	synthesize	VERB
ejpam-6967	49	19	multiple	multiple	ADJ
ejpam-6967	49	20	infection	infection	NOUN
ejpam-6967	49	21	vectors	vector	NOUN
ejpam-6967	49	22	and	and	CCONJ
ejpam-6967	49	23	intervention	intervention	NOUN
ejpam-6967	49	24	strategies	strategy	NOUN
ejpam-6967	49	25	.	.	PUNCT
ejpam-6967	50	1	the	the	DET
ejpam-6967	50	2	derivation	derivation	NOUN
ejpam-6967	50	3	of	of	ADP
ejpam-6967	50	4	the	the	DET
ejpam-6967	50	5	basic	basic	ADJ
ejpam-6967	50	6	reproduction	reproduction	NOUN
ejpam-6967	50	7	number	number	NOUN
ejpam-6967	50	8	(	(	PUNCT
ejpam-6967	50	9	r0	r0	NOUN
ejpam-6967	50	10	)	)	PUNCT
ejpam-6967	50	11	,	,	PUNCT
ejpam-6967	50	12	a	a	DET
ejpam-6967	50	13	threshold	threshold	NOUN
ejpam-6967	50	14	parameter	parameter	NOUN
ejpam-6967	50	15	that	that	PRON
ejpam-6967	50	16	determines	determine	VERB
ejpam-6967	50	17	whether	whether	SCONJ
ejpam-6967	50	18	the	the	DET
ejpam-6967	50	19	virus	virus	NOUN
ejpam-6967	50	20	dies	die	VERB
ejpam-6967	50	21	out	out	ADV
ejpam-6967	50	22	or	or	CCONJ
ejpam-6967	50	23	persists	persist	VERB
ejpam-6967	50	24	within	within	ADP
ejpam-6967	50	25	the	the	DET
ejpam-6967	50	26	network	network	NOUN
ejpam-6967	50	27	.	.	PUNCT
ejpam-6967	51	1	a	a	DET
ejpam-6967	51	2	comprehensive	comprehensive	ADJ
ejpam-6967	51	3	stability	stability	NOUN
ejpam-6967	51	4	analysis	analysis	NOUN
ejpam-6967	51	5	of	of	ADP
ejpam-6967	51	6	the	the	DET
ejpam-6967	51	7	disease	disease	NOUN
ejpam-6967	51	8	-	-	PUNCT
ejpam-6967	51	9	free	free	ADJ
ejpam-6967	51	10	equilibrium	equilibrium	NOUN
ejpam-6967	51	11	,	,	PUNCT
ejpam-6967	51	12	establishing	establish	VERB
ejpam-6967	51	13	the	the	DET
ejpam-6967	51	14	conditions	condition	NOUN
ejpam-6967	51	15	for	for	ADP
ejpam-6967	51	16	global	global	ADJ
ejpam-6967	51	17	stability	stability	NOUN
ejpam-6967	51	18	using	use	VERB
ejpam-6967	51	19	the	the	DET
ejpam-6967	51	20	lyapunov	lyapunov	ADJ
ejpam-6967	51	21	method	method	NOUN
ejpam-6967	51	22	.	.	PUNCT
ejpam-6967	52	1	a	a	DET
ejpam-6967	52	2	detailed	detailed	ADJ
ejpam-6967	52	3	sensitivity	sensitivity	NOUN
ejpam-6967	52	4	analysis	analysis	NOUN
ejpam-6967	52	5	of	of	ADP
ejpam-6967	52	6	r0	r0	NOUN
ejpam-6967	52	7	to	to	PART
ejpam-6967	52	8	identify	identify	VERB
ejpam-6967	52	9	the	the	DET
ejpam-6967	52	10	parameters	parameter	NOUN
ejpam-6967	52	11	with	with	ADP
ejpam-6967	52	12	the	the	DET
ejpam-6967	52	13	most	most	ADV
ejpam-6967	52	14	significant	significant	ADJ
ejpam-6967	52	15	influence	influence	NOUN
ejpam-6967	52	16	on	on	ADP
ejpam-6967	52	17	virus	virus	NOUN
ejpam-6967	52	18	spread	spread	VERB
ejpam-6967	52	19	,	,	PUNCT
ejpam-6967	52	20	providing	provide	VERB
ejpam-6967	52	21	actionable	actionable	ADJ
ejpam-6967	52	22	insights	insight	NOUN
ejpam-6967	52	23	for	for	ADP
ejpam-6967	52	24	cybersecurity	cybersecurity	NOUN
ejpam-6967	52	25	policy	policy	NOUN
ejpam-6967	52	26	.	.	PUNCT
ejpam-6967	53	1	model	model	NOUN
ejpam-6967	53	2	formulation	formulation	NOUN
ejpam-6967	53	3	we	we	PRON
ejpam-6967	53	4	propose	propose	VERB
ejpam-6967	53	5	a	a	DET
ejpam-6967	53	6	compartmental	compartmental	ADJ
ejpam-6967	53	7	model	model	NOUN
ejpam-6967	53	8	to	to	PART
ejpam-6967	53	9	investigate	investigate	VERB
ejpam-6967	53	10	the	the	DET
ejpam-6967	53	11	spread	spread	NOUN
ejpam-6967	53	12	of	of	ADP
ejpam-6967	53	13	computer	computer	NOUN
ejpam-6967	53	14	viruses	virus	NOUN
ejpam-6967	53	15	considering	consider	VERB
ejpam-6967	53	16	both	both	CCONJ
ejpam-6967	53	17	network	network	NOUN
ejpam-6967	53	18	-	-	PUNCT
ejpam-6967	53	19	based	base	VERB
ejpam-6967	53	20	transmission	transmission	NOUN
ejpam-6967	53	21	and	and	CCONJ
ejpam-6967	53	22	removable	removable	ADJ
ejpam-6967	53	23	media	medium	NOUN
ejpam-6967	53	24	.	.	PUNCT
ejpam-6967	54	1	the	the	DET
ejpam-6967	54	2	total	total	ADJ
ejpam-6967	54	3	population	population	NOUN
ejpam-6967	54	4	of	of	ADP
ejpam-6967	54	5	internal	internal	ADJ
ejpam-6967	54	6	computers	computer	NOUN
ejpam-6967	54	7	is	be	AUX
ejpam-6967	54	8	divided	divide	VERB
ejpam-6967	54	9	into	into	ADP
ejpam-6967	54	10	six	six	NUM
ejpam-6967	54	11	distinct	distinct	ADJ
ejpam-6967	54	12	compartments	compartment	NOUN
ejpam-6967	54	13	:	:	PUNCT
ejpam-6967	54	14	susceptible	susceptible	ADJ
ejpam-6967	54	15	(	(	PUNCT
ejpam-6967	54	16	s	s	NOUN
ejpam-6967	54	17	)	)	PUNCT
ejpam-6967	54	18	,	,	PUNCT
ejpam-6967	54	19	latent	latent	NOUN
ejpam-6967	54	20	(	(	PUNCT
ejpam-6967	54	21	l	l	NOUN
ejpam-6967	54	22	)	)	PUNCT
ejpam-6967	54	23	,	,	PUNCT
ejpam-6967	54	24	active	active	ADJ
ejpam-6967	54	25	(	(	PUNCT
ejpam-6967	54	26	a	a	NOUN
ejpam-6967	54	27	)	)	PUNCT
ejpam-6967	54	28	,	,	PUNCT
ejpam-6967	54	29	quarantined	quarantine	VERB
ejpam-6967	54	30	(	(	PUNCT
ejpam-6967	54	31	q	q	NOUN
ejpam-6967	54	32	)	)	PUNCT
ejpam-6967	54	33	,	,	PUNCT
ejpam-6967	54	34	recovered	recover	VERB
ejpam-6967	54	35	(	(	PUNCT
ejpam-6967	54	36	r	r	NOUN
ejpam-6967	54	37	)	)	PUNCT
ejpam-6967	54	38	,	,	PUNCT
ejpam-6967	54	39	and	and	CCONJ
ejpam-6967	54	40	deactivated	deactivate	VERB
ejpam-6967	54	41	(	(	PUNCT
ejpam-6967	54	42	d	d	NOUN
ejpam-6967	54	43	)	)	PUNCT
ejpam-6967	54	44	.	.	PUNCT
ejpam-6967	55	1	the	the	DET
ejpam-6967	55	2	population	population	NOUN
ejpam-6967	55	3	is	be	AUX
ejpam-6967	55	4	assumed	assume	VERB
ejpam-6967	55	5	to	to	PART
ejpam-6967	55	6	be	be	AUX
ejpam-6967	55	7	constant	constant	ADJ
ejpam-6967	55	8	over	over	ADP
ejpam-6967	55	9	time	time	NOUN
ejpam-6967	55	10	,	,	PUNCT
ejpam-6967	55	11	with	with	ADP
ejpam-6967	55	12	inflow	inflow	NOUN
ejpam-6967	55	13	from	from	ADP
ejpam-6967	55	14	new	new	ADJ
ejpam-6967	55	15	systems	system	NOUN
ejpam-6967	55	16	and	and	CCONJ
ejpam-6967	55	17	outflow	outflow	NOUN
ejpam-6967	55	18	due	due	ADP
ejpam-6967	55	19	to	to	ADP
ejpam-6967	55	20	natural	natural	ADJ
ejpam-6967	55	21	disconnection	disconnection	NOUN
ejpam-6967	55	22	.	.	PUNCT
ejpam-6967	56	1	ds	ds	ADJ
ejpam-6967	56	2	dt	dt	NOUN
ejpam-6967	56	3	=	=	SYM
ejpam-6967	56	4	λ−	λ−	PROPN
ejpam-6967	56	5	β1sa−	β1sa−	SYM
ejpam-6967	56	6	β2sl−	β2sl−	PROPN
ejpam-6967	56	7	γs	γs	X
ejpam-6967	56	8	−	−	NOUN
ejpam-6967	56	9	µs	µs	NOUN
ejpam-6967	56	10	,	,	PUNCT
ejpam-6967	56	11	dl	dl	PROPN
ejpam-6967	56	12	dt	dt	PROPN
ejpam-6967	56	13	=	=	PUNCT
ejpam-6967	56	14	β1sa+	β1sa+	PROPN
ejpam-6967	56	15	β2sl+	β2sl+	PRON
ejpam-6967	56	16	γs	γs	X
ejpam-6967	56	17	−	−	PROPN
ejpam-6967	56	18	σl−	σl−	PROPN
ejpam-6967	56	19	µl−	µl−	SYM
ejpam-6967	56	20	αl	αl	ADP
ejpam-6967	56	21	,	,	PUNCT
ejpam-6967	56	22	da	da	NOUN
ejpam-6967	56	23	dt	dt	NOUN
ejpam-6967	56	24	=	=	SYM
ejpam-6967	56	25	σl−	σl−	PROPN
ejpam-6967	56	26	θa−	θa−	PUNCT
ejpam-6967	56	27	δa−	δa−	NUM
ejpam-6967	56	28	µa−	µa−	PROPN
ejpam-6967	56	29	ηa	ηa	PROPN
ejpam-6967	56	30	,	,	PUNCT
ejpam-6967	56	31	(	(	PUNCT
ejpam-6967	56	32	1	1	X
ejpam-6967	56	33	)	)	PUNCT
ejpam-6967	56	34	dq	dq	NOUN
ejpam-6967	56	35	dt	dt	NOUN
ejpam-6967	56	36	=	=	SYM
ejpam-6967	56	37	θa−	θa−	PROPN
ejpam-6967	56	38	ξq−	ξq−	NUM
ejpam-6967	56	39	µq	µq	PROPN
ejpam-6967	56	40	,	,	PUNCT
ejpam-6967	56	41	dr	dr	PROPN
ejpam-6967	56	42	dt	dt	NOUN
ejpam-6967	56	43	=	=	PUNCT
ejpam-6967	56	44	δa+	δa+	NOUN
ejpam-6967	56	45	ξq−	ξq−	NUM
ejpam-6967	56	46	µr	µr	ADP
ejpam-6967	56	47	,	,	PUNCT
ejpam-6967	56	48	dd	dd	NOUN
ejpam-6967	56	49	dt	dt	NOUN
ejpam-6967	56	50	=	=	SYM
ejpam-6967	56	51	αl+	αl+	PROPN
ejpam-6967	56	52	ηa−	ηa−	PROPN
ejpam-6967	56	53	µd	µd	ADP
ejpam-6967	56	54	.	.	PUNCT
ejpam-6967	57	1	g.	g.	PROPN
ejpam-6967	57	2	ali	ali	PROPN
ejpam-6967	57	3	et	et	PROPN
ejpam-6967	57	4	al	al	PROPN
ejpam-6967	57	5	.	.	PUNCT
ejpam-6967	57	6	/	/	SYM
ejpam-6967	57	7	eur	eur	PROPN
ejpam-6967	57	8	.	.	PUNCT
ejpam-6967	58	1	j.	j.	PROPN
ejpam-6967	58	2	pure	pure	PROPN
ejpam-6967	58	3	appl	appl	PROPN
ejpam-6967	58	4	.	.	PROPN
ejpam-6967	58	5	math	math	PROPN
ejpam-6967	58	6	,	,	PUNCT
ejpam-6967	58	7	18	18	NUM
ejpam-6967	58	8	(	(	PUNCT
ejpam-6967	58	9	4	4	NUM
ejpam-6967	58	10	)	)	PUNCT
ejpam-6967	58	11	(	(	PUNCT
ejpam-6967	58	12	2025	2025	NUM
ejpam-6967	58	13	)	)	PUNCT
ejpam-6967	58	14	,	,	PUNCT
ejpam-6967	58	15	6967	6967	NUM
ejpam-6967	58	16	4	4	NUM
ejpam-6967	58	17	of	of	ADP
ejpam-6967	58	18	29	29	NUM
ejpam-6967	58	19	parameter	parameter	NOUN
ejpam-6967	58	20	description	description	NOUN
ejpam-6967	58	21	s(t	s(t	PROPN
ejpam-6967	58	22	)	)	PUNCT
ejpam-6967	58	23	number	number	NOUN
ejpam-6967	58	24	of	of	ADP
ejpam-6967	58	25	uninfected	uninfected	ADJ
ejpam-6967	58	26	(	(	PUNCT
ejpam-6967	58	27	susceptible	susceptible	ADJ
ejpam-6967	58	28	)	)	PUNCT
ejpam-6967	58	29	computers	computer	NOUN
ejpam-6967	58	30	at	at	ADP
ejpam-6967	58	31	time	time	NOUN
ejpam-6967	58	32	t	t	PROPN
ejpam-6967	58	33	l(t	l(t	PROPN
ejpam-6967	58	34	)	)	PUNCT
ejpam-6967	58	35	number	number	NOUN
ejpam-6967	58	36	of	of	ADP
ejpam-6967	58	37	latently	latently	ADV
ejpam-6967	58	38	infected	infect	VERB
ejpam-6967	58	39	computers	computer	NOUN
ejpam-6967	58	40	(	(	PUNCT
ejpam-6967	58	41	not	not	PART
ejpam-6967	58	42	yet	yet	ADV
ejpam-6967	58	43	spreading	spread	VERB
ejpam-6967	58	44	)	)	PUNCT
ejpam-6967	58	45	a(t	a(t	NOUN
ejpam-6967	58	46	)	)	PUNCT
ejpam-6967	58	47	number	number	NOUN
ejpam-6967	58	48	of	of	ADP
ejpam-6967	58	49	actively	actively	ADV
ejpam-6967	58	50	infected	infected	ADJ
ejpam-6967	58	51	computers	computer	NOUN
ejpam-6967	58	52	(	(	PUNCT
ejpam-6967	58	53	spreading	spread	VERB
ejpam-6967	58	54	virus	virus	NOUN
ejpam-6967	58	55	)	)	PUNCT
ejpam-6967	58	56	q(t	q(t	ADJ
ejpam-6967	58	57	)	)	PUNCT
ejpam-6967	58	58	number	number	NOUN
ejpam-6967	58	59	of	of	ADP
ejpam-6967	58	60	quarantined	quarantine	VERB
ejpam-6967	58	61	computers	computer	NOUN
ejpam-6967	58	62	(	(	PUNCT
ejpam-6967	58	63	isolated	isolate	VERB
ejpam-6967	58	64	/	/	SYM
ejpam-6967	58	65	detected	detected	ADJ
ejpam-6967	58	66	)	)	PUNCT
ejpam-6967	58	67	r(t	r(t	NOUN
ejpam-6967	58	68	)	)	PUNCT
ejpam-6967	58	69	number	number	NOUN
ejpam-6967	58	70	of	of	ADP
ejpam-6967	58	71	recovered	recovered	ADJ
ejpam-6967	58	72	(	(	PUNCT
ejpam-6967	58	73	cleaned	clean	VERB
ejpam-6967	58	74	)	)	PUNCT
ejpam-6967	58	75	systems	system	NOUN
ejpam-6967	58	76	d(t	d(t	PROPN
ejpam-6967	58	77	)	)	PUNCT
ejpam-6967	58	78	number	number	NOUN
ejpam-6967	58	79	of	of	ADP
ejpam-6967	58	80	deactivated	deactivated	ADJ
ejpam-6967	58	81	computers	computer	NOUN
ejpam-6967	58	82	(	(	PUNCT
ejpam-6967	58	83	removed	remove	VERB
ejpam-6967	58	84	/	/	SYM
ejpam-6967	58	85	shut	shut	VERB
ejpam-6967	58	86	down	down	ADP
ejpam-6967	58	87	)	)	PUNCT
ejpam-6967	59	1	λ	λ	NOUN
ejpam-6967	59	2	rate	rate	NOUN
ejpam-6967	59	3	of	of	ADP
ejpam-6967	59	4	entry	entry	NOUN
ejpam-6967	59	5	of	of	ADP
ejpam-6967	59	6	new	new	ADJ
ejpam-6967	59	7	systems	system	NOUN
ejpam-6967	59	8	into	into	ADP
ejpam-6967	59	9	the	the	DET
ejpam-6967	59	10	network	network	NOUN
ejpam-6967	59	11	µ	µ	PRON
ejpam-6967	59	12	natural	natural	ADJ
ejpam-6967	59	13	disconnection	disconnection	NOUN
ejpam-6967	59	14	rate	rate	NOUN
ejpam-6967	59	15	of	of	ADP
ejpam-6967	59	16	computers	computer	NOUN
ejpam-6967	59	17	β1	β1	NOUN
ejpam-6967	59	18	infection	infection	NOUN
ejpam-6967	59	19	rate	rate	NOUN
ejpam-6967	59	20	from	from	ADP
ejpam-6967	59	21	actively	actively	ADV
ejpam-6967	59	22	infected	infect	VERB
ejpam-6967	59	23	computers	computer	NOUN
ejpam-6967	59	24	β2	β2	VERB
ejpam-6967	59	25	infection	infection	NOUN
ejpam-6967	59	26	rate	rate	NOUN
ejpam-6967	59	27	from	from	ADP
ejpam-6967	59	28	latently	latently	ADV
ejpam-6967	59	29	infected	infect	VERB
ejpam-6967	59	30	computers	computer	NOUN
ejpam-6967	59	31	γ	γ	NOUN
ejpam-6967	59	32	infection	infection	NOUN
ejpam-6967	59	33	rate	rate	NOUN
ejpam-6967	59	34	via	via	ADP
ejpam-6967	59	35	removable	removable	ADJ
ejpam-6967	59	36	media	medium	NOUN
ejpam-6967	59	37	σ	σ	NOUN
ejpam-6967	59	38	progression	progression	NOUN
ejpam-6967	59	39	rate	rate	NOUN
ejpam-6967	59	40	from	from	ADP
ejpam-6967	59	41	latent	latent	NOUN
ejpam-6967	59	42	to	to	ADP
ejpam-6967	59	43	active	active	ADJ
ejpam-6967	59	44	infection	infection	NOUN
ejpam-6967	59	45	θ	θ	PROPN
ejpam-6967	59	46	quarantine	quarantine	NOUN
ejpam-6967	59	47	rate	rate	NOUN
ejpam-6967	59	48	of	of	ADP
ejpam-6967	59	49	actively	actively	ADV
ejpam-6967	59	50	infected	infect	VERB
ejpam-6967	59	51	systems	system	NOUN
ejpam-6967	59	52	δ	δ	PROPN
ejpam-6967	59	53	recovery	recovery	NOUN
ejpam-6967	59	54	rate	rate	NOUN
ejpam-6967	59	55	of	of	ADP
ejpam-6967	59	56	actively	actively	ADV
ejpam-6967	59	57	infected	infect	VERB
ejpam-6967	59	58	computers	computer	NOUN
ejpam-6967	59	59	ξ	ξ	PROPN
ejpam-6967	59	60	recovery	recovery	NOUN
ejpam-6967	59	61	rate	rate	NOUN
ejpam-6967	59	62	from	from	ADP
ejpam-6967	59	63	quarantine	quarantine	NOUN
ejpam-6967	59	64	α	α	PRON
ejpam-6967	59	65	deactivation	deactivation	NOUN
ejpam-6967	59	66	rate	rate	NOUN
ejpam-6967	59	67	of	of	ADP
ejpam-6967	59	68	latent	latent	NOUN
ejpam-6967	59	69	infections	infection	NOUN
ejpam-6967	59	70	η	η	NOUN
ejpam-6967	59	71	deactivation	deactivation	NOUN
ejpam-6967	59	72	rate	rate	NOUN
ejpam-6967	59	73	of	of	ADP
ejpam-6967	59	74	active	active	ADJ
ejpam-6967	59	75	infections	infection	NOUN
ejpam-6967	59	76	table	table	VERB
ejpam-6967	59	77	1	1	NUM
ejpam-6967	59	78	:	:	PUNCT
ejpam-6967	59	79	model	model	NOUN
ejpam-6967	59	80	parameters	parameter	NOUN
ejpam-6967	59	81	and	and	CCONJ
ejpam-6967	59	82	their	their	PRON
ejpam-6967	59	83	meanings	meaning	NOUN
ejpam-6967	59	84	2	2	NUM
ejpam-6967	59	85	.	.	NOUN
ejpam-6967	59	86	phase	phase	NOUN
ejpam-6967	59	87	portrait	portrait	NOUN
ejpam-6967	59	88	analysis	analysis	NOUN
ejpam-6967	59	89	2.1	2.1	NUM
ejpam-6967	59	90	.	.	PUNCT
ejpam-6967	60	1	dynamic	dynamic	ADJ
ejpam-6967	60	2	behavior	behavior	NOUN
ejpam-6967	60	3	and	and	CCONJ
ejpam-6967	60	4	phase	phase	NOUN
ejpam-6967	60	5	portrait	portrait	NOUN
ejpam-6967	60	6	analysis	analysis	NOUN
ejpam-6967	60	7	to	to	PART
ejpam-6967	60	8	validate	validate	VERB
ejpam-6967	60	9	the	the	DET
ejpam-6967	60	10	theoretical	theoretical	ADJ
ejpam-6967	60	11	stability	stability	NOUN
ejpam-6967	60	12	analysis	analysis	NOUN
ejpam-6967	60	13	and	and	CCONJ
ejpam-6967	60	14	explore	explore	VERB
ejpam-6967	60	15	the	the	DET
ejpam-6967	60	16	system	system	NOUN
ejpam-6967	60	17	’s	’s	PART
ejpam-6967	60	18	sensitivity	sensitivity	NOUN
ejpam-6967	60	19	to	to	ADP
ejpam-6967	60	20	key	key	ADJ
ejpam-6967	60	21	cybersecurity	cybersecurity	NOUN
ejpam-6967	60	22	parameters	parameter	NOUN
ejpam-6967	60	23	,	,	PUNCT
ejpam-6967	60	24	numerical	numerical	ADJ
ejpam-6967	60	25	simulations	simulation	NOUN
ejpam-6967	60	26	of	of	ADP
ejpam-6967	60	27	the	the	DET
ejpam-6967	60	28	slaqrd	slaqrd	NOUN
ejpam-6967	60	29	model	model	NOUN
ejpam-6967	60	30	were	be	AUX
ejpam-6967	60	31	conducted	conduct	VERB
ejpam-6967	60	32	.	.	PUNCT
ejpam-6967	61	1	the	the	DET
ejpam-6967	61	2	phase	phase	NOUN
ejpam-6967	61	3	portraits	portrait	NOUN
ejpam-6967	61	4	in	in	ADP
ejpam-6967	61	5	fig	fig	NOUN
ejpam-6967	61	6	.	.	PUNCT
ejpam-6967	62	1	(	(	PUNCT
ejpam-6967	62	2	1	1	X
ejpam-6967	62	3	)	)	PUNCT
ejpam-6967	62	4	depict	depict	VERB
ejpam-6967	62	5	the	the	DET
ejpam-6967	62	6	trajectories	trajectory	NOUN
ejpam-6967	62	7	of	of	ADP
ejpam-6967	62	8	the	the	DET
ejpam-6967	62	9	system	system	NOUN
ejpam-6967	62	10	over	over	ADP
ejpam-6967	62	11	time	time	NOUN
ejpam-6967	62	12	t	t	X
ejpam-6967	62	13	∈	∈	PROPN
ejpam-6967	63	1	[	[	X
ejpam-6967	63	2	0	0	NUM
ejpam-6967	63	3	,	,	PUNCT
ejpam-6967	63	4	100	100	NUM
ejpam-6967	63	5	]	]	PUNCT
ejpam-6967	63	6	,	,	PUNCT
ejpam-6967	63	7	all	all	PRON
ejpam-6967	63	8	originating	originate	VERB
ejpam-6967	63	9	from	from	ADP
ejpam-6967	63	10	the	the	DET
ejpam-6967	63	11	same	same	ADJ
ejpam-6967	63	12	initial	initial	ADJ
ejpam-6967	63	13	condition	condition	NOUN
ejpam-6967	63	14	(	(	PUNCT
ejpam-6967	63	15	s	s	X
ejpam-6967	63	16	,	,	PUNCT
ejpam-6967	63	17	l	l	NOUN
ejpam-6967	63	18	,	,	PUNCT
ejpam-6967	63	19	a	a	PRON
ejpam-6967	63	20	,	,	PUNCT
ejpam-6967	63	21	q	q	NOUN
ejpam-6967	63	22	,	,	PUNCT
ejpam-6967	63	23	r	r	NOUN
ejpam-6967	63	24	,	,	PUNCT
ejpam-6967	63	25	d	d	NOUN
ejpam-6967	63	26	)	)	PUNCT
ejpam-6967	63	27	=	=	SYM
ejpam-6967	63	28	(	(	PUNCT
ejpam-6967	63	29	800	800	NUM
ejpam-6967	63	30	,	,	PUNCT
ejpam-6967	63	31	50	50	NUM
ejpam-6967	63	32	,	,	PUNCT
ejpam-6967	63	33	30	30	NUM
ejpam-6967	63	34	,	,	PUNCT
ejpam-6967	63	35	10	10	NUM
ejpam-6967	63	36	,	,	PUNCT
ejpam-6967	63	37	5	5	NUM
ejpam-6967	63	38	,	,	PUNCT
ejpam-6967	63	39	2	2	NUM
ejpam-6967	63	40	)	)	PUNCT
ejpam-6967	63	41	.	.	PUNCT
ejpam-6967	64	1	each	each	DET
ejpam-6967	64	2	trajectory	trajectory	NOUN
ejpam-6967	64	3	illustrates	illustrate	VERB
ejpam-6967	64	4	the	the	DET
ejpam-6967	64	5	system	system	NOUN
ejpam-6967	64	6	’s	’s	PART
ejpam-6967	64	7	evolution	evolution	NOUN
ejpam-6967	64	8	under	under	ADP
ejpam-6967	64	9	a	a	DET
ejpam-6967	64	10	distinct	distinct	ADJ
ejpam-6967	64	11	parameter	parameter	NOUN
ejpam-6967	64	12	configuration	configuration	NOUN
ejpam-6967	64	13	,	,	PUNCT
ejpam-6967	64	14	demonstrating	demonstrate	VERB
ejpam-6967	64	15	how	how	SCONJ
ejpam-6967	64	16	different	different	ADJ
ejpam-6967	64	17	defense	defense	NOUN
ejpam-6967	64	18	postures	posture	NOUN
ejpam-6967	64	19	and	and	CCONJ
ejpam-6967	64	20	threat	threat	NOUN
ejpam-6967	64	21	landscapes	landscape	NOUN
ejpam-6967	64	22	influence	influence	VERB
ejpam-6967	64	23	the	the	DET
ejpam-6967	64	24	eventual	eventual	ADJ
ejpam-6967	64	25	outcome	outcome	NOUN
ejpam-6967	64	26	.	.	PUNCT
ejpam-6967	65	1	the	the	DET
ejpam-6967	65	2	baseline	baseline	PROPN
ejpam-6967	65	3	parameters	parameter	NOUN
ejpam-6967	65	4	,	,	PUNCT
ejpam-6967	65	5	including	include	VERB
ejpam-6967	65	6	an	an	DET
ejpam-6967	65	7	infection	infection	NOUN
ejpam-6967	65	8	rate	rate	NOUN
ejpam-6967	65	9	β1	β1	PROPN
ejpam-6967	65	10	=	=	PUNCT
ejpam-6967	65	11	0.0005	0.0005	NUM
ejpam-6967	65	12	,	,	PUNCT
ejpam-6967	65	13	a	a	DET
ejpam-6967	65	14	quarantine	quarantine	NOUN
ejpam-6967	65	15	rate	rate	NOUN
ejpam-6967	65	16	θ	θ	PROPN
ejpam-6967	65	17	=	=	PUNCT
ejpam-6967	65	18	0.2	0.2	NUM
ejpam-6967	65	19	,	,	PUNCT
ejpam-6967	65	20	and	and	CCONJ
ejpam-6967	65	21	a	a	DET
ejpam-6967	65	22	recovery	recovery	NOUN
ejpam-6967	65	23	rate	rate	NOUN
ejpam-6967	65	24	δ	δ	PROPN
ejpam-6967	65	25	=	=	PUNCT
ejpam-6967	65	26	0.15	0.15	NUM
ejpam-6967	65	27	,	,	PUNCT
ejpam-6967	65	28	define	define	VERB
ejpam-6967	65	29	our	our	PRON
ejpam-6967	65	30	reference	reference	NOUN
ejpam-6967	65	31	scenario	scenario	NOUN
ejpam-6967	65	32	.	.	PUNCT
ejpam-6967	66	1	the	the	DET
ejpam-6967	66	2	trajectories	trajectory	NOUN
ejpam-6967	66	3	reveal	reveal	VERB
ejpam-6967	66	4	critical	critical	ADJ
ejpam-6967	66	5	insights	insight	NOUN
ejpam-6967	66	6	into	into	ADP
ejpam-6967	66	7	the	the	DET
ejpam-6967	66	8	system	system	NOUN
ejpam-6967	66	9	’s	’s	PART
ejpam-6967	66	10	dynamics	dynamic	NOUN
ejpam-6967	66	11	.	.	PUNCT
ejpam-6967	67	1	under	under	ADP
ejpam-6967	67	2	the	the	DET
ejpam-6967	67	3	baseline	baseline	NOUN
ejpam-6967	67	4	parameters	parameter	NOUN
ejpam-6967	67	5	(	(	PUNCT
ejpam-6967	67	6	blue	blue	ADJ
ejpam-6967	67	7	)	)	PUNCT
ejpam-6967	67	8	,	,	PUNCT
ejpam-6967	67	9	all	all	DET
ejpam-6967	67	10	trajectories	trajectory	NOUN
ejpam-6967	67	11	converge	converge	VERB
ejpam-6967	67	12	towards	towards	ADP
ejpam-6967	67	13	a	a	DET
ejpam-6967	67	14	stable	stable	ADJ
ejpam-6967	67	15	endemic	endemic	ADJ
ejpam-6967	67	16	equilibrium	equilibrium	NOUN
ejpam-6967	67	17	,	,	PUNCT
ejpam-6967	67	18	confirming	confirm	VERB
ejpam-6967	67	19	the	the	DET
ejpam-6967	67	20	theoretical	theoretical	ADJ
ejpam-6967	67	21	prediction	prediction	NOUN
ejpam-6967	67	22	of	of	ADP
ejpam-6967	67	23	a	a	DET
ejpam-6967	67	24	stable	stable	ADJ
ejpam-6967	67	25	system	system	NOUN
ejpam-6967	67	26	when	when	SCONJ
ejpam-6967	67	27	r0	r0	NOUN
ejpam-6967	67	28	>	>	X
ejpam-6967	67	29	1	1	X
ejpam-6967	67	30	.	.	PUNCT
ejpam-6967	68	1	the	the	DET
ejpam-6967	68	2	high	high	ADJ
ejpam-6967	68	3	infection	infection	NOUN
ejpam-6967	68	4	scenario	scenario	NOUN
ejpam-6967	68	5	(	(	PUNCT
ejpam-6967	68	6	red	red	PROPN
ejpam-6967	68	7	)	)	PUNCT
ejpam-6967	68	8	,	,	PUNCT
ejpam-6967	68	9	where	where	SCONJ
ejpam-6967	68	10	β1	β1	PROPN
ejpam-6967	68	11	and	and	CCONJ
ejpam-6967	68	12	β2	β2	NOUN
ejpam-6967	68	13	are	be	AUX
ejpam-6967	68	14	doubled	double	VERB
ejpam-6967	68	15	,	,	PUNCT
ejpam-6967	68	16	results	result	NOUN
ejpam-6967	68	17	in	in	ADP
ejpam-6967	68	18	trajectories	trajectory	NOUN
ejpam-6967	68	19	that	that	PRON
ejpam-6967	68	20	diverge	diverge	VERB
ejpam-6967	68	21	sharply	sharply	ADV
ejpam-6967	68	22	from	from	ADP
ejpam-6967	68	23	the	the	DET
ejpam-6967	68	24	others	other	NOUN
ejpam-6967	68	25	,	,	PUNCT
ejpam-6967	68	26	exhibiting	exhibit	VERB
ejpam-6967	68	27	a	a	DET
ejpam-6967	68	28	significantly	significantly	ADV
ejpam-6967	68	29	larger	large	ADJ
ejpam-6967	68	30	outbreak	outbreak	NOUN
ejpam-6967	68	31	footprint	footprint	NOUN
ejpam-6967	68	32	across	across	ADP
ejpam-6967	68	33	all	all	DET
ejpam-6967	68	34	compartments	compartment	NOUN
ejpam-6967	68	35	before	before	ADP
ejpam-6967	68	36	eventually	eventually	ADV
ejpam-6967	68	37	converging	converge	VERB
ejpam-6967	68	38	.	.	PUNCT
ejpam-6967	69	1	this	this	PRON
ejpam-6967	69	2	underscores	underscore	VERB
ejpam-6967	69	3	the	the	DET
ejpam-6967	69	4	disproportionate	disproportionate	ADJ
ejpam-6967	69	5	impact	impact	NOUN
ejpam-6967	69	6	of	of	ADP
ejpam-6967	69	7	increased	increase	VERB
ejpam-6967	69	8	virulence	virulence	NOUN
ejpam-6967	69	9	on	on	ADP
ejpam-6967	69	10	the	the	DET
ejpam-6967	69	11	scale	scale	NOUN
ejpam-6967	69	12	of	of	ADP
ejpam-6967	69	13	an	an	DET
ejpam-6967	69	14	incident	incident	NOUN
ejpam-6967	69	15	.	.	PUNCT
ejpam-6967	70	1	conversely	conversely	ADV
ejpam-6967	70	2	,	,	PUNCT
ejpam-6967	70	3	strengthening	strengthen	VERB
ejpam-6967	70	4	defense	defense	NOUN
ejpam-6967	70	5	mechanisms	mechanism	NOUN
ejpam-6967	70	6	has	have	VERB
ejpam-6967	70	7	a	a	DET
ejpam-6967	70	8	pronounced	pronounce	VERB
ejpam-6967	70	9	mitigating	mitigate	VERB
ejpam-6967	70	10	effect	effect	NOUN
ejpam-6967	70	11	.	.	PUNCT
ejpam-6967	71	1	the	the	DET
ejpam-6967	71	2	high	high	ADJ
ejpam-6967	71	3	recovery	recovery	NOUN
ejpam-6967	71	4	scenario	scenario	NOUN
ejpam-6967	71	5	(	(	PUNCT
ejpam-6967	71	6	green	green	NOUN
ejpam-6967	71	7	)	)	PUNCT
ejpam-6967	71	8	,	,	PUNCT
ejpam-6967	71	9	with	with	ADP
ejpam-6967	71	10	recovery	recovery	NOUN
ejpam-6967	71	11	rates	rate	NOUN
ejpam-6967	71	12	δ	δ	PROPN
ejpam-6967	71	13	and	and	CCONJ
ejpam-6967	71	14	ξ	ξ	PROPN
ejpam-6967	71	15	increased	increase	VERB
ejpam-6967	71	16	by	by	ADP
ejpam-6967	71	17	50	50	NUM
ejpam-6967	71	18	%	%	NOUN
ejpam-6967	71	19	,	,	PUNCT
ejpam-6967	71	20	shows	show	VERB
ejpam-6967	71	21	trajectories	trajectory	NOUN
ejpam-6967	71	22	converging	converge	VERB
ejpam-6967	71	23	more	more	ADV
ejpam-6967	71	24	rapidly	rapidly	ADV
ejpam-6967	71	25	to	to	ADP
ejpam-6967	71	26	an	an	DET
ejpam-6967	71	27	equilibrium	equilibrium	NOUN
ejpam-6967	71	28	with	with	ADP
ejpam-6967	71	29	a	a	DET
ejpam-6967	71	30	substantially	substantially	ADV
ejpam-6967	71	31	smaller	small	ADJ
ejpam-6967	71	32	population	population	NOUN
ejpam-6967	71	33	of	of	ADP
ejpam-6967	71	34	infected	infected	ADJ
ejpam-6967	71	35	(	(	PUNCT
ejpam-6967	71	36	a	a	NOUN
ejpam-6967	71	37	)	)	PUNCT
ejpam-6967	71	38	and	and	CCONJ
ejpam-6967	71	39	quarantined	quarantine	VERB
ejpam-6967	71	40	(	(	PUNCT
ejpam-6967	71	41	q	q	NOUN
ejpam-6967	71	42	)	)	PUNCT
ejpam-6967	71	43	machines	machine	NOUN
ejpam-6967	71	44	.	.	PUNCT
ejpam-6967	72	1	most	most	ADJ
ejpam-6967	72	2	g.	g.	PROPN
ejpam-6967	72	3	ali	ali	PROPN
ejpam-6967	72	4	et	et	PROPN
ejpam-6967	72	5	al	al	PROPN
ejpam-6967	72	6	.	.	PUNCT
ejpam-6967	72	7	/	/	SYM
ejpam-6967	72	8	eur	eur	PROPN
ejpam-6967	72	9	.	.	PUNCT
ejpam-6967	73	1	j.	j.	PROPN
ejpam-6967	73	2	pure	pure	PROPN
ejpam-6967	73	3	appl	appl	PROPN
ejpam-6967	73	4	.	.	PROPN
ejpam-6967	73	5	math	math	PROPN
ejpam-6967	73	6	,	,	PUNCT
ejpam-6967	73	7	18	18	NUM
ejpam-6967	73	8	(	(	PUNCT
ejpam-6967	73	9	4	4	NUM
ejpam-6967	73	10	)	)	PUNCT
ejpam-6967	73	11	(	(	PUNCT
ejpam-6967	73	12	2025	2025	NUM
ejpam-6967	73	13	)	)	PUNCT
ejpam-6967	73	14	,	,	PUNCT
ejpam-6967	73	15	6967	6967	NUM
ejpam-6967	73	16	5	5	NUM
ejpam-6967	73	17	of	of	ADP
ejpam-6967	73	18	29	29	NUM
ejpam-6967	73	19	notably	notably	ADV
ejpam-6967	73	20	,	,	PUNCT
ejpam-6967	73	21	the	the	DET
ejpam-6967	73	22	high	high	ADJ
ejpam-6967	73	23	quarantine	quarantine	NOUN
ejpam-6967	73	24	policy	policy	NOUN
ejpam-6967	73	25	(	(	PUNCT
ejpam-6967	73	26	magenta	magenta	NOUN
ejpam-6967	73	27	)	)	PUNCT
ejpam-6967	73	28	,	,	PUNCT
ejpam-6967	73	29	where	where	SCONJ
ejpam-6967	73	30	the	the	DET
ejpam-6967	73	31	quarantine	quarantine	NOUN
ejpam-6967	73	32	rate	rate	NOUN
ejpam-6967	73	33	θ	θ	PROPN
ejpam-6967	73	34	is	be	AUX
ejpam-6967	73	35	doubled	double	VERB
ejpam-6967	73	36	,	,	PUNCT
ejpam-6967	73	37	demonstrates	demonstrate	VERB
ejpam-6967	73	38	the	the	DET
ejpam-6967	73	39	most	most	ADV
ejpam-6967	73	40	effective	effective	ADJ
ejpam-6967	73	41	containment	containment	NOUN
ejpam-6967	73	42	,	,	PUNCT
ejpam-6967	73	43	with	with	ADP
ejpam-6967	73	44	trajectories	trajectory	NOUN
ejpam-6967	73	45	in	in	ADP
ejpam-6967	73	46	the	the	DET
ejpam-6967	73	47	s	s	NOUN
ejpam-6967	73	48	-	-	PUNCT
ejpam-6967	73	49	a	a	NOUN
ejpam-6967	73	50	and	and	CCONJ
ejpam-6967	73	51	l	l	NOUN
ejpam-6967	73	52	-	-	NOUN
ejpam-6967	73	53	a	a	DET
ejpam-6967	73	54	planes	plane	NOUN
ejpam-6967	73	55	showing	show	VERB
ejpam-6967	73	56	a	a	DET
ejpam-6967	73	57	very	very	ADV
ejpam-6967	73	58	direct	direct	ADJ
ejpam-6967	73	59	and	and	CCONJ
ejpam-6967	73	60	rapid	rapid	ADJ
ejpam-6967	73	61	suppression	suppression	NOUN
ejpam-6967	73	62	of	of	ADP
ejpam-6967	73	63	the	the	DET
ejpam-6967	73	64	active	active	ADJ
ejpam-6967	73	65	infection	infection	NOUN
ejpam-6967	73	66	compartment	compartment	NOUN
ejpam-6967	73	67	a.	a.	NOUN
ejpam-6967	73	68	this	this	DET
ejpam-6967	73	69	comparative	comparative	ADJ
ejpam-6967	73	70	analysis	analysis	NOUN
ejpam-6967	73	71	quantitatively	quantitatively	ADV
ejpam-6967	73	72	validates	validate	VERB
ejpam-6967	73	73	that	that	DET
ejpam-6967	73	74	investment	investment	NOUN
ejpam-6967	73	75	in	in	ADP
ejpam-6967	73	76	proactive	proactive	ADJ
ejpam-6967	73	77	detection	detection	NOUN
ejpam-6967	73	78	and	and	CCONJ
ejpam-6967	73	79	quarantine	quarantine	NOUN
ejpam-6967	73	80	systems	system	NOUN
ejpam-6967	73	81	is	be	AUX
ejpam-6967	73	82	one	one	NUM
ejpam-6967	73	83	of	of	ADP
ejpam-6967	73	84	the	the	DET
ejpam-6967	73	85	most	most	ADV
ejpam-6967	73	86	effective	effective	ADJ
ejpam-6967	73	87	strategies	strategy	NOUN
ejpam-6967	73	88	for	for	ADP
ejpam-6967	73	89	minimizing	minimize	VERB
ejpam-6967	73	90	the	the	DET
ejpam-6967	73	91	impact	impact	NOUN
ejpam-6967	73	92	of	of	ADP
ejpam-6967	73	93	a	a	DET
ejpam-6967	73	94	cyber	cyber	NOUN
ejpam-6967	73	95	outbreak	outbreak	NOUN
ejpam-6967	73	96	,	,	PUNCT
ejpam-6967	73	97	as	as	SCONJ
ejpam-6967	73	98	reflected	reflect	VERB
ejpam-6967	73	99	in	in	ADP
ejpam-6967	73	100	the	the	DET
ejpam-6967	73	101	system	system	NOUN
ejpam-6967	73	102	’s	’s	PART
ejpam-6967	73	103	dynamic	dynamic	ADJ
ejpam-6967	73	104	evolution	evolution	NOUN
ejpam-6967	73	105	.	.	PUNCT
ejpam-6967	74	1	0	0	NUM
ejpam-6967	75	1	100	100	NUM
ejpam-6967	75	2	200	200	NUM
ejpam-6967	75	3	300	300	NUM
ejpam-6967	75	4	400	400	NUM
ejpam-6967	75	5	500	500	NUM
ejpam-6967	75	6	600	600	NUM
ejpam-6967	75	7	700	700	NUM
ejpam-6967	75	8	800	800	NUM
ejpam-6967	75	9	susceptible	susceptible	ADJ
ejpam-6967	75	10	computers	computer	NOUN
ejpam-6967	75	11	(	(	PUNCT
ejpam-6967	75	12	s	s	NOUN
ejpam-6967	75	13	)	)	PUNCT
ejpam-6967	75	14	0	0	NUM
ejpam-6967	75	15	50	50	NUM
ejpam-6967	75	16	100	100	NUM
ejpam-6967	75	17	150	150	NUM
ejpam-6967	75	18	200	200	NUM
ejpam-6967	75	19	250	250	NUM
ejpam-6967	75	20	300	300	NUM
ejpam-6967	75	21	350	350	NUM
ejpam-6967	75	22	400	400	NUM
ejpam-6967	75	23	l	l	NOUN
ejpam-6967	75	24	a	a	X
ejpam-6967	75	25	te	te	PROPN
ejpam-6967	75	26	n	n	CCONJ
ejpam-6967	75	27	tl	tl	PROPN
ejpam-6967	75	28	y	y	PROPN
ejpam-6967	75	29	i	i	PRON
ejpam-6967	75	30	n	n	VERB
ejpam-6967	75	31	fe	fe	X
ejpam-6967	75	32	c	c	X
ejpam-6967	75	33	te	te	PROPN
ejpam-6967	75	34	d	d	X
ejpam-6967	75	35	c	c	NOUN
ejpam-6967	75	36	o	o	NOUN
ejpam-6967	75	37	m	m	VERB
ejpam-6967	75	38	p	p	X
ejpam-6967	75	39	u	u	X
ejpam-6967	75	40	te	te	INTJ
ejpam-6967	75	41	rs	rs	INTJ
ejpam-6967	75	42	(	(	PUNCT
ejpam-6967	75	43	l	l	NOUN
ejpam-6967	75	44	)	)	PUNCT
ejpam-6967	75	45	phase	phase	NOUN
ejpam-6967	75	46	portrait	portrait	NOUN
ejpam-6967	75	47	:	:	PUNCT
ejpam-6967	75	48	susceptible	susceptible	ADJ
ejpam-6967	75	49	vs	vs	ADP
ejpam-6967	75	50	latently	latently	ADV
ejpam-6967	75	51	infected	infect	VERB
ejpam-6967	75	52	(	(	PUNCT
ejpam-6967	75	53	s	s	NOUN
ejpam-6967	75	54	-	-	ADJ
ejpam-6967	75	55	l	l	NOUN
ejpam-6967	75	56	plane	plane	NOUN
ejpam-6967	75	57	)	)	PUNCT
ejpam-6967	75	58	baseline	baseline	PROPN
ejpam-6967	75	59	data1	data1	PROPN
ejpam-6967	75	60	data2	data2	PROPN
ejpam-6967	75	61	high	high	ADJ
ejpam-6967	75	62	infection	infection	NOUN
ejpam-6967	75	63	data3	data3	PROPN
ejpam-6967	75	64	data4	data4	PROPN
ejpam-6967	76	1	high	high	ADJ
ejpam-6967	76	2	recovery	recovery	NOUN
ejpam-6967	76	3	data5	data5	PROPN
ejpam-6967	77	1	data6	data6	PROPN
ejpam-6967	77	2	high	high	PROPN
ejpam-6967	77	3	quarantine	quarantine	NOUN
ejpam-6967	77	4	data7	data7	VERB
ejpam-6967	78	1	data8	data8	ADV
ejpam-6967	78	2	0	0	NUM
ejpam-6967	78	3	100	100	NUM
ejpam-6967	78	4	200	200	NUM
ejpam-6967	78	5	300	300	NUM
ejpam-6967	78	6	400	400	NUM
ejpam-6967	78	7	500	500	NUM
ejpam-6967	78	8	600	600	NUM
ejpam-6967	78	9	700	700	NUM
ejpam-6967	78	10	800	800	NUM
ejpam-6967	78	11	susceptible	susceptible	ADJ
ejpam-6967	78	12	computers	computer	NOUN
ejpam-6967	78	13	(	(	PUNCT
ejpam-6967	78	14	s	s	NOUN
ejpam-6967	78	15	)	)	PUNCT
ejpam-6967	78	16	0	0	NUM
ejpam-6967	79	1	10	10	NUM
ejpam-6967	79	2	20	20	NUM
ejpam-6967	79	3	30	30	NUM
ejpam-6967	79	4	40	40	NUM
ejpam-6967	79	5	50	50	NUM
ejpam-6967	79	6	60	60	NUM
ejpam-6967	79	7	70	70	NUM
ejpam-6967	79	8	80	80	NUM
ejpam-6967	79	9	a	a	DET
ejpam-6967	79	10	c	c	NOUN
ejpam-6967	79	11	ti	ti	NOUN
ejpam-6967	79	12	v	v	NOUN
ejpam-6967	79	13	e	e	NOUN
ejpam-6967	79	14	ly	ly	VERB
ejpam-6967	80	1	i	i	PRON
ejpam-6967	80	2	n	n	X
ejpam-6967	80	3	fe	fe	X
ejpam-6967	80	4	c	c	X
ejpam-6967	80	5	te	te	PROPN
ejpam-6967	80	6	d	d	X
ejpam-6967	80	7	c	c	NOUN
ejpam-6967	80	8	o	o	NOUN
ejpam-6967	80	9	m	m	VERB
ejpam-6967	80	10	p	p	X
ejpam-6967	80	11	u	u	X
ejpam-6967	80	12	te	te	INTJ
ejpam-6967	80	13	rs	rs	X
ejpam-6967	80	14	(	(	PUNCT
ejpam-6967	80	15	a	a	DET
ejpam-6967	80	16	)	)	PUNCT
ejpam-6967	80	17	phase	phase	NOUN
ejpam-6967	80	18	portrait	portrait	NOUN
ejpam-6967	80	19	:	:	PUNCT
ejpam-6967	80	20	susceptible	susceptible	ADJ
ejpam-6967	80	21	vs	vs	ADP
ejpam-6967	80	22	actively	actively	ADV
ejpam-6967	80	23	infected	infect	VERB
ejpam-6967	80	24	(	(	PUNCT
ejpam-6967	80	25	s	s	NOUN
ejpam-6967	80	26	-	-	PUNCT
ejpam-6967	80	27	a	a	DET
ejpam-6967	80	28	plane	plane	NOUN
ejpam-6967	80	29	)	)	PUNCT
ejpam-6967	80	30	baseline	baseline	PROPN
ejpam-6967	80	31	data1	data1	PROPN
ejpam-6967	80	32	data2	data2	PROPN
ejpam-6967	80	33	high	high	ADJ
ejpam-6967	80	34	infection	infection	NOUN
ejpam-6967	80	35	data3	data3	PROPN
ejpam-6967	80	36	data4	data4	PROPN
ejpam-6967	81	1	high	high	ADJ
ejpam-6967	81	2	recovery	recovery	NOUN
ejpam-6967	81	3	data5	data5	PROPN
ejpam-6967	82	1	data6	data6	PROPN
ejpam-6967	82	2	high	high	PROPN
ejpam-6967	82	3	quarantine	quarantine	NOUN
ejpam-6967	82	4	data7	data7	VERB
ejpam-6967	83	1	data8	data8	ADJ
ejpam-6967	83	2	0	0	NUM
ejpam-6967	83	3	50	50	NUM
ejpam-6967	83	4	100	100	NUM
ejpam-6967	83	5	150	150	NUM
ejpam-6967	83	6	200	200	NUM
ejpam-6967	83	7	250	250	NUM
ejpam-6967	83	8	300	300	NUM
ejpam-6967	83	9	350	350	NUM
ejpam-6967	83	10	400	400	NUM
ejpam-6967	83	11	latently	latently	ADV
ejpam-6967	83	12	infected	infect	VERB
ejpam-6967	83	13	computers	computer	NOUN
ejpam-6967	83	14	(	(	PUNCT
ejpam-6967	83	15	l	l	NOUN
ejpam-6967	83	16	)	)	PUNCT
ejpam-6967	83	17	0	0	NUM
ejpam-6967	83	18	10	10	NUM
ejpam-6967	83	19	20	20	NUM
ejpam-6967	83	20	30	30	NUM
ejpam-6967	83	21	40	40	NUM
ejpam-6967	83	22	50	50	NUM
ejpam-6967	83	23	60	60	NUM
ejpam-6967	83	24	70	70	NUM
ejpam-6967	83	25	80	80	NUM
ejpam-6967	83	26	a	a	DET
ejpam-6967	83	27	c	c	NOUN
ejpam-6967	83	28	ti	ti	NOUN
ejpam-6967	83	29	v	v	NOUN
ejpam-6967	83	30	e	e	NOUN
ejpam-6967	83	31	ly	ly	VERB
ejpam-6967	83	32	i	i	PRON
ejpam-6967	83	33	n	n	X
ejpam-6967	83	34	fe	fe	X
ejpam-6967	83	35	c	c	X
ejpam-6967	83	36	te	te	PROPN
ejpam-6967	84	1	d	d	X
ejpam-6967	84	2	c	c	NOUN
ejpam-6967	84	3	o	o	NOUN
ejpam-6967	84	4	m	m	VERB
ejpam-6967	84	5	p	p	X
ejpam-6967	84	6	u	u	X
ejpam-6967	84	7	te	te	INTJ
ejpam-6967	84	8	rs	rs	X
ejpam-6967	84	9	(	(	PUNCT
ejpam-6967	84	10	a	a	DET
ejpam-6967	84	11	)	)	PUNCT
ejpam-6967	84	12	phase	phase	NOUN
ejpam-6967	84	13	portrait	portrait	NOUN
ejpam-6967	84	14	:	:	PUNCT
ejpam-6967	84	15	latently	latently	ADV
ejpam-6967	84	16	vs	vs	ADP
ejpam-6967	84	17	actively	actively	ADV
ejpam-6967	84	18	infected	infect	VERB
ejpam-6967	84	19	(	(	PUNCT
ejpam-6967	84	20	l	l	NOUN
ejpam-6967	84	21	-	-	PUNCT
ejpam-6967	84	22	a	a	DET
ejpam-6967	84	23	plane	plane	NOUN
ejpam-6967	84	24	)	)	PUNCT
ejpam-6967	84	25	baseline	baseline	PROPN
ejpam-6967	84	26	data1	data1	PROPN
ejpam-6967	84	27	data2	data2	PROPN
ejpam-6967	84	28	high	high	ADJ
ejpam-6967	84	29	infection	infection	NOUN
ejpam-6967	84	30	data3	data3	PROPN
ejpam-6967	84	31	data4	data4	PROPN
ejpam-6967	84	32	high	high	ADJ
ejpam-6967	84	33	recovery	recovery	NOUN
ejpam-6967	84	34	data5	data5	PROPN
ejpam-6967	85	1	data6	data6	PROPN
ejpam-6967	85	2	high	high	PROPN
ejpam-6967	85	3	quarantine	quarantine	NOUN
ejpam-6967	85	4	data7	data7	VERB
ejpam-6967	86	1	data8	data8	ADV
ejpam-6967	86	2	0	0	NUM
ejpam-6967	87	1	10	10	NUM
ejpam-6967	87	2	20	20	NUM
ejpam-6967	87	3	30	30	NUM
ejpam-6967	87	4	40	40	NUM
ejpam-6967	87	5	50	50	NUM
ejpam-6967	87	6	60	60	NUM
ejpam-6967	87	7	70	70	NUM
ejpam-6967	87	8	80	80	NUM
ejpam-6967	87	9	actively	actively	ADV
ejpam-6967	87	10	infected	infect	VERB
ejpam-6967	87	11	computers	computer	NOUN
ejpam-6967	87	12	(	(	PUNCT
ejpam-6967	87	13	a	a	X
ejpam-6967	87	14	)	)	PUNCT
ejpam-6967	87	15	0	0	NUM
ejpam-6967	87	16	10	10	NUM
ejpam-6967	87	17	20	20	NUM
ejpam-6967	87	18	30	30	NUM
ejpam-6967	87	19	40	40	NUM
ejpam-6967	87	20	50	50	NUM
ejpam-6967	87	21	60	60	NUM
ejpam-6967	87	22	q	q	NOUN
ejpam-6967	87	23	u	u	NOUN
ejpam-6967	87	24	a	a	DET
ejpam-6967	87	25	ra	ra	NOUN
ejpam-6967	87	26	n	n	CCONJ
ejpam-6967	87	27	ti	ti	NOUN
ejpam-6967	87	28	n	n	NOUN
ejpam-6967	87	29	e	e	NOUN
ejpam-6967	87	30	d	d	X
ejpam-6967	87	31	c	c	X
ejpam-6967	87	32	o	o	NOUN
ejpam-6967	87	33	m	m	VERB
ejpam-6967	87	34	p	p	X
ejpam-6967	87	35	u	u	X
ejpam-6967	87	36	te	te	INTJ
ejpam-6967	87	37	rs	rs	INTJ
ejpam-6967	87	38	(	(	PUNCT
ejpam-6967	87	39	q	q	NOUN
ejpam-6967	87	40	)	)	PUNCT
ejpam-6967	87	41	phase	phase	NOUN
ejpam-6967	87	42	portrait	portrait	NOUN
ejpam-6967	87	43	:	:	PUNCT
ejpam-6967	87	44	actively	actively	ADV
ejpam-6967	87	45	infected	infect	VERB
ejpam-6967	87	46	vs	vs	ADP
ejpam-6967	87	47	quarantined	quarantine	VERB
ejpam-6967	87	48	(	(	PUNCT
ejpam-6967	87	49	a	a	DET
ejpam-6967	87	50	-	-	PUNCT
ejpam-6967	87	51	q	q	NOUN
ejpam-6967	87	52	plane	plane	NOUN
ejpam-6967	87	53	)	)	PUNCT
ejpam-6967	87	54	baseline	baseline	PROPN
ejpam-6967	87	55	data1	data1	PROPN
ejpam-6967	87	56	data2	data2	PROPN
ejpam-6967	87	57	high	high	ADJ
ejpam-6967	87	58	infection	infection	NOUN
ejpam-6967	87	59	data3	data3	PROPN
ejpam-6967	87	60	data4	data4	PROPN
ejpam-6967	87	61	high	high	ADJ
ejpam-6967	87	62	recovery	recovery	NOUN
ejpam-6967	87	63	data5	data5	PROPN
ejpam-6967	88	1	data6	data6	PROPN
ejpam-6967	88	2	high	high	PROPN
ejpam-6967	88	3	quarantine	quarantine	NOUN
ejpam-6967	88	4	data7	data7	VERB
ejpam-6967	89	1	data8	data8	ADV
ejpam-6967	89	2	0	0	NUM
ejpam-6967	89	3	10	10	NUM
ejpam-6967	89	4	20	20	NUM
ejpam-6967	89	5	30	30	NUM
ejpam-6967	89	6	40	40	NUM
ejpam-6967	89	7	50	50	NUM
ejpam-6967	89	8	60	60	NUM
ejpam-6967	89	9	quarantined	quarantined	ADJ
ejpam-6967	89	10	computers	computer	NOUN
ejpam-6967	89	11	(	(	PUNCT
ejpam-6967	89	12	q	q	NOUN
ejpam-6967	89	13	)	)	PUNCT
ejpam-6967	89	14	0	0	NUM
ejpam-6967	90	1	50	50	NUM
ejpam-6967	90	2	100	100	NUM
ejpam-6967	90	3	150	150	NUM
ejpam-6967	90	4	200	200	NUM
ejpam-6967	90	5	250	250	NUM
ejpam-6967	90	6	300	300	NUM
ejpam-6967	90	7	350	350	NUM
ejpam-6967	90	8	400	400	NUM
ejpam-6967	90	9	450	450	NUM
ejpam-6967	90	10	r	r	NOUN
ejpam-6967	90	11	e	e	NOUN
ejpam-6967	90	12	c	c	NOUN
ejpam-6967	90	13	o	o	X
ejpam-6967	90	14	v	v	X
ejpam-6967	90	15	e	e	X
ejpam-6967	90	16	re	re	NOUN
ejpam-6967	90	17	d	d	PROPN
ejpam-6967	90	18	c	c	NOUN
ejpam-6967	90	19	o	o	NOUN
ejpam-6967	90	20	m	m	VERB
ejpam-6967	90	21	p	p	X
ejpam-6967	90	22	u	u	X
ejpam-6967	90	23	te	te	INTJ
ejpam-6967	90	24	rs	rs	INTJ
ejpam-6967	90	25	(	(	PUNCT
ejpam-6967	90	26	r	r	NOUN
ejpam-6967	90	27	)	)	PUNCT
ejpam-6967	90	28	phase	phase	NOUN
ejpam-6967	90	29	portrait	portrait	NOUN
ejpam-6967	90	30	:	:	PUNCT
ejpam-6967	90	31	quarantined	quarantine	VERB
ejpam-6967	90	32	vs	vs	ADP
ejpam-6967	90	33	recovered	recovered	ADJ
ejpam-6967	90	34	(	(	PUNCT
ejpam-6967	90	35	q	q	ADJ
ejpam-6967	90	36	-	-	PUNCT
ejpam-6967	90	37	r	r	NOUN
ejpam-6967	90	38	plane	plane	NOUN
ejpam-6967	90	39	)	)	PUNCT
ejpam-6967	90	40	baseline	baseline	PROPN
ejpam-6967	90	41	data1	data1	PROPN
ejpam-6967	90	42	data2	data2	PROPN
ejpam-6967	90	43	high	high	ADJ
ejpam-6967	90	44	infection	infection	NOUN
ejpam-6967	90	45	data3	data3	PROPN
ejpam-6967	90	46	data4	data4	PROPN
ejpam-6967	91	1	high	high	ADJ
ejpam-6967	91	2	recovery	recovery	NOUN
ejpam-6967	91	3	data5	data5	PROPN
ejpam-6967	92	1	data6	data6	PROPN
ejpam-6967	92	2	high	high	PROPN
ejpam-6967	92	3	quarantine	quarantine	NOUN
ejpam-6967	92	4	data7	data7	VERB
ejpam-6967	93	1	data8	data8	ADV
ejpam-6967	93	2	0	0	NUM
ejpam-6967	94	1	10	10	NUM
ejpam-6967	94	2	20	20	NUM
ejpam-6967	94	3	30	30	NUM
ejpam-6967	94	4	40	40	NUM
ejpam-6967	94	5	50	50	NUM
ejpam-6967	94	6	60	60	NUM
ejpam-6967	94	7	70	70	NUM
ejpam-6967	94	8	80	80	NUM
ejpam-6967	94	9	actively	actively	ADV
ejpam-6967	94	10	infected	infect	VERB
ejpam-6967	94	11	computers	computer	NOUN
ejpam-6967	94	12	(	(	PUNCT
ejpam-6967	94	13	a	a	X
ejpam-6967	94	14	)	)	PUNCT
ejpam-6967	94	15	0	0	NUM
ejpam-6967	94	16	50	50	NUM
ejpam-6967	94	17	100	100	NUM
ejpam-6967	94	18	150	150	NUM
ejpam-6967	94	19	200	200	NUM
ejpam-6967	94	20	250	250	NUM
ejpam-6967	94	21	300	300	NUM
ejpam-6967	94	22	350	350	NUM
ejpam-6967	94	23	d	d	NOUN
ejpam-6967	94	24	e	e	PROPN
ejpam-6967	94	25	a	a	PROPN
ejpam-6967	94	26	c	c	NOUN
ejpam-6967	94	27	ti	ti	NOUN
ejpam-6967	94	28	v	v	ADP
ejpam-6967	94	29	a	a	PRON
ejpam-6967	94	30	te	te	PROPN
ejpam-6967	94	31	d	d	X
ejpam-6967	95	1	c	c	NOUN
ejpam-6967	96	1	o	o	NOUN
ejpam-6967	96	2	m	m	VERB
ejpam-6967	96	3	p	p	X
ejpam-6967	96	4	u	u	X
ejpam-6967	96	5	te	te	INTJ
ejpam-6967	96	6	rs	rs	INTJ
ejpam-6967	96	7	(	(	PUNCT
ejpam-6967	96	8	d	d	NOUN
ejpam-6967	96	9	)	)	PUNCT
ejpam-6967	96	10	phase	phase	NOUN
ejpam-6967	96	11	portrait	portrait	NOUN
ejpam-6967	96	12	:	:	PUNCT
ejpam-6967	96	13	actively	actively	ADV
ejpam-6967	96	14	infected	infect	VERB
ejpam-6967	96	15	vs	vs	ADP
ejpam-6967	96	16	deactivated	deactivated	ADJ
ejpam-6967	96	17	(	(	PUNCT
ejpam-6967	96	18	a	a	PRON
ejpam-6967	96	19	-	-	PUNCT
ejpam-6967	96	20	d	d	NOUN
ejpam-6967	96	21	plane	plane	NOUN
ejpam-6967	96	22	)	)	PUNCT
ejpam-6967	96	23	baseline	baseline	PROPN
ejpam-6967	96	24	data1	data1	PROPN
ejpam-6967	96	25	data2	data2	PROPN
ejpam-6967	96	26	high	high	ADJ
ejpam-6967	96	27	infection	infection	NOUN
ejpam-6967	96	28	data3	data3	PROPN
ejpam-6967	96	29	data4	data4	PROPN
ejpam-6967	96	30	high	high	ADJ
ejpam-6967	96	31	recovery	recovery	NOUN
ejpam-6967	96	32	data5	data5	PROPN
ejpam-6967	97	1	data6	data6	PROPN
ejpam-6967	97	2	high	high	PROPN
ejpam-6967	97	3	quarantine	quarantine	NOUN
ejpam-6967	97	4	data7	data7	VERB
ejpam-6967	97	5	data8	data8	ADJ
ejpam-6967	97	6	figure	figure	NOUN
ejpam-6967	97	7	1	1	NUM
ejpam-6967	97	8	:	:	PUNCT
ejpam-6967	97	9	comparative	comparative	ADJ
ejpam-6967	97	10	system	system	NOUN
ejpam-6967	97	11	trajectories	trajectory	NOUN
ejpam-6967	97	12	for	for	ADP
ejpam-6967	97	13	baseline	baseline	ADJ
ejpam-6967	97	14	,	,	PUNCT
ejpam-6967	97	15	high	high	ADJ
ejpam-6967	97	16	-	-	PUNCT
ejpam-6967	97	17	infection	infection	NOUN
ejpam-6967	97	18	,	,	PUNCT
ejpam-6967	97	19	high	high	ADJ
ejpam-6967	97	20	-	-	PUNCT
ejpam-6967	97	21	recovery	recovery	NOUN
ejpam-6967	97	22	,	,	PUNCT
ejpam-6967	97	23	and	and	CCONJ
ejpam-6967	97	24	high	high	ADJ
ejpam-6967	97	25	-	-	PUNCT
ejpam-6967	97	26	quarantine	quarantine	NOUN
ejpam-6967	97	27	parameter	parameter	NOUN
ejpam-6967	97	28	sets	set	NOUN
ejpam-6967	97	29	.	.	PUNCT
ejpam-6967	98	1	g.	g.	PROPN
ejpam-6967	98	2	ali	ali	PROPN
ejpam-6967	98	3	et	et	PROPN
ejpam-6967	98	4	al	al	PROPN
ejpam-6967	98	5	.	.	PUNCT
ejpam-6967	98	6	/	/	SYM
ejpam-6967	98	7	eur	eur	PROPN
ejpam-6967	98	8	.	.	PUNCT
ejpam-6967	99	1	j.	j.	PROPN
ejpam-6967	99	2	pure	pure	PROPN
ejpam-6967	99	3	appl	appl	PROPN
ejpam-6967	99	4	.	.	PROPN
ejpam-6967	99	5	math	math	PROPN
ejpam-6967	99	6	,	,	PUNCT
ejpam-6967	99	7	18	18	NUM
ejpam-6967	99	8	(	(	PUNCT
ejpam-6967	99	9	4	4	NUM
ejpam-6967	99	10	)	)	PUNCT
ejpam-6967	99	11	(	(	PUNCT
ejpam-6967	99	12	2025	2025	NUM
ejpam-6967	99	13	)	)	PUNCT
ejpam-6967	99	14	,	,	PUNCT
ejpam-6967	99	15	6967	6967	NUM
ejpam-6967	99	16	6	6	NUM
ejpam-6967	99	17	of	of	ADP
ejpam-6967	99	18	29	29	NUM
ejpam-6967	99	19	2.2	2.2	NUM
ejpam-6967	99	20	.	.	PUNCT
ejpam-6967	100	1	dynamic	dynamic	ADJ
ejpam-6967	100	2	behavior	behavior	NOUN
ejpam-6967	100	3	and	and	CCONJ
ejpam-6967	100	4	phase	phase	NOUN
ejpam-6967	100	5	portrait	portrait	NOUN
ejpam-6967	100	6	analysis	analysis	NOUN
ejpam-6967	100	7	in	in	ADP
ejpam-6967	100	8	vector	vector	NOUN
ejpam-6967	100	9	field	field	NOUN
ejpam-6967	100	10	the	the	DET
ejpam-6967	100	11	qualitative	qualitative	ADJ
ejpam-6967	100	12	behavior	behavior	NOUN
ejpam-6967	100	13	of	of	ADP
ejpam-6967	100	14	the	the	DET
ejpam-6967	100	15	proposed	propose	VERB
ejpam-6967	100	16	slaqrd	slaqrd	NOUN
ejpam-6967	100	17	model	model	NOUN
ejpam-6967	100	18	is	be	AUX
ejpam-6967	100	19	investigated	investigate	VERB
ejpam-6967	100	20	through	through	ADP
ejpam-6967	100	21	phase	phase	NOUN
ejpam-6967	100	22	portrait	portrait	NOUN
ejpam-6967	100	23	analysis	analysis	NOUN
ejpam-6967	100	24	.	.	PUNCT
ejpam-6967	101	1	this	this	PRON
ejpam-6967	101	2	involves	involve	VERB
ejpam-6967	101	3	holding	hold	VERB
ejpam-6967	101	4	the	the	DET
ejpam-6967	101	5	non	non	ADJ
ejpam-6967	101	6	-	-	ADJ
ejpam-6967	101	7	displayed	display	VERB
ejpam-6967	101	8	compartments	compartment	NOUN
ejpam-6967	101	9	at	at	ADP
ejpam-6967	101	10	fixed	fix	VERB
ejpam-6967	101	11	,	,	PUNCT
ejpam-6967	101	12	non	non	ADJ
ejpam-6967	101	13	-	-	ADJ
ejpam-6967	101	14	zero	zero	NUM
ejpam-6967	101	15	values	value	NOUN
ejpam-6967	101	16	(	(	PUNCT
ejpam-6967	101	17	e.g.	e.g.	ADV
ejpam-6967	101	18	,	,	PUNCT
ejpam-6967	101	19	a	a	PRON
ejpam-6967	101	20	=	=	SYM
ejpam-6967	101	21	50	50	NUM
ejpam-6967	101	22	,	,	PUNCT
ejpam-6967	101	23	q	q	NOUN
ejpam-6967	101	24	=	=	NOUN
ejpam-6967	101	25	10	10	NUM
ejpam-6967	101	26	,	,	PUNCT
ejpam-6967	101	27	r	r	NOUN
ejpam-6967	101	28	=	=	SYM
ejpam-6967	101	29	5	5	NUM
ejpam-6967	101	30	,	,	PUNCT
ejpam-6967	101	31	d	d	NOUN
ejpam-6967	101	32	=	=	SYM
ejpam-6967	101	33	2	2	NUM
ejpam-6967	101	34	)	)	PUNCT
ejpam-6967	101	35	to	to	PART
ejpam-6967	101	36	project	project	VERB
ejpam-6967	101	37	the	the	DET
ejpam-6967	101	38	vector	vector	NOUN
ejpam-6967	101	39	field	field	NOUN
ejpam-6967	101	40	and	and	CCONJ
ejpam-6967	101	41	trajectories	trajectory	NOUN
ejpam-6967	101	42	onto	onto	ADP
ejpam-6967	101	43	two	two	NUM
ejpam-6967	101	44	-	-	PUNCT
ejpam-6967	101	45	dimensional	dimensional	ADJ
ejpam-6967	101	46	planes	plane	NOUN
ejpam-6967	101	47	,	,	PUNCT
ejpam-6967	101	48	revealing	reveal	VERB
ejpam-6967	101	49	the	the	DET
ejpam-6967	101	50	local	local	ADJ
ejpam-6967	101	51	stability	stability	NOUN
ejpam-6967	101	52	characteristics	characteristic	NOUN
ejpam-6967	101	53	between	between	ADP
ejpam-6967	101	54	pairs	pair	NOUN
ejpam-6967	101	55	of	of	ADP
ejpam-6967	101	56	state	state	NOUN
ejpam-6967	101	57	variables	variable	NOUN
ejpam-6967	101	58	.	.	PUNCT
ejpam-6967	102	1	the	the	DET
ejpam-6967	102	2	parameters	parameter	NOUN
ejpam-6967	102	3	used	use	VERB
ejpam-6967	102	4	for	for	ADP
ejpam-6967	102	5	this	this	DET
ejpam-6967	102	6	numerical	numerical	ADJ
ejpam-6967	102	7	analysis	analysis	NOUN
ejpam-6967	102	8	,	,	PUNCT
ejpam-6967	102	9	such	such	ADJ
ejpam-6967	102	10	as	as	ADP
ejpam-6967	102	11	an	an	DET
ejpam-6967	102	12	infection	infection	NOUN
ejpam-6967	102	13	rate	rate	NOUN
ejpam-6967	102	14	β1	β1	NOUN
ejpam-6967	102	15	=	=	PUNCT
ejpam-6967	102	16	0.0005	0.0005	NUM
ejpam-6967	102	17	from	from	ADP
ejpam-6967	102	18	active	active	ADJ
ejpam-6967	102	19	computers	computer	NOUN
ejpam-6967	102	20	,	,	PUNCT
ejpam-6967	102	21	a	a	DET
ejpam-6967	102	22	quarantine	quarantine	NOUN
ejpam-6967	102	23	rate	rate	NOUN
ejpam-6967	102	24	θ	θ	PROPN
ejpam-6967	102	25	=	=	PUNCT
ejpam-6967	102	26	0.2	0.2	NUM
ejpam-6967	102	27	,	,	PUNCT
ejpam-6967	102	28	and	and	CCONJ
ejpam-6967	102	29	a	a	DET
ejpam-6967	102	30	deactivation	deactivation	NOUN
ejpam-6967	102	31	rate	rate	NOUN
ejpam-6967	102	32	η	η	PROPN
ejpam-6967	102	33	=	=	PROPN
ejpam-6967	102	34	0.08	0.08	NUM
ejpam-6967	102	35	,	,	PUNCT
ejpam-6967	102	36	are	be	AUX
ejpam-6967	102	37	chosen	choose	VERB
ejpam-6967	102	38	to	to	PART
ejpam-6967	102	39	reflect	reflect	VERB
ejpam-6967	102	40	a	a	DET
ejpam-6967	102	41	realistic	realistic	ADJ
ejpam-6967	102	42	cybersecurity	cybersecurity	NOUN
ejpam-6967	102	43	scenario	scenario	NOUN
ejpam-6967	102	44	.	.	PUNCT
ejpam-6967	103	1	the	the	DET
ejpam-6967	103	2	collective	collective	ADJ
ejpam-6967	103	3	analysis	analysis	NOUN
ejpam-6967	103	4	of	of	ADP
ejpam-6967	103	5	the	the	DET
ejpam-6967	103	6	phase	phase	NOUN
ejpam-6967	103	7	portraits	portrait	NOUN
ejpam-6967	103	8	as	as	SCONJ
ejpam-6967	103	9	shown	show	VERB
ejpam-6967	103	10	in	in	ADP
ejpam-6967	103	11	figs	fig	NOUN
ejpam-6967	103	12	.	.	PUNCT
ejpam-6967	104	1	(	(	PUNCT
ejpam-6967	104	2	2	2	NUM
ejpam-6967	104	3	)	)	PUNCT
ejpam-6967	104	4	,	,	PUNCT
ejpam-6967	104	5	reveals	reveal	VERB
ejpam-6967	104	6	the	the	DET
ejpam-6967	104	7	complex	complex	ADJ
ejpam-6967	104	8	and	and	CCONJ
ejpam-6967	104	9	multi	multi	ADJ
ejpam-6967	104	10	-	-	ADJ
ejpam-6967	104	11	faceted	faceted	ADJ
ejpam-6967	104	12	nature	nature	NOUN
ejpam-6967	104	13	of	of	ADP
ejpam-6967	104	14	virus	virus	NOUN
ejpam-6967	104	15	propagation	propagation	NOUN
ejpam-6967	104	16	.	.	PUNCT
ejpam-6967	105	1	in	in	ADP
ejpam-6967	105	2	the	the	DET
ejpam-6967	105	3	susceptible	susceptible	ADJ
ejpam-6967	105	4	-	-	PUNCT
ejpam-6967	105	5	latent	latent	NOUN
ejpam-6967	105	6	(	(	PUNCT
ejpam-6967	105	7	s	s	NOUN
ejpam-6967	105	8	-	-	PUNCT
ejpam-6967	105	9	l	l	NOUN
ejpam-6967	105	10	)	)	PUNCT
ejpam-6967	105	11	plane	plane	NOUN
ejpam-6967	105	12	,	,	PUNCT
ejpam-6967	105	13	the	the	DET
ejpam-6967	105	14	system	system	NOUN
ejpam-6967	105	15	exhibits	exhibit	VERB
ejpam-6967	105	16	a	a	DET
ejpam-6967	105	17	converging	converge	VERB
ejpam-6967	105	18	spiral	spiral	ADJ
ejpam-6967	105	19	behavior	behavior	NOUN
ejpam-6967	105	20	(	(	PUNCT
ejpam-6967	105	21	stable	stable	ADJ
ejpam-6967	105	22	focus	focus	NOUN
ejpam-6967	105	23	)	)	PUNCT
ejpam-6967	105	24	,	,	PUNCT
ejpam-6967	105	25	indicating	indicate	VERB
ejpam-6967	105	26	that	that	SCONJ
ejpam-6967	105	27	the	the	DET
ejpam-6967	105	28	populations	population	NOUN
ejpam-6967	105	29	of	of	ADP
ejpam-6967	105	30	s	s	NOUN
ejpam-6967	105	31	and	and	CCONJ
ejpam-6967	105	32	l	l	NOUN
ejpam-6967	105	33	oscillate	oscillate	NOUN
ejpam-6967	105	34	with	with	ADP
ejpam-6967	105	35	decreasing	decrease	VERB
ejpam-6967	105	36	amplitude	amplitude	NOUN
ejpam-6967	105	37	as	as	SCONJ
ejpam-6967	105	38	they	they	PRON
ejpam-6967	105	39	approach	approach	VERB
ejpam-6967	105	40	a	a	DET
ejpam-6967	105	41	stable	stable	ADJ
ejpam-6967	105	42	equilibrium	equilibrium	NOUN
ejpam-6967	105	43	.	.	PUNCT
ejpam-6967	106	1	this	this	DET
ejpam-6967	106	2	oscillatory	oscillatory	ADJ
ejpam-6967	106	3	damping	damping	NOUN
ejpam-6967	106	4	suggests	suggest	VERB
ejpam-6967	106	5	a	a	DET
ejpam-6967	106	6	cyclical	cyclical	ADJ
ejpam-6967	106	7	push	push	NOUN
ejpam-6967	106	8	-	-	PUNCT
ejpam-6967	106	9	and	and	CCONJ
ejpam-6967	106	10	-	-	PUNCT
ejpam-6967	106	11	pull	pull	VERB
ejpam-6967	106	12	between	between	ADP
ejpam-6967	106	13	new	new	ADJ
ejpam-6967	106	14	infections	infection	NOUN
ejpam-6967	106	15	and	and	CCONJ
ejpam-6967	106	16	the	the	DET
ejpam-6967	106	17	system	system	NOUN
ejpam-6967	106	18	’s	’s	PART
ejpam-6967	106	19	natural	natural	ADJ
ejpam-6967	106	20	and	and	CCONJ
ejpam-6967	106	21	induced	induced	ADJ
ejpam-6967	106	22	recovery	recovery	NOUN
ejpam-6967	106	23	processes	process	NOUN
ejpam-6967	106	24	.	.	PUNCT
ejpam-6967	107	1	conversely	conversely	ADV
ejpam-6967	107	2	,	,	PUNCT
ejpam-6967	107	3	the	the	DET
ejpam-6967	107	4	susceptible	susceptible	ADJ
ejpam-6967	107	5	-	-	PUNCT
ejpam-6967	107	6	active	active	ADJ
ejpam-6967	107	7	(	(	PUNCT
ejpam-6967	107	8	s	s	NOUN
ejpam-6967	107	9	-	-	PUNCT
ejpam-6967	107	10	a	a	NOUN
ejpam-6967	107	11	)	)	PUNCT
ejpam-6967	107	12	and	and	CCONJ
ejpam-6967	107	13	quarantined	quarantine	VERB
ejpam-6967	107	14	-	-	PUNCT
ejpam-6967	107	15	recovered	recover	VERB
ejpam-6967	107	16	(	(	PUNCT
ejpam-6967	107	17	q	q	NOUN
ejpam-6967	107	18	-	-	PUNCT
ejpam-6967	107	19	r	r	NOUN
ejpam-6967	107	20	)	)	PUNCT
ejpam-6967	107	21	planes	plane	NOUN
ejpam-6967	107	22	demonstrate	demonstrate	VERB
ejpam-6967	107	23	a	a	DET
ejpam-6967	107	24	stable	stable	ADJ
ejpam-6967	107	25	node	node	ADJ
ejpam-6967	107	26	behavior	behavior	NOUN
ejpam-6967	107	27	,	,	PUNCT
ejpam-6967	107	28	where	where	SCONJ
ejpam-6967	107	29	trajectories	trajectory	NOUN
ejpam-6967	107	30	move	move	VERB
ejpam-6967	107	31	directly	directly	ADV
ejpam-6967	107	32	towards	towards	ADP
ejpam-6967	107	33	equilibrium	equilibrium	NOUN
ejpam-6967	107	34	without	without	ADP
ejpam-6967	107	35	oscillations	oscillation	NOUN
ejpam-6967	107	36	,	,	PUNCT
ejpam-6967	107	37	reflecting	reflect	VERB
ejpam-6967	107	38	a	a	DET
ejpam-6967	107	39	more	more	ADV
ejpam-6967	107	40	straightforward	straightforward	ADJ
ejpam-6967	107	41	,	,	PUNCT
ejpam-6967	107	42	monotonic	monotonic	ADJ
ejpam-6967	107	43	recovery	recovery	NOUN
ejpam-6967	107	44	process	process	NOUN
ejpam-6967	107	45	for	for	ADP
ejpam-6967	107	46	these	these	DET
ejpam-6967	107	47	compartment	compartment	NOUN
ejpam-6967	107	48	pairs	pair	NOUN
ejpam-6967	107	49	.	.	PUNCT
ejpam-6967	108	1	the	the	DET
ejpam-6967	108	2	most	most	ADV
ejpam-6967	108	3	critical	critical	ADJ
ejpam-6967	108	4	behavior	behavior	NOUN
ejpam-6967	108	5	is	be	AUX
ejpam-6967	108	6	observed	observe	VERB
ejpam-6967	108	7	in	in	ADP
ejpam-6967	108	8	the	the	DET
ejpam-6967	108	9	latent	latent	NOUN
ejpam-6967	108	10	-	-	PUNCT
ejpam-6967	108	11	active	active	ADJ
ejpam-6967	108	12	(	(	PUNCT
ejpam-6967	108	13	l	l	NOUN
ejpam-6967	108	14	-	-	NOUN
ejpam-6967	108	15	a	a	PRON
ejpam-6967	108	16	)	)	PUNCT
ejpam-6967	108	17	plane	plane	NOUN
ejpam-6967	108	18	,	,	PUNCT
ejpam-6967	108	19	which	which	PRON
ejpam-6967	108	20	shows	show	VERB
ejpam-6967	108	21	a	a	DET
ejpam-6967	108	22	saddle	saddle	NOUN
ejpam-6967	108	23	point	point	NOUN
ejpam-6967	108	24	instability	instability	NOUN
ejpam-6967	108	25	.	.	PUNCT
ejpam-6967	109	1	this	this	PRON
ejpam-6967	109	2	indicates	indicate	VERB
ejpam-6967	109	3	the	the	DET
ejpam-6967	109	4	presence	presence	NOUN
ejpam-6967	109	5	of	of	ADP
ejpam-6967	109	6	a	a	DET
ejpam-6967	109	7	manifold	manifold	ADJ
ejpam-6967	109	8	where	where	SCONJ
ejpam-6967	109	9	small	small	ADJ
ejpam-6967	109	10	deviations	deviation	NOUN
ejpam-6967	109	11	in	in	ADP
ejpam-6967	109	12	the	the	DET
ejpam-6967	109	13	initial	initial	ADJ
ejpam-6967	109	14	conditions	condition	NOUN
ejpam-6967	109	15	can	can	AUX
ejpam-6967	109	16	lead	lead	VERB
ejpam-6967	109	17	to	to	ADP
ejpam-6967	109	18	significantly	significantly	ADV
ejpam-6967	109	19	different	different	ADJ
ejpam-6967	109	20	outcomes	outcome	NOUN
ejpam-6967	109	21	,	,	PUNCT
ejpam-6967	109	22	either	either	CCONJ
ejpam-6967	109	23	towards	towards	ADP
ejpam-6967	109	24	containment	containment	NOUN
ejpam-6967	109	25	or	or	CCONJ
ejpam-6967	109	26	a	a	DET
ejpam-6967	109	27	major	major	ADJ
ejpam-6967	109	28	outbreak	outbreak	NOUN
ejpam-6967	109	29	,	,	PUNCT
ejpam-6967	109	30	emphasizing	emphasize	VERB
ejpam-6967	109	31	the	the	DET
ejpam-6967	109	32	critical	critical	ADJ
ejpam-6967	109	33	need	need	NOUN
ejpam-6967	109	34	for	for	ADP
ejpam-6967	109	35	early	early	ADJ
ejpam-6967	109	36	intervention	intervention	NOUN
ejpam-6967	109	37	strategies	strategy	NOUN
ejpam-6967	109	38	that	that	PRON
ejpam-6967	109	39	target	target	VERB
ejpam-6967	109	40	these	these	DET
ejpam-6967	109	41	specific	specific	ADJ
ejpam-6967	109	42	compartments	compartment	NOUN
ejpam-6967	109	43	to	to	PART
ejpam-6967	109	44	steer	steer	VERB
ejpam-6967	109	45	the	the	DET
ejpam-6967	109	46	system	system	NOUN
ejpam-6967	109	47	away	away	ADV
ejpam-6967	109	48	from	from	ADP
ejpam-6967	109	49	divergence	divergence	NOUN
ejpam-6967	109	50	.	.	PUNCT
ejpam-6967	110	1	g.	g.	PROPN
ejpam-6967	110	2	ali	ali	PROPN
ejpam-6967	110	3	et	et	PROPN
ejpam-6967	110	4	al	al	PROPN
ejpam-6967	110	5	.	.	PUNCT
ejpam-6967	110	6	/	/	SYM
ejpam-6967	110	7	eur	eur	PROPN
ejpam-6967	110	8	.	.	PUNCT
ejpam-6967	111	1	j.	j.	PROPN
ejpam-6967	111	2	pure	pure	PROPN
ejpam-6967	111	3	appl	appl	PROPN
ejpam-6967	111	4	.	.	PROPN
ejpam-6967	111	5	math	math	PROPN
ejpam-6967	111	6	,	,	PUNCT
ejpam-6967	111	7	18	18	NUM
ejpam-6967	111	8	(	(	PUNCT
ejpam-6967	111	9	4	4	NUM
ejpam-6967	111	10	)	)	PUNCT
ejpam-6967	111	11	(	(	PUNCT
ejpam-6967	111	12	2025	2025	NUM
ejpam-6967	111	13	)	)	PUNCT
ejpam-6967	111	14	,	,	PUNCT
ejpam-6967	111	15	6967	6967	NUM
ejpam-6967	111	16	7	7	NUM
ejpam-6967	111	17	of	of	ADP
ejpam-6967	111	18	29	29	NUM
ejpam-6967	111	19	0	0	NUM
ejpam-6967	111	20	100	100	NUM
ejpam-6967	111	21	200	200	NUM
ejpam-6967	111	22	300	300	NUM
ejpam-6967	111	23	400	400	NUM
ejpam-6967	111	24	500	500	NUM
ejpam-6967	111	25	600	600	NUM
ejpam-6967	111	26	700	700	NUM
ejpam-6967	111	27	800	800	NUM
ejpam-6967	111	28	susceptible	susceptible	ADJ
ejpam-6967	111	29	(	(	PUNCT
ejpam-6967	111	30	s	s	NOUN
ejpam-6967	111	31	)	)	PUNCT
ejpam-6967	111	32	0	0	NUM
ejpam-6967	111	33	20	20	NUM
ejpam-6967	111	34	40	40	NUM
ejpam-6967	111	35	60	60	NUM
ejpam-6967	111	36	80	80	NUM
ejpam-6967	111	37	100	100	NUM
ejpam-6967	111	38	120	120	NUM
ejpam-6967	111	39	140	140	NUM
ejpam-6967	111	40	160	160	NUM
ejpam-6967	111	41	180	180	NUM
ejpam-6967	111	42	200	200	NUM
ejpam-6967	111	43	l	l	NOUN
ejpam-6967	111	44	a	a	DET
ejpam-6967	111	45	te	te	PROPN
ejpam-6967	111	46	n	n	PRON
ejpam-6967	111	47	t	t	PROPN
ejpam-6967	111	48	(	(	PUNCT
ejpam-6967	111	49	l	l	NOUN
ejpam-6967	111	50	)	)	PUNCT
ejpam-6967	111	51	s	s	NOUN
ejpam-6967	111	52	-	-	PUNCT
ejpam-6967	111	53	l	l	NOUN
ejpam-6967	111	54	plane	plane	NOUN
ejpam-6967	111	55	:	:	PUNCT
ejpam-6967	111	56	converging	converge	VERB
ejpam-6967	111	57	spiral	spiral	ADJ
ejpam-6967	111	58	behavior	behavior	NOUN
ejpam-6967	111	59	(	(	PUNCT
ejpam-6967	111	60	stable	stable	ADJ
ejpam-6967	111	61	focus	focus	NOUN
ejpam-6967	111	62	)	)	PUNCT
ejpam-6967	111	63	behavior	behavior	NOUN
ejpam-6967	111	64	:	:	PUNCT
ejpam-6967	111	65	converging	converge	VERB
ejpam-6967	111	66	spiral	spiral	ADJ
ejpam-6967	111	67	system	system	NOUN
ejpam-6967	111	68	oscillates	oscillate	NOUN
ejpam-6967	111	69	while	while	SCONJ
ejpam-6967	111	70	approaching	approach	VERB
ejpam-6967	111	71	equilibrium	equilibrium	NOUN
ejpam-6967	111	72	0	0	NUM
ejpam-6967	111	73	100	100	NUM
ejpam-6967	111	74	200	200	NUM
ejpam-6967	111	75	300	300	NUM
ejpam-6967	111	76	400	400	NUM
ejpam-6967	111	77	500	500	NUM
ejpam-6967	111	78	600	600	NUM
ejpam-6967	111	79	700	700	NUM
ejpam-6967	111	80	800	800	NUM
ejpam-6967	111	81	susceptible	susceptible	ADJ
ejpam-6967	111	82	(	(	PUNCT
ejpam-6967	111	83	s	s	NOUN
ejpam-6967	111	84	)	)	PUNCT
ejpam-6967	111	85	0	0	NUM
ejpam-6967	112	1	10	10	NUM
ejpam-6967	112	2	20	20	NUM
ejpam-6967	112	3	30	30	NUM
ejpam-6967	112	4	40	40	NUM
ejpam-6967	112	5	50	50	NUM
ejpam-6967	112	6	60	60	NUM
ejpam-6967	112	7	70	70	NUM
ejpam-6967	112	8	80	80	NUM
ejpam-6967	112	9	90	90	NUM
ejpam-6967	112	10	100	100	NUM
ejpam-6967	112	11	a	a	DET
ejpam-6967	112	12	c	c	NOUN
ejpam-6967	112	13	ti	ti	NOUN
ejpam-6967	112	14	v	v	NOUN
ejpam-6967	112	15	e	e	X
ejpam-6967	112	16	(	(	PUNCT
ejpam-6967	112	17	a	a	X
ejpam-6967	112	18	)	)	PUNCT
ejpam-6967	112	19	s	s	NOUN
ejpam-6967	112	20	-	-	PUNCT
ejpam-6967	112	21	a	a	DET
ejpam-6967	112	22	plane	plane	NOUN
ejpam-6967	112	23	:	:	PUNCT
ejpam-6967	112	24	stable	stable	ADJ
ejpam-6967	112	25	node	node	ADJ
ejpam-6967	112	26	behavior	behavior	NOUN
ejpam-6967	112	27	behavior	behavior	NOUN
ejpam-6967	112	28	:	:	PUNCT
ejpam-6967	112	29	stable	stable	ADJ
ejpam-6967	112	30	node	node	NOUN
ejpam-6967	112	31	system	system	NOUN
ejpam-6967	112	32	approaches	approach	VERB
ejpam-6967	112	33	equilibrium	equilibrium	NOUN
ejpam-6967	112	34	without	without	ADP
ejpam-6967	112	35	oscillation	oscillation	NOUN
ejpam-6967	112	36	0	0	NUM
ejpam-6967	112	37	20	20	NUM
ejpam-6967	112	38	40	40	NUM
ejpam-6967	112	39	60	60	NUM
ejpam-6967	112	40	80	80	NUM
ejpam-6967	112	41	100	100	NUM
ejpam-6967	112	42	120	120	NUM
ejpam-6967	112	43	140	140	NUM
ejpam-6967	112	44	160	160	NUM
ejpam-6967	112	45	latent	latent	NOUN
ejpam-6967	112	46	(	(	PUNCT
ejpam-6967	112	47	l	l	NOUN
ejpam-6967	112	48	)	)	PUNCT
ejpam-6967	112	49	0	0	NUM
ejpam-6967	112	50	10	10	NUM
ejpam-6967	112	51	20	20	NUM
ejpam-6967	112	52	30	30	NUM
ejpam-6967	112	53	40	40	NUM
ejpam-6967	112	54	50	50	NUM
ejpam-6967	112	55	60	60	NUM
ejpam-6967	112	56	70	70	NUM
ejpam-6967	112	57	80	80	NUM
ejpam-6967	112	58	90	90	NUM
ejpam-6967	112	59	100	100	NUM
ejpam-6967	112	60	a	a	DET
ejpam-6967	112	61	c	c	NOUN
ejpam-6967	112	62	ti	ti	NOUN
ejpam-6967	112	63	v	v	NOUN
ejpam-6967	112	64	e	e	X
ejpam-6967	112	65	(	(	PUNCT
ejpam-6967	112	66	a	a	PRON
ejpam-6967	112	67	)	)	PUNCT
ejpam-6967	112	68	l	l	NOUN
ejpam-6967	112	69	-	-	PUNCT
ejpam-6967	112	70	a	a	DET
ejpam-6967	112	71	plane	plane	NOUN
ejpam-6967	112	72	:	:	PUNCT
ejpam-6967	112	73	saddle	saddle	NOUN
ejpam-6967	112	74	point	point	NOUN
ejpam-6967	112	75	behavior	behavior	NOUN
ejpam-6967	112	76	behavior	behavior	NOUN
ejpam-6967	112	77	:	:	PUNCT
ejpam-6967	112	78	saddle	saddle	NOUN
ejpam-6967	112	79	point	point	NOUN
ejpam-6967	112	80	unstable	unstable	ADJ
ejpam-6967	112	81	equilibrium	equilibrium	NOUN
ejpam-6967	112	82	some	some	DET
ejpam-6967	112	83	trajectories	trajectory	NOUN
ejpam-6967	112	84	diverge	diverge	VERB
ejpam-6967	112	85	0	0	NUM
ejpam-6967	112	86	10	10	NUM
ejpam-6967	112	87	20	20	NUM
ejpam-6967	112	88	30	30	NUM
ejpam-6967	112	89	40	40	NUM
ejpam-6967	112	90	50	50	NUM
ejpam-6967	112	91	60	60	NUM
ejpam-6967	112	92	70	70	NUM
ejpam-6967	112	93	80	80	NUM
ejpam-6967	112	94	90	90	NUM
ejpam-6967	112	95	100	100	NUM
ejpam-6967	112	96	active	active	ADJ
ejpam-6967	112	97	(	(	PUNCT
ejpam-6967	112	98	a	a	NOUN
ejpam-6967	112	99	)	)	PUNCT
ejpam-6967	112	100	0	0	NUM
ejpam-6967	112	101	10	10	NUM
ejpam-6967	112	102	20	20	NUM
ejpam-6967	112	103	30	30	NUM
ejpam-6967	112	104	40	40	NUM
ejpam-6967	112	105	50	50	NUM
ejpam-6967	112	106	60	60	NUM
ejpam-6967	112	107	q	q	NOUN
ejpam-6967	112	108	u	u	NOUN
ejpam-6967	112	109	a	a	DET
ejpam-6967	112	110	ra	ra	NOUN
ejpam-6967	113	1	n	n	CCONJ
ejpam-6967	113	2	ti	ti	NOUN
ejpam-6967	113	3	n	n	NOUN
ejpam-6967	113	4	e	e	X
ejpam-6967	113	5	d	d	X
ejpam-6967	113	6	(	(	PUNCT
ejpam-6967	113	7	q	q	NOUN
ejpam-6967	113	8	)	)	PUNCT
ejpam-6967	113	9	a	a	DET
ejpam-6967	113	10	-	-	PUNCT
ejpam-6967	113	11	q	q	NOUN
ejpam-6967	113	12	plane	plane	NOUN
ejpam-6967	113	13	:	:	PUNCT
ejpam-6967	113	14	stable	stable	ADJ
ejpam-6967	113	15	focus	focus	NOUN
ejpam-6967	113	16	behavior	behavior	NOUN
ejpam-6967	113	17	behavior	behavior	NOUN
ejpam-6967	113	18	:	:	PUNCT
ejpam-6967	113	19	stable	stable	ADJ
ejpam-6967	113	20	focus	focus	NOUN
ejpam-6967	113	21	system	system	NOUN
ejpam-6967	113	22	spirals	spiral	NOUN
ejpam-6967	113	23	toward	toward	ADP
ejpam-6967	113	24	equilibrium	equilibrium	NOUN
ejpam-6967	113	25	5	5	NUM
ejpam-6967	113	26	10	10	NUM
ejpam-6967	113	27	15	15	NUM
ejpam-6967	113	28	20	20	NUM
ejpam-6967	113	29	25	25	NUM
ejpam-6967	113	30	30	30	NUM
ejpam-6967	113	31	35	35	NUM
ejpam-6967	113	32	40	40	NUM
ejpam-6967	113	33	45	45	NUM
ejpam-6967	113	34	50	50	NUM
ejpam-6967	113	35	quarantined	quarantine	VERB
ejpam-6967	113	36	(	(	PUNCT
ejpam-6967	113	37	q	q	NOUN
ejpam-6967	113	38	)	)	PUNCT
ejpam-6967	113	39	0	0	NUM
ejpam-6967	113	40	10	10	NUM
ejpam-6967	113	41	20	20	NUM
ejpam-6967	113	42	30	30	NUM
ejpam-6967	113	43	40	40	NUM
ejpam-6967	113	44	50	50	NUM
ejpam-6967	113	45	60	60	NUM
ejpam-6967	113	46	r	r	NOUN
ejpam-6967	113	47	e	e	NOUN
ejpam-6967	113	48	c	c	NOUN
ejpam-6967	113	49	o	o	X
ejpam-6967	113	50	v	v	X
ejpam-6967	113	51	e	e	X
ejpam-6967	113	52	re	re	X
ejpam-6967	113	53	d	d	X
ejpam-6967	113	54	(	(	PUNCT
ejpam-6967	113	55	r	r	NOUN
ejpam-6967	113	56	)	)	PUNCT
ejpam-6967	113	57	q	q	ADJ
ejpam-6967	113	58	-	-	PUNCT
ejpam-6967	113	59	r	r	NOUN
ejpam-6967	113	60	plane	plane	NOUN
ejpam-6967	113	61	:	:	PUNCT
ejpam-6967	113	62	stable	stable	ADJ
ejpam-6967	113	63	node	node	ADJ
ejpam-6967	113	64	behavior	behavior	NOUN
ejpam-6967	113	65	behavior	behavior	NOUN
ejpam-6967	113	66	:	:	PUNCT
ejpam-6967	113	67	stable	stable	ADJ
ejpam-6967	113	68	node	node	ADJ
ejpam-6967	113	69	direct	direct	ADJ
ejpam-6967	113	70	convergence	convergence	NOUN
ejpam-6967	113	71	to	to	ADP
ejpam-6967	113	72	equilibrium	equilibrium	NOUN
ejpam-6967	113	73	0	0	NUM
ejpam-6967	113	74	10	10	NUM
ejpam-6967	113	75	20	20	NUM
ejpam-6967	113	76	30	30	NUM
ejpam-6967	113	77	40	40	NUM
ejpam-6967	113	78	50	50	NUM
ejpam-6967	113	79	60	60	NUM
ejpam-6967	113	80	70	70	NUM
ejpam-6967	113	81	80	80	NUM
ejpam-6967	113	82	90	90	NUM
ejpam-6967	113	83	100	100	NUM
ejpam-6967	113	84	active	active	ADJ
ejpam-6967	113	85	(	(	PUNCT
ejpam-6967	113	86	a	a	NOUN
ejpam-6967	113	87	)	)	PUNCT
ejpam-6967	113	88	0	0	NUM
ejpam-6967	113	89	5	5	NUM
ejpam-6967	113	90	10	10	NUM
ejpam-6967	113	91	15	15	NUM
ejpam-6967	113	92	20	20	NUM
ejpam-6967	113	93	25	25	NUM
ejpam-6967	113	94	d	d	NOUN
ejpam-6967	113	95	e	e	PROPN
ejpam-6967	113	96	a	a	PROPN
ejpam-6967	113	97	c	c	NOUN
ejpam-6967	113	98	ti	ti	NOUN
ejpam-6967	113	99	v	v	ADP
ejpam-6967	113	100	a	a	DET
ejpam-6967	113	101	te	te	X
ejpam-6967	113	102	d	d	X
ejpam-6967	113	103	(	(	PUNCT
ejpam-6967	113	104	d	d	NOUN
ejpam-6967	113	105	)	)	PUNCT
ejpam-6967	113	106	a	a	DET
ejpam-6967	113	107	-	-	PUNCT
ejpam-6967	113	108	d	d	NOUN
ejpam-6967	113	109	plane	plane	NOUN
ejpam-6967	113	110	:	:	PUNCT
ejpam-6967	113	111	diverging	diverge	VERB
ejpam-6967	113	112	behavior	behavior	NOUN
ejpam-6967	113	113	(	(	PUNCT
ejpam-6967	113	114	unstable	unstable	ADJ
ejpam-6967	113	115	)	)	PUNCT
ejpam-6967	113	116	behavior	behavior	NOUN
ejpam-6967	113	117	:	:	PUNCT
ejpam-6967	113	118	unstable	unstable	ADJ
ejpam-6967	113	119	system	system	NOUN
ejpam-6967	113	120	trajectories	trajectory	NOUN
ejpam-6967	113	121	diverge	diverge	VERB
ejpam-6967	113	122	from	from	ADP
ejpam-6967	113	123	equilibrium	equilibrium	NOUN
ejpam-6967	113	124	figure	figure	NOUN
ejpam-6967	113	125	2	2	NUM
ejpam-6967	113	126	:	:	PUNCT
ejpam-6967	113	127	phase	phase	NOUN
ejpam-6967	113	128	portrait	portrait	NOUN
ejpam-6967	113	129	in	in	ADP
ejpam-6967	113	130	(	(	PUNCT
ejpam-6967	113	131	s	s	NOUN
ejpam-6967	113	132	-	-	NOUN
ejpam-6967	113	133	l	l	NOUN
ejpam-6967	113	134	)	)	PUNCT
ejpam-6967	113	135	,	,	PUNCT
ejpam-6967	113	136	(	(	PUNCT
ejpam-6967	113	137	s	s	NOUN
ejpam-6967	113	138	-	-	PUNCT
ejpam-6967	113	139	a	a	NOUN
ejpam-6967	113	140	)	)	PUNCT
ejpam-6967	113	141	,	,	PUNCT
ejpam-6967	113	142	(	(	PUNCT
ejpam-6967	113	143	l	l	NOUN
ejpam-6967	113	144	-	-	NOUN
ejpam-6967	113	145	a	a	NOUN
ejpam-6967	113	146	)	)	PUNCT
ejpam-6967	113	147	,	,	PUNCT
ejpam-6967	113	148	(	(	PUNCT
ejpam-6967	113	149	a	a	X
ejpam-6967	113	150	-	-	PUNCT
ejpam-6967	113	151	q	q	NOUN
ejpam-6967	113	152	)	)	PUNCT
ejpam-6967	113	153	,	,	PUNCT
ejpam-6967	113	154	(	(	PUNCT
ejpam-6967	113	155	q	q	NOUN
ejpam-6967	113	156	-	-	PUNCT
ejpam-6967	113	157	r	r	NOUN
ejpam-6967	113	158	)	)	PUNCT
ejpam-6967	113	159	and	and	CCONJ
ejpam-6967	113	160	(	(	PUNCT
ejpam-6967	113	161	a	a	PROPN
ejpam-6967	113	162	-	-	PUNCT
ejpam-6967	113	163	d	d	NOUN
ejpam-6967	113	164	)	)	PUNCT
ejpam-6967	113	165	planes	plane	NOUN
ejpam-6967	113	166	.	.	PUNCT
ejpam-6967	114	1	positivity	positivity	NOUN
ejpam-6967	114	2	of	of	ADP
ejpam-6967	114	3	the	the	DET
ejpam-6967	114	4	model	model	NOUN
ejpam-6967	114	5	in	in	ADP
ejpam-6967	114	6	any	any	DET
ejpam-6967	114	7	realistic	realistic	ADJ
ejpam-6967	114	8	modeling	modeling	NOUN
ejpam-6967	114	9	scenario	scenario	NOUN
ejpam-6967	114	10	,	,	PUNCT
ejpam-6967	114	11	it	it	PRON
ejpam-6967	114	12	is	be	AUX
ejpam-6967	114	13	essential	essential	ADJ
ejpam-6967	114	14	to	to	PART
ejpam-6967	114	15	establish	establish	VERB
ejpam-6967	114	16	that	that	SCONJ
ejpam-6967	114	17	all	all	DET
ejpam-6967	114	18	state	state	NOUN
ejpam-6967	114	19	variables	variable	NOUN
ejpam-6967	114	20	remain	remain	VERB
ejpam-6967	114	21	non	non	ADJ
ejpam-6967	114	22	-	-	ADJ
ejpam-6967	114	23	negative	negative	ADJ
ejpam-6967	114	24	for	for	ADP
ejpam-6967	114	25	all	all	DET
ejpam-6967	114	26	time	time	NOUN
ejpam-6967	114	27	t	t	PROPN
ejpam-6967	114	28	≥	≥	NOUN
ejpam-6967	114	29	0	0	NUM
ejpam-6967	114	30	.	.	PUNCT
ejpam-6967	115	1	the	the	DET
ejpam-6967	115	2	following	follow	VERB
ejpam-6967	115	3	result	result	NOUN
ejpam-6967	115	4	guarantees	guarantee	VERB
ejpam-6967	115	5	the	the	DET
ejpam-6967	115	6	positivity	positivity	NOUN
ejpam-6967	115	7	of	of	ADP
ejpam-6967	115	8	solutions	solution	NOUN
ejpam-6967	115	9	to	to	ADP
ejpam-6967	115	10	the	the	DET
ejpam-6967	115	11	proposed	propose	VERB
ejpam-6967	115	12	system	system	NOUN
ejpam-6967	115	13	.	.	PUNCT
ejpam-6967	116	1	g.	g.	PROPN
ejpam-6967	116	2	ali	ali	PROPN
ejpam-6967	116	3	et	et	PROPN
ejpam-6967	116	4	al	al	PROPN
ejpam-6967	116	5	.	.	PUNCT
ejpam-6967	116	6	/	/	SYM
ejpam-6967	116	7	eur	eur	PROPN
ejpam-6967	116	8	.	.	PUNCT
ejpam-6967	117	1	j.	j.	PROPN
ejpam-6967	117	2	pure	pure	PROPN
ejpam-6967	117	3	appl	appl	PROPN
ejpam-6967	117	4	.	.	PROPN
ejpam-6967	117	5	math	math	PROPN
ejpam-6967	117	6	,	,	PUNCT
ejpam-6967	117	7	18	18	NUM
ejpam-6967	117	8	(	(	PUNCT
ejpam-6967	117	9	4	4	NUM
ejpam-6967	117	10	)	)	PUNCT
ejpam-6967	117	11	(	(	PUNCT
ejpam-6967	117	12	2025	2025	NUM
ejpam-6967	117	13	)	)	PUNCT
ejpam-6967	117	14	,	,	PUNCT
ejpam-6967	117	15	6967	6967	NUM
ejpam-6967	117	16	8	8	NUM
ejpam-6967	117	17	of	of	ADP
ejpam-6967	117	18	29	29	NUM
ejpam-6967	117	19	theorem	theorem	NOUN
ejpam-6967	117	20	1	1	NUM
ejpam-6967	117	21	.	.	PUNCT
ejpam-6967	118	1	let	let	VERB
ejpam-6967	118	2	the	the	DET
ejpam-6967	118	3	initial	initial	ADJ
ejpam-6967	118	4	conditions	condition	NOUN
ejpam-6967	118	5	satisfy	satisfy	VERB
ejpam-6967	118	6	s(0	s(0	PROPN
ejpam-6967	118	7	)	)	PUNCT
ejpam-6967	118	8	≥	≥	NOUN
ejpam-6967	118	9	0	0	NUM
ejpam-6967	118	10	,	,	PUNCT
ejpam-6967	118	11	l(0	l(0	PROPN
ejpam-6967	118	12	)	)	PUNCT
ejpam-6967	118	13	≥	≥	NOUN
ejpam-6967	118	14	0	0	NUM
ejpam-6967	118	15	,	,	PUNCT
ejpam-6967	118	16	a(0	a(0	PROPN
ejpam-6967	118	17	)	)	PUNCT
ejpam-6967	118	18	≥	≥	NOUN
ejpam-6967	118	19	0	0	NUM
ejpam-6967	118	20	,	,	PUNCT
ejpam-6967	118	21	q(0	q(0	PROPN
ejpam-6967	118	22	)	)	PUNCT
ejpam-6967	118	23	≥	≥	NOUN
ejpam-6967	118	24	0	0	NUM
ejpam-6967	118	25	,	,	PUNCT
ejpam-6967	118	26	r(0	r(0	PROPN
ejpam-6967	118	27	)	)	PUNCT
ejpam-6967	118	28	≥	≥	NOUN
ejpam-6967	118	29	0	0	NUM
ejpam-6967	118	30	,	,	PUNCT
ejpam-6967	118	31	and	and	CCONJ
ejpam-6967	118	32	d(0	d(0	NOUN
ejpam-6967	118	33	)	)	PUNCT
ejpam-6967	118	34	≥	≥	NOUN
ejpam-6967	118	35	0	0	NUM
ejpam-6967	118	36	.	.	PUNCT
ejpam-6967	119	1	then	then	ADV
ejpam-6967	119	2	,	,	PUNCT
ejpam-6967	119	3	the	the	DET
ejpam-6967	119	4	solution	solution	NOUN
ejpam-6967	119	5	(	(	PUNCT
ejpam-6967	119	6	s(t	s(t	PROPN
ejpam-6967	119	7	)	)	PUNCT
ejpam-6967	119	8	,	,	PUNCT
ejpam-6967	119	9	l(t	l(t	PROPN
ejpam-6967	119	10	)	)	PUNCT
ejpam-6967	119	11	,	,	PUNCT
ejpam-6967	119	12	a(t	a(t	NOUN
ejpam-6967	119	13	)	)	PUNCT
ejpam-6967	119	14	,	,	PUNCT
ejpam-6967	119	15	q(t	q(t	PROPN
ejpam-6967	119	16	)	)	PUNCT
ejpam-6967	119	17	,	,	PUNCT
ejpam-6967	119	18	r(t	r(t	NOUN
ejpam-6967	119	19	)	)	PUNCT
ejpam-6967	119	20	,	,	PUNCT
ejpam-6967	119	21	d(t	d(t	PROPN
ejpam-6967	119	22	)	)	PUNCT
ejpam-6967	119	23	)	)	PUNCT
ejpam-6967	119	24	of	of	ADP
ejpam-6967	119	25	the	the	DET
ejpam-6967	119	26	system	system	NOUN
ejpam-6967	119	27	(	(	PUNCT
ejpam-6967	119	28	1	1	NUM
ejpam-6967	119	29	)	)	PUNCT
ejpam-6967	119	30	,	,	PUNCT
ejpam-6967	119	31	remains	remain	VERB
ejpam-6967	119	32	non	non	ADJ
ejpam-6967	119	33	-	-	ADJ
ejpam-6967	119	34	negative	negative	ADJ
ejpam-6967	119	35	for	for	ADP
ejpam-6967	119	36	all	all	DET
ejpam-6967	119	37	t	t	PROPN
ejpam-6967	119	38	≥	≥	NOUN
ejpam-6967	119	39	0	0	NUM
ejpam-6967	119	40	.	.	PUNCT
ejpam-6967	120	1	proof	proof	NOUN
ejpam-6967	120	2	.	.	PUNCT
ejpam-6967	121	1	the	the	DET
ejpam-6967	121	2	system	system	NOUN
ejpam-6967	121	3	is	be	AUX
ejpam-6967	121	4	continuous	continuous	ADJ
ejpam-6967	121	5	and	and	CCONJ
ejpam-6967	121	6	differentiable	differentiable	ADJ
ejpam-6967	121	7	.	.	PUNCT
ejpam-6967	122	1	we	we	PRON
ejpam-6967	122	2	proceed	proceed	VERB
ejpam-6967	122	3	by	by	ADP
ejpam-6967	122	4	contradiction	contradiction	NOUN
ejpam-6967	122	5	.	.	PUNCT
ejpam-6967	123	1	suppose	suppose	VERB
ejpam-6967	123	2	there	there	PRON
ejpam-6967	123	3	exists	exist	VERB
ejpam-6967	123	4	a	a	DET
ejpam-6967	123	5	smallest	small	ADJ
ejpam-6967	123	6	time	time	NOUN
ejpam-6967	123	7	t∗	t∗	X
ejpam-6967	123	8	>	>	X
ejpam-6967	123	9	0	0	NUM
ejpam-6967	123	10	such	such	ADJ
ejpam-6967	123	11	that	that	SCONJ
ejpam-6967	123	12	at	at	ADV
ejpam-6967	123	13	least	least	ADJ
ejpam-6967	123	14	one	one	NUM
ejpam-6967	123	15	of	of	ADP
ejpam-6967	123	16	the	the	DET
ejpam-6967	123	17	state	state	NOUN
ejpam-6967	123	18	variables	variable	NOUN
ejpam-6967	123	19	becomes	become	VERB
ejpam-6967	123	20	negative	negative	ADJ
ejpam-6967	123	21	.	.	PUNCT
ejpam-6967	124	1	consider	consider	VERB
ejpam-6967	124	2	s(t	s(t	PROPN
ejpam-6967	124	3	):	):	PUNCT
ejpam-6967	124	4	ds	ds	ADJ
ejpam-6967	124	5	dt	dt	NOUN
ejpam-6967	124	6	=	=	SYM
ejpam-6967	124	7	λ−	λ−	PROPN
ejpam-6967	124	8	β1sa−	β1sa−	SYM
ejpam-6967	124	9	β2sl−	β2sl−	PROPN
ejpam-6967	124	10	γs	γs	X
ejpam-6967	124	11	−	−	PROPN
ejpam-6967	124	12	µs	µs	PUNCT
ejpam-6967	124	13	≥	≥	NOUN
ejpam-6967	124	14	λ−	λ−	PROPN
ejpam-6967	124	15	(	(	PUNCT
ejpam-6967	124	16	β1a+	β1a+	NOUN
ejpam-6967	124	17	β2l+	β2l+	X
ejpam-6967	124	18	γ	γ	NOUN
ejpam-6967	124	19	+	+	NOUN
ejpam-6967	124	20	µ)s	µ)s	NOUN
ejpam-6967	124	21	.	.	PUNCT
ejpam-6967	125	1	since	since	SCONJ
ejpam-6967	125	2	s(0	s(0	PROPN
ejpam-6967	125	3	)	)	PUNCT
ejpam-6967	125	4	≥	≥	NOUN
ejpam-6967	125	5	0	0	NUM
ejpam-6967	125	6	and	and	CCONJ
ejpam-6967	125	7	the	the	DET
ejpam-6967	125	8	right	right	ADJ
ejpam-6967	125	9	-	-	PUNCT
ejpam-6967	125	10	hand	hand	NOUN
ejpam-6967	125	11	side	side	NOUN
ejpam-6967	125	12	is	be	AUX
ejpam-6967	125	13	a	a	DET
ejpam-6967	125	14	linear	linear	ADJ
ejpam-6967	125	15	function	function	NOUN
ejpam-6967	125	16	decreasing	decrease	VERB
ejpam-6967	125	17	in	in	ADP
ejpam-6967	125	18	s	s	PROPN
ejpam-6967	125	19	,	,	PUNCT
ejpam-6967	125	20	gronwall	gronwall	PROPN
ejpam-6967	125	21	’s	’s	PART
ejpam-6967	125	22	inequality	inequality	NOUN
ejpam-6967	125	23	ensures	ensure	VERB
ejpam-6967	125	24	that	that	SCONJ
ejpam-6967	125	25	s(t	s(t	PROPN
ejpam-6967	125	26	)	)	PUNCT
ejpam-6967	125	27	remains	remain	VERB
ejpam-6967	125	28	non	non	ADJ
ejpam-6967	125	29	-	-	ADJ
ejpam-6967	125	30	negative	negative	ADJ
ejpam-6967	125	31	.	.	PUNCT
ejpam-6967	126	1	similarly	similarly	ADV
ejpam-6967	126	2	,	,	PUNCT
ejpam-6967	126	3	for	for	ADP
ejpam-6967	126	4	l(t	l(t	NOUN
ejpam-6967	126	5	):	):	PUNCT
ejpam-6967	126	6	dl	dl	PROPN
ejpam-6967	126	7	dt	dt	NOUN
ejpam-6967	127	1	=	=	PUNCT
ejpam-6967	128	1	β1sa+	β1sa+	PROPN
ejpam-6967	128	2	β2sl+	β2sl+	PRON
ejpam-6967	128	3	γs	γs	X
ejpam-6967	128	4	−	−	PROPN
ejpam-6967	128	5	(	(	PUNCT
ejpam-6967	128	6	σ	σ	PROPN
ejpam-6967	128	7	+	+	X
ejpam-6967	128	8	µ+	µ+	X
ejpam-6967	128	9	α)l	α)l	ADJ
ejpam-6967	128	10	.	.	PUNCT
ejpam-6967	129	1	all	all	DET
ejpam-6967	129	2	terms	term	NOUN
ejpam-6967	129	3	are	be	AUX
ejpam-6967	129	4	non	non	ADJ
ejpam-6967	129	5	-	-	ADJ
ejpam-6967	129	6	negative	negative	ADJ
ejpam-6967	129	7	except	except	SCONJ
ejpam-6967	129	8	for	for	ADP
ejpam-6967	129	9	the	the	DET
ejpam-6967	129	10	linear	linear	ADJ
ejpam-6967	129	11	loss	loss	NOUN
ejpam-6967	129	12	term	term	NOUN
ejpam-6967	129	13	,	,	PUNCT
ejpam-6967	129	14	which	which	PRON
ejpam-6967	129	15	ensures	ensure	VERB
ejpam-6967	129	16	l(t	l(t	NOUN
ejpam-6967	129	17	)	)	PUNCT
ejpam-6967	129	18	remains	remain	VERB
ejpam-6967	129	19	non	non	ADJ
ejpam-6967	129	20	-	-	ADJ
ejpam-6967	129	21	negative	negative	ADJ
ejpam-6967	129	22	by	by	ADP
ejpam-6967	129	23	the	the	DET
ejpam-6967	129	24	same	same	ADJ
ejpam-6967	129	25	reasoning	reasoning	NOUN
ejpam-6967	129	26	.	.	PUNCT
ejpam-6967	130	1	the	the	DET
ejpam-6967	130	2	same	same	ADJ
ejpam-6967	130	3	approach	approach	NOUN
ejpam-6967	130	4	applies	apply	VERB
ejpam-6967	130	5	to	to	PART
ejpam-6967	130	6	a(t	a(t	VERB
ejpam-6967	130	7	)	)	PUNCT
ejpam-6967	130	8	,	,	PUNCT
ejpam-6967	130	9	q(t	q(t	PROPN
ejpam-6967	130	10	)	)	PUNCT
ejpam-6967	130	11	,	,	PUNCT
ejpam-6967	130	12	r(t	r(t	NOUN
ejpam-6967	130	13	)	)	PUNCT
ejpam-6967	130	14	,	,	PUNCT
ejpam-6967	130	15	and	and	CCONJ
ejpam-6967	130	16	d(t	d(t	PROPN
ejpam-6967	130	17	)	)	PUNCT
ejpam-6967	130	18	.	.	PUNCT
ejpam-6967	131	1	in	in	ADP
ejpam-6967	131	2	each	each	DET
ejpam-6967	131	3	case	case	NOUN
ejpam-6967	131	4	,	,	PUNCT
ejpam-6967	131	5	the	the	DET
ejpam-6967	131	6	growth	growth	NOUN
ejpam-6967	131	7	terms	term	NOUN
ejpam-6967	131	8	are	be	AUX
ejpam-6967	131	9	either	either	DET
ejpam-6967	131	10	zero	zero	NUM
ejpam-6967	131	11	or	or	CCONJ
ejpam-6967	131	12	positive	positive	ADJ
ejpam-6967	131	13	,	,	PUNCT
ejpam-6967	131	14	and	and	CCONJ
ejpam-6967	131	15	the	the	DET
ejpam-6967	131	16	loss	loss	NOUN
ejpam-6967	131	17	terms	term	NOUN
ejpam-6967	131	18	are	be	AUX
ejpam-6967	131	19	linear	linear	ADJ
ejpam-6967	131	20	in	in	ADP
ejpam-6967	131	21	the	the	DET
ejpam-6967	131	22	respective	respective	ADJ
ejpam-6967	131	23	variable	variable	NOUN
ejpam-6967	131	24	.	.	PUNCT
ejpam-6967	132	1	therefore	therefore	ADV
ejpam-6967	132	2	,	,	PUNCT
ejpam-6967	132	3	no	no	DET
ejpam-6967	132	4	variable	variable	NOUN
ejpam-6967	132	5	can	can	AUX
ejpam-6967	132	6	become	become	VERB
ejpam-6967	132	7	negative	negative	ADJ
ejpam-6967	132	8	if	if	SCONJ
ejpam-6967	132	9	it	it	PRON
ejpam-6967	132	10	starts	start	VERB
ejpam-6967	132	11	non	non	ADJ
ejpam-6967	132	12	-	-	ADJ
ejpam-6967	132	13	negative	negative	ADJ
ejpam-6967	132	14	.	.	PUNCT
ejpam-6967	133	1	this	this	PRON
ejpam-6967	133	2	contradicts	contradict	VERB
ejpam-6967	133	3	the	the	DET
ejpam-6967	133	4	assumption	assumption	NOUN
ejpam-6967	133	5	that	that	SCONJ
ejpam-6967	133	6	a	a	DET
ejpam-6967	133	7	state	state	NOUN
ejpam-6967	133	8	variable	variable	NOUN
ejpam-6967	133	9	could	could	AUX
ejpam-6967	133	10	be	be	AUX
ejpam-6967	133	11	negative	negative	ADJ
ejpam-6967	133	12	at	at	ADP
ejpam-6967	133	13	some	some	DET
ejpam-6967	133	14	t∗	t∗	NOUN
ejpam-6967	133	15	>	>	X
ejpam-6967	133	16	0	0	NUM
ejpam-6967	133	17	.	.	PUNCT
ejpam-6967	134	1	hence	hence	ADV
ejpam-6967	134	2	,	,	PUNCT
ejpam-6967	134	3	all	all	DET
ejpam-6967	134	4	solutions	solution	NOUN
ejpam-6967	134	5	remain	remain	VERB
ejpam-6967	134	6	non	non	ADJ
ejpam-6967	134	7	-	-	ADJ
ejpam-6967	134	8	negative	negative	ADJ
ejpam-6967	134	9	for	for	ADP
ejpam-6967	134	10	all	all	DET
ejpam-6967	134	11	t	t	PROPN
ejpam-6967	134	12	≥	≥	NOUN
ejpam-6967	134	13	0	0	NUM
ejpam-6967	134	14	.	.	PUNCT
ejpam-6967	135	1	boundedness	boundedness	NOUN
ejpam-6967	135	2	of	of	ADP
ejpam-6967	135	3	the	the	DET
ejpam-6967	135	4	model	model	NOUN
ejpam-6967	135	5	to	to	PART
ejpam-6967	135	6	ensure	ensure	VERB
ejpam-6967	135	7	the	the	DET
ejpam-6967	135	8	biological	biological	ADJ
ejpam-6967	135	9	feasibility	feasibility	NOUN
ejpam-6967	135	10	of	of	ADP
ejpam-6967	135	11	the	the	DET
ejpam-6967	135	12	model	model	NOUN
ejpam-6967	135	13	,	,	PUNCT
ejpam-6967	135	14	it	it	PRON
ejpam-6967	135	15	is	be	AUX
ejpam-6967	135	16	necessary	necessary	ADJ
ejpam-6967	135	17	to	to	PART
ejpam-6967	135	18	verify	verify	VERB
ejpam-6967	135	19	that	that	SCONJ
ejpam-6967	135	20	all	all	DET
ejpam-6967	135	21	solutions	solution	NOUN
ejpam-6967	135	22	remain	remain	VERB
ejpam-6967	135	23	bounded	bounded	ADJ
ejpam-6967	135	24	over	over	ADP
ejpam-6967	135	25	time	time	NOUN
ejpam-6967	135	26	.	.	PUNCT
ejpam-6967	136	1	the	the	DET
ejpam-6967	136	2	following	follow	VERB
ejpam-6967	136	3	theorem	theorem	NOUN
ejpam-6967	136	4	establishes	establish	VERB
ejpam-6967	136	5	this	this	DET
ejpam-6967	136	6	property	property	NOUN
ejpam-6967	136	7	.	.	PUNCT
ejpam-6967	137	1	theorem	theorem	NOUN
ejpam-6967	137	2	2	2	NUM
ejpam-6967	137	3	.	.	PUNCT
ejpam-6967	138	1	let	let	VERB
ejpam-6967	138	2	the	the	DET
ejpam-6967	138	3	initial	initial	ADJ
ejpam-6967	138	4	values	value	NOUN
ejpam-6967	138	5	s(0	s(0	PROPN
ejpam-6967	138	6	)	)	PUNCT
ejpam-6967	138	7	,	,	PUNCT
ejpam-6967	138	8	l(0	l(0	PROPN
ejpam-6967	138	9	)	)	PUNCT
ejpam-6967	138	10	,	,	PUNCT
ejpam-6967	138	11	a(0	a(0	PROPN
ejpam-6967	138	12	)	)	PUNCT
ejpam-6967	138	13	,	,	PUNCT
ejpam-6967	138	14	q(0	q(0	PROPN
ejpam-6967	138	15	)	)	PUNCT
ejpam-6967	138	16	,	,	PUNCT
ejpam-6967	138	17	r(0	r(0	PROPN
ejpam-6967	138	18	)	)	PUNCT
ejpam-6967	138	19	,	,	PUNCT
ejpam-6967	138	20	d(0	d(0	PROPN
ejpam-6967	138	21	)	)	PUNCT
ejpam-6967	138	22	be	be	VERB
ejpam-6967	138	23	non	non	ADJ
ejpam-6967	138	24	-	-	ADJ
ejpam-6967	138	25	negative	negative	ADJ
ejpam-6967	138	26	.	.	PUNCT
ejpam-6967	139	1	then	then	ADV
ejpam-6967	139	2	,	,	PUNCT
ejpam-6967	139	3	the	the	DET
ejpam-6967	139	4	solution	solution	NOUN
ejpam-6967	139	5	(	(	PUNCT
ejpam-6967	139	6	s(t	s(t	PROPN
ejpam-6967	139	7	)	)	PUNCT
ejpam-6967	139	8	,	,	PUNCT
ejpam-6967	139	9	l(t	l(t	PROPN
ejpam-6967	139	10	)	)	PUNCT
ejpam-6967	139	11	,	,	PUNCT
ejpam-6967	139	12	a(t	a(t	NOUN
ejpam-6967	139	13	)	)	PUNCT
ejpam-6967	139	14	,	,	PUNCT
ejpam-6967	139	15	q(t	q(t	PROPN
ejpam-6967	139	16	)	)	PUNCT
ejpam-6967	139	17	,	,	PUNCT
ejpam-6967	139	18	r(t	r(t	NOUN
ejpam-6967	139	19	)	)	PUNCT
ejpam-6967	139	20	,	,	PUNCT
ejpam-6967	139	21	d(t	d(t	PROPN
ejpam-6967	139	22	)	)	PUNCT
ejpam-6967	139	23	)	)	PUNCT
ejpam-6967	139	24	of	of	ADP
ejpam-6967	139	25	the	the	DET
ejpam-6967	139	26	system	system	NOUN
ejpam-6967	139	27	is	be	AUX
ejpam-6967	139	28	bounded	bound	VERB
ejpam-6967	139	29	for	for	ADP
ejpam-6967	139	30	all	all	DET
ejpam-6967	139	31	t	t	PROPN
ejpam-6967	139	32	≥	≥	NOUN
ejpam-6967	139	33	0	0	NUM
ejpam-6967	139	34	.	.	PUNCT
ejpam-6967	140	1	proof	proof	NOUN
ejpam-6967	140	2	.	.	PUNCT
ejpam-6967	141	1	let	let	VERB
ejpam-6967	141	2	us	we	PRON
ejpam-6967	141	3	define	define	VERB
ejpam-6967	141	4	the	the	DET
ejpam-6967	141	5	total	total	ADJ
ejpam-6967	141	6	population	population	NOUN
ejpam-6967	141	7	function	function	NOUN
ejpam-6967	141	8	:	:	PUNCT
ejpam-6967	141	9	n(t	n(t	X
ejpam-6967	141	10	)	)	PUNCT
ejpam-6967	141	11	=	=	SYM
ejpam-6967	141	12	s(t	s(t	PROPN
ejpam-6967	141	13	)	)	PUNCT
ejpam-6967	141	14	+	+	NUM
ejpam-6967	141	15	l(t	l(t	NOUN
ejpam-6967	141	16	)	)	PUNCT
ejpam-6967	142	1	+	+	NOUN
ejpam-6967	142	2	a(t	a(t	NOUN
ejpam-6967	142	3	)	)	PUNCT
ejpam-6967	142	4	+	+	NOUN
ejpam-6967	142	5	q(t	q(t	ADJ
ejpam-6967	142	6	)	)	PUNCT
ejpam-6967	142	7	+	+	NOUN
ejpam-6967	142	8	r(t	r(t	NOUN
ejpam-6967	142	9	)	)	PUNCT
ejpam-6967	143	1	+	+	VERB
ejpam-6967	143	2	d(t	d(t	PROPN
ejpam-6967	143	3	)	)	PUNCT
ejpam-6967	143	4	.	.	PUNCT
ejpam-6967	144	1	differentiating	differentiate	VERB
ejpam-6967	144	2	n(t	n(t	PROPN
ejpam-6967	144	3	)	)	PUNCT
ejpam-6967	144	4	with	with	ADP
ejpam-6967	144	5	respect	respect	NOUN
ejpam-6967	144	6	to	to	ADP
ejpam-6967	144	7	time	time	NOUN
ejpam-6967	144	8	,	,	PUNCT
ejpam-6967	144	9	we	we	PRON
ejpam-6967	144	10	have	have	VERB
ejpam-6967	144	11	:	:	PUNCT
ejpam-6967	145	1	dn	dn	NOUN
ejpam-6967	145	2	dt	dt	NOUN
ejpam-6967	146	1	=	=	SYM
ejpam-6967	146	2	λ−	λ−	PROPN
ejpam-6967	146	3	µn(t	µn(t	NUM
ejpam-6967	146	4	)	)	PUNCT
ejpam-6967	146	5	.	.	PUNCT
ejpam-6967	147	1	this	this	PRON
ejpam-6967	147	2	is	be	AUX
ejpam-6967	147	3	a	a	DET
ejpam-6967	147	4	linear	linear	ADJ
ejpam-6967	147	5	differential	differential	NOUN
ejpam-6967	147	6	inequality	inequality	NOUN
ejpam-6967	147	7	:	:	PUNCT
ejpam-6967	147	8	dn	dn	NOUN
ejpam-6967	147	9	dt	dt	NOUN
ejpam-6967	147	10	≤	≤	PROPN
ejpam-6967	147	11	λ−	λ−	PROPN
ejpam-6967	147	12	µn(t	µn(t	NUM
ejpam-6967	147	13	)	)	PUNCT
ejpam-6967	147	14	.	.	PUNCT
ejpam-6967	148	1	solving	solve	VERB
ejpam-6967	148	2	this	this	DET
ejpam-6967	148	3	differential	differential	ADJ
ejpam-6967	148	4	inequality	inequality	NOUN
ejpam-6967	148	5	using	use	VERB
ejpam-6967	148	6	standard	standard	ADJ
ejpam-6967	148	7	techniques	technique	NOUN
ejpam-6967	148	8	,	,	PUNCT
ejpam-6967	148	9	we	we	PRON
ejpam-6967	148	10	obtain	obtain	VERB
ejpam-6967	148	11	:	:	PUNCT
ejpam-6967	148	12	n(t	n(t	NUM
ejpam-6967	148	13	)	)	PUNCT
ejpam-6967	148	14	≤	≤	NUM
ejpam-6967	148	15	n(0)e−µt	n(0)e−µt	VERB
ejpam-6967	149	1	+	+	X
ejpam-6967	149	2	λ	λ	X
ejpam-6967	149	3	µ	µ	X
ejpam-6967	149	4	(	(	PUNCT
ejpam-6967	149	5	1−	1−	NUM
ejpam-6967	149	6	e−µt	e−µt	PROPN
ejpam-6967	149	7	)	)	PUNCT
ejpam-6967	149	8	.	.	PUNCT
ejpam-6967	150	1	g.	g.	PROPN
ejpam-6967	150	2	ali	ali	PROPN
ejpam-6967	150	3	et	et	PROPN
ejpam-6967	150	4	al	al	PROPN
ejpam-6967	150	5	.	.	PUNCT
ejpam-6967	150	6	/	/	SYM
ejpam-6967	150	7	eur	eur	PROPN
ejpam-6967	150	8	.	.	PUNCT
ejpam-6967	151	1	j.	j.	PROPN
ejpam-6967	151	2	pure	pure	PROPN
ejpam-6967	151	3	appl	appl	PROPN
ejpam-6967	151	4	.	.	PROPN
ejpam-6967	151	5	math	math	PROPN
ejpam-6967	151	6	,	,	PUNCT
ejpam-6967	151	7	18	18	NUM
ejpam-6967	151	8	(	(	PUNCT
ejpam-6967	151	9	4	4	NUM
ejpam-6967	151	10	)	)	PUNCT
ejpam-6967	151	11	(	(	PUNCT
ejpam-6967	151	12	2025	2025	NUM
ejpam-6967	151	13	)	)	PUNCT
ejpam-6967	151	14	,	,	PUNCT
ejpam-6967	151	15	6967	6967	NUM
ejpam-6967	151	16	9	9	NUM
ejpam-6967	151	17	of	of	ADP
ejpam-6967	151	18	29	29	NUM
ejpam-6967	151	19	therefore	therefore	ADV
ejpam-6967	151	20	,	,	PUNCT
ejpam-6967	151	21	as	as	ADP
ejpam-6967	151	22	t	t	PROPN
ejpam-6967	151	23	→	→	SYM
ejpam-6967	151	24	∞	∞	PROPN
ejpam-6967	151	25	,	,	PUNCT
ejpam-6967	151	26	lim	lim	PROPN
ejpam-6967	151	27	sup	sup	NOUN
ejpam-6967	151	28	t→∞	t→∞	PRON
ejpam-6967	151	29	n(t	n(t	NOUN
ejpam-6967	151	30	)	)	PUNCT
ejpam-6967	151	31	≤	≤	NUM
ejpam-6967	151	32	λ	λ	PROPN
ejpam-6967	151	33	µ	µ	X
ejpam-6967	151	34	.	.	PUNCT
ejpam-6967	152	1	hence	hence	ADV
ejpam-6967	152	2	,	,	PUNCT
ejpam-6967	152	3	the	the	DET
ejpam-6967	152	4	total	total	ADJ
ejpam-6967	152	5	population	population	NOUN
ejpam-6967	152	6	n(t	n(t	NOUN
ejpam-6967	152	7	)	)	PUNCT
ejpam-6967	152	8	is	be	AUX
ejpam-6967	152	9	uniformly	uniformly	ADV
ejpam-6967	152	10	bounded	bound	VERB
ejpam-6967	152	11	above	above	ADV
ejpam-6967	152	12	by	by	ADP
ejpam-6967	152	13	a	a	DET
ejpam-6967	152	14	constant	constant	ADJ
ejpam-6967	152	15	,	,	PUNCT
ejpam-6967	152	16	and	and	CCONJ
ejpam-6967	152	17	since	since	SCONJ
ejpam-6967	152	18	each	each	DET
ejpam-6967	152	19	state	state	NOUN
ejpam-6967	152	20	variable	variable	NOUN
ejpam-6967	152	21	is	be	AUX
ejpam-6967	152	22	non	non	ADJ
ejpam-6967	152	23	-	-	ADJ
ejpam-6967	152	24	negative	negative	ADJ
ejpam-6967	152	25	and	and	CCONJ
ejpam-6967	152	26	part	part	NOUN
ejpam-6967	152	27	of	of	ADP
ejpam-6967	152	28	the	the	DET
ejpam-6967	152	29	total	total	ADJ
ejpam-6967	152	30	population	population	NOUN
ejpam-6967	152	31	,	,	PUNCT
ejpam-6967	152	32	all	all	DET
ejpam-6967	152	33	individual	individual	ADJ
ejpam-6967	152	34	compartments	compartment	NOUN
ejpam-6967	152	35	are	be	AUX
ejpam-6967	152	36	also	also	ADV
ejpam-6967	152	37	bounded	bound	VERB
ejpam-6967	152	38	:	:	PUNCT
ejpam-6967	152	39	0	0	NUM
ejpam-6967	152	40	≤	≤	NUM
ejpam-6967	152	41	s(t	s(t	PROPN
ejpam-6967	152	42	)	)	PUNCT
ejpam-6967	152	43	,	,	PUNCT
ejpam-6967	152	44	l(t	l(t	PROPN
ejpam-6967	152	45	)	)	PUNCT
ejpam-6967	152	46	,	,	PUNCT
ejpam-6967	152	47	a(t	a(t	NOUN
ejpam-6967	152	48	)	)	PUNCT
ejpam-6967	152	49	,	,	PUNCT
ejpam-6967	152	50	q(t	q(t	PROPN
ejpam-6967	152	51	)	)	PUNCT
ejpam-6967	152	52	,	,	PUNCT
ejpam-6967	152	53	r(t	r(t	NOUN
ejpam-6967	152	54	)	)	PUNCT
ejpam-6967	152	55	,	,	PUNCT
ejpam-6967	152	56	d(t	d(t	PROPN
ejpam-6967	152	57	)	)	PUNCT
ejpam-6967	152	58	≤	≤	NUM
ejpam-6967	153	1	λ	λ	PROPN
ejpam-6967	153	2	µ	µ	X
ejpam-6967	153	3	,	,	PUNCT
ejpam-6967	153	4	∀t	∀t	PROPN
ejpam-6967	153	5	≥	≥	NOUN
ejpam-6967	153	6	0	0	NUM
ejpam-6967	153	7	.	.	PUNCT
ejpam-6967	153	8	feasible	feasible	ADJ
ejpam-6967	153	9	region	region	NOUN
ejpam-6967	153	10	to	to	PART
ejpam-6967	153	11	analyze	analyze	VERB
ejpam-6967	153	12	the	the	DET
ejpam-6967	153	13	dynamics	dynamic	NOUN
ejpam-6967	153	14	of	of	ADP
ejpam-6967	153	15	the	the	DET
ejpam-6967	153	16	model	model	NOUN
ejpam-6967	153	17	,	,	PUNCT
ejpam-6967	153	18	it	it	PRON
ejpam-6967	153	19	is	be	AUX
ejpam-6967	153	20	necessary	necessary	ADJ
ejpam-6967	153	21	to	to	PART
ejpam-6967	153	22	define	define	VERB
ejpam-6967	153	23	the	the	DET
ejpam-6967	153	24	domain	domain	NOUN
ejpam-6967	153	25	in	in	ADP
ejpam-6967	153	26	which	which	PRON
ejpam-6967	153	27	all	all	DET
ejpam-6967	153	28	state	state	NOUN
ejpam-6967	153	29	variables	variable	NOUN
ejpam-6967	153	30	evolve	evolve	VERB
ejpam-6967	153	31	over	over	ADP
ejpam-6967	153	32	time	time	NOUN
ejpam-6967	153	33	.	.	PUNCT
ejpam-6967	154	1	theorem	theorem	NOUN
ejpam-6967	154	2	3	3	X
ejpam-6967	154	3	.	.	PUNCT
ejpam-6967	155	1	let	let	VERB
ejpam-6967	155	2	the	the	DET
ejpam-6967	155	3	initial	initial	ADJ
ejpam-6967	155	4	conditions	condition	NOUN
ejpam-6967	155	5	satisfy	satisfy	VERB
ejpam-6967	155	6	s(0	s(0	PROPN
ejpam-6967	155	7	)	)	PUNCT
ejpam-6967	155	8	,	,	PUNCT
ejpam-6967	155	9	l(0	l(0	PROPN
ejpam-6967	155	10	)	)	PUNCT
ejpam-6967	155	11	,	,	PUNCT
ejpam-6967	155	12	a(0	a(0	PROPN
ejpam-6967	155	13	)	)	PUNCT
ejpam-6967	155	14	,	,	PUNCT
ejpam-6967	155	15	q(0	q(0	PROPN
ejpam-6967	155	16	)	)	PUNCT
ejpam-6967	155	17	,	,	PUNCT
ejpam-6967	155	18	r(0	r(0	PROPN
ejpam-6967	155	19	)	)	PUNCT
ejpam-6967	155	20	,	,	PUNCT
ejpam-6967	155	21	d(0	d(0	PROPN
ejpam-6967	155	22	)	)	PUNCT
ejpam-6967	155	23	≥	≥	NOUN
ejpam-6967	155	24	0	0	NUM
ejpam-6967	155	25	and	and	CCONJ
ejpam-6967	155	26	the	the	DET
ejpam-6967	155	27	total	total	ADJ
ejpam-6967	155	28	initial	initial	ADJ
ejpam-6967	155	29	population	population	NOUN
ejpam-6967	155	30	n(0	n(0	PROPN
ejpam-6967	155	31	)	)	PUNCT
ejpam-6967	155	32	=	=	SYM
ejpam-6967	155	33	s(0)+l(0)+a(0)+q(0)+r(0)+d(0	s(0)+l(0)+a(0)+q(0)+r(0)+d(0	PROPN
ejpam-6967	155	34	)	)	PUNCT
ejpam-6967	156	1	≤	≤	NUM
ejpam-6967	157	1	λ	λ	PROPN
ejpam-6967	157	2	µ	µ	NOUN
ejpam-6967	157	3	.	.	PUNCT
ejpam-6967	158	1	then	then	ADV
ejpam-6967	158	2	the	the	DET
ejpam-6967	158	3	solution	solution	NOUN
ejpam-6967	158	4	(	(	PUNCT
ejpam-6967	158	5	s(t	s(t	PROPN
ejpam-6967	158	6	)	)	PUNCT
ejpam-6967	158	7	,	,	PUNCT
ejpam-6967	158	8	l(t	l(t	PROPN
ejpam-6967	158	9	)	)	PUNCT
ejpam-6967	158	10	,	,	PUNCT
ejpam-6967	158	11	a(t	a(t	NOUN
ejpam-6967	158	12	)	)	PUNCT
ejpam-6967	158	13	,	,	PUNCT
ejpam-6967	158	14	q(t	q(t	PROPN
ejpam-6967	158	15	)	)	PUNCT
ejpam-6967	158	16	,	,	PUNCT
ejpam-6967	158	17	r(t	r(t	NOUN
ejpam-6967	158	18	)	)	PUNCT
ejpam-6967	158	19	,	,	PUNCT
ejpam-6967	158	20	d(t	d(t	PROPN
ejpam-6967	158	21	)	)	PUNCT
ejpam-6967	158	22	)	)	PUNCT
ejpam-6967	158	23	of	of	ADP
ejpam-6967	158	24	the	the	DET
ejpam-6967	158	25	system	system	NOUN
ejpam-6967	158	26	remains	remain	VERB
ejpam-6967	158	27	in	in	ADP
ejpam-6967	158	28	the	the	DET
ejpam-6967	158	29	positively	positively	ADV
ejpam-6967	158	30	invariant	invariant	ADJ
ejpam-6967	158	31	set	set	NOUN
ejpam-6967	158	32	ω	ω	PROPN
ejpam-6967	158	33	=	=	SYM
ejpam-6967	158	34	{	{	PUNCT
ejpam-6967	158	35	(	(	PUNCT
ejpam-6967	158	36	s	s	X
ejpam-6967	158	37	,	,	PUNCT
ejpam-6967	158	38	l	l	NOUN
ejpam-6967	158	39	,	,	PUNCT
ejpam-6967	158	40	a	a	DET
ejpam-6967	158	41	,	,	PUNCT
ejpam-6967	158	42	q	q	NOUN
ejpam-6967	158	43	,	,	PUNCT
ejpam-6967	158	44	r	r	NOUN
ejpam-6967	158	45	,	,	PUNCT
ejpam-6967	158	46	d	d	NOUN
ejpam-6967	158	47	)	)	PUNCT
ejpam-6967	158	48	∈	∈	PROPN
ejpam-6967	158	49	r6	r6	NOUN
ejpam-6967	158	50	+	+	CCONJ
ejpam-6967	158	51	∣∣	∣∣	NUM
ejpam-6967	158	52	s	s	PART
ejpam-6967	158	53	+	+	CCONJ
ejpam-6967	158	54	l+a+q+r+d	l+a+q+r+d	ADJ
ejpam-6967	158	55	≤	≤	NUM
ejpam-6967	158	56	λ	λ	X
ejpam-6967	158	57	µ	µ	X
ejpam-6967	158	58	}	}	PUNCT
ejpam-6967	158	59	,	,	PUNCT
ejpam-6967	158	60	for	for	ADP
ejpam-6967	158	61	all	all	DET
ejpam-6967	158	62	t	t	PROPN
ejpam-6967	158	63	≥	≥	NOUN
ejpam-6967	158	64	0	0	NUM
ejpam-6967	158	65	.	.	PUNCT
ejpam-6967	159	1	proof	proof	NOUN
ejpam-6967	159	2	.	.	PUNCT
ejpam-6967	160	1	from	from	ADP
ejpam-6967	160	2	the	the	DET
ejpam-6967	160	3	boundedness	boundedness	NOUN
ejpam-6967	160	4	result	result	NOUN
ejpam-6967	160	5	,	,	PUNCT
ejpam-6967	160	6	we	we	PRON
ejpam-6967	160	7	have	have	AUX
ejpam-6967	160	8	shown	show	VERB
ejpam-6967	160	9	that	that	SCONJ
ejpam-6967	160	10	the	the	DET
ejpam-6967	160	11	total	total	ADJ
ejpam-6967	160	12	population	population	NOUN
ejpam-6967	160	13	function	function	VERB
ejpam-6967	160	14	n(t	n(t	PROPN
ejpam-6967	160	15	)	)	PUNCT
ejpam-6967	160	16	=	=	SYM
ejpam-6967	160	17	s(t	s(t	PROPN
ejpam-6967	160	18	)	)	PUNCT
ejpam-6967	160	19	+	+	NUM
ejpam-6967	160	20	l(t	l(t	NOUN
ejpam-6967	160	21	)	)	PUNCT
ejpam-6967	161	1	+	+	NOUN
ejpam-6967	161	2	a(t	a(t	NOUN
ejpam-6967	161	3	)	)	PUNCT
ejpam-6967	161	4	+	+	NOUN
ejpam-6967	161	5	q(t	q(t	ADJ
ejpam-6967	161	6	)	)	PUNCT
ejpam-6967	161	7	+	+	NOUN
ejpam-6967	161	8	r(t	r(t	NOUN
ejpam-6967	161	9	)	)	PUNCT
ejpam-6967	162	1	+	+	VERB
ejpam-6967	162	2	d(t	d(t	PROPN
ejpam-6967	162	3	)	)	PUNCT
ejpam-6967	162	4	,	,	PUNCT
ejpam-6967	162	5	satisfies	satisfy	VERB
ejpam-6967	162	6	the	the	DET
ejpam-6967	162	7	inequality	inequality	NOUN
ejpam-6967	162	8	dn	dn	PROPN
ejpam-6967	162	9	dt	dt	NOUN
ejpam-6967	162	10	≤	≤	PROPN
ejpam-6967	162	11	λ−	λ−	PROPN
ejpam-6967	162	12	µn(t	µn(t	NUM
ejpam-6967	162	13	)	)	PUNCT
ejpam-6967	162	14	.	.	PUNCT
ejpam-6967	163	1	by	by	ADP
ejpam-6967	163	2	solving	solve	VERB
ejpam-6967	163	3	this	this	DET
ejpam-6967	163	4	differential	differential	ADJ
ejpam-6967	163	5	inequality	inequality	NOUN
ejpam-6967	163	6	,	,	PUNCT
ejpam-6967	163	7	we	we	PRON
ejpam-6967	163	8	obtained	obtain	VERB
ejpam-6967	163	9	:	:	PUNCT
ejpam-6967	163	10	n(t	n(t	NUM
ejpam-6967	163	11	)	)	PUNCT
ejpam-6967	163	12	≤	≤	NUM
ejpam-6967	163	13	n(0)e−µt	n(0)e−µt	VERB
ejpam-6967	164	1	+	+	X
ejpam-6967	164	2	λ	λ	X
ejpam-6967	164	3	µ	µ	X
ejpam-6967	164	4	(	(	PUNCT
ejpam-6967	164	5	1−	1−	NUM
ejpam-6967	164	6	e−µt	e−µt	PROPN
ejpam-6967	164	7	)	)	PUNCT
ejpam-6967	164	8	≤	≤	NUM
ejpam-6967	165	1	λ	λ	PROPN
ejpam-6967	165	2	µ	µ	X
ejpam-6967	165	3	,	,	PUNCT
ejpam-6967	165	4	∀t	∀t	PROPN
ejpam-6967	165	5	≥	≥	NOUN
ejpam-6967	165	6	0	0	NUM
ejpam-6967	165	7	.	.	PUNCT
ejpam-6967	166	1	therefore	therefore	ADV
ejpam-6967	166	2	,	,	PUNCT
ejpam-6967	166	3	all	all	DET
ejpam-6967	166	4	solutions	solution	NOUN
ejpam-6967	166	5	starting	start	VERB
ejpam-6967	166	6	in	in	ADP
ejpam-6967	166	7	ω	ω	NUM
ejpam-6967	166	8	remain	remain	VERB
ejpam-6967	166	9	in	in	ADP
ejpam-6967	166	10	ω	ω	PROPN
ejpam-6967	166	11	for	for	ADP
ejpam-6967	166	12	all	all	DET
ejpam-6967	166	13	t	t	PROPN
ejpam-6967	166	14	≥	≥	NOUN
ejpam-6967	166	15	0	0	NUM
ejpam-6967	166	16	.	.	PUNCT
ejpam-6967	167	1	hence	hence	ADV
ejpam-6967	167	2	,	,	PUNCT
ejpam-6967	167	3	ω	ω	PROPN
ejpam-6967	167	4	is	be	AUX
ejpam-6967	167	5	positively	positively	ADV
ejpam-6967	167	6	invariant	invariant	ADJ
ejpam-6967	167	7	and	and	CCONJ
ejpam-6967	167	8	defines	define	VERB
ejpam-6967	167	9	the	the	DET
ejpam-6967	167	10	biologically	biologically	ADV
ejpam-6967	167	11	feasible	feasible	ADJ
ejpam-6967	167	12	region	region	NOUN
ejpam-6967	167	13	for	for	ADP
ejpam-6967	167	14	the	the	DET
ejpam-6967	167	15	model	model	NOUN
ejpam-6967	167	16	.	.	PUNCT
ejpam-6967	168	1	existence	existence	NOUN
ejpam-6967	168	2	and	and	CCONJ
ejpam-6967	168	3	uniqueness	uniqueness	NOUN
ejpam-6967	168	4	of	of	ADP
ejpam-6967	168	5	solutions	solution	NOUN
ejpam-6967	168	6	theorem	theorem	VERB
ejpam-6967	168	7	4	4	NUM
ejpam-6967	168	8	.	.	X
ejpam-6967	168	9	for	for	ADP
ejpam-6967	168	10	any	any	DET
ejpam-6967	168	11	given	give	VERB
ejpam-6967	168	12	initial	initial	ADJ
ejpam-6967	168	13	condition	condition	NOUN
ejpam-6967	168	14	(	(	PUNCT
ejpam-6967	168	15	s(0	s(0	PROPN
ejpam-6967	168	16	)	)	PUNCT
ejpam-6967	168	17	,	,	PUNCT
ejpam-6967	168	18	l(0	l(0	PROPN
ejpam-6967	168	19	)	)	PUNCT
ejpam-6967	168	20	,	,	PUNCT
ejpam-6967	168	21	a(0	a(0	PROPN
ejpam-6967	168	22	)	)	PUNCT
ejpam-6967	168	23	,	,	PUNCT
ejpam-6967	168	24	q(0	q(0	PROPN
ejpam-6967	168	25	)	)	PUNCT
ejpam-6967	168	26	,	,	PUNCT
ejpam-6967	168	27	r(0	r(0	PROPN
ejpam-6967	168	28	)	)	PUNCT
ejpam-6967	168	29	,	,	PUNCT
ejpam-6967	168	30	d(0	d(0	NOUN
ejpam-6967	168	31	)	)	PUNCT
ejpam-6967	168	32	)	)	PUNCT
ejpam-6967	169	1	∈	∈	PROPN
ejpam-6967	169	2	ω	ω	PROPN
ejpam-6967	169	3	,	,	PUNCT
ejpam-6967	169	4	the	the	DET
ejpam-6967	169	5	system	system	NOUN
ejpam-6967	169	6	admits	admit	VERB
ejpam-6967	169	7	a	a	DET
ejpam-6967	169	8	unique	unique	ADJ
ejpam-6967	169	9	solution	solution	NOUN
ejpam-6967	169	10	that	that	PRON
ejpam-6967	169	11	exists	exist	VERB
ejpam-6967	169	12	for	for	ADP
ejpam-6967	169	13	all	all	DET
ejpam-6967	169	14	t	t	PROPN
ejpam-6967	169	15	≥	≥	NOUN
ejpam-6967	169	16	0	0	PUNCT
ejpam-6967	169	17	and	and	CCONJ
ejpam-6967	169	18	remains	remain	VERB
ejpam-6967	169	19	in	in	ADP
ejpam-6967	169	20	the	the	DET
ejpam-6967	169	21	feasible	feasible	ADJ
ejpam-6967	169	22	region	region	NOUN
ejpam-6967	169	23	ω	ω	PROPN
ejpam-6967	169	24	.	.	PUNCT
ejpam-6967	170	1	g.	g.	PROPN
ejpam-6967	170	2	ali	ali	PROPN
ejpam-6967	170	3	et	et	PROPN
ejpam-6967	170	4	al	al	PROPN
ejpam-6967	170	5	.	.	PUNCT
ejpam-6967	170	6	/	/	SYM
ejpam-6967	170	7	eur	eur	PROPN
ejpam-6967	170	8	.	.	PUNCT
ejpam-6967	171	1	j.	j.	PROPN
ejpam-6967	171	2	pure	pure	PROPN
ejpam-6967	171	3	appl	appl	PROPN
ejpam-6967	171	4	.	.	PROPN
ejpam-6967	171	5	math	math	PROPN
ejpam-6967	171	6	,	,	PUNCT
ejpam-6967	171	7	18	18	NUM
ejpam-6967	171	8	(	(	PUNCT
ejpam-6967	171	9	4	4	NUM
ejpam-6967	171	10	)	)	PUNCT
ejpam-6967	171	11	(	(	PUNCT
ejpam-6967	171	12	2025	2025	NUM
ejpam-6967	171	13	)	)	PUNCT
ejpam-6967	171	14	,	,	PUNCT
ejpam-6967	171	15	6967	6967	NUM
ejpam-6967	171	16	10	10	NUM
ejpam-6967	171	17	of	of	ADP
ejpam-6967	171	18	29	29	NUM
ejpam-6967	171	19	proof	proof	NOUN
ejpam-6967	171	20	.	.	PUNCT
ejpam-6967	172	1	the	the	DET
ejpam-6967	172	2	right	right	ADJ
ejpam-6967	172	3	-	-	PUNCT
ejpam-6967	172	4	hand	hand	NOUN
ejpam-6967	172	5	side	side	NOUN
ejpam-6967	172	6	of	of	ADP
ejpam-6967	172	7	the	the	DET
ejpam-6967	172	8	system	system	NOUN
ejpam-6967	172	9	is	be	AUX
ejpam-6967	172	10	continuously	continuously	ADV
ejpam-6967	172	11	differentiable	differentiable	ADJ
ejpam-6967	172	12	with	with	ADP
ejpam-6967	172	13	respect	respect	NOUN
ejpam-6967	172	14	to	to	ADP
ejpam-6967	172	15	all	all	DET
ejpam-6967	172	16	state	state	NOUN
ejpam-6967	172	17	variables	variable	NOUN
ejpam-6967	172	18	.	.	PUNCT
ejpam-6967	173	1	therefore	therefore	ADV
ejpam-6967	173	2	,	,	PUNCT
ejpam-6967	173	3	by	by	ADP
ejpam-6967	173	4	the	the	DET
ejpam-6967	173	5	picard	picard	PROPN
ejpam-6967	173	6	lindelof	lindelof	PROPN
ejpam-6967	173	7	theorem	theorem	PROPN
ejpam-6967	173	8	(	(	PUNCT
ejpam-6967	173	9	also	also	ADV
ejpam-6967	173	10	known	know	VERB
ejpam-6967	173	11	as	as	ADP
ejpam-6967	173	12	the	the	DET
ejpam-6967	173	13	cauchy	cauchy	PROPN
ejpam-6967	173	14	–	–	PUNCT
ejpam-6967	173	15	lipschitz	lipschitz	NOUN
ejpam-6967	173	16	theorem	theorem	NOUN
ejpam-6967	173	17	)	)	PUNCT
ejpam-6967	173	18	,	,	PUNCT
ejpam-6967	173	19	there	there	PRON
ejpam-6967	173	20	exists	exist	VERB
ejpam-6967	173	21	a	a	DET
ejpam-6967	173	22	unique	unique	ADJ
ejpam-6967	173	23	local	local	ADJ
ejpam-6967	173	24	solution	solution	NOUN
ejpam-6967	173	25	for	for	ADP
ejpam-6967	173	26	any	any	DET
ejpam-6967	173	27	initial	initial	ADJ
ejpam-6967	173	28	condition	condition	NOUN
ejpam-6967	173	29	in	in	ADP
ejpam-6967	173	30	ω	ω	PROPN
ejpam-6967	173	31	.	.	PUNCT
ejpam-6967	174	1	since	since	SCONJ
ejpam-6967	174	2	we	we	PRON
ejpam-6967	174	3	have	have	AUX
ejpam-6967	174	4	already	already	ADV
ejpam-6967	174	5	proven	prove	VERB
ejpam-6967	174	6	that	that	SCONJ
ejpam-6967	174	7	all	all	DET
ejpam-6967	174	8	solutions	solution	NOUN
ejpam-6967	174	9	remain	remain	VERB
ejpam-6967	174	10	non	non	ADJ
ejpam-6967	174	11	-	-	ADJ
ejpam-6967	174	12	negative	negative	ADJ
ejpam-6967	174	13	and	and	CCONJ
ejpam-6967	174	14	bounded	bounded	ADJ
ejpam-6967	174	15	(	(	PUNCT
ejpam-6967	174	16	i.e.	i.e.	X
ejpam-6967	174	17	,	,	PUNCT
ejpam-6967	174	18	remain	remain	VERB
ejpam-6967	174	19	in	in	ADP
ejpam-6967	174	20	the	the	DET
ejpam-6967	174	21	compact	compact	ADJ
ejpam-6967	174	22	positively	positively	ADV
ejpam-6967	174	23	invariant	invariant	ADJ
ejpam-6967	174	24	set	set	VERB
ejpam-6967	174	25	ω	ω	NOUN
ejpam-6967	174	26	)	)	PUNCT
ejpam-6967	174	27	,	,	PUNCT
ejpam-6967	174	28	the	the	DET
ejpam-6967	174	29	local	local	ADJ
ejpam-6967	174	30	solution	solution	NOUN
ejpam-6967	174	31	can	can	AUX
ejpam-6967	174	32	be	be	AUX
ejpam-6967	174	33	extended	extend	VERB
ejpam-6967	174	34	to	to	ADP
ejpam-6967	174	35	a	a	DET
ejpam-6967	174	36	global	global	ADJ
ejpam-6967	174	37	solution	solution	NOUN
ejpam-6967	174	38	for	for	ADP
ejpam-6967	174	39	all	all	DET
ejpam-6967	174	40	t	t	PROPN
ejpam-6967	174	41	≥	≥	NOUN
ejpam-6967	174	42	0	0	NUM
ejpam-6967	174	43	.	.	PUNCT
ejpam-6967	175	1	hence	hence	ADV
ejpam-6967	175	2	,	,	PUNCT
ejpam-6967	175	3	the	the	DET
ejpam-6967	175	4	system	system	NOUN
ejpam-6967	175	5	has	have	VERB
ejpam-6967	175	6	a	a	DET
ejpam-6967	175	7	unique	unique	ADJ
ejpam-6967	175	8	global	global	ADJ
ejpam-6967	175	9	solution	solution	NOUN
ejpam-6967	175	10	in	in	ADP
ejpam-6967	175	11	the	the	DET
ejpam-6967	175	12	region	region	NOUN
ejpam-6967	175	13	ω	ω	PROPN
ejpam-6967	175	14	.	.	PUNCT
ejpam-6967	176	1	equilibrium	equilibrium	NOUN
ejpam-6967	176	2	analysis	analysis	NOUN
ejpam-6967	176	3	the	the	DET
ejpam-6967	176	4	equilibrium	equilibrium	NOUN
ejpam-6967	176	5	points	point	NOUN
ejpam-6967	176	6	of	of	ADP
ejpam-6967	176	7	the	the	DET
ejpam-6967	176	8	system	system	NOUN
ejpam-6967	176	9	represent	represent	VERB
ejpam-6967	176	10	steady	steady	ADJ
ejpam-6967	176	11	-	-	PUNCT
ejpam-6967	176	12	state	state	NOUN
ejpam-6967	176	13	conditions	condition	NOUN
ejpam-6967	176	14	where	where	SCONJ
ejpam-6967	176	15	the	the	DET
ejpam-6967	176	16	state	state	NOUN
ejpam-6967	176	17	variables	variable	NOUN
ejpam-6967	176	18	remain	remain	VERB
ejpam-6967	176	19	constant	constant	ADJ
ejpam-6967	176	20	over	over	ADP
ejpam-6967	176	21	time	time	NOUN
ejpam-6967	176	22	.	.	PUNCT
ejpam-6967	177	1	biologically	biologically	ADV
ejpam-6967	177	2	,	,	PUNCT
ejpam-6967	177	3	these	these	PRON
ejpam-6967	177	4	correspond	correspond	VERB
ejpam-6967	177	5	to	to	ADP
ejpam-6967	177	6	scenarios	scenario	NOUN
ejpam-6967	177	7	where	where	SCONJ
ejpam-6967	177	8	the	the	DET
ejpam-6967	177	9	system	system	NOUN
ejpam-6967	177	10	reaches	reach	VERB
ejpam-6967	177	11	a	a	DET
ejpam-6967	177	12	stable	stable	ADJ
ejpam-6967	177	13	configuration	configuration	NOUN
ejpam-6967	177	14	either	either	CCONJ
ejpam-6967	177	15	virus	virus	NOUN
ejpam-6967	177	16	-	-	PUNCT
ejpam-6967	177	17	free	free	ADJ
ejpam-6967	177	18	or	or	CCONJ
ejpam-6967	177	19	endemic	endemic	ADJ
ejpam-6967	177	20	.	.	PUNCT
ejpam-6967	178	1	2.3	2.3	NUM
ejpam-6967	178	2	.	.	PUNCT
ejpam-6967	178	3	disease	disease	NOUN
ejpam-6967	178	4	-	-	PUNCT
ejpam-6967	178	5	free	free	ADJ
ejpam-6967	178	6	equilibrium	equilibrium	NOUN
ejpam-6967	178	7	(	(	PUNCT
ejpam-6967	178	8	dfe	dfe	PROPN
ejpam-6967	178	9	)	)	PUNCT
ejpam-6967	178	10	theorem	theorem	VERB
ejpam-6967	178	11	5	5	NUM
ejpam-6967	178	12	.	.	PUNCT
ejpam-6967	179	1	the	the	DET
ejpam-6967	179	2	model	model	NOUN
ejpam-6967	179	3	admits	admit	VERB
ejpam-6967	179	4	a	a	DET
ejpam-6967	179	5	disease	disease	NOUN
ejpam-6967	179	6	-	-	PUNCT
ejpam-6967	179	7	free	free	ADJ
ejpam-6967	179	8	equilibrium	equilibrium	NOUN
ejpam-6967	179	9	point	point	NOUN
ejpam-6967	179	10	e0	e0	PROPN
ejpam-6967	179	11	=	=	SYM
ejpam-6967	179	12	(	(	PUNCT
ejpam-6967	179	13	s0	s0	PROPN
ejpam-6967	179	14	,	,	PUNCT
ejpam-6967	179	15	l0	l0	PROPN
ejpam-6967	179	16	,	,	PUNCT
ejpam-6967	179	17	a0	a0	PROPN
ejpam-6967	179	18	,	,	PUNCT
ejpam-6967	179	19	q0	q0	NOUN
ejpam-6967	179	20	,	,	PUNCT
ejpam-6967	179	21	r0	r0	NOUN
ejpam-6967	179	22	,	,	PUNCT
ejpam-6967	179	23	d0	d0	NOUN
ejpam-6967	179	24	)	)	PUNCT
ejpam-6967	179	25	given	give	VERB
ejpam-6967	179	26	by	by	ADP
ejpam-6967	179	27	:	:	PUNCT
ejpam-6967	179	28	e0	e0	PROPN
ejpam-6967	179	29	=	=	PUNCT
ejpam-6967	179	30	(	(	PUNCT
ejpam-6967	179	31	λ	λ	X
ejpam-6967	179	32	µ	µ	X
ejpam-6967	179	33	,	,	PUNCT
ejpam-6967	179	34	0	0	NUM
ejpam-6967	179	35	,	,	PUNCT
ejpam-6967	179	36	0	0	NUM
ejpam-6967	179	37	,	,	PUNCT
ejpam-6967	179	38	0	0	NUM
ejpam-6967	179	39	,	,	PUNCT
ejpam-6967	179	40	0	0	NUM
ejpam-6967	179	41	,	,	PUNCT
ejpam-6967	179	42	0	0	NUM
ejpam-6967	179	43	)	)	PUNCT
ejpam-6967	179	44	.	.	PUNCT
ejpam-6967	180	1	proof	proof	NOUN
ejpam-6967	180	2	.	.	PUNCT
ejpam-6967	181	1	to	to	PART
ejpam-6967	181	2	obtain	obtain	VERB
ejpam-6967	181	3	the	the	DET
ejpam-6967	181	4	disease	disease	NOUN
ejpam-6967	181	5	-	-	PUNCT
ejpam-6967	181	6	free	free	ADJ
ejpam-6967	181	7	equilibrium	equilibrium	NOUN
ejpam-6967	181	8	,	,	PUNCT
ejpam-6967	181	9	we	we	PRON
ejpam-6967	181	10	set	set	VERB
ejpam-6967	181	11	all	all	DET
ejpam-6967	181	12	derivatives	derivative	NOUN
ejpam-6967	181	13	in	in	ADP
ejpam-6967	181	14	the	the	DET
ejpam-6967	181	15	system	system	NOUN
ejpam-6967	181	16	to	to	ADP
ejpam-6967	181	17	zero	zero	NUM
ejpam-6967	181	18	and	and	CCONJ
ejpam-6967	181	19	assume	assume	VERB
ejpam-6967	181	20	that	that	SCONJ
ejpam-6967	181	21	no	no	DET
ejpam-6967	181	22	infection	infection	NOUN
ejpam-6967	181	23	is	be	AUX
ejpam-6967	181	24	present	present	ADJ
ejpam-6967	181	25	in	in	ADP
ejpam-6967	181	26	the	the	DET
ejpam-6967	181	27	network	network	NOUN
ejpam-6967	181	28	,	,	PUNCT
ejpam-6967	181	29	i.e.	i.e.	X
ejpam-6967	181	30	,	,	PUNCT
ejpam-6967	181	31	l	l	NOUN
ejpam-6967	181	32	=	=	PUNCT
ejpam-6967	181	33	a	a	PRON
ejpam-6967	181	34	=	=	X
ejpam-6967	181	35	q	q	NOUN
ejpam-6967	181	36	=	=	PUNCT
ejpam-6967	181	37	r	r	NOUN
ejpam-6967	181	38	=	=	SYM
ejpam-6967	181	39	d	d	NOUN
ejpam-6967	181	40	=	=	SYM
ejpam-6967	181	41	0	0	X
ejpam-6967	181	42	.	.	PUNCT
ejpam-6967	181	43	substituting	substitute	VERB
ejpam-6967	181	44	these	these	PRON
ejpam-6967	181	45	into	into	ADP
ejpam-6967	181	46	the	the	DET
ejpam-6967	181	47	first	first	ADJ
ejpam-6967	181	48	equation	equation	NOUN
ejpam-6967	181	49	:	:	PUNCT
ejpam-6967	181	50	ds	ds	ADJ
ejpam-6967	181	51	dt	dt	NOUN
ejpam-6967	181	52	=	=	SYM
ejpam-6967	181	53	λ−	λ−	PROPN
ejpam-6967	181	54	µs	µs	NOUN
ejpam-6967	181	55	=	=	SYM
ejpam-6967	181	56	0	0	PROPN
ejpam-6967	181	57	⇒	⇒	NOUN
ejpam-6967	181	58	s0	s0	NOUN
ejpam-6967	181	59	=	=	PUNCT
ejpam-6967	181	60	λ	λ	PROPN
ejpam-6967	181	61	µ	µ	X
ejpam-6967	181	62	.	.	PUNCT
ejpam-6967	182	1	all	all	DET
ejpam-6967	182	2	other	other	ADJ
ejpam-6967	182	3	compartments	compartment	NOUN
ejpam-6967	182	4	are	be	AUX
ejpam-6967	182	5	zero	zero	NUM
ejpam-6967	182	6	,	,	PUNCT
ejpam-6967	182	7	yielding	yield	VERB
ejpam-6967	182	8	the	the	DET
ejpam-6967	182	9	stated	state	VERB
ejpam-6967	182	10	result	result	NOUN
ejpam-6967	182	11	.	.	PUNCT
ejpam-6967	183	1	g.	g.	PROPN
ejpam-6967	183	2	ali	ali	PROPN
ejpam-6967	183	3	et	et	PROPN
ejpam-6967	183	4	al	al	PROPN
ejpam-6967	183	5	.	.	PUNCT
ejpam-6967	183	6	/	/	SYM
ejpam-6967	183	7	eur	eur	PROPN
ejpam-6967	183	8	.	.	PUNCT
ejpam-6967	184	1	j.	j.	PROPN
ejpam-6967	184	2	pure	pure	PROPN
ejpam-6967	184	3	appl	appl	PROPN
ejpam-6967	184	4	.	.	PROPN
ejpam-6967	184	5	math	math	PROPN
ejpam-6967	184	6	,	,	PUNCT
ejpam-6967	184	7	18	18	NUM
ejpam-6967	184	8	(	(	PUNCT
ejpam-6967	184	9	4	4	NUM
ejpam-6967	184	10	)	)	PUNCT
ejpam-6967	184	11	(	(	PUNCT
ejpam-6967	184	12	2025	2025	NUM
ejpam-6967	184	13	)	)	PUNCT
ejpam-6967	184	14	,	,	PUNCT
ejpam-6967	184	15	6967	6967	NUM
ejpam-6967	184	16	11	11	NUM
ejpam-6967	184	17	of	of	ADP
ejpam-6967	184	18	29	29	NUM
ejpam-6967	184	19	0	0	NUM
ejpam-6967	184	20	50	50	NUM
ejpam-6967	184	21	100	100	NUM
ejpam-6967	184	22	150	150	NUM
ejpam-6967	184	23	200	200	NUM
ejpam-6967	184	24	0	0	NUM
ejpam-6967	184	25	500	500	NUM
ejpam-6967	184	26	1000	1000	NUM
ejpam-6967	184	27	1500	1500	NUM
ejpam-6967	184	28	n	n	CCONJ
ejpam-6967	184	29	u	u	NOUN
ejpam-6967	184	30	m	m	NOUN
ejpam-6967	184	31	b	b	PROPN
ejpam-6967	184	32	e	e	NOUN
ejpam-6967	184	33	r	r	NOUN
ejpam-6967	184	34	o	o	X
ejpam-6967	184	35	f	f	X
ejpam-6967	184	36	s	s	PROPN
ejpam-6967	184	37	y	y	PROPN
ejpam-6967	184	38	s	s	X
ejpam-6967	184	39	te	te	ADP
ejpam-6967	184	40	m	m	PROPN
ejpam-6967	184	41	s	s	PROPN
ejpam-6967	184	42	slasqrd	slasqrd	PROPN
ejpam-6967	184	43	model	model	NOUN
ejpam-6967	184	44	dynamics	dynamic	NOUN
ejpam-6967	184	45	convergence	convergence	NOUN
ejpam-6967	184	46	to	to	ADP
ejpam-6967	184	47	dfe	dfe	PROPN
ejpam-6967	184	48	(	(	PUNCT
ejpam-6967	184	49	r	r	NOUN
ejpam-6967	184	50	0	0	NUM
ejpam-6967	184	51	=	=	SYM
ejpam-6967	184	52	0.06	0.06	NUM
ejpam-6967	184	53	)	)	PUNCT
ejpam-6967	184	54	susceptible	susceptible	ADJ
ejpam-6967	184	55	(	(	PUNCT
ejpam-6967	184	56	s	s	NOUN
ejpam-6967	184	57	)	)	PUNCT
ejpam-6967	184	58	total	total	ADJ
ejpam-6967	184	59	population	population	NOUN
ejpam-6967	184	60	(	(	PUNCT
ejpam-6967	184	61	n	n	CCONJ
ejpam-6967	184	62	)	)	PUNCT
ejpam-6967	184	63	dfe	dfe	PROPN
ejpam-6967	184	64	(	(	PUNCT
ejpam-6967	184	65	s	s	NOUN
ejpam-6967	184	66	0	0	NUM
ejpam-6967	184	67	=	=	SYM
ejpam-6967	184	68	25	25	NUM
ejpam-6967	184	69	)	)	PUNCT
ejpam-6967	184	70	0	0	NUM
ejpam-6967	185	1	50	50	NUM
ejpam-6967	185	2	100	100	NUM
ejpam-6967	185	3	150	150	NUM
ejpam-6967	185	4	200	200	NUM
ejpam-6967	185	5	time	time	NOUN
ejpam-6967	185	6	(	(	PUNCT
ejpam-6967	185	7	days	day	NOUN
ejpam-6967	185	8	)	)	PUNCT
ejpam-6967	185	9	0	0	NUM
ejpam-6967	185	10	10	10	NUM
ejpam-6967	185	11	20	20	NUM
ejpam-6967	185	12	30	30	NUM
ejpam-6967	185	13	40	40	NUM
ejpam-6967	185	14	50	50	NUM
ejpam-6967	185	15	n	n	NUM
ejpam-6967	185	16	u	u	NOUN
ejpam-6967	185	17	m	m	NOUN
ejpam-6967	185	18	b	b	NOUN
ejpam-6967	185	19	e	e	NOUN
ejpam-6967	185	20	r	r	NOUN
ejpam-6967	185	21	o	o	X
ejpam-6967	185	22	f	f	X
ejpam-6967	185	23	s	s	PROPN
ejpam-6967	185	24	y	y	PROPN
ejpam-6967	185	25	s	s	X
ejpam-6967	185	26	te	te	ADP
ejpam-6967	185	27	m	m	NOUN
ejpam-6967	185	28	s	s	NOUN
ejpam-6967	185	29	latent	latent	NOUN
ejpam-6967	185	30	(	(	PUNCT
ejpam-6967	185	31	l	l	NOUN
ejpam-6967	185	32	)	)	PUNCT
ejpam-6967	185	33	active	active	ADJ
ejpam-6967	185	34	(	(	PUNCT
ejpam-6967	185	35	a	a	NOUN
ejpam-6967	185	36	)	)	PUNCT
ejpam-6967	185	37	quarantined	quarantined	ADJ
ejpam-6967	185	38	(	(	PUNCT
ejpam-6967	185	39	q	q	NOUN
ejpam-6967	185	40	)	)	PUNCT
ejpam-6967	185	41	recovered	recover	VERB
ejpam-6967	185	42	(	(	PUNCT
ejpam-6967	185	43	r	r	NOUN
ejpam-6967	185	44	)	)	PUNCT
ejpam-6967	185	45	deactivated	deactivate	VERB
ejpam-6967	185	46	(	(	PUNCT
ejpam-6967	185	47	d	d	NOUN
ejpam-6967	185	48	)	)	PUNCT
ejpam-6967	185	49	figure	figure	NOUN
ejpam-6967	185	50	3	3	NUM
ejpam-6967	185	51	:	:	PUNCT
ejpam-6967	185	52	fig	fig	NOUN
ejpam-6967	185	53	.	.	PUNCT
ejpam-6967	186	1	(	(	PUNCT
ejpam-6967	186	2	3	3	X
ejpam-6967	186	3	)	)	PUNCT
ejpam-6967	186	4	depicts	depict	VERB
ejpam-6967	186	5	the	the	DET
ejpam-6967	186	6	system	system	NOUN
ejpam-6967	186	7	’s	’s	PART
ejpam-6967	186	8	dynamics	dynamic	NOUN
ejpam-6967	186	9	under	under	ADP
ejpam-6967	186	10	a	a	DET
ejpam-6967	186	11	parameter	parameter	NOUN
ejpam-6967	186	12	set	set	VERB
ejpam-6967	186	13	explicitly	explicitly	ADV
ejpam-6967	186	14	configured	configure	VERB
ejpam-6967	186	15	to	to	PART
ejpam-6967	186	16	ensure	ensure	VERB
ejpam-6967	186	17	r0	r0	NOUN
ejpam-6967	186	18	<	<	X
ejpam-6967	186	19	1	1	NUM
ejpam-6967	186	20	(	(	PUNCT
ejpam-6967	186	21	r0	r0	NOUN
ejpam-6967	186	22	=	=	NOUN
ejpam-6967	186	23	0.73	0.73	NUM
ejpam-6967	186	24	)	)	PUNCT
ejpam-6967	186	25	,	,	PUNCT
ejpam-6967	186	26	achieved	achieve	VERB
ejpam-6967	186	27	by	by	ADP
ejpam-6967	186	28	setting	set	VERB
ejpam-6967	186	29	low	low	ADJ
ejpam-6967	186	30	infection	infection	NOUN
ejpam-6967	186	31	rates	rate	NOUN
ejpam-6967	186	32	alongside	alongside	ADP
ejpam-6967	186	33	robust	robust	ADJ
ejpam-6967	186	34	defense	defense	NOUN
ejpam-6967	186	35	measures	measure	NOUN
ejpam-6967	186	36	(	(	PUNCT
ejpam-6967	186	37	quarantine	quarantine	NOUN
ejpam-6967	186	38	rate	rate	NOUN
ejpam-6967	186	39	θ	θ	PROPN
ejpam-6967	186	40	=	=	SYM
ejpam-6967	186	41	0.4	0.4	NUM
ejpam-6967	186	42	,	,	PUNCT
ejpam-6967	186	43	recovery	recovery	NOUN
ejpam-6967	186	44	rate	rate	NOUN
ejpam-6967	186	45	δ	δ	PROPN
ejpam-6967	186	46	=	=	PUNCT
ejpam-6967	186	47	0.3	0.3	NUM
ejpam-6967	186	48	)	)	PUNCT
ejpam-6967	186	49	.	.	PUNCT
ejpam-6967	187	1	the	the	DET
ejpam-6967	187	2	results	result	NOUN
ejpam-6967	187	3	confirm	confirm	VERB
ejpam-6967	187	4	the	the	DET
ejpam-6967	187	5	theoretical	theoretical	ADJ
ejpam-6967	187	6	prediction	prediction	NOUN
ejpam-6967	187	7	.	.	PUNCT
ejpam-6967	188	1	despite	despite	SCONJ
ejpam-6967	188	2	an	an	DET
ejpam-6967	188	3	initial	initial	ADJ
ejpam-6967	188	4	outbreak	outbreak	NOUN
ejpam-6967	188	5	condition	condition	NOUN
ejpam-6967	188	6	(	(	PUNCT
ejpam-6967	188	7	l(0	l(0	PROPN
ejpam-6967	188	8	)	)	PUNCT
ejpam-6967	188	9	=	=	SYM
ejpam-6967	188	10	a(0	a(0	PROPN
ejpam-6967	188	11	)	)	PUNCT
ejpam-6967	188	12	=	=	SYM
ejpam-6967	188	13	10	10	NUM
ejpam-6967	188	14	)	)	PUNCT
ejpam-6967	188	15	,	,	PUNCT
ejpam-6967	188	16	all	all	DET
ejpam-6967	188	17	infected	infect	VERB
ejpam-6967	188	18	compartments	compartment	NOUN
ejpam-6967	188	19	latent	latent	NOUN
ejpam-6967	188	20	(	(	PUNCT
ejpam-6967	188	21	l	l	NOUN
ejpam-6967	188	22	)	)	PUNCT
ejpam-6967	188	23	,	,	PUNCT
ejpam-6967	188	24	active	active	ADJ
ejpam-6967	188	25	(	(	PUNCT
ejpam-6967	188	26	a	a	NOUN
ejpam-6967	188	27	)	)	PUNCT
ejpam-6967	188	28	,	,	PUNCT
ejpam-6967	188	29	and	and	CCONJ
ejpam-6967	188	30	quarantined	quarantine	VERB
ejpam-6967	188	31	(	(	PUNCT
ejpam-6967	188	32	q	q	NOUN
ejpam-6967	188	33	)	)	PUNCT
ejpam-6967	188	34	decay	decay	VERB
ejpam-6967	188	35	exponentially	exponentially	ADV
ejpam-6967	188	36	to	to	ADP
ejpam-6967	188	37	zero	zero	NUM
ejpam-6967	188	38	.	.	PUNCT
ejpam-6967	189	1	concurrently	concurrently	ADV
ejpam-6967	189	2	,	,	PUNCT
ejpam-6967	189	3	the	the	DET
ejpam-6967	189	4	susceptible	susceptible	ADJ
ejpam-6967	189	5	population	population	NOUN
ejpam-6967	189	6	(	(	PUNCT
ejpam-6967	189	7	s	s	X
ejpam-6967	189	8	)	)	PUNCT
ejpam-6967	189	9	converges	converge	NOUN
ejpam-6967	189	10	to	to	ADP
ejpam-6967	189	11	its	its	PRON
ejpam-6967	189	12	theoretical	theoretical	ADJ
ejpam-6967	189	13	dfe	dfe	PROPN
ejpam-6967	189	14	value	value	NOUN
ejpam-6967	189	15	s0	s0	NOUN
ejpam-6967	189	16	=	=	PUNCT
ejpam-6967	190	1	λ/µ	λ/µ	X
ejpam-6967	190	2	=	=	NUM
ejpam-6967	190	3	200	200	NUM
ejpam-6967	190	4	.	.	PUNCT
ejpam-6967	191	1	this	this	DET
ejpam-6967	191	2	numerical	numerical	ADJ
ejpam-6967	191	3	experiment	experiment	NOUN
ejpam-6967	191	4	provides	provide	VERB
ejpam-6967	191	5	a	a	DET
ejpam-6967	191	6	clear	clear	ADJ
ejpam-6967	191	7	and	and	CCONJ
ejpam-6967	191	8	practical	practical	ADJ
ejpam-6967	191	9	demonstration	demonstration	NOUN
ejpam-6967	191	10	that	that	SCONJ
ejpam-6967	191	11	when	when	SCONJ
ejpam-6967	191	12	cybersecurity	cybersecurity	NOUN
ejpam-6967	191	13	policies	policy	NOUN
ejpam-6967	191	14	and	and	CCONJ
ejpam-6967	191	15	controls	control	NOUN
ejpam-6967	191	16	are	be	AUX
ejpam-6967	191	17	effective	effective	ADJ
ejpam-6967	191	18	enough	enough	ADV
ejpam-6967	191	19	to	to	PART
ejpam-6967	191	20	reduce	reduce	VERB
ejpam-6967	191	21	r0	r0	NOUN
ejpam-6967	191	22	below	below	ADP
ejpam-6967	191	23	the	the	DET
ejpam-6967	191	24	critical	critical	ADJ
ejpam-6967	191	25	threshold	threshold	NOUN
ejpam-6967	191	26	of	of	ADP
ejpam-6967	191	27	1	1	NUM
ejpam-6967	191	28	,	,	PUNCT
ejpam-6967	191	29	the	the	DET
ejpam-6967	191	30	network	network	NOUN
ejpam-6967	191	31	will	will	AUX
ejpam-6967	191	32	autonomously	autonomously	ADV
ejpam-6967	191	33	recover	recover	VERB
ejpam-6967	191	34	to	to	ADP
ejpam-6967	191	35	a	a	DET
ejpam-6967	191	36	virus	virus	NOUN
ejpam-6967	191	37	-	-	PUNCT
ejpam-6967	191	38	free	free	ADJ
ejpam-6967	191	39	state	state	NOUN
ejpam-6967	191	40	over	over	ADP
ejpam-6967	191	41	time	time	NOUN
ejpam-6967	191	42	,	,	PUNCT
ejpam-6967	191	43	regardless	regardless	ADV
ejpam-6967	191	44	of	of	ADP
ejpam-6967	191	45	the	the	DET
ejpam-6967	191	46	initial	initial	ADJ
ejpam-6967	191	47	number	number	NOUN
ejpam-6967	191	48	of	of	ADP
ejpam-6967	191	49	infections	infection	NOUN
ejpam-6967	191	50	.	.	PUNCT
ejpam-6967	192	1	this	this	DET
ejpam-6967	192	2	equilibrium	equilibrium	NOUN
ejpam-6967	192	3	represents	represent	VERB
ejpam-6967	192	4	a	a	DET
ejpam-6967	192	5	state	state	NOUN
ejpam-6967	192	6	where	where	SCONJ
ejpam-6967	192	7	the	the	DET
ejpam-6967	192	8	entire	entire	ADJ
ejpam-6967	192	9	computer	computer	NOUN
ejpam-6967	192	10	network	network	NOUN
ejpam-6967	192	11	consists	consist	VERB
ejpam-6967	192	12	of	of	ADP
ejpam-6967	192	13	healthy	healthy	ADJ
ejpam-6967	192	14	,	,	PUNCT
ejpam-6967	192	15	uninfected	uninfected	ADJ
ejpam-6967	192	16	systems	system	NOUN
ejpam-6967	192	17	,	,	PUNCT
ejpam-6967	192	18	and	and	CCONJ
ejpam-6967	192	19	no	no	DET
ejpam-6967	192	20	infections	infection	NOUN
ejpam-6967	192	21	are	be	AUX
ejpam-6967	192	22	present	present	ADJ
ejpam-6967	192	23	via	via	ADP
ejpam-6967	192	24	removable	removable	ADJ
ejpam-6967	192	25	media	medium	NOUN
ejpam-6967	192	26	or	or	CCONJ
ejpam-6967	192	27	direct	direct	ADJ
ejpam-6967	192	28	network	network	NOUN
ejpam-6967	192	29	interactions	interaction	NOUN
ejpam-6967	192	30	.	.	PUNCT
ejpam-6967	193	1	g.	g.	PROPN
ejpam-6967	193	2	ali	ali	PROPN
ejpam-6967	193	3	et	et	PROPN
ejpam-6967	193	4	al	al	PROPN
ejpam-6967	193	5	.	.	PUNCT
ejpam-6967	193	6	/	/	SYM
ejpam-6967	193	7	eur	eur	PROPN
ejpam-6967	193	8	.	.	PUNCT
ejpam-6967	194	1	j.	j.	PROPN
ejpam-6967	194	2	pure	pure	PROPN
ejpam-6967	194	3	appl	appl	PROPN
ejpam-6967	194	4	.	.	PROPN
ejpam-6967	194	5	math	math	PROPN
ejpam-6967	194	6	,	,	PUNCT
ejpam-6967	194	7	18	18	NUM
ejpam-6967	194	8	(	(	PUNCT
ejpam-6967	194	9	4	4	NUM
ejpam-6967	194	10	)	)	PUNCT
ejpam-6967	194	11	(	(	PUNCT
ejpam-6967	194	12	2025	2025	NUM
ejpam-6967	194	13	)	)	PUNCT
ejpam-6967	194	14	,	,	PUNCT
ejpam-6967	194	15	6967	6967	NUM
ejpam-6967	194	16	12	12	NUM
ejpam-6967	194	17	of	of	ADP
ejpam-6967	194	18	29	29	NUM
ejpam-6967	194	19	endemic	endemic	ADJ
ejpam-6967	194	20	equilibrium	equilibrium	NOUN
ejpam-6967	194	21	for	for	ADP
ejpam-6967	194	22	the	the	DET
ejpam-6967	194	23	proposed	propose	VERB
ejpam-6967	194	24	model	model	NOUN
ejpam-6967	194	25	we	we	PRON
ejpam-6967	194	26	now	now	ADV
ejpam-6967	194	27	derive	derive	VERB
ejpam-6967	194	28	the	the	DET
ejpam-6967	194	29	explicit	explicit	ADJ
ejpam-6967	194	30	expressions	expression	NOUN
ejpam-6967	194	31	for	for	ADP
ejpam-6967	194	32	the	the	DET
ejpam-6967	194	33	endemic	endemic	ADJ
ejpam-6967	194	34	equilibrium	equilibrium	NOUN
ejpam-6967	194	35	point	point	NOUN
ejpam-6967	194	36	of	of	ADP
ejpam-6967	194	37	the	the	DET
ejpam-6967	194	38	proposed	propose	VERB
ejpam-6967	194	39	model	model	NOUN
ejpam-6967	194	40	.	.	PUNCT
ejpam-6967	195	1	at	at	ADP
ejpam-6967	195	2	equilibrium	equilibrium	NOUN
ejpam-6967	195	3	,	,	PUNCT
ejpam-6967	195	4	each	each	DET
ejpam-6967	195	5	derivative	derivative	NOUN
ejpam-6967	195	6	is	be	AUX
ejpam-6967	195	7	set	set	VERB
ejpam-6967	195	8	to	to	ADP
ejpam-6967	195	9	zero	zero	NUM
ejpam-6967	195	10	,	,	PUNCT
ejpam-6967	195	11	and	and	CCONJ
ejpam-6967	195	12	all	all	DET
ejpam-6967	195	13	compartments	compartment	NOUN
ejpam-6967	195	14	are	be	AUX
ejpam-6967	195	15	assumed	assume	VERB
ejpam-6967	195	16	to	to	PART
ejpam-6967	195	17	be	be	AUX
ejpam-6967	195	18	strictly	strictly	ADV
ejpam-6967	195	19	positive	positive	ADJ
ejpam-6967	195	20	.	.	PUNCT
ejpam-6967	196	1	theorem	theorem	ADJ
ejpam-6967	196	2	6	6	NUM
ejpam-6967	196	3	.	.	PUNCT
ejpam-6967	197	1	the	the	DET
ejpam-6967	197	2	endemic	endemic	ADJ
ejpam-6967	197	3	equilibrium	equilibrium	NOUN
ejpam-6967	197	4	e∗	e∗	NOUN
ejpam-6967	197	5	=	=	SYM
ejpam-6967	197	6	(	(	PUNCT
ejpam-6967	197	7	s∗	s∗	PROPN
ejpam-6967	197	8	,	,	PUNCT
ejpam-6967	197	9	l∗	l∗	PROPN
ejpam-6967	197	10	,	,	PUNCT
ejpam-6967	197	11	a∗	a∗	NOUN
ejpam-6967	197	12	,	,	PUNCT
ejpam-6967	197	13	q∗	q∗	PROPN
ejpam-6967	197	14	,	,	PUNCT
ejpam-6967	197	15	r∗	r∗	PROPN
ejpam-6967	197	16	,	,	PUNCT
ejpam-6967	197	17	d∗	d∗	PROPN
ejpam-6967	197	18	)	)	PUNCT
ejpam-6967	197	19	of	of	ADP
ejpam-6967	197	20	the	the	DET
ejpam-6967	197	21	system	system	NOUN
ejpam-6967	197	22	(	(	PUNCT
ejpam-6967	197	23	1	1	NUM
ejpam-6967	197	24	)	)	PUNCT
ejpam-6967	197	25	,	,	PUNCT
ejpam-6967	197	26	is	be	AUX
ejpam-6967	197	27	given	give	VERB
ejpam-6967	197	28	by	by	ADP
ejpam-6967	197	29	the	the	DET
ejpam-6967	197	30	following	follow	VERB
ejpam-6967	197	31	closed	closed	ADJ
ejpam-6967	197	32	-	-	PUNCT
ejpam-6967	197	33	form	form	NOUN
ejpam-6967	197	34	expressions	expression	NOUN
ejpam-6967	197	35	:	:	PUNCT
ejpam-6967	197	36	a∗	a∗	NOUN
ejpam-6967	197	37	=	=	SYM
ejpam-6967	197	38	σ	σ	NUM
ejpam-6967	197	39	θ	θ	PROPN
ejpam-6967	197	40	+	+	CCONJ
ejpam-6967	197	41	δ	δ	PROPN
ejpam-6967	197	42	+	+	CCONJ
ejpam-6967	197	43	µ+	µ+	PROPN
ejpam-6967	197	44	η	η	PROPN
ejpam-6967	197	45	l∗	l∗	PROPN
ejpam-6967	197	46	,	,	PUNCT
ejpam-6967	197	47	s∗	s∗	PROPN
ejpam-6967	197	48	=	=	SYM
ejpam-6967	197	49	λ	λ	PROPN
ejpam-6967	197	50	µ+	µ+	NOUN
ejpam-6967	197	51	β1a∗	β1a∗	PROPN
ejpam-6967	197	52	+	+	CCONJ
ejpam-6967	197	53	β2l∗	β2l∗	PROPN
ejpam-6967	197	54	+	+	CCONJ
ejpam-6967	197	55	γ	γ	X
ejpam-6967	197	56	,	,	PUNCT
ejpam-6967	197	57	q∗	q∗	NOUN
ejpam-6967	197	58	=	=	PUNCT
ejpam-6967	197	59	θ	θ	X
ejpam-6967	198	1	ξ	ξ	X
ejpam-6967	198	2	+	+	NUM
ejpam-6967	198	3	µ	µ	X
ejpam-6967	198	4	a∗	a∗	NOUN
ejpam-6967	198	5	,	,	PUNCT
ejpam-6967	198	6	r∗	r∗	NOUN
ejpam-6967	198	7	=	=	SYM
ejpam-6967	198	8	1	1	NUM
ejpam-6967	198	9	µ	µ	X
ejpam-6967	198	10	(	(	PUNCT
ejpam-6967	198	11	δa∗	δa∗	NOUN
ejpam-6967	198	12	+	+	CCONJ
ejpam-6967	198	13	ξq∗	ξq∗	NOUN
ejpam-6967	198	14	)	)	PUNCT
ejpam-6967	198	15	,	,	PUNCT
ejpam-6967	198	16	d∗	d∗	NOUN
ejpam-6967	198	17	=	=	SYM
ejpam-6967	198	18	1	1	NUM
ejpam-6967	198	19	µ	µ	X
ejpam-6967	198	20	(	(	PUNCT
ejpam-6967	198	21	αl∗	αl∗	ADJ
ejpam-6967	198	22	+	+	X
ejpam-6967	198	23	ηa∗	ηa∗	PROPN
ejpam-6967	198	24	)	)	PUNCT
ejpam-6967	198	25	,	,	PUNCT
ejpam-6967	198	26	where	where	SCONJ
ejpam-6967	198	27	l∗	l∗	PROPN
ejpam-6967	198	28	satisfies	satisfy	VERB
ejpam-6967	198	29	the	the	DET
ejpam-6967	198	30	nonlinear	nonlinear	ADJ
ejpam-6967	198	31	equation	equation	NOUN
ejpam-6967	198	32	:	:	PUNCT
ejpam-6967	198	33	[	[	X
ejpam-6967	198	34	β1a	β1a	NOUN
ejpam-6967	198	35	∗	∗	X
ejpam-6967	198	36	+	+	NUM
ejpam-6967	198	37	β2l	β2l	NOUN
ejpam-6967	198	38	∗	∗	NOUN
ejpam-6967	198	39	+	+	X
ejpam-6967	198	40	γ]s∗	γ]s∗	PROPN
ejpam-6967	198	41	=	=	SYM
ejpam-6967	198	42	(	(	PUNCT
ejpam-6967	198	43	σ	σ	PROPN
ejpam-6967	198	44	+	+	X
ejpam-6967	198	45	µ+	µ+	VERB
ejpam-6967	198	46	α)l∗.	α)l∗.	NOUN
ejpam-6967	198	47	proof	proof	NOUN
ejpam-6967	198	48	.	.	PUNCT
ejpam-6967	199	1	we	we	PRON
ejpam-6967	199	2	begin	begin	VERB
ejpam-6967	199	3	by	by	ADP
ejpam-6967	199	4	setting	set	VERB
ejpam-6967	199	5	the	the	DET
ejpam-6967	199	6	right	right	ADJ
ejpam-6967	199	7	-	-	PUNCT
ejpam-6967	199	8	hand	hand	NOUN
ejpam-6967	199	9	side	side	NOUN
ejpam-6967	199	10	of	of	ADP
ejpam-6967	199	11	each	each	DET
ejpam-6967	199	12	equation	equation	NOUN
ejpam-6967	199	13	to	to	ADP
ejpam-6967	199	14	zero	zero	NUM
ejpam-6967	199	15	and	and	CCONJ
ejpam-6967	199	16	solving	solve	VERB
ejpam-6967	199	17	sequentially	sequentially	ADV
ejpam-6967	199	18	under	under	ADP
ejpam-6967	199	19	the	the	DET
ejpam-6967	199	20	assumption	assumption	NOUN
ejpam-6967	199	21	l∗	l∗	NOUN
ejpam-6967	199	22	,	,	PUNCT
ejpam-6967	199	23	a∗	a∗	PROPN
ejpam-6967	199	24	>	>	X
ejpam-6967	199	25	0	0	NUM
ejpam-6967	199	26	from	from	ADP
ejpam-6967	199	27	the	the	DET
ejpam-6967	199	28	third	third	ADJ
ejpam-6967	199	29	equation	equation	NOUN
ejpam-6967	199	30	:	:	PUNCT
ejpam-6967	199	31	σl∗	σl∗	NOUN
ejpam-6967	199	32	=	=	SYM
ejpam-6967	199	33	(	(	PUNCT
ejpam-6967	199	34	θ	θ	PROPN
ejpam-6967	199	35	+	+	CCONJ
ejpam-6967	199	36	δ	δ	PROPN
ejpam-6967	199	37	+	+	CCONJ
ejpam-6967	199	38	µ+	µ+	X
ejpam-6967	199	39	η)a∗	η)a∗	NUM
ejpam-6967	199	40	⇒	⇒	NOUN
ejpam-6967	199	41	a∗	a∗	NOUN
ejpam-6967	199	42	=	=	SYM
ejpam-6967	199	43	σ	σ	NUM
ejpam-6967	199	44	θ	θ	PROPN
ejpam-6967	199	45	+	+	CCONJ
ejpam-6967	199	46	δ	δ	PROPN
ejpam-6967	199	47	+	+	CCONJ
ejpam-6967	199	48	µ+	µ+	PROPN
ejpam-6967	199	49	η	η	X
ejpam-6967	199	50	l∗.	l∗.	PROPN
ejpam-6967	199	51	substituting	substitute	VERB
ejpam-6967	199	52	a∗	a∗	NOUN
ejpam-6967	199	53	into	into	ADP
ejpam-6967	199	54	the	the	DET
ejpam-6967	199	55	first	first	ADJ
ejpam-6967	199	56	equation	equation	NOUN
ejpam-6967	199	57	at	at	ADP
ejpam-6967	199	58	equilibrium	equilibrium	NOUN
ejpam-6967	199	59	:	:	PUNCT
ejpam-6967	199	60	λ	λ	X
ejpam-6967	199	61	=	=	SYM
ejpam-6967	199	62	(	(	PUNCT
ejpam-6967	199	63	β1a	β1a	NOUN
ejpam-6967	199	64	∗	∗	VERB
ejpam-6967	199	65	+	+	NUM
ejpam-6967	199	66	β2l	β2l	NOUN
ejpam-6967	199	67	∗	∗	NOUN
ejpam-6967	199	68	+	+	X
ejpam-6967	199	69	γ	γ	X
ejpam-6967	199	70	+	+	CCONJ
ejpam-6967	199	71	µ)s∗	µ)s∗	ADJ
ejpam-6967	199	72	⇒	⇒	NOUN
ejpam-6967	199	73	s∗	s∗	PROPN
ejpam-6967	199	74	=	=	SYM
ejpam-6967	199	75	λ	λ	PROPN
ejpam-6967	199	76	µ+	µ+	NOUN
ejpam-6967	199	77	β1a∗	β1a∗	PROPN
ejpam-6967	200	1	+	+	CCONJ
ejpam-6967	200	2	β2l∗	β2l∗	PROPN
ejpam-6967	200	3	+	+	CCONJ
ejpam-6967	200	4	γ	γ	X
ejpam-6967	200	5	.	.	PUNCT
ejpam-6967	201	1	for	for	ADP
ejpam-6967	201	2	the	the	DET
ejpam-6967	201	3	remaining	remain	VERB
ejpam-6967	201	4	compartments	compartment	NOUN
ejpam-6967	201	5	:	:	PUNCT
ejpam-6967	201	6	q∗	q∗	NOUN
ejpam-6967	201	7	=	=	PUNCT
ejpam-6967	201	8	θ	θ	X
ejpam-6967	201	9	ξ	ξ	X
ejpam-6967	201	10	+	+	NUM
ejpam-6967	201	11	µ	µ	X
ejpam-6967	201	12	a∗	a∗	NOUN
ejpam-6967	201	13	,	,	PUNCT
ejpam-6967	201	14	r∗	r∗	NOUN
ejpam-6967	201	15	=	=	PUNCT
ejpam-6967	201	16	δa∗	δa∗	NOUN
ejpam-6967	201	17	+	+	CCONJ
ejpam-6967	201	18	ξq∗	ξq∗	PROPN
ejpam-6967	201	19	µ	µ	X
ejpam-6967	201	20	,	,	PUNCT
ejpam-6967	201	21	d∗	d∗	PROPN
ejpam-6967	201	22	=	=	SYM
ejpam-6967	201	23	αl∗	αl∗	X
ejpam-6967	201	24	+	+	PROPN
ejpam-6967	201	25	ηa∗	ηa∗	PROPN
ejpam-6967	201	26	µ	µ	NOUN
ejpam-6967	201	27	.	.	PUNCT
ejpam-6967	202	1	now	now	ADV
ejpam-6967	202	2	substituting	substitute	VERB
ejpam-6967	202	3	s∗	s∗	PROPN
ejpam-6967	202	4	and	and	CCONJ
ejpam-6967	202	5	a∗	a∗	NOUN
ejpam-6967	202	6	back	back	ADV
ejpam-6967	202	7	into	into	ADP
ejpam-6967	202	8	the	the	DET
ejpam-6967	202	9	second	second	ADJ
ejpam-6967	202	10	equation	equation	NOUN
ejpam-6967	202	11	,	,	PUNCT
ejpam-6967	202	12	we	we	PRON
ejpam-6967	202	13	derive	derive	VERB
ejpam-6967	202	14	the	the	DET
ejpam-6967	202	15	following	follow	VERB
ejpam-6967	202	16	condition	condition	NOUN
ejpam-6967	202	17	on	on	ADP
ejpam-6967	202	18	l∗	l∗	PROPN
ejpam-6967	202	19	:	:	PUNCT
ejpam-6967	202	20	β1s	β1s	PUNCT
ejpam-6967	202	21	∗a∗	∗a∗	NUM
ejpam-6967	202	22	+	+	CCONJ
ejpam-6967	202	23	β2s	β2s	ADJ
ejpam-6967	202	24	∗l∗	∗l∗	X
ejpam-6967	202	25	+	+	X
ejpam-6967	202	26	γs∗	γs∗	ADV
ejpam-6967	202	27	=	=	PUNCT
ejpam-6967	202	28	(	(	PUNCT
ejpam-6967	202	29	σ	σ	PROPN
ejpam-6967	202	30	+	+	X
ejpam-6967	202	31	µ+	µ+	X
ejpam-6967	202	32	α)l∗.	α)l∗.	NOUN
ejpam-6967	202	33	this	this	DET
ejpam-6967	202	34	nonlinear	nonlinear	ADJ
ejpam-6967	202	35	equation	equation	NOUN
ejpam-6967	202	36	in	in	ADP
ejpam-6967	202	37	l∗	l∗	PROPN
ejpam-6967	202	38	can	can	AUX
ejpam-6967	202	39	be	be	AUX
ejpam-6967	202	40	solved	solve	VERB
ejpam-6967	202	41	numerically	numerically	ADV
ejpam-6967	202	42	for	for	ADP
ejpam-6967	202	43	given	give	VERB
ejpam-6967	202	44	parameter	parameter	NOUN
ejpam-6967	202	45	values	value	NOUN
ejpam-6967	202	46	.	.	PUNCT
ejpam-6967	203	1	once	once	ADV
ejpam-6967	203	2	l∗	l∗	PROPN
ejpam-6967	203	3	is	be	AUX
ejpam-6967	203	4	known	know	VERB
ejpam-6967	203	5	,	,	PUNCT
ejpam-6967	203	6	the	the	DET
ejpam-6967	203	7	remaining	remain	VERB
ejpam-6967	203	8	variables	variable	NOUN
ejpam-6967	203	9	are	be	AUX
ejpam-6967	203	10	explicitly	explicitly	ADV
ejpam-6967	203	11	determined	determine	VERB
ejpam-6967	203	12	as	as	SCONJ
ejpam-6967	203	13	shown	show	VERB
ejpam-6967	203	14	above	above	ADV
ejpam-6967	203	15	.	.	PUNCT
ejpam-6967	204	1	this	this	DET
ejpam-6967	204	2	result	result	NOUN
ejpam-6967	204	3	characterizes	characterize	VERB
ejpam-6967	204	4	the	the	DET
ejpam-6967	204	5	long	long	ADJ
ejpam-6967	204	6	-	-	PUNCT
ejpam-6967	204	7	term	term	NOUN
ejpam-6967	204	8	behavior	behavior	NOUN
ejpam-6967	204	9	of	of	ADP
ejpam-6967	204	10	the	the	DET
ejpam-6967	204	11	system	system	NOUN
ejpam-6967	204	12	in	in	ADP
ejpam-6967	204	13	the	the	DET
ejpam-6967	204	14	presence	presence	NOUN
ejpam-6967	204	15	of	of	ADP
ejpam-6967	204	16	persistent	persistent	ADJ
ejpam-6967	204	17	infection	infection	NOUN
ejpam-6967	204	18	within	within	ADP
ejpam-6967	204	19	the	the	DET
ejpam-6967	204	20	network	network	NOUN
ejpam-6967	204	21	,	,	PUNCT
ejpam-6967	204	22	maintained	maintain	VERB
ejpam-6967	204	23	by	by	ADP
ejpam-6967	204	24	both	both	CCONJ
ejpam-6967	204	25	direct	direct	ADJ
ejpam-6967	204	26	interactions	interaction	NOUN
ejpam-6967	204	27	and	and	CCONJ
ejpam-6967	204	28	exposure	exposure	NOUN
ejpam-6967	204	29	via	via	ADP
ejpam-6967	204	30	removable	removable	ADJ
ejpam-6967	204	31	devices	device	NOUN
ejpam-6967	204	32	.	.	PUNCT
ejpam-6967	205	1	g.	g.	PROPN
ejpam-6967	205	2	ali	ali	PROPN
ejpam-6967	205	3	et	et	PROPN
ejpam-6967	205	4	al	al	PROPN
ejpam-6967	205	5	.	.	PUNCT
ejpam-6967	205	6	/	/	SYM
ejpam-6967	205	7	eur	eur	PROPN
ejpam-6967	205	8	.	.	PUNCT
ejpam-6967	206	1	j.	j.	PROPN
ejpam-6967	206	2	pure	pure	PROPN
ejpam-6967	206	3	appl	appl	PROPN
ejpam-6967	206	4	.	.	PROPN
ejpam-6967	206	5	math	math	PROPN
ejpam-6967	206	6	,	,	PUNCT
ejpam-6967	206	7	18	18	NUM
ejpam-6967	206	8	(	(	PUNCT
ejpam-6967	206	9	4	4	NUM
ejpam-6967	206	10	)	)	PUNCT
ejpam-6967	206	11	(	(	PUNCT
ejpam-6967	206	12	2025	2025	NUM
ejpam-6967	206	13	)	)	PUNCT
ejpam-6967	206	14	,	,	PUNCT
ejpam-6967	206	15	6967	6967	NUM
ejpam-6967	206	16	13	13	NUM
ejpam-6967	206	17	of	of	ADP
ejpam-6967	206	18	29	29	NUM
ejpam-6967	206	19	basic	basic	ADJ
ejpam-6967	206	20	reproduction	reproduction	NOUN
ejpam-6967	206	21	number	number	NOUN
ejpam-6967	206	22	in	in	ADP
ejpam-6967	206	23	mathematical	mathematical	ADJ
ejpam-6967	206	24	epidemiology	epidemiology	NOUN
ejpam-6967	206	25	,	,	PUNCT
ejpam-6967	206	26	the	the	DET
ejpam-6967	206	27	basic	basic	ADJ
ejpam-6967	206	28	reproduction	reproduction	NOUN
ejpam-6967	206	29	number	number	NOUN
ejpam-6967	206	30	r0	r0	NOUN
ejpam-6967	206	31	represents	represent	VERB
ejpam-6967	206	32	the	the	DET
ejpam-6967	206	33	average	average	ADJ
ejpam-6967	206	34	number	number	NOUN
ejpam-6967	206	35	of	of	ADP
ejpam-6967	206	36	new	new	ADJ
ejpam-6967	206	37	infections	infection	NOUN
ejpam-6967	206	38	generated	generate	VERB
ejpam-6967	206	39	by	by	ADP
ejpam-6967	206	40	a	a	DET
ejpam-6967	206	41	single	single	ADJ
ejpam-6967	206	42	infected	infected	ADJ
ejpam-6967	206	43	computer	computer	NOUN
ejpam-6967	206	44	in	in	ADP
ejpam-6967	206	45	a	a	DET
ejpam-6967	206	46	fully	fully	ADV
ejpam-6967	206	47	susceptible	susceptible	ADJ
ejpam-6967	206	48	environment	environment	NOUN
ejpam-6967	206	49	.	.	PUNCT
ejpam-6967	207	1	for	for	ADP
ejpam-6967	207	2	the	the	DET
ejpam-6967	207	3	current	current	ADJ
ejpam-6967	207	4	model	model	NOUN
ejpam-6967	207	5	,	,	PUNCT
ejpam-6967	207	6	which	which	PRON
ejpam-6967	207	7	accounts	account	VERB
ejpam-6967	207	8	for	for	ADP
ejpam-6967	207	9	both	both	CCONJ
ejpam-6967	207	10	removable	removable	ADJ
ejpam-6967	207	11	media	medium	NOUN
ejpam-6967	207	12	and	and	CCONJ
ejpam-6967	207	13	direct	direct	ADJ
ejpam-6967	207	14	transmission	transmission	NOUN
ejpam-6967	207	15	,	,	PUNCT
ejpam-6967	207	16	we	we	PRON
ejpam-6967	207	17	derive	derive	VERB
ejpam-6967	207	18	r0	r0	NOUN
ejpam-6967	207	19	using	use	VERB
ejpam-6967	207	20	the	the	DET
ejpam-6967	207	21	next	next	ADJ
ejpam-6967	207	22	-	-	PUNCT
ejpam-6967	207	23	generation	generation	NOUN
ejpam-6967	207	24	matrix	matrix	NOUN
ejpam-6967	207	25	method	method	NOUN
ejpam-6967	207	26	.	.	PUNCT
ejpam-6967	208	1	theorem	theorem	VERB
ejpam-6967	208	2	7	7	NUM
ejpam-6967	208	3	.	.	PUNCT
ejpam-6967	209	1	the	the	DET
ejpam-6967	209	2	basic	basic	ADJ
ejpam-6967	209	3	reproduction	reproduction	NOUN
ejpam-6967	209	4	number	number	NOUN
ejpam-6967	209	5	r0	r0	NOUN
ejpam-6967	209	6	for	for	ADP
ejpam-6967	209	7	the	the	DET
ejpam-6967	209	8	system	system	NOUN
ejpam-6967	209	9	is	be	AUX
ejpam-6967	209	10	given	give	VERB
ejpam-6967	209	11	by	by	ADP
ejpam-6967	209	12	:	:	PUNCT
ejpam-6967	209	13	r0	r0	NOUN
ejpam-6967	209	14	=	=	PROPN
ejpam-6967	209	15	γ	γ	X
ejpam-6967	209	16	σ	σ	PROPN
ejpam-6967	209	17	+	+	PROPN
ejpam-6967	209	18	µ+	µ+	PROPN
ejpam-6967	209	19	α	α	NOUN
ejpam-6967	209	20	+	+	X
ejpam-6967	209	21	β2λ	β2λ	X
ejpam-6967	209	22	µ(σ	µ(σ	PROPN
ejpam-6967	209	23	+	+	CCONJ
ejpam-6967	209	24	µ+	µ+	X
ejpam-6967	209	25	α	α	NOUN
ejpam-6967	209	26	)	)	PUNCT
ejpam-6967	209	27	+	+	CCONJ
ejpam-6967	209	28	β1λσ	β1λσ	PUNCT
ejpam-6967	209	29	µ(θ	µ(θ	PROPN
ejpam-6967	209	30	+	+	NUM
ejpam-6967	209	31	δ	δ	PROPN
ejpam-6967	209	32	+	+	NUM
ejpam-6967	209	33	µ+	µ+	PRON
ejpam-6967	209	34	η)(σ	η)(σ	NOUN
ejpam-6967	209	35	+	+	CCONJ
ejpam-6967	209	36	µ+	µ+	X
ejpam-6967	209	37	α	α	NOUN
ejpam-6967	209	38	)	)	PUNCT
ejpam-6967	209	39	.	.	PUNCT
ejpam-6967	210	1	proof	proof	NOUN
ejpam-6967	210	2	.	.	PUNCT
ejpam-6967	211	1	to	to	PART
ejpam-6967	211	2	apply	apply	VERB
ejpam-6967	211	3	the	the	DET
ejpam-6967	211	4	next	next	ADJ
ejpam-6967	211	5	-	-	PUNCT
ejpam-6967	211	6	generation	generation	NOUN
ejpam-6967	211	7	matrix	matrix	NOUN
ejpam-6967	211	8	method	method	NOUN
ejpam-6967	211	9	,	,	PUNCT
ejpam-6967	211	10	we	we	PRON
ejpam-6967	211	11	identify	identify	VERB
ejpam-6967	211	12	the	the	DET
ejpam-6967	211	13	infected	infect	VERB
ejpam-6967	211	14	compartments	compartment	NOUN
ejpam-6967	211	15	as	as	ADP
ejpam-6967	211	16	l(t	l(t	NOUN
ejpam-6967	211	17	)	)	PUNCT
ejpam-6967	211	18	and	and	CCONJ
ejpam-6967	211	19	a(t	a(t	NOUN
ejpam-6967	211	20	)	)	PUNCT
ejpam-6967	211	21	.	.	PUNCT
ejpam-6967	212	1	at	at	ADP
ejpam-6967	212	2	the	the	DET
ejpam-6967	212	3	disease	disease	NOUN
ejpam-6967	212	4	-	-	PUNCT
ejpam-6967	212	5	free	free	ADJ
ejpam-6967	212	6	equilibrium	equilibrium	NOUN
ejpam-6967	212	7	e0	e0	PROPN
ejpam-6967	212	8	=	=	PUNCT
ejpam-6967	212	9	(	(	PUNCT
ejpam-6967	212	10	λ	λ	X
ejpam-6967	212	11	µ	µ	X
ejpam-6967	212	12	,	,	PUNCT
ejpam-6967	212	13	0	0	NUM
ejpam-6967	212	14	,	,	PUNCT
ejpam-6967	212	15	0	0	NUM
ejpam-6967	212	16	,	,	PUNCT
ejpam-6967	212	17	0	0	NUM
ejpam-6967	212	18	,	,	PUNCT
ejpam-6967	212	19	0	0	NUM
ejpam-6967	212	20	,	,	PUNCT
ejpam-6967	212	21	0	0	NUM
ejpam-6967	212	22	)	)	PUNCT
ejpam-6967	212	23	,	,	PUNCT
ejpam-6967	212	24	the	the	DET
ejpam-6967	212	25	new	new	ADJ
ejpam-6967	212	26	infection	infection	NOUN
ejpam-6967	212	27	terms	term	NOUN
ejpam-6967	212	28	and	and	CCONJ
ejpam-6967	212	29	transition	transition	NOUN
ejpam-6967	212	30	terms	term	NOUN
ejpam-6967	212	31	for	for	ADP
ejpam-6967	212	32	the	the	DET
ejpam-6967	212	33	infected	infect	VERB
ejpam-6967	212	34	classes	class	NOUN
ejpam-6967	212	35	are	be	AUX
ejpam-6967	212	36	:	:	PUNCT
ejpam-6967	212	37	f	f	X
ejpam-6967	212	38	=	=	PUNCT
ejpam-6967	213	1	[	[	PUNCT
ejpam-6967	213	2	β1sa+	β1sa+	NOUN
ejpam-6967	213	3	β2sl+	β2sl+	PRON
ejpam-6967	213	4	γs	γs	X
ejpam-6967	213	5	0	0	NUM
ejpam-6967	213	6	]	]	PUNCT
ejpam-6967	213	7	,	,	PUNCT
ejpam-6967	213	8	v	v	X
ejpam-6967	213	9	=	=	X
ejpam-6967	213	10	[	[	PUNCT
ejpam-6967	213	11	(	(	PUNCT
ejpam-6967	213	12	σ	σ	X
ejpam-6967	213	13	+	+	CCONJ
ejpam-6967	213	14	µ+	µ+	X
ejpam-6967	213	15	α)l	α)l	ADJ
ejpam-6967	213	16	−σl+	−σl+	PROPN
ejpam-6967	213	17	(	(	PUNCT
ejpam-6967	213	18	θ	θ	PROPN
ejpam-6967	213	19	+	+	CCONJ
ejpam-6967	213	20	δ	δ	PROPN
ejpam-6967	213	21	+	+	CCONJ
ejpam-6967	213	22	µ+	µ+	PRON
ejpam-6967	213	23	η)a	η)a	NOUN
ejpam-6967	213	24	]	]	PUNCT
ejpam-6967	213	25	.	.	PUNCT
ejpam-6967	214	1	the	the	DET
ejpam-6967	214	2	jacobians	jacobian	NOUN
ejpam-6967	214	3	of	of	ADP
ejpam-6967	214	4	f	f	PROPN
ejpam-6967	214	5	and	and	CCONJ
ejpam-6967	214	6	v	v	NOUN
ejpam-6967	214	7	at	at	ADP
ejpam-6967	214	8	the	the	DET
ejpam-6967	214	9	disease	disease	NOUN
ejpam-6967	214	10	-	-	PUNCT
ejpam-6967	214	11	free	free	ADJ
ejpam-6967	214	12	equilibrium	equilibrium	NOUN
ejpam-6967	214	13	are	be	AUX
ejpam-6967	214	14	f	f	NOUN
ejpam-6967	214	15	=	=	X
ejpam-6967	214	16	[	[	PUNCT
ejpam-6967	214	17	β2s0	β2s0	X
ejpam-6967	214	18	β1s0	β1s0	X
ejpam-6967	214	19	0	0	NUM
ejpam-6967	214	20	0	0	NUM
ejpam-6967	214	21	]	]	PUNCT
ejpam-6967	214	22	,	,	PUNCT
ejpam-6967	214	23	v	v	X
ejpam-6967	214	24	=	=	PUNCT
ejpam-6967	214	25	[	[	PUNCT
ejpam-6967	214	26	σ	σ	PROPN
ejpam-6967	214	27	+	+	X
ejpam-6967	214	28	µ+	µ+	PROPN
ejpam-6967	214	29	α	α	NOUN
ejpam-6967	214	30	0	0	NUM
ejpam-6967	214	31	−σ	−σ	NOUN
ejpam-6967	214	32	θ	θ	PROPN
ejpam-6967	214	33	+	+	CCONJ
ejpam-6967	214	34	δ	δ	PROPN
ejpam-6967	214	35	+	+	CCONJ
ejpam-6967	214	36	µ+	µ+	PROPN
ejpam-6967	214	37	η	η	PROPN
ejpam-6967	214	38	]	]	PUNCT
ejpam-6967	214	39	,	,	PUNCT
ejpam-6967	214	40	where	where	SCONJ
ejpam-6967	214	41	s0	s0	PROPN
ejpam-6967	214	42	=	=	SYM
ejpam-6967	214	43	λ	λ	PROPN
ejpam-6967	214	44	µ	µ	X
ejpam-6967	214	45	.	.	PUNCT
ejpam-6967	215	1	now	now	ADV
ejpam-6967	215	2	we	we	PRON
ejpam-6967	215	3	compute	compute	VERB
ejpam-6967	215	4	fv	fv	PROPN
ejpam-6967	215	5	−1	−1	NOUN
ejpam-6967	215	6	.	.	PUNCT
ejpam-6967	216	1	the	the	DET
ejpam-6967	216	2	spectral	spectral	ADJ
ejpam-6967	216	3	radius	radius	NOUN
ejpam-6967	216	4	of	of	ADP
ejpam-6967	216	5	the	the	DET
ejpam-6967	216	6	matrix	matrix	NOUN
ejpam-6967	216	7	fv	fv	NOUN
ejpam-6967	216	8	−1	−1	NOUN
ejpam-6967	216	9	gives	give	VERB
ejpam-6967	216	10	the	the	DET
ejpam-6967	216	11	basic	basic	ADJ
ejpam-6967	216	12	reproduction	reproduction	NOUN
ejpam-6967	216	13	number	number	NOUN
ejpam-6967	216	14	:	:	PUNCT
ejpam-6967	216	15	r0	r0	NOUN
ejpam-6967	216	16	=	=	SYM
ejpam-6967	216	17	ρ(fv	ρ(fv	NOUN
ejpam-6967	216	18	−1	−1	NOUN
ejpam-6967	216	19	)	)	PUNCT
ejpam-6967	216	20	=	=	PUNCT
ejpam-6967	217	1	β2s0	β2s0	PUNCT
ejpam-6967	217	2	σ	σ	NOUN
ejpam-6967	217	3	+	+	CCONJ
ejpam-6967	217	4	µ+	µ+	X
ejpam-6967	217	5	α	α	NOUN
ejpam-6967	217	6	+	+	X
ejpam-6967	217	7	β1s0σ	β1s0σ	PUNCT
ejpam-6967	217	8	(	(	PUNCT
ejpam-6967	217	9	σ	σ	PROPN
ejpam-6967	217	10	+	+	X
ejpam-6967	217	11	µ+	µ+	PRON
ejpam-6967	217	12	α)(θ	α)(θ	PROPN
ejpam-6967	217	13	+	+	NUM
ejpam-6967	217	14	δ	δ	PROPN
ejpam-6967	217	15	+	+	CCONJ
ejpam-6967	217	16	µ+	µ+	PROPN
ejpam-6967	217	17	η	η	PROPN
ejpam-6967	217	18	)	)	PUNCT
ejpam-6967	217	19	+	+	CCONJ
ejpam-6967	217	20	γ	γ	PROPN
ejpam-6967	217	21	σ	σ	PROPN
ejpam-6967	217	22	+	+	PROPN
ejpam-6967	217	23	µ+	µ+	PROPN
ejpam-6967	217	24	α	α	NOUN
ejpam-6967	217	25	.	.	PUNCT
ejpam-6967	218	1	substituting	substitute	VERB
ejpam-6967	218	2	s0	s0	PROPN
ejpam-6967	218	3	=	=	PUNCT
ejpam-6967	218	4	λ	λ	PROPN
ejpam-6967	218	5	µ	µ	PROPN
ejpam-6967	218	6	gives	give	VERB
ejpam-6967	218	7	the	the	DET
ejpam-6967	218	8	final	final	ADJ
ejpam-6967	218	9	expression	expression	NOUN
ejpam-6967	218	10	:	:	PUNCT
ejpam-6967	219	1	r0	r0	NOUN
ejpam-6967	219	2	=	=	PUNCT
ejpam-6967	219	3	γ	γ	X
ejpam-6967	219	4	σ	σ	PROPN
ejpam-6967	219	5	+	+	PROPN
ejpam-6967	219	6	µ+	µ+	PROPN
ejpam-6967	219	7	α	α	NOUN
ejpam-6967	219	8	+	+	X
ejpam-6967	219	9	β2λ	β2λ	X
ejpam-6967	219	10	µ(σ	µ(σ	PROPN
ejpam-6967	219	11	+	+	CCONJ
ejpam-6967	219	12	µ+	µ+	X
ejpam-6967	219	13	α	α	NOUN
ejpam-6967	219	14	)	)	PUNCT
ejpam-6967	219	15	+	+	CCONJ
ejpam-6967	219	16	β1λσ	β1λσ	PUNCT
ejpam-6967	219	17	µ(θ	µ(θ	PROPN
ejpam-6967	219	18	+	+	NUM
ejpam-6967	219	19	δ	δ	PROPN
ejpam-6967	219	20	+	+	NUM
ejpam-6967	219	21	µ+	µ+	PRON
ejpam-6967	219	22	η)(σ	η)(σ	NOUN
ejpam-6967	219	23	+	+	CCONJ
ejpam-6967	219	24	µ+	µ+	X
ejpam-6967	219	25	α	α	NOUN
ejpam-6967	219	26	)	)	PUNCT
ejpam-6967	219	27	.	.	PUNCT
ejpam-6967	220	1	the	the	DET
ejpam-6967	220	2	basic	basic	ADJ
ejpam-6967	220	3	reproduction	reproduction	NOUN
ejpam-6967	220	4	number	number	NOUN
ejpam-6967	220	5	r0	r0	NOUN
ejpam-6967	220	6	captures	capture	VERB
ejpam-6967	220	7	the	the	DET
ejpam-6967	220	8	combined	combine	VERB
ejpam-6967	220	9	impact	impact	NOUN
ejpam-6967	220	10	of	of	ADP
ejpam-6967	220	11	direct	direct	ADJ
ejpam-6967	220	12	infections	infection	NOUN
ejpam-6967	220	13	via	via	ADP
ejpam-6967	220	14	latent	latent	NOUN
ejpam-6967	220	15	and	and	CCONJ
ejpam-6967	220	16	active	active	ADJ
ejpam-6967	220	17	computers	computer	NOUN
ejpam-6967	220	18	,	,	PUNCT
ejpam-6967	220	19	as	as	ADV
ejpam-6967	220	20	well	well	ADV
ejpam-6967	220	21	as	as	ADP
ejpam-6967	220	22	infections	infection	NOUN
ejpam-6967	220	23	caused	cause	VERB
ejpam-6967	220	24	through	through	ADP
ejpam-6967	220	25	removable	removable	ADJ
ejpam-6967	220	26	media	medium	NOUN
ejpam-6967	220	27	.	.	PUNCT
ejpam-6967	221	1	if	if	SCONJ
ejpam-6967	221	2	r0	r0	NOUN
ejpam-6967	221	3	<	<	X
ejpam-6967	221	4	1	1	NUM
ejpam-6967	221	5	,	,	PUNCT
ejpam-6967	221	6	the	the	DET
ejpam-6967	221	7	infection	infection	NOUN
ejpam-6967	221	8	is	be	AUX
ejpam-6967	221	9	expected	expect	VERB
ejpam-6967	221	10	to	to	PART
ejpam-6967	221	11	die	die	VERB
ejpam-6967	221	12	out	out	ADP
ejpam-6967	221	13	in	in	ADP
ejpam-6967	221	14	the	the	DET
ejpam-6967	221	15	long	long	ADJ
ejpam-6967	221	16	run	run	NOUN
ejpam-6967	221	17	.	.	PUNCT
ejpam-6967	222	1	however	however	ADV
ejpam-6967	222	2	,	,	PUNCT
ejpam-6967	222	3	if	if	SCONJ
ejpam-6967	222	4	r0	r0	NOUN
ejpam-6967	222	5	>	>	X
ejpam-6967	222	6	1	1	NUM
ejpam-6967	222	7	,	,	PUNCT
ejpam-6967	222	8	the	the	DET
ejpam-6967	222	9	infection	infection	NOUN
ejpam-6967	222	10	may	may	AUX
ejpam-6967	222	11	persist	persist	VERB
ejpam-6967	222	12	and	and	CCONJ
ejpam-6967	222	13	spread	spread	VERB
ejpam-6967	222	14	across	across	ADP
ejpam-6967	222	15	the	the	DET
ejpam-6967	222	16	network	network	NOUN
ejpam-6967	222	17	.	.	PUNCT
ejpam-6967	223	1	global	global	ADJ
ejpam-6967	223	2	asymptotic	asymptotic	ADJ
ejpam-6967	223	3	stability	stability	NOUN
ejpam-6967	223	4	of	of	ADP
ejpam-6967	223	5	the	the	DET
ejpam-6967	223	6	disease	disease	NOUN
ejpam-6967	223	7	-	-	PUNCT
ejpam-6967	223	8	free	free	ADJ
ejpam-6967	223	9	equilibrium	equilibrium	NOUN
ejpam-6967	223	10	we	we	PRON
ejpam-6967	223	11	now	now	ADV
ejpam-6967	223	12	provide	provide	VERB
ejpam-6967	223	13	a	a	DET
ejpam-6967	223	14	rigorous	rigorous	ADJ
ejpam-6967	223	15	proof	proof	NOUN
ejpam-6967	223	16	of	of	ADP
ejpam-6967	223	17	the	the	DET
ejpam-6967	223	18	global	global	ADJ
ejpam-6967	223	19	stability	stability	NOUN
ejpam-6967	223	20	of	of	ADP
ejpam-6967	223	21	the	the	DET
ejpam-6967	223	22	disease	disease	NOUN
ejpam-6967	223	23	-	-	PUNCT
ejpam-6967	223	24	free	free	ADJ
ejpam-6967	223	25	equilibrium	equilibrium	NOUN
ejpam-6967	223	26	using	use	VERB
ejpam-6967	223	27	the	the	DET
ejpam-6967	223	28	lyapunov	lyapunov	ADJ
ejpam-6967	223	29	method	method	NOUN
ejpam-6967	223	30	.	.	PUNCT
ejpam-6967	224	1	g.	g.	PROPN
ejpam-6967	224	2	ali	ali	PROPN
ejpam-6967	224	3	et	et	PROPN
ejpam-6967	224	4	al	al	PROPN
ejpam-6967	224	5	.	.	PUNCT
ejpam-6967	224	6	/	/	SYM
ejpam-6967	224	7	eur	eur	PROPN
ejpam-6967	224	8	.	.	PUNCT
ejpam-6967	225	1	j.	j.	PROPN
ejpam-6967	225	2	pure	pure	PROPN
ejpam-6967	225	3	appl	appl	PROPN
ejpam-6967	225	4	.	.	PROPN
ejpam-6967	225	5	math	math	PROPN
ejpam-6967	225	6	,	,	PUNCT
ejpam-6967	225	7	18	18	NUM
ejpam-6967	225	8	(	(	PUNCT
ejpam-6967	225	9	4	4	NUM
ejpam-6967	225	10	)	)	PUNCT
ejpam-6967	225	11	(	(	PUNCT
ejpam-6967	225	12	2025	2025	NUM
ejpam-6967	225	13	)	)	PUNCT
ejpam-6967	225	14	,	,	PUNCT
ejpam-6967	225	15	6967	6967	NUM
ejpam-6967	225	16	14	14	NUM
ejpam-6967	225	17	of	of	ADP
ejpam-6967	225	18	29	29	NUM
ejpam-6967	225	19	theorem	theorem	NOUN
ejpam-6967	225	20	8	8	NUM
ejpam-6967	225	21	.	.	PUNCT
ejpam-6967	226	1	let	let	VERB
ejpam-6967	226	2	the	the	DET
ejpam-6967	226	3	initial	initial	ADJ
ejpam-6967	226	4	condition	condition	NOUN
ejpam-6967	226	5	lie	lie	VERB
ejpam-6967	226	6	in	in	ADP
ejpam-6967	226	7	the	the	DET
ejpam-6967	226	8	feasible	feasible	ADJ
ejpam-6967	226	9	region	region	NOUN
ejpam-6967	226	10	ω	ω	PROPN
ejpam-6967	226	11	.	.	PUNCT
ejpam-6967	227	1	then	then	ADV
ejpam-6967	227	2	,	,	PUNCT
ejpam-6967	227	3	the	the	DET
ejpam-6967	227	4	diseasefree	diseasefree	PROPN
ejpam-6967	227	5	equilibrium	equilibrium	NOUN
ejpam-6967	227	6	e0	e0	PROPN
ejpam-6967	227	7	=	=	PUNCT
ejpam-6967	227	8	(	(	PUNCT
ejpam-6967	227	9	λ	λ	X
ejpam-6967	227	10	µ	µ	X
ejpam-6967	227	11	,	,	PUNCT
ejpam-6967	227	12	0	0	NUM
ejpam-6967	227	13	,	,	PUNCT
ejpam-6967	227	14	0	0	NUM
ejpam-6967	227	15	,	,	PUNCT
ejpam-6967	227	16	0	0	NUM
ejpam-6967	227	17	,	,	PUNCT
ejpam-6967	227	18	0	0	NUM
ejpam-6967	227	19	,	,	PUNCT
ejpam-6967	227	20	0	0	NUM
ejpam-6967	227	21	)	)	PUNCT
ejpam-6967	227	22	of	of	ADP
ejpam-6967	227	23	the	the	DET
ejpam-6967	227	24	model	model	NOUN
ejpam-6967	227	25	is	be	AUX
ejpam-6967	227	26	globally	globally	ADV
ejpam-6967	227	27	asymptotically	asymptotically	ADV
ejpam-6967	227	28	stable	stable	ADJ
ejpam-6967	227	29	in	in	ADP
ejpam-6967	227	30	ω	ω	NUM
ejpam-6967	227	31	provided	provide	VERB
ejpam-6967	227	32	that	that	SCONJ
ejpam-6967	227	33	the	the	DET
ejpam-6967	227	34	parameters	parameter	NOUN
ejpam-6967	227	35	satisfy	satisfy	VERB
ejpam-6967	227	36	:	:	PUNCT
ejpam-6967	227	37	β1s(t	β1s(t	PROPN
ejpam-6967	227	38	)	)	PUNCT
ejpam-6967	228	1	+	+	CCONJ
ejpam-6967	228	2	β2s(t	β2s(t	PROPN
ejpam-6967	228	3	)	)	PUNCT
ejpam-6967	229	1	+	+	CCONJ
ejpam-6967	229	2	γ	γ	PROPN
ejpam-6967	229	3	≤	≤	PROPN
ejpam-6967	229	4	σ	σ	PROPN
ejpam-6967	229	5	+	+	CCONJ
ejpam-6967	229	6	µ+	µ+	X
ejpam-6967	229	7	α	α	NOUN
ejpam-6967	229	8	,	,	PUNCT
ejpam-6967	229	9	and	and	CCONJ
ejpam-6967	229	10	σ	σ	NUM
ejpam-6967	229	11	≤	≤	NUM
ejpam-6967	229	12	θ	θ	PROPN
ejpam-6967	229	13	+	+	CCONJ
ejpam-6967	229	14	δ	δ	PROPN
ejpam-6967	229	15	+	+	CCONJ
ejpam-6967	229	16	µ+	µ+	PROPN
ejpam-6967	229	17	η	η	PROPN
ejpam-6967	229	18	.	.	PROPN
ejpam-6967	229	19	proof	proof	NOUN
ejpam-6967	229	20	.	.	PUNCT
ejpam-6967	230	1	define	define	VERB
ejpam-6967	230	2	the	the	DET
ejpam-6967	230	3	lyapunov	lyapunov	ADJ
ejpam-6967	230	4	function	function	NOUN
ejpam-6967	230	5	:	:	PUNCT
ejpam-6967	230	6	v(t	v(t	NUM
ejpam-6967	230	7	)	)	PUNCT
ejpam-6967	230	8	=	=	SYM
ejpam-6967	230	9	l(t	l(t	PROPN
ejpam-6967	230	10	)	)	PUNCT
ejpam-6967	231	1	+	+	NUM
ejpam-6967	232	1	σ	σ	NUM
ejpam-6967	232	2	θ	θ	PROPN
ejpam-6967	232	3	+	+	CCONJ
ejpam-6967	232	4	δ	δ	PROPN
ejpam-6967	232	5	+	+	CCONJ
ejpam-6967	232	6	µ+	µ+	PROPN
ejpam-6967	232	7	η	η	PROPN
ejpam-6967	232	8	a(t	a(t	PROPN
ejpam-6967	232	9	)	)	PUNCT
ejpam-6967	232	10	,	,	PUNCT
ejpam-6967	232	11	which	which	PRON
ejpam-6967	232	12	is	be	AUX
ejpam-6967	232	13	non	non	ADJ
ejpam-6967	232	14	-	-	ADJ
ejpam-6967	232	15	negative	negative	ADJ
ejpam-6967	232	16	and	and	CCONJ
ejpam-6967	232	17	continuously	continuously	ADV
ejpam-6967	232	18	differentiable	differentiable	VERB
ejpam-6967	232	19	in	in	ADP
ejpam-6967	232	20	ω	ω	PROPN
ejpam-6967	232	21	,	,	PUNCT
ejpam-6967	232	22	and	and	CCONJ
ejpam-6967	232	23	vanishes	vanish	VERB
ejpam-6967	232	24	only	only	ADV
ejpam-6967	232	25	at	at	ADP
ejpam-6967	232	26	the	the	DET
ejpam-6967	232	27	dfe	dfe	PROPN
ejpam-6967	232	28	taking	take	VERB
ejpam-6967	232	29	the	the	DET
ejpam-6967	232	30	time	time	NOUN
ejpam-6967	232	31	derivative	derivative	NOUN
ejpam-6967	232	32	of	of	ADP
ejpam-6967	232	33	v(t	v(t	NOUN
ejpam-6967	232	34	)	)	PUNCT
ejpam-6967	232	35	along	along	ADP
ejpam-6967	232	36	the	the	DET
ejpam-6967	232	37	trajectories	trajectory	NOUN
ejpam-6967	232	38	of	of	ADP
ejpam-6967	232	39	the	the	DET
ejpam-6967	232	40	system	system	NOUN
ejpam-6967	232	41	:	:	PUNCT
ejpam-6967	232	42	dv	dv	PROPN
ejpam-6967	232	43	dt	dt	X
ejpam-6967	232	44	=	=	PUNCT
ejpam-6967	232	45	dl	dl	PROPN
ejpam-6967	232	46	dt	dt	X
ejpam-6967	232	47	+	+	PROPN
ejpam-6967	232	48	σ	σ	PROPN
ejpam-6967	232	49	θ	θ	PROPN
ejpam-6967	232	50	+	+	CCONJ
ejpam-6967	232	51	δ	δ	PROPN
ejpam-6967	232	52	+	+	CCONJ
ejpam-6967	232	53	µ+	µ+	PROPN
ejpam-6967	232	54	η	η	PROPN
ejpam-6967	232	55	·	·	PUNCT
ejpam-6967	232	56	da	da	X
ejpam-6967	232	57	dt	dt	NOUN
ejpam-6967	233	1	=	=	PUNCT
ejpam-6967	234	1	[	[	X
ejpam-6967	234	2	β1sa+	β1sa+	NOUN
ejpam-6967	234	3	β2sl+	β2sl+	PRON
ejpam-6967	234	4	γs	γs	X
ejpam-6967	234	5	−	−	PROPN
ejpam-6967	234	6	(	(	PUNCT
ejpam-6967	234	7	σ	σ	PROPN
ejpam-6967	234	8	+	+	X
ejpam-6967	234	9	µ+	µ+	X
ejpam-6967	234	10	α)l	α)l	ADJ
ejpam-6967	234	11	]	]	X
ejpam-6967	234	12	+	+	NUM
ejpam-6967	234	13	σ	σ	NUM
ejpam-6967	234	14	θ	θ	PROPN
ejpam-6967	234	15	+	+	CCONJ
ejpam-6967	234	16	δ	δ	PROPN
ejpam-6967	235	1	+	+	CCONJ
ejpam-6967	235	2	µ+	µ+	PROPN
ejpam-6967	235	3	η	η	PROPN
ejpam-6967	235	4	[	[	X
ejpam-6967	235	5	σl−	σl−	PROPN
ejpam-6967	235	6	(	(	PUNCT
ejpam-6967	235	7	θ	θ	PROPN
ejpam-6967	235	8	+	+	CCONJ
ejpam-6967	235	9	δ	δ	PROPN
ejpam-6967	235	10	+	+	CCONJ
ejpam-6967	235	11	µ+	µ+	PRON
ejpam-6967	235	12	η)a	η)a	NOUN
ejpam-6967	235	13	]	]	PUNCT
ejpam-6967	235	14	=	=	SYM
ejpam-6967	235	15	β1sa+	β1sa+	PROPN
ejpam-6967	235	16	β2sl+	β2sl+	PRON
ejpam-6967	235	17	γs	γs	X
ejpam-6967	235	18	−	−	PROPN
ejpam-6967	235	19	(	(	PUNCT
ejpam-6967	235	20	σ	σ	PROPN
ejpam-6967	235	21	+	+	NUM
ejpam-6967	235	22	µ+	µ+	PUNCT
ejpam-6967	235	23	α)l+	α)l+	PROPN
ejpam-6967	235	24	σ2	σ2	PROPN
ejpam-6967	235	25	θ	θ	PROPN
ejpam-6967	235	26	+	+	CCONJ
ejpam-6967	235	27	δ	δ	PROPN
ejpam-6967	236	1	+	+	CCONJ
ejpam-6967	236	2	µ+	µ+	PROPN
ejpam-6967	236	3	η	η	PROPN
ejpam-6967	236	4	l−	l−	PROPN
ejpam-6967	236	5	σa	σa	PROPN
ejpam-6967	236	6	.	.	PUNCT
ejpam-6967	237	1	group	group	NOUN
ejpam-6967	237	2	the	the	DET
ejpam-6967	237	3	terms	term	NOUN
ejpam-6967	237	4	:	:	PUNCT
ejpam-6967	237	5	dv	dv	PROPN
ejpam-6967	237	6	dt	dt	X
ejpam-6967	238	1	=	=	PUNCT
ejpam-6967	238	2	(	(	PUNCT
ejpam-6967	238	3	β2s	β2s	X
ejpam-6967	238	4	+	+	NUM
ejpam-6967	238	5	σ2	σ2	PROPN
ejpam-6967	238	6	θ	θ	PROPN
ejpam-6967	238	7	+	+	CCONJ
ejpam-6967	238	8	δ	δ	PROPN
ejpam-6967	238	9	+	+	CCONJ
ejpam-6967	238	10	µ+	µ+	PROPN
ejpam-6967	238	11	η	η	PROPN
ejpam-6967	238	12	−	−	PROPN
ejpam-6967	238	13	(	(	PUNCT
ejpam-6967	238	14	σ	σ	PROPN
ejpam-6967	238	15	+	+	X
ejpam-6967	238	16	µ+	µ+	X
ejpam-6967	238	17	α	α	NOUN
ejpam-6967	238	18	)	)	PUNCT
ejpam-6967	238	19	)	)	PUNCT
ejpam-6967	238	20	l+	l+	X
ejpam-6967	238	21	(	(	PUNCT
ejpam-6967	238	22	β1s	β1s	PUNCT
ejpam-6967	239	1	−	−	PROPN
ejpam-6967	239	2	σ)a+	σ)a+	NOUN
ejpam-6967	239	3	γs	γ	VERB
ejpam-6967	239	4	.	.	PUNCT
ejpam-6967	240	1	now	now	ADV
ejpam-6967	240	2	,	,	PUNCT
ejpam-6967	240	3	assume	assume	VERB
ejpam-6967	240	4	that	that	SCONJ
ejpam-6967	240	5	the	the	DET
ejpam-6967	240	6	following	follow	VERB
ejpam-6967	240	7	hold	hold	NOUN
ejpam-6967	240	8	for	for	ADP
ejpam-6967	240	9	all	all	DET
ejpam-6967	240	10	s(t	s(t	PROPN
ejpam-6967	240	11	)	)	PUNCT
ejpam-6967	240	12	≤	≤	PUNCT
ejpam-6967	241	1	λ	λ	PROPN
ejpam-6967	241	2	µ	µ	NOUN
ejpam-6967	241	3	:	:	PUNCT
ejpam-6967	241	4	β1s	β1s	PUNCT
ejpam-6967	241	5	≤	≤	PROPN
ejpam-6967	241	6	σ	σ	PROPN
ejpam-6967	241	7	,	,	PUNCT
ejpam-6967	241	8	β2s	β2s	PROPN
ejpam-6967	241	9	+	+	X
ejpam-6967	241	10	σ2	σ2	PROPN
ejpam-6967	241	11	θ	θ	PROPN
ejpam-6967	241	12	+	+	CCONJ
ejpam-6967	241	13	δ	δ	PROPN
ejpam-6967	241	14	+	+	CCONJ
ejpam-6967	241	15	µ+	µ+	PROPN
ejpam-6967	241	16	η	η	PROPN
ejpam-6967	241	17	≤	≤	PROPN
ejpam-6967	241	18	σ	σ	PROPN
ejpam-6967	241	19	+	+	CCONJ
ejpam-6967	241	20	µ+	µ+	X
ejpam-6967	241	21	α	α	NOUN
ejpam-6967	241	22	,	,	PUNCT
ejpam-6967	241	23	γs	γ	VERB
ejpam-6967	241	24	≈	≈	PROPN
ejpam-6967	241	25	0	0	NUM
ejpam-6967	241	26	(	(	PUNCT
ejpam-6967	241	27	negligible	negligible	ADJ
ejpam-6967	241	28	or	or	CCONJ
ejpam-6967	241	29	controlled	control	VERB
ejpam-6967	241	30	)	)	PUNCT
ejpam-6967	241	31	.	.	PUNCT
ejpam-6967	242	1	then	then	ADV
ejpam-6967	242	2	each	each	DET
ejpam-6967	242	3	term	term	NOUN
ejpam-6967	242	4	in	in	ADP
ejpam-6967	242	5	the	the	DET
ejpam-6967	242	6	above	above	ADJ
ejpam-6967	242	7	derivative	derivative	NOUN
ejpam-6967	242	8	is	be	AUX
ejpam-6967	242	9	non	non	ADJ
ejpam-6967	242	10	-	-	ADJ
ejpam-6967	242	11	positive	positive	ADJ
ejpam-6967	242	12	,	,	PUNCT
ejpam-6967	242	13	implying	imply	VERB
ejpam-6967	242	14	:	:	PUNCT
ejpam-6967	242	15	dv	dv	PROPN
ejpam-6967	242	16	dt	dt	PROPN
ejpam-6967	242	17	≤	≤	PROPN
ejpam-6967	242	18	0	0	NUM
ejpam-6967	242	19	for	for	ADP
ejpam-6967	242	20	all	all	DET
ejpam-6967	242	21	t	t	PROPN
ejpam-6967	242	22	≥	≥	NOUN
ejpam-6967	242	23	0	0	NUM
ejpam-6967	242	24	.	.	PUNCT
ejpam-6967	243	1	moreover	moreover	ADV
ejpam-6967	243	2	,	,	PUNCT
ejpam-6967	243	3	dv	dv	PROPN
ejpam-6967	243	4	dt	dt	X
ejpam-6967	244	1	=	=	PUNCT
ejpam-6967	244	2	0	0	PUNCT
ejpam-6967	245	1	if	if	SCONJ
ejpam-6967	245	2	and	and	CCONJ
ejpam-6967	245	3	only	only	ADV
ejpam-6967	245	4	if	if	SCONJ
ejpam-6967	245	5	l	l	NOUN
ejpam-6967	245	6	=	=	PUNCT
ejpam-6967	245	7	a	a	DET
ejpam-6967	245	8	=	=	NOUN
ejpam-6967	245	9	0	0	NUM
ejpam-6967	245	10	.	.	PUNCT
ejpam-6967	246	1	using	use	VERB
ejpam-6967	246	2	lasalle	lasalle	PROPN
ejpam-6967	246	3	’s	’s	PART
ejpam-6967	246	4	invariance	invariance	NOUN
ejpam-6967	246	5	principle	principle	NOUN
ejpam-6967	246	6	,	,	PUNCT
ejpam-6967	246	7	the	the	DET
ejpam-6967	246	8	largest	large	ADJ
ejpam-6967	246	9	invariant	invariant	ADJ
ejpam-6967	246	10	set	set	NOUN
ejpam-6967	246	11	where	where	SCONJ
ejpam-6967	246	12	dv	dv	PROPN
ejpam-6967	246	13	dt	dt	X
ejpam-6967	246	14	=	=	SYM
ejpam-6967	246	15	0	0	NUM
ejpam-6967	246	16	is	be	AUX
ejpam-6967	246	17	the	the	DET
ejpam-6967	246	18	disease	disease	NOUN
ejpam-6967	246	19	-	-	PUNCT
ejpam-6967	246	20	free	free	ADJ
ejpam-6967	246	21	equilibrium	equilibrium	NOUN
ejpam-6967	246	22	e0	e0	PROPN
ejpam-6967	246	23	.	.	PUNCT
ejpam-6967	247	1	hence	hence	ADV
ejpam-6967	247	2	,	,	PUNCT
ejpam-6967	247	3	all	all	DET
ejpam-6967	247	4	trajectories	trajectory	NOUN
ejpam-6967	247	5	starting	start	VERB
ejpam-6967	247	6	in	in	ADP
ejpam-6967	247	7	ω	ω	NUM
ejpam-6967	247	8	converge	converge	NOUN
ejpam-6967	247	9	to	to	ADP
ejpam-6967	247	10	e0	e0	PROPN
ejpam-6967	247	11	.	.	PUNCT
ejpam-6967	248	1	g.	g.	PROPN
ejpam-6967	248	2	ali	ali	PROPN
ejpam-6967	248	3	et	et	PROPN
ejpam-6967	248	4	al	al	PROPN
ejpam-6967	248	5	.	.	PUNCT
ejpam-6967	248	6	/	/	SYM
ejpam-6967	248	7	eur	eur	PROPN
ejpam-6967	248	8	.	.	PUNCT
ejpam-6967	249	1	j.	j.	PROPN
ejpam-6967	249	2	pure	pure	PROPN
ejpam-6967	249	3	appl	appl	PROPN
ejpam-6967	249	4	.	.	PROPN
ejpam-6967	249	5	math	math	PROPN
ejpam-6967	249	6	,	,	PUNCT
ejpam-6967	249	7	18	18	NUM
ejpam-6967	249	8	(	(	PUNCT
ejpam-6967	249	9	4	4	NUM
ejpam-6967	249	10	)	)	PUNCT
ejpam-6967	249	11	(	(	PUNCT
ejpam-6967	249	12	2025	2025	NUM
ejpam-6967	249	13	)	)	PUNCT
ejpam-6967	249	14	,	,	PUNCT
ejpam-6967	249	15	6967	6967	NUM
ejpam-6967	249	16	15	15	NUM
ejpam-6967	249	17	of	of	ADP
ejpam-6967	249	18	29	29	NUM
ejpam-6967	249	19	2.4	2.4	NUM
ejpam-6967	249	20	.	.	PUNCT
ejpam-6967	250	1	stability	stability	NOUN
ejpam-6967	250	2	verification	verification	NOUN
ejpam-6967	250	3	the	the	DET
ejpam-6967	250	4	theoretical	theoretical	ADJ
ejpam-6967	250	5	stability	stability	NOUN
ejpam-6967	250	6	properties	property	NOUN
ejpam-6967	250	7	of	of	ADP
ejpam-6967	250	8	the	the	DET
ejpam-6967	250	9	slaqrd	slaqrd	PROPN
ejpam-6967	250	10	model	model	NOUN
ejpam-6967	250	11	,	,	PUNCT
ejpam-6967	250	12	established	establish	VERB
ejpam-6967	250	13	through	through	ADP
ejpam-6967	250	14	the	the	DET
ejpam-6967	250	15	basic	basic	ADJ
ejpam-6967	250	16	reproduction	reproduction	NOUN
ejpam-6967	250	17	number	number	NOUN
ejpam-6967	250	18	r0	r0	NOUN
ejpam-6967	250	19	,	,	PUNCT
ejpam-6967	250	20	are	be	AUX
ejpam-6967	250	21	validated	validate	VERB
ejpam-6967	250	22	numerically	numerically	ADV
ejpam-6967	250	23	by	by	ADP
ejpam-6967	250	24	simulating	simulate	VERB
ejpam-6967	250	25	the	the	DET
ejpam-6967	250	26	system	system	NOUN
ejpam-6967	250	27	under	under	ADP
ejpam-6967	250	28	two	two	NUM
ejpam-6967	250	29	distinct	distinct	ADJ
ejpam-6967	250	30	parameter	parameter	NOUN
ejpam-6967	250	31	regimes	regime	NOUN
ejpam-6967	250	32	.	.	PUNCT
ejpam-6967	251	1	the	the	DET
ejpam-6967	251	2	simulations	simulation	NOUN
ejpam-6967	251	3	are	be	AUX
ejpam-6967	251	4	performed	perform	VERB
ejpam-6967	251	5	for	for	ADP
ejpam-6967	251	6	multiple	multiple	ADJ
ejpam-6967	251	7	initial	initial	ADJ
ejpam-6967	251	8	conditions	condition	NOUN
ejpam-6967	251	9	to	to	PART
ejpam-6967	251	10	demonstrate	demonstrate	VERB
ejpam-6967	251	11	the	the	DET
ejpam-6967	251	12	robustness	robustness	NOUN
ejpam-6967	251	13	of	of	ADP
ejpam-6967	251	14	the	the	DET
ejpam-6967	251	15	equilibrium	equilibrium	NOUN
ejpam-6967	251	16	states	state	NOUN
ejpam-6967	251	17	.	.	PUNCT
ejpam-6967	252	1	the	the	DET
ejpam-6967	252	2	first	first	ADJ
ejpam-6967	252	3	regime	regime	NOUN
ejpam-6967	252	4	uses	use	VERB
ejpam-6967	252	5	a	a	DET
ejpam-6967	252	6	lower	low	ADJ
ejpam-6967	252	7	infection	infection	NOUN
ejpam-6967	252	8	rate	rate	NOUN
ejpam-6967	252	9	(	(	PUNCT
ejpam-6967	252	10	β	β	X
ejpam-6967	252	11	=	=	NUM
ejpam-6967	252	12	0.4	0.4	NUM
ejpam-6967	252	13	)	)	PUNCT
ejpam-6967	252	14	,	,	PUNCT
ejpam-6967	252	15	resulting	result	VERB
ejpam-6967	252	16	in	in	ADP
ejpam-6967	252	17	rdfe	rdfe	PROPN
ejpam-6967	252	18	0	0	PUNCT
ejpam-6967	253	1	≈	≈	NOUN
ejpam-6967	253	2	0.86	0.86	NUM
ejpam-6967	253	3	<	<	X
ejpam-6967	253	4	1	1	NUM
ejpam-6967	253	5	,	,	PUNCT
ejpam-6967	253	6	which	which	PRON
ejpam-6967	253	7	theoretically	theoretically	ADV
ejpam-6967	253	8	ensures	ensure	VERB
ejpam-6967	253	9	the	the	DET
ejpam-6967	253	10	stability	stability	NOUN
ejpam-6967	253	11	of	of	ADP
ejpam-6967	253	12	the	the	DET
ejpam-6967	253	13	disease	disease	NOUN
ejpam-6967	253	14	-	-	PUNCT
ejpam-6967	253	15	free	free	ADJ
ejpam-6967	253	16	equilibrium	equilibrium	NOUN
ejpam-6967	253	17	(	(	PUNCT
ejpam-6967	253	18	dfe	dfe	PROPN
ejpam-6967	253	19	)	)	PUNCT
ejpam-6967	253	20	as	as	SCONJ
ejpam-6967	253	21	shown	show	VERB
ejpam-6967	253	22	in	in	ADP
ejpam-6967	253	23	the	the	DET
ejpam-6967	253	24	system	system	NOUN
ejpam-6967	253	25	of	of	ADP
ejpam-6967	253	26	the	the	DET
ejpam-6967	253	27	graphs	graph	NOUN
ejpam-6967	253	28	(	(	PUNCT
ejpam-6967	253	29	4	4	NUM
ejpam-6967	253	30	)	)	PUNCT
ejpam-6967	253	31	and	and	CCONJ
ejpam-6967	253	32	(	(	PUNCT
ejpam-6967	253	33	5	5	NUM
ejpam-6967	253	34	)	)	PUNCT
ejpam-6967	253	35	.	.	PUNCT
ejpam-6967	254	1	the	the	DET
ejpam-6967	254	2	second	second	ADJ
ejpam-6967	254	3	regime	regime	NOUN
ejpam-6967	254	4	employs	employ	VERB
ejpam-6967	254	5	a	a	DET
ejpam-6967	254	6	higher	high	ADJ
ejpam-6967	254	7	infection	infection	NOUN
ejpam-6967	254	8	rate	rate	NOUN
ejpam-6967	254	9	(	(	PUNCT
ejpam-6967	254	10	β	β	X
ejpam-6967	254	11	=	=	NOUN
ejpam-6967	254	12	0.6	0.6	NUM
ejpam-6967	254	13	)	)	PUNCT
ejpam-6967	254	14	,	,	PUNCT
ejpam-6967	254	15	yielding	yield	VERB
ejpam-6967	254	16	rendemic	rendemic	NOUN
ejpam-6967	254	17	0	0	PUNCT
ejpam-6967	255	1	≈	≈	PROPN
ejpam-6967	255	2	1.78	1.78	NUM
ejpam-6967	255	3	>	>	SYM
ejpam-6967	255	4	1	1	NUM
ejpam-6967	255	5	,	,	PUNCT
ejpam-6967	255	6	which	which	PRON
ejpam-6967	255	7	predicts	predict	VERB
ejpam-6967	255	8	the	the	DET
ejpam-6967	255	9	stability	stability	NOUN
ejpam-6967	255	10	of	of	ADP
ejpam-6967	255	11	an	an	DET
ejpam-6967	255	12	endemic	endemic	ADJ
ejpam-6967	255	13	equilibrium	equilibrium	NOUN
ejpam-6967	255	14	.	.	PUNCT
ejpam-6967	256	1	the	the	DET
ejpam-6967	256	2	timeseries	timeserie	NOUN
ejpam-6967	256	3	plots	plot	VERB
ejpam-6967	256	4	for	for	ADP
ejpam-6967	256	5	all	all	DET
ejpam-6967	256	6	compartments	compartment	NOUN
ejpam-6967	256	7	(	(	PUNCT
ejpam-6967	256	8	s	s	X
ejpam-6967	256	9	,	,	PUNCT
ejpam-6967	256	10	l	l	NOUN
ejpam-6967	256	11	,	,	PUNCT
ejpam-6967	256	12	a	a	PRON
ejpam-6967	256	13	,	,	PUNCT
ejpam-6967	256	14	q	q	ADJ
ejpam-6967	256	15	,	,	PUNCT
ejpam-6967	256	16	r	r	NOUN
ejpam-6967	256	17	,	,	PUNCT
ejpam-6967	256	18	d	d	NOUN
ejpam-6967	256	19	)	)	PUNCT
ejpam-6967	256	20	confirm	confirm	VERB
ejpam-6967	256	21	these	these	DET
ejpam-6967	256	22	theoretical	theoretical	ADJ
ejpam-6967	256	23	predictions	prediction	NOUN
ejpam-6967	256	24	.	.	PUNCT
ejpam-6967	257	1	in	in	ADP
ejpam-6967	257	2	the	the	DET
ejpam-6967	257	3	dfe	dfe	PROPN
ejpam-6967	257	4	case	case	NOUN
ejpam-6967	257	5	(	(	PUNCT
ejpam-6967	257	6	r0	r0	NOUN
ejpam-6967	257	7	<	<	X
ejpam-6967	257	8	1	1	NUM
ejpam-6967	257	9	,	,	PUNCT
ejpam-6967	257	10	solid	solid	ADJ
ejpam-6967	257	11	lines	line	NOUN
ejpam-6967	257	12	)	)	PUNCT
ejpam-6967	257	13	,	,	PUNCT
ejpam-6967	257	14	all	all	DET
ejpam-6967	257	15	trajectories	trajectory	NOUN
ejpam-6967	257	16	originating	originate	VERB
ejpam-6967	257	17	from	from	ADP
ejpam-6967	257	18	different	different	ADJ
ejpam-6967	257	19	initial	initial	ADJ
ejpam-6967	257	20	populations	population	NOUN
ejpam-6967	257	21	converge	converge	VERB
ejpam-6967	257	22	uniformly	uniformly	ADV
ejpam-6967	257	23	towards	towards	ADP
ejpam-6967	257	24	the	the	DET
ejpam-6967	257	25	state	state	NOUN
ejpam-6967	257	26	(	(	PUNCT
ejpam-6967	257	27	s	s	PROPN
ejpam-6967	257	28	,	,	PUNCT
ejpam-6967	257	29	l	l	NOUN
ejpam-6967	257	30	,	,	PUNCT
ejpam-6967	257	31	a	a	PRON
ejpam-6967	257	32	,	,	PUNCT
ejpam-6967	257	33	q	q	NOUN
ejpam-6967	257	34	,	,	PUNCT
ejpam-6967	257	35	r	r	NOUN
ejpam-6967	257	36	,	,	PUNCT
ejpam-6967	257	37	d	d	NOUN
ejpam-6967	257	38	)	)	PUNCT
ejpam-6967	257	39	=	=	SYM
ejpam-6967	257	40	(	(	PUNCT
ejpam-6967	257	41	λ/µ	λ/µ	X
ejpam-6967	257	42	,	,	PUNCT
ejpam-6967	257	43	0	0	NUM
ejpam-6967	257	44	,	,	PUNCT
ejpam-6967	257	45	0	0	NUM
ejpam-6967	257	46	,	,	PUNCT
ejpam-6967	257	47	0	0	NUM
ejpam-6967	257	48	,	,	PUNCT
ejpam-6967	257	49	0	0	NUM
ejpam-6967	257	50	,	,	PUNCT
ejpam-6967	257	51	0	0	NUM
ejpam-6967	257	52	)	)	PUNCT
ejpam-6967	257	53	.	.	PUNCT
ejpam-6967	258	1	the	the	DET
ejpam-6967	258	2	susceptible	susceptible	ADJ
ejpam-6967	258	3	population	population	NOUN
ejpam-6967	258	4	s(t	s(t	PROPN
ejpam-6967	258	5	)	)	PUNCT
ejpam-6967	258	6	stabilizes	stabilize	VERB
ejpam-6967	258	7	at	at	ADP
ejpam-6967	258	8	s0	s0	PROPN
ejpam-6967	258	9	=	=	PUNCT
ejpam-6967	258	10	λ/µ	λ/µ	X
ejpam-6967	258	11	=	=	NUM
ejpam-6967	258	12	10	10	NUM
ejpam-6967	258	13	,	,	PUNCT
ejpam-6967	258	14	000	000	NUM
ejpam-6967	258	15	,	,	PUNCT
ejpam-6967	258	16	while	while	SCONJ
ejpam-6967	258	17	the	the	DET
ejpam-6967	258	18	infected	infect	VERB
ejpam-6967	258	19	,	,	PUNCT
ejpam-6967	258	20	quarantined	quarantined	ADJ
ejpam-6967	258	21	,	,	PUNCT
ejpam-6967	258	22	and	and	CCONJ
ejpam-6967	258	23	recovered	recover	VERB
ejpam-6967	258	24	compartments	compartment	NOUN
ejpam-6967	258	25	decay	decay	VERB
ejpam-6967	258	26	exponentially	exponentially	ADV
ejpam-6967	258	27	to	to	ADP
ejpam-6967	258	28	zero	zero	NUM
ejpam-6967	258	29	.	.	PUNCT
ejpam-6967	259	1	this	this	DET
ejpam-6967	259	2	universal	universal	ADJ
ejpam-6967	259	3	convergence	convergence	NOUN
ejpam-6967	259	4	,	,	PUNCT
ejpam-6967	259	5	independent	independent	ADJ
ejpam-6967	259	6	of	of	ADP
ejpam-6967	259	7	the	the	DET
ejpam-6967	259	8	initial	initial	ADJ
ejpam-6967	259	9	severity	severity	NOUN
ejpam-6967	259	10	of	of	ADP
ejpam-6967	259	11	the	the	DET
ejpam-6967	259	12	outbreak	outbreak	NOUN
ejpam-6967	259	13	,	,	PUNCT
ejpam-6967	259	14	numerically	numerically	ADV
ejpam-6967	259	15	proves	prove	VERB
ejpam-6967	259	16	the	the	DET
ejpam-6967	259	17	global	global	ADJ
ejpam-6967	259	18	asymptotic	asymptotic	ADJ
ejpam-6967	259	19	stability	stability	NOUN
ejpam-6967	259	20	of	of	ADP
ejpam-6967	259	21	the	the	DET
ejpam-6967	259	22	dfe	dfe	PROPN
ejpam-6967	259	23	.	.	PUNCT
ejpam-6967	260	1	conversely	conversely	ADV
ejpam-6967	260	2	,	,	PUNCT
ejpam-6967	260	3	in	in	ADP
ejpam-6967	260	4	the	the	DET
ejpam-6967	260	5	endemic	endemic	ADJ
ejpam-6967	260	6	case	case	NOUN
ejpam-6967	260	7	(	(	PUNCT
ejpam-6967	260	8	r0	r0	NOUN
ejpam-6967	260	9	>	>	X
ejpam-6967	260	10	1	1	NUM
ejpam-6967	260	11	,	,	PUNCT
ejpam-6967	260	12	dashed	dash	VERB
ejpam-6967	260	13	lines	line	NOUN
ejpam-6967	260	14	)	)	PUNCT
ejpam-6967	260	15	,	,	PUNCT
ejpam-6967	260	16	trajectories	trajectory	NOUN
ejpam-6967	260	17	from	from	ADP
ejpam-6967	260	18	all	all	DET
ejpam-6967	260	19	initial	initial	ADJ
ejpam-6967	260	20	conditions	condition	NOUN
ejpam-6967	260	21	converge	converge	VERB
ejpam-6967	260	22	to	to	ADP
ejpam-6967	260	23	a	a	DET
ejpam-6967	260	24	positive	positive	ADJ
ejpam-6967	260	25	,	,	PUNCT
ejpam-6967	260	26	stable	stable	ADJ
ejpam-6967	260	27	equilibrium	equilibrium	NOUN
ejpam-6967	260	28	where	where	SCONJ
ejpam-6967	260	29	the	the	DET
ejpam-6967	260	30	virus	virus	NOUN
ejpam-6967	260	31	persists	persist	VERB
ejpam-6967	260	32	indefinitely	indefinitely	ADV
ejpam-6967	260	33	within	within	ADP
ejpam-6967	260	34	the	the	DET
ejpam-6967	260	35	network	network	NOUN
ejpam-6967	260	36	.	.	PUNCT
ejpam-6967	261	1	the	the	DET
ejpam-6967	261	2	final	final	ADJ
ejpam-6967	261	3	number	number	NOUN
ejpam-6967	261	4	of	of	ADP
ejpam-6967	261	5	susceptible	susceptible	ADJ
ejpam-6967	261	6	hosts	host	NOUN
ejpam-6967	261	7	is	be	AUX
ejpam-6967	261	8	maintained	maintain	VERB
ejpam-6967	261	9	below	below	ADP
ejpam-6967	261	10	the	the	DET
ejpam-6967	261	11	dfe	dfe	PROPN
ejpam-6967	261	12	level	level	NOUN
ejpam-6967	261	13	(	(	PUNCT
ejpam-6967	261	14	s∗	s∗	PROPN
ejpam-6967	261	15	<	<	X
ejpam-6967	261	16	λ/µ	λ/µ	X
ejpam-6967	261	17	)	)	PUNCT
ejpam-6967	261	18	,	,	PUNCT
ejpam-6967	261	19	and	and	CCONJ
ejpam-6967	261	20	a	a	DET
ejpam-6967	261	21	constant	constant	ADJ
ejpam-6967	261	22	,	,	PUNCT
ejpam-6967	261	23	non	non	ADJ
ejpam-6967	261	24	-	-	ADJ
ejpam-6967	261	25	zero	zero	NUM
ejpam-6967	261	26	population	population	NOUN
ejpam-6967	261	27	exists	exist	VERB
ejpam-6967	261	28	in	in	ADP
ejpam-6967	261	29	the	the	DET
ejpam-6967	261	30	latent	latent	NOUN
ejpam-6967	261	31	(	(	PUNCT
ejpam-6967	261	32	l∗	l∗	PROPN
ejpam-6967	261	33	)	)	PUNCT
ejpam-6967	261	34	,	,	PUNCT
ejpam-6967	261	35	active	active	ADJ
ejpam-6967	261	36	(	(	PUNCT
ejpam-6967	261	37	a∗	a∗	NOUN
ejpam-6967	261	38	)	)	PUNCT
ejpam-6967	261	39	,	,	PUNCT
ejpam-6967	261	40	and	and	CCONJ
ejpam-6967	261	41	other	other	ADJ
ejpam-6967	261	42	compartments	compartment	NOUN
ejpam-6967	261	43	,	,	PUNCT
ejpam-6967	261	44	characterizing	characterize	VERB
ejpam-6967	261	45	an	an	DET
ejpam-6967	261	46	endemic	endemic	ADJ
ejpam-6967	261	47	state	state	NOUN
ejpam-6967	261	48	.	.	PUNCT
ejpam-6967	262	1	the	the	DET
ejpam-6967	262	2	phase	phase	NOUN
ejpam-6967	262	3	portrait	portrait	NOUN
ejpam-6967	262	4	in	in	ADP
ejpam-6967	262	5	the	the	DET
ejpam-6967	262	6	susceptible	susceptible	ADJ
ejpam-6967	262	7	-	-	PUNCT
ejpam-6967	262	8	infectious	infectious	ADJ
ejpam-6967	262	9	(	(	PUNCT
ejpam-6967	262	10	s	s	NOUN
ejpam-6967	262	11	-	-	PUNCT
ejpam-6967	262	12	i	i	NOUN
ejpam-6967	262	13	)	)	PUNCT
ejpam-6967	262	14	plane	plane	NOUN
ejpam-6967	262	15	for	for	ADP
ejpam-6967	262	16	the	the	DET
ejpam-6967	262	17	endemic	endemic	ADJ
ejpam-6967	262	18	case	case	NOUN
ejpam-6967	262	19	further	far	ADV
ejpam-6967	262	20	illustrates	illustrate	VERB
ejpam-6967	262	21	this	this	PRON
ejpam-6967	262	22	,	,	PUNCT
ejpam-6967	262	23	showing	show	VERB
ejpam-6967	262	24	all	all	DET
ejpam-6967	262	25	trajectories	trajectory	NOUN
ejpam-6967	262	26	converging	converge	VERB
ejpam-6967	262	27	to	to	ADP
ejpam-6967	262	28	a	a	DET
ejpam-6967	262	29	single	single	ADJ
ejpam-6967	262	30	,	,	PUNCT
ejpam-6967	262	31	stable	stable	ADJ
ejpam-6967	262	32	endemic	endemic	ADJ
ejpam-6967	262	33	point	point	NOUN
ejpam-6967	262	34	(	(	PUNCT
ejpam-6967	262	35	s∗	s∗	PROPN
ejpam-6967	262	36	,	,	PUNCT
ejpam-6967	262	37	i∗	i∗	NOUN
ejpam-6967	262	38	)	)	PUNCT
ejpam-6967	262	39	,	,	PUNCT
ejpam-6967	262	40	thus	thus	ADV
ejpam-6967	262	41	confirming	confirm	VERB
ejpam-6967	262	42	the	the	DET
ejpam-6967	262	43	existence	existence	NOUN
ejpam-6967	262	44	and	and	CCONJ
ejpam-6967	262	45	stability	stability	NOUN
ejpam-6967	262	46	of	of	ADP
ejpam-6967	262	47	the	the	DET
ejpam-6967	262	48	endemic	endemic	ADJ
ejpam-6967	262	49	equilibrium	equilibrium	NOUN
ejpam-6967	262	50	.	.	PUNCT
ejpam-6967	263	1	0	0	NUM
ejpam-6967	264	1	20	20	NUM
ejpam-6967	264	2	40	40	NUM
ejpam-6967	264	3	60	60	NUM
ejpam-6967	264	4	80	80	NUM
ejpam-6967	264	5	100	100	NUM
ejpam-6967	264	6	120	120	NUM
ejpam-6967	264	7	140	140	NUM
ejpam-6967	264	8	160	160	NUM
ejpam-6967	264	9	180	180	NUM
ejpam-6967	264	10	200	200	NUM
ejpam-6967	264	11	time	time	NOUN
ejpam-6967	264	12	(	(	PUNCT
ejpam-6967	264	13	days	day	NOUN
ejpam-6967	264	14	)	)	PUNCT
ejpam-6967	264	15	200	200	NUM
ejpam-6967	264	16	300	300	NUM
ejpam-6967	264	17	400	400	NUM
ejpam-6967	264	18	500	500	NUM
ejpam-6967	264	19	600	600	NUM
ejpam-6967	264	20	700	700	NUM
ejpam-6967	264	21	800	800	NUM
ejpam-6967	264	22	900	900	NUM
ejpam-6967	264	23	1000	1000	NUM
ejpam-6967	265	1	p	p	NOUN
ejpam-6967	265	2	o	o	X
ejpam-6967	265	3	p	p	X
ejpam-6967	265	4	u	u	X
ejpam-6967	265	5	la	la	X
ejpam-6967	265	6	ti	ti	NOUN
ejpam-6967	265	7	o	o	NOUN
ejpam-6967	265	8	n	n	CCONJ
ejpam-6967	265	9	susceptible	susceptible	ADJ
ejpam-6967	265	10	population	population	NOUN
ejpam-6967	265	11	stability	stability	NOUN
ejpam-6967	265	12	analysis	analysis	NOUN
ejpam-6967	265	13	baseline	baseline	NOUN
ejpam-6967	265	14	data	datum	NOUN
ejpam-6967	265	15	1	1	NUM
ejpam-6967	265	16	(	(	PUNCT
ejpam-6967	265	17	dfe	dfe	PROPN
ejpam-6967	265	18	)	)	PUNCT
ejpam-6967	265	19	baseline	baseline	PROPN
ejpam-6967	265	20	data	datum	NOUN
ejpam-6967	265	21	1	1	NUM
ejpam-6967	265	22	(	(	PUNCT
ejpam-6967	265	23	endemic	endemic	ADJ
ejpam-6967	265	24	)	)	PUNCT
ejpam-6967	265	25	baseline	baseline	PROPN
ejpam-6967	265	26	data	datum	NOUN
ejpam-6967	265	27	2	2	NUM
ejpam-6967	265	28	(	(	PUNCT
ejpam-6967	265	29	dfe	dfe	PROPN
ejpam-6967	265	30	)	)	PUNCT
ejpam-6967	265	31	baseline	baseline	PROPN
ejpam-6967	265	32	data	datum	NOUN
ejpam-6967	265	33	2	2	NUM
ejpam-6967	265	34	(	(	PUNCT
ejpam-6967	265	35	endemic	endemic	ADJ
ejpam-6967	265	36	)	)	PUNCT
ejpam-6967	265	37	baseline	baseline	PROPN
ejpam-6967	265	38	data	datum	NOUN
ejpam-6967	265	39	3	3	NUM
ejpam-6967	265	40	(	(	PUNCT
ejpam-6967	265	41	dfe	dfe	PROPN
ejpam-6967	265	42	)	)	PUNCT
ejpam-6967	265	43	baseline	baseline	PROPN
ejpam-6967	265	44	data	datum	NOUN
ejpam-6967	265	45	3	3	NUM
ejpam-6967	265	46	(	(	PUNCT
ejpam-6967	265	47	endemic	endemic	ADJ
ejpam-6967	265	48	)	)	PUNCT
ejpam-6967	265	49	baseline	baseline	PROPN
ejpam-6967	265	50	data	datum	NOUN
ejpam-6967	265	51	4	4	NUM
ejpam-6967	265	52	(	(	PUNCT
ejpam-6967	265	53	dfe	dfe	PROPN
ejpam-6967	265	54	)	)	PUNCT
ejpam-6967	265	55	baseline	baseline	PROPN
ejpam-6967	265	56	data	datum	NOUN
ejpam-6967	265	57	4	4	NUM
ejpam-6967	265	58	(	(	PUNCT
ejpam-6967	265	59	endemic	endemic	ADJ
ejpam-6967	265	60	)	)	PUNCT
ejpam-6967	265	61	dfe	dfe	PROPN
ejpam-6967	265	62	case	case	NOUN
ejpam-6967	265	63	(	(	PUNCT
ejpam-6967	265	64	r0	r0	NOUN
ejpam-6967	265	65	=	=	NOUN
ejpam-6967	265	66	0.21	0.21	NUM
ejpam-6967	265	67	<	<	X
ejpam-6967	265	68	1	1	NUM
ejpam-6967	265	69	)	)	PUNCT
ejpam-6967	265	70	endemic	endemic	ADJ
ejpam-6967	265	71	case	case	NOUN
ejpam-6967	265	72	(	(	PUNCT
ejpam-6967	265	73	r0	r0	NOUN
ejpam-6967	265	74	=	=	NOUN
ejpam-6967	265	75	13.82	13.82	NUM
ejpam-6967	265	76	>	>	SYM
ejpam-6967	265	77	1	1	NUM
ejpam-6967	265	78	)	)	PUNCT
ejpam-6967	265	79	0	0	NUM
ejpam-6967	265	80	20	20	NUM
ejpam-6967	265	81	40	40	NUM
ejpam-6967	265	82	60	60	NUM
ejpam-6967	265	83	80	80	NUM
ejpam-6967	265	84	100	100	NUM
ejpam-6967	265	85	120	120	NUM
ejpam-6967	265	86	140	140	NUM
ejpam-6967	265	87	160	160	NUM
ejpam-6967	265	88	180	180	NUM
ejpam-6967	265	89	200	200	NUM
ejpam-6967	265	90	time	time	NOUN
ejpam-6967	265	91	(	(	PUNCT
ejpam-6967	265	92	days	day	NOUN
ejpam-6967	265	93	)	)	PUNCT
ejpam-6967	265	94	0	0	NUM
ejpam-6967	266	1	50	50	NUM
ejpam-6967	266	2	100	100	NUM
ejpam-6967	266	3	150	150	NUM
ejpam-6967	266	4	p	p	NOUN
ejpam-6967	266	5	o	o	X
ejpam-6967	266	6	p	p	X
ejpam-6967	266	7	u	u	X
ejpam-6967	266	8	la	la	X
ejpam-6967	266	9	ti	ti	NOUN
ejpam-6967	266	10	o	o	NOUN
ejpam-6967	266	11	n	n	ADP
ejpam-6967	266	12	exposed	expose	VERB
ejpam-6967	266	13	population	population	NOUN
ejpam-6967	266	14	stability	stability	NOUN
ejpam-6967	266	15	analysis	analysis	NOUN
ejpam-6967	266	16	baseline	baseline	NOUN
ejpam-6967	266	17	data	datum	NOUN
ejpam-6967	266	18	1	1	NUM
ejpam-6967	266	19	(	(	PUNCT
ejpam-6967	266	20	dfe	dfe	PROPN
ejpam-6967	266	21	)	)	PUNCT
ejpam-6967	266	22	baseline	baseline	PROPN
ejpam-6967	266	23	data	datum	NOUN
ejpam-6967	266	24	1	1	NUM
ejpam-6967	266	25	(	(	PUNCT
ejpam-6967	266	26	endemic	endemic	ADJ
ejpam-6967	266	27	)	)	PUNCT
ejpam-6967	266	28	baseline	baseline	PROPN
ejpam-6967	266	29	data	datum	NOUN
ejpam-6967	266	30	2	2	NUM
ejpam-6967	266	31	(	(	PUNCT
ejpam-6967	266	32	dfe	dfe	PROPN
ejpam-6967	266	33	)	)	PUNCT
ejpam-6967	266	34	baseline	baseline	PROPN
ejpam-6967	266	35	data	datum	NOUN
ejpam-6967	266	36	2	2	NUM
ejpam-6967	266	37	(	(	PUNCT
ejpam-6967	266	38	endemic	endemic	ADJ
ejpam-6967	266	39	)	)	PUNCT
ejpam-6967	266	40	baseline	baseline	PROPN
ejpam-6967	266	41	data	datum	NOUN
ejpam-6967	266	42	3	3	NUM
ejpam-6967	266	43	(	(	PUNCT
ejpam-6967	266	44	dfe	dfe	PROPN
ejpam-6967	266	45	)	)	PUNCT
ejpam-6967	266	46	baseline	baseline	PROPN
ejpam-6967	266	47	data	datum	NOUN
ejpam-6967	266	48	3	3	NUM
ejpam-6967	266	49	(	(	PUNCT
ejpam-6967	266	50	endemic	endemic	ADJ
ejpam-6967	266	51	)	)	PUNCT
ejpam-6967	266	52	baseline	baseline	PROPN
ejpam-6967	266	53	data	datum	NOUN
ejpam-6967	266	54	4	4	NUM
ejpam-6967	266	55	(	(	PUNCT
ejpam-6967	266	56	dfe	dfe	PROPN
ejpam-6967	266	57	)	)	PUNCT
ejpam-6967	266	58	baseline	baseline	PROPN
ejpam-6967	266	59	data	datum	NOUN
ejpam-6967	266	60	4	4	NUM
ejpam-6967	266	61	(	(	PUNCT
ejpam-6967	266	62	endemic	endemic	ADJ
ejpam-6967	266	63	)	)	PUNCT
ejpam-6967	266	64	endemic	endemic	ADJ
ejpam-6967	266	65	case	case	NOUN
ejpam-6967	266	66	(	(	PUNCT
ejpam-6967	266	67	r0	r0	NOUN
ejpam-6967	266	68	=	=	NOUN
ejpam-6967	266	69	13.82	13.82	NUM
ejpam-6967	266	70	>	>	SYM
ejpam-6967	266	71	1	1	NUM
ejpam-6967	266	72	)	)	PUNCT
ejpam-6967	266	73	dfe	dfe	PROPN
ejpam-6967	266	74	case	case	NOUN
ejpam-6967	266	75	(	(	PUNCT
ejpam-6967	266	76	r0	r0	NOUN
ejpam-6967	266	77	=	=	NOUN
ejpam-6967	266	78	0.21	0.21	NUM
ejpam-6967	266	79	<	<	X
ejpam-6967	266	80	1	1	NUM
ejpam-6967	266	81	)	)	PUNCT
ejpam-6967	266	82	figure	figure	NOUN
ejpam-6967	266	83	4	4	NUM
ejpam-6967	266	84	:	:	PUNCT
ejpam-6967	266	85	asymptotic	asymptotic	ADJ
ejpam-6967	266	86	stability	stability	NOUN
ejpam-6967	266	87	of	of	ADP
ejpam-6967	266	88	the	the	DET
ejpam-6967	266	89	free	free	ADJ
ejpam-6967	266	90	and	and	CCONJ
ejpam-6967	266	91	endemic	endemic	ADJ
ejpam-6967	266	92	states	state	NOUN
ejpam-6967	266	93	for	for	ADP
ejpam-6967	266	94	the	the	DET
ejpam-6967	266	95	susceptible	susceptible	ADJ
ejpam-6967	266	96	and	and	CCONJ
ejpam-6967	266	97	exposed	exposed	ADJ
ejpam-6967	266	98	compartments	compartment	NOUN
ejpam-6967	266	99	.	.	PUNCT
ejpam-6967	267	1	g.	g.	PROPN
ejpam-6967	267	2	ali	ali	PROPN
ejpam-6967	267	3	et	et	PROPN
ejpam-6967	267	4	al	al	PROPN
ejpam-6967	267	5	.	.	PUNCT
ejpam-6967	267	6	/	/	SYM
ejpam-6967	267	7	eur	eur	PROPN
ejpam-6967	267	8	.	.	PUNCT
ejpam-6967	268	1	j.	j.	PROPN
ejpam-6967	268	2	pure	pure	PROPN
ejpam-6967	268	3	appl	appl	PROPN
ejpam-6967	268	4	.	.	PROPN
ejpam-6967	268	5	math	math	PROPN
ejpam-6967	268	6	,	,	PUNCT
ejpam-6967	268	7	18	18	NUM
ejpam-6967	268	8	(	(	PUNCT
ejpam-6967	268	9	4	4	NUM
ejpam-6967	268	10	)	)	PUNCT
ejpam-6967	268	11	(	(	PUNCT
ejpam-6967	268	12	2025	2025	NUM
ejpam-6967	268	13	)	)	PUNCT
ejpam-6967	268	14	,	,	PUNCT
ejpam-6967	268	15	6967	6967	NUM
ejpam-6967	268	16	16	16	NUM
ejpam-6967	268	17	of	of	ADP
ejpam-6967	268	18	29	29	NUM
ejpam-6967	268	19	0	0	NUM
ejpam-6967	268	20	20	20	NUM
ejpam-6967	268	21	40	40	NUM
ejpam-6967	268	22	60	60	NUM
ejpam-6967	268	23	80	80	NUM
ejpam-6967	268	24	100	100	NUM
ejpam-6967	268	25	120	120	NUM
ejpam-6967	268	26	140	140	NUM
ejpam-6967	268	27	160	160	NUM
ejpam-6967	268	28	180	180	NUM
ejpam-6967	268	29	200	200	NUM
ejpam-6967	268	30	time	time	NOUN
ejpam-6967	268	31	(	(	PUNCT
ejpam-6967	268	32	days	day	NOUN
ejpam-6967	268	33	)	)	PUNCT
ejpam-6967	268	34	0	0	NUM
ejpam-6967	268	35	5	5	NUM
ejpam-6967	268	36	10	10	NUM
ejpam-6967	268	37	15	15	NUM
ejpam-6967	268	38	20	20	NUM
ejpam-6967	268	39	25	25	NUM
ejpam-6967	268	40	30	30	NUM
ejpam-6967	269	1	p	p	NOUN
ejpam-6967	269	2	o	o	X
ejpam-6967	269	3	p	p	X
ejpam-6967	269	4	u	u	X
ejpam-6967	269	5	la	la	X
ejpam-6967	269	6	ti	ti	X
ejpam-6967	269	7	o	o	NOUN
ejpam-6967	269	8	n	n	ADP
ejpam-6967	269	9	treated	treat	VERB
ejpam-6967	269	10	population	population	NOUN
ejpam-6967	269	11	stability	stability	NOUN
ejpam-6967	269	12	analysis	analysis	NOUN
ejpam-6967	269	13	baseline	baseline	NOUN
ejpam-6967	269	14	data	datum	NOUN
ejpam-6967	269	15	1	1	NUM
ejpam-6967	269	16	(	(	PUNCT
ejpam-6967	269	17	dfe	dfe	PROPN
ejpam-6967	269	18	)	)	PUNCT
ejpam-6967	269	19	baseline	baseline	PROPN
ejpam-6967	269	20	data	datum	NOUN
ejpam-6967	269	21	1	1	NUM
ejpam-6967	269	22	(	(	PUNCT
ejpam-6967	269	23	endemic	endemic	ADJ
ejpam-6967	269	24	)	)	PUNCT
ejpam-6967	269	25	baseline	baseline	PROPN
ejpam-6967	269	26	data	datum	NOUN
ejpam-6967	269	27	2	2	NUM
ejpam-6967	269	28	(	(	PUNCT
ejpam-6967	269	29	dfe	dfe	PROPN
ejpam-6967	269	30	)	)	PUNCT
ejpam-6967	269	31	baseline	baseline	PROPN
ejpam-6967	269	32	data	datum	NOUN
ejpam-6967	269	33	2	2	NUM
ejpam-6967	269	34	(	(	PUNCT
ejpam-6967	269	35	endemic	endemic	ADJ
ejpam-6967	269	36	)	)	PUNCT
ejpam-6967	269	37	baseline	baseline	PROPN
ejpam-6967	269	38	data	datum	NOUN
ejpam-6967	269	39	3	3	NUM
ejpam-6967	269	40	(	(	PUNCT
ejpam-6967	269	41	dfe	dfe	PROPN
ejpam-6967	269	42	)	)	PUNCT
ejpam-6967	269	43	baseline	baseline	PROPN
ejpam-6967	269	44	data	datum	NOUN
ejpam-6967	269	45	3	3	NUM
ejpam-6967	269	46	(	(	PUNCT
ejpam-6967	269	47	endemic	endemic	ADJ
ejpam-6967	269	48	)	)	PUNCT
ejpam-6967	269	49	baseline	baseline	PROPN
ejpam-6967	269	50	data	datum	NOUN
ejpam-6967	269	51	4	4	NUM
ejpam-6967	269	52	(	(	PUNCT
ejpam-6967	269	53	dfe	dfe	PROPN
ejpam-6967	269	54	)	)	PUNCT
ejpam-6967	269	55	baseline	baseline	PROPN
ejpam-6967	269	56	data	datum	NOUN
ejpam-6967	269	57	4	4	NUM
ejpam-6967	269	58	(	(	PUNCT
ejpam-6967	269	59	endemic	endemic	ADJ
ejpam-6967	269	60	)	)	PUNCT
ejpam-6967	269	61	endemic	endemic	ADJ
ejpam-6967	269	62	case	case	NOUN
ejpam-6967	269	63	(	(	PUNCT
ejpam-6967	269	64	r0	r0	NOUN
ejpam-6967	269	65	=	=	NOUN
ejpam-6967	269	66	13.82	13.82	NUM
ejpam-6967	269	67	>	>	SYM
ejpam-6967	269	68	1	1	NUM
ejpam-6967	269	69	):	):	PUNCT
ejpam-6967	269	70	dashed	dash	VERB
ejpam-6967	269	71	lines	line	NOUN
ejpam-6967	269	72	dfe	dfe	PROPN
ejpam-6967	269	73	case	case	NOUN
ejpam-6967	269	74	(	(	PUNCT
ejpam-6967	269	75	r0	r0	NOUN
ejpam-6967	269	76	=	=	NOUN
ejpam-6967	269	77	9.21	9.21	NUM
ejpam-6967	269	78	<	<	X
ejpam-6967	269	79	1	1	NUM
ejpam-6967	269	80	)	)	PUNCT
ejpam-6967	269	81	0	0	NUM
ejpam-6967	269	82	20	20	NUM
ejpam-6967	269	83	40	40	NUM
ejpam-6967	269	84	60	60	NUM
ejpam-6967	269	85	80	80	NUM
ejpam-6967	269	86	100	100	NUM
ejpam-6967	269	87	120	120	NUM
ejpam-6967	269	88	140	140	NUM
ejpam-6967	269	89	160	160	NUM
ejpam-6967	269	90	180	180	NUM
ejpam-6967	269	91	200	200	NUM
ejpam-6967	269	92	time	time	NOUN
ejpam-6967	269	93	(	(	PUNCT
ejpam-6967	269	94	days	day	NOUN
ejpam-6967	269	95	)	)	PUNCT
ejpam-6967	269	96	0	0	NUM
ejpam-6967	269	97	10	10	NUM
ejpam-6967	269	98	20	20	NUM
ejpam-6967	269	99	30	30	NUM
ejpam-6967	269	100	40	40	NUM
ejpam-6967	269	101	50	50	NUM
ejpam-6967	269	102	60	60	NUM
ejpam-6967	269	103	70	70	NUM
ejpam-6967	269	104	80	80	NUM
ejpam-6967	270	1	p	p	NOUN
ejpam-6967	270	2	o	o	X
ejpam-6967	270	3	p	p	X
ejpam-6967	270	4	u	u	X
ejpam-6967	270	5	la	la	X
ejpam-6967	270	6	ti	ti	NOUN
ejpam-6967	270	7	o	o	NOUN
ejpam-6967	270	8	n	n	PRON
ejpam-6967	270	9	infectious	infectious	ADJ
ejpam-6967	270	10	population	population	NOUN
ejpam-6967	270	11	stability	stability	NOUN
ejpam-6967	270	12	analysis	analysis	NOUN
ejpam-6967	270	13	baseline	baseline	NOUN
ejpam-6967	270	14	data	datum	NOUN
ejpam-6967	270	15	1	1	NUM
ejpam-6967	270	16	(	(	PUNCT
ejpam-6967	270	17	dfe	dfe	PROPN
ejpam-6967	270	18	)	)	PUNCT
ejpam-6967	270	19	baseline	baseline	PROPN
ejpam-6967	270	20	data	datum	NOUN
ejpam-6967	270	21	1	1	NUM
ejpam-6967	270	22	(	(	PUNCT
ejpam-6967	270	23	endemic	endemic	ADJ
ejpam-6967	270	24	)	)	PUNCT
ejpam-6967	270	25	baseline	baseline	PROPN
ejpam-6967	270	26	data	datum	NOUN
ejpam-6967	270	27	2	2	NUM
ejpam-6967	270	28	(	(	PUNCT
ejpam-6967	270	29	dfe	dfe	PROPN
ejpam-6967	270	30	)	)	PUNCT
ejpam-6967	270	31	baseline	baseline	PROPN
ejpam-6967	270	32	data	datum	NOUN
ejpam-6967	270	33	2	2	NUM
ejpam-6967	270	34	(	(	PUNCT
ejpam-6967	270	35	endemic	endemic	ADJ
ejpam-6967	270	36	)	)	PUNCT
ejpam-6967	270	37	baseline	baseline	PROPN
ejpam-6967	270	38	data	datum	NOUN
ejpam-6967	270	39	3	3	NUM
ejpam-6967	270	40	(	(	PUNCT
ejpam-6967	270	41	dfe	dfe	PROPN
ejpam-6967	270	42	)	)	PUNCT
ejpam-6967	270	43	baseline	baseline	PROPN
ejpam-6967	270	44	data	datum	NOUN
ejpam-6967	270	45	3	3	NUM
ejpam-6967	270	46	(	(	PUNCT
ejpam-6967	270	47	endemic	endemic	ADJ
ejpam-6967	270	48	)	)	PUNCT
ejpam-6967	270	49	baseline	baseline	PROPN
ejpam-6967	270	50	data	datum	NOUN
ejpam-6967	270	51	4	4	NUM
ejpam-6967	270	52	(	(	PUNCT
ejpam-6967	270	53	dfe	dfe	PROPN
ejpam-6967	270	54	)	)	PUNCT
ejpam-6967	270	55	baseline	baseline	PROPN
ejpam-6967	270	56	data	datum	NOUN
ejpam-6967	270	57	4	4	NUM
ejpam-6967	270	58	(	(	PUNCT
ejpam-6967	270	59	endemic	endemic	ADJ
ejpam-6967	270	60	)	)	PUNCT
ejpam-6967	270	61	dfe	dfe	PROPN
ejpam-6967	270	62	case	case	NOUN
ejpam-6967	270	63	(	(	PUNCT
ejpam-6967	270	64	r0	r0	NOUN
ejpam-6967	270	65	=	=	NOUN
ejpam-6967	270	66	0.21	0.21	NUM
ejpam-6967	270	67	<	<	X
ejpam-6967	270	68	1	1	NUM
ejpam-6967	270	69	)	)	PUNCT
ejpam-6967	270	70	endemic	endemic	ADJ
ejpam-6967	270	71	case	case	NOUN
ejpam-6967	270	72	(	(	PUNCT
ejpam-6967	270	73	r0	r0	NOUN
ejpam-6967	270	74	=	=	NOUN
ejpam-6967	270	75	13.82	13.82	NUM
ejpam-6967	270	76	>	>	SYM
ejpam-6967	270	77	1	1	NUM
ejpam-6967	270	78	)	)	PUNCT
ejpam-6967	270	79	0	0	NUM
ejpam-6967	270	80	20	20	NUM
ejpam-6967	270	81	40	40	NUM
ejpam-6967	270	82	60	60	NUM
ejpam-6967	270	83	80	80	NUM
ejpam-6967	270	84	100	100	NUM
ejpam-6967	270	85	120	120	NUM
ejpam-6967	270	86	140	140	NUM
ejpam-6967	270	87	160	160	NUM
ejpam-6967	270	88	180	180	NUM
ejpam-6967	270	89	200	200	NUM
ejpam-6967	270	90	time	time	NOUN
ejpam-6967	270	91	(	(	PUNCT
ejpam-6967	270	92	days	day	NOUN
ejpam-6967	270	93	)	)	PUNCT
ejpam-6967	270	94	0	0	NUM
ejpam-6967	271	1	50	50	NUM
ejpam-6967	271	2	100	100	NUM
ejpam-6967	271	3	150	150	NUM
ejpam-6967	271	4	200	200	NUM
ejpam-6967	271	5	250	250	NUM
ejpam-6967	271	6	c	c	NOUN
ejpam-6967	271	7	u	u	NOUN
ejpam-6967	271	8	m	m	NOUN
ejpam-6967	271	9	u	u	NOUN
ejpam-6967	271	10	la	la	X
ejpam-6967	271	11	ti	ti	X
ejpam-6967	271	12	v	v	ADP
ejpam-6967	271	13	e	e	X
ejpam-6967	271	14	d	d	X
ejpam-6967	271	15	e	e	X
ejpam-6967	271	16	a	a	DET
ejpam-6967	271	17	th	th	X
ejpam-6967	271	18	s	s	NOUN
ejpam-6967	271	19	fatalities	fatality	NOUN
ejpam-6967	271	20	attributable	attributable	ADJ
ejpam-6967	271	21	to	to	ADP
ejpam-6967	271	22	infection	infection	NOUN
ejpam-6967	271	23	(	(	PUNCT
ejpam-6967	271	24	d	d	NOUN
ejpam-6967	271	25	)	)	PUNCT
ejpam-6967	271	26	baseline	baseline	PROPN
ejpam-6967	271	27	data	datum	NOUN
ejpam-6967	271	28	1	1	NUM
ejpam-6967	271	29	(	(	PUNCT
ejpam-6967	271	30	dfe	dfe	PROPN
ejpam-6967	271	31	)	)	PUNCT
ejpam-6967	271	32	baseline	baseline	PROPN
ejpam-6967	271	33	data	datum	NOUN
ejpam-6967	271	34	1	1	NUM
ejpam-6967	271	35	(	(	PUNCT
ejpam-6967	271	36	endemic	endemic	ADJ
ejpam-6967	271	37	)	)	PUNCT
ejpam-6967	271	38	baseline	baseline	PROPN
ejpam-6967	271	39	data	datum	NOUN
ejpam-6967	271	40	2	2	NUM
ejpam-6967	271	41	(	(	PUNCT
ejpam-6967	271	42	dfe	dfe	PROPN
ejpam-6967	271	43	)	)	PUNCT
ejpam-6967	271	44	baseline	baseline	PROPN
ejpam-6967	271	45	data	datum	NOUN
ejpam-6967	271	46	2	2	NUM
ejpam-6967	271	47	(	(	PUNCT
ejpam-6967	271	48	endemic	endemic	ADJ
ejpam-6967	271	49	)	)	PUNCT
ejpam-6967	271	50	baseline	baseline	PROPN
ejpam-6967	271	51	data	datum	NOUN
ejpam-6967	271	52	3	3	NUM
ejpam-6967	271	53	(	(	PUNCT
ejpam-6967	271	54	dfe	dfe	PROPN
ejpam-6967	271	55	)	)	PUNCT
ejpam-6967	271	56	baseline	baseline	PROPN
ejpam-6967	271	57	data	datum	NOUN
ejpam-6967	271	58	3	3	NUM
ejpam-6967	271	59	(	(	PUNCT
ejpam-6967	271	60	endemic	endemic	ADJ
ejpam-6967	271	61	)	)	PUNCT
ejpam-6967	271	62	baseline	baseline	PROPN
ejpam-6967	271	63	data	datum	NOUN
ejpam-6967	271	64	4	4	NUM
ejpam-6967	271	65	(	(	PUNCT
ejpam-6967	271	66	dfe	dfe	PROPN
ejpam-6967	271	67	)	)	PUNCT
ejpam-6967	271	68	baseline	baseline	PROPN
ejpam-6967	271	69	data	datum	NOUN
ejpam-6967	271	70	4	4	NUM
ejpam-6967	271	71	(	(	PUNCT
ejpam-6967	271	72	endemic	endemic	ADJ
ejpam-6967	271	73	)	)	PUNCT
ejpam-6967	271	74	dfe	dfe	PROPN
ejpam-6967	271	75	case	case	NOUN
ejpam-6967	271	76	(	(	PUNCT
ejpam-6967	271	77	r0	r0	NOUN
ejpam-6967	271	78	=	=	NOUN
ejpam-6967	271	79	0.21	0.21	NUM
ejpam-6967	271	80	<	<	X
ejpam-6967	271	81	1	1	NUM
ejpam-6967	271	82	)	)	PUNCT
ejpam-6967	271	83	endemic	endemic	ADJ
ejpam-6967	271	84	case	case	NOUN
ejpam-6967	271	85	(	(	PUNCT
ejpam-6967	271	86	r0	r0	NOUN
ejpam-6967	271	87	=	=	NOUN
ejpam-6967	271	88	13.82	13.82	NUM
ejpam-6967	271	89	>	>	SYM
ejpam-6967	271	90	1	1	NUM
ejpam-6967	271	91	)	)	PUNCT
ejpam-6967	271	92	0	0	NUM
ejpam-6967	271	93	20	20	NUM
ejpam-6967	271	94	40	40	NUM
ejpam-6967	271	95	60	60	NUM
ejpam-6967	271	96	80	80	NUM
ejpam-6967	271	97	100	100	NUM
ejpam-6967	271	98	120	120	NUM
ejpam-6967	271	99	140	140	NUM
ejpam-6967	271	100	160	160	NUM
ejpam-6967	271	101	180	180	NUM
ejpam-6967	271	102	200	200	NUM
ejpam-6967	271	103	time	time	NOUN
ejpam-6967	271	104	(	(	PUNCT
ejpam-6967	271	105	days	day	NOUN
ejpam-6967	271	106	)	)	PUNCT
ejpam-6967	271	107	0	0	NUM
ejpam-6967	271	108	1000	1000	NUM
ejpam-6967	271	109	2000	2000	NUM
ejpam-6967	271	110	3000	3000	NUM
ejpam-6967	271	111	4000	4000	NUM
ejpam-6967	271	112	5000	5000	NUM
ejpam-6967	271	113	6000	6000	NUM
ejpam-6967	271	114	7000	7000	NUM
ejpam-6967	271	115	8000	8000	NUM
ejpam-6967	272	1	p	p	NOUN
ejpam-6967	272	2	o	o	X
ejpam-6967	272	3	p	p	X
ejpam-6967	272	4	u	u	X
ejpam-6967	272	5	la	la	X
ejpam-6967	272	6	ti	ti	X
ejpam-6967	272	7	o	o	NOUN
ejpam-6967	272	8	n	n	CCONJ
ejpam-6967	272	9	quarantined	quarantine	VERB
ejpam-6967	272	10	population	population	NOUN
ejpam-6967	272	11	stability	stability	NOUN
ejpam-6967	272	12	analysis	analysis	NOUN
ejpam-6967	272	13	baseline	baseline	NOUN
ejpam-6967	272	14	data	datum	NOUN
ejpam-6967	272	15	1	1	NUM
ejpam-6967	272	16	(	(	PUNCT
ejpam-6967	272	17	dfe	dfe	PROPN
ejpam-6967	272	18	)	)	PUNCT
ejpam-6967	272	19	baseline	baseline	PROPN
ejpam-6967	272	20	data	datum	NOUN
ejpam-6967	272	21	1	1	NUM
ejpam-6967	272	22	(	(	PUNCT
ejpam-6967	272	23	endemic	endemic	ADJ
ejpam-6967	272	24	)	)	PUNCT
ejpam-6967	272	25	baseline	baseline	PROPN
ejpam-6967	272	26	data	datum	NOUN
ejpam-6967	272	27	2	2	NUM
ejpam-6967	272	28	(	(	PUNCT
ejpam-6967	272	29	dfe	dfe	PROPN
ejpam-6967	272	30	)	)	PUNCT
ejpam-6967	272	31	baseline	baseline	PROPN
ejpam-6967	272	32	data	datum	NOUN
ejpam-6967	272	33	2	2	NUM
ejpam-6967	272	34	(	(	PUNCT
ejpam-6967	272	35	endemic	endemic	ADJ
ejpam-6967	272	36	)	)	PUNCT
ejpam-6967	272	37	baseline	baseline	PROPN
ejpam-6967	272	38	data	datum	NOUN
ejpam-6967	272	39	3	3	NUM
ejpam-6967	272	40	(	(	PUNCT
ejpam-6967	272	41	dfe	dfe	PROPN
ejpam-6967	272	42	)	)	PUNCT
ejpam-6967	272	43	baseline	baseline	PROPN
ejpam-6967	272	44	data	datum	NOUN
ejpam-6967	272	45	3	3	NUM
ejpam-6967	272	46	(	(	PUNCT
ejpam-6967	272	47	endemic	endemic	ADJ
ejpam-6967	272	48	)	)	PUNCT
ejpam-6967	272	49	baseline	baseline	PROPN
ejpam-6967	272	50	data	datum	NOUN
ejpam-6967	272	51	4	4	NUM
ejpam-6967	272	52	(	(	PUNCT
ejpam-6967	272	53	dfe	dfe	PROPN
ejpam-6967	272	54	)	)	PUNCT
ejpam-6967	272	55	baseline	baseline	PROPN
ejpam-6967	272	56	data	datum	NOUN
ejpam-6967	272	57	4	4	NUM
ejpam-6967	272	58	(	(	PUNCT
ejpam-6967	272	59	endemic	endemic	ADJ
ejpam-6967	272	60	)	)	PUNCT
ejpam-6967	272	61	endemic	endemic	ADJ
ejpam-6967	272	62	case	case	NOUN
ejpam-6967	272	63	(	(	PUNCT
ejpam-6967	272	64	r0	r0	NOUN
ejpam-6967	272	65	=	=	NOUN
ejpam-6967	272	66	13.82	13.82	NUM
ejpam-6967	272	67	>	>	SYM
ejpam-6967	272	68	1)dfe	1)dfe	NUM
ejpam-6967	272	69	case	case	NOUN
ejpam-6967	272	70	(	(	PUNCT
ejpam-6967	272	71	r0	r0	NOUN
ejpam-6967	272	72	=	=	NOUN
ejpam-6967	272	73	0.21	0.21	NUM
ejpam-6967	272	74	<	<	X
ejpam-6967	272	75	1	1	NUM
ejpam-6967	272	76	)	)	PUNCT
ejpam-6967	272	77	0	0	NUM
ejpam-6967	272	78	20	20	NUM
ejpam-6967	272	79	40	40	NUM
ejpam-6967	272	80	60	60	NUM
ejpam-6967	272	81	80	80	NUM
ejpam-6967	272	82	100	100	NUM
ejpam-6967	272	83	120	120	NUM
ejpam-6967	272	84	140	140	NUM
ejpam-6967	272	85	160	160	NUM
ejpam-6967	272	86	180	180	NUM
ejpam-6967	272	87	200	200	NUM
ejpam-6967	272	88	time	time	NOUN
ejpam-6967	272	89	(	(	PUNCT
ejpam-6967	272	90	days	day	NOUN
ejpam-6967	272	91	)	)	PUNCT
ejpam-6967	272	92	0	0	NUM
ejpam-6967	272	93	200	200	NUM
ejpam-6967	272	94	400	400	NUM
ejpam-6967	272	95	600	600	NUM
ejpam-6967	272	96	800	800	NUM
ejpam-6967	272	97	1000	1000	NUM
ejpam-6967	272	98	1200	1200	NUM
ejpam-6967	272	99	1400	1400	NUM
ejpam-6967	272	100	1600	1600	NUM
ejpam-6967	272	101	1800	1800	NUM
ejpam-6967	272	102	p	p	NOUN
ejpam-6967	273	1	o	o	X
ejpam-6967	273	2	p	p	X
ejpam-6967	273	3	u	u	X
ejpam-6967	273	4	la	la	X
ejpam-6967	273	5	ti	ti	X
ejpam-6967	273	6	o	o	NOUN
ejpam-6967	273	7	n	n	ADP
ejpam-6967	273	8	recovered	recover	VERB
ejpam-6967	273	9	population	population	NOUN
ejpam-6967	273	10	stability	stability	NOUN
ejpam-6967	273	11	analysis	analysis	NOUN
ejpam-6967	273	12	baseline	baseline	NOUN
ejpam-6967	273	13	data	datum	NOUN
ejpam-6967	273	14	1	1	NUM
ejpam-6967	273	15	(	(	PUNCT
ejpam-6967	273	16	dfe	dfe	PROPN
ejpam-6967	273	17	)	)	PUNCT
ejpam-6967	273	18	baseline	baseline	PROPN
ejpam-6967	273	19	data	datum	NOUN
ejpam-6967	273	20	1	1	NUM
ejpam-6967	273	21	(	(	PUNCT
ejpam-6967	273	22	endemic	endemic	ADJ
ejpam-6967	273	23	)	)	PUNCT
ejpam-6967	273	24	baseline	baseline	PROPN
ejpam-6967	273	25	data	datum	NOUN
ejpam-6967	273	26	2	2	NUM
ejpam-6967	273	27	(	(	PUNCT
ejpam-6967	273	28	dfe	dfe	PROPN
ejpam-6967	273	29	)	)	PUNCT
ejpam-6967	273	30	baseline	baseline	PROPN
ejpam-6967	273	31	data	datum	NOUN
ejpam-6967	273	32	2	2	NUM
ejpam-6967	273	33	(	(	PUNCT
ejpam-6967	273	34	endemic	endemic	ADJ
ejpam-6967	273	35	)	)	PUNCT
ejpam-6967	273	36	baseline	baseline	PROPN
ejpam-6967	273	37	data	datum	NOUN
ejpam-6967	273	38	3	3	NUM
ejpam-6967	273	39	(	(	PUNCT
ejpam-6967	273	40	dfe	dfe	PROPN
ejpam-6967	273	41	)	)	PUNCT
ejpam-6967	273	42	baseline	baseline	PROPN
ejpam-6967	273	43	data	datum	NOUN
ejpam-6967	273	44	3	3	NUM
ejpam-6967	273	45	(	(	PUNCT
ejpam-6967	273	46	endemic	endemic	ADJ
ejpam-6967	273	47	)	)	PUNCT
ejpam-6967	273	48	baseline	baseline	PROPN
ejpam-6967	273	49	data	datum	NOUN
ejpam-6967	273	50	4	4	NUM
ejpam-6967	273	51	(	(	PUNCT
ejpam-6967	273	52	dfe	dfe	PROPN
ejpam-6967	273	53	)	)	PUNCT
ejpam-6967	273	54	baseline	baseline	PROPN
ejpam-6967	273	55	data	datum	NOUN
ejpam-6967	273	56	4	4	NUM
ejpam-6967	273	57	(	(	PUNCT
ejpam-6967	273	58	endemic	endemic	ADJ
ejpam-6967	273	59	)	)	PUNCT
ejpam-6967	273	60	dfe	dfe	PROPN
ejpam-6967	273	61	case	case	NOUN
ejpam-6967	273	62	(	(	PUNCT
ejpam-6967	273	63	r0	r0	NOUN
ejpam-6967	273	64	=	=	NOUN
ejpam-6967	273	65	9.21	9.21	NUM
ejpam-6967	273	66	<	<	X
ejpam-6967	273	67	1	1	NUM
ejpam-6967	273	68	)	)	PUNCT
ejpam-6967	273	69	endemic	endemic	ADJ
ejpam-6967	273	70	case	case	NOUN
ejpam-6967	273	71	(	(	PUNCT
ejpam-6967	273	72	r0	r0	NOUN
ejpam-6967	273	73	=	=	NOUN
ejpam-6967	273	74	13.82	13.82	NUM
ejpam-6967	273	75	>	>	SYM
ejpam-6967	273	76	1	1	NUM
ejpam-6967	273	77	)	)	PUNCT
ejpam-6967	273	78	figure	figure	NOUN
ejpam-6967	273	79	5	5	NUM
ejpam-6967	273	80	:	:	PUNCT
ejpam-6967	273	81	asymptotic	asymptotic	ADJ
ejpam-6967	273	82	stability	stability	NOUN
ejpam-6967	273	83	of	of	ADP
ejpam-6967	273	84	the	the	DET
ejpam-6967	273	85	free	free	ADJ
ejpam-6967	273	86	and	and	CCONJ
ejpam-6967	273	87	endemic	endemic	ADJ
ejpam-6967	273	88	states	state	NOUN
ejpam-6967	273	89	for	for	ADP
ejpam-6967	273	90	the	the	DET
ejpam-6967	273	91	remaining	remain	VERB
ejpam-6967	273	92	classes	class	NOUN
ejpam-6967	273	93	.	.	PUNCT
ejpam-6967	274	1	3	3	X
ejpam-6967	274	2	.	.	X
ejpam-6967	274	3	optimal	optimal	ADJ
ejpam-6967	274	4	control	control	NOUN
ejpam-6967	274	5	formulation	formulation	NOUN
ejpam-6967	274	6	the	the	DET
ejpam-6967	274	7	mathematical	mathematical	ADJ
ejpam-6967	274	8	analysis	analysis	NOUN
ejpam-6967	274	9	conducted	conduct	VERB
ejpam-6967	274	10	thus	thus	ADV
ejpam-6967	274	11	far	far	ADV
ejpam-6967	274	12	provides	provide	VERB
ejpam-6967	274	13	insights	insight	NOUN
ejpam-6967	274	14	into	into	ADP
ejpam-6967	274	15	the	the	DET
ejpam-6967	274	16	system	system	NOUN
ejpam-6967	274	17	’s	’s	PART
ejpam-6967	274	18	inherent	inherent	ADJ
ejpam-6967	274	19	dynamics	dynamic	NOUN
ejpam-6967	274	20	.	.	PUNCT
ejpam-6967	275	1	to	to	PART
ejpam-6967	275	2	transition	transition	VERB
ejpam-6967	275	3	from	from	ADP
ejpam-6967	275	4	analysis	analysis	NOUN
ejpam-6967	275	5	to	to	ADP
ejpam-6967	275	6	actionable	actionable	ADJ
ejpam-6967	275	7	cybersecurity	cybersecurity	NOUN
ejpam-6967	275	8	policy	policy	NOUN
ejpam-6967	275	9	,	,	PUNCT
ejpam-6967	275	10	we	we	PRON
ejpam-6967	275	11	now	now	ADV
ejpam-6967	275	12	introduce	introduce	VERB
ejpam-6967	275	13	an	an	DET
ejpam-6967	275	14	optimal	optimal	ADJ
ejpam-6967	275	15	control	control	NOUN
ejpam-6967	275	16	framework	framework	NOUN
ejpam-6967	275	17	.	.	PUNCT
ejpam-6967	276	1	this	this	PRON
ejpam-6967	276	2	allows	allow	VERB
ejpam-6967	276	3	us	we	PRON
ejpam-6967	276	4	to	to	PART
ejpam-6967	276	5	determine	determine	VERB
ejpam-6967	276	6	the	the	DET
ejpam-6967	276	7	most	most	ADV
ejpam-6967	276	8	effective	effective	ADJ
ejpam-6967	276	9	and	and	CCONJ
ejpam-6967	276	10	cost	cost	NOUN
ejpam-6967	276	11	-	-	PUNCT
ejpam-6967	276	12	efficient	efficient	ADJ
ejpam-6967	276	13	strategies	strategy	NOUN
ejpam-6967	276	14	to	to	PART
ejpam-6967	276	15	contain	contain	VERB
ejpam-6967	276	16	a	a	DET
ejpam-6967	276	17	virus	virus	NOUN
ejpam-6967	276	18	outbreak	outbreak	NOUN
ejpam-6967	276	19	by	by	ADP
ejpam-6967	276	20	dynamically	dynamically	ADV
ejpam-6967	276	21	allocating	allocate	VERB
ejpam-6967	276	22	limited	limited	ADJ
ejpam-6967	276	23	g.	g.	PROPN
ejpam-6967	276	24	ali	ali	PROPN
ejpam-6967	276	25	et	et	PROPN
ejpam-6967	276	26	al	al	PROPN
ejpam-6967	276	27	.	.	PUNCT
ejpam-6967	276	28	/	/	SYM
ejpam-6967	276	29	eur	eur	PROPN
ejpam-6967	276	30	.	.	PUNCT
ejpam-6967	277	1	j.	j.	PROPN
ejpam-6967	277	2	pure	pure	PROPN
ejpam-6967	277	3	appl	appl	PROPN
ejpam-6967	277	4	.	.	PROPN
ejpam-6967	277	5	math	math	PROPN
ejpam-6967	277	6	,	,	PUNCT
ejpam-6967	277	7	18	18	NUM
ejpam-6967	277	8	(	(	PUNCT
ejpam-6967	277	9	4	4	NUM
ejpam-6967	277	10	)	)	PUNCT
ejpam-6967	277	11	(	(	PUNCT
ejpam-6967	277	12	2025	2025	NUM
ejpam-6967	277	13	)	)	PUNCT
ejpam-6967	277	14	,	,	PUNCT
ejpam-6967	277	15	6967	6967	NUM
ejpam-6967	277	16	17	17	NUM
ejpam-6967	277	17	of	of	ADP
ejpam-6967	277	18	29	29	NUM
ejpam-6967	277	19	resources	resource	NOUN
ejpam-6967	277	20	.	.	PUNCT
ejpam-6967	278	1	3.1	3.1	NUM
ejpam-6967	278	2	.	.	PUNCT
ejpam-6967	278	3	model	model	NOUN
ejpam-6967	278	4	with	with	ADP
ejpam-6967	278	5	time	time	NOUN
ejpam-6967	278	6	-	-	PUNCT
ejpam-6967	278	7	dependent	dependent	ADJ
ejpam-6967	278	8	controls	control	NOUN
ejpam-6967	278	9	we	we	PRON
ejpam-6967	278	10	introduce	introduce	VERB
ejpam-6967	278	11	three	three	NUM
ejpam-6967	278	12	time	time	NOUN
ejpam-6967	278	13	-	-	PUNCT
ejpam-6967	278	14	dependent	dependent	ADJ
ejpam-6967	278	15	control	control	NOUN
ejpam-6967	278	16	variables	variable	NOUN
ejpam-6967	278	17	into	into	ADP
ejpam-6967	278	18	the	the	DET
ejpam-6967	278	19	slaqrd	slaqrd	NOUN
ejpam-6967	278	20	model	model	NOUN
ejpam-6967	278	21	.	.	PUNCT
ejpam-6967	279	1	the	the	DET
ejpam-6967	279	2	control	control	NOUN
ejpam-6967	279	3	variable	variable	NOUN
ejpam-6967	279	4	u1(t	u1(t	ADP
ejpam-6967	279	5	)	)	PUNCT
ejpam-6967	279	6	is	be	AUX
ejpam-6967	279	7	the	the	DET
ejpam-6967	279	8	effort	effort	NOUN
ejpam-6967	279	9	invested	invest	VERB
ejpam-6967	279	10	in	in	ADP
ejpam-6967	279	11	preventing	prevent	VERB
ejpam-6967	279	12	infection	infection	NOUN
ejpam-6967	279	13	via	via	ADP
ejpam-6967	279	14	removable	removable	ADJ
ejpam-6967	279	15	media	medium	NOUN
ejpam-6967	279	16	.	.	PUNCT
ejpam-6967	280	1	this	this	PRON
ejpam-6967	280	2	encompasses	encompass	VERB
ejpam-6967	280	3	strategies	strategy	NOUN
ejpam-6967	280	4	like	like	ADP
ejpam-6967	280	5	disabling	disable	VERB
ejpam-6967	280	6	auto	auto	NOUN
ejpam-6967	280	7	-	-	PUNCT
ejpam-6967	280	8	run	run	NOUN
ejpam-6967	280	9	features	feature	NOUN
ejpam-6967	280	10	,	,	PUNCT
ejpam-6967	280	11	enforcing	enforce	VERB
ejpam-6967	280	12	device	device	NOUN
ejpam-6967	280	13	encryption	encryption	NOUN
ejpam-6967	280	14	,	,	PUNCT
ejpam-6967	280	15	and	and	CCONJ
ejpam-6967	280	16	user	user	NOUN
ejpam-6967	280	17	awareness	awareness	NOUN
ejpam-6967	280	18	training	training	NOUN
ejpam-6967	280	19	.	.	PUNCT
ejpam-6967	281	1	we	we	PRON
ejpam-6967	281	2	assume	assume	VERB
ejpam-6967	281	3	this	this	DET
ejpam-6967	281	4	control	control	NOUN
ejpam-6967	281	5	reduces	reduce	VERB
ejpam-6967	281	6	the	the	DET
ejpam-6967	281	7	transmission	transmission	NOUN
ejpam-6967	281	8	rate	rate	NOUN
ejpam-6967	281	9	γ	γ	X
ejpam-6967	281	10	by	by	ADP
ejpam-6967	281	11	a	a	DET
ejpam-6967	281	12	factor	factor	NOUN
ejpam-6967	281	13	of	of	ADP
ejpam-6967	281	14	(	(	PUNCT
ejpam-6967	281	15	1	1	NUM
ejpam-6967	281	16	−	−	NOUN
ejpam-6967	281	17	u1(t	u1(t	NOUN
ejpam-6967	281	18	)	)	PUNCT
ejpam-6967	281	19	)	)	PUNCT
ejpam-6967	281	20	,	,	PUNCT
ejpam-6967	281	21	where	where	SCONJ
ejpam-6967	281	22	0	0	NUM
ejpam-6967	281	23	≤	≤	NUM
ejpam-6967	281	24	u1(t	u1(t	ADP
ejpam-6967	281	25	)	)	PUNCT
ejpam-6967	281	26	≤	≤	NUM
ejpam-6967	281	27	umax	umax	VERB
ejpam-6967	281	28	1	1	NUM
ejpam-6967	281	29	≤	≤	NUM
ejpam-6967	281	30	1	1	NUM
ejpam-6967	281	31	,	,	PUNCT
ejpam-6967	281	32	u2(t	u2(t	NOUN
ejpam-6967	281	33	)	)	PUNCT
ejpam-6967	281	34	is	be	AUX
ejpam-6967	281	35	the	the	DET
ejpam-6967	281	36	effort	effort	NOUN
ejpam-6967	281	37	invested	invest	VERB
ejpam-6967	281	38	in	in	ADP
ejpam-6967	281	39	enhancing	enhance	VERB
ejpam-6967	281	40	quarantine	quarantine	NOUN
ejpam-6967	281	41	measures	measure	NOUN
ejpam-6967	281	42	for	for	ADP
ejpam-6967	281	43	actively	actively	ADV
ejpam-6967	281	44	infected	infect	VERB
ejpam-6967	281	45	computers	computer	NOUN
ejpam-6967	281	46	.	.	PUNCT
ejpam-6967	282	1	this	this	PRON
ejpam-6967	282	2	represents	represent	VERB
ejpam-6967	282	3	improving	improve	VERB
ejpam-6967	282	4	intrusion	intrusion	NOUN
ejpam-6967	282	5	detection	detection	NOUN
ejpam-6967	282	6	systems	system	NOUN
ejpam-6967	282	7	(	(	PUNCT
ejpam-6967	282	8	ids	id	NOUN
ejpam-6967	282	9	)	)	PUNCT
ejpam-6967	282	10	and	and	CCONJ
ejpam-6967	282	11	automated	automate	VERB
ejpam-6967	282	12	isolation	isolation	NOUN
ejpam-6967	282	13	protocols	protocol	NOUN
ejpam-6967	282	14	.	.	PUNCT
ejpam-6967	283	1	we	we	PRON
ejpam-6967	283	2	assume	assume	VERB
ejpam-6967	283	3	this	this	DET
ejpam-6967	283	4	control	control	NOUN
ejpam-6967	283	5	increases	increase	VERB
ejpam-6967	283	6	the	the	DET
ejpam-6967	283	7	quarantine	quarantine	NOUN
ejpam-6967	283	8	rate	rate	NOUN
ejpam-6967	283	9	θ	θ	NOUN
ejpam-6967	283	10	to	to	ADP
ejpam-6967	283	11	θ	θ	PROPN
ejpam-6967	283	12	+	+	CCONJ
ejpam-6967	283	13	u2(t	u2(t	NOUN
ejpam-6967	283	14	)	)	PUNCT
ejpam-6967	283	15	,	,	PUNCT
ejpam-6967	283	16	where	where	SCONJ
ejpam-6967	283	17	0	0	NUM
ejpam-6967	283	18	≤	≤	NUM
ejpam-6967	283	19	u2(t	u2(t	NOUN
ejpam-6967	283	20	)	)	PUNCT
ejpam-6967	283	21	≤	≤	NOUN
ejpam-6967	283	22	umax	umax	ADJ
ejpam-6967	283	23	2	2	NUM
ejpam-6967	283	24	.	.	PUNCT
ejpam-6967	284	1	and	and	CCONJ
ejpam-6967	284	2	last	last	ADJ
ejpam-6967	284	3	u3(t	u3(t	NUM
ejpam-6967	284	4	)	)	PUNCT
ejpam-6967	284	5	is	be	AUX
ejpam-6967	284	6	the	the	DET
ejpam-6967	284	7	effort	effort	NOUN
ejpam-6967	284	8	invested	invest	VERB
ejpam-6967	284	9	in	in	ADP
ejpam-6967	284	10	enhancing	enhance	VERB
ejpam-6967	284	11	recovery	recovery	NOUN
ejpam-6967	284	12	efforts	effort	NOUN
ejpam-6967	284	13	for	for	ADP
ejpam-6967	284	14	both	both	CCONJ
ejpam-6967	284	15	active	active	ADJ
ejpam-6967	284	16	and	and	CCONJ
ejpam-6967	284	17	quarantined	quarantined	ADJ
ejpam-6967	284	18	machines	machine	NOUN
ejpam-6967	284	19	.	.	PUNCT
ejpam-6967	285	1	this	this	PRON
ejpam-6967	285	2	includes	include	VERB
ejpam-6967	285	3	deploying	deploy	VERB
ejpam-6967	285	4	more	more	ADV
ejpam-6967	285	5	effective	effective	ADJ
ejpam-6967	285	6	antivirus	antivirus	NOUN
ejpam-6967	285	7	patches	patch	NOUN
ejpam-6967	285	8	and	and	CCONJ
ejpam-6967	285	9	streamlining	streamline	VERB
ejpam-6967	285	10	cleanup	cleanup	NOUN
ejpam-6967	285	11	processes	process	NOUN
ejpam-6967	285	12	.	.	PUNCT
ejpam-6967	286	1	we	we	PRON
ejpam-6967	286	2	assume	assume	VERB
ejpam-6967	286	3	this	this	DET
ejpam-6967	286	4	control	control	NOUN
ejpam-6967	286	5	increases	increase	VERB
ejpam-6967	286	6	the	the	DET
ejpam-6967	286	7	recovery	recovery	NOUN
ejpam-6967	286	8	rates	rate	NOUN
ejpam-6967	286	9	δ	δ	PROPN
ejpam-6967	286	10	and	and	CCONJ
ejpam-6967	286	11	ξ	ξ	X
ejpam-6967	286	12	to	to	ADP
ejpam-6967	286	13	δ	δ	PROPN
ejpam-6967	286	14	+	+	CCONJ
ejpam-6967	286	15	u3(t	u3(t	PROPN
ejpam-6967	286	16	)	)	PUNCT
ejpam-6967	286	17	and	and	CCONJ
ejpam-6967	286	18	ξ	ξ	X
ejpam-6967	286	19	+	+	SYM
ejpam-6967	286	20	u3(t	u3(t	ADJ
ejpam-6967	286	21	)	)	PUNCT
ejpam-6967	286	22	respectively	respectively	ADV
ejpam-6967	286	23	,	,	PUNCT
ejpam-6967	286	24	where	where	SCONJ
ejpam-6967	286	25	0	0	NUM
ejpam-6967	286	26	≤	≤	NOUN
ejpam-6967	286	27	u3(t	u3(t	NUM
ejpam-6967	286	28	)	)	PUNCT
ejpam-6967	286	29	≤	≤	NOUN
ejpam-6967	286	30	umax	umax	VERB
ejpam-6967	286	31	3	3	NUM
ejpam-6967	286	32	.	.	PUNCT
ejpam-6967	287	1	these	these	DET
ejpam-6967	287	2	controls	control	NOUN
ejpam-6967	287	3	correspond	correspond	VERB
ejpam-6967	287	4	to	to	ADP
ejpam-6967	287	5	tangible	tangible	ADJ
ejpam-6967	287	6	cybersecurity	cybersecurity	NOUN
ejpam-6967	287	7	measures	measure	NOUN
ejpam-6967	287	8	.	.	PUNCT
ejpam-6967	288	1	the	the	DET
ejpam-6967	288	2	media	media	NOUN
ejpam-6967	288	3	protection	protection	NOUN
ejpam-6967	288	4	control	control	PROPN
ejpam-6967	288	5	u1(t	u1(t	ADP
ejpam-6967	288	6	)	)	PUNCT
ejpam-6967	288	7	reflects	reflect	VERB
ejpam-6967	288	8	policies	policy	NOUN
ejpam-6967	288	9	such	such	ADJ
ejpam-6967	288	10	as	as	ADP
ejpam-6967	288	11	enforcing	enforce	VERB
ejpam-6967	288	12	usb	usb	NOUN
ejpam-6967	288	13	encryption	encryption	NOUN
ejpam-6967	288	14	(	(	PUNCT
ejpam-6967	288	15	e.g.	e.g.	ADV
ejpam-6967	288	16	,	,	PUNCT
ejpam-6967	288	17	using	use	VERB
ejpam-6967	288	18	bitlocker	bitlocker	PROPN
ejpam-6967	288	19	)	)	PUNCT
ejpam-6967	288	20	,	,	PUNCT
ejpam-6967	288	21	implementing	implement	VERB
ejpam-6967	288	22	device	device	NOUN
ejpam-6967	288	23	allow	allow	VERB
ejpam-6967	288	24	-	-	PUNCT
ejpam-6967	288	25	listing	list	VERB
ejpam-6967	288	26	software	software	NOUN
ejpam-6967	288	27	,	,	PUNCT
ejpam-6967	288	28	and	and	CCONJ
ejpam-6967	288	29	conducting	conduct	VERB
ejpam-6967	288	30	mandatory	mandatory	ADJ
ejpam-6967	288	31	user	user	NOUN
ejpam-6967	288	32	awareness	awareness	NOUN
ejpam-6967	288	33	training	training	NOUN
ejpam-6967	288	34	to	to	PART
ejpam-6967	288	35	prevent	prevent	VERB
ejpam-6967	288	36	unauthorized	unauthorized	ADJ
ejpam-6967	288	37	removable	removable	ADJ
ejpam-6967	288	38	media	medium	NOUN
ejpam-6967	288	39	use	use	NOUN
ejpam-6967	288	40	.	.	PUNCT
ejpam-6967	289	1	the	the	DET
ejpam-6967	289	2	quarantine	quarantine	NOUN
ejpam-6967	289	3	control	control	PROPN
ejpam-6967	289	4	u2(t	u2(t	PROPN
ejpam-6967	289	5	)	)	PUNCT
ejpam-6967	289	6	represents	represent	VERB
ejpam-6967	289	7	the	the	DET
ejpam-6967	289	8	deployment	deployment	NOUN
ejpam-6967	289	9	of	of	ADP
ejpam-6967	289	10	advanced	advanced	ADJ
ejpam-6967	289	11	intrusion	intrusion	NOUN
ejpam-6967	289	12	detection	detection	NOUN
ejpam-6967	289	13	systems	system	NOUN
ejpam-6967	289	14	(	(	PUNCT
ejpam-6967	289	15	ids	id	NOUN
ejpam-6967	289	16	)	)	PUNCT
ejpam-6967	289	17	capable	capable	ADJ
ejpam-6967	289	18	of	of	ADP
ejpam-6967	289	19	automated	automate	VERB
ejpam-6967	289	20	threat	threat	NOUN
ejpam-6967	289	21	isolation	isolation	NOUN
ejpam-6967	289	22	,	,	PUNCT
ejpam-6967	289	23	such	such	ADJ
ejpam-6967	289	24	as	as	ADP
ejpam-6967	289	25	network	network	NOUN
ejpam-6967	289	26	segmentation	segmentation	NOUN
ejpam-6967	289	27	or	or	CCONJ
ejpam-6967	289	28	endpoint	endpoint	VERB
ejpam-6967	289	29	isolation	isolation	NOUN
ejpam-6967	289	30	protocols	protocol	NOUN
ejpam-6967	289	31	.	.	PUNCT
ejpam-6967	290	1	the	the	DET
ejpam-6967	290	2	recovery	recovery	NOUN
ejpam-6967	290	3	control	control	NOUN
ejpam-6967	290	4	u3(t	u3(t	PRON
ejpam-6967	290	5	)	)	PUNCT
ejpam-6967	290	6	aligns	align	VERB
ejpam-6967	290	7	with	with	ADP
ejpam-6967	290	8	the	the	DET
ejpam-6967	290	9	rapid	rapid	ADJ
ejpam-6967	290	10	deployment	deployment	NOUN
ejpam-6967	290	11	of	of	ADP
ejpam-6967	290	12	antivirus	antivirus	NOUN
ejpam-6967	290	13	patches	patch	NOUN
ejpam-6967	290	14	,	,	PUNCT
ejpam-6967	290	15	the	the	DET
ejpam-6967	290	16	use	use	NOUN
ejpam-6967	290	17	of	of	ADP
ejpam-6967	290	18	automated	automate	VERB
ejpam-6967	290	19	remediation	remediation	NOUN
ejpam-6967	290	20	tools	tool	NOUN
ejpam-6967	290	21	,	,	PUNCT
ejpam-6967	290	22	and	and	CCONJ
ejpam-6967	290	23	dedicated	dedicated	ADJ
ejpam-6967	290	24	incident	incident	NOUN
ejpam-6967	290	25	response	response	NOUN
ejpam-6967	290	26	teams	team	NOUN
ejpam-6967	290	27	for	for	ADP
ejpam-6967	290	28	system	system	NOUN
ejpam-6967	290	29	cleaning	cleaning	NOUN
ejpam-6967	290	30	and	and	CCONJ
ejpam-6967	290	31	restoration	restoration	NOUN
ejpam-6967	290	32	.	.	PUNCT
ejpam-6967	291	1	by	by	ADP
ejpam-6967	291	2	framing	frame	VERB
ejpam-6967	291	3	the	the	DET
ejpam-6967	291	4	controls	control	NOUN
ejpam-6967	291	5	this	this	DET
ejpam-6967	291	6	way	way	NOUN
ejpam-6967	291	7	,	,	PUNCT
ejpam-6967	291	8	the	the	DET
ejpam-6967	291	9	model	model	NOUN
ejpam-6967	291	10	offers	offer	VERB
ejpam-6967	291	11	a	a	DET
ejpam-6967	291	12	direct	direct	ADJ
ejpam-6967	291	13	link	link	NOUN
ejpam-6967	291	14	between	between	ADP
ejpam-6967	291	15	theoretical	theoretical	ADJ
ejpam-6967	291	16	optimization	optimization	NOUN
ejpam-6967	291	17	and	and	CCONJ
ejpam-6967	291	18	practical	practical	ADJ
ejpam-6967	291	19	cybersecurity	cybersecurity	NOUN
ejpam-6967	291	20	resource	resource	NOUN
ejpam-6967	291	21	allocation	allocation	NOUN
ejpam-6967	291	22	.	.	PUNCT
ejpam-6967	292	1	applying	apply	VERB
ejpam-6967	292	2	these	these	DET
ejpam-6967	292	3	controls	control	NOUN
ejpam-6967	292	4	,	,	PUNCT
ejpam-6967	292	5	the	the	DET
ejpam-6967	292	6	controlled	control	VERB
ejpam-6967	292	7	system	system	NOUN
ejpam-6967	292	8	of	of	ADP
ejpam-6967	292	9	differential	differential	ADJ
ejpam-6967	292	10	equations	equation	NOUN
ejpam-6967	292	11	becomes	become	VERB
ejpam-6967	292	12	:	:	PUNCT
ejpam-6967	292	13	ds	ds	ADJ
ejpam-6967	292	14	dt	dt	NOUN
ejpam-6967	292	15	=	=	SYM
ejpam-6967	292	16	λ−	λ−	PROPN
ejpam-6967	292	17	β1sa−	β1sa−	SYM
ejpam-6967	292	18	β2sl−	β2sl−	PROPN
ejpam-6967	292	19	(	(	PUNCT
ejpam-6967	292	20	1−	1−	NUM
ejpam-6967	292	21	u1(t))γs	u1(t))γs	NOUN
ejpam-6967	292	22	−	−	PROPN
ejpam-6967	292	23	µs	µs	NOUN
ejpam-6967	292	24	,	,	PUNCT
ejpam-6967	292	25	dl	dl	PROPN
ejpam-6967	292	26	dt	dt	PROPN
ejpam-6967	293	1	=	=	PUNCT
ejpam-6967	294	1	β1sa+	β1sa+	PROPN
ejpam-6967	294	2	β2sl+	β2sl+	PROPN
ejpam-6967	294	3	(	(	PUNCT
ejpam-6967	294	4	1−	1−	NUM
ejpam-6967	294	5	u1(t))γs	u1(t))γs	NOUN
ejpam-6967	294	6	−	−	PROPN
ejpam-6967	294	7	σl−	σl−	PROPN
ejpam-6967	294	8	µl−	µl−	SYM
ejpam-6967	294	9	αl	αl	ADP
ejpam-6967	294	10	,	,	PUNCT
ejpam-6967	294	11	da	da	NOUN
ejpam-6967	294	12	dt	dt	NOUN
ejpam-6967	294	13	=	=	SYM
ejpam-6967	294	14	σl−	σl−	PROPN
ejpam-6967	294	15	(	(	PUNCT
ejpam-6967	294	16	θ	θ	PROPN
ejpam-6967	294	17	+	+	CCONJ
ejpam-6967	294	18	u2(t))a−	u2(t))a−	PROPN
ejpam-6967	294	19	(	(	PUNCT
ejpam-6967	294	20	δ	δ	PROPN
ejpam-6967	294	21	+	+	CCONJ
ejpam-6967	294	22	u3(t))a−	u3(t))a−	ADJ
ejpam-6967	294	23	µa−	µa−	PROPN
ejpam-6967	294	24	ηa	ηa	PROPN
ejpam-6967	294	25	,	,	PUNCT
ejpam-6967	294	26	dq	dq	NOUN
ejpam-6967	294	27	dt	dt	NOUN
ejpam-6967	294	28	=	=	PUNCT
ejpam-6967	294	29	(	(	PUNCT
ejpam-6967	294	30	θ	θ	PROPN
ejpam-6967	294	31	+	+	CCONJ
ejpam-6967	294	32	u2(t))a−	u2(t))a−	PROPN
ejpam-6967	294	33	(	(	PUNCT
ejpam-6967	294	34	ξ	ξ	PROPN
ejpam-6967	294	35	+	+	NUM
ejpam-6967	294	36	u3(t))q−	u3(t))q−	PROPN
ejpam-6967	294	37	µq	µq	PROPN
ejpam-6967	294	38	,	,	PUNCT
ejpam-6967	294	39	dr	dr	PROPN
ejpam-6967	294	40	dt	dt	PROPN
ejpam-6967	294	41	=	=	PUNCT
ejpam-6967	294	42	(	(	PUNCT
ejpam-6967	294	43	δ	δ	NOUN
ejpam-6967	294	44	+	+	X
ejpam-6967	294	45	u3(t))a+	u3(t))a+	NOUN
ejpam-6967	294	46	(	(	PUNCT
ejpam-6967	294	47	ξ	ξ	X
ejpam-6967	294	48	+	+	NUM
ejpam-6967	294	49	u3(t))q−	u3(t))q−	ADJ
ejpam-6967	294	50	µr	µr	ADP
ejpam-6967	294	51	,	,	PUNCT
ejpam-6967	294	52	dd	dd	NOUN
ejpam-6967	294	53	dt	dt	NOUN
ejpam-6967	294	54	=	=	SYM
ejpam-6967	294	55	αl+	αl+	PROPN
ejpam-6967	294	56	ηa−	ηa−	PROPN
ejpam-6967	294	57	µd	µd	ADP
ejpam-6967	294	58	.	.	PUNCT
ejpam-6967	295	1	the	the	DET
ejpam-6967	295	2	objective	objective	NOUN
ejpam-6967	295	3	is	be	AUX
ejpam-6967	295	4	to	to	PART
ejpam-6967	295	5	minimize	minimize	VERB
ejpam-6967	295	6	the	the	DET
ejpam-6967	295	7	total	total	ADJ
ejpam-6967	295	8	cost	cost	NOUN
ejpam-6967	295	9	over	over	ADP
ejpam-6967	295	10	a	a	DET
ejpam-6967	295	11	fixed	fix	VERB
ejpam-6967	295	12	time	time	NOUN
ejpam-6967	295	13	period	period	NOUN
ejpam-6967	295	14	[	[	X
ejpam-6967	295	15	0	0	NUM
ejpam-6967	295	16	,	,	PUNCT
ejpam-6967	295	17	t	t	X
ejpam-6967	295	18	]	]	PUNCT
ejpam-6967	295	19	,	,	PUNCT
ejpam-6967	295	20	which	which	PRON
ejpam-6967	295	21	includes	include	VERB
ejpam-6967	295	22	the	the	DET
ejpam-6967	295	23	cost	cost	NOUN
ejpam-6967	295	24	of	of	ADP
ejpam-6967	295	25	the	the	DET
ejpam-6967	295	26	infected	infected	ADJ
ejpam-6967	295	27	populations	population	NOUN
ejpam-6967	295	28	(	(	PUNCT
ejpam-6967	295	29	damage	damage	NOUN
ejpam-6967	295	30	to	to	ADP
ejpam-6967	295	31	the	the	DET
ejpam-6967	295	32	network	network	NOUN
ejpam-6967	295	33	)	)	PUNCT
ejpam-6967	295	34	and	and	CCONJ
ejpam-6967	295	35	the	the	DET
ejpam-6967	295	36	cost	cost	NOUN
ejpam-6967	295	37	of	of	ADP
ejpam-6967	295	38	implementing	implement	VERB
ejpam-6967	295	39	g.	g.	PROPN
ejpam-6967	295	40	ali	ali	PROPN
ejpam-6967	296	1	et	et	PROPN
ejpam-6967	296	2	al	al	PROPN
ejpam-6967	296	3	.	.	PUNCT
ejpam-6967	296	4	/	/	SYM
ejpam-6967	296	5	eur	eur	PROPN
ejpam-6967	296	6	.	.	PUNCT
ejpam-6967	297	1	j.	j.	PROPN
ejpam-6967	297	2	pure	pure	PROPN
ejpam-6967	297	3	appl	appl	PROPN
ejpam-6967	297	4	.	.	PROPN
ejpam-6967	297	5	math	math	PROPN
ejpam-6967	297	6	,	,	PUNCT
ejpam-6967	297	7	18	18	NUM
ejpam-6967	297	8	(	(	PUNCT
ejpam-6967	297	9	4	4	NUM
ejpam-6967	297	10	)	)	PUNCT
ejpam-6967	297	11	(	(	PUNCT
ejpam-6967	297	12	2025	2025	NUM
ejpam-6967	297	13	)	)	PUNCT
ejpam-6967	297	14	,	,	PUNCT
ejpam-6967	297	15	6967	6967	NUM
ejpam-6967	297	16	18	18	NUM
ejpam-6967	297	17	of	of	ADP
ejpam-6967	297	18	29	29	NUM
ejpam-6967	297	19	the	the	DET
ejpam-6967	297	20	controls	control	NOUN
ejpam-6967	297	21	(	(	PUNCT
ejpam-6967	297	22	resource	resource	NOUN
ejpam-6967	297	23	expenditure	expenditure	NOUN
ejpam-6967	297	24	)	)	PUNCT
ejpam-6967	297	25	.	.	PUNCT
ejpam-6967	298	1	we	we	PRON
ejpam-6967	298	2	define	define	VERB
ejpam-6967	298	3	the	the	DET
ejpam-6967	298	4	objective	objective	ADJ
ejpam-6967	298	5	functional	functional	ADJ
ejpam-6967	298	6	j	j	PROPN
ejpam-6967	298	7	as	as	ADP
ejpam-6967	298	8	:	:	PUNCT
ejpam-6967	298	9	j(u1	j(u1	NOUN
ejpam-6967	298	10	,	,	PUNCT
ejpam-6967	298	11	u2	u2	NOUN
ejpam-6967	298	12	,	,	PUNCT
ejpam-6967	298	13	u3	u3	NOUN
ejpam-6967	298	14	)	)	PUNCT
ejpam-6967	298	15	=	=	SYM
ejpam-6967	299	1	∫	∫	PROPN
ejpam-6967	299	2	t	t	NOUN
ejpam-6967	299	3	0	0	NUM
ejpam-6967	299	4	[	[	PUNCT
ejpam-6967	299	5	a1l(t	a1l(t	PROPN
ejpam-6967	299	6	)	)	PUNCT
ejpam-6967	300	1	+	+	NOUN
ejpam-6967	300	2	a2a(t	a2a(t	PROPN
ejpam-6967	300	3	)	)	PUNCT
ejpam-6967	300	4	+	+	NOUN
ejpam-6967	300	5	a3q(t	a3q(t	PROPN
ejpam-6967	300	6	)	)	PUNCT
ejpam-6967	300	7	+	+	CCONJ
ejpam-6967	300	8	1	1	NUM
ejpam-6967	300	9	2	2	NUM
ejpam-6967	300	10	(	(	PUNCT
ejpam-6967	300	11	b1u	b1u	ADP
ejpam-6967	300	12	2	2	NUM
ejpam-6967	300	13	1(t	1(t	NUM
ejpam-6967	300	14	)	)	PUNCT
ejpam-6967	301	1	+	+	ADP
ejpam-6967	301	2	b2u	b2u	ADP
ejpam-6967	301	3	2	2	NUM
ejpam-6967	301	4	2(t	2(t	NUM
ejpam-6967	301	5	)	)	PUNCT
ejpam-6967	302	1	+	+	PUNCT
ejpam-6967	302	2	b3u	b3u	X
ejpam-6967	302	3	2	2	NUM
ejpam-6967	302	4	3(t	3(t	NUM
ejpam-6967	302	5	)	)	PUNCT
ejpam-6967	302	6	)	)	PUNCT
ejpam-6967	302	7	]	]	PUNCT
ejpam-6967	303	1	dt	dt	X
ejpam-6967	303	2	.	.	PUNCT
ejpam-6967	304	1	here	here	ADV
ejpam-6967	304	2	,	,	PUNCT
ejpam-6967	304	3	a1	a1	PROPN
ejpam-6967	304	4	,	,	PUNCT
ejpam-6967	304	5	a2	a2	PROPN
ejpam-6967	304	6	,	,	PUNCT
ejpam-6967	304	7	a3	a3	VERB
ejpam-6967	304	8	>	>	X
ejpam-6967	304	9	0	0	NUM
ejpam-6967	304	10	are	be	AUX
ejpam-6967	304	11	weight	weight	NOUN
ejpam-6967	304	12	constants	constant	NOUN
ejpam-6967	304	13	balancing	balance	VERB
ejpam-6967	304	14	the	the	DET
ejpam-6967	304	15	cost	cost	NOUN
ejpam-6967	304	16	associated	associate	VERB
ejpam-6967	304	17	with	with	ADP
ejpam-6967	304	18	the	the	DET
ejpam-6967	304	19	latent	latent	NOUN
ejpam-6967	304	20	,	,	PUNCT
ejpam-6967	304	21	active	active	ADJ
ejpam-6967	304	22	,	,	PUNCT
ejpam-6967	304	23	and	and	CCONJ
ejpam-6967	304	24	quarantined	quarantined	ADJ
ejpam-6967	304	25	populations	population	NOUN
ejpam-6967	304	26	,	,	PUNCT
ejpam-6967	304	27	respectively	respectively	ADV
ejpam-6967	304	28	.	.	PUNCT
ejpam-6967	305	1	the	the	DET
ejpam-6967	305	2	quadratic	quadratic	ADJ
ejpam-6967	305	3	terms	term	NOUN
ejpam-6967	305	4	1	1	NUM
ejpam-6967	305	5	2biu	2biu	NUM
ejpam-6967	305	6	2	2	NUM
ejpam-6967	305	7	i	i	NOUN
ejpam-6967	305	8	(	(	PUNCT
ejpam-6967	305	9	t	t	PROPN
ejpam-6967	305	10	)	)	PUNCT
ejpam-6967	305	11	,	,	PUNCT
ejpam-6967	305	12	with	with	ADP
ejpam-6967	305	13	bi	bi	PROPN
ejpam-6967	305	14	>	>	X
ejpam-6967	305	15	0	0	PROPN
ejpam-6967	305	16	,	,	PUNCT
ejpam-6967	305	17	reflect	reflect	VERB
ejpam-6967	305	18	the	the	DET
ejpam-6967	305	19	nonlinear	nonlinear	ADJ
ejpam-6967	305	20	costs	cost	NOUN
ejpam-6967	305	21	of	of	ADP
ejpam-6967	305	22	implementing	implement	VERB
ejpam-6967	305	23	the	the	DET
ejpam-6967	305	24	controls	control	NOUN
ejpam-6967	305	25	,	,	PUNCT
ejpam-6967	305	26	indicating	indicate	VERB
ejpam-6967	305	27	that	that	SCONJ
ejpam-6967	305	28	increasing	increase	VERB
ejpam-6967	305	29	effort	effort	NOUN
ejpam-6967	305	30	becomes	become	VERB
ejpam-6967	305	31	progressively	progressively	ADV
ejpam-6967	305	32	more	more	ADV
ejpam-6967	305	33	expensive	expensive	ADJ
ejpam-6967	305	34	.	.	PUNCT
ejpam-6967	306	1	our	our	PRON
ejpam-6967	306	2	goal	goal	NOUN
ejpam-6967	306	3	is	be	AUX
ejpam-6967	306	4	to	to	PART
ejpam-6967	306	5	find	find	VERB
ejpam-6967	306	6	an	an	DET
ejpam-6967	306	7	optimal	optimal	ADJ
ejpam-6967	306	8	control	control	NOUN
ejpam-6967	306	9	triple	triple	NOUN
ejpam-6967	306	10	u∗	u∗	ADJ
ejpam-6967	306	11	=	=	PUNCT
ejpam-6967	306	12	(	(	PUNCT
ejpam-6967	306	13	u∗1	u∗1	PROPN
ejpam-6967	306	14	,	,	PUNCT
ejpam-6967	306	15	u	u	NOUN
ejpam-6967	306	16	∗	∗	NOUN
ejpam-6967	306	17	2	2	NUM
ejpam-6967	306	18	,	,	PUNCT
ejpam-6967	306	19	u	u	NOUN
ejpam-6967	306	20	∗	∗	NOUN
ejpam-6967	306	21	3	3	NUM
ejpam-6967	306	22	)	)	PUNCT
ejpam-6967	306	23	such	such	ADJ
ejpam-6967	306	24	that	that	SCONJ
ejpam-6967	306	25	:	:	PUNCT
ejpam-6967	306	26	j(u∗	j(u∗	X
ejpam-6967	306	27	)	)	PUNCT
ejpam-6967	307	1	=	=	SYM
ejpam-6967	307	2	min	min	PROPN
ejpam-6967	307	3	u∈u	u∈u	PROPN
ejpam-6967	307	4	j(u1	j(u1	PROPN
ejpam-6967	307	5	,	,	PUNCT
ejpam-6967	307	6	u2	u2	NOUN
ejpam-6967	307	7	,	,	PUNCT
ejpam-6967	307	8	u3	u3	NOUN
ejpam-6967	307	9	)	)	PUNCT
ejpam-6967	307	10	,	,	PUNCT
ejpam-6967	307	11	where	where	SCONJ
ejpam-6967	307	12	the	the	DET
ejpam-6967	307	13	control	control	NOUN
ejpam-6967	307	14	set	set	VERB
ejpam-6967	307	15	u	u	NOUN
ejpam-6967	307	16	is	be	AUX
ejpam-6967	307	17	defined	define	VERB
ejpam-6967	307	18	as	as	ADP
ejpam-6967	307	19	:	:	PUNCT
ejpam-6967	307	20	u	u	NOUN
ejpam-6967	307	21	=	=	PRON
ejpam-6967	307	22	{	{	PUNCT
ejpam-6967	307	23	(	(	PUNCT
ejpam-6967	307	24	u1	u1	PROPN
ejpam-6967	307	25	,	,	PUNCT
ejpam-6967	307	26	u2	u2	NOUN
ejpam-6967	307	27	,	,	PUNCT
ejpam-6967	307	28	u3	u3	NOUN
ejpam-6967	307	29	)	)	PUNCT
ejpam-6967	307	30	|	|	CCONJ
ejpam-6967	307	31	ui(t	ui(t	NOUN
ejpam-6967	307	32	)	)	PUNCT
ejpam-6967	307	33	is	be	AUX
ejpam-6967	307	34	lebesgue	lebesgue	ADJ
ejpam-6967	307	35	measurable	measurable	NOUN
ejpam-6967	307	36	on	on	ADP
ejpam-6967	307	37	[	[	X
ejpam-6967	307	38	0	0	NUM
ejpam-6967	307	39	,	,	PUNCT
ejpam-6967	307	40	t	t	X
ejpam-6967	307	41	]	]	PUNCT
ejpam-6967	307	42	,	,	PUNCT
ejpam-6967	308	1	0	0	NUM
ejpam-6967	308	2	≤	≤	NUM
ejpam-6967	308	3	ui(t	ui(t	NOUN
ejpam-6967	308	4	)	)	PUNCT
ejpam-6967	308	5	≤	≤	NUM
ejpam-6967	308	6	umax	umax	VERB
ejpam-6967	308	7	i	i	PRON
ejpam-6967	308	8	,	,	PUNCT
ejpam-6967	308	9	i	i	PRON
ejpam-6967	308	10	=	=	NOUN
ejpam-6967	308	11	1	1	NUM
ejpam-6967	308	12	,	,	PUNCT
ejpam-6967	308	13	2	2	NUM
ejpam-6967	308	14	,	,	PUNCT
ejpam-6967	308	15	3	3	NUM
ejpam-6967	308	16	}	}	PUNCT
ejpam-6967	308	17	.	.	PUNCT
ejpam-6967	309	1	3.2	3.2	NUM
ejpam-6967	309	2	.	.	PUNCT
ejpam-6967	309	3	existence	existence	NOUN
ejpam-6967	309	4	of	of	ADP
ejpam-6967	309	5	an	an	DET
ejpam-6967	309	6	optimal	optimal	ADJ
ejpam-6967	309	7	control	control	NOUN
ejpam-6967	309	8	the	the	DET
ejpam-6967	309	9	first	first	ADJ
ejpam-6967	309	10	step	step	NOUN
ejpam-6967	309	11	is	be	AUX
ejpam-6967	309	12	to	to	PART
ejpam-6967	309	13	establish	establish	VERB
ejpam-6967	309	14	that	that	SCONJ
ejpam-6967	309	15	such	such	DET
ejpam-6967	309	16	an	an	DET
ejpam-6967	309	17	optimal	optimal	ADJ
ejpam-6967	309	18	solution	solution	NOUN
ejpam-6967	309	19	actually	actually	ADV
ejpam-6967	309	20	exists	exist	VERB
ejpam-6967	309	21	for	for	ADP
ejpam-6967	309	22	our	our	PRON
ejpam-6967	309	23	system	system	NOUN
ejpam-6967	309	24	.	.	PUNCT
ejpam-6967	310	1	theorem	theorem	NOUN
ejpam-6967	310	2	9	9	NUM
ejpam-6967	310	3	.	.	PUNCT
ejpam-6967	311	1	there	there	PRON
ejpam-6967	311	2	exists	exist	VERB
ejpam-6967	311	3	an	an	DET
ejpam-6967	311	4	optimal	optimal	ADJ
ejpam-6967	311	5	control	control	NOUN
ejpam-6967	311	6	triple	triple	NOUN
ejpam-6967	311	7	u∗	u∗	ADJ
ejpam-6967	311	8	=	=	PUNCT
ejpam-6967	311	9	(	(	PUNCT
ejpam-6967	311	10	u∗1	u∗1	PROPN
ejpam-6967	311	11	,	,	PUNCT
ejpam-6967	311	12	u	u	NOUN
ejpam-6967	311	13	∗	∗	NOUN
ejpam-6967	311	14	2	2	NUM
ejpam-6967	311	15	,	,	PUNCT
ejpam-6967	311	16	u	u	NOUN
ejpam-6967	311	17	∗	∗	NOUN
ejpam-6967	311	18	3	3	NUM
ejpam-6967	311	19	)	)	PUNCT
ejpam-6967	311	20	∈	∈	PROPN
ejpam-6967	311	21	u	u	NOUN
ejpam-6967	311	22	and	and	CCONJ
ejpam-6967	311	23	corresponding	correspond	VERB
ejpam-6967	311	24	state	state	NOUN
ejpam-6967	311	25	solutions	solution	NOUN
ejpam-6967	311	26	s∗	s∗	PROPN
ejpam-6967	311	27	,	,	PUNCT
ejpam-6967	311	28	l∗	l∗	PROPN
ejpam-6967	311	29	,	,	PUNCT
ejpam-6967	311	30	a∗	a∗	NOUN
ejpam-6967	311	31	,	,	PUNCT
ejpam-6967	311	32	q∗	q∗	PROPN
ejpam-6967	311	33	,	,	PUNCT
ejpam-6967	311	34	r∗	r∗	PROPN
ejpam-6967	311	35	,	,	PUNCT
ejpam-6967	311	36	d∗	d∗	VERB
ejpam-6967	311	37	that	that	PRON
ejpam-6967	311	38	minimizes	minimize	VERB
ejpam-6967	311	39	the	the	DET
ejpam-6967	311	40	objective	objective	ADJ
ejpam-6967	311	41	functional	functional	ADJ
ejpam-6967	311	42	j(u1	j(u1	NOUN
ejpam-6967	311	43	,	,	PUNCT
ejpam-6967	311	44	u2	u2	NOUN
ejpam-6967	311	45	,	,	PUNCT
ejpam-6967	311	46	u3	u3	NOUN
ejpam-6967	311	47	)	)	PUNCT
ejpam-6967	311	48	subject	subject	NOUN
ejpam-6967	311	49	to	to	ADP
ejpam-6967	311	50	the	the	DET
ejpam-6967	311	51	controlled	control	VERB
ejpam-6967	311	52	system	system	NOUN
ejpam-6967	311	53	.	.	PUNCT
ejpam-6967	312	1	proof	proof	NOUN
ejpam-6967	312	2	.	.	PUNCT
ejpam-6967	313	1	the	the	DET
ejpam-6967	313	2	existence	existence	NOUN
ejpam-6967	313	3	of	of	ADP
ejpam-6967	313	4	an	an	DET
ejpam-6967	313	5	optimal	optimal	ADJ
ejpam-6967	313	6	control	control	NOUN
ejpam-6967	313	7	is	be	AUX
ejpam-6967	313	8	established	establish	VERB
ejpam-6967	313	9	using	use	VERB
ejpam-6967	313	10	standard	standard	ADJ
ejpam-6967	313	11	results	result	NOUN
ejpam-6967	313	12	from	from	ADP
ejpam-6967	313	13	fleming	fleming	NOUN
ejpam-6967	313	14	and	and	CCONJ
ejpam-6967	313	15	rishel	rishel	PROPN
ejpam-6967	313	16	(	(	PUNCT
ejpam-6967	313	17	1975	1975	NUM
ejpam-6967	313	18	)	)	PUNCT
ejpam-6967	314	1	[	[	X
ejpam-6967	314	2	29	29	NUM
ejpam-6967	314	3	]	]	PUNCT
ejpam-6967	314	4	.	.	PUNCT
ejpam-6967	315	1	the	the	DET
ejpam-6967	315	2	following	follow	VERB
ejpam-6967	315	3	conditions	condition	NOUN
ejpam-6967	315	4	must	must	AUX
ejpam-6967	315	5	be	be	AUX
ejpam-6967	315	6	verified	verify	VERB
ejpam-6967	315	7	:	:	PUNCT
ejpam-6967	315	8	(	(	PUNCT
ejpam-6967	315	9	i	i	NOUN
ejpam-6967	315	10	)	)	PUNCT
ejpam-6967	315	11	the	the	DET
ejpam-6967	315	12	set	set	NOUN
ejpam-6967	315	13	of	of	ADP
ejpam-6967	315	14	controls	control	NOUN
ejpam-6967	315	15	and	and	CCONJ
ejpam-6967	315	16	corresponding	correspond	VERB
ejpam-6967	315	17	state	state	NOUN
ejpam-6967	315	18	variables	variable	NOUN
ejpam-6967	315	19	is	be	AUX
ejpam-6967	315	20	non	non	ADJ
ejpam-6967	315	21	-	-	ADJ
ejpam-6967	315	22	empty	empty	ADJ
ejpam-6967	315	23	.	.	PUNCT
ejpam-6967	316	1	(	(	PUNCT
ejpam-6967	316	2	ii	ii	X
ejpam-6967	316	3	)	)	PUNCT
ejpam-6967	316	4	the	the	DET
ejpam-6967	316	5	control	control	NOUN
ejpam-6967	316	6	set	set	VERB
ejpam-6967	316	7	u	u	NOUN
ejpam-6967	316	8	is	be	AUX
ejpam-6967	316	9	closed	close	VERB
ejpam-6967	316	10	and	and	CCONJ
ejpam-6967	316	11	convex	convex	NOUN
ejpam-6967	316	12	.	.	PUNCT
ejpam-6967	317	1	(	(	PUNCT
ejpam-6967	317	2	iii	iii	X
ejpam-6967	317	3	)	)	PUNCT
ejpam-6967	317	4	the	the	DET
ejpam-6967	317	5	right	right	ADJ
ejpam-6967	317	6	-	-	PUNCT
ejpam-6967	317	7	hand	hand	NOUN
ejpam-6967	317	8	side	side	NOUN
ejpam-6967	317	9	of	of	ADP
ejpam-6967	317	10	the	the	DET
ejpam-6967	317	11	state	state	NOUN
ejpam-6967	317	12	system	system	NOUN
ejpam-6967	317	13	is	be	AUX
ejpam-6967	317	14	bounded	bound	VERB
ejpam-6967	317	15	by	by	ADP
ejpam-6967	317	16	a	a	DET
ejpam-6967	317	17	linear	linear	ADJ
ejpam-6967	317	18	function	function	NOUN
ejpam-6967	317	19	in	in	ADP
ejpam-6967	317	20	the	the	DET
ejpam-6967	317	21	state	state	NOUN
ejpam-6967	317	22	and	and	CCONJ
ejpam-6967	317	23	control	control	NOUN
ejpam-6967	317	24	variables	variable	NOUN
ejpam-6967	317	25	.	.	PUNCT
ejpam-6967	318	1	(	(	PUNCT
ejpam-6967	318	2	iv	iv	X
ejpam-6967	318	3	)	)	PUNCT
ejpam-6967	318	4	the	the	DET
ejpam-6967	318	5	integrand	integrand	PROPN
ejpam-6967	318	6	l	l	NOUN
ejpam-6967	318	7	of	of	ADP
ejpam-6967	318	8	the	the	DET
ejpam-6967	318	9	objective	objective	ADJ
ejpam-6967	318	10	functional	functional	ADJ
ejpam-6967	318	11	,	,	PUNCT
ejpam-6967	318	12	l(t	l(t	PROPN
ejpam-6967	318	13	,	,	PUNCT
ejpam-6967	318	14	x	x	NOUN
ejpam-6967	318	15	,	,	PUNCT
ejpam-6967	318	16	u	u	NOUN
ejpam-6967	318	17	)	)	PUNCT
ejpam-6967	318	18	=	=	SYM
ejpam-6967	318	19	a1l+a2a+a3q+	a1l+a2a+a3q+	PROPN
ejpam-6967	318	20	1	1	NUM
ejpam-6967	318	21	2(b1u	2(b1u	NUM
ejpam-6967	318	22	2	2	NUM
ejpam-6967	318	23	1	1	NUM
ejpam-6967	318	24	+	+	NOUN
ejpam-6967	318	25	b2u	b2u	ADP
ejpam-6967	318	26	2	2	NUM
ejpam-6967	318	27	2	2	NUM
ejpam-6967	318	28	+	+	NOUN
ejpam-6967	318	29	b3u	b3u	NOUN
ejpam-6967	318	30	2	2	NUM
ejpam-6967	318	31	3	3	NUM
ejpam-6967	318	32	)	)	PUNCT
ejpam-6967	318	33	,	,	PUNCT
ejpam-6967	318	34	is	be	AUX
ejpam-6967	318	35	convex	convex	ADJ
ejpam-6967	318	36	on	on	ADP
ejpam-6967	318	37	u	u	PROPN
ejpam-6967	318	38	.	.	PUNCT
ejpam-6967	319	1	(	(	PUNCT
ejpam-6967	319	2	v	v	NOUN
ejpam-6967	319	3	)	)	PUNCT
ejpam-6967	319	4	there	there	PRON
ejpam-6967	319	5	exist	exist	VERB
ejpam-6967	319	6	constants	constant	NOUN
ejpam-6967	319	7	c1	c1	PROPN
ejpam-6967	319	8	,	,	PUNCT
ejpam-6967	319	9	c2	c2	PROPN
ejpam-6967	319	10	>	>	X
ejpam-6967	319	11	0	0	PROPN
ejpam-6967	319	12	and	and	CCONJ
ejpam-6967	319	13	ρ	ρ	NOUN
ejpam-6967	319	14	>	>	X
ejpam-6967	319	15	1	1	NUM
ejpam-6967	319	16	such	such	ADJ
ejpam-6967	319	17	that	that	SCONJ
ejpam-6967	319	18	l(t	l(t	PROPN
ejpam-6967	319	19	,	,	PUNCT
ejpam-6967	319	20	x	x	X
ejpam-6967	319	21	,	,	PUNCT
ejpam-6967	319	22	u	u	NOUN
ejpam-6967	319	23	)	)	PUNCT
ejpam-6967	319	24	≥	≥	NOUN
ejpam-6967	319	25	c1(|u1|2	c1(|u1|2	NOUN
ejpam-6967	319	26	+	+	CCONJ
ejpam-6967	319	27	|u2|2	|u2|2	PUNCT
ejpam-6967	320	1	+	+	CCONJ
ejpam-6967	320	2	|u3|2)ρ/2	|u3|2)ρ/2	PROPN
ejpam-6967	320	3	−	−	PROPN
ejpam-6967	320	4	c2	c2	PROPN
ejpam-6967	320	5	.	.	PUNCT
ejpam-6967	321	1	condition	condition	NOUN
ejpam-6967	321	2	(	(	PUNCT
ejpam-6967	321	3	1	1	X
ejpam-6967	321	4	)	)	PUNCT
ejpam-6967	321	5	is	be	AUX
ejpam-6967	321	6	satisfied	satisfied	ADJ
ejpam-6967	321	7	due	due	ADP
ejpam-6967	321	8	to	to	ADP
ejpam-6967	321	9	the	the	DET
ejpam-6967	321	10	boundedness	boundedness	NOUN
ejpam-6967	321	11	and	and	CCONJ
ejpam-6967	321	12	lipschitz	lipschitz	VERB
ejpam-6967	321	13	continuity	continuity	NOUN
ejpam-6967	321	14	of	of	ADP
ejpam-6967	321	15	the	the	DET
ejpam-6967	321	16	state	state	NOUN
ejpam-6967	321	17	system	system	NOUN
ejpam-6967	321	18	’s	’s	PART
ejpam-6967	321	19	right	right	ADJ
ejpam-6967	321	20	-	-	PUNCT
ejpam-6967	321	21	hand	hand	NOUN
ejpam-6967	321	22	side	side	NOUN
ejpam-6967	321	23	.	.	PUNCT
ejpam-6967	322	1	condition	condition	NOUN
ejpam-6967	322	2	(	(	PUNCT
ejpam-6967	322	3	2	2	X
ejpam-6967	322	4	)	)	PUNCT
ejpam-6967	322	5	is	be	AUX
ejpam-6967	322	6	satisfied	satisfied	ADJ
ejpam-6967	322	7	by	by	ADP
ejpam-6967	322	8	the	the	DET
ejpam-6967	322	9	definition	definition	NOUN
ejpam-6967	322	10	of	of	ADP
ejpam-6967	322	11	u	u	PROPN
ejpam-6967	322	12	.	.	PUNCT
ejpam-6967	323	1	the	the	DET
ejpam-6967	323	2	boundedness	boundedness	NOUN
ejpam-6967	323	3	of	of	ADP
ejpam-6967	323	4	solutions	solution	NOUN
ejpam-6967	323	5	(	(	PUNCT
ejpam-6967	323	6	theorem	theorem	NOUN
ejpam-6967	323	7	2	2	NUM
ejpam-6967	323	8	)	)	PUNCT
ejpam-6967	323	9	ensures	ensure	VERB
ejpam-6967	323	10	condition	condition	NOUN
ejpam-6967	323	11	(	(	PUNCT
ejpam-6967	323	12	3	3	X
ejpam-6967	323	13	)	)	PUNCT
ejpam-6967	323	14	holds	hold	VERB
ejpam-6967	323	15	.	.	PUNCT
ejpam-6967	324	1	the	the	DET
ejpam-6967	324	2	integrand	integrand	PROPN
ejpam-6967	324	3	l	l	NOUN
ejpam-6967	324	4	is	be	AUX
ejpam-6967	324	5	clearly	clearly	ADV
ejpam-6967	324	6	convex	convex	ADJ
ejpam-6967	324	7	in	in	ADP
ejpam-6967	324	8	u	u	NOUN
ejpam-6967	324	9	as	as	SCONJ
ejpam-6967	324	10	the	the	DET
ejpam-6967	324	11	hessian	hessian	ADJ
ejpam-6967	324	12	matrix	matrix	NOUN
ejpam-6967	324	13	with	with	ADP
ejpam-6967	324	14	respect	respect	NOUN
ejpam-6967	324	15	to	to	ADP
ejpam-6967	324	16	(	(	PUNCT
ejpam-6967	324	17	u1	u1	PROPN
ejpam-6967	324	18	,	,	PUNCT
ejpam-6967	324	19	u2	u2	NOUN
ejpam-6967	324	20	,	,	PUNCT
ejpam-6967	324	21	u3	u3	PROPN
ejpam-6967	324	22	)	)	PUNCT
ejpam-6967	324	23	is	be	AUX
ejpam-6967	324	24	a	a	DET
ejpam-6967	324	25	positive	positive	ADJ
ejpam-6967	324	26	definite	definite	ADJ
ejpam-6967	324	27	diagonal	diagonal	ADJ
ejpam-6967	324	28	matrix	matrix	NOUN
ejpam-6967	324	29	(	(	PUNCT
ejpam-6967	324	30	b1	b1	NOUN
ejpam-6967	324	31	,	,	PUNCT
ejpam-6967	324	32	b2	b2	NOUN
ejpam-6967	324	33	,	,	PUNCT
ejpam-6967	324	34	b3	b3	PROPN
ejpam-6967	324	35	>	>	X
ejpam-6967	324	36	0	0	NUM
ejpam-6967	324	37	)	)	PUNCT
ejpam-6967	324	38	.	.	PUNCT
ejpam-6967	325	1	finally	finally	ADV
ejpam-6967	325	2	,	,	PUNCT
ejpam-6967	325	3	condition	condition	NOUN
ejpam-6967	325	4	(	(	PUNCT
ejpam-6967	325	5	5	5	NUM
ejpam-6967	325	6	)	)	PUNCT
ejpam-6967	325	7	is	be	AUX
ejpam-6967	325	8	satisfied	satisfy	VERB
ejpam-6967	325	9	by	by	ADP
ejpam-6967	325	10	choosing	choose	VERB
ejpam-6967	325	11	ρ	ρ	PROPN
ejpam-6967	325	12	=	=	SYM
ejpam-6967	325	13	2	2	NUM
ejpam-6967	325	14	,	,	PUNCT
ejpam-6967	325	15	c1	c1	NOUN
ejpam-6967	325	16	=	=	NOUN
ejpam-6967	325	17	1	1	NUM
ejpam-6967	325	18	2	2	NUM
ejpam-6967	325	19	min{b1	min{b1	NOUN
ejpam-6967	325	20	,	,	PUNCT
ejpam-6967	325	21	b2	b2	NOUN
ejpam-6967	325	22	,	,	PUNCT
ejpam-6967	325	23	b3	b3	PROPN
ejpam-6967	325	24	}	}	PUNCT
ejpam-6967	325	25	,	,	PUNCT
ejpam-6967	325	26	and	and	CCONJ
ejpam-6967	325	27	a	a	DET
ejpam-6967	325	28	sufficiently	sufficiently	ADV
ejpam-6967	325	29	large	large	ADJ
ejpam-6967	325	30	c2	c2	PROPN
ejpam-6967	325	31	.	.	PUNCT
ejpam-6967	326	1	thus	thus	ADV
ejpam-6967	326	2	,	,	PUNCT
ejpam-6967	326	3	an	an	DET
ejpam-6967	326	4	optimal	optimal	ADJ
ejpam-6967	326	5	control	control	NOUN
ejpam-6967	326	6	exists	exist	VERB
ejpam-6967	326	7	.	.	PUNCT
ejpam-6967	327	1	g.	g.	PROPN
ejpam-6967	327	2	ali	ali	PROPN
ejpam-6967	327	3	et	et	PROPN
ejpam-6967	327	4	al	al	PROPN
ejpam-6967	327	5	.	.	PUNCT
ejpam-6967	327	6	/	/	SYM
ejpam-6967	327	7	eur	eur	PROPN
ejpam-6967	327	8	.	.	PUNCT
ejpam-6967	328	1	j.	j.	PROPN
ejpam-6967	328	2	pure	pure	PROPN
ejpam-6967	328	3	appl	appl	PROPN
ejpam-6967	328	4	.	.	PROPN
ejpam-6967	328	5	math	math	PROPN
ejpam-6967	328	6	,	,	PUNCT
ejpam-6967	328	7	18	18	NUM
ejpam-6967	328	8	(	(	PUNCT
ejpam-6967	328	9	4	4	NUM
ejpam-6967	328	10	)	)	PUNCT
ejpam-6967	328	11	(	(	PUNCT
ejpam-6967	328	12	2025	2025	NUM
ejpam-6967	328	13	)	)	PUNCT
ejpam-6967	328	14	,	,	PUNCT
ejpam-6967	328	15	6967	6967	NUM
ejpam-6967	328	16	19	19	NUM
ejpam-6967	328	17	of	of	ADP
ejpam-6967	328	18	29	29	NUM
ejpam-6967	328	19	3.3	3.3	NUM
ejpam-6967	328	20	.	.	PUNCT
ejpam-6967	329	1	characterization	characterization	NOUN
ejpam-6967	329	2	of	of	ADP
ejpam-6967	329	3	the	the	DET
ejpam-6967	329	4	optimal	optimal	ADJ
ejpam-6967	329	5	control	control	NOUN
ejpam-6967	329	6	having	having	AUX
ejpam-6967	329	7	established	establish	VERB
ejpam-6967	329	8	existence	existence	NOUN
ejpam-6967	329	9	,	,	PUNCT
ejpam-6967	329	10	we	we	PRON
ejpam-6967	329	11	derive	derive	VERB
ejpam-6967	329	12	the	the	DET
ejpam-6967	329	13	necessary	necessary	ADJ
ejpam-6967	329	14	conditions	condition	NOUN
ejpam-6967	329	15	that	that	SCONJ
ejpam-6967	329	16	an	an	DET
ejpam-6967	329	17	optimal	optimal	ADJ
ejpam-6967	329	18	control	control	NOUN
ejpam-6967	329	19	must	must	AUX
ejpam-6967	329	20	satisfy	satisfy	VERB
ejpam-6967	329	21	using	use	VERB
ejpam-6967	329	22	pontryagin	pontryagin	NOUN
ejpam-6967	329	23	’s	’s	PART
ejpam-6967	329	24	maximum	maximum	ADJ
ejpam-6967	329	25	principle	principle	NOUN
ejpam-6967	329	26	.	.	PUNCT
ejpam-6967	330	1	theorem	theorem	ADJ
ejpam-6967	330	2	10	10	NUM
ejpam-6967	330	3	.	.	PUNCT
ejpam-6967	331	1	given	give	VERB
ejpam-6967	331	2	an	an	DET
ejpam-6967	331	3	optimal	optimal	ADJ
ejpam-6967	331	4	control	control	NOUN
ejpam-6967	331	5	triple	triple	ADV
ejpam-6967	331	6	u∗	u∗	ADJ
ejpam-6967	331	7	and	and	CCONJ
ejpam-6967	331	8	corresponding	correspond	VERB
ejpam-6967	331	9	state	state	NOUN
ejpam-6967	331	10	solutions	solution	NOUN
ejpam-6967	331	11	x∗	x∗	PROPN
ejpam-6967	331	12	=	=	SYM
ejpam-6967	331	13	(	(	PUNCT
ejpam-6967	331	14	s∗	s∗	PROPN
ejpam-6967	331	15	,	,	PUNCT
ejpam-6967	331	16	l∗	l∗	PROPN
ejpam-6967	331	17	,	,	PUNCT
ejpam-6967	331	18	a∗	a∗	NOUN
ejpam-6967	331	19	,	,	PUNCT
ejpam-6967	331	20	q∗	q∗	PROPN
ejpam-6967	331	21	,	,	PUNCT
ejpam-6967	331	22	r∗	r∗	PROPN
ejpam-6967	331	23	,	,	PUNCT
ejpam-6967	331	24	d∗	d∗	PROPN
ejpam-6967	331	25	)	)	PUNCT
ejpam-6967	331	26	,	,	PUNCT
ejpam-6967	331	27	there	there	PRON
ejpam-6967	331	28	exist	exist	VERB
ejpam-6967	331	29	adjoint	adjoint	NOUN
ejpam-6967	331	30	variables	variable	NOUN
ejpam-6967	331	31	λi(t	λi(t	NUM
ejpam-6967	331	32	)	)	PUNCT
ejpam-6967	331	33	,	,	PUNCT
ejpam-6967	331	34	i	i	PRON
ejpam-6967	331	35	=	=	NOUN
ejpam-6967	331	36	1	1	NUM
ejpam-6967	331	37	,	,	PUNCT
ejpam-6967	331	38	.	.	PUNCT
ejpam-6967	331	39	.	.	PUNCT
ejpam-6967	332	1	.	.	PUNCT
ejpam-6967	333	1	,	,	PUNCT
ejpam-6967	333	2	6	6	NUM
ejpam-6967	333	3	satisfying	satisfy	VERB
ejpam-6967	333	4	the	the	DET
ejpam-6967	333	5	following	follow	VERB
ejpam-6967	333	6	adjoint	adjoint	NOUN
ejpam-6967	333	7	system	system	NOUN
ejpam-6967	333	8	:	:	PUNCT
ejpam-6967	333	9	dλ1	dλ1	NOUN
ejpam-6967	333	10	dt	dt	PUNCT
ejpam-6967	334	1	=	=	SYM
ejpam-6967	334	2	−λ1(β1a	−λ1(β1a	NUM
ejpam-6967	334	3	∗	∗	NOUN
ejpam-6967	334	4	+	+	NUM
ejpam-6967	334	5	β2l	β2l	NOUN
ejpam-6967	334	6	∗	∗	NOUN
ejpam-6967	334	7	+	+	CCONJ
ejpam-6967	334	8	(	(	PUNCT
ejpam-6967	334	9	1−	1−	NUM
ejpam-6967	334	10	u∗1)γ	u∗1)γ	X
ejpam-6967	334	11	+	+	X
ejpam-6967	334	12	µ	µ	X
ejpam-6967	334	13	)	)	PUNCT
ejpam-6967	334	14	+	+	CCONJ
ejpam-6967	334	15	λ2(β1a	λ2(β1a	PROPN
ejpam-6967	334	16	∗	∗	NOUN
ejpam-6967	334	17	+	+	NUM
ejpam-6967	334	18	β2l	β2l	NOUN
ejpam-6967	334	19	∗	∗	NOUN
ejpam-6967	334	20	+	+	CCONJ
ejpam-6967	334	21	(	(	PUNCT
ejpam-6967	334	22	1−	1−	NUM
ejpam-6967	334	23	u∗1)γ	u∗1)γ	NOUN
ejpam-6967	334	24	)	)	PUNCT
ejpam-6967	334	25	,	,	PUNCT
ejpam-6967	334	26	dλ2	dλ2	NOUN
ejpam-6967	334	27	dt	dt	NOUN
ejpam-6967	334	28	=	=	SYM
ejpam-6967	334	29	a1	a1	NOUN
ejpam-6967	334	30	−	−	PROPN
ejpam-6967	334	31	λ1β2s	λ1β2s	PUNCT
ejpam-6967	334	32	∗	∗	NOUN
ejpam-6967	334	33	+	+	X
ejpam-6967	334	34	λ2(β2s	λ2(β2s	ADJ
ejpam-6967	334	35	∗	∗	NOUN
ejpam-6967	334	36	−	−	PROPN
ejpam-6967	334	37	(	(	PUNCT
ejpam-6967	334	38	σ	σ	PROPN
ejpam-6967	334	39	+	+	X
ejpam-6967	334	40	µ+	µ+	X
ejpam-6967	334	41	α	α	NOUN
ejpam-6967	334	42	)	)	PUNCT
ejpam-6967	334	43	)	)	PUNCT
ejpam-6967	335	1	+	+	CCONJ
ejpam-6967	335	2	λ3σ	λ3σ	X
ejpam-6967	335	3	+	+	CCONJ
ejpam-6967	335	4	λ6α	λ6α	PROPN
ejpam-6967	335	5	,	,	PUNCT
ejpam-6967	335	6	dλ3	dλ3	NOUN
ejpam-6967	335	7	dt	dt	NOUN
ejpam-6967	335	8	=	=	PROPN
ejpam-6967	335	9	a2	a2	PROPN
ejpam-6967	335	10	−	−	PROPN
ejpam-6967	335	11	λ1β1s	λ1β1s	X
ejpam-6967	335	12	∗	∗	NOUN
ejpam-6967	335	13	+	+	NUM
ejpam-6967	335	14	λ2β1s	λ2β1s	X
ejpam-6967	335	15	∗	∗	NOUN
ejpam-6967	335	16	−g+	−g+	X
ejpam-6967	336	1	λ4(θ	λ4(θ	X
ejpam-6967	336	2	+	+	NUM
ejpam-6967	336	3	u∗2	u∗2	NOUN
ejpam-6967	336	4	)	)	PUNCT
ejpam-6967	337	1	+	+	CCONJ
ejpam-6967	338	1	λ5(δ	λ5(δ	PROPN
ejpam-6967	338	2	+	+	NUM
ejpam-6967	338	3	u∗3	u∗3	NOUN
ejpam-6967	338	4	)	)	PUNCT
ejpam-6967	339	1	+	+	X
ejpam-6967	339	2	λ6η	λ6η	ADV
ejpam-6967	339	3	,	,	PUNCT
ejpam-6967	339	4	dλ4	dλ4	NOUN
ejpam-6967	339	5	dt	dt	NOUN
ejpam-6967	339	6	=	=	SYM
ejpam-6967	339	7	a3	a3	NOUN
ejpam-6967	339	8	−	−	PROPN
ejpam-6967	339	9	λ4((ξ	λ4((ξ	PROPN
ejpam-6967	339	10	+	+	CCONJ
ejpam-6967	339	11	u∗3	u∗3	NOUN
ejpam-6967	339	12	)	)	PUNCT
ejpam-6967	339	13	+	+	X
ejpam-6967	339	14	µ	µ	X
ejpam-6967	339	15	)	)	PUNCT
ejpam-6967	339	16	+	+	NUM
ejpam-6967	339	17	λ5(ξ	λ5(ξ	X
ejpam-6967	339	18	+	+	NUM
ejpam-6967	339	19	u∗3	u∗3	NOUN
ejpam-6967	339	20	)	)	PUNCT
ejpam-6967	339	21	,	,	PUNCT
ejpam-6967	339	22	dλ5	dλ5	INTJ
ejpam-6967	339	23	dt	dt	NOUN
ejpam-6967	339	24	=	=	SYM
ejpam-6967	339	25	−λ5µ	−λ5µ	PROPN
ejpam-6967	339	26	,	,	PUNCT
ejpam-6967	339	27	dλ6	dλ6	VERB
ejpam-6967	339	28	dt	dt	NOUN
ejpam-6967	340	1	=	=	PUNCT
ejpam-6967	340	2	−λ6µ.	−λ6µ.	NOUN
ejpam-6967	340	3	with	with	ADP
ejpam-6967	340	4	the	the	DET
ejpam-6967	340	5	transversality	transversality	NOUN
ejpam-6967	340	6	conditions	condition	NOUN
ejpam-6967	340	7	(	(	PUNCT
ejpam-6967	340	8	terminal	terminal	ADJ
ejpam-6967	340	9	conditions	condition	NOUN
ejpam-6967	340	10	)	)	PUNCT
ejpam-6967	340	11	at	at	ADP
ejpam-6967	340	12	final	final	ADJ
ejpam-6967	340	13	time	time	NOUN
ejpam-6967	340	14	t	t	NOUN
ejpam-6967	340	15	,	,	PUNCT
ejpam-6967	340	16	where	where	SCONJ
ejpam-6967	340	17	g	g	PROPN
ejpam-6967	340	18	=	=	PROPN
ejpam-6967	340	19	λ3((θ+	λ3((θ+	PART
ejpam-6967	340	20	u∗2	u∗2	NOUN
ejpam-6967	340	21	)	)	PUNCT
ejpam-6967	340	22	+	+	CCONJ
ejpam-6967	340	23	(	(	PUNCT
ejpam-6967	340	24	δ	δ	PROPN
ejpam-6967	340	25	+	+	NUM
ejpam-6967	340	26	u∗3	u∗3	NOUN
ejpam-6967	340	27	)	)	PUNCT
ejpam-6967	340	28	+	+	CCONJ
ejpam-6967	340	29	µ+	µ+	PROPN
ejpam-6967	340	30	η	η	PROPN
ejpam-6967	340	31	):	):	PUNCT
ejpam-6967	340	32	λi(t	λi(t	X
ejpam-6967	340	33	)	)	PUNCT
ejpam-6967	340	34	=	=	SYM
ejpam-6967	340	35	0	0	NUM
ejpam-6967	340	36	,	,	PUNCT
ejpam-6967	340	37	for	for	ADP
ejpam-6967	340	38	i	i	PROPN
ejpam-6967	340	39	=	=	SYM
ejpam-6967	340	40	1	1	NUM
ejpam-6967	340	41	,	,	PUNCT
ejpam-6967	340	42	2	2	NUM
ejpam-6967	340	43	,	,	PUNCT
ejpam-6967	340	44	.	.	PUNCT
ejpam-6967	340	45	.	.	PUNCT
ejpam-6967	341	1	.	.	PUNCT
ejpam-6967	342	1	,	,	PUNCT
ejpam-6967	342	2	6	6	X
ejpam-6967	342	3	.	.	PUNCT
ejpam-6967	343	1	furthermore	furthermore	ADV
ejpam-6967	343	2	,	,	PUNCT
ejpam-6967	343	3	the	the	DET
ejpam-6967	343	4	optimal	optimal	ADJ
ejpam-6967	343	5	controls	control	NOUN
ejpam-6967	343	6	u∗1	u∗1	NOUN
ejpam-6967	343	7	,	,	PUNCT
ejpam-6967	343	8	u∗2	u∗2	NOUN
ejpam-6967	343	9	,	,	PUNCT
ejpam-6967	343	10	and	and	CCONJ
ejpam-6967	343	11	u∗3	u∗3	NOUN
ejpam-6967	343	12	are	be	AUX
ejpam-6967	343	13	characterized	characterize	VERB
ejpam-6967	343	14	by	by	ADP
ejpam-6967	343	15	:	:	PUNCT
ejpam-6967	343	16	u∗1(t	u∗1(t	PROPN
ejpam-6967	343	17	)	)	PUNCT
ejpam-6967	343	18	=	=	SYM
ejpam-6967	343	19	min	min	NOUN
ejpam-6967	343	20	{	{	PUNCT
ejpam-6967	343	21	umax	umax	PROPN
ejpam-6967	343	22	1	1	NUM
ejpam-6967	343	23	,	,	PUNCT
ejpam-6967	343	24	max	max	PROPN
ejpam-6967	343	25	{	{	PUNCT
ejpam-6967	343	26	0	0	NUM
ejpam-6967	343	27	,	,	PUNCT
ejpam-6967	343	28	γs∗(λ2	γs∗(λ2	VERB
ejpam-6967	343	29	−	−	PROPN
ejpam-6967	343	30	λ1	λ1	ADJ
ejpam-6967	343	31	)	)	PUNCT
ejpam-6967	343	32	b1	b1	NOUN
ejpam-6967	343	33	}	}	PUNCT
ejpam-6967	343	34	}	}	PUNCT
ejpam-6967	343	35	,	,	PUNCT
ejpam-6967	343	36	u∗2(t	u∗2(t	PROPN
ejpam-6967	343	37	)	)	PUNCT
ejpam-6967	343	38	=	=	SYM
ejpam-6967	343	39	min	min	NOUN
ejpam-6967	343	40	{	{	PUNCT
ejpam-6967	343	41	umax	umax	PROPN
ejpam-6967	343	42	2	2	NUM
ejpam-6967	343	43	,	,	PUNCT
ejpam-6967	343	44	max	max	PROPN
ejpam-6967	343	45	{	{	PUNCT
ejpam-6967	343	46	0	0	NUM
ejpam-6967	343	47	,	,	PUNCT
ejpam-6967	343	48	a∗(λ3	a∗(λ3	NOUN
ejpam-6967	343	49	−	−	NOUN
ejpam-6967	343	50	λ4	λ4	ADJ
ejpam-6967	343	51	)	)	PUNCT
ejpam-6967	343	52	b2	b2	NOUN
ejpam-6967	343	53	}	}	PUNCT
ejpam-6967	343	54	}	}	PUNCT
ejpam-6967	343	55	,	,	PUNCT
ejpam-6967	343	56	u∗3(t	u∗3(t	PROPN
ejpam-6967	343	57	)	)	PUNCT
ejpam-6967	343	58	=	=	SYM
ejpam-6967	343	59	min	min	NOUN
ejpam-6967	343	60	{	{	PUNCT
ejpam-6967	343	61	umax	umax	PROPN
ejpam-6967	343	62	3	3	NUM
ejpam-6967	343	63	,	,	PUNCT
ejpam-6967	343	64	max	max	PROPN
ejpam-6967	343	65	{	{	PUNCT
ejpam-6967	343	66	0	0	NUM
ejpam-6967	343	67	,	,	PUNCT
ejpam-6967	343	68	a∗(λ3	a∗(λ3	NOUN
ejpam-6967	343	69	−	−	NOUN
ejpam-6967	343	70	λ5	λ5	NOUN
ejpam-6967	343	71	)	)	PUNCT
ejpam-6967	344	1	+	+	ADJ
ejpam-6967	344	2	q∗(λ4	q∗(λ4	ADJ
ejpam-6967	344	3	−	−	ADJ
ejpam-6967	344	4	λ5	λ5	NOUN
ejpam-6967	344	5	)	)	PUNCT
ejpam-6967	344	6	b3	b3	PROPN
ejpam-6967	344	7	}	}	PUNCT
ejpam-6967	344	8	}	}	PUNCT
ejpam-6967	344	9	.	.	PUNCT
ejpam-6967	345	1	proof	proof	NOUN
ejpam-6967	345	2	.	.	PUNCT
ejpam-6967	346	1	pontryagin	pontryagin	NOUN
ejpam-6967	346	2	’s	’s	PART
ejpam-6967	346	3	maximum	maximum	ADJ
ejpam-6967	346	4	principle	principle	NOUN
ejpam-6967	346	5	is	be	AUX
ejpam-6967	346	6	applied	apply	VERB
ejpam-6967	346	7	by	by	ADP
ejpam-6967	346	8	defining	define	VERB
ejpam-6967	346	9	the	the	DET
ejpam-6967	346	10	hamiltonian	hamiltonian	ADJ
ejpam-6967	346	11	h	h	NOUN
ejpam-6967	346	12	:	:	PUNCT
ejpam-6967	346	13	h	h	PROPN
ejpam-6967	346	14	=	=	SYM
ejpam-6967	346	15	a1l+a2a+a3q+	a1l+a2a+a3q+	PROPN
ejpam-6967	346	16	1	1	NUM
ejpam-6967	346	17	2	2	NUM
ejpam-6967	346	18	(	(	PUNCT
ejpam-6967	346	19	b1u	b1u	ADP
ejpam-6967	346	20	2	2	NUM
ejpam-6967	346	21	1	1	NUM
ejpam-6967	346	22	+	+	NOUN
ejpam-6967	346	23	b2u	b2u	PROPN
ejpam-6967	346	24	2	2	NUM
ejpam-6967	346	25	2	2	NUM
ejpam-6967	346	26	+	+	NOUN
ejpam-6967	346	27	b3u	b3u	NOUN
ejpam-6967	346	28	2	2	NUM
ejpam-6967	346	29	3	3	NUM
ejpam-6967	346	30	)	)	PUNCT
ejpam-6967	347	1	+	+	NUM
ejpam-6967	348	1	6∑	6∑	NUM
ejpam-6967	348	2	i=1	i=1	PRON
ejpam-6967	348	3	λifi	λifi	NOUN
ejpam-6967	348	4	,	,	PUNCT
ejpam-6967	348	5	where	where	SCONJ
ejpam-6967	348	6	fi	fi	NOUN
ejpam-6967	348	7	are	be	AUX
ejpam-6967	348	8	the	the	DET
ejpam-6967	348	9	right	right	ADJ
ejpam-6967	348	10	-	-	PUNCT
ejpam-6967	348	11	hand	hand	NOUN
ejpam-6967	348	12	sides	side	NOUN
ejpam-6967	348	13	of	of	ADP
ejpam-6967	348	14	the	the	DET
ejpam-6967	348	15	controlled	control	VERB
ejpam-6967	348	16	state	state	NOUN
ejpam-6967	348	17	equations	equation	NOUN
ejpam-6967	348	18	.	.	PUNCT
ejpam-6967	349	1	the	the	DET
ejpam-6967	349	2	adjoint	adjoint	NOUN
ejpam-6967	349	3	system	system	NOUN
ejpam-6967	349	4	is	be	AUX
ejpam-6967	349	5	derived	derive	VERB
ejpam-6967	349	6	from	from	ADP
ejpam-6967	349	7	the	the	DET
ejpam-6967	349	8	conditions	condition	NOUN
ejpam-6967	349	9	dλi	dλi	VERB
ejpam-6967	349	10	dt	dt	NOUN
ejpam-6967	349	11	=	=	SYM
ejpam-6967	349	12	−	−	PROPN
ejpam-6967	349	13	∂h	∂h	PROPN
ejpam-6967	349	14	∂xi	∂xi	PROPN
ejpam-6967	349	15	,	,	PUNCT
ejpam-6967	349	16	where	where	SCONJ
ejpam-6967	349	17	xi	xi	PROPN
ejpam-6967	349	18	represents	represent	VERB
ejpam-6967	349	19	each	each	DET
ejpam-6967	349	20	state	state	NOUN
ejpam-6967	349	21	variable	variable	NOUN
ejpam-6967	349	22	.	.	PUNCT
ejpam-6967	350	1	the	the	DET
ejpam-6967	350	2	transversality	transversality	NOUN
ejpam-6967	350	3	conditions	condition	NOUN
ejpam-6967	350	4	arise	arise	VERB
ejpam-6967	350	5	from	from	ADP
ejpam-6967	350	6	the	the	DET
ejpam-6967	350	7	free	free	PROPN
ejpam-6967	350	8	terminal	terminal	PROPN
ejpam-6967	350	9	state	state	NOUN
ejpam-6967	350	10	.	.	PUNCT
ejpam-6967	351	1	the	the	DET
ejpam-6967	351	2	characterization	characterization	NOUN
ejpam-6967	351	3	of	of	ADP
ejpam-6967	351	4	the	the	DET
ejpam-6967	351	5	optimal	optimal	ADJ
ejpam-6967	351	6	controls	control	NOUN
ejpam-6967	351	7	is	be	AUX
ejpam-6967	351	8	obtained	obtain	VERB
ejpam-6967	351	9	by	by	ADP
ejpam-6967	351	10	solving	solve	VERB
ejpam-6967	351	11	the	the	DET
ejpam-6967	351	12	optimality	optimality	NOUN
ejpam-6967	351	13	condition	condition	NOUN
ejpam-6967	351	14	∂h	∂h	PROPN
ejpam-6967	351	15	∂uj	∂uj	PROPN
ejpam-6967	351	16	=	=	NOUN
ejpam-6967	351	17	0	0	NUM
ejpam-6967	351	18	for	for	ADP
ejpam-6967	351	19	j	j	PROPN
ejpam-6967	351	20	=	=	SYM
ejpam-6967	351	21	1	1	NUM
ejpam-6967	351	22	,	,	PUNCT
ejpam-6967	351	23	2	2	NUM
ejpam-6967	351	24	,	,	PUNCT
ejpam-6967	351	25	3	3	NUM
ejpam-6967	351	26	at	at	ADP
ejpam-6967	351	27	u∗	u∗	ADJ
ejpam-6967	351	28	subject	subject	NOUN
ejpam-6967	351	29	to	to	ADP
ejpam-6967	351	30	the	the	DET
ejpam-6967	351	31	control	control	NOUN
ejpam-6967	351	32	constraints	constraint	NOUN
ejpam-6967	351	33	.	.	PUNCT
ejpam-6967	352	1	g.	g.	PROPN
ejpam-6967	352	2	ali	ali	PROPN
ejpam-6967	352	3	et	et	PROPN
ejpam-6967	352	4	al	al	PROPN
ejpam-6967	352	5	.	.	PUNCT
ejpam-6967	352	6	/	/	SYM
ejpam-6967	352	7	eur	eur	PROPN
ejpam-6967	352	8	.	.	PUNCT
ejpam-6967	353	1	j.	j.	PROPN
ejpam-6967	353	2	pure	pure	PROPN
ejpam-6967	353	3	appl	appl	PROPN
ejpam-6967	353	4	.	.	PROPN
ejpam-6967	353	5	math	math	PROPN
ejpam-6967	353	6	,	,	PUNCT
ejpam-6967	353	7	18	18	NUM
ejpam-6967	353	8	(	(	PUNCT
ejpam-6967	353	9	4	4	NUM
ejpam-6967	353	10	)	)	PUNCT
ejpam-6967	353	11	(	(	PUNCT
ejpam-6967	353	12	2025	2025	NUM
ejpam-6967	353	13	)	)	PUNCT
ejpam-6967	353	14	,	,	PUNCT
ejpam-6967	353	15	6967	6967	NUM
ejpam-6967	353	16	20	20	NUM
ejpam-6967	353	17	of	of	ADP
ejpam-6967	353	18	29	29	NUM
ejpam-6967	353	19	3.4	3.4	NUM
ejpam-6967	353	20	.	.	PUNCT
ejpam-6967	354	1	optimal	optimal	ADJ
ejpam-6967	354	2	control	control	NOUN
ejpam-6967	354	3	strategy	strategy	NOUN
ejpam-6967	354	4	and	and	CCONJ
ejpam-6967	354	5	comparative	comparative	ADJ
ejpam-6967	354	6	effectiveness	effectiveness	NOUN
ejpam-6967	354	7	the	the	DET
ejpam-6967	354	8	efficacy	efficacy	NOUN
ejpam-6967	354	9	of	of	ADP
ejpam-6967	354	10	the	the	DET
ejpam-6967	354	11	proposed	propose	VERB
ejpam-6967	354	12	optimal	optimal	ADJ
ejpam-6967	354	13	control	control	NOUN
ejpam-6967	354	14	measures	measure	NOUN
ejpam-6967	354	15	u1(t	u1(t	PRON
ejpam-6967	354	16	)	)	PUNCT
ejpam-6967	354	17	(	(	PUNCT
ejpam-6967	354	18	removable	removable	ADJ
ejpam-6967	354	19	media	medium	NOUN
ejpam-6967	354	20	protection	protection	NOUN
ejpam-6967	354	21	)	)	PUNCT
ejpam-6967	354	22	,	,	PUNCT
ejpam-6967	354	23	u2(t	u2(t	NOUN
ejpam-6967	354	24	)	)	PUNCT
ejpam-6967	354	25	(	(	PUNCT
ejpam-6967	354	26	enhanced	enhance	VERB
ejpam-6967	354	27	quarantine	quarantine	NOUN
ejpam-6967	354	28	)	)	PUNCT
ejpam-6967	354	29	,	,	PUNCT
ejpam-6967	354	30	and	and	CCONJ
ejpam-6967	354	31	u3(t	u3(t	NUM
ejpam-6967	354	32	)	)	PUNCT
ejpam-6967	354	33	(	(	PUNCT
ejpam-6967	354	34	enhanced	enhance	VERB
ejpam-6967	354	35	recovery)—is	recovery)—is	ADV
ejpam-6967	354	36	evaluated	evaluate	VERB
ejpam-6967	354	37	through	through	ADP
ejpam-6967	354	38	numerical	numerical	ADJ
ejpam-6967	354	39	simulation	simulation	NOUN
ejpam-6967	354	40	over	over	ADP
ejpam-6967	354	41	a	a	DET
ejpam-6967	354	42	100	100	NUM
ejpam-6967	354	43	-	-	PUNCT
ejpam-6967	354	44	day	day	NOUN
ejpam-6967	354	45	period	period	NOUN
ejpam-6967	354	46	.	.	PUNCT
ejpam-6967	355	1	the	the	DET
ejpam-6967	355	2	system	system	NOUN
ejpam-6967	355	3	,	,	PUNCT
ejpam-6967	355	4	initialized	initialize	VERB
ejpam-6967	355	5	with	with	ADP
ejpam-6967	355	6	s(0	s(0	PROPN
ejpam-6967	355	7	)	)	PUNCT
ejpam-6967	355	8	=	=	SYM
ejpam-6967	355	9	800	800	NUM
ejpam-6967	355	10	,	,	PUNCT
ejpam-6967	355	11	l(0	l(0	PROPN
ejpam-6967	355	12	)	)	PUNCT
ejpam-6967	355	13	=	=	SYM
ejpam-6967	355	14	50	50	NUM
ejpam-6967	355	15	,	,	PUNCT
ejpam-6967	355	16	a(0	a(0	PROPN
ejpam-6967	355	17	)	)	PUNCT
ejpam-6967	355	18	=	=	SYM
ejpam-6967	355	19	30	30	NUM
ejpam-6967	355	20	,	,	PUNCT
ejpam-6967	355	21	q(0	q(0	PROPN
ejpam-6967	355	22	)	)	PUNCT
ejpam-6967	355	23	=	=	SYM
ejpam-6967	355	24	10	10	NUM
ejpam-6967	355	25	,	,	PUNCT
ejpam-6967	355	26	r(0	r(0	PROPN
ejpam-6967	355	27	)	)	PUNCT
ejpam-6967	355	28	=	=	SYM
ejpam-6967	355	29	5	5	NUM
ejpam-6967	355	30	,	,	PUNCT
ejpam-6967	355	31	and	and	CCONJ
ejpam-6967	355	32	d(0	d(0	NOUN
ejpam-6967	355	33	)	)	PUNCT
ejpam-6967	355	34	=	=	SYM
ejpam-6967	355	35	2	2	NUM
ejpam-6967	355	36	computers	computer	NOUN
ejpam-6967	355	37	,	,	PUNCT
ejpam-6967	355	38	is	be	AUX
ejpam-6967	355	39	simulated	simulate	VERB
ejpam-6967	355	40	under	under	ADP
ejpam-6967	355	41	two	two	NUM
ejpam-6967	355	42	scenarios	scenario	NOUN
ejpam-6967	355	43	:	:	PUNCT
ejpam-6967	355	44	a	a	DET
ejpam-6967	355	45	baseline	baseline	NOUN
ejpam-6967	355	46	case	case	NOUN
ejpam-6967	355	47	with	with	ADP
ejpam-6967	355	48	no	no	DET
ejpam-6967	355	49	control	control	NOUN
ejpam-6967	355	50	and	and	CCONJ
ejpam-6967	355	51	an	an	DET
ejpam-6967	355	52	intervention	intervention	NOUN
ejpam-6967	355	53	case	case	NOUN
ejpam-6967	355	54	with	with	ADP
ejpam-6967	355	55	the	the	DET
ejpam-6967	355	56	optimal	optimal	ADJ
ejpam-6967	355	57	control	control	NOUN
ejpam-6967	355	58	strategy	strategy	NOUN
ejpam-6967	355	59	applied	apply	VERB
ejpam-6967	355	60	.	.	PUNCT
ejpam-6967	356	1	the	the	DET
ejpam-6967	356	2	results	result	NOUN
ejpam-6967	356	3	,	,	PUNCT
ejpam-6967	356	4	summarized	summarize	VERB
ejpam-6967	356	5	in	in	ADP
ejpam-6967	356	6	table	table	NOUN
ejpam-6967	356	7	2	2	NUM
ejpam-6967	356	8	,	,	PUNCT
ejpam-6967	356	9	demonstrate	demonstrate	VERB
ejpam-6967	356	10	the	the	DET
ejpam-6967	356	11	profound	profound	ADJ
ejpam-6967	356	12	impact	impact	NOUN
ejpam-6967	356	13	of	of	ADP
ejpam-6967	356	14	the	the	DET
ejpam-6967	356	15	intervention	intervention	NOUN
ejpam-6967	356	16	.	.	PUNCT
ejpam-6967	357	1	table	table	NOUN
ejpam-6967	357	2	2	2	NUM
ejpam-6967	357	3	:	:	PUNCT
ejpam-6967	357	4	comparative	comparative	ADJ
ejpam-6967	357	5	summary	summary	NOUN
ejpam-6967	357	6	of	of	ADP
ejpam-6967	357	7	key	key	ADJ
ejpam-6967	357	8	outcomes	outcome	NOUN
ejpam-6967	357	9	with	with	ADP
ejpam-6967	357	10	and	and	CCONJ
ejpam-6967	357	11	without	without	ADP
ejpam-6967	357	12	the	the	DET
ejpam-6967	357	13	application	application	NOUN
ejpam-6967	357	14	of	of	ADP
ejpam-6967	357	15	optimal	optimal	ADJ
ejpam-6967	357	16	control	control	NOUN
ejpam-6967	357	17	strategies	strategy	NOUN
ejpam-6967	357	18	.	.	PUNCT
ejpam-6967	358	1	metric	metric	ADJ
ejpam-6967	358	2	without	without	ADP
ejpam-6967	358	3	control	control	NOUN
ejpam-6967	358	4	with	with	ADP
ejpam-6967	358	5	optimal	optimal	ADJ
ejpam-6967	358	6	control	control	NOUN
ejpam-6967	358	7	peak	peak	NOUN
ejpam-6967	358	8	total	total	ADJ
ejpam-6967	358	9	infections	infection	NOUN
ejpam-6967	358	10	(	(	PUNCT
ejpam-6967	358	11	l+a	l+a	NUM
ejpam-6967	358	12	)	)	PUNCT
ejpam-6967	358	13	129.4	129.4	NUM
ejpam-6967	358	14	83.2	83.2	NUM
ejpam-6967	358	15	final	final	ADJ
ejpam-6967	358	16	recovered	recover	VERB
ejpam-6967	358	17	systems	system	NOUN
ejpam-6967	358	18	(	(	PUNCT
ejpam-6967	358	19	r	r	NOUN
ejpam-6967	358	20	)	)	PUNCT
ejpam-6967	358	21	192.5	192.5	NUM
ejpam-6967	358	22	312.8	312.8	NUM
ejpam-6967	358	23	final	final	ADJ
ejpam-6967	358	24	deactivated	deactivate	VERB
ejpam-6967	358	25	systems	system	NOUN
ejpam-6967	358	26	(	(	PUNCT
ejpam-6967	358	27	d	d	X
ejpam-6967	358	28	)	)	PUNCT
ejpam-6967	358	29	58.3	58.3	NUM
ejpam-6967	358	30	31.6	31.6	NUM
ejpam-6967	358	31	%	%	NOUN
ejpam-6967	358	32	reduction	reduction	NOUN
ejpam-6967	358	33	in	in	ADP
ejpam-6967	358	34	peak	peak	NOUN
ejpam-6967	358	35	infections	infection	NOUN
ejpam-6967	358	36	–	–	PUNCT
ejpam-6967	358	37	35.7	35.7	NUM
ejpam-6967	358	38	%	%	NOUN
ejpam-6967	358	39	%	%	NOUN
ejpam-6967	358	40	increase	increase	NOUN
ejpam-6967	358	41	in	in	ADP
ejpam-6967	358	42	final	final	ADJ
ejpam-6967	358	43	recovered	recover	VERB
ejpam-6967	358	44	–	–	PUNCT
ejpam-6967	358	45	62.5	62.5	NUM
ejpam-6967	358	46	%	%	NOUN
ejpam-6967	358	47	%	%	NOUN
ejpam-6967	358	48	reduction	reduction	NOUN
ejpam-6967	358	49	in	in	ADP
ejpam-6967	358	50	final	final	ADJ
ejpam-6967	358	51	deactivated	deactivate	VERB
ejpam-6967	358	52	–	–	PUNCT
ejpam-6967	358	53	45.8	45.8	NUM
ejpam-6967	358	54	%	%	NOUN
ejpam-6967	358	55	fig	fig	NOUN
ejpam-6967	358	56	.	.	PUNCT
ejpam-6967	359	1	(	(	PUNCT
ejpam-6967	359	2	6	6	NUM
ejpam-6967	359	3	)	)	PUNCT
ejpam-6967	359	4	presents	present	VERB
ejpam-6967	359	5	a	a	DET
ejpam-6967	359	6	comparative	comparative	ADJ
ejpam-6967	359	7	time	time	NOUN
ejpam-6967	359	8	-	-	PUNCT
ejpam-6967	359	9	series	series	NOUN
ejpam-6967	359	10	analysis	analysis	NOUN
ejpam-6967	359	11	of	of	ADP
ejpam-6967	359	12	the	the	DET
ejpam-6967	359	13	primary	primary	ADJ
ejpam-6967	359	14	model	model	NOUN
ejpam-6967	359	15	compartments	compartment	NOUN
ejpam-6967	359	16	.	.	PUNCT
ejpam-6967	360	1	the	the	DET
ejpam-6967	360	2	most	most	ADV
ejpam-6967	360	3	critical	critical	ADJ
ejpam-6967	360	4	observation	observation	NOUN
ejpam-6967	360	5	is	be	AUX
ejpam-6967	360	6	the	the	DET
ejpam-6967	360	7	stark	stark	ADJ
ejpam-6967	360	8	contrast	contrast	NOUN
ejpam-6967	360	9	in	in	ADP
ejpam-6967	360	10	the	the	DET
ejpam-6967	360	11	total	total	ADJ
ejpam-6967	360	12	infected	infected	ADJ
ejpam-6967	360	13	population	population	NOUN
ejpam-6967	360	14	(	(	PUNCT
ejpam-6967	360	15	l	l	NOUN
ejpam-6967	360	16	+	+	CCONJ
ejpam-6967	360	17	a	a	X
ejpam-6967	360	18	)	)	PUNCT
ejpam-6967	360	19	.	.	PUNCT
ejpam-6967	361	1	the	the	DET
ejpam-6967	361	2	uncontrolled	uncontrolled	ADJ
ejpam-6967	361	3	scenario	scenario	NOUN
ejpam-6967	361	4	(	(	PUNCT
ejpam-6967	361	5	solid	solid	ADJ
ejpam-6967	361	6	blue	blue	ADJ
ejpam-6967	361	7	line	line	NOUN
ejpam-6967	361	8	)	)	PUNCT
ejpam-6967	361	9	exhibits	exhibit	VERB
ejpam-6967	361	10	a	a	DET
ejpam-6967	361	11	sharp	sharp	ADJ
ejpam-6967	361	12	outbreak	outbreak	NOUN
ejpam-6967	361	13	,	,	PUNCT
ejpam-6967	361	14	reaching	reach	VERB
ejpam-6967	361	15	a	a	DET
ejpam-6967	361	16	peak	peak	NOUN
ejpam-6967	361	17	of	of	ADP
ejpam-6967	361	18	approximately	approximately	ADV
ejpam-6967	361	19	129	129	NUM
ejpam-6967	361	20	infected	infect	VERB
ejpam-6967	361	21	systems	system	NOUN
ejpam-6967	361	22	around	around	ADP
ejpam-6967	361	23	day	day	NOUN
ejpam-6967	361	24	20	20	NUM
ejpam-6967	361	25	.	.	PUNCT
ejpam-6967	362	1	in	in	ADP
ejpam-6967	362	2	contrast	contrast	NOUN
ejpam-6967	362	3	,	,	PUNCT
ejpam-6967	362	4	the	the	DET
ejpam-6967	362	5	controlled	control	VERB
ejpam-6967	362	6	scenario	scenario	NOUN
ejpam-6967	362	7	(	(	PUNCT
ejpam-6967	362	8	dashed	dash	VERB
ejpam-6967	362	9	red	red	ADJ
ejpam-6967	362	10	line	line	NOUN
ejpam-6967	362	11	)	)	PUNCT
ejpam-6967	362	12	demonstrates	demonstrate	VERB
ejpam-6967	362	13	a	a	DET
ejpam-6967	362	14	significantly	significantly	ADV
ejpam-6967	362	15	mitigated	mitigate	VERB
ejpam-6967	362	16	outbreak	outbreak	NOUN
ejpam-6967	362	17	,	,	PUNCT
ejpam-6967	362	18	suppressing	suppress	VERB
ejpam-6967	362	19	the	the	DET
ejpam-6967	362	20	peak	peak	NOUN
ejpam-6967	362	21	infection	infection	NOUN
ejpam-6967	362	22	by	by	ADP
ejpam-6967	362	23	35.7	35.7	NUM
ejpam-6967	362	24	%	%	NOUN
ejpam-6967	362	25	to	to	ADP
ejpam-6967	362	26	just	just	ADV
ejpam-6967	362	27	83	83	NUM
ejpam-6967	362	28	systems	system	NOUN
ejpam-6967	362	29	.	.	PUNCT
ejpam-6967	363	1	this	this	DET
ejpam-6967	363	2	suppression	suppression	NOUN
ejpam-6967	363	3	is	be	AUX
ejpam-6967	363	4	directly	directly	ADV
ejpam-6967	363	5	attributable	attributable	ADJ
ejpam-6967	363	6	to	to	ADP
ejpam-6967	363	7	the	the	DET
ejpam-6967	363	8	application	application	NOUN
ejpam-6967	363	9	of	of	ADP
ejpam-6967	363	10	controls	control	NOUN
ejpam-6967	363	11	u2(t	u2(t	NOUN
ejpam-6967	363	12	)	)	PUNCT
ejpam-6967	363	13	and	and	CCONJ
ejpam-6967	363	14	u3(t	u3(t	NUM
ejpam-6967	363	15	)	)	PUNCT
ejpam-6967	363	16	,	,	PUNCT
ejpam-6967	363	17	which	which	PRON
ejpam-6967	363	18	increase	increase	VERB
ejpam-6967	363	19	the	the	DET
ejpam-6967	363	20	quarantine	quarantine	NOUN
ejpam-6967	363	21	and	and	CCONJ
ejpam-6967	363	22	recovery	recovery	NOUN
ejpam-6967	363	23	rates	rate	NOUN
ejpam-6967	363	24	,	,	PUNCT
ejpam-6967	363	25	respectively	respectively	ADV
ejpam-6967	363	26	,	,	PUNCT
ejpam-6967	363	27	effectively	effectively	ADV
ejpam-6967	363	28	removing	remove	VERB
ejpam-6967	363	29	infectious	infectious	ADJ
ejpam-6967	363	30	individuals	individual	NOUN
ejpam-6967	363	31	from	from	ADP
ejpam-6967	363	32	the	the	DET
ejpam-6967	363	33	transmission	transmission	NOUN
ejpam-6967	363	34	chain	chain	NOUN
ejpam-6967	363	35	more	more	ADV
ejpam-6967	363	36	rapidly	rapidly	ADV
ejpam-6967	363	37	.	.	PUNCT
ejpam-6967	364	1	consequently	consequently	ADV
ejpam-6967	364	2	,	,	PUNCT
ejpam-6967	364	3	the	the	DET
ejpam-6967	364	4	controlled	control	VERB
ejpam-6967	364	5	system	system	NOUN
ejpam-6967	364	6	maintains	maintain	VERB
ejpam-6967	364	7	a	a	DET
ejpam-6967	364	8	higher	high	ADJ
ejpam-6967	364	9	population	population	NOUN
ejpam-6967	364	10	of	of	ADP
ejpam-6967	364	11	susceptible	susceptible	ADJ
ejpam-6967	364	12	computers	computer	NOUN
ejpam-6967	364	13	and	and	CCONJ
ejpam-6967	364	14	achieves	achieve	VERB
ejpam-6967	364	15	a	a	DET
ejpam-6967	364	16	substantially	substantially	ADV
ejpam-6967	364	17	larger	large	ADJ
ejpam-6967	364	18	final	final	ADJ
ejpam-6967	364	19	population	population	NOUN
ejpam-6967	364	20	of	of	ADP
ejpam-6967	364	21	recovered	recover	VERB
ejpam-6967	364	22	systems	system	NOUN
ejpam-6967	364	23	(	(	PUNCT
ejpam-6967	364	24	312.8	312.8	NUM
ejpam-6967	364	25	vs.	vs.	ADP
ejpam-6967	364	26	192.5	192.5	NUM
ejpam-6967	364	27	)	)	PUNCT
ejpam-6967	364	28	,	,	PUNCT
ejpam-6967	364	29	while	while	SCONJ
ejpam-6967	364	30	minimizing	minimize	VERB
ejpam-6967	364	31	the	the	DET
ejpam-6967	364	32	number	number	NOUN
ejpam-6967	364	33	of	of	ADP
ejpam-6967	364	34	permanently	permanently	ADV
ejpam-6967	364	35	deactivated	deactivate	VERB
ejpam-6967	364	36	systems	system	NOUN
ejpam-6967	364	37	,	,	PUNCT
ejpam-6967	364	38	as	as	SCONJ
ejpam-6967	364	39	quantified	quantify	VERB
ejpam-6967	364	40	in	in	ADP
ejpam-6967	364	41	table	table	NOUN
ejpam-6967	364	42	2	2	NUM
ejpam-6967	364	43	.	.	PUNCT
ejpam-6967	364	44	to	to	PART
ejpam-6967	364	45	further	far	ADV
ejpam-6967	364	46	demonstrate	demonstrate	VERB
ejpam-6967	364	47	the	the	DET
ejpam-6967	364	48	superiority	superiority	NOUN
ejpam-6967	364	49	of	of	ADP
ejpam-6967	364	50	dynamic	dynamic	ADJ
ejpam-6967	364	51	resource	resource	NOUN
ejpam-6967	364	52	allocation	allocation	NOUN
ejpam-6967	364	53	,	,	PUNCT
ejpam-6967	364	54	the	the	DET
ejpam-6967	364	55	optimal	optimal	ADJ
ejpam-6967	364	56	control	control	NOUN
ejpam-6967	364	57	strategy	strategy	NOUN
ejpam-6967	364	58	was	be	AUX
ejpam-6967	364	59	compared	compare	VERB
ejpam-6967	364	60	against	against	ADP
ejpam-6967	364	61	a	a	DET
ejpam-6967	364	62	static	static	ADJ
ejpam-6967	364	63	policy	policy	NOUN
ejpam-6967	364	64	where	where	SCONJ
ejpam-6967	364	65	control	control	NOUN
ejpam-6967	364	66	efforts	effort	NOUN
ejpam-6967	364	67	were	be	AUX
ejpam-6967	364	68	held	hold	VERB
ejpam-6967	364	69	constant	constant	ADJ
ejpam-6967	364	70	at	at	ADP
ejpam-6967	364	71	their	their	PRON
ejpam-6967	364	72	average	average	ADJ
ejpam-6967	364	73	values	value	NOUN
ejpam-6967	364	74	over	over	ADP
ejpam-6967	364	75	the	the	DET
ejpam-6967	364	76	simulation	simulation	NOUN
ejpam-6967	364	77	period	period	NOUN
ejpam-6967	364	78	(	(	PUNCT
ejpam-6967	364	79	u1	u1	NOUN
ejpam-6967	364	80	=	=	SYM
ejpam-6967	364	81	0.4	0.4	NUM
ejpam-6967	364	82	,	,	PUNCT
ejpam-6967	364	83	u2	u2	PROPN
ejpam-6967	364	84	=	=	NOUN
ejpam-6967	364	85	0.35	0.35	NUM
ejpam-6967	364	86	,	,	PUNCT
ejpam-6967	364	87	u3	u3	NOUN
ejpam-6967	364	88	=	=	NUM
ejpam-6967	364	89	0.5	0.5	NUM
ejpam-6967	364	90	)	)	PUNCT
ejpam-6967	364	91	.	.	PUNCT
ejpam-6967	365	1	while	while	SCONJ
ejpam-6967	365	2	the	the	DET
ejpam-6967	365	3	static	static	ADJ
ejpam-6967	365	4	policy	policy	NOUN
ejpam-6967	365	5	still	still	ADV
ejpam-6967	365	6	outperformed	outperform	VERB
ejpam-6967	365	7	the	the	DET
ejpam-6967	365	8	no	no	DET
ejpam-6967	365	9	-	-	PUNCT
ejpam-6967	365	10	control	control	NOUN
ejpam-6967	365	11	scenario	scenario	NOUN
ejpam-6967	365	12	,	,	PUNCT
ejpam-6967	365	13	the	the	DET
ejpam-6967	365	14	dynamic	dynamic	ADJ
ejpam-6967	365	15	optimal	optimal	ADJ
ejpam-6967	365	16	strategy	strategy	NOUN
ejpam-6967	365	17	achieved	achieve	VERB
ejpam-6967	365	18	a	a	DET
ejpam-6967	365	19	18.3	18.3	NUM
ejpam-6967	365	20	%	%	NOUN
ejpam-6967	365	21	further	further	ADJ
ejpam-6967	365	22	reduction	reduction	NOUN
ejpam-6967	365	23	in	in	ADP
ejpam-6967	365	24	peak	peak	NOUN
ejpam-6967	365	25	infections	infection	NOUN
ejpam-6967	365	26	and	and	CCONJ
ejpam-6967	365	27	a	a	DET
ejpam-6967	365	28	22.1	22.1	NUM
ejpam-6967	365	29	%	%	NOUN
ejpam-6967	365	30	higher	high	ADJ
ejpam-6967	365	31	final	final	ADJ
ejpam-6967	365	32	recovery	recovery	NOUN
ejpam-6967	365	33	rate	rate	NOUN
ejpam-6967	365	34	.	.	PUNCT
ejpam-6967	366	1	this	this	DET
ejpam-6967	366	2	comparison	comparison	NOUN
ejpam-6967	366	3	underscores	underscore	VERB
ejpam-6967	366	4	that	that	SCONJ
ejpam-6967	366	5	the	the	DET
ejpam-6967	366	6	time	time	NOUN
ejpam-6967	366	7	-	-	PUNCT
ejpam-6967	366	8	varying	vary	VERB
ejpam-6967	366	9	,	,	PUNCT
ejpam-6967	366	10	adaptive	adaptive	ADJ
ejpam-6967	366	11	allocation	allocation	NOUN
ejpam-6967	366	12	of	of	ADP
ejpam-6967	366	13	resources	resource	NOUN
ejpam-6967	366	14	is	be	AUX
ejpam-6967	366	15	crucial	crucial	ADJ
ejpam-6967	366	16	for	for	ADP
ejpam-6967	366	17	maximizing	maximize	VERB
ejpam-6967	366	18	containment	containment	NOUN
ejpam-6967	366	19	efficiency	efficiency	NOUN
ejpam-6967	366	20	and	and	CCONJ
ejpam-6967	366	21	minimizing	minimize	VERB
ejpam-6967	366	22	operational	operational	ADJ
ejpam-6967	366	23	damage	damage	NOUN
ejpam-6967	366	24	,	,	PUNCT
ejpam-6967	366	25	rather	rather	ADV
ejpam-6967	366	26	than	than	ADP
ejpam-6967	366	27	merely	merely	ADV
ejpam-6967	366	28	applying	apply	VERB
ejpam-6967	366	29	uniform	uniform	ADJ
ejpam-6967	366	30	effort	effort	NOUN
ejpam-6967	366	31	throughout	throughout	ADP
ejpam-6967	366	32	an	an	DET
ejpam-6967	366	33	outbreak	outbreak	NOUN
ejpam-6967	366	34	.	.	PUNCT
ejpam-6967	367	1	g.	g.	PROPN
ejpam-6967	367	2	ali	ali	PROPN
ejpam-6967	367	3	et	et	PROPN
ejpam-6967	367	4	al	al	PROPN
ejpam-6967	367	5	.	.	PUNCT
ejpam-6967	367	6	/	/	SYM
ejpam-6967	367	7	eur	eur	PROPN
ejpam-6967	367	8	.	.	PUNCT
ejpam-6967	368	1	j.	j.	PROPN
ejpam-6967	368	2	pure	pure	PROPN
ejpam-6967	368	3	appl	appl	PROPN
ejpam-6967	368	4	.	.	PROPN
ejpam-6967	368	5	math	math	PROPN
ejpam-6967	368	6	,	,	PUNCT
ejpam-6967	368	7	18	18	NUM
ejpam-6967	368	8	(	(	PUNCT
ejpam-6967	368	9	4	4	NUM
ejpam-6967	368	10	)	)	PUNCT
ejpam-6967	368	11	(	(	PUNCT
ejpam-6967	368	12	2025	2025	NUM
ejpam-6967	368	13	)	)	PUNCT
ejpam-6967	368	14	,	,	PUNCT
ejpam-6967	368	15	6967	6967	NUM
ejpam-6967	368	16	21	21	NUM
ejpam-6967	368	17	of	of	ADP
ejpam-6967	368	18	29	29	NUM
ejpam-6967	368	19	0	0	NUM
ejpam-6967	368	20	10	10	NUM
ejpam-6967	368	21	20	20	NUM
ejpam-6967	368	22	30	30	NUM
ejpam-6967	368	23	40	40	NUM
ejpam-6967	368	24	50	50	NUM
ejpam-6967	368	25	60	60	NUM
ejpam-6967	368	26	70	70	NUM
ejpam-6967	368	27	80	80	NUM
ejpam-6967	368	28	90	90	NUM
ejpam-6967	368	29	100	100	NUM
ejpam-6967	368	30	time	time	NOUN
ejpam-6967	368	31	(	(	PUNCT
ejpam-6967	368	32	days	day	NOUN
ejpam-6967	368	33	)	)	PUNCT
ejpam-6967	368	34	200	200	NUM
ejpam-6967	369	1	300	300	NUM
ejpam-6967	369	2	400	400	NUM
ejpam-6967	369	3	500	500	NUM
ejpam-6967	369	4	600	600	NUM
ejpam-6967	369	5	700	700	NUM
ejpam-6967	369	6	800	800	NUM
ejpam-6967	369	7	n	n	NUM
ejpam-6967	369	8	u	u	NOUN
ejpam-6967	369	9	m	m	NOUN
ejpam-6967	369	10	b	b	NOUN
ejpam-6967	369	11	e	e	NOUN
ejpam-6967	369	12	r	r	NOUN
ejpam-6967	369	13	o	o	X
ejpam-6967	369	14	f	f	X
ejpam-6967	369	15	c	c	NOUN
ejpam-6967	370	1	o	o	NOUN
ejpam-6967	370	2	m	m	VERB
ejpam-6967	370	3	p	p	X
ejpam-6967	370	4	u	u	X
ejpam-6967	370	5	te	te	INTJ
ejpam-6967	370	6	rs	rs	ADJ
ejpam-6967	370	7	comparison	comparison	NOUN
ejpam-6967	370	8	of	of	ADP
ejpam-6967	370	9	susceptible	susceptible	ADJ
ejpam-6967	370	10	computers	computer	NOUN
ejpam-6967	370	11	without	without	ADP
ejpam-6967	370	12	control	control	NOUN
ejpam-6967	370	13	with	with	ADP
ejpam-6967	370	14	optimal	optimal	ADJ
ejpam-6967	370	15	control	control	NOUN
ejpam-6967	370	16	0	0	NUM
ejpam-6967	370	17	10	10	NUM
ejpam-6967	370	18	20	20	NUM
ejpam-6967	370	19	30	30	NUM
ejpam-6967	370	20	40	40	NUM
ejpam-6967	370	21	50	50	NUM
ejpam-6967	370	22	60	60	NUM
ejpam-6967	370	23	70	70	NUM
ejpam-6967	370	24	80	80	NUM
ejpam-6967	370	25	90	90	NUM
ejpam-6967	370	26	100	100	NUM
ejpam-6967	370	27	time	time	NOUN
ejpam-6967	370	28	(	(	PUNCT
ejpam-6967	370	29	days	day	NOUN
ejpam-6967	370	30	)	)	PUNCT
ejpam-6967	370	31	0	0	NUM
ejpam-6967	371	1	50	50	NUM
ejpam-6967	371	2	100	100	NUM
ejpam-6967	371	3	150	150	NUM
ejpam-6967	371	4	200	200	NUM
ejpam-6967	371	5	250	250	NUM
ejpam-6967	371	6	n	n	NUM
ejpam-6967	371	7	u	u	NOUN
ejpam-6967	371	8	m	m	NOUN
ejpam-6967	371	9	b	b	NOUN
ejpam-6967	371	10	e	e	NOUN
ejpam-6967	371	11	r	r	NOUN
ejpam-6967	371	12	o	o	X
ejpam-6967	371	13	f	f	X
ejpam-6967	371	14	c	c	NOUN
ejpam-6967	372	1	o	o	NOUN
ejpam-6967	372	2	m	m	VERB
ejpam-6967	372	3	p	p	X
ejpam-6967	372	4	u	u	X
ejpam-6967	372	5	te	te	INTJ
ejpam-6967	372	6	rs	rs	ADJ
ejpam-6967	372	7	comparison	comparison	NOUN
ejpam-6967	372	8	of	of	ADP
ejpam-6967	372	9	total	total	ADJ
ejpam-6967	372	10	infected	infected	ADJ
ejpam-6967	372	11	computers	computer	NOUN
ejpam-6967	372	12	(	(	PUNCT
ejpam-6967	372	13	l	l	NOUN
ejpam-6967	372	14	+	+	CCONJ
ejpam-6967	372	15	a	a	X
ejpam-6967	372	16	)	)	PUNCT
ejpam-6967	372	17	without	without	ADP
ejpam-6967	372	18	control	control	NOUN
ejpam-6967	372	19	with	with	ADP
ejpam-6967	372	20	optimal	optimal	ADJ
ejpam-6967	372	21	control	control	NOUN
ejpam-6967	372	22	0	0	NUM
ejpam-6967	372	23	10	10	NUM
ejpam-6967	372	24	20	20	NUM
ejpam-6967	372	25	30	30	NUM
ejpam-6967	372	26	40	40	NUM
ejpam-6967	372	27	50	50	NUM
ejpam-6967	372	28	60	60	NUM
ejpam-6967	372	29	70	70	NUM
ejpam-6967	372	30	80	80	NUM
ejpam-6967	372	31	90	90	NUM
ejpam-6967	372	32	100	100	NUM
ejpam-6967	372	33	time	time	NOUN
ejpam-6967	372	34	(	(	PUNCT
ejpam-6967	372	35	days	day	NOUN
ejpam-6967	372	36	)	)	PUNCT
ejpam-6967	372	37	0	0	NUM
ejpam-6967	372	38	5	5	NUM
ejpam-6967	372	39	10	10	NUM
ejpam-6967	372	40	15	15	NUM
ejpam-6967	372	41	20	20	NUM
ejpam-6967	372	42	25	25	NUM
ejpam-6967	372	43	30	30	NUM
ejpam-6967	372	44	35	35	NUM
ejpam-6967	372	45	40	40	NUM
ejpam-6967	372	46	45	45	NUM
ejpam-6967	372	47	n	n	NUM
ejpam-6967	372	48	u	u	NOUN
ejpam-6967	372	49	m	m	NOUN
ejpam-6967	372	50	b	b	NOUN
ejpam-6967	372	51	e	e	NOUN
ejpam-6967	372	52	r	r	NOUN
ejpam-6967	372	53	o	o	X
ejpam-6967	373	1	f	f	X
ejpam-6967	373	2	c	c	NOUN
ejpam-6967	374	1	o	o	NOUN
ejpam-6967	374	2	m	m	VERB
ejpam-6967	374	3	p	p	X
ejpam-6967	374	4	u	u	X
ejpam-6967	374	5	te	te	INTJ
ejpam-6967	374	6	rs	rs	ADJ
ejpam-6967	374	7	comparison	comparison	NOUN
ejpam-6967	374	8	of	of	ADP
ejpam-6967	374	9	actively	actively	ADV
ejpam-6967	374	10	infected	infected	ADJ
ejpam-6967	374	11	computers	computer	NOUN
ejpam-6967	374	12	without	without	ADP
ejpam-6967	374	13	control	control	NOUN
ejpam-6967	374	14	with	with	ADP
ejpam-6967	374	15	optimal	optimal	ADJ
ejpam-6967	374	16	control	control	NOUN
ejpam-6967	374	17	0	0	NUM
ejpam-6967	374	18	10	10	NUM
ejpam-6967	374	19	20	20	NUM
ejpam-6967	374	20	30	30	NUM
ejpam-6967	374	21	40	40	NUM
ejpam-6967	374	22	50	50	NUM
ejpam-6967	374	23	60	60	NUM
ejpam-6967	374	24	70	70	NUM
ejpam-6967	374	25	80	80	NUM
ejpam-6967	374	26	90	90	NUM
ejpam-6967	374	27	100	100	NUM
ejpam-6967	374	28	time	time	NOUN
ejpam-6967	374	29	(	(	PUNCT
ejpam-6967	374	30	days	day	NOUN
ejpam-6967	374	31	)	)	PUNCT
ejpam-6967	374	32	0	0	NUM
ejpam-6967	374	33	5	5	NUM
ejpam-6967	374	34	10	10	NUM
ejpam-6967	374	35	15	15	NUM
ejpam-6967	374	36	20	20	NUM
ejpam-6967	374	37	25	25	NUM
ejpam-6967	374	38	30	30	NUM
ejpam-6967	374	39	35	35	NUM
ejpam-6967	374	40	n	n	NUM
ejpam-6967	374	41	u	u	NOUN
ejpam-6967	374	42	m	m	NOUN
ejpam-6967	374	43	b	b	NOUN
ejpam-6967	374	44	e	e	NOUN
ejpam-6967	374	45	r	r	NOUN
ejpam-6967	374	46	o	o	X
ejpam-6967	375	1	f	f	X
ejpam-6967	375	2	c	c	NOUN
ejpam-6967	376	1	o	o	NOUN
ejpam-6967	376	2	m	m	VERB
ejpam-6967	376	3	p	p	X
ejpam-6967	376	4	u	u	X
ejpam-6967	376	5	te	te	INTJ
ejpam-6967	376	6	rs	rs	ADJ
ejpam-6967	376	7	comparison	comparison	NOUN
ejpam-6967	376	8	of	of	ADP
ejpam-6967	376	9	quarantined	quarantine	VERB
ejpam-6967	376	10	computers	computer	NOUN
ejpam-6967	376	11	without	without	ADP
ejpam-6967	376	12	control	control	NOUN
ejpam-6967	376	13	with	with	ADP
ejpam-6967	376	14	optimal	optimal	ADJ
ejpam-6967	376	15	control	control	NOUN
ejpam-6967	376	16	0	0	NUM
ejpam-6967	376	17	10	10	NUM
ejpam-6967	376	18	20	20	NUM
ejpam-6967	376	19	30	30	NUM
ejpam-6967	376	20	40	40	NUM
ejpam-6967	376	21	50	50	NUM
ejpam-6967	376	22	60	60	NUM
ejpam-6967	376	23	70	70	NUM
ejpam-6967	376	24	80	80	NUM
ejpam-6967	376	25	90	90	NUM
ejpam-6967	376	26	100	100	NUM
ejpam-6967	376	27	time	time	NOUN
ejpam-6967	376	28	(	(	PUNCT
ejpam-6967	376	29	days	day	NOUN
ejpam-6967	376	30	)	)	PUNCT
ejpam-6967	376	31	0	0	NUM
ejpam-6967	377	1	50	50	NUM
ejpam-6967	377	2	100	100	NUM
ejpam-6967	377	3	150	150	NUM
ejpam-6967	377	4	200	200	NUM
ejpam-6967	377	5	250	250	NUM
ejpam-6967	377	6	300	300	NUM
ejpam-6967	377	7	350	350	NUM
ejpam-6967	377	8	400	400	NUM
ejpam-6967	377	9	n	n	NUM
ejpam-6967	377	10	u	u	NOUN
ejpam-6967	377	11	m	m	NOUN
ejpam-6967	377	12	b	b	NOUN
ejpam-6967	377	13	e	e	NOUN
ejpam-6967	377	14	r	r	NOUN
ejpam-6967	377	15	o	o	X
ejpam-6967	377	16	f	f	X
ejpam-6967	378	1	c	c	NOUN
ejpam-6967	378	2	o	o	NOUN
ejpam-6967	379	1	m	m	VERB
ejpam-6967	379	2	p	p	X
ejpam-6967	379	3	u	u	X
ejpam-6967	379	4	te	te	INTJ
ejpam-6967	379	5	rs	rs	ADJ
ejpam-6967	379	6	comparison	comparison	NOUN
ejpam-6967	379	7	of	of	ADP
ejpam-6967	379	8	recovered	recovered	ADJ
ejpam-6967	379	9	computers	computer	NOUN
ejpam-6967	379	10	without	without	ADP
ejpam-6967	379	11	control	control	NOUN
ejpam-6967	379	12	with	with	ADP
ejpam-6967	379	13	optimal	optimal	ADJ
ejpam-6967	379	14	control	control	NOUN
ejpam-6967	379	15	0	0	NUM
ejpam-6967	379	16	10	10	NUM
ejpam-6967	379	17	20	20	NUM
ejpam-6967	379	18	30	30	NUM
ejpam-6967	379	19	40	40	NUM
ejpam-6967	379	20	50	50	NUM
ejpam-6967	379	21	60	60	NUM
ejpam-6967	379	22	70	70	NUM
ejpam-6967	379	23	80	80	NUM
ejpam-6967	379	24	90	90	NUM
ejpam-6967	379	25	100	100	NUM
ejpam-6967	379	26	time	time	NOUN
ejpam-6967	379	27	(	(	PUNCT
ejpam-6967	379	28	days	day	NOUN
ejpam-6967	379	29	)	)	PUNCT
ejpam-6967	379	30	0	0	NUM
ejpam-6967	380	1	50	50	NUM
ejpam-6967	380	2	100	100	NUM
ejpam-6967	380	3	150	150	NUM
ejpam-6967	380	4	200	200	NUM
ejpam-6967	380	5	250	250	NUM
ejpam-6967	380	6	300	300	NUM
ejpam-6967	380	7	n	n	NUM
ejpam-6967	380	8	u	u	NOUN
ejpam-6967	380	9	m	m	NOUN
ejpam-6967	380	10	b	b	PROPN
ejpam-6967	380	11	e	e	NOUN
ejpam-6967	380	12	r	r	NOUN
ejpam-6967	380	13	o	o	X
ejpam-6967	380	14	f	f	X
ejpam-6967	381	1	c	c	NOUN
ejpam-6967	381	2	o	o	NOUN
ejpam-6967	382	1	m	m	VERB
ejpam-6967	382	2	p	p	X
ejpam-6967	382	3	u	u	X
ejpam-6967	382	4	te	te	INTJ
ejpam-6967	382	5	rs	rs	ADJ
ejpam-6967	382	6	comparison	comparison	NOUN
ejpam-6967	382	7	of	of	ADP
ejpam-6967	382	8	deactivated	deactivated	ADJ
ejpam-6967	382	9	computers	computer	NOUN
ejpam-6967	382	10	without	without	ADP
ejpam-6967	382	11	control	control	NOUN
ejpam-6967	382	12	with	with	ADP
ejpam-6967	382	13	optimal	optimal	ADJ
ejpam-6967	382	14	control	control	NOUN
ejpam-6967	382	15	figure	figure	NOUN
ejpam-6967	382	16	6	6	NUM
ejpam-6967	382	17	:	:	PUNCT
ejpam-6967	382	18	compartmental	compartmental	ADJ
ejpam-6967	382	19	dynamics	dynamic	NOUN
ejpam-6967	382	20	and	and	CCONJ
ejpam-6967	382	21	control	control	NOUN
ejpam-6967	382	22	trajectories	trajectory	NOUN
ejpam-6967	382	23	.	.	PUNCT
ejpam-6967	383	1	fig	fig	NOUN
ejpam-6967	383	2	.	.	PUNCT
ejpam-6967	384	1	(	(	PUNCT
ejpam-6967	384	2	7	7	X
ejpam-6967	384	3	)	)	PUNCT
ejpam-6967	384	4	illustrates	illustrate	VERB
ejpam-6967	384	5	the	the	DET
ejpam-6967	384	6	temporal	temporal	ADJ
ejpam-6967	384	7	profiles	profile	NOUN
ejpam-6967	384	8	of	of	ADP
ejpam-6967	384	9	the	the	DET
ejpam-6967	384	10	three	three	NUM
ejpam-6967	384	11	optimal	optimal	ADJ
ejpam-6967	384	12	control	control	NOUN
ejpam-6967	384	13	efforts	effort	NOUN
ejpam-6967	384	14	.	.	PUNCT
ejpam-6967	385	1	the	the	DET
ejpam-6967	385	2	strategy	strategy	NOUN
ejpam-6967	385	3	employs	employ	VERB
ejpam-6967	385	4	a	a	DET
ejpam-6967	385	5	high	high	ADJ
ejpam-6967	385	6	-	-	PUNCT
ejpam-6967	385	7	intensity	intensity	NOUN
ejpam-6967	385	8	initial	initial	ADJ
ejpam-6967	385	9	response	response	NOUN
ejpam-6967	385	10	:	:	PUNCT
ejpam-6967	385	11	u1(t	u1(t	X
ejpam-6967	385	12	)	)	PUNCT
ejpam-6967	385	13	(	(	PUNCT
ejpam-6967	385	14	removable	removable	ADJ
ejpam-6967	385	15	media	media	NOUN
ejpam-6967	385	16	protection	protection	NOUN
ejpam-6967	385	17	)	)	PUNCT
ejpam-6967	385	18	and	and	CCONJ
ejpam-6967	385	19	u2(t	u2(t	NOUN
ejpam-6967	385	20	)	)	PUNCT
ejpam-6967	385	21	(	(	PUNCT
ejpam-6967	385	22	enhanced	enhance	VERB
ejpam-6967	385	23	quarantine	quarantine	NOUN
ejpam-6967	385	24	)	)	PUNCT
ejpam-6967	385	25	are	be	AUX
ejpam-6967	385	26	initially	initially	ADV
ejpam-6967	385	27	applied	apply	VERB
ejpam-6967	385	28	at	at	ADP
ejpam-6967	385	29	near	near	ADP
ejpam-6967	385	30	-	-	PUNCT
ejpam-6967	385	31	maximum	maximum	NOUN
ejpam-6967	385	32	capacity	capacity	NOUN
ejpam-6967	385	33	(	(	PUNCT
ejpam-6967	385	34	approx	approx	PROPN
ejpam-6967	385	35	.	.	PUNCT
ejpam-6967	386	1	0.81	0.81	NUM
ejpam-6967	386	2	and	and	CCONJ
ejpam-6967	386	3	0.72	0.72	NUM
ejpam-6967	386	4	,	,	PUNCT
ejpam-6967	386	5	respectively	respectively	ADV
ejpam-6967	386	6	)	)	PUNCT
ejpam-6967	386	7	to	to	PART
ejpam-6967	386	8	aggressively	aggressively	ADV
ejpam-6967	386	9	curb	curb	VERB
ejpam-6967	386	10	the	the	DET
ejpam-6967	386	11	initial	initial	ADJ
ejpam-6967	386	12	exponential	exponential	ADJ
ejpam-6967	386	13	growth	growth	NOUN
ejpam-6967	386	14	phase	phase	NOUN
ejpam-6967	386	15	of	of	ADP
ejpam-6967	386	16	the	the	DET
ejpam-6967	386	17	outbreak	outbreak	NOUN
ejpam-6967	386	18	.	.	PUNCT
ejpam-6967	387	1	after	after	ADP
ejpam-6967	387	2	suppressing	suppress	VERB
ejpam-6967	387	3	the	the	DET
ejpam-6967	387	4	peak	peak	NOUN
ejpam-6967	387	5	(	(	PUNCT
ejpam-6967	387	6	around	around	ADP
ejpam-6967	387	7	day	day	NOUN
ejpam-6967	387	8	30	30	NUM
ejpam-6967	387	9	)	)	PUNCT
ejpam-6967	387	10	,	,	PUNCT
ejpam-6967	387	11	the	the	DET
ejpam-6967	387	12	strategy	strategy	NOUN
ejpam-6967	387	13	adapts	adapt	VERB
ejpam-6967	387	14	;	;	PUNCT
ejpam-6967	387	15	u1(t	u1(t	X
ejpam-6967	387	16	)	)	PUNCT
ejpam-6967	387	17	and	and	CCONJ
ejpam-6967	387	18	u2(t	u2(t	NOUN
ejpam-6967	387	19	)	)	PUNCT
ejpam-6967	387	20	are	be	AUX
ejpam-6967	387	21	gradually	gradually	ADV
ejpam-6967	387	22	reduced	reduce	VERB
ejpam-6967	387	23	to	to	PART
ejpam-6967	387	24	conserve	conserve	VERB
ejpam-6967	387	25	resources	resource	NOUN
ejpam-6967	387	26	,	,	PUNCT
ejpam-6967	387	27	while	while	SCONJ
ejpam-6967	387	28	u3(t	u3(t	PRON
ejpam-6967	387	29	)	)	PUNCT
ejpam-6967	387	30	(	(	PUNCT
ejpam-6967	387	31	enhanced	enhanced	ADJ
ejpam-6967	387	32	recovery	recovery	NOUN
ejpam-6967	387	33	,	,	PUNCT
ejpam-6967	387	34	g.	g.	PROPN
ejpam-6967	387	35	ali	ali	PROPN
ejpam-6967	387	36	et	et	PROPN
ejpam-6967	387	37	al	al	PROPN
ejpam-6967	387	38	.	.	PUNCT
ejpam-6967	387	39	/	/	SYM
ejpam-6967	387	40	eur	eur	PROPN
ejpam-6967	387	41	.	.	PUNCT
ejpam-6967	388	1	j.	j.	PROPN
ejpam-6967	388	2	pure	pure	PROPN
ejpam-6967	388	3	appl	appl	PROPN
ejpam-6967	388	4	.	.	PROPN
ejpam-6967	388	5	math	math	PROPN
ejpam-6967	388	6	,	,	PUNCT
ejpam-6967	388	7	18	18	NUM
ejpam-6967	388	8	(	(	PUNCT
ejpam-6967	388	9	4	4	NUM
ejpam-6967	388	10	)	)	PUNCT
ejpam-6967	388	11	(	(	PUNCT
ejpam-6967	388	12	2025	2025	NUM
ejpam-6967	388	13	)	)	PUNCT
ejpam-6967	388	14	,	,	PUNCT
ejpam-6967	388	15	6967	6967	NUM
ejpam-6967	388	16	22	22	NUM
ejpam-6967	388	17	of	of	ADP
ejpam-6967	388	18	29	29	NUM
ejpam-6967	388	19	initially	initially	ADV
ejpam-6967	388	20	at	at	ADP
ejpam-6967	388	21	0.43	0.43	NUM
ejpam-6967	388	22	)	)	PUNCT
ejpam-6967	388	23	is	be	AUX
ejpam-6967	388	24	ramped	ramp	VERB
ejpam-6967	388	25	up	up	ADP
ejpam-6967	388	26	to	to	ADP
ejpam-6967	388	27	its	its	PRON
ejpam-6967	388	28	maximum	maximum	ADJ
ejpam-6967	388	29	value	value	NOUN
ejpam-6967	388	30	of	of	ADP
ejpam-6967	388	31	0.85	0.85	NUM
ejpam-6967	388	32	to	to	PART
ejpam-6967	388	33	efficiently	efficiently	ADV
ejpam-6967	388	34	clean	clean	VERB
ejpam-6967	388	35	and	and	CCONJ
ejpam-6967	388	36	return	return	VERB
ejpam-6967	388	37	quarantined	quarantine	VERB
ejpam-6967	388	38	and	and	CCONJ
ejpam-6967	388	39	infected	infected	ADJ
ejpam-6967	388	40	systems	system	NOUN
ejpam-6967	388	41	to	to	ADP
ejpam-6967	388	42	the	the	DET
ejpam-6967	388	43	recovered	recovered	ADJ
ejpam-6967	388	44	state	state	NOUN
ejpam-6967	388	45	.	.	PUNCT
ejpam-6967	389	1	this	this	DET
ejpam-6967	389	2	time	time	NOUN
ejpam-6967	389	3	-	-	PUNCT
ejpam-6967	389	4	dependent	dependent	ADJ
ejpam-6967	389	5	,	,	PUNCT
ejpam-6967	389	6	adaptive	adaptive	ADJ
ejpam-6967	389	7	allocation	allocation	NOUN
ejpam-6967	389	8	of	of	ADP
ejpam-6967	389	9	resources	resource	NOUN
ejpam-6967	389	10	exemplifies	exemplify	VERB
ejpam-6967	389	11	a	a	DET
ejpam-6967	389	12	cost	cost	NOUN
ejpam-6967	389	13	-	-	PUNCT
ejpam-6967	389	14	effective	effective	ADJ
ejpam-6967	389	15	strategy	strategy	NOUN
ejpam-6967	389	16	that	that	PRON
ejpam-6967	389	17	aligns	align	VERB
ejpam-6967	389	18	with	with	ADP
ejpam-6967	389	19	the	the	DET
ejpam-6967	389	20	theoretical	theoretical	ADJ
ejpam-6967	389	21	solution	solution	NOUN
ejpam-6967	389	22	from	from	ADP
ejpam-6967	389	23	pontryagin	pontryagin	NOUN
ejpam-6967	389	24	’s	’s	PART
ejpam-6967	389	25	maximum	maximum	ADJ
ejpam-6967	389	26	principle	principle	NOUN
ejpam-6967	389	27	.	.	PUNCT
ejpam-6967	390	1	0	0	NUM
ejpam-6967	390	2	10	10	NUM
ejpam-6967	390	3	20	20	NUM
ejpam-6967	390	4	30	30	NUM
ejpam-6967	390	5	40	40	NUM
ejpam-6967	390	6	50	50	NUM
ejpam-6967	390	7	60	60	NUM
ejpam-6967	390	8	70	70	NUM
ejpam-6967	390	9	80	80	NUM
ejpam-6967	390	10	90	90	NUM
ejpam-6967	390	11	100	100	NUM
ejpam-6967	390	12	time	time	NOUN
ejpam-6967	390	13	(	(	PUNCT
ejpam-6967	390	14	days	day	NOUN
ejpam-6967	390	15	)	)	PUNCT
ejpam-6967	390	16	0	0	NUM
ejpam-6967	390	17	0.1	0.1	NUM
ejpam-6967	390	18	0.2	0.2	NUM
ejpam-6967	390	19	0.3	0.3	NUM
ejpam-6967	390	20	0.4	0.4	NUM
ejpam-6967	390	21	0.5	0.5	NUM
ejpam-6967	390	22	0.6	0.6	NUM
ejpam-6967	390	23	0.7	0.7	NUM
ejpam-6967	390	24	0.8	0.8	NUM
ejpam-6967	390	25	0.9	0.9	NUM
ejpam-6967	390	26	1	1	NUM
ejpam-6967	390	27	c	c	NOUN
ejpam-6967	390	28	o	o	NOUN
ejpam-6967	390	29	n	n	DET
ejpam-6967	390	30	tr	tr	NOUN
ejpam-6967	390	31	o	o	NOUN
ejpam-6967	390	32	l	l	NOUN
ejpam-6967	390	33	e	e	NOUN
ejpam-6967	390	34	ff	ff	NOUN
ejpam-6967	390	35	o	o	X
ejpam-6967	390	36	rt	rt	PROPN
ejpam-6967	390	37	optimal	optimal	ADJ
ejpam-6967	390	38	control	control	NOUN
ejpam-6967	390	39	strategies	strategy	NOUN
ejpam-6967	390	40	u1	u1	NOUN
ejpam-6967	390	41	:	:	PUNCT
ejpam-6967	390	42	removable	removable	ADJ
ejpam-6967	390	43	media	medium	NOUN
ejpam-6967	390	44	protection	protection	NOUN
ejpam-6967	390	45	u2	u2	PROPN
ejpam-6967	390	46	:	:	PUNCT
ejpam-6967	390	47	enhanced	enhance	VERB
ejpam-6967	390	48	quarantine	quarantine	NOUN
ejpam-6967	390	49	u3	u3	PROPN
ejpam-6967	390	50	:	:	PUNCT
ejpam-6967	390	51	enhanced	enhance	VERB
ejpam-6967	390	52	recovery	recovery	NOUN
ejpam-6967	390	53	figure	figure	NOUN
ejpam-6967	390	54	7	7	NUM
ejpam-6967	390	55	:	:	PUNCT
ejpam-6967	390	56	optimal	optimal	ADJ
ejpam-6967	390	57	control	control	NOUN
ejpam-6967	390	58	profiles	profile	NOUN
ejpam-6967	390	59	fig	fig	NOUN
ejpam-6967	390	60	.	.	PUNCT
ejpam-6967	391	1	(	(	PUNCT
ejpam-6967	391	2	8)	8)	NUM
ejpam-6967	391	3	provides	provide	VERB
ejpam-6967	391	4	a	a	DET
ejpam-6967	391	5	bar	bar	NOUN
ejpam-6967	391	6	chart	chart	NOUN
ejpam-6967	391	7	analysis	analysis	NOUN
ejpam-6967	391	8	quantifying	quantify	VERB
ejpam-6967	391	9	the	the	DET
ejpam-6967	391	10	percentage	percentage	NOUN
ejpam-6967	391	11	improvement	improvement	NOUN
ejpam-6967	391	12	achieved	achieve	VERB
ejpam-6967	391	13	by	by	ADP
ejpam-6967	391	14	the	the	DET
ejpam-6967	391	15	optimal	optimal	ADJ
ejpam-6967	391	16	control	control	NOUN
ejpam-6967	391	17	strategy	strategy	NOUN
ejpam-6967	391	18	.	.	PUNCT
ejpam-6967	392	1	the	the	DET
ejpam-6967	392	2	results	result	NOUN
ejpam-6967	392	3	,	,	PUNCT
ejpam-6967	392	4	derived	derive	VERB
ejpam-6967	392	5	from	from	ADP
ejpam-6967	392	6	the	the	DET
ejpam-6967	392	7	data	datum	NOUN
ejpam-6967	392	8	in	in	ADP
ejpam-6967	392	9	table	table	NOUN
ejpam-6967	392	10	2	2	NUM
ejpam-6967	392	11	,	,	PUNCT
ejpam-6967	392	12	offer	offer	VERB
ejpam-6967	392	13	a	a	DET
ejpam-6967	392	14	clear	clear	ADJ
ejpam-6967	392	15	and	and	CCONJ
ejpam-6967	392	16	concise	concise	ADJ
ejpam-6967	392	17	summary	summary	NOUN
ejpam-6967	392	18	of	of	ADP
ejpam-6967	392	19	the	the	DET
ejpam-6967	392	20	intervention	intervention	NOUN
ejpam-6967	392	21	’s	’s	PART
ejpam-6967	392	22	success	success	NOUN
ejpam-6967	392	23	.	.	PUNCT
ejpam-6967	393	1	the	the	DET
ejpam-6967	393	2	strategy	strategy	NOUN
ejpam-6967	393	3	yields	yield	VERB
ejpam-6967	393	4	a	a	DET
ejpam-6967	393	5	35.7	35.7	NUM
ejpam-6967	393	6	%	%	NOUN
ejpam-6967	393	7	reduction	reduction	NOUN
ejpam-6967	393	8	in	in	ADP
ejpam-6967	393	9	the	the	DET
ejpam-6967	393	10	maximum	maximum	ADJ
ejpam-6967	393	11	number	number	NOUN
ejpam-6967	393	12	of	of	ADP
ejpam-6967	393	13	simultaneously	simultaneously	ADV
ejpam-6967	393	14	infected	infect	VERB
ejpam-6967	393	15	computers	computer	NOUN
ejpam-6967	393	16	,	,	PUNCT
ejpam-6967	393	17	directly	directly	ADV
ejpam-6967	393	18	translating	translate	VERB
ejpam-6967	393	19	to	to	PART
ejpam-6967	393	20	reduced	reduce	VERB
ejpam-6967	393	21	operational	operational	ADJ
ejpam-6967	393	22	disruption	disruption	NOUN
ejpam-6967	393	23	.	.	PUNCT
ejpam-6967	394	1	furthermore	furthermore	ADV
ejpam-6967	394	2	,	,	PUNCT
ejpam-6967	394	3	it	it	PRON
ejpam-6967	394	4	facilitates	facilitate	VERB
ejpam-6967	394	5	a	a	DET
ejpam-6967	394	6	62.5	62.5	NUM
ejpam-6967	394	7	%	%	NOUN
ejpam-6967	394	8	increase	increase	NOUN
ejpam-6967	394	9	in	in	ADP
ejpam-6967	394	10	the	the	DET
ejpam-6967	394	11	number	number	NOUN
ejpam-6967	394	12	of	of	ADP
ejpam-6967	394	13	systems	system	NOUN
ejpam-6967	394	14	successfully	successfully	ADV
ejpam-6967	394	15	recovered	recover	VERB
ejpam-6967	394	16	and	and	CCONJ
ejpam-6967	394	17	returned	return	VERB
ejpam-6967	394	18	to	to	ADP
ejpam-6967	394	19	service	service	NOUN
ejpam-6967	394	20	,	,	PUNCT
ejpam-6967	394	21	enhancing	enhance	VERB
ejpam-6967	394	22	network	network	NOUN
ejpam-6967	394	23	resilience	resilience	NOUN
ejpam-6967	394	24	.	.	PUNCT
ejpam-6967	395	1	most	most	ADV
ejpam-6967	395	2	importantly	importantly	ADV
ejpam-6967	395	3	,	,	PUNCT
ejpam-6967	395	4	it	it	PRON
ejpam-6967	395	5	achieves	achieve	VERB
ejpam-6967	395	6	a	a	DET
ejpam-6967	395	7	45.8	45.8	NUM
ejpam-6967	395	8	%	%	NOUN
ejpam-6967	395	9	reduction	reduction	NOUN
ejpam-6967	395	10	in	in	ADP
ejpam-6967	395	11	the	the	DET
ejpam-6967	395	12	number	number	NOUN
ejpam-6967	395	13	of	of	ADP
ejpam-6967	395	14	systems	system	NOUN
ejpam-6967	395	15	permanently	permanently	ADV
ejpam-6967	395	16	deactivated	deactivate	VERB
ejpam-6967	395	17	due	due	ADP
ejpam-6967	395	18	to	to	ADP
ejpam-6967	395	19	severe	severe	ADJ
ejpam-6967	395	20	infection	infection	NOUN
ejpam-6967	395	21	,	,	PUNCT
ejpam-6967	395	22	representing	represent	VERB
ejpam-6967	395	23	significant	significant	ADJ
ejpam-6967	395	24	cost	cost	NOUN
ejpam-6967	395	25	savings	saving	NOUN
ejpam-6967	395	26	by	by	ADP
ejpam-6967	395	27	avoiding	avoid	VERB
ejpam-6967	395	28	the	the	DET
ejpam-6967	395	29	total	total	ADJ
ejpam-6967	395	30	loss	loss	NOUN
ejpam-6967	395	31	of	of	ADP
ejpam-6967	395	32	critical	critical	ADJ
ejpam-6967	395	33	assets	asset	NOUN
ejpam-6967	395	34	.	.	PUNCT
ejpam-6967	396	1	this	this	DET
ejpam-6967	396	2	tri	tri	ADJ
ejpam-6967	396	3	-	-	ADJ
ejpam-6967	396	4	fold	fold	ADJ
ejpam-6967	396	5	improvement	improvement	NOUN
ejpam-6967	396	6	underscores	underscore	VERB
ejpam-6967	396	7	the	the	DET
ejpam-6967	396	8	practical	practical	ADJ
ejpam-6967	396	9	value	value	NOUN
ejpam-6967	396	10	of	of	ADP
ejpam-6967	396	11	the	the	DET
ejpam-6967	396	12	proposed	propose	VERB
ejpam-6967	396	13	optimal	optimal	ADJ
ejpam-6967	396	14	control	control	NOUN
ejpam-6967	396	15	framework	framework	NOUN
ejpam-6967	396	16	for	for	ADP
ejpam-6967	396	17	cybersecurity	cybersecurity	NOUN
ejpam-6967	396	18	resource	resource	NOUN
ejpam-6967	396	19	allocation	allocation	NOUN
ejpam-6967	396	20	.	.	PUNCT
ejpam-6967	397	1	g.	g.	PROPN
ejpam-6967	397	2	ali	ali	PROPN
ejpam-6967	397	3	et	et	PROPN
ejpam-6967	397	4	al	al	PROPN
ejpam-6967	397	5	.	.	PUNCT
ejpam-6967	397	6	/	/	SYM
ejpam-6967	397	7	eur	eur	PROPN
ejpam-6967	397	8	.	.	PUNCT
ejpam-6967	398	1	j.	j.	PROPN
ejpam-6967	398	2	pure	pure	PROPN
ejpam-6967	398	3	appl	appl	PROPN
ejpam-6967	398	4	.	.	PROPN
ejpam-6967	398	5	math	math	PROPN
ejpam-6967	398	6	,	,	PUNCT
ejpam-6967	398	7	18	18	NUM
ejpam-6967	398	8	(	(	PUNCT
ejpam-6967	398	9	4	4	NUM
ejpam-6967	398	10	)	)	PUNCT
ejpam-6967	398	11	(	(	PUNCT
ejpam-6967	398	12	2025	2025	NUM
ejpam-6967	398	13	)	)	PUNCT
ejpam-6967	398	14	,	,	PUNCT
ejpam-6967	398	15	6967	6967	NUM
ejpam-6967	398	16	23	23	NUM
ejpam-6967	398	17	of	of	ADP
ejpam-6967	398	18	29	29	NUM
ejpam-6967	398	19	effectiveness	effectiveness	NOUN
ejpam-6967	398	20	of	of	ADP
ejpam-6967	398	21	optimal	optimal	ADJ
ejpam-6967	398	22	control	control	NOUN
ejpam-6967	398	23	strategies	strategy	NOUN
ejpam-6967	398	24	peak	peak	NOUN
ejpam-6967	398	25	infections	infection	NOUN
ejpam-6967	398	26	final	final	ADJ
ejpam-6967	398	27	recovered	recovered	ADJ
ejpam-6967	398	28	final	final	ADJ
ejpam-6967	398	29	deactivated	deactivate	VERB
ejpam-6967	398	30	0	0	NUM
ejpam-6967	398	31	50	50	NUM
ejpam-6967	398	32	100	100	NUM
ejpam-6967	398	33	150	150	NUM
ejpam-6967	398	34	200	200	NUM
ejpam-6967	398	35	250	250	NUM
ejpam-6967	398	36	300	300	NUM
ejpam-6967	398	37	n	n	NUM
ejpam-6967	398	38	u	u	NOUN
ejpam-6967	398	39	m	m	NOUN
ejpam-6967	398	40	b	b	PROPN
ejpam-6967	398	41	e	e	NOUN
ejpam-6967	399	1	r	r	NOUN
ejpam-6967	400	1	o	o	X
ejpam-6967	401	1	f	f	X
ejpam-6967	402	1	c	c	NOUN
ejpam-6967	402	2	o	o	NOUN
ejpam-6967	403	1	m	m	VERB
ejpam-6967	403	2	p	p	X
ejpam-6967	403	3	u	u	X
ejpam-6967	403	4	te	te	INTJ
ejpam-6967	403	5	rs	r	NOUN
ejpam-6967	403	6	without	without	ADP
ejpam-6967	403	7	control	control	NOUN
ejpam-6967	403	8	with	with	ADP
ejpam-6967	403	9	optimal	optimal	ADJ
ejpam-6967	403	10	control	control	NOUN
ejpam-6967	403	11	figure	figure	NOUN
ejpam-6967	403	12	8	8	NUM
ejpam-6967	403	13	:	:	PUNCT
ejpam-6967	403	14	quantitative	quantitative	ADJ
ejpam-6967	403	15	effectiveness	effectiveness	NOUN
ejpam-6967	403	16	assessment	assessment	NOUN
ejpam-6967	403	17	fig	fig	NOUN
ejpam-6967	403	18	.	.	PUNCT
ejpam-6967	404	1	(	(	PUNCT
ejpam-6967	404	2	9	9	X
ejpam-6967	404	3	)	)	PUNCT
ejpam-6967	404	4	synthesizes	synthesize	VERB
ejpam-6967	404	5	the	the	DET
ejpam-6967	404	6	key	key	ADJ
ejpam-6967	404	7	results	result	NOUN
ejpam-6967	404	8	of	of	ADP
ejpam-6967	404	9	the	the	DET
ejpam-6967	404	10	optimal	optimal	ADJ
ejpam-6967	404	11	control	control	NOUN
ejpam-6967	404	12	simulation	simulation	NOUN
ejpam-6967	404	13	,	,	PUNCT
ejpam-6967	404	14	quantifying	quantify	VERB
ejpam-6967	404	15	the	the	DET
ejpam-6967	404	16	percentage	percentage	NOUN
ejpam-6967	404	17	improvement	improvement	NOUN
ejpam-6967	404	18	achieved	achieve	VERB
ejpam-6967	404	19	by	by	ADP
ejpam-6967	404	20	the	the	DET
ejpam-6967	404	21	strategy	strategy	NOUN
ejpam-6967	404	22	u∗	u∗	NOUN
ejpam-6967	405	1	=	=	PUNCT
ejpam-6967	405	2	(	(	PUNCT
ejpam-6967	405	3	u∗1	u∗1	PROPN
ejpam-6967	405	4	,	,	PUNCT
ejpam-6967	405	5	u	u	NOUN
ejpam-6967	405	6	∗	∗	NOUN
ejpam-6967	405	7	2	2	NUM
ejpam-6967	405	8	,	,	PUNCT
ejpam-6967	405	9	u	u	NOUN
ejpam-6967	405	10	∗	∗	NOUN
ejpam-6967	405	11	3	3	NUM
ejpam-6967	405	12	)	)	PUNCT
ejpam-6967	405	13	over	over	ADP
ejpam-6967	405	14	the	the	DET
ejpam-6967	405	15	uncontrolled	uncontrolled	ADJ
ejpam-6967	405	16	baseline	baseline	NOUN
ejpam-6967	405	17	scenario	scenario	NOUN
ejpam-6967	405	18	.	.	PUNCT
ejpam-6967	406	1	the	the	DET
ejpam-6967	406	2	bars	bar	NOUN
ejpam-6967	406	3	demonstrate	demonstrate	VERB
ejpam-6967	406	4	a	a	DET
ejpam-6967	406	5	significant	significant	ADJ
ejpam-6967	406	6	reduction	reduction	NOUN
ejpam-6967	406	7	in	in	ADP
ejpam-6967	406	8	the	the	DET
ejpam-6967	406	9	peak	peak	NOUN
ejpam-6967	406	10	infection	infection	NOUN
ejpam-6967	406	11	burden	burden	NOUN
ejpam-6967	406	12	(	(	PUNCT
ejpam-6967	406	13	∼34.5	∼34.5	NOUN
ejpam-6967	406	14	%	%	NOUN
ejpam-6967	406	15	)	)	PUNCT
ejpam-6967	406	16	and	and	CCONJ
ejpam-6967	406	17	final	final	ADJ
ejpam-6967	406	18	system	system	NOUN
ejpam-6967	406	19	deactivation	deactivation	NOUN
ejpam-6967	406	20	(	(	PUNCT
ejpam-6967	406	21	∼27.9	∼27.9	ADJ
ejpam-6967	406	22	%	%	NOUN
ejpam-6967	406	23	)	)	PUNCT
ejpam-6967	406	24	,	,	PUNCT
ejpam-6967	406	25	alongside	alongside	ADP
ejpam-6967	406	26	a	a	DET
ejpam-6967	406	27	substantial	substantial	ADJ
ejpam-6967	406	28	increase	increase	NOUN
ejpam-6967	406	29	(	(	PUNCT
ejpam-6967	406	30	∼5.2	∼5.2	NOUN
ejpam-6967	406	31	%	%	NOUN
ejpam-6967	406	32	)	)	PUNCT
ejpam-6967	406	33	in	in	ADP
ejpam-6967	406	34	successfully	successfully	ADV
ejpam-6967	406	35	recovered	recover	VERB
ejpam-6967	406	36	systems	system	NOUN
ejpam-6967	406	37	.	.	PUNCT
ejpam-6967	407	1	this	this	DET
ejpam-6967	407	2	tri	tri	ADJ
ejpam-6967	407	3	-	-	ADJ
ejpam-6967	407	4	fold	fold	ADJ
ejpam-6967	407	5	improvement	improvement	NOUN
ejpam-6967	407	6	underscores	underscore	VERB
ejpam-6967	407	7	the	the	DET
ejpam-6967	407	8	practical	practical	ADJ
ejpam-6967	407	9	value	value	NOUN
ejpam-6967	407	10	of	of	ADP
ejpam-6967	407	11	the	the	DET
ejpam-6967	407	12	proposed	propose	VERB
ejpam-6967	407	13	dynamic	dynamic	ADJ
ejpam-6967	407	14	resource	resource	NOUN
ejpam-6967	407	15	allocation	allocation	NOUN
ejpam-6967	407	16	framework	framework	NOUN
ejpam-6967	407	17	for	for	ADP
ejpam-6967	407	18	minimizing	minimize	VERB
ejpam-6967	407	19	the	the	DET
ejpam-6967	407	20	operational	operational	ADJ
ejpam-6967	407	21	and	and	CCONJ
ejpam-6967	407	22	financial	financial	ADJ
ejpam-6967	407	23	damage	damage	NOUN
ejpam-6967	407	24	of	of	ADP
ejpam-6967	407	25	a	a	DET
ejpam-6967	407	26	cyber	cyber	NOUN
ejpam-6967	407	27	outbreak	outbreak	NOUN
ejpam-6967	407	28	.	.	PUNCT
ejpam-6967	408	1	g.	g.	PROPN
ejpam-6967	408	2	ali	ali	PROPN
ejpam-6967	408	3	et	et	PROPN
ejpam-6967	408	4	al	al	PROPN
ejpam-6967	408	5	.	.	PUNCT
ejpam-6967	408	6	/	/	SYM
ejpam-6967	408	7	eur	eur	PROPN
ejpam-6967	408	8	.	.	PUNCT
ejpam-6967	409	1	j.	j.	PROPN
ejpam-6967	409	2	pure	pure	PROPN
ejpam-6967	409	3	appl	appl	PROPN
ejpam-6967	409	4	.	.	PROPN
ejpam-6967	409	5	math	math	PROPN
ejpam-6967	409	6	,	,	PUNCT
ejpam-6967	409	7	18	18	NUM
ejpam-6967	409	8	(	(	PUNCT
ejpam-6967	409	9	4	4	NUM
ejpam-6967	409	10	)	)	PUNCT
ejpam-6967	409	11	(	(	PUNCT
ejpam-6967	409	12	2025	2025	NUM
ejpam-6967	409	13	)	)	PUNCT
ejpam-6967	409	14	,	,	PUNCT
ejpam-6967	409	15	6967	6967	NUM
ejpam-6967	409	16	24	24	NUM
ejpam-6967	409	17	of	of	ADP
ejpam-6967	409	18	29	29	NUM
ejpam-6967	409	19	percentage	percentage	NOUN
ejpam-6967	409	20	improvement	improvement	NOUN
ejpam-6967	409	21	with	with	ADP
ejpam-6967	409	22	optimal	optimal	ADJ
ejpam-6967	409	23	control34.5	control34.5	PROPN
ejpam-6967	409	24	%	%	NOUN
ejpam-6967	409	25	5.2	5.2	NUM
ejpam-6967	409	26	%	%	NOUN
ejpam-6967	409	27	27.9	27.9	NUM
ejpam-6967	409	28	%	%	NOUN
ejpam-6967	409	29	reduction	reduction	NOUN
ejpam-6967	409	30	in	in	ADP
ejpam-6967	409	31	peak	peak	NOUN
ejpam-6967	409	32	infections	infection	NOUN
ejpam-6967	409	33	increase	increase	VERB
ejpam-6967	409	34	in	in	ADP
ejpam-6967	409	35	recovery	recovery	NOUN
ejpam-6967	409	36	reduction	reduction	NOUN
ejpam-6967	409	37	in	in	ADP
ejpam-6967	409	38	deactivation	deactivation	NOUN
ejpam-6967	409	39	0	0	NUM
ejpam-6967	409	40	5	5	NUM
ejpam-6967	409	41	10	10	NUM
ejpam-6967	409	42	15	15	NUM
ejpam-6967	409	43	20	20	NUM
ejpam-6967	409	44	25	25	NUM
ejpam-6967	409	45	30	30	NUM
ejpam-6967	409	46	35	35	NUM
ejpam-6967	409	47	p	p	NOUN
ejpam-6967	409	48	e	e	PROPN
ejpam-6967	409	49	rc	rc	PROPN
ejpam-6967	409	50	e	e	PROPN
ejpam-6967	409	51	n	n	NOUN
ejpam-6967	409	52	ta	ta	X
ejpam-6967	409	53	g	g	PROPN
ejpam-6967	409	54	e	e	PROPN
ejpam-6967	410	1	i	i	PRON
ejpam-6967	410	2	m	m	VERB
ejpam-6967	410	3	p	p	VERB
ejpam-6967	410	4	ro	ro	X
ejpam-6967	410	5	v	v	ADP
ejpam-6967	410	6	e	e	X
ejpam-6967	410	7	m	m	NOUN
ejpam-6967	410	8	e	e	NOUN
ejpam-6967	410	9	n	n	PROPN
ejpam-6967	410	10	t	t	PROPN
ejpam-6967	410	11	(	(	PUNCT
ejpam-6967	410	12	%	%	NOUN
ejpam-6967	410	13	)	)	PUNCT
ejpam-6967	410	14	figure	figure	NOUN
ejpam-6967	410	15	9	9	NUM
ejpam-6967	410	16	:	:	PUNCT
ejpam-6967	410	17	percentage	percentage	NOUN
ejpam-6967	410	18	improvement	improvement	NOUN
ejpam-6967	410	19	with	with	ADP
ejpam-6967	410	20	optimal	optimal	ADJ
ejpam-6967	410	21	control	control	NOUN
ejpam-6967	410	22	4	4	NUM
ejpam-6967	410	23	.	.	PUNCT
ejpam-6967	410	24	discussion	discussion	NOUN
ejpam-6967	410	25	this	this	DET
ejpam-6967	410	26	study	study	NOUN
ejpam-6967	410	27	has	have	AUX
ejpam-6967	410	28	developed	develop	VERB
ejpam-6967	410	29	and	and	CCONJ
ejpam-6967	410	30	analyzed	analyze	VERB
ejpam-6967	410	31	a	a	DET
ejpam-6967	410	32	novel	novel	ADJ
ejpam-6967	410	33	six	six	NUM
ejpam-6967	410	34	-	-	PUNCT
ejpam-6967	410	35	compartment	compartment	NOUN
ejpam-6967	410	36	slaqrd	slaqrd	NOUN
ejpam-6967	410	37	model	model	NOUN
ejpam-6967	410	38	to	to	PART
ejpam-6967	410	39	investigate	investigate	VERB
ejpam-6967	410	40	the	the	DET
ejpam-6967	410	41	propagation	propagation	NOUN
ejpam-6967	410	42	dynamics	dynamic	NOUN
ejpam-6967	410	43	of	of	ADP
ejpam-6967	410	44	computer	computer	NOUN
ejpam-6967	410	45	viruses	virus	NOUN
ejpam-6967	410	46	,	,	PUNCT
ejpam-6967	410	47	with	with	ADP
ejpam-6967	410	48	a	a	DET
ejpam-6967	410	49	specific	specific	ADJ
ejpam-6967	410	50	emphasis	emphasis	NOUN
ejpam-6967	410	51	on	on	ADP
ejpam-6967	410	52	the	the	DET
ejpam-6967	410	53	critical	critical	ADJ
ejpam-6967	410	54	and	and	CCONJ
ejpam-6967	410	55	often	often	ADV
ejpam-6967	410	56	overlooked	overlook	VERB
ejpam-6967	410	57	role	role	NOUN
ejpam-6967	410	58	of	of	ADP
ejpam-6967	410	59	removable	removable	ADJ
ejpam-6967	410	60	media	medium	NOUN
ejpam-6967	410	61	as	as	ADP
ejpam-6967	410	62	a	a	DET
ejpam-6967	410	63	transmission	transmission	NOUN
ejpam-6967	410	64	vector	vector	NOUN
ejpam-6967	410	65	.	.	PUNCT
ejpam-6967	411	1	the	the	DET
ejpam-6967	411	2	model	model	NOUN
ejpam-6967	411	3	integrates	integrate	VERB
ejpam-6967	411	4	realistic	realistic	ADJ
ejpam-6967	411	5	cybersecurity	cybersecurity	NOUN
ejpam-6967	411	6	features	feature	NOUN
ejpam-6967	411	7	,	,	PUNCT
ejpam-6967	411	8	including	include	VERB
ejpam-6967	411	9	latent	latent	NOUN
ejpam-6967	411	10	infections	infection	NOUN
ejpam-6967	411	11	,	,	PUNCT
ejpam-6967	411	12	automated	automate	VERB
ejpam-6967	411	13	quarantine	quarantine	NOUN
ejpam-6967	411	14	,	,	PUNCT
ejpam-6967	411	15	system	system	NOUN
ejpam-6967	411	16	recovery	recovery	NOUN
ejpam-6967	411	17	,	,	PUNCT
ejpam-6967	411	18	and	and	CCONJ
ejpam-6967	411	19	the	the	DET
ejpam-6967	411	20	permanent	permanent	ADJ
ejpam-6967	411	21	deactivation	deactivation	NOUN
ejpam-6967	411	22	of	of	ADP
ejpam-6967	411	23	critically	critically	ADV
ejpam-6967	411	24	compromised	compromise	VERB
ejpam-6967	411	25	machines	machine	NOUN
ejpam-6967	411	26	.	.	PUNCT
ejpam-6967	412	1	the	the	DET
ejpam-6967	412	2	mathematical	mathematical	ADJ
ejpam-6967	412	3	analysis	analysis	NOUN
ejpam-6967	412	4	established	establish	VERB
ejpam-6967	412	5	the	the	DET
ejpam-6967	412	6	model	model	NOUN
ejpam-6967	412	7	’s	’s	PART
ejpam-6967	412	8	well	well	NOUN
ejpam-6967	412	9	-	-	PUNCT
ejpam-6967	412	10	posedness	posedness	NOUN
ejpam-6967	412	11	,	,	PUNCT
ejpam-6967	412	12	derived	derive	VERB
ejpam-6967	412	13	the	the	DET
ejpam-6967	412	14	basic	basic	ADJ
ejpam-6967	412	15	reproduction	reproduction	NOUN
ejpam-6967	412	16	number	number	NOUN
ejpam-6967	412	17	r0	r0	NOUN
ejpam-6967	412	18	as	as	ADP
ejpam-6967	412	19	an	an	DET
ejpam-6967	412	20	outbreak	outbreak	NOUN
ejpam-6967	412	21	threshold	threshold	NOUN
ejpam-6967	412	22	,	,	PUNCT
ejpam-6967	412	23	and	and	CCONJ
ejpam-6967	412	24	characterized	characterize	VERB
ejpam-6967	412	25	equilibrium	equilibrium	NOUN
ejpam-6967	412	26	states	state	NOUN
ejpam-6967	412	27	.	.	PUNCT
ejpam-6967	413	1	furthermore	furthermore	ADV
ejpam-6967	413	2	,	,	PUNCT
ejpam-6967	413	3	an	an	DET
ejpam-6967	413	4	optimal	optimal	ADJ
ejpam-6967	413	5	control	control	NOUN
ejpam-6967	413	6	framework	framework	NOUN
ejpam-6967	413	7	was	be	AUX
ejpam-6967	413	8	formulated	formulate	VERB
ejpam-6967	413	9	to	to	PART
ejpam-6967	413	10	identify	identify	VERB
ejpam-6967	413	11	dynamic	dynamic	ADJ
ejpam-6967	413	12	,	,	PUNCT
ejpam-6967	413	13	cost	cost	NOUN
ejpam-6967	413	14	-	-	PUNCT
ejpam-6967	413	15	effective	effective	ADJ
ejpam-6967	413	16	intervention	intervention	NOUN
ejpam-6967	413	17	strategies	strategy	NOUN
ejpam-6967	413	18	.	.	PUNCT
ejpam-6967	414	1	the	the	DET
ejpam-6967	414	2	numerical	numerical	ADJ
ejpam-6967	414	3	simulations	simulation	NOUN
ejpam-6967	414	4	yielded	yield	VERB
ejpam-6967	414	5	several	several	ADJ
ejpam-6967	414	6	pivotal	pivotal	ADJ
ejpam-6967	414	7	insights	insight	NOUN
ejpam-6967	414	8	.	.	PUNCT
ejpam-6967	415	1	first	first	ADV
ejpam-6967	415	2	,	,	PUNCT
ejpam-6967	415	3	the	the	DET
ejpam-6967	415	4	phase	phase	NOUN
ejpam-6967	415	5	portrait	portrait	NOUN
ejpam-6967	415	6	analysis	analysis	NOUN
ejpam-6967	415	7	revealed	reveal	VERB
ejpam-6967	415	8	complex	complex	ADJ
ejpam-6967	415	9	system	system	NOUN
ejpam-6967	415	10	behaviors	behavior	NOUN
ejpam-6967	415	11	,	,	PUNCT
ejpam-6967	415	12	including	include	VERB
ejpam-6967	415	13	stable	stable	ADJ
ejpam-6967	415	14	foci	focus	NOUN
ejpam-6967	415	15	and	and	CCONJ
ejpam-6967	415	16	saddle	saddle	NOUN
ejpam-6967	415	17	points	point	NOUN
ejpam-6967	415	18	,	,	PUNCT
ejpam-6967	415	19	underscoring	underscore	VERB
ejpam-6967	415	20	the	the	DET
ejpam-6967	415	21	non	non	ADJ
ejpam-6967	415	22	-	-	ADJ
ejpam-6967	415	23	linear	linear	ADJ
ejpam-6967	415	24	and	and	CCONJ
ejpam-6967	415	25	sensitive	sensitive	ADJ
ejpam-6967	415	26	nature	nature	NOUN
ejpam-6967	415	27	of	of	ADP
ejpam-6967	415	28	virus	virus	NOUN
ejpam-6967	415	29	spread	spread	VERB
ejpam-6967	415	30	.	.	PUNCT
ejpam-6967	416	1	this	this	DET
ejpam-6967	416	2	sensitivity	sensitivity	NOUN
ejpam-6967	416	3	highlights	highlight	NOUN
ejpam-6967	416	4	that	that	SCONJ
ejpam-6967	416	5	minor	minor	ADJ
ejpam-6967	416	6	changes	change	NOUN
ejpam-6967	416	7	in	in	ADP
ejpam-6967	416	8	initial	initial	ADJ
ejpam-6967	416	9	conditions	condition	NOUN
ejpam-6967	416	10	or	or	CCONJ
ejpam-6967	416	11	parameters	parameter	NOUN
ejpam-6967	416	12	can	can	AUX
ejpam-6967	416	13	lead	lead	VERB
ejpam-6967	416	14	to	to	ADP
ejpam-6967	416	15	drastically	drastically	ADV
ejpam-6967	416	16	different	different	ADJ
ejpam-6967	416	17	outcomes	outcome	NOUN
ejpam-6967	416	18	,	,	PUNCT
ejpam-6967	416	19	g.	g.	PROPN
ejpam-6967	416	20	ali	ali	PROPN
ejpam-6967	416	21	et	et	PROPN
ejpam-6967	416	22	al	al	PROPN
ejpam-6967	416	23	.	.	PUNCT
ejpam-6967	416	24	/	/	SYM
ejpam-6967	416	25	eur	eur	PROPN
ejpam-6967	416	26	.	.	PUNCT
ejpam-6967	417	1	j.	j.	PROPN
ejpam-6967	417	2	pure	pure	PROPN
ejpam-6967	417	3	appl	appl	PROPN
ejpam-6967	417	4	.	.	PROPN
ejpam-6967	417	5	math	math	PROPN
ejpam-6967	417	6	,	,	PUNCT
ejpam-6967	417	7	18	18	NUM
ejpam-6967	417	8	(	(	PUNCT
ejpam-6967	417	9	4	4	NUM
ejpam-6967	417	10	)	)	PUNCT
ejpam-6967	417	11	(	(	PUNCT
ejpam-6967	417	12	2025	2025	NUM
ejpam-6967	417	13	)	)	PUNCT
ejpam-6967	417	14	,	,	PUNCT
ejpam-6967	417	15	6967	6967	NUM
ejpam-6967	417	16	25	25	NUM
ejpam-6967	417	17	of	of	ADP
ejpam-6967	417	18	29	29	NUM
ejpam-6967	417	19	reinforcing	reinforce	VERB
ejpam-6967	417	20	the	the	DET
ejpam-6967	417	21	need	need	NOUN
ejpam-6967	417	22	for	for	ADP
ejpam-6967	417	23	proactive	proactive	ADJ
ejpam-6967	417	24	monitoring	monitoring	NOUN
ejpam-6967	417	25	.	.	PUNCT
ejpam-6967	418	1	second	second	ADJ
ejpam-6967	418	2	,	,	PUNCT
ejpam-6967	418	3	the	the	DET
ejpam-6967	418	4	simulations	simulation	NOUN
ejpam-6967	418	5	robustly	robustly	ADV
ejpam-6967	418	6	validated	validate	VERB
ejpam-6967	418	7	the	the	DET
ejpam-6967	418	8	theoretical	theoretical	ADJ
ejpam-6967	418	9	stability	stability	NOUN
ejpam-6967	418	10	analysis	analysis	NOUN
ejpam-6967	418	11	;	;	PUNCT
ejpam-6967	418	12	the	the	DET
ejpam-6967	418	13	system	system	NOUN
ejpam-6967	418	14	consistently	consistently	ADV
ejpam-6967	418	15	converged	converge	VERB
ejpam-6967	418	16	to	to	ADP
ejpam-6967	418	17	the	the	DET
ejpam-6967	418	18	disease	disease	NOUN
ejpam-6967	418	19	-	-	PUNCT
ejpam-6967	418	20	free	free	ADJ
ejpam-6967	418	21	equilibrium	equilibrium	NOUN
ejpam-6967	418	22	when	when	SCONJ
ejpam-6967	418	23	r0	r0	NOUN
ejpam-6967	418	24	<	<	X
ejpam-6967	418	25	1	1	NUM
ejpam-6967	418	26	and	and	CCONJ
ejpam-6967	418	27	to	to	ADP
ejpam-6967	418	28	an	an	DET
ejpam-6967	418	29	endemic	endemic	ADJ
ejpam-6967	418	30	state	state	NOUN
ejpam-6967	418	31	when	when	SCONJ
ejpam-6967	418	32	r0	r0	NOUN
ejpam-6967	418	33	>	>	X
ejpam-6967	418	34	1	1	X
ejpam-6967	418	35	.	.	PUNCT
ejpam-6967	419	1	the	the	DET
ejpam-6967	419	2	parameter	parameter	NOUN
ejpam-6967	419	3	sensitivity	sensitivity	NOUN
ejpam-6967	419	4	analysis	analysis	NOUN
ejpam-6967	419	5	,	,	PUNCT
ejpam-6967	419	6	inherent	inherent	ADJ
ejpam-6967	419	7	in	in	ADP
ejpam-6967	419	8	these	these	DET
ejpam-6967	419	9	simulations	simulation	NOUN
ejpam-6967	419	10	,	,	PUNCT
ejpam-6967	419	11	clearly	clearly	ADV
ejpam-6967	419	12	identified	identify	VERB
ejpam-6967	419	13	the	the	DET
ejpam-6967	419	14	quarantine	quarantine	NOUN
ejpam-6967	419	15	rate	rate	NOUN
ejpam-6967	419	16	(	(	PUNCT
ejpam-6967	419	17	θ	θ	NOUN
ejpam-6967	419	18	)	)	PUNCT
ejpam-6967	419	19	and	and	CCONJ
ejpam-6967	419	20	the	the	DET
ejpam-6967	419	21	infection	infection	NOUN
ejpam-6967	419	22	rates	rate	NOUN
ejpam-6967	419	23	(	(	PUNCT
ejpam-6967	419	24	β1	β1	NOUN
ejpam-6967	419	25	,	,	PUNCT
ejpam-6967	419	26	β2	β2	PROPN
ejpam-6967	419	27	)	)	PUNCT
ejpam-6967	419	28	as	as	ADP
ejpam-6967	419	29	the	the	DET
ejpam-6967	419	30	most	most	ADV
ejpam-6967	419	31	influential	influential	ADJ
ejpam-6967	419	32	parameters	parameter	NOUN
ejpam-6967	419	33	on	on	ADP
ejpam-6967	419	34	r0	r0	NOUN
ejpam-6967	419	35	.	.	PUNCT
ejpam-6967	420	1	this	this	PRON
ejpam-6967	420	2	provides	provide	VERB
ejpam-6967	420	3	a	a	DET
ejpam-6967	420	4	quantitative	quantitative	ADJ
ejpam-6967	420	5	basis	basis	NOUN
ejpam-6967	420	6	for	for	ADP
ejpam-6967	420	7	cybersecurity	cybersecurity	NOUN
ejpam-6967	420	8	policy	policy	NOUN
ejpam-6967	420	9	,	,	PUNCT
ejpam-6967	420	10	suggesting	suggest	VERB
ejpam-6967	420	11	that	that	SCONJ
ejpam-6967	420	12	investments	investment	NOUN
ejpam-6967	420	13	in	in	ADP
ejpam-6967	420	14	intrusion	intrusion	NOUN
ejpam-6967	420	15	detection	detection	NOUN
ejpam-6967	420	16	systems	system	NOUN
ejpam-6967	420	17	(	(	PUNCT
ejpam-6967	420	18	to	to	PART
ejpam-6967	420	19	increase	increase	VERB
ejpam-6967	420	20	θ	θ	PROPN
ejpam-6967	420	21	)	)	PUNCT
ejpam-6967	420	22	and	and	CCONJ
ejpam-6967	420	23	user	user	NOUN
ejpam-6967	420	24	training	training	NOUN
ejpam-6967	420	25	to	to	PART
ejpam-6967	420	26	reduce	reduce	VERB
ejpam-6967	420	27	infection	infection	NOUN
ejpam-6967	420	28	risk	risk	NOUN
ejpam-6967	420	29	yield	yield	VERB
ejpam-6967	420	30	the	the	DET
ejpam-6967	420	31	highest	high	ADJ
ejpam-6967	420	32	return	return	NOUN
ejpam-6967	420	33	in	in	ADP
ejpam-6967	420	34	containing	contain	VERB
ejpam-6967	420	35	outbreaks	outbreak	NOUN
ejpam-6967	420	36	.	.	PUNCT
ejpam-6967	421	1	the	the	DET
ejpam-6967	421	2	most	most	ADV
ejpam-6967	421	3	significant	significant	ADJ
ejpam-6967	421	4	practical	practical	ADJ
ejpam-6967	421	5	contribution	contribution	NOUN
ejpam-6967	421	6	of	of	ADP
ejpam-6967	421	7	this	this	DET
ejpam-6967	421	8	work	work	NOUN
ejpam-6967	421	9	is	be	AUX
ejpam-6967	421	10	the	the	DET
ejpam-6967	421	11	formulation	formulation	NOUN
ejpam-6967	421	12	and	and	CCONJ
ejpam-6967	421	13	evaluation	evaluation	NOUN
ejpam-6967	421	14	of	of	ADP
ejpam-6967	421	15	an	an	DET
ejpam-6967	421	16	optimal	optimal	ADJ
ejpam-6967	421	17	control	control	NOUN
ejpam-6967	421	18	strategy	strategy	NOUN
ejpam-6967	421	19	.	.	PUNCT
ejpam-6967	422	1	the	the	DET
ejpam-6967	422	2	results	result	NOUN
ejpam-6967	422	3	demonstrate	demonstrate	VERB
ejpam-6967	422	4	that	that	SCONJ
ejpam-6967	422	5	a	a	DET
ejpam-6967	422	6	dynamic	dynamic	ADJ
ejpam-6967	422	7	approach	approach	NOUN
ejpam-6967	422	8	aggressively	aggressively	ADV
ejpam-6967	422	9	deploying	deploy	VERB
ejpam-6967	422	10	quarantine	quarantine	NOUN
ejpam-6967	422	11	(	(	PUNCT
ejpam-6967	422	12	u2(t	u2(t	NOUN
ejpam-6967	422	13	)	)	PUNCT
ejpam-6967	422	14	)	)	PUNCT
ejpam-6967	422	15	and	and	CCONJ
ejpam-6967	422	16	media	medium	NOUN
ejpam-6967	422	17	protection	protection	NOUN
ejpam-6967	422	18	(	(	PUNCT
ejpam-6967	422	19	u1(t	u1(t	PROPN
ejpam-6967	422	20	)	)	PUNCT
ejpam-6967	422	21	)	)	PUNCT
ejpam-6967	422	22	efforts	effort	NOUN
ejpam-6967	422	23	early	early	ADV
ejpam-6967	422	24	in	in	ADP
ejpam-6967	422	25	an	an	DET
ejpam-6967	422	26	outbreak	outbreak	NOUN
ejpam-6967	422	27	,	,	PUNCT
ejpam-6967	422	28	followed	follow	VERB
ejpam-6967	422	29	by	by	ADP
ejpam-6967	422	30	a	a	DET
ejpam-6967	422	31	strategic	strategic	ADJ
ejpam-6967	422	32	shift	shift	NOUN
ejpam-6967	422	33	towards	towards	ADP
ejpam-6967	422	34	enhanced	enhanced	ADJ
ejpam-6967	422	35	recovery	recovery	NOUN
ejpam-6967	422	36	(	(	PUNCT
ejpam-6967	422	37	u3(t	u3(t	PROPN
ejpam-6967	422	38	)	)	PUNCT
ejpam-6967	422	39	)	)	PUNCT
ejpam-6967	422	40	is	be	AUX
ejpam-6967	422	41	vastly	vastly	ADV
ejpam-6967	422	42	superior	superior	ADJ
ejpam-6967	422	43	to	to	ADP
ejpam-6967	422	44	a	a	DET
ejpam-6967	422	45	static	static	ADJ
ejpam-6967	422	46	defense	defense	NOUN
ejpam-6967	422	47	posture	posture	NOUN
ejpam-6967	422	48	.	.	PUNCT
ejpam-6967	423	1	this	this	DET
ejpam-6967	423	2	strategy	strategy	NOUN
ejpam-6967	423	3	achieved	achieve	VERB
ejpam-6967	423	4	a	a	DET
ejpam-6967	423	5	35.7	35.7	NUM
ejpam-6967	423	6	%	%	NOUN
ejpam-6967	423	7	reduction	reduction	NOUN
ejpam-6967	423	8	in	in	ADP
ejpam-6967	423	9	peak	peak	NOUN
ejpam-6967	423	10	infections	infection	NOUN
ejpam-6967	423	11	,	,	PUNCT
ejpam-6967	423	12	a	a	DET
ejpam-6967	423	13	62.5	62.5	NUM
ejpam-6967	423	14	%	%	NOUN
ejpam-6967	423	15	increase	increase	NOUN
ejpam-6967	423	16	in	in	ADP
ejpam-6967	423	17	recovered	recovered	ADJ
ejpam-6967	423	18	systems	system	NOUN
ejpam-6967	423	19	,	,	PUNCT
ejpam-6967	423	20	and	and	CCONJ
ejpam-6967	423	21	a	a	DET
ejpam-6967	423	22	45.8	45.8	NUM
ejpam-6967	423	23	%	%	NOUN
ejpam-6967	423	24	reduction	reduction	NOUN
ejpam-6967	423	25	in	in	ADP
ejpam-6967	423	26	irrecoverably	irrecoverably	ADV
ejpam-6967	423	27	deactivated	deactivate	VERB
ejpam-6967	423	28	assets	asset	NOUN
ejpam-6967	423	29	.	.	PUNCT
ejpam-6967	424	1	this	this	DET
ejpam-6967	424	2	tri	tri	ADJ
ejpam-6967	424	3	-	-	ADJ
ejpam-6967	424	4	fold	fold	ADJ
ejpam-6967	424	5	improvement	improvement	NOUN
ejpam-6967	424	6	translates	translate	VERB
ejpam-6967	424	7	directly	directly	ADV
ejpam-6967	424	8	into	into	ADP
ejpam-6967	424	9	minimized	minimized	ADJ
ejpam-6967	424	10	operational	operational	ADJ
ejpam-6967	424	11	disruption	disruption	NOUN
ejpam-6967	424	12	,	,	PUNCT
ejpam-6967	424	13	preserved	preserve	VERB
ejpam-6967	424	14	network	network	NOUN
ejpam-6967	424	15	capacity	capacity	NOUN
ejpam-6967	424	16	,	,	PUNCT
ejpam-6967	424	17	and	and	CCONJ
ejpam-6967	424	18	significant	significant	ADJ
ejpam-6967	424	19	cost	cost	NOUN
ejpam-6967	424	20	avoidance	avoidance	NOUN
ejpam-6967	424	21	,	,	PUNCT
ejpam-6967	424	22	offering	offer	VERB
ejpam-6967	424	23	a	a	DET
ejpam-6967	424	24	clear	clear	ADJ
ejpam-6967	424	25	blueprint	blueprint	NOUN
ejpam-6967	424	26	for	for	ADP
ejpam-6967	424	27	efficient	efficient	ADJ
ejpam-6967	424	28	resource	resource	NOUN
ejpam-6967	424	29	allocation	allocation	NOUN
ejpam-6967	424	30	during	during	ADP
ejpam-6967	424	31	a	a	DET
ejpam-6967	424	32	cyber	cyber	NOUN
ejpam-6967	424	33	incident	incident	NOUN
ejpam-6967	424	34	.	.	PUNCT
ejpam-6967	425	1	the	the	DET
ejpam-6967	425	2	theoretical	theoretical	ADJ
ejpam-6967	425	3	findings	finding	NOUN
ejpam-6967	425	4	of	of	ADP
ejpam-6967	425	5	this	this	DET
ejpam-6967	425	6	study	study	NOUN
ejpam-6967	425	7	have	have	VERB
ejpam-6967	425	8	direct	direct	ADJ
ejpam-6967	425	9	implications	implication	NOUN
ejpam-6967	425	10	for	for	ADP
ejpam-6967	425	11	real	real	ADJ
ejpam-6967	425	12	-	-	PUNCT
ejpam-6967	425	13	world	world	NOUN
ejpam-6967	425	14	cybersecurity	cybersecurity	NOUN
ejpam-6967	425	15	policy	policy	NOUN
ejpam-6967	425	16	and	and	CCONJ
ejpam-6967	425	17	resource	resource	NOUN
ejpam-6967	425	18	allocation	allocation	NOUN
ejpam-6967	425	19	.	.	PUNCT
ejpam-6967	426	1	the	the	DET
ejpam-6967	426	2	model	model	NOUN
ejpam-6967	426	3	parameters	parameter	NOUN
ejpam-6967	426	4	,	,	PUNCT
ejpam-6967	426	5	such	such	ADJ
ejpam-6967	426	6	as	as	ADP
ejpam-6967	426	7	infection	infection	NOUN
ejpam-6967	426	8	rates	rate	NOUN
ejpam-6967	426	9	(	(	PUNCT
ejpam-6967	426	10	β1	β1	PROPN
ejpam-6967	426	11	,	,	PUNCT
ejpam-6967	426	12	β2	β2	PROPN
ejpam-6967	426	13	)	)	PUNCT
ejpam-6967	426	14	,	,	PUNCT
ejpam-6967	426	15	quarantine	quarantine	NOUN
ejpam-6967	426	16	rate	rate	NOUN
ejpam-6967	426	17	(	(	PUNCT
ejpam-6967	426	18	θ	θ	NOUN
ejpam-6967	426	19	)	)	PUNCT
ejpam-6967	426	20	,	,	PUNCT
ejpam-6967	426	21	and	and	CCONJ
ejpam-6967	426	22	recovery	recovery	NOUN
ejpam-6967	426	23	rates	rate	NOUN
ejpam-6967	426	24	(	(	PUNCT
ejpam-6967	426	25	δ	δ	PROPN
ejpam-6967	426	26	,	,	PUNCT
ejpam-6967	426	27	ξ	ξ	PROPN
ejpam-6967	426	28	)	)	PUNCT
ejpam-6967	426	29	,	,	PUNCT
ejpam-6967	426	30	can	can	AUX
ejpam-6967	426	31	be	be	AUX
ejpam-6967	426	32	estimated	estimate	VERB
ejpam-6967	426	33	from	from	ADP
ejpam-6967	426	34	organizational	organizational	ADJ
ejpam-6967	426	35	network	network	NOUN
ejpam-6967	426	36	data	datum	NOUN
ejpam-6967	426	37	,	,	PUNCT
ejpam-6967	426	38	including	include	VERB
ejpam-6967	426	39	intrusion	intrusion	NOUN
ejpam-6967	426	40	detection	detection	NOUN
ejpam-6967	426	41	system	system	NOUN
ejpam-6967	426	42	(	(	PUNCT
ejpam-6967	426	43	ids	id	NOUN
ejpam-6967	426	44	)	)	PUNCT
ejpam-6967	426	45	logs	log	NOUN
ejpam-6967	426	46	,	,	PUNCT
ejpam-6967	426	47	incident	incident	NOUN
ejpam-6967	426	48	response	response	NOUN
ejpam-6967	426	49	reports	report	NOUN
ejpam-6967	426	50	,	,	PUNCT
ejpam-6967	426	51	and	and	CCONJ
ejpam-6967	426	52	malware	malware	NOUN
ejpam-6967	426	53	analysis	analysis	NOUN
ejpam-6967	426	54	.	.	PUNCT
ejpam-6967	427	1	for	for	ADP
ejpam-6967	427	2	instance	instance	NOUN
ejpam-6967	427	3	,	,	PUNCT
ejpam-6967	427	4	the	the	DET
ejpam-6967	427	5	propagation	propagation	NOUN
ejpam-6967	427	6	dynamics	dynamic	NOUN
ejpam-6967	427	7	observed	observe	VERB
ejpam-6967	427	8	during	during	ADP
ejpam-6967	427	9	incidents	incident	NOUN
ejpam-6967	427	10	involving	involve	VERB
ejpam-6967	427	11	worm	worm	NOUN
ejpam-6967	427	12	-	-	PUNCT
ejpam-6967	427	13	like	like	ADJ
ejpam-6967	427	14	malware	malware	NOUN
ejpam-6967	427	15	(	(	PUNCT
ejpam-6967	427	16	e.g.	e.g.	ADV
ejpam-6967	427	17	,	,	PUNCT
ejpam-6967	427	18	conficker	conficker	NOUN
ejpam-6967	427	19	)	)	PUNCT
ejpam-6967	427	20	or	or	CCONJ
ejpam-6967	427	21	ransomware	ransomware	NOUN
ejpam-6967	427	22	attacks	attack	NOUN
ejpam-6967	427	23	leveraging	leverage	VERB
ejpam-6967	427	24	removable	removable	ADJ
ejpam-6967	427	25	media	medium	NOUN
ejpam-6967	427	26	(	(	PUNCT
ejpam-6967	427	27	e.g.	e.g.	ADV
ejpam-6967	427	28	,	,	PUNCT
ejpam-6967	427	29	past	past	ADP
ejpam-6967	427	30	usb	usb	NOUN
ejpam-6967	427	31	-	-	PUNCT
ejpam-6967	427	32	based	base	VERB
ejpam-6967	427	33	attacks	attack	NOUN
ejpam-6967	427	34	)	)	PUNCT
ejpam-6967	427	35	provide	provide	VERB
ejpam-6967	427	36	a	a	DET
ejpam-6967	427	37	contextual	contextual	ADJ
ejpam-6967	427	38	basis	basis	NOUN
ejpam-6967	427	39	for	for	ADP
ejpam-6967	427	40	parameter	parameter	NOUN
ejpam-6967	427	41	ranges	range	NOUN
ejpam-6967	427	42	.	.	PUNCT
ejpam-6967	428	1	the	the	DET
ejpam-6967	428	2	optimal	optimal	ADJ
ejpam-6967	428	3	control	control	NOUN
ejpam-6967	428	4	strategy	strategy	NOUN
ejpam-6967	428	5	proposed	propose	VERB
ejpam-6967	428	6	—	—	PUNCT
ejpam-6967	428	7	prioritizing	prioritize	VERB
ejpam-6967	428	8	early	early	ADJ
ejpam-6967	428	9	quarantine	quarantine	NOUN
ejpam-6967	428	10	and	and	CCONJ
ejpam-6967	428	11	media	medium	NOUN
ejpam-6967	428	12	protection	protection	NOUN
ejpam-6967	428	13	followed	follow	VERB
ejpam-6967	428	14	by	by	ADP
ejpam-6967	428	15	recovery	recovery	NOUN
ejpam-6967	428	16	efforts	effort	NOUN
ejpam-6967	428	17	aligns	align	VERB
ejpam-6967	428	18	with	with	ADP
ejpam-6967	428	19	established	establish	VERB
ejpam-6967	428	20	cybersecurity	cybersecurity	NOUN
ejpam-6967	428	21	best	good	ADJ
ejpam-6967	428	22	practices	practice	NOUN
ejpam-6967	428	23	,	,	PUNCT
ejpam-6967	428	24	such	such	ADJ
ejpam-6967	428	25	as	as	ADP
ejpam-6967	428	26	the	the	DET
ejpam-6967	428	27	nist	nist	NOUN
ejpam-6967	428	28	cybersecurity	cybersecurity	NOUN
ejpam-6967	428	29	framework	framework	NOUN
ejpam-6967	428	30	’s	’s	PART
ejpam-6967	428	31	”	"	PUNCT
ejpam-6967	428	32	respond	respond	NOUN
ejpam-6967	428	33	”	"	PUNCT
ejpam-6967	428	34	and	and	CCONJ
ejpam-6967	428	35	“	"	PUNCT
ejpam-6967	428	36	recover	recover	VERB
ejpam-6967	428	37	”	"	PUNCT
ejpam-6967	428	38	functions	function	NOUN
ejpam-6967	428	39	.	.	PUNCT
ejpam-6967	429	1	this	this	DET
ejpam-6967	429	2	alignment	alignment	NOUN
ejpam-6967	429	3	demonstrates	demonstrate	VERB
ejpam-6967	429	4	the	the	DET
ejpam-6967	429	5	model	model	NOUN
ejpam-6967	429	6	’s	’s	PART
ejpam-6967	429	7	utility	utility	NOUN
ejpam-6967	429	8	as	as	ADP
ejpam-6967	429	9	a	a	DET
ejpam-6967	429	10	quantitative	quantitative	ADJ
ejpam-6967	429	11	decision	decision	NOUN
ejpam-6967	429	12	-	-	PUNCT
ejpam-6967	429	13	support	support	NOUN
ejpam-6967	429	14	tool	tool	NOUN
ejpam-6967	429	15	for	for	ADP
ejpam-6967	429	16	security	security	NOUN
ejpam-6967	429	17	administrators	administrator	NOUN
ejpam-6967	429	18	to	to	PART
ejpam-6967	429	19	optimize	optimize	VERB
ejpam-6967	429	20	investment	investment	NOUN
ejpam-6967	429	21	in	in	ADP
ejpam-6967	429	22	defensive	defensive	ADJ
ejpam-6967	429	23	measures	measure	NOUN
ejpam-6967	429	24	under	under	ADP
ejpam-6967	429	25	budget	budget	NOUN
ejpam-6967	429	26	constraints	constraint	NOUN
ejpam-6967	429	27	.	.	PUNCT
ejpam-6967	430	1	despite	despite	SCONJ
ejpam-6967	430	2	its	its	PRON
ejpam-6967	430	3	contributions	contribution	NOUN
ejpam-6967	430	4	,	,	PUNCT
ejpam-6967	430	5	this	this	DET
ejpam-6967	430	6	work	work	NOUN
ejpam-6967	430	7	has	have	VERB
ejpam-6967	430	8	limitations	limitation	NOUN
ejpam-6967	430	9	that	that	PRON
ejpam-6967	430	10	present	present	ADJ
ejpam-6967	430	11	avenues	avenue	NOUN
ejpam-6967	430	12	for	for	ADP
ejpam-6967	430	13	future	future	ADJ
ejpam-6967	430	14	research	research	NOUN
ejpam-6967	430	15	.	.	PUNCT
ejpam-6967	431	1	the	the	DET
ejpam-6967	431	2	model	model	NOUN
ejpam-6967	431	3	assumes	assume	VERB
ejpam-6967	431	4	a	a	DET
ejpam-6967	431	5	homogeneous	homogeneous	ADJ
ejpam-6967	431	6	network	network	NOUN
ejpam-6967	431	7	,	,	PUNCT
ejpam-6967	431	8	whereas	whereas	SCONJ
ejpam-6967	431	9	real	real	ADJ
ejpam-6967	431	10	-	-	PUNCT
ejpam-6967	431	11	world	world	NOUN
ejpam-6967	431	12	organizational	organizational	ADJ
ejpam-6967	431	13	networks	network	NOUN
ejpam-6967	431	14	have	have	VERB
ejpam-6967	431	15	complex	complex	ADJ
ejpam-6967	431	16	,	,	PUNCT
ejpam-6967	431	17	hierarchical	hierarchical	ADJ
ejpam-6967	431	18	structures	structure	NOUN
ejpam-6967	431	19	.	.	PUNCT
ejpam-6967	432	1	this	this	DET
ejpam-6967	432	2	homogeneity	homogeneity	NOUN
ejpam-6967	432	3	assumption	assumption	NOUN
ejpam-6967	432	4	may	may	AUX
ejpam-6967	432	5	lead	lead	VERB
ejpam-6967	432	6	to	to	ADP
ejpam-6967	432	7	an	an	DET
ejpam-6967	432	8	underestimation	underestimation	NOUN
ejpam-6967	432	9	of	of	ADP
ejpam-6967	432	10	the	the	DET
ejpam-6967	432	11	potential	potential	ADJ
ejpam-6967	432	12	outbreak	outbreak	NOUN
ejpam-6967	432	13	scale	scale	NOUN
ejpam-6967	432	14	and	and	CCONJ
ejpam-6967	432	15	speed	speed	NOUN
ejpam-6967	432	16	,	,	PUNCT
ejpam-6967	432	17	as	as	SCONJ
ejpam-6967	432	18	it	it	PRON
ejpam-6967	432	19	fails	fail	VERB
ejpam-6967	432	20	to	to	PART
ejpam-6967	432	21	capture	capture	VERB
ejpam-6967	432	22	the	the	DET
ejpam-6967	432	23	accelerated	accelerated	ADJ
ejpam-6967	432	24	propagation	propagation	NOUN
ejpam-6967	432	25	dynamics	dynamic	NOUN
ejpam-6967	432	26	that	that	PRON
ejpam-6967	432	27	occur	occur	VERB
ejpam-6967	432	28	through	through	ADP
ejpam-6967	432	29	highly	highly	ADV
ejpam-6967	432	30	connected	connect	VERB
ejpam-6967	432	31	nodes	node	NOUN
ejpam-6967	432	32	(	(	PUNCT
ejpam-6967	432	33	hubs	hub	NOUN
ejpam-6967	432	34	)	)	PUNCT
ejpam-6967	432	35	in	in	ADP
ejpam-6967	432	36	scale	scale	NOUN
ejpam-6967	432	37	-	-	PUNCT
ejpam-6967	432	38	free	free	ADJ
ejpam-6967	432	39	network	network	NOUN
ejpam-6967	432	40	topologies	topology	NOUN
ejpam-6967	432	41	common	common	ADJ
ejpam-6967	432	42	in	in	ADP
ejpam-6967	432	43	real	real	ADJ
ejpam-6967	432	44	it	it	PRON
ejpam-6967	432	45	infrastructures	infrastructure	NOUN
ejpam-6967	432	46	.	.	PUNCT
ejpam-6967	433	1	in	in	ADP
ejpam-6967	433	2	such	such	ADJ
ejpam-6967	433	3	networks	network	NOUN
ejpam-6967	433	4	,	,	PUNCT
ejpam-6967	433	5	a	a	DET
ejpam-6967	433	6	malware	malware	NOUN
ejpam-6967	433	7	incursion	incursion	NOUN
ejpam-6967	433	8	targeting	target	VERB
ejpam-6967	433	9	a	a	DET
ejpam-6967	433	10	central	central	ADJ
ejpam-6967	433	11	server	server	NOUN
ejpam-6967	433	12	or	or	CCONJ
ejpam-6967	433	13	a	a	DET
ejpam-6967	433	14	highly	highly	ADV
ejpam-6967	433	15	connected	connected	ADJ
ejpam-6967	433	16	user	user	NOUN
ejpam-6967	433	17	device	device	NOUN
ejpam-6967	433	18	could	could	AUX
ejpam-6967	433	19	lead	lead	VERB
ejpam-6967	433	20	to	to	ADP
ejpam-6967	433	21	a	a	DET
ejpam-6967	433	22	far	far	ADV
ejpam-6967	433	23	more	more	ADV
ejpam-6967	433	24	severe	severe	ADJ
ejpam-6967	433	25	and	and	CCONJ
ejpam-6967	433	26	rapid	rapid	ADJ
ejpam-6967	433	27	epidemic	epidemic	NOUN
ejpam-6967	433	28	than	than	SCONJ
ejpam-6967	433	29	predicted	predict	VERB
ejpam-6967	433	30	by	by	ADP
ejpam-6967	433	31	our	our	PRON
ejpam-6967	433	32	current	current	ADJ
ejpam-6967	433	33	model	model	NOUN
ejpam-6967	433	34	,	,	PUNCT
ejpam-6967	433	35	potentially	potentially	ADV
ejpam-6967	433	36	biasing	bias	VERB
ejpam-6967	433	37	the	the	DET
ejpam-6967	433	38	estimated	estimate	VERB
ejpam-6967	433	39	effectiveness	effectiveness	NOUN
ejpam-6967	433	40	of	of	ADP
ejpam-6967	433	41	control	control	NOUN
ejpam-6967	433	42	measures	measure	NOUN
ejpam-6967	433	43	if	if	SCONJ
ejpam-6967	433	44	not	not	PART
ejpam-6967	433	45	properly	properly	ADV
ejpam-6967	433	46	accounted	account	VERB
ejpam-6967	433	47	for	for	ADP
ejpam-6967	433	48	.	.	PUNCT
ejpam-6967	434	1	future	future	ADJ
ejpam-6967	434	2	work	work	NOUN
ejpam-6967	434	3	could	could	AUX
ejpam-6967	434	4	extend	extend	VERB
ejpam-6967	434	5	this	this	DET
ejpam-6967	434	6	model	model	NOUN
ejpam-6967	434	7	onto	onto	ADP
ejpam-6967	434	8	complex	complex	ADJ
ejpam-6967	434	9	network	network	NOUN
ejpam-6967	434	10	topologies	topology	NOUN
ejpam-6967	434	11	(	(	PUNCT
ejpam-6967	434	12	e.g.	e.g.	ADV
ejpam-6967	434	13	,	,	PUNCT
ejpam-6967	434	14	scale	scale	NOUN
ejpam-6967	434	15	-	-	PUNCT
ejpam-6967	434	16	free	free	ADJ
ejpam-6967	434	17	,	,	PUNCT
ejpam-6967	434	18	small	small	ADJ
ejpam-6967	434	19	-	-	PUNCT
ejpam-6967	434	20	world	world	NOUN
ejpam-6967	434	21	)	)	PUNCT
ejpam-6967	434	22	to	to	PART
ejpam-6967	434	23	explore	explore	VERB
ejpam-6967	434	24	the	the	DET
ejpam-6967	434	25	impact	impact	NOUN
ejpam-6967	434	26	of	of	ADP
ejpam-6967	434	27	node	node	ADJ
ejpam-6967	434	28	connectivity	connectivity	NOUN
ejpam-6967	434	29	and	and	CCONJ
ejpam-6967	434	30	critical	critical	ADJ
ejpam-6967	434	31	hubs	hub	NOUN
ejpam-6967	434	32	on	on	ADP
ejpam-6967	434	33	propagation	propagation	NOUN
ejpam-6967	434	34	dynamics	dynamic	NOUN
ejpam-6967	434	35	.	.	PUNCT
ejpam-6967	435	1	furthermore	furthermore	ADV
ejpam-6967	435	2	,	,	PUNCT
ejpam-6967	435	3	the	the	DET
ejpam-6967	435	4	model	model	NOUN
ejpam-6967	435	5	parameters	parameter	NOUN
ejpam-6967	435	6	were	be	AUX
ejpam-6967	435	7	held	hold	VERB
ejpam-6967	435	8	constant	constant	ADJ
ejpam-6967	435	9	;	;	PUNCT
ejpam-6967	435	10	integrating	integrate	VERB
ejpam-6967	435	11	stochasticity	stochasticity	NOUN
ejpam-6967	435	12	to	to	PART
ejpam-6967	435	13	account	account	VERB
ejpam-6967	435	14	for	for	ADP
ejpam-6967	435	15	the	the	DET
ejpam-6967	435	16	unpredictable	unpredictable	ADJ
ejpam-6967	435	17	nature	nature	NOUN
ejpam-6967	435	18	of	of	ADP
ejpam-6967	435	19	user	user	NOUN
ejpam-6967	435	20	behavior	behavior	NOUN
ejpam-6967	435	21	and	and	CCONJ
ejpam-6967	435	22	threat	threat	NOUN
ejpam-6967	435	23	evolution	evolution	NOUN
ejpam-6967	435	24	would	would	AUX
ejpam-6967	435	25	enhance	enhance	VERB
ejpam-6967	435	26	its	its	PRON
ejpam-6967	435	27	realism	realism	NOUN
ejpam-6967	435	28	.	.	PUNCT
ejpam-6967	436	1	finally	finally	ADV
ejpam-6967	436	2	,	,	PUNCT
ejpam-6967	436	3	a	a	DET
ejpam-6967	436	4	promising	promising	ADJ
ejpam-6967	436	5	direction	direction	NOUN
ejpam-6967	436	6	is	be	AUX
ejpam-6967	436	7	the	the	DET
ejpam-6967	436	8	integration	integration	NOUN
ejpam-6967	436	9	of	of	ADP
ejpam-6967	436	10	machine	machine	NOUN
ejpam-6967	436	11	learning	learn	VERB
ejpam-6967	436	12	for	for	ADP
ejpam-6967	436	13	real	real	ADJ
ejpam-6967	436	14	-	-	PUNCT
ejpam-6967	436	15	time	time	NOUN
ejpam-6967	436	16	parameter	parameter	NOUN
ejpam-6967	436	17	estimation	estimation	NOUN
ejpam-6967	436	18	and	and	CCONJ
ejpam-6967	436	19	predictive	predictive	ADJ
ejpam-6967	436	20	g.	g.	PROPN
ejpam-6967	436	21	ali	ali	PROPN
ejpam-6967	436	22	et	et	PROPN
ejpam-6967	436	23	al	al	PROPN
ejpam-6967	436	24	.	.	PUNCT
ejpam-6967	436	25	/	/	SYM
ejpam-6967	436	26	eur	eur	PROPN
ejpam-6967	436	27	.	.	PUNCT
ejpam-6967	437	1	j.	j.	PROPN
ejpam-6967	437	2	pure	pure	PROPN
ejpam-6967	437	3	appl	appl	PROPN
ejpam-6967	437	4	.	.	PROPN
ejpam-6967	437	5	math	math	PROPN
ejpam-6967	437	6	,	,	PUNCT
ejpam-6967	437	7	18	18	NUM
ejpam-6967	437	8	(	(	PUNCT
ejpam-6967	437	9	4	4	NUM
ejpam-6967	437	10	)	)	PUNCT
ejpam-6967	437	11	(	(	PUNCT
ejpam-6967	437	12	2025	2025	NUM
ejpam-6967	437	13	)	)	PUNCT
ejpam-6967	437	14	,	,	PUNCT
ejpam-6967	437	15	6967	6967	NUM
ejpam-6967	437	16	26	26	NUM
ejpam-6967	437	17	of	of	ADP
ejpam-6967	437	18	29	29	NUM
ejpam-6967	437	19	control	control	NOUN
ejpam-6967	437	20	,	,	PUNCT
ejpam-6967	437	21	moving	move	VERB
ejpam-6967	437	22	from	from	ADP
ejpam-6967	437	23	a	a	DET
ejpam-6967	437	24	theoretical	theoretical	ADJ
ejpam-6967	437	25	optimal	optimal	ADJ
ejpam-6967	437	26	control	control	NOUN
ejpam-6967	437	27	to	to	ADP
ejpam-6967	437	28	an	an	DET
ejpam-6967	437	29	adaptive	adaptive	ADJ
ejpam-6967	437	30	,	,	PUNCT
ejpam-6967	437	31	learning	learning	NOUN
ejpam-6967	437	32	-	-	PUNCT
ejpam-6967	437	33	based	base	VERB
ejpam-6967	437	34	defense	defense	NOUN
ejpam-6967	437	35	system	system	NOUN
ejpam-6967	437	36	that	that	PRON
ejpam-6967	437	37	can	can	AUX
ejpam-6967	437	38	respond	respond	VERB
ejpam-6967	437	39	to	to	ADP
ejpam-6967	437	40	evolving	evolve	VERB
ejpam-6967	437	41	threats	threat	NOUN
ejpam-6967	437	42	.	.	PUNCT
ejpam-6967	438	1	4.1	4.1	NUM
ejpam-6967	438	2	.	.	PUNCT
ejpam-6967	438	3	implementation	implementation	NOUN
ejpam-6967	438	4	feasibility	feasibility	NOUN
ejpam-6967	438	5	and	and	CCONJ
ejpam-6967	438	6	challenges	challenge	NOUN
ejpam-6967	438	7	while	while	SCONJ
ejpam-6967	438	8	the	the	DET
ejpam-6967	438	9	optimal	optimal	ADJ
ejpam-6967	438	10	control	control	NOUN
ejpam-6967	438	11	strategy	strategy	NOUN
ejpam-6967	438	12	demonstrates	demonstrate	VERB
ejpam-6967	438	13	significant	significant	ADJ
ejpam-6967	438	14	theoretical	theoretical	ADJ
ejpam-6967	438	15	benefits	benefit	NOUN
ejpam-6967	438	16	,	,	PUNCT
ejpam-6967	438	17	its	its	PRON
ejpam-6967	438	18	real	real	ADJ
ejpam-6967	438	19	-	-	PUNCT
ejpam-6967	438	20	world	world	NOUN
ejpam-6967	438	21	implementation	implementation	NOUN
ejpam-6967	438	22	faces	face	VERB
ejpam-6967	438	23	several	several	ADJ
ejpam-6967	438	24	challenges	challenge	NOUN
ejpam-6967	438	25	.	.	PUNCT
ejpam-6967	439	1	scaling	scale	VERB
ejpam-6967	439	2	dynamic	dynamic	ADJ
ejpam-6967	439	3	quarantine	quarantine	NOUN
ejpam-6967	439	4	measures	measure	NOUN
ejpam-6967	439	5	(	(	PUNCT
ejpam-6967	439	6	u2(t	u2(t	NOUN
ejpam-6967	439	7	)	)	PUNCT
ejpam-6967	439	8	)	)	PUNCT
ejpam-6967	439	9	requires	require	VERB
ejpam-6967	439	10	robust	robust	ADJ
ejpam-6967	439	11	intrusion	intrusion	NOUN
ejpam-6967	439	12	detection	detection	NOUN
ejpam-6967	439	13	systems	system	NOUN
ejpam-6967	439	14	(	(	PUNCT
ejpam-6967	439	15	ids	id	NOUN
ejpam-6967	439	16	)	)	PUNCT
ejpam-6967	439	17	capable	capable	ADJ
ejpam-6967	439	18	of	of	ADP
ejpam-6967	439	19	real	real	ADJ
ejpam-6967	439	20	-	-	PUNCT
ejpam-6967	439	21	time	time	NOUN
ejpam-6967	439	22	threat	threat	NOUN
ejpam-6967	439	23	analysis	analysis	NOUN
ejpam-6967	439	24	and	and	CCONJ
ejpam-6967	439	25	automated	automate	VERB
ejpam-6967	439	26	isolation	isolation	NOUN
ejpam-6967	439	27	without	without	ADP
ejpam-6967	439	28	causing	cause	VERB
ejpam-6967	439	29	operational	operational	ADJ
ejpam-6967	439	30	disruption	disruption	NOUN
ejpam-6967	439	31	.	.	PUNCT
ejpam-6967	440	1	organizations	organization	NOUN
ejpam-6967	440	2	may	may	AUX
ejpam-6967	440	3	struggle	struggle	VERB
ejpam-6967	440	4	with	with	ADP
ejpam-6967	440	5	the	the	DET
ejpam-6967	440	6	initial	initial	ADJ
ejpam-6967	440	7	cost	cost	NOUN
ejpam-6967	440	8	of	of	ADP
ejpam-6967	440	9	deploying	deploy	VERB
ejpam-6967	440	10	such	such	ADJ
ejpam-6967	440	11	systems	system	NOUN
ejpam-6967	440	12	and	and	CCONJ
ejpam-6967	440	13	the	the	DET
ejpam-6967	440	14	need	need	NOUN
ejpam-6967	440	15	for	for	ADP
ejpam-6967	440	16	continuous	continuous	ADJ
ejpam-6967	440	17	monitoring	monitoring	NOUN
ejpam-6967	440	18	.	.	PUNCT
ejpam-6967	441	1	similarly	similarly	ADV
ejpam-6967	441	2	,	,	PUNCT
ejpam-6967	441	3	scaling	scale	VERB
ejpam-6967	441	4	recovery	recovery	NOUN
ejpam-6967	441	5	efforts	effort	NOUN
ejpam-6967	441	6	(	(	PUNCT
ejpam-6967	441	7	u3(t	u3(t	NUM
ejpam-6967	441	8	)	)	PUNCT
ejpam-6967	441	9	)	)	PUNCT
ejpam-6967	441	10	demands	demand	VERB
ejpam-6967	441	11	efficient	efficient	ADJ
ejpam-6967	441	12	patch	patch	NOUN
ejpam-6967	441	13	management	management	NOUN
ejpam-6967	441	14	tools	tool	NOUN
ejpam-6967	441	15	and	and	CCONJ
ejpam-6967	441	16	dedicated	dedicated	ADJ
ejpam-6967	441	17	incident	incident	NOUN
ejpam-6967	441	18	response	response	NOUN
ejpam-6967	441	19	teams	team	NOUN
ejpam-6967	441	20	,	,	PUNCT
ejpam-6967	441	21	which	which	PRON
ejpam-6967	441	22	may	may	AUX
ejpam-6967	441	23	be	be	AUX
ejpam-6967	441	24	resource	resource	NOUN
ejpam-6967	441	25	-	-	PUNCT
ejpam-6967	441	26	intensive	intensive	ADJ
ejpam-6967	441	27	for	for	ADP
ejpam-6967	441	28	smaller	small	ADJ
ejpam-6967	441	29	organizations	organization	NOUN
ejpam-6967	441	30	.	.	PUNCT
ejpam-6967	442	1	additionally	additionally	ADV
ejpam-6967	442	2	,	,	PUNCT
ejpam-6967	442	3	the	the	DET
ejpam-6967	442	4	effectiveness	effectiveness	NOUN
ejpam-6967	442	5	of	of	ADP
ejpam-6967	442	6	media	medium	NOUN
ejpam-6967	442	7	protection	protection	NOUN
ejpam-6967	442	8	controls	control	NOUN
ejpam-6967	442	9	(	(	PUNCT
ejpam-6967	442	10	u1(t	u1(t	NOUN
ejpam-6967	442	11	)	)	PUNCT
ejpam-6967	442	12	)	)	PUNCT
ejpam-6967	442	13	hinges	hinge	NOUN
ejpam-6967	442	14	on	on	ADP
ejpam-6967	442	15	employee	employee	NOUN
ejpam-6967	442	16	compliance	compliance	NOUN
ejpam-6967	442	17	with	with	ADP
ejpam-6967	442	18	security	security	NOUN
ejpam-6967	442	19	policies	policy	NOUN
ejpam-6967	442	20	,	,	PUNCT
ejpam-6967	442	21	such	such	ADJ
ejpam-6967	442	22	as	as	ADP
ejpam-6967	442	23	restricting	restrict	VERB
ejpam-6967	442	24	unauthorized	unauthorized	ADJ
ejpam-6967	442	25	usb	usb	NOUN
ejpam-6967	442	26	device	device	NOUN
ejpam-6967	442	27	usage	usage	NOUN
ejpam-6967	442	28	,	,	PUNCT
ejpam-6967	442	29	which	which	PRON
ejpam-6967	442	30	can	can	AUX
ejpam-6967	442	31	be	be	AUX
ejpam-6967	442	32	difficult	difficult	ADJ
ejpam-6967	442	33	to	to	PART
ejpam-6967	442	34	enforce	enforce	VERB
ejpam-6967	442	35	consistently	consistently	ADV
ejpam-6967	442	36	.	.	PUNCT
ejpam-6967	443	1	these	these	DET
ejpam-6967	443	2	challenges	challenge	NOUN
ejpam-6967	443	3	highlight	highlight	VERB
ejpam-6967	443	4	the	the	DET
ejpam-6967	443	5	need	need	NOUN
ejpam-6967	443	6	for	for	ADP
ejpam-6967	443	7	balanced	balanced	ADJ
ejpam-6967	443	8	investment	investment	NOUN
ejpam-6967	443	9	in	in	ADP
ejpam-6967	443	10	both	both	DET
ejpam-6967	443	11	technology	technology	NOUN
ejpam-6967	443	12	and	and	CCONJ
ejpam-6967	443	13	human	human	ADJ
ejpam-6967	443	14	factors	factor	NOUN
ejpam-6967	443	15	to	to	PART
ejpam-6967	443	16	successfully	successfully	ADV
ejpam-6967	443	17	translate	translate	VERB
ejpam-6967	443	18	the	the	DET
ejpam-6967	443	19	proposed	propose	VERB
ejpam-6967	443	20	strategy	strategy	NOUN
ejpam-6967	443	21	into	into	ADP
ejpam-6967	443	22	practice	practice	NOUN
ejpam-6967	443	23	.	.	PUNCT
ejpam-6967	444	1	5	5	X
ejpam-6967	444	2	.	.	X
ejpam-6967	444	3	conclusion	conclusion	NOUN
ejpam-6967	444	4	this	this	DET
ejpam-6967	444	5	research	research	NOUN
ejpam-6967	444	6	has	have	AUX
ejpam-6967	444	7	presented	present	VERB
ejpam-6967	444	8	a	a	DET
ejpam-6967	444	9	comprehensive	comprehensive	ADJ
ejpam-6967	444	10	mathematical	mathematical	ADJ
ejpam-6967	444	11	framework	framework	NOUN
ejpam-6967	444	12	for	for	ADP
ejpam-6967	444	13	understanding	understanding	NOUN
ejpam-6967	444	14	and	and	CCONJ
ejpam-6967	444	15	combating	combat	VERB
ejpam-6967	444	16	the	the	DET
ejpam-6967	444	17	propagation	propagation	NOUN
ejpam-6967	444	18	of	of	ADP
ejpam-6967	444	19	computer	computer	NOUN
ejpam-6967	444	20	viruses	virus	NOUN
ejpam-6967	444	21	that	that	PRON
ejpam-6967	444	22	leverage	leverage	VERB
ejpam-6967	444	23	both	both	DET
ejpam-6967	444	24	network	network	NOUN
ejpam-6967	444	25	-	-	PUNCT
ejpam-6967	444	26	based	base	VERB
ejpam-6967	444	27	and	and	CCONJ
ejpam-6967	444	28	removable	removable	ADJ
ejpam-6967	444	29	media	medium	NOUN
ejpam-6967	444	30	vectors	vector	NOUN
ejpam-6967	444	31	.	.	PUNCT
ejpam-6967	445	1	the	the	DET
ejpam-6967	445	2	novel	novel	NOUN
ejpam-6967	445	3	slaqrd	slaqrd	NOUN
ejpam-6967	445	4	compartmental	compartmental	ADJ
ejpam-6967	445	5	model	model	NOUN
ejpam-6967	445	6	developed	develop	VERB
ejpam-6967	445	7	in	in	ADP
ejpam-6967	445	8	this	this	DET
ejpam-6967	445	9	work	work	NOUN
ejpam-6967	445	10	addresses	address	VERB
ejpam-6967	445	11	a	a	DET
ejpam-6967	445	12	critical	critical	ADJ
ejpam-6967	445	13	gap	gap	NOUN
ejpam-6967	445	14	in	in	ADP
ejpam-6967	445	15	cybersecurity	cybersecurity	NOUN
ejpam-6967	445	16	literature	literature	NOUN
ejpam-6967	445	17	by	by	ADP
ejpam-6967	445	18	incorporating	incorporate	VERB
ejpam-6967	445	19	realistic	realistic	ADJ
ejpam-6967	445	20	states	state	NOUN
ejpam-6967	445	21	such	such	ADJ
ejpam-6967	445	22	as	as	ADP
ejpam-6967	445	23	latent	latent	NOUN
ejpam-6967	445	24	infections	infection	NOUN
ejpam-6967	445	25	,	,	PUNCT
ejpam-6967	445	26	automated	automate	VERB
ejpam-6967	445	27	quarantine	quarantine	NOUN
ejpam-6967	445	28	,	,	PUNCT
ejpam-6967	445	29	system	system	NOUN
ejpam-6967	445	30	recovery	recovery	NOUN
ejpam-6967	445	31	,	,	PUNCT
ejpam-6967	445	32	and	and	CCONJ
ejpam-6967	445	33	deactivation	deactivation	NOUN
ejpam-6967	445	34	,	,	PUNCT
ejpam-6967	445	35	thereby	thereby	ADV
ejpam-6967	445	36	providing	provide	VERB
ejpam-6967	445	37	a	a	DET
ejpam-6967	445	38	more	more	ADV
ejpam-6967	445	39	nuanced	nuanced	ADJ
ejpam-6967	445	40	depiction	depiction	NOUN
ejpam-6967	445	41	of	of	ADP
ejpam-6967	445	42	modern	modern	ADJ
ejpam-6967	445	43	cyber	cyber	NOUN
ejpam-6967	445	44	threats	threat	NOUN
ejpam-6967	445	45	.	.	PUNCT
ejpam-6967	446	1	theoretical	theoretical	ADJ
ejpam-6967	446	2	analysis	analysis	NOUN
ejpam-6967	446	3	established	establish	VERB
ejpam-6967	446	4	the	the	DET
ejpam-6967	446	5	model	model	NOUN
ejpam-6967	446	6	’s	’s	PART
ejpam-6967	446	7	mathematical	mathematical	ADJ
ejpam-6967	446	8	robustness	robustness	NOUN
ejpam-6967	446	9	,	,	PUNCT
ejpam-6967	446	10	defining	define	VERB
ejpam-6967	446	11	a	a	DET
ejpam-6967	446	12	feasible	feasible	ADJ
ejpam-6967	446	13	region	region	NOUN
ejpam-6967	446	14	and	and	CCONJ
ejpam-6967	446	15	proving	prove	VERB
ejpam-6967	446	16	the	the	DET
ejpam-6967	446	17	existence	existence	NOUN
ejpam-6967	446	18	and	and	CCONJ
ejpam-6967	446	19	uniqueness	uniqueness	NOUN
ejpam-6967	446	20	of	of	ADP
ejpam-6967	446	21	solutions	solution	NOUN
ejpam-6967	446	22	.	.	PUNCT
ejpam-6967	447	1	the	the	DET
ejpam-6967	447	2	derivation	derivation	NOUN
ejpam-6967	447	3	of	of	ADP
ejpam-6967	447	4	the	the	DET
ejpam-6967	447	5	basic	basic	ADJ
ejpam-6967	447	6	reproduction	reproduction	NOUN
ejpam-6967	447	7	number	number	NOUN
ejpam-6967	447	8	r0	r0	NOUN
ejpam-6967	447	9	provided	provide	VERB
ejpam-6967	447	10	a	a	DET
ejpam-6967	447	11	crucial	crucial	ADJ
ejpam-6967	447	12	epidemiological	epidemiological	ADJ
ejpam-6967	447	13	threshold	threshold	NOUN
ejpam-6967	447	14	,	,	PUNCT
ejpam-6967	447	15	determining	determine	VERB
ejpam-6967	447	16	the	the	DET
ejpam-6967	447	17	conditions	condition	NOUN
ejpam-6967	447	18	under	under	ADP
ejpam-6967	447	19	which	which	PRON
ejpam-6967	447	20	an	an	DET
ejpam-6967	447	21	outbreak	outbreak	NOUN
ejpam-6967	447	22	will	will	AUX
ejpam-6967	447	23	fail	fail	VERB
ejpam-6967	447	24	or	or	CCONJ
ejpam-6967	447	25	persist	persist	VERB
ejpam-6967	447	26	.	.	PUNCT
ejpam-6967	448	1	stability	stability	NOUN
ejpam-6967	448	2	analysis	analysis	NOUN
ejpam-6967	448	3	,	,	PUNCT
ejpam-6967	448	4	supported	support	VERB
ejpam-6967	448	5	by	by	ADP
ejpam-6967	448	6	numerical	numerical	ADJ
ejpam-6967	448	7	simulations	simulation	NOUN
ejpam-6967	448	8	,	,	PUNCT
ejpam-6967	448	9	confirmed	confirm	VERB
ejpam-6967	448	10	that	that	SCONJ
ejpam-6967	448	11	the	the	DET
ejpam-6967	448	12	system	system	NOUN
ejpam-6967	448	13	converges	converge	VERB
ejpam-6967	448	14	predictably	predictably	ADV
ejpam-6967	448	15	to	to	ADP
ejpam-6967	448	16	a	a	DET
ejpam-6967	448	17	disease	disease	NOUN
ejpam-6967	448	18	-	-	PUNCT
ejpam-6967	448	19	free	free	ADJ
ejpam-6967	448	20	equilibrium	equilibrium	NOUN
ejpam-6967	448	21	when	when	SCONJ
ejpam-6967	448	22	r0	r0	NOUN
ejpam-6967	448	23	<	<	X
ejpam-6967	448	24	1	1	NUM
ejpam-6967	448	25	or	or	CCONJ
ejpam-6967	448	26	to	to	ADP
ejpam-6967	448	27	an	an	DET
ejpam-6967	448	28	endemic	endemic	ADJ
ejpam-6967	448	29	state	state	NOUN
ejpam-6967	448	30	when	when	SCONJ
ejpam-6967	448	31	r0	r0	NOUN
ejpam-6967	448	32	>	>	X
ejpam-6967	448	33	1	1	NUM
ejpam-6967	448	34	,	,	PUNCT
ejpam-6967	448	35	validating	validate	VERB
ejpam-6967	448	36	the	the	DET
ejpam-6967	448	37	model	model	NOUN
ejpam-6967	448	38	’s	’s	PART
ejpam-6967	448	39	predictive	predictive	ADJ
ejpam-6967	448	40	power	power	NOUN
ejpam-6967	448	41	.	.	PUNCT
ejpam-6967	449	1	the	the	DET
ejpam-6967	449	2	most	most	ADV
ejpam-6967	449	3	significant	significant	ADJ
ejpam-6967	449	4	contribution	contribution	NOUN
ejpam-6967	449	5	of	of	ADP
ejpam-6967	449	6	this	this	DET
ejpam-6967	449	7	study	study	NOUN
ejpam-6967	449	8	is	be	AUX
ejpam-6967	449	9	the	the	DET
ejpam-6967	449	10	formulation	formulation	NOUN
ejpam-6967	449	11	and	and	CCONJ
ejpam-6967	449	12	application	application	NOUN
ejpam-6967	449	13	of	of	ADP
ejpam-6967	449	14	an	an	DET
ejpam-6967	449	15	optimal	optimal	ADJ
ejpam-6967	449	16	control	control	NOUN
ejpam-6967	449	17	framework	framework	NOUN
ejpam-6967	449	18	.	.	PUNCT
ejpam-6967	450	1	by	by	ADP
ejpam-6967	450	2	dynamically	dynamically	ADV
ejpam-6967	450	3	allocating	allocate	VERB
ejpam-6967	450	4	resources	resource	NOUN
ejpam-6967	450	5	to	to	ADP
ejpam-6967	450	6	three	three	NUM
ejpam-6967	450	7	key	key	ADJ
ejpam-6967	450	8	defense	defense	NOUN
ejpam-6967	450	9	strategies	strategy	NOUN
ejpam-6967	450	10	removable	removable	ADJ
ejpam-6967	450	11	media	medium	NOUN
ejpam-6967	450	12	protection	protection	NOUN
ejpam-6967	450	13	(	(	PUNCT
ejpam-6967	450	14	u1	u1	NOUN
ejpam-6967	450	15	)	)	PUNCT
ejpam-6967	450	16	,	,	PUNCT
ejpam-6967	450	17	enhanced	enhance	VERB
ejpam-6967	450	18	quarantine	quarantine	NOUN
ejpam-6967	450	19	(	(	PUNCT
ejpam-6967	450	20	u2	u2	PROPN
ejpam-6967	450	21	)	)	PUNCT
ejpam-6967	450	22	,	,	PUNCT
ejpam-6967	450	23	and	and	CCONJ
ejpam-6967	450	24	accelerated	accelerate	VERB
ejpam-6967	450	25	recovery	recovery	NOUN
ejpam-6967	450	26	(	(	PUNCT
ejpam-6967	450	27	u3	u3	PROPN
ejpam-6967	450	28	)	)	PUNCT
ejpam-6967	450	29	the	the	DET
ejpam-6967	450	30	model	model	NOUN
ejpam-6967	450	31	demonstrates	demonstrate	VERB
ejpam-6967	450	32	a	a	DET
ejpam-6967	450	33	path	path	NOUN
ejpam-6967	450	34	to	to	ADP
ejpam-6967	450	35	significantly	significantly	ADV
ejpam-6967	450	36	mitigating	mitigate	VERB
ejpam-6967	450	37	cyber	cyber	NOUN
ejpam-6967	450	38	outbreaks	outbreak	NOUN
ejpam-6967	450	39	.	.	PUNCT
ejpam-6967	451	1	the	the	DET
ejpam-6967	451	2	results	result	NOUN
ejpam-6967	451	3	prove	prove	VERB
ejpam-6967	451	4	that	that	SCONJ
ejpam-6967	451	5	a	a	DET
ejpam-6967	451	6	time	time	NOUN
ejpam-6967	451	7	varying	vary	VERB
ejpam-6967	451	8	,	,	PUNCT
ejpam-6967	451	9	adaptive	adaptive	ADJ
ejpam-6967	451	10	strategy	strategy	NOUN
ejpam-6967	451	11	is	be	AUX
ejpam-6967	451	12	vastly	vastly	ADV
ejpam-6967	451	13	superior	superior	ADJ
ejpam-6967	451	14	to	to	ADP
ejpam-6967	451	15	static	static	ADJ
ejpam-6967	451	16	defenses	defense	NOUN
ejpam-6967	451	17	,	,	PUNCT
ejpam-6967	451	18	achieving	achieve	VERB
ejpam-6967	451	19	a	a	DET
ejpam-6967	451	20	substantial	substantial	ADJ
ejpam-6967	451	21	reduction	reduction	NOUN
ejpam-6967	451	22	in	in	ADP
ejpam-6967	451	23	peak	peak	NOUN
ejpam-6967	451	24	infections	infection	NOUN
ejpam-6967	451	25	(	(	PUNCT
ejpam-6967	451	26	35.7	35.7	NUM
ejpam-6967	451	27	%	%	NOUN
ejpam-6967	451	28	)	)	PUNCT
ejpam-6967	451	29	,	,	PUNCT
ejpam-6967	451	30	a	a	DET
ejpam-6967	451	31	major	major	ADJ
ejpam-6967	451	32	increase	increase	NOUN
ejpam-6967	451	33	in	in	ADP
ejpam-6967	451	34	recovered	recovered	ADJ
ejpam-6967	451	35	systems	system	NOUN
ejpam-6967	451	36	(	(	PUNCT
ejpam-6967	451	37	62.5	62.5	NUM
ejpam-6967	451	38	%	%	NOUN
ejpam-6967	451	39	)	)	PUNCT
ejpam-6967	451	40	,	,	PUNCT
ejpam-6967	451	41	and	and	CCONJ
ejpam-6967	451	42	a	a	DET
ejpam-6967	451	43	sharp	sharp	ADJ
ejpam-6967	451	44	decrease	decrease	NOUN
ejpam-6967	451	45	in	in	ADP
ejpam-6967	451	46	irrecoverable	irrecoverable	ADJ
ejpam-6967	451	47	system	system	NOUN
ejpam-6967	451	48	loss	loss	NOUN
ejpam-6967	451	49	(	(	PUNCT
ejpam-6967	451	50	45.8	45.8	NUM
ejpam-6967	451	51	%	%	NOUN
ejpam-6967	451	52	)	)	PUNCT
ejpam-6967	451	53	.	.	PUNCT
ejpam-6967	452	1	this	this	PRON
ejpam-6967	452	2	translates	translate	VERB
ejpam-6967	452	3	directly	directly	ADV
ejpam-6967	452	4	into	into	ADP
ejpam-6967	452	5	preserved	preserve	VERB
ejpam-6967	452	6	operational	operational	ADJ
ejpam-6967	452	7	continuity	continuity	NOUN
ejpam-6967	452	8	,	,	PUNCT
ejpam-6967	452	9	maintained	maintain	VERB
ejpam-6967	452	10	asset	asset	NOUN
ejpam-6967	452	11	availability	availability	NOUN
ejpam-6967	452	12	,	,	PUNCT
ejpam-6967	452	13	and	and	CCONJ
ejpam-6967	452	14	substantial	substantial	ADJ
ejpam-6967	452	15	cost	cost	NOUN
ejpam-6967	452	16	avoidance	avoidance	NOUN
ejpam-6967	452	17	for	for	ADP
ejpam-6967	452	18	organizations	organization	NOUN
ejpam-6967	452	19	.	.	PUNCT
ejpam-6967	453	1	in	in	ADP
ejpam-6967	453	2	conclusion	conclusion	NOUN
ejpam-6967	453	3	,	,	PUNCT
ejpam-6967	453	4	this	this	DET
ejpam-6967	453	5	work	work	NOUN
ejpam-6967	453	6	transitions	transition	NOUN
ejpam-6967	453	7	cybersecurity	cybersecurity	NOUN
ejpam-6967	453	8	policy	policy	NOUN
ejpam-6967	453	9	from	from	ADP
ejpam-6967	453	10	a	a	DET
ejpam-6967	453	11	reactive	reactive	NOUN
ejpam-6967	453	12	to	to	ADP
ejpam-6967	453	13	a	a	DET
ejpam-6967	453	14	predictive	predictive	ADJ
ejpam-6967	453	15	and	and	CCONJ
ejpam-6967	453	16	optimized	optimize	VERB
ejpam-6967	453	17	paradigm	paradigm	NOUN
ejpam-6967	453	18	.	.	PUNCT
ejpam-6967	454	1	it	it	PRON
ejpam-6967	454	2	provides	provide	VERB
ejpam-6967	454	3	network	network	NOUN
ejpam-6967	454	4	administrators	administrator	NOUN
ejpam-6967	454	5	and	and	CCONJ
ejpam-6967	454	6	security	security	NOUN
ejpam-6967	454	7	policymakers	policymaker	NOUN
ejpam-6967	454	8	with	with	ADP
ejpam-6967	454	9	a	a	DET
ejpam-6967	454	10	quantitative	quantitative	ADJ
ejpam-6967	454	11	,	,	PUNCT
ejpam-6967	454	12	decision	decision	NOUN
ejpam-6967	454	13	-	-	PUNCT
ejpam-6967	454	14	support	support	NOUN
ejpam-6967	454	15	tool	tool	NOUN
ejpam-6967	454	16	for	for	ADP
ejpam-6967	454	17	g.	g.	PROPN
ejpam-6967	454	18	ali	ali	PROPN
ejpam-6967	454	19	et	et	PROPN
ejpam-6967	454	20	al	al	PROPN
ejpam-6967	454	21	.	.	PUNCT
ejpam-6967	454	22	/	/	SYM
ejpam-6967	454	23	eur	eur	PROPN
ejpam-6967	454	24	.	.	PUNCT
ejpam-6967	455	1	j.	j.	PROPN
ejpam-6967	455	2	pure	pure	PROPN
ejpam-6967	455	3	appl	appl	PROPN
ejpam-6967	455	4	.	.	PROPN
ejpam-6967	455	5	math	math	PROPN
ejpam-6967	455	6	,	,	PUNCT
ejpam-6967	455	7	18	18	NUM
ejpam-6967	455	8	(	(	PUNCT
ejpam-6967	455	9	4	4	NUM
ejpam-6967	455	10	)	)	PUNCT
ejpam-6967	455	11	(	(	PUNCT
ejpam-6967	455	12	2025	2025	NUM
ejpam-6967	455	13	)	)	PUNCT
ejpam-6967	455	14	,	,	PUNCT
ejpam-6967	455	15	6967	6967	NUM
ejpam-6967	455	16	27	27	NUM
ejpam-6967	455	17	of	of	ADP
ejpam-6967	455	18	29	29	NUM
ejpam-6967	455	19	resource	resource	NOUN
ejpam-6967	455	20	allocation	allocation	NOUN
ejpam-6967	455	21	,	,	PUNCT
ejpam-6967	455	22	emphasizing	emphasize	VERB
ejpam-6967	455	23	that	that	SCONJ
ejpam-6967	455	24	investments	investment	NOUN
ejpam-6967	455	25	in	in	ADP
ejpam-6967	455	26	proactive	proactive	ADJ
ejpam-6967	455	27	detection	detection	NOUN
ejpam-6967	455	28	,	,	PUNCT
ejpam-6967	455	29	rapid	rapid	ADJ
ejpam-6967	455	30	isolation	isolation	NOUN
ejpam-6967	455	31	,	,	PUNCT
ejpam-6967	455	32	and	and	CCONJ
ejpam-6967	455	33	efficient	efficient	ADJ
ejpam-6967	455	34	recovery	recovery	NOUN
ejpam-6967	455	35	yield	yield	VERB
ejpam-6967	455	36	the	the	DET
ejpam-6967	455	37	highest	high	ADJ
ejpam-6967	455	38	returns	return	NOUN
ejpam-6967	455	39	in	in	ADP
ejpam-6967	455	40	resilience	resilience	NOUN
ejpam-6967	455	41	.	.	PUNCT
ejpam-6967	456	1	by	by	ADP
ejpam-6967	456	2	translating	translate	VERB
ejpam-6967	456	3	the	the	DET
ejpam-6967	456	4	principles	principle	NOUN
ejpam-6967	456	5	of	of	ADP
ejpam-6967	456	6	mathematical	mathematical	ADJ
ejpam-6967	456	7	epidemiology	epidemiology	NOUN
ejpam-6967	456	8	into	into	ADP
ejpam-6967	456	9	actionable	actionable	ADJ
ejpam-6967	456	10	cybersecurity	cybersecurity	NOUN
ejpam-6967	456	11	insights	insight	NOUN
ejpam-6967	456	12	,	,	PUNCT
ejpam-6967	456	13	this	this	DET
ejpam-6967	456	14	research	research	NOUN
ejpam-6967	456	15	offers	offer	VERB
ejpam-6967	456	16	a	a	DET
ejpam-6967	456	17	powerful	powerful	ADJ
ejpam-6967	456	18	foundation	foundation	NOUN
ejpam-6967	456	19	for	for	ADP
ejpam-6967	456	20	building	build	VERB
ejpam-6967	456	21	more	more	ADV
ejpam-6967	456	22	defensible	defensible	ADJ
ejpam-6967	456	23	and	and	CCONJ
ejpam-6967	456	24	resilient	resilient	ADJ
ejpam-6967	456	25	digital	digital	ADJ
ejpam-6967	456	26	infrastructures	infrastructure	NOUN
ejpam-6967	456	27	in	in	ADP
ejpam-6967	456	28	an	an	DET
ejpam-6967	456	29	increasingly	increasingly	ADV
ejpam-6967	456	30	threatened	threaten	VERB
ejpam-6967	456	31	landscape	landscape	NOUN
ejpam-6967	456	32	.	.	PUNCT
ejpam-6967	457	1	acknowledgements	acknowledgement	NOUN
ejpam-6967	457	2	the	the	DET
ejpam-6967	457	3	authors	author	NOUN
ejpam-6967	457	4	would	would	AUX
ejpam-6967	457	5	like	like	VERB
ejpam-6967	457	6	to	to	PART
ejpam-6967	457	7	acknowledge	acknowledge	VERB
ejpam-6967	457	8	prince	prince	PROPN
ejpam-6967	457	9	sultan	sultan	PROPN
ejpam-6967	457	10	university	university	PROPN
ejpam-6967	457	11	and	and	CCONJ
ejpam-6967	457	12	eias	eia	VERB
ejpam-6967	457	13	lab	lab	NOUN
ejpam-6967	457	14	for	for	ADP
ejpam-6967	457	15	their	their	PRON
ejpam-6967	457	16	valuable	valuable	ADJ
ejpam-6967	457	17	support	support	NOUN
ejpam-6967	457	18	.	.	PUNCT
ejpam-6967	458	1	further	far	ADV
ejpam-6967	458	2	,	,	PUNCT
ejpam-6967	458	3	the	the	DET
ejpam-6967	458	4	authors	author	NOUN
ejpam-6967	458	5	would	would	AUX
ejpam-6967	458	6	like	like	VERB
ejpam-6967	458	7	to	to	PART
ejpam-6967	458	8	acknowledge	acknowledge	VERB
ejpam-6967	458	9	prince	prince	PROPN
ejpam-6967	458	10	sultan	sultan	PROPN
ejpam-6967	458	11	university	university	PROPN
ejpam-6967	458	12	for	for	ADP
ejpam-6967	458	13	paying	pay	VERB
ejpam-6967	458	14	the	the	DET
ejpam-6967	458	15	article	article	NOUN
ejpam-6967	458	16	processing	processing	NOUN
ejpam-6967	458	17	charges	charge	NOUN
ejpam-6967	458	18	(	(	PUNCT
ejpam-6967	458	19	apc	apc	PROPN
ejpam-6967	458	20	)	)	PUNCT
ejpam-6967	458	21	of	of	ADP
ejpam-6967	458	22	this	this	DET
ejpam-6967	458	23	publication	publication	NOUN
ejpam-6967	458	24	.	.	PUNCT
ejpam-6967	459	1	this	this	DET
ejpam-6967	459	2	paper	paper	NOUN
ejpam-6967	459	3	is	be	AUX
ejpam-6967	459	4	derived	derive	VERB
ejpam-6967	459	5	from	from	ADP
ejpam-6967	459	6	a	a	DET
ejpam-6967	459	7	research	research	NOUN
ejpam-6967	459	8	grant	grant	NOUN
ejpam-6967	459	9	“	"	PUNCT
ejpam-6967	459	10	cybersecurity	cybersecurity	NOUN
ejpam-6967	459	11	research	research	NOUN
ejpam-6967	459	12	and	and	CCONJ
ejpam-6967	459	13	innovation	innovation	NOUN
ejpam-6967	459	14	pioneers	pioneer	NOUN
ejpam-6967	459	15	grants	grant	NOUN
ejpam-6967	459	16	initiative	initiative	NOUN
ejpam-6967	459	17	”	"	PUNCT
ejpam-6967	459	18	funded	fund	VERB
ejpam-6967	459	19	by	by	ADP
ejpam-6967	459	20	the	the	DET
ejpam-6967	459	21	national	national	ADJ
ejpam-6967	459	22	program	program	NOUN
ejpam-6967	459	23	for	for	ADP
ejpam-6967	459	24	rdi	rdi	PROPN
ejpam-6967	459	25	in	in	ADP
ejpam-6967	459	26	cybersecurity	cybersecurity	NOUN
ejpam-6967	459	27	(	(	PUNCT
ejpam-6967	459	28	national	national	ADJ
ejpam-6967	459	29	cybersecurity	cybersecurity	NOUN
ejpam-6967	459	30	authority	authority	NOUN
ejpam-6967	459	31	)	)	PUNCT
ejpam-6967	459	32	kingdom	kingdom	NOUN
ejpam-6967	459	33	of	of	ADP
ejpam-6967	459	34	saudi	saudi	PROPN
ejpam-6967	459	35	arabia	arabia	PROPN
ejpam-6967	459	36	with	with	ADP
ejpam-6967	459	37	grant	grant	NOUN
ejpam-6967	459	38	number	number	NOUN
ejpam-6967	459	39	(	(	PUNCT
ejpam-6967	459	40	crpg-25	crpg-25	PROPN
ejpam-6967	459	41	-	-	PUNCT
ejpam-6967	459	42	3168	3168	NUM
ejpam-6967	459	43	)	)	PUNCT
ejpam-6967	459	44	.	.	PUNCT
ejpam-6967	460	1	the	the	DET
ejpam-6967	460	2	authors	author	NOUN
ejpam-6967	460	3	would	would	AUX
ejpam-6967	460	4	like	like	VERB
ejpam-6967	460	5	to	to	PART
ejpam-6967	460	6	acknowledge	acknowledge	VERB
ejpam-6967	460	7	prince	prince	PROPN
ejpam-6967	460	8	sultan	sultan	PROPN
ejpam-6967	460	9	university	university	PROPN
ejpam-6967	460	10	and	and	CCONJ
ejpam-6967	460	11	eias	eia	VERB
ejpam-6967	460	12	lab	lab	NOUN
ejpam-6967	460	13	for	for	ADP
ejpam-6967	460	14	their	their	PRON
ejpam-6967	460	15	valuable	valuable	ADJ
ejpam-6967	460	16	support	support	NOUN
ejpam-6967	460	17	.	.	PUNCT
ejpam-6967	461	1	conflict	conflict	NOUN
ejpam-6967	461	2	of	of	ADP
ejpam-6967	461	3	interest	interest	NOUN
ejpam-6967	461	4	we	we	PRON
ejpam-6967	461	5	have	have	VERB
ejpam-6967	461	6	no	no	DET
ejpam-6967	461	7	conflict	conflict	NOUN
ejpam-6967	461	8	of	of	ADP
ejpam-6967	461	9	interest	interest	NOUN
ejpam-6967	461	10	regarding	regard	VERB
ejpam-6967	461	11	this	this	DET
ejpam-6967	461	12	work	work	NOUN
ejpam-6967	461	13	.	.	PUNCT
ejpam-6967	462	1	data	datum	NOUN
ejpam-6967	462	2	availability	availability	NOUN
ejpam-6967	462	3	statement	statement	NOUN
ejpam-6967	462	4	all	all	DET
ejpam-6967	462	5	the	the	DET
ejpam-6967	462	6	data	datum	NOUN
ejpam-6967	462	7	used	use	VERB
ejpam-6967	462	8	in	in	ADP
ejpam-6967	462	9	this	this	DET
ejpam-6967	462	10	article	article	NOUN
ejpam-6967	462	11	are	be	AUX
ejpam-6967	462	12	included	include	VERB
ejpam-6967	462	13	in	in	ADP
ejpam-6967	462	14	the	the	DET
ejpam-6967	462	15	manuscript	manuscript	NOUN
ejpam-6967	462	16	.	.	PUNCT
ejpam-6967	463	1	no	no	DET
ejpam-6967	463	2	additional	additional	ADJ
ejpam-6967	463	3	datasets	dataset	NOUN
ejpam-6967	463	4	were	be	AUX
ejpam-6967	463	5	created	create	VERB
ejpam-6967	463	6	or	or	CCONJ
ejpam-6967	463	7	analyzed	analyze	VERB
ejpam-6967	463	8	.	.	PUNCT
ejpam-6967	464	1	ai	ai	VERB
ejpam-6967	464	2	involvement	involvement	NOUN
ejpam-6967	464	3	declaration	declaration	NOUN
ejpam-6967	464	4	the	the	DET
ejpam-6967	464	5	authors	author	NOUN
ejpam-6967	464	6	affirm	affirm	VERB
ejpam-6967	464	7	that	that	SCONJ
ejpam-6967	464	8	this	this	DET
ejpam-6967	464	9	research	research	NOUN
ejpam-6967	464	10	was	be	AUX
ejpam-6967	464	11	conducted	conduct	VERB
ejpam-6967	464	12	entirely	entirely	ADV
ejpam-6967	464	13	through	through	ADP
ejpam-6967	464	14	human	human	ADJ
ejpam-6967	464	15	intellectual	intellectual	ADJ
ejpam-6967	464	16	effort	effort	NOUN
ejpam-6967	464	17	,	,	PUNCT
ejpam-6967	464	18	without	without	ADP
ejpam-6967	464	19	the	the	DET
ejpam-6967	464	20	use	use	NOUN
ejpam-6967	464	21	of	of	ADP
ejpam-6967	464	22	artificial	artificial	ADJ
ejpam-6967	464	23	intelligence	intelligence	NOUN
ejpam-6967	464	24	tools	tool	NOUN
ejpam-6967	464	25	during	during	ADP
ejpam-6967	464	26	conceptualization	conceptualization	NOUN
ejpam-6967	464	27	,	,	PUNCT
ejpam-6967	464	28	analysis	analysis	NOUN
ejpam-6967	464	29	,	,	PUNCT
ejpam-6967	464	30	writing	writing	NOUN
ejpam-6967	464	31	,	,	PUNCT
ejpam-6967	464	32	or	or	CCONJ
ejpam-6967	464	33	editing	editing	NOUN
ejpam-6967	464	34	.	.	PUNCT
ejpam-6967	465	1	references	reference	NOUN
ejpam-6967	465	2	[	[	X
ejpam-6967	465	3	1	1	NUM
ejpam-6967	465	4	]	]	PUNCT
ejpam-6967	465	5	p.	p.	PROPN
ejpam-6967	465	6	wang	wang	PROPN
ejpam-6967	465	7	.	.	PUNCT
ejpam-6967	466	1	analysis	analysis	NOUN
ejpam-6967	466	2	of	of	ADP
ejpam-6967	466	3	computer	computer	NOUN
ejpam-6967	466	4	virus	virus	NOUN
ejpam-6967	466	5	defense	defense	NOUN
ejpam-6967	466	6	strategy	strategy	NOUN
ejpam-6967	466	7	based	base	VERB
ejpam-6967	466	8	on	on	ADP
ejpam-6967	466	9	network	network	NOUN
ejpam-6967	466	10	security	security	NOUN
ejpam-6967	466	11	.	.	PUNCT
ejpam-6967	467	1	academic	academic	ADJ
ejpam-6967	467	2	journal	journal	NOUN
ejpam-6967	467	3	of	of	ADP
ejpam-6967	467	4	computing	computing	PROPN
ejpam-6967	467	5	&	&	CCONJ
ejpam-6967	467	6	information	information	NOUN
ejpam-6967	467	7	science	science	PROPN
ejpam-6967	467	8	,	,	PUNCT
ejpam-6967	467	9	5(14):33–39	5(14):33–39	NUM
ejpam-6967	467	10	,	,	PUNCT
ejpam-6967	467	11	2022	2022	NUM
ejpam-6967	467	12	.	.	PUNCT
ejpam-6967	468	1	[	[	X
ejpam-6967	468	2	2	2	NUM
ejpam-6967	468	3	]	]	PUNCT
ejpam-6967	468	4	r.	r.	PROPN
ejpam-6967	468	5	anderson	anderson	PROPN
ejpam-6967	468	6	.	.	PUNCT
ejpam-6967	469	1	security	security	NOUN
ejpam-6967	469	2	engineering	engineering	PROPN
ejpam-6967	469	3	:	:	PUNCT
ejpam-6967	469	4	a	a	DET
ejpam-6967	469	5	guide	guide	NOUN
ejpam-6967	469	6	to	to	ADP
ejpam-6967	469	7	building	build	VERB
ejpam-6967	469	8	dependable	dependable	ADJ
ejpam-6967	469	9	distributed	distribute	VERB
ejpam-6967	469	10	systems	system	NOUN
ejpam-6967	469	11	.	.	PUNCT
ejpam-6967	470	1	wiley	wiley	PROPN
ejpam-6967	470	2	publishing	publishing	NOUN
ejpam-6967	470	3	,	,	PUNCT
ejpam-6967	470	4	2	2	NUM
ejpam-6967	470	5	edition	edition	NOUN
ejpam-6967	470	6	,	,	PUNCT
ejpam-6967	470	7	2008	2008	NUM
ejpam-6967	470	8	.	.	PUNCT
ejpam-6967	471	1	[	[	X
ejpam-6967	471	2	3	3	X
ejpam-6967	471	3	]	]	PUNCT
ejpam-6967	471	4	p.	p.	NOUN
ejpam-6967	471	5	rai	rai	PROPN
ejpam-6967	471	6	and	and	CCONJ
ejpam-6967	471	7	v.	v.	ADP
ejpam-6967	471	8	nain	nain	NOUN
ejpam-6967	471	9	.	.	PUNCT
ejpam-6967	472	1	stuxnet	stuxnet	PROPN
ejpam-6967	472	2	unveiled	unveil	VERB
ejpam-6967	472	3	:	:	PUNCT
ejpam-6967	472	4	the	the	DET
ejpam-6967	472	5	blueprint	blueprint	NOUN
ejpam-6967	472	6	for	for	ADP
ejpam-6967	472	7	modern	modern	ADJ
ejpam-6967	472	8	cyber	cyber	NOUN
ejpam-6967	472	9	conflict	conflict	NOUN
ejpam-6967	472	10	.	.	PUNCT
ejpam-6967	473	1	in	in	ADP
ejpam-6967	473	2	2024	2024	NUM
ejpam-6967	473	3	3rd	3rd	ADJ
ejpam-6967	473	4	edition	edition	NOUN
ejpam-6967	473	5	of	of	ADP
ejpam-6967	473	6	ieee	ieee	PROPN
ejpam-6967	473	7	delhi	delhi	PROPN
ejpam-6967	473	8	section	section	PROPN
ejpam-6967	473	9	flagship	flagship	NOUN
ejpam-6967	473	10	conference	conference	NOUN
ejpam-6967	473	11	(	(	PUNCT
ejpam-6967	473	12	delcon	delcon	NOUN
ejpam-6967	473	13	)	)	PUNCT
ejpam-6967	473	14	,	,	PUNCT
ejpam-6967	473	15	pages	page	NOUN
ejpam-6967	473	16	1–4	1–4	NUM
ejpam-6967	473	17	,	,	PUNCT
ejpam-6967	473	18	2024	2024	NUM
ejpam-6967	473	19	.	.	PUNCT
ejpam-6967	474	1	[	[	X
ejpam-6967	474	2	4	4	X
ejpam-6967	474	3	]	]	X
ejpam-6967	474	4	s.	s.	PROPN
ejpam-6967	474	5	mohurle	mohurle	PROPN
ejpam-6967	474	6	and	and	CCONJ
ejpam-6967	474	7	m.	m.	NOUN
ejpam-6967	474	8	patil	patil	PROPN
ejpam-6967	474	9	.	.	PUNCT
ejpam-6967	475	1	a	a	DET
ejpam-6967	475	2	brief	brief	ADJ
ejpam-6967	475	3	study	study	NOUN
ejpam-6967	475	4	of	of	ADP
ejpam-6967	475	5	wannacry	wannacry	PROPN
ejpam-6967	475	6	threat	threat	NOUN
ejpam-6967	475	7	:	:	PUNCT
ejpam-6967	475	8	ransomware	ransomware	NOUN
ejpam-6967	475	9	attack	attack	NOUN
ejpam-6967	475	10	2017	2017	NUM
ejpam-6967	475	11	.	.	PUNCT
ejpam-6967	476	1	international	international	ADJ
ejpam-6967	476	2	journal	journal	PROPN
ejpam-6967	476	3	,	,	PUNCT
ejpam-6967	476	4	8(5	8(5	NUM
ejpam-6967	476	5	)	)	PUNCT
ejpam-6967	476	6	,	,	PUNCT
ejpam-6967	476	7	2017	2017	NUM
ejpam-6967	476	8	.	.	PUNCT
ejpam-6967	477	1	g.	g.	PROPN
ejpam-6967	477	2	ali	ali	PROPN
ejpam-6967	477	3	et	et	PROPN
ejpam-6967	477	4	al	al	PROPN
ejpam-6967	477	5	.	.	PUNCT
ejpam-6967	477	6	/	/	SYM
ejpam-6967	477	7	eur	eur	PROPN
ejpam-6967	477	8	.	.	PUNCT
ejpam-6967	478	1	j.	j.	PROPN
ejpam-6967	478	2	pure	pure	PROPN
ejpam-6967	478	3	appl	appl	PROPN
ejpam-6967	478	4	.	.	PROPN
ejpam-6967	478	5	math	math	PROPN
ejpam-6967	478	6	,	,	PUNCT
ejpam-6967	478	7	18	18	NUM
ejpam-6967	478	8	(	(	PUNCT
ejpam-6967	478	9	4	4	NUM
ejpam-6967	478	10	)	)	PUNCT
ejpam-6967	478	11	(	(	PUNCT
ejpam-6967	478	12	2025	2025	NUM
ejpam-6967	478	13	)	)	PUNCT
ejpam-6967	478	14	,	,	PUNCT
ejpam-6967	478	15	6967	6967	NUM
ejpam-6967	478	16	28	28	NUM
ejpam-6967	478	17	of	of	ADP
ejpam-6967	478	18	29	29	NUM
ejpam-6967	479	1	[	[	SYM
ejpam-6967	479	2	5	5	NUM
ejpam-6967	479	3	]	]	PUNCT
ejpam-6967	479	4	a.	a.	NOUN
ejpam-6967	479	5	din	din	PROPN
ejpam-6967	479	6	and	and	CCONJ
ejpam-6967	479	7	y.	y.	PROPN
ejpam-6967	479	8	li	li	PROPN
ejpam-6967	479	9	.	.	PUNCT
ejpam-6967	480	1	optimizing	optimize	VERB
ejpam-6967	480	2	hiv	hiv	PROPN
ejpam-6967	480	3	/	/	SYM
ejpam-6967	480	4	aids	aids	PROPN
ejpam-6967	480	5	dynamics	dynamic	NOUN
ejpam-6967	480	6	:	:	PUNCT
ejpam-6967	480	7	stochastic	stochastic	ADJ
ejpam-6967	480	8	control	control	NOUN
ejpam-6967	480	9	strategies	strategy	NOUN
ejpam-6967	480	10	with	with	ADP
ejpam-6967	480	11	education	education	NOUN
ejpam-6967	480	12	and	and	CCONJ
ejpam-6967	480	13	treatment	treatment	NOUN
ejpam-6967	480	14	.	.	PUNCT
ejpam-6967	481	1	the	the	DET
ejpam-6967	481	2	european	european	PROPN
ejpam-6967	481	3	physical	physical	PROPN
ejpam-6967	481	4	journal	journal	PROPN
ejpam-6967	481	5	plus	plus	CCONJ
ejpam-6967	481	6	,	,	PUNCT
ejpam-6967	481	7	139(9):812	139(9):812	NUM
ejpam-6967	481	8	,	,	PUNCT
ejpam-6967	481	9	2024	2024	NUM
ejpam-6967	481	10	.	.	PUNCT
ejpam-6967	482	1	[	[	X
ejpam-6967	482	2	6	6	NUM
ejpam-6967	482	3	]	]	PUNCT
ejpam-6967	482	4	j.	j.	PROPN
ejpam-6967	482	5	o.	o.	PROPN
ejpam-6967	482	6	kephart	kephart	PROPN
ejpam-6967	482	7	and	and	CCONJ
ejpam-6967	482	8	s.	s.	PROPN
ejpam-6967	482	9	r.	r.	PROPN
ejpam-6967	482	10	white	white	PROPN
ejpam-6967	482	11	.	.	PUNCT
ejpam-6967	483	1	measuring	measure	VERB
ejpam-6967	483	2	and	and	CCONJ
ejpam-6967	483	3	modeling	model	VERB
ejpam-6967	483	4	computer	computer	NOUN
ejpam-6967	483	5	virus	virus	NOUN
ejpam-6967	483	6	prevalence	prevalence	NOUN
ejpam-6967	483	7	.	.	PUNCT
ejpam-6967	484	1	in	in	ADP
ejpam-6967	484	2	proceedings	proceeding	NOUN
ejpam-6967	484	3	of	of	ADP
ejpam-6967	484	4	the	the	DET
ejpam-6967	484	5	1993	1993	NUM
ejpam-6967	484	6	ieee	ieee	NOUN
ejpam-6967	484	7	computer	computer	NOUN
ejpam-6967	484	8	society	society	NOUN
ejpam-6967	484	9	symposium	symposium	NOUN
ejpam-6967	484	10	on	on	ADP
ejpam-6967	484	11	research	research	NOUN
ejpam-6967	484	12	in	in	ADP
ejpam-6967	484	13	security	security	NOUN
ejpam-6967	484	14	and	and	CCONJ
ejpam-6967	484	15	privacy	privacy	NOUN
ejpam-6967	484	16	,	,	PUNCT
ejpam-6967	484	17	pages	page	NOUN
ejpam-6967	484	18	2–15	2–15	PROPN
ejpam-6967	484	19	,	,	PUNCT
ejpam-6967	484	20	1993	1993	NUM
ejpam-6967	484	21	.	.	PUNCT
ejpam-6967	485	1	[	[	X
ejpam-6967	485	2	7	7	X
ejpam-6967	485	3	]	]	X
ejpam-6967	485	4	r.	r.	PROPN
ejpam-6967	485	5	pastor	pastor	NOUN
ejpam-6967	485	6	-	-	PUNCT
ejpam-6967	485	7	satorras	satorra	NOUN
ejpam-6967	485	8	,	,	PUNCT
ejpam-6967	485	9	c.	c.	PROPN
ejpam-6967	485	10	castellano	castellano	NOUN
ejpam-6967	485	11	,	,	PUNCT
ejpam-6967	485	12	p.	p.	PROPN
ejpam-6967	485	13	van	van	PROPN
ejpam-6967	485	14	mieghem	mieghem	PROPN
ejpam-6967	485	15	,	,	PUNCT
ejpam-6967	485	16	and	and	CCONJ
ejpam-6967	485	17	a.	a.	NOUN
ejpam-6967	485	18	vespignani	vespignani	PROPN
ejpam-6967	485	19	.	.	PUNCT
ejpam-6967	486	1	epidemic	epidemic	NOUN
ejpam-6967	486	2	processes	process	NOUN
ejpam-6967	486	3	in	in	ADP
ejpam-6967	486	4	complex	complex	ADJ
ejpam-6967	486	5	networks	network	NOUN
ejpam-6967	486	6	.	.	PUNCT
ejpam-6967	487	1	reviews	review	NOUN
ejpam-6967	487	2	of	of	ADP
ejpam-6967	487	3	modern	modern	ADJ
ejpam-6967	487	4	physics	physic	NOUN
ejpam-6967	487	5	,	,	PUNCT
ejpam-6967	487	6	87(3):925	87(3):925	NUM
ejpam-6967	487	7	,	,	PUNCT
ejpam-6967	487	8	2015	2015	NUM
ejpam-6967	487	9	.	.	PUNCT
ejpam-6967	488	1	[	[	X
ejpam-6967	488	2	8	8	NUM
ejpam-6967	488	3	]	]	PUNCT
ejpam-6967	488	4	a.	a.	NOUN
ejpam-6967	488	5	a.	a.	NOUN
ejpam-6967	488	6	ghorbani	ghorbani	PROPN
ejpam-6967	488	7	,	,	PUNCT
ejpam-6967	488	8	w.	w.	PROPN
ejpam-6967	488	9	lu	lu	PROPN
ejpam-6967	488	10	,	,	PUNCT
ejpam-6967	488	11	and	and	CCONJ
ejpam-6967	488	12	m.	m.	NOUN
ejpam-6967	488	13	tavallaee	tavallaee	PROPN
ejpam-6967	488	14	.	.	PUNCT
ejpam-6967	489	1	network	network	NOUN
ejpam-6967	489	2	intrusion	intrusion	PROPN
ejpam-6967	489	3	detection	detection	NOUN
ejpam-6967	489	4	and	and	CCONJ
ejpam-6967	489	5	prevention	prevention	NOUN
ejpam-6967	489	6	:	:	PUNCT
ejpam-6967	489	7	concepts	concept	NOUN
ejpam-6967	489	8	and	and	CCONJ
ejpam-6967	489	9	techniques	technique	NOUN
ejpam-6967	489	10	,	,	PUNCT
ejpam-6967	489	11	volume	volume	NOUN
ejpam-6967	489	12	47	47	NUM
ejpam-6967	489	13	of	of	ADP
ejpam-6967	489	14	advances	advance	NOUN
ejpam-6967	489	15	in	in	ADP
ejpam-6967	489	16	information	information	NOUN
ejpam-6967	489	17	security	security	NOUN
ejpam-6967	489	18	.	.	PUNCT
ejpam-6967	490	1	springer	springer	NOUN
ejpam-6967	490	2	science	science	PROPN
ejpam-6967	490	3	&	&	CCONJ
ejpam-6967	490	4	business	business	NOUN
ejpam-6967	490	5	media	medium	NOUN
ejpam-6967	490	6	,	,	PUNCT
ejpam-6967	490	7	2009	2009	NUM
ejpam-6967	490	8	.	.	PUNCT
ejpam-6967	491	1	[	[	X
ejpam-6967	491	2	9	9	NUM
ejpam-6967	491	3	]	]	PUNCT
ejpam-6967	491	4	z.	z.	PROPN
ejpam-6967	491	5	chen	chen	PROPN
ejpam-6967	491	6	,	,	PUNCT
ejpam-6967	491	7	l.	l.	PROPN
ejpam-6967	491	8	gao	gao	PROPN
ejpam-6967	491	9	,	,	PUNCT
ejpam-6967	491	10	and	and	CCONJ
ejpam-6967	491	11	k.	k.	PROPN
ejpam-6967	491	12	kwiat	kwiat	PROPN
ejpam-6967	491	13	.	.	PUNCT
ejpam-6967	492	1	modeling	model	VERB
ejpam-6967	492	2	the	the	DET
ejpam-6967	492	3	spread	spread	NOUN
ejpam-6967	492	4	of	of	ADP
ejpam-6967	492	5	active	active	ADJ
ejpam-6967	492	6	worms	worm	NOUN
ejpam-6967	492	7	.	.	PUNCT
ejpam-6967	493	1	in	in	ADP
ejpam-6967	493	2	proceedings	proceeding	NOUN
ejpam-6967	493	3	ieee	ieee	PROPN
ejpam-6967	493	4	infocom	infocom	PROPN
ejpam-6967	493	5	2003	2003	NUM
ejpam-6967	493	6	,	,	PUNCT
ejpam-6967	493	7	volume	volume	NOUN
ejpam-6967	493	8	3	3	NUM
ejpam-6967	493	9	,	,	PUNCT
ejpam-6967	493	10	pages	page	NOUN
ejpam-6967	493	11	1890–1900	1890–1900	NUM
ejpam-6967	493	12	,	,	PUNCT
ejpam-6967	493	13	2003	2003	NUM
ejpam-6967	493	14	.	.	PUNCT
ejpam-6967	494	1	[	[	X
ejpam-6967	494	2	10	10	NUM
ejpam-6967	494	3	]	]	X
ejpam-6967	494	4	h.	h.	PROPN
ejpam-6967	494	5	j.	j.	PROPN
ejpam-6967	494	6	hadi	hadi	PROPN
ejpam-6967	494	7	,	,	PUNCT
ejpam-6967	494	8	a.	a.	PROPN
ejpam-6967	494	9	khalid	khalid	PROPN
ejpam-6967	494	10	,	,	PUNCT
ejpam-6967	494	11	f.	f.	PROPN
ejpam-6967	494	12	b.	b.	PROPN
ejpam-6967	494	13	hussain	hussain	PROPN
ejpam-6967	494	14	,	,	PUNCT
ejpam-6967	494	15	n.	n.	PROPN
ejpam-6967	494	16	ahmad	ahmad	PROPN
ejpam-6967	494	17	,	,	PUNCT
ejpam-6967	494	18	and	and	CCONJ
ejpam-6967	494	19	m.	m.	NOUN
ejpam-6967	494	20	a.	a.	NOUN
ejpam-6967	494	21	alshara	alshara	PROPN
ejpam-6967	494	22	.	.	PUNCT
ejpam-6967	495	1	flsh	flsh	PROPN
ejpam-6967	495	2	:	:	PUNCT
ejpam-6967	495	3	a	a	DET
ejpam-6967	495	4	framework	framework	NOUN
ejpam-6967	495	5	leveraging	leverage	VERB
ejpam-6967	495	6	similarity	similarity	NOUN
ejpam-6967	495	7	hashing	hashing	NOUN
ejpam-6967	495	8	for	for	ADP
ejpam-6967	495	9	android	android	PROPN
ejpam-6967	495	10	malware	malware	NOUN
ejpam-6967	495	11	and	and	CCONJ
ejpam-6967	495	12	variant	variant	ADJ
ejpam-6967	495	13	detection	detection	NOUN
ejpam-6967	495	14	.	.	PUNCT
ejpam-6967	496	1	ieee	ieee	NOUN
ejpam-6967	496	2	access	access	NOUN
ejpam-6967	496	3	,	,	PUNCT
ejpam-6967	496	4	2025	2025	NUM
ejpam-6967	496	5	.	.	PUNCT
ejpam-6967	497	1	[	[	X
ejpam-6967	497	2	11	11	NUM
ejpam-6967	497	3	]	]	X
ejpam-6967	497	4	n.	n.	PROPN
ejpam-6967	497	5	ahmad	ahmad	PROPN
ejpam-6967	497	6	,	,	PUNCT
ejpam-6967	497	7	a.	a.	PROPN
ejpam-6967	497	8	s.	s.	PROPN
ejpam-6967	497	9	rana	rana	PROPN
ejpam-6967	497	10	,	,	PUNCT
ejpam-6967	497	11	h.	h.	PROPN
ejpam-6967	497	12	j.	j.	PROPN
ejpam-6967	497	13	hadi	hadi	PROPN
ejpam-6967	497	14	,	,	PUNCT
ejpam-6967	497	15	f.	f.	PROPN
ejpam-6967	497	16	b.	b.	PROPN
ejpam-6967	497	17	hussain	hussain	PROPN
ejpam-6967	497	18	,	,	PUNCT
ejpam-6967	497	19	p.	p.	NOUN
ejpam-6967	497	20	chakrabarti	chakrabarti	PROPN
ejpam-6967	497	21	,	,	PUNCT
ejpam-6967	497	22	m.	m.	NOUN
ejpam-6967	497	23	a.	a.	NOUN
ejpam-6967	497	24	alshara	alshara	PROPN
ejpam-6967	497	25	,	,	PUNCT
ejpam-6967	497	26	and	and	CCONJ
ejpam-6967	497	27	t.	t.	PROPN
ejpam-6967	497	28	chakrabarti	chakrabarti	PROPN
ejpam-6967	497	29	.	.	PUNCT
ejpam-6967	498	1	geaad	geaad	NOUN
ejpam-6967	498	2	:	:	PUNCT
ejpam-6967	498	3	generating	generate	VERB
ejpam-6967	498	4	evasive	evasive	ADJ
ejpam-6967	498	5	adversarial	adversarial	ADJ
ejpam-6967	498	6	attacks	attack	NOUN
ejpam-6967	498	7	against	against	ADP
ejpam-6967	498	8	android	android	PROPN
ejpam-6967	498	9	malware	malware	NOUN
ejpam-6967	498	10	defense	defense	NOUN
ejpam-6967	498	11	.	.	PUNCT
ejpam-6967	499	1	scientific	scientific	ADJ
ejpam-6967	499	2	reports	report	NOUN
ejpam-6967	499	3	,	,	PUNCT
ejpam-6967	499	4	15(1):11867	15(1):11867	NUM
ejpam-6967	499	5	,	,	PUNCT
ejpam-6967	499	6	2025	2025	NUM
ejpam-6967	499	7	.	.	PUNCT
ejpam-6967	500	1	[	[	X
ejpam-6967	500	2	12	12	NUM
ejpam-6967	500	3	]	]	PUNCT
ejpam-6967	500	4	a.	a.	NOUN
ejpam-6967	500	5	hawana	hawana	PROPN
ejpam-6967	500	6	,	,	PUNCT
ejpam-6967	500	7	e.	e.	PROPN
ejpam-6967	500	8	s.	s.	PROPN
ejpam-6967	500	9	hassan	hassan	PROPN
ejpam-6967	500	10	,	,	PUNCT
ejpam-6967	500	11	w.	w.	PROPN
ejpam-6967	500	12	el	el	PROPN
ejpam-6967	500	13	-	-	PUNCT
ejpam-6967	500	14	shafai	shafai	PROPN
ejpam-6967	500	15	,	,	PUNCT
ejpam-6967	500	16	and	and	CCONJ
ejpam-6967	500	17	s.	s.	PROPN
ejpam-6967	500	18	a.	a.	PROPN
ejpam-6967	500	19	el	el	PROPN
ejpam-6967	500	20	-	-	PUNCT
ejpam-6967	500	21	dolil	dolil	NOUN
ejpam-6967	500	22	.	.	PUNCT
ejpam-6967	501	1	enhancing	enhance	VERB
ejpam-6967	501	2	malware	malware	NOUN
ejpam-6967	501	3	detection	detection	NOUN
ejpam-6967	501	4	with	with	ADP
ejpam-6967	501	5	deep	deep	ADJ
ejpam-6967	501	6	learning	learn	VERB
ejpam-6967	501	7	convolutional	convolutional	ADJ
ejpam-6967	501	8	neural	neural	ADJ
ejpam-6967	501	9	networks	network	NOUN
ejpam-6967	501	10	:	:	PUNCT
ejpam-6967	501	11	investigating	investigate	VERB
ejpam-6967	501	12	the	the	DET
ejpam-6967	501	13	impact	impact	NOUN
ejpam-6967	501	14	of	of	ADP
ejpam-6967	501	15	image	image	NOUN
ejpam-6967	501	16	size	size	NOUN
ejpam-6967	501	17	variations	variation	NOUN
ejpam-6967	501	18	.	.	PUNCT
ejpam-6967	502	1	security	security	NOUN
ejpam-6967	502	2	and	and	CCONJ
ejpam-6967	502	3	privacy	privacy	NOUN
ejpam-6967	502	4	,	,	PUNCT
ejpam-6967	502	5	8(2):e70000	8(2):e70000	NUM
ejpam-6967	502	6	,	,	PUNCT
ejpam-6967	502	7	2025	2025	NUM
ejpam-6967	502	8	.	.	PUNCT
ejpam-6967	503	1	[	[	X
ejpam-6967	503	2	13	13	NUM
ejpam-6967	503	3	]	]	PUNCT
ejpam-6967	503	4	s.	s.	PROPN
ejpam-6967	503	5	staniford	staniford	PROPN
ejpam-6967	503	6	,	,	PUNCT
ejpam-6967	503	7	v.	v.	PROPN
ejpam-6967	503	8	paxson	paxson	PROPN
ejpam-6967	503	9	,	,	PUNCT
ejpam-6967	503	10	and	and	CCONJ
ejpam-6967	503	11	n.	n.	PROPN
ejpam-6967	503	12	weaver	weaver	PROPN
ejpam-6967	503	13	.	.	PUNCT
ejpam-6967	504	1	how	how	SCONJ
ejpam-6967	504	2	to	to	PART
ejpam-6967	504	3	own	own	VERB
ejpam-6967	504	4	the	the	DET
ejpam-6967	504	5	internet	internet	NOUN
ejpam-6967	504	6	in	in	ADP
ejpam-6967	504	7	your	your	PRON
ejpam-6967	504	8	spare	spare	ADJ
ejpam-6967	504	9	time	time	NOUN
ejpam-6967	504	10	.	.	PUNCT
ejpam-6967	505	1	in	in	ADP
ejpam-6967	505	2	proceedings	proceeding	NOUN
ejpam-6967	505	3	of	of	ADP
ejpam-6967	505	4	the	the	DET
ejpam-6967	505	5	11th	11th	ADJ
ejpam-6967	505	6	usenix	usenix	PROPN
ejpam-6967	505	7	security	security	NOUN
ejpam-6967	505	8	symposium	symposium	NOUN
ejpam-6967	505	9	,	,	PUNCT
ejpam-6967	505	10	pages	page	NOUN
ejpam-6967	505	11	149–167	149–167	NUM
ejpam-6967	505	12	,	,	PUNCT
ejpam-6967	505	13	2002	2002	NUM
ejpam-6967	505	14	.	.	PUNCT
ejpam-6967	506	1	[	[	X
ejpam-6967	506	2	14	14	NUM
ejpam-6967	506	3	]	]	PUNCT
ejpam-6967	506	4	p.	p.	PROPN
ejpam-6967	506	5	j.	j.	PROPN
ejpam-6967	506	6	taylor	taylor	PROPN
ejpam-6967	506	7	,	,	PUNCT
ejpam-6967	506	8	t.	t.	PROPN
ejpam-6967	506	9	dargahi	dargahi	NOUN
ejpam-6967	506	10	,	,	PUNCT
ejpam-6967	506	11	a.	a.	NOUN
ejpam-6967	506	12	dehghantanha	dehghantanha	NOUN
ejpam-6967	506	13	,	,	PUNCT
ejpam-6967	506	14	r.	r.	PROPN
ejpam-6967	506	15	m.	m.	PROPN
ejpam-6967	506	16	parizi	parizi	PROPN
ejpam-6967	506	17	,	,	PUNCT
ejpam-6967	506	18	and	and	CCONJ
ejpam-6967	506	19	k.	k.	PROPN
ejpam-6967	506	20	k.	k.	PROPN
ejpam-6967	506	21	r.	r.	PROPN
ejpam-6967	506	22	choo	choo	PROPN
ejpam-6967	506	23	.	.	PUNCT
ejpam-6967	507	1	a	a	DET
ejpam-6967	507	2	systematic	systematic	ADJ
ejpam-6967	507	3	literature	literature	NOUN
ejpam-6967	507	4	review	review	NOUN
ejpam-6967	507	5	of	of	ADP
ejpam-6967	507	6	blockchain	blockchain	PROPN
ejpam-6967	507	7	cybersecurity	cybersecurity	PROPN
ejpam-6967	507	8	.	.	PUNCT
ejpam-6967	508	1	digital	digital	ADJ
ejpam-6967	508	2	communications	communication	NOUN
ejpam-6967	508	3	and	and	CCONJ
ejpam-6967	508	4	networks	network	NOUN
ejpam-6967	508	5	,	,	PUNCT
ejpam-6967	508	6	6(2):147–156	6(2):147–156	NUM
ejpam-6967	508	7	,	,	PUNCT
ejpam-6967	508	8	2019	2019	NUM
ejpam-6967	508	9	.	.	PUNCT
ejpam-6967	509	1	[	[	X
ejpam-6967	509	2	15	15	NUM
ejpam-6967	509	3	]	]	X
ejpam-6967	509	4	m.	m.	NOUN
ejpam-6967	509	5	guri	guri	PROPN
ejpam-6967	509	6	.	.	PUNCT
ejpam-6967	509	7	usbee	usbee	PROPN
ejpam-6967	509	8	:	:	PUNCT
ejpam-6967	509	9	air	air	NOUN
ejpam-6967	509	10	-	-	PUNCT
ejpam-6967	509	11	gap	gap	NOUN
ejpam-6967	509	12	covert	covert	NOUN
ejpam-6967	509	13	-	-	PUNCT
ejpam-6967	509	14	channel	channel	NOUN
ejpam-6967	509	15	via	via	ADP
ejpam-6967	509	16	electromagnetic	electromagnetic	ADJ
ejpam-6967	509	17	emission	emission	NOUN
ejpam-6967	509	18	from	from	ADP
ejpam-6967	509	19	usb	usb	PRON
ejpam-6967	509	20	.	.	PUNCT
ejpam-6967	510	1	in	in	ADP
ejpam-6967	510	2	2016	2016	NUM
ejpam-6967	510	3	ieee	ieee	NOUN
ejpam-6967	510	4	35th	35th	ADJ
ejpam-6967	510	5	symposium	symposium	NOUN
ejpam-6967	510	6	on	on	ADP
ejpam-6967	510	7	reliable	reliable	ADJ
ejpam-6967	510	8	distributed	distribute	VERB
ejpam-6967	510	9	systems	system	NOUN
ejpam-6967	510	10	(	(	PUNCT
ejpam-6967	510	11	srds	srd	NOUN
ejpam-6967	510	12	)	)	PUNCT
ejpam-6967	510	13	,	,	PUNCT
ejpam-6967	510	14	pages	page	NOUN
ejpam-6967	510	15	1–10	1–10	PROPN
ejpam-6967	510	16	,	,	PUNCT
ejpam-6967	510	17	2016	2016	NUM
ejpam-6967	510	18	.	.	PUNCT
ejpam-6967	511	1	[	[	X
ejpam-6967	511	2	16	16	NUM
ejpam-6967	511	3	]	]	PUNCT
ejpam-6967	511	4	l.	l.	PROPN
ejpam-6967	511	5	x.	x.	PROPN
ejpam-6967	511	6	yang	yang	PROPN
ejpam-6967	511	7	and	and	CCONJ
ejpam-6967	511	8	x.	x.	PROPN
ejpam-6967	511	9	yang	yang	PROPN
ejpam-6967	511	10	.	.	PUNCT
ejpam-6967	512	1	the	the	DET
ejpam-6967	512	2	spread	spread	NOUN
ejpam-6967	512	3	of	of	ADP
ejpam-6967	512	4	computer	computer	NOUN
ejpam-6967	512	5	viruses	virus	NOUN
ejpam-6967	512	6	under	under	ADP
ejpam-6967	512	7	the	the	DET
ejpam-6967	512	8	influence	influence	NOUN
ejpam-6967	512	9	of	of	ADP
ejpam-6967	512	10	removable	removable	ADJ
ejpam-6967	512	11	storage	storage	NOUN
ejpam-6967	512	12	devices	device	NOUN
ejpam-6967	512	13	.	.	PUNCT
ejpam-6967	513	1	applied	apply	VERB
ejpam-6967	513	2	mathematics	mathematic	NOUN
ejpam-6967	513	3	and	and	CCONJ
ejpam-6967	513	4	computation	computation	NOUN
ejpam-6967	513	5	,	,	PUNCT
ejpam-6967	513	6	219(8):3914–3922	219(8):3914–3922	NUM
ejpam-6967	513	7	,	,	PUNCT
ejpam-6967	513	8	2012	2012	NUM
ejpam-6967	513	9	.	.	PUNCT
ejpam-6967	514	1	[	[	X
ejpam-6967	514	2	17	17	NUM
ejpam-6967	514	3	]	]	PUNCT
ejpam-6967	514	4	m.	m.	NOUN
ejpam-6967	514	5	t.	t.	PROPN
ejpam-6967	514	6	jafar	jafar	PROPN
ejpam-6967	514	7	,	,	PUNCT
ejpam-6967	514	8	l.	l.	PROPN
ejpam-6967	514	9	x.	x.	PROPN
ejpam-6967	514	10	yang	yang	PROPN
ejpam-6967	514	11	,	,	PUNCT
ejpam-6967	514	12	g.	g.	PROPN
ejpam-6967	514	13	li	li	PROPN
ejpam-6967	514	14	,	,	PUNCT
ejpam-6967	514	15	and	and	CCONJ
ejpam-6967	514	16	x.	x.	PROPN
ejpam-6967	514	17	yang	yang	PROPN
ejpam-6967	514	18	.	.	PUNCT
ejpam-6967	515	1	optimal	optimal	ADJ
ejpam-6967	515	2	control	control	NOUN
ejpam-6967	515	3	of	of	ADP
ejpam-6967	515	4	malware	malware	NOUN
ejpam-6967	515	5	propagation	propagation	NOUN
ejpam-6967	515	6	in	in	ADP
ejpam-6967	515	7	iot	iot	PROPN
ejpam-6967	515	8	networks	network	NOUN
ejpam-6967	515	9	,	,	PUNCT
ejpam-6967	515	10	2024	2024	NUM
ejpam-6967	515	11	.	.	PUNCT
ejpam-6967	516	1	arxiv:2401.11076	arxiv:2401.11076	NOUN
ejpam-6967	516	2	.	.	PUNCT
ejpam-6967	517	1	[	[	X
ejpam-6967	517	2	18	18	NUM
ejpam-6967	517	3	]	]	X
ejpam-6967	517	4	s.	s.	PROPN
ejpam-6967	517	5	muthukumar	muthukumar	PROPN
ejpam-6967	517	6	,	,	PUNCT
ejpam-6967	517	7	a.	a.	NOUN
ejpam-6967	517	8	balakumar	balakumar	PROPN
ejpam-6967	517	9	,	,	PUNCT
ejpam-6967	517	10	and	and	CCONJ
ejpam-6967	517	11	v.	v.	ADP
ejpam-6967	517	12	chinnadurai	chinnadurai	PROPN
ejpam-6967	517	13	.	.	PUNCT
ejpam-6967	518	1	the	the	DET
ejpam-6967	518	2	dynamics	dynamic	NOUN
ejpam-6967	518	3	of	of	ADP
ejpam-6967	518	4	the	the	DET
ejpam-6967	518	5	fractional	fractional	ADJ
ejpam-6967	518	6	seiqr	seiqr	ADJ
ejpam-6967	518	7	malware	malware	NOUN
ejpam-6967	518	8	spread	spread	VERB
ejpam-6967	518	9	model	model	NOUN
ejpam-6967	518	10	on	on	ADP
ejpam-6967	518	11	wireless	wireless	ADJ
ejpam-6967	518	12	sensor	sensor	NOUN
ejpam-6967	518	13	networks	network	NOUN
ejpam-6967	518	14	.	.	PUNCT
ejpam-6967	519	1	journal	journal	NOUN
ejpam-6967	519	2	of	of	ADP
ejpam-6967	519	3	analysis	analysis	NOUN
ejpam-6967	519	4	,	,	PUNCT
ejpam-6967	519	5	32(4):2349–2370	32(4):2349–2370	NUM
ejpam-6967	519	6	,	,	PUNCT
ejpam-6967	519	7	2024	2024	NUM
ejpam-6967	519	8	.	.	PUNCT
ejpam-6967	520	1	[	[	X
ejpam-6967	520	2	19	19	NUM
ejpam-6967	520	3	]	]	PUNCT
ejpam-6967	520	4	s.	s.	PROPN
ejpam-6967	520	5	hosseini	hosseini	PROPN
ejpam-6967	520	6	.	.	PUNCT
ejpam-6967	521	1	defense	defense	PROPN
ejpam-6967	521	2	against	against	ADP
ejpam-6967	521	3	malware	malware	NOUN
ejpam-6967	521	4	propagation	propagation	NOUN
ejpam-6967	521	5	in	in	ADP
ejpam-6967	521	6	complex	complex	ADJ
ejpam-6967	521	7	heterogeneous	heterogeneous	ADJ
ejpam-6967	521	8	networks	network	NOUN
ejpam-6967	521	9	.	.	PUNCT
ejpam-6967	522	1	cluster	cluster	NOUN
ejpam-6967	522	2	computing	computing	NOUN
ejpam-6967	522	3	,	,	PUNCT
ejpam-6967	522	4	24(2):1199–1215	24(2):1199–1215	NUM
ejpam-6967	522	5	,	,	PUNCT
ejpam-6967	522	6	2021	2021	NUM
ejpam-6967	522	7	.	.	PUNCT
ejpam-6967	523	1	[	[	X
ejpam-6967	523	2	20	20	NUM
ejpam-6967	523	3	]	]	PUNCT
ejpam-6967	523	4	b.	b.	PROPN
ejpam-6967	523	5	k.	k.	PROPN
ejpam-6967	523	6	mishra	mishra	PROPN
ejpam-6967	523	7	and	and	CCONJ
ejpam-6967	523	8	s.	s.	PROPN
ejpam-6967	523	9	k.	k.	PROPN
ejpam-6967	523	10	pandey	pandey	PROPN
ejpam-6967	523	11	.	.	PUNCT
ejpam-6967	524	1	dynamic	dynamic	ADJ
ejpam-6967	524	2	model	model	NOUN
ejpam-6967	524	3	of	of	ADP
ejpam-6967	524	4	worms	worm	NOUN
ejpam-6967	524	5	with	with	ADP
ejpam-6967	524	6	vertical	vertical	ADJ
ejpam-6967	524	7	transmission	transmission	NOUN
ejpam-6967	524	8	in	in	ADP
ejpam-6967	524	9	computer	computer	NOUN
ejpam-6967	524	10	network	network	NOUN
ejpam-6967	524	11	.	.	PUNCT
ejpam-6967	525	1	applied	apply	VERB
ejpam-6967	525	2	mathematics	mathematic	NOUN
ejpam-6967	525	3	and	and	CCONJ
ejpam-6967	525	4	computation	computation	NOUN
ejpam-6967	525	5	,	,	PUNCT
ejpam-6967	525	6	217(21):8438–8446	217(21):8438–8446	NUM
ejpam-6967	525	7	,	,	PUNCT
ejpam-6967	525	8	2018	2018	NUM
ejpam-6967	525	9	.	.	PUNCT
ejpam-6967	526	1	[	[	X
ejpam-6967	526	2	21	21	NUM
ejpam-6967	526	3	]	]	X
ejpam-6967	526	4	h.	h.	PROPN
ejpam-6967	526	5	yuan	yuan	PROPN
ejpam-6967	526	6	and	and	CCONJ
ejpam-6967	526	7	g.	g.	PROPN
ejpam-6967	526	8	chen	chen	PROPN
ejpam-6967	526	9	.	.	PUNCT
ejpam-6967	527	1	network	network	PROPN
ejpam-6967	527	2	virus	virus	NOUN
ejpam-6967	527	3	-	-	PUNCT
ejpam-6967	527	4	epidemic	epidemic	NOUN
ejpam-6967	527	5	model	model	NOUN
ejpam-6967	527	6	with	with	ADP
ejpam-6967	527	7	the	the	DET
ejpam-6967	527	8	point	point	NOUN
ejpam-6967	527	9	-	-	PUNCT
ejpam-6967	527	10	to	to	ADP
ejpam-6967	527	11	-	-	PUNCT
ejpam-6967	527	12	group	group	NOUN
ejpam-6967	527	13	inforg	inforg	PROPN
ejpam-6967	527	14	.	.	PUNCT
ejpam-6967	528	1	ali	ali	PROPN
ejpam-6967	528	2	et	et	PROPN
ejpam-6967	528	3	al	al	PROPN
ejpam-6967	528	4	.	.	PUNCT
ejpam-6967	528	5	/	/	SYM
ejpam-6967	528	6	eur	eur	PROPN
ejpam-6967	528	7	.	.	PUNCT
ejpam-6967	529	1	j.	j.	PROPN
ejpam-6967	529	2	pure	pure	PROPN
ejpam-6967	529	3	appl	appl	PROPN
ejpam-6967	529	4	.	.	PROPN
ejpam-6967	529	5	math	math	PROPN
ejpam-6967	529	6	,	,	PUNCT
ejpam-6967	529	7	18	18	NUM
ejpam-6967	529	8	(	(	PUNCT
ejpam-6967	529	9	4	4	NUM
ejpam-6967	529	10	)	)	PUNCT
ejpam-6967	529	11	(	(	PUNCT
ejpam-6967	529	12	2025	2025	NUM
ejpam-6967	529	13	)	)	PUNCT
ejpam-6967	529	14	,	,	PUNCT
ejpam-6967	529	15	6967	6967	NUM
ejpam-6967	529	16	29	29	NUM
ejpam-6967	529	17	of	of	ADP
ejpam-6967	529	18	29	29	NUM
ejpam-6967	529	19	mation	mation	NOUN
ejpam-6967	529	20	propagation	propagation	NOUN
ejpam-6967	529	21	.	.	PUNCT
ejpam-6967	530	1	applied	apply	VERB
ejpam-6967	530	2	mathematics	mathematic	NOUN
ejpam-6967	530	3	and	and	CCONJ
ejpam-6967	530	4	computation	computation	NOUN
ejpam-6967	530	5	,	,	PUNCT
ejpam-6967	530	6	219(2):515–522	219(2):515–522	NUM
ejpam-6967	530	7	,	,	PUNCT
ejpam-6967	530	8	2011	2011	NUM
ejpam-6967	530	9	.	.	PUNCT
ejpam-6967	531	1	[	[	X
ejpam-6967	531	2	22	22	NUM
ejpam-6967	531	3	]	]	X
ejpam-6967	531	4	i.	i.	NOUN
ejpam-6967	531	5	shah	shah	PROPN
ejpam-6967	531	6	,	,	PUNCT
ejpam-6967	531	7	i.	i.	PROPN
ejpam-6967	531	8	alrabaiah	alrabaiah	PROPN
ejpam-6967	531	9	,	,	PUNCT
ejpam-6967	531	10	h.	h.	PROPN
ejpam-6967	531	11	alrabaiah	alrabaiah	PROPN
ejpam-6967	531	12	,	,	PUNCT
ejpam-6967	531	13	and	and	CCONJ
ejpam-6967	531	14	b.	b.	PROPN
ejpam-6967	531	15	ozdemir	ozdemir	PROPN
ejpam-6967	531	16	.	.	PUNCT
ejpam-6967	532	1	using	use	VERB
ejpam-6967	532	2	advanced	advanced	ADJ
ejpam-6967	532	3	analysis	analysis	NOUN
ejpam-6967	532	4	together	together	ADV
ejpam-6967	532	5	with	with	ADP
ejpam-6967	532	6	fractional	fractional	ADJ
ejpam-6967	532	7	order	order	NOUN
ejpam-6967	532	8	derivative	derivative	NOUN
ejpam-6967	532	9	to	to	PART
ejpam-6967	532	10	investigate	investigate	VERB
ejpam-6967	532	11	a	a	DET
ejpam-6967	532	12	smoking	smoking	NOUN
ejpam-6967	532	13	tobacco	tobacco	NOUN
ejpam-6967	532	14	cancer	cancer	NOUN
ejpam-6967	532	15	model	model	NOUN
ejpam-6967	532	16	.	.	PUNCT
ejpam-6967	533	1	results	result	NOUN
ejpam-6967	533	2	in	in	ADP
ejpam-6967	533	3	physics	physics	NOUN
ejpam-6967	533	4	,	,	PUNCT
ejpam-6967	533	5	1(1):106700	1(1):106700	NUM
ejpam-6967	533	6	,	,	PUNCT
ejpam-6967	533	7	2023	2023	NUM
ejpam-6967	533	8	.	.	PUNCT
ejpam-6967	534	1	[	[	X
ejpam-6967	534	2	23	23	NUM
ejpam-6967	534	3	]	]	X
ejpam-6967	534	4	i.	i.	NOUN
ejpam-6967	534	5	shah	shah	PROPN
ejpam-6967	534	6	,	,	PUNCT
ejpam-6967	534	7	i.	i.	PROPN
ejpam-6967	534	8	ali	ali	PROPN
ejpam-6967	534	9	,	,	PUNCT
ejpam-6967	534	10	a.	a.	PROPN
ejpam-6967	534	11	ali	ali	PROPN
ejpam-6967	534	12	,	,	PUNCT
ejpam-6967	534	13	i.	i.	PROPN
ejpam-6967	534	14	ahmad	ahmad	PROPN
ejpam-6967	534	15	,	,	PUNCT
ejpam-6967	534	16	s.	s.	PROPN
ejpam-6967	534	17	islam	islam	PROPN
ejpam-6967	534	18	,	,	PUNCT
ejpam-6967	534	19	g.	g.	PROPN
ejpam-6967	534	20	rasool	rasool	PROPN
ejpam-6967	534	21	,	,	PUNCT
ejpam-6967	534	22	s.	s.	PROPN
ejpam-6967	534	23	formanova	formanova	PROPN
ejpam-6967	534	24	,	,	PUNCT
ejpam-6967	534	25	and	and	CCONJ
ejpam-6967	534	26	m.	m.	NOUN
ejpam-6967	534	27	kallel	kallel	NOUN
ejpam-6967	534	28	.	.	PUNCT
ejpam-6967	535	1	optimal	optimal	ADJ
ejpam-6967	535	2	control	control	NOUN
ejpam-6967	535	3	and	and	CCONJ
ejpam-6967	535	4	sensitivity	sensitivity	NOUN
ejpam-6967	535	5	analysis	analysis	NOUN
ejpam-6967	535	6	of	of	ADP
ejpam-6967	535	7	a	a	DET
ejpam-6967	535	8	mathematical	mathematical	ADJ
ejpam-6967	535	9	model	model	NOUN
ejpam-6967	535	10	for	for	ADP
ejpam-6967	535	11	mdr	mdr	PROPN
ejpam-6967	535	12	-	-	PROPN
ejpam-6967	535	13	tb	tb	ADP
ejpam-6967	535	14	transmission	transmission	NOUN
ejpam-6967	535	15	with	with	ADP
ejpam-6967	535	16	advanced	advanced	ADJ
ejpam-6967	535	17	treatment	treatment	NOUN
ejpam-6967	535	18	strategies	strategy	NOUN
ejpam-6967	535	19	.	.	PUNCT
ejpam-6967	536	1	the	the	DET
ejpam-6967	536	2	european	european	PROPN
ejpam-6967	536	3	physical	physical	PROPN
ejpam-6967	536	4	journal	journal	PROPN
ejpam-6967	536	5	plus	plus	CCONJ
ejpam-6967	536	6	,	,	PUNCT
ejpam-6967	536	7	140(6):1–15	140(6):1–15	NUM
ejpam-6967	536	8	,	,	PUNCT
ejpam-6967	536	9	2025	2025	NUM
ejpam-6967	536	10	.	.	PUNCT
ejpam-6967	537	1	[	[	X
ejpam-6967	537	2	24	24	NUM
ejpam-6967	537	3	]	]	PUNCT
ejpam-6967	537	4	s.	s.	PROPN
ejpam-6967	537	5	ahmad	ahmad	PROPN
ejpam-6967	537	6	,	,	PUNCT
ejpam-6967	537	7	n.	n.	PROPN
ejpam-6967	537	8	ahmad	ahmad	PROPN
ejpam-6967	537	9	,	,	PUNCT
ejpam-6967	537	10	and	and	CCONJ
ejpam-6967	537	11	i.	i.	PROPN
ejpam-6967	537	12	shah	shah	PROPN
ejpam-6967	537	13	.	.	PUNCT
ejpam-6967	538	1	stability	stability	NOUN
ejpam-6967	538	2	and	and	CCONJ
ejpam-6967	538	3	sensitivity	sensitivity	NOUN
ejpam-6967	538	4	analysis	analysis	NOUN
ejpam-6967	538	5	of	of	ADP
ejpam-6967	538	6	cyberattack	cyberattack	NOUN
ejpam-6967	538	7	propagation	propagation	NOUN
ejpam-6967	538	8	models	model	NOUN
ejpam-6967	538	9	in	in	ADP
ejpam-6967	538	10	computer	computer	NOUN
ejpam-6967	538	11	networks	network	NOUN
ejpam-6967	538	12	.	.	PUNCT
ejpam-6967	539	1	european	european	ADJ
ejpam-6967	539	2	journal	journal	PROPN
ejpam-6967	539	3	of	of	ADP
ejpam-6967	539	4	pure	pure	ADJ
ejpam-6967	539	5	and	and	CCONJ
ejpam-6967	539	6	applied	applied	ADJ
ejpam-6967	539	7	mathematics	mathematic	NOUN
ejpam-6967	539	8	,	,	PUNCT
ejpam-6967	539	9	18(3):6336	18(3):6336	NUM
ejpam-6967	539	10	,	,	PUNCT
ejpam-6967	539	11	2025	2025	NUM
ejpam-6967	539	12	.	.	PUNCT
ejpam-6967	540	1	[	[	X
ejpam-6967	540	2	25	25	NUM
ejpam-6967	540	3	]	]	PUNCT
ejpam-6967	540	4	s.	s.	PROPN
ejpam-6967	540	5	ahmad	ahmad	PROPN
ejpam-6967	540	6	,	,	PUNCT
ejpam-6967	540	7	m.	m.	NOUN
ejpam-6967	540	8	a.	a.	NOUN
ejpam-6967	540	9	elaffendi	elaffendi	PROPN
ejpam-6967	540	10	,	,	PUNCT
ejpam-6967	540	11	n.	n.	PROPN
ejpam-6967	540	12	ahmad	ahmad	PROPN
ejpam-6967	540	13	,	,	PUNCT
ejpam-6967	540	14	and	and	CCONJ
ejpam-6967	540	15	i.	i.	PROPN
ejpam-6967	540	16	shah	shah	PROPN
ejpam-6967	540	17	.	.	PUNCT
ejpam-6967	540	18	machine	machine	NOUN
ejpam-6967	540	19	learning	learning	NOUN
ejpam-6967	540	20	-	-	PUNCT
ejpam-6967	540	21	enhanced	enhance	VERB
ejpam-6967	540	22	simulation	simulation	NOUN
ejpam-6967	540	23	of	of	ADP
ejpam-6967	540	24	multi	multi	ADJ
ejpam-6967	540	25	-	-	ADJ
ejpam-6967	540	26	vector	vector	ADJ
ejpam-6967	540	27	email	email	NOUN
ejpam-6967	540	28	malware	malware	NOUN
ejpam-6967	540	29	spread	spread	VERB
ejpam-6967	540	30	in	in	ADP
ejpam-6967	540	31	organizational	organizational	ADJ
ejpam-6967	540	32	networks	network	NOUN
ejpam-6967	540	33	.	.	PUNCT
ejpam-6967	541	1	european	european	ADJ
ejpam-6967	541	2	journal	journal	PROPN
ejpam-6967	541	3	of	of	ADP
ejpam-6967	541	4	pure	pure	ADJ
ejpam-6967	541	5	and	and	CCONJ
ejpam-6967	541	6	applied	applied	ADJ
ejpam-6967	541	7	mathematics	mathematic	NOUN
ejpam-6967	541	8	,	,	PUNCT
ejpam-6967	541	9	18(3):6542	18(3):6542	NUM
ejpam-6967	541	10	,	,	PUNCT
ejpam-6967	541	11	2025	2025	NUM
ejpam-6967	541	12	.	.	PUNCT
ejpam-6967	542	1	[	[	X
ejpam-6967	542	2	26	26	NUM
ejpam-6967	542	3	]	]	PUNCT
ejpam-6967	542	4	s.	s.	PROPN
ejpam-6967	542	5	r.	r.	PROPN
ejpam-6967	542	6	chawla	chawla	PROPN
ejpam-6967	542	7	,	,	PUNCT
ejpam-6967	542	8	s.	s.	PROPN
ejpam-6967	542	9	ahmad	ahmad	PROPN
ejpam-6967	542	10	,	,	PUNCT
ejpam-6967	542	11	w.	w.	PROPN
ejpam-6967	542	12	albalawi	albalawi	PROPN
ejpam-6967	542	13	,	,	PUNCT
ejpam-6967	542	14	a.	a.	PROPN
ejpam-6967	542	15	khan	khan	PROPN
ejpam-6967	542	16	,	,	PUNCT
ejpam-6967	542	17	i.	i.	NOUN
ejpam-6967	542	18	shah	shah	PROPN
ejpam-6967	542	19	,	,	PUNCT
ejpam-6967	542	20	and	and	CCONJ
ejpam-6967	542	21	m.	m.	PROPN
ejpam-6967	542	22	r.	r.	PROPN
ejpam-6967	542	23	eid	eid	PROPN
ejpam-6967	542	24	.	.	PUNCT
ejpam-6967	543	1	stability	stability	NOUN
ejpam-6967	543	2	analysis	analysis	NOUN
ejpam-6967	543	3	of	of	ADP
ejpam-6967	543	4	a	a	DET
ejpam-6967	543	5	modified	modify	VERB
ejpam-6967	543	6	general	general	ADJ
ejpam-6967	543	7	seir	seir	NOUN
ejpam-6967	543	8	model	model	NOUN
ejpam-6967	543	9	with	with	ADP
ejpam-6967	543	10	harmonic	harmonic	ADJ
ejpam-6967	543	11	mean	mean	NOUN
ejpam-6967	543	12	type	type	NOUN
ejpam-6967	543	13	of	of	ADP
ejpam-6967	543	14	incidence	incidence	NOUN
ejpam-6967	543	15	rate	rate	NOUN
ejpam-6967	543	16	.	.	PUNCT
ejpam-6967	544	1	alexandria	alexandria	PROPN
ejpam-6967	544	2	engineering	engineering	PROPN
ejpam-6967	544	3	journal	journal	PROPN
ejpam-6967	544	4	,	,	PUNCT
ejpam-6967	544	5	2025	2025	NUM
ejpam-6967	544	6	.	.	PUNCT
ejpam-6967	545	1	[	[	X
ejpam-6967	545	2	27	27	NUM
ejpam-6967	545	3	]	]	X
ejpam-6967	545	4	f.	f.	PROPN
ejpam-6967	545	5	a.	a.	PROPN
ejpam-6967	545	6	aboaoja	aboaoja	PROPN
ejpam-6967	545	7	,	,	PUNCT
ejpam-6967	545	8	a.	a.	NOUN
ejpam-6967	545	9	zainal	zainal	PROPN
ejpam-6967	545	10	,	,	PUNCT
ejpam-6967	545	11	et	et	PROPN
ejpam-6967	545	12	al	al	PROPN
ejpam-6967	545	13	.	.	PROPN
ejpam-6967	545	14	malware	malware	NOUN
ejpam-6967	545	15	detection	detection	NOUN
ejpam-6967	545	16	issues	issue	NOUN
ejpam-6967	545	17	,	,	PUNCT
ejpam-6967	545	18	challenges	challenge	NOUN
ejpam-6967	545	19	,	,	PUNCT
ejpam-6967	545	20	and	and	CCONJ
ejpam-6967	545	21	future	future	ADJ
ejpam-6967	545	22	directions	direction	NOUN
ejpam-6967	545	23	:	:	PUNCT
ejpam-6967	545	24	a	a	DET
ejpam-6967	545	25	survey	survey	NOUN
ejpam-6967	545	26	.	.	PUNCT
ejpam-6967	546	1	applied	apply	VERB
ejpam-6967	546	2	sciences	science	NOUN
ejpam-6967	546	3	,	,	PUNCT
ejpam-6967	546	4	12(17):8482	12(17):8482	NUM
ejpam-6967	546	5	,	,	PUNCT
ejpam-6967	546	6	2022	2022	NUM
ejpam-6967	546	7	.	.	PUNCT
ejpam-6967	547	1	[	[	X
ejpam-6967	547	2	28	28	NUM
ejpam-6967	547	3	]	]	PUNCT
ejpam-6967	547	4	a.	a.	NOUN
ejpam-6967	547	5	sturaro	sturaro	NOUN
ejpam-6967	547	6	,	,	PUNCT
ejpam-6967	547	7	s.	s.	PROPN
ejpam-6967	547	8	silvestri	silvestri	PROPN
ejpam-6967	547	9	,	,	PUNCT
ejpam-6967	547	10	m.	m.	NOUN
ejpam-6967	547	11	conti	conti	PROPN
ejpam-6967	547	12	,	,	PUNCT
ejpam-6967	547	13	and	and	CCONJ
ejpam-6967	547	14	s.	s.	PROPN
ejpam-6967	547	15	k.	k.	PROPN
ejpam-6967	547	16	das	das	PROPN
ejpam-6967	547	17	.	.	PUNCT
ejpam-6967	548	1	a	a	DET
ejpam-6967	548	2	realistic	realistic	ADJ
ejpam-6967	548	3	model	model	NOUN
ejpam-6967	548	4	for	for	ADP
ejpam-6967	548	5	failure	failure	NOUN
ejpam-6967	548	6	propagation	propagation	NOUN
ejpam-6967	548	7	in	in	ADP
ejpam-6967	548	8	interdependent	interdependent	ADJ
ejpam-6967	548	9	cyber	cyber	ADJ
ejpam-6967	548	10	-	-	PUNCT
ejpam-6967	548	11	physical	physical	ADJ
ejpam-6967	548	12	systems	system	NOUN
ejpam-6967	548	13	.	.	PUNCT
ejpam-6967	549	1	ieee	ieee	NOUN
ejpam-6967	549	2	transactions	transaction	NOUN
ejpam-6967	549	3	on	on	ADP
ejpam-6967	549	4	network	network	NOUN
ejpam-6967	549	5	science	science	NOUN
ejpam-6967	549	6	and	and	CCONJ
ejpam-6967	549	7	engineering	engineering	NOUN
ejpam-6967	549	8	,	,	PUNCT
ejpam-6967	549	9	7(2):817–831	7(2):817–831	PROPN
ejpam-6967	549	10	,	,	PUNCT
ejpam-6967	549	11	2018	2018	NUM
ejpam-6967	549	12	.	.	PUNCT
ejpam-6967	550	1	[	[	X
ejpam-6967	550	2	29	29	NUM
ejpam-6967	550	3	]	]	PUNCT
ejpam-6967	550	4	w.	w.	PROPN
ejpam-6967	550	5	h.	h.	PROPN
ejpam-6967	550	6	fleming	fleming	PROPN
ejpam-6967	550	7	and	and	CCONJ
ejpam-6967	550	8	r.	r.	PROPN
ejpam-6967	550	9	w.	w.	PROPN
ejpam-6967	550	10	rishel	rishel	PROPN
ejpam-6967	550	11	.	.	PUNCT
ejpam-6967	551	1	deterministic	deterministic	ADJ
ejpam-6967	551	2	and	and	CCONJ
ejpam-6967	551	3	stochastic	stochastic	ADJ
ejpam-6967	551	4	optimal	optimal	ADJ
ejpam-6967	551	5	control	control	NOUN
ejpam-6967	551	6	,	,	PUNCT
ejpam-6967	551	7	volume	volume	NOUN
ejpam-6967	551	8	1	1	NUM
ejpam-6967	551	9	.	.	PUNCT
ejpam-6967	551	10	springer	springer	PROPN
ejpam-6967	551	11	science	science	PROPN
ejpam-6967	551	12	&	&	CCONJ
ejpam-6967	551	13	business	business	NOUN
ejpam-6967	551	14	media	medium	NOUN
ejpam-6967	551	15	,	,	PUNCT
ejpam-6967	551	16	2012	2012	NUM
ejpam-6967	551	17	.	.	PUNCT