id	sid	tid	token	lemma	pos
ejpam-6336	1	1	european	european	PROPN
ejpam-6336	1	2	journal	journal	PROPN
ejpam-6336	1	3	of	of	ADP
ejpam-6336	1	4	pure	pure	ADJ
ejpam-6336	1	5	and	and	CCONJ
ejpam-6336	1	6	applied	applied	ADJ
ejpam-6336	1	7	mathematics	mathematic	NOUN
ejpam-6336	1	8	2025	2025	NUM
ejpam-6336	1	9	,	,	PUNCT
ejpam-6336	1	10	vol	vol	NOUN
ejpam-6336	1	11	.	.	PROPN
ejpam-6336	1	12	18	18	NUM
ejpam-6336	1	13	,	,	PUNCT
ejpam-6336	1	14	issue	issue	NOUN
ejpam-6336	1	15	3	3	NUM
ejpam-6336	1	16	,	,	PUNCT
ejpam-6336	1	17	article	article	NOUN
ejpam-6336	1	18	number	number	NOUN
ejpam-6336	1	19	6336	6336	NUM
ejpam-6336	1	20	issn	issn	PROPN
ejpam-6336	1	21	1307	1307	NUM
ejpam-6336	1	22	-	-	SYM
ejpam-6336	1	23	5543	5543	NUM
ejpam-6336	1	24	–	–	PUNCT
ejpam-6336	1	25	ejpam.com	ejpam.com	X
ejpam-6336	1	26	published	publish	VERB
ejpam-6336	1	27	by	by	ADP
ejpam-6336	1	28	new	new	PROPN
ejpam-6336	1	29	york	york	PROPN
ejpam-6336	1	30	business	business	PROPN
ejpam-6336	1	31	global	global	ADJ
ejpam-6336	1	32	stability	stability	NOUN
ejpam-6336	1	33	and	and	CCONJ
ejpam-6336	1	34	sensitivity	sensitivity	NOUN
ejpam-6336	1	35	analysis	analysis	NOUN
ejpam-6336	1	36	of	of	ADP
ejpam-6336	1	37	cyberattack	cyberattack	NOUN
ejpam-6336	1	38	propagation	propagation	NOUN
ejpam-6336	1	39	models	model	NOUN
ejpam-6336	1	40	in	in	ADP
ejpam-6336	1	41	computer	computer	NOUN
ejpam-6336	1	42	network	network	NOUN
ejpam-6336	1	43	sadique	sadique	ADJ
ejpam-6336	1	44	ahmad1	ahmad1	PROPN
ejpam-6336	1	45	,	,	PUNCT
ejpam-6336	1	46	naveed	naveed	PROPN
ejpam-6336	1	47	ahmad2	ahmad2	PROPN
ejpam-6336	1	48	,	,	PUNCT
ejpam-6336	2	1	ismail	ismail	PROPN
ejpam-6336	2	2	shah3,∗	shah3,∗	VERB
ejpam-6336	2	3	1	1	NUM
ejpam-6336	2	4	eias	eia	NOUN
ejpam-6336	2	5	:	:	PUNCT
ejpam-6336	2	6	data	datum	NOUN
ejpam-6336	2	7	science	science	NOUN
ejpam-6336	2	8	and	and	CCONJ
ejpam-6336	2	9	block	block	NOUN
ejpam-6336	2	10	chain	chain	NOUN
ejpam-6336	2	11	laboratory	laboratory	NOUN
ejpam-6336	2	12	,	,	PUNCT
ejpam-6336	2	13	college	college	NOUN
ejpam-6336	2	14	of	of	ADP
ejpam-6336	2	15	computer	computer	NOUN
ejpam-6336	2	16	and	and	CCONJ
ejpam-6336	2	17	information	information	NOUN
ejpam-6336	2	18	sciences	science	NOUN
ejpam-6336	2	19	,	,	PUNCT
ejpam-6336	2	20	prince	prince	PROPN
ejpam-6336	2	21	sultan	sultan	PROPN
ejpam-6336	2	22	university	university	PROPN
ejpam-6336	2	23	,	,	PUNCT
ejpam-6336	2	24	riyadh	riyadh	PROPN
ejpam-6336	2	25	11586	11586	NUM
ejpam-6336	2	26	,	,	PUNCT
ejpam-6336	2	27	saudi	saudi	PROPN
ejpam-6336	2	28	arabia	arabia	PROPN
ejpam-6336	2	29	2	2	NUM
ejpam-6336	2	30	college	college	NOUN
ejpam-6336	2	31	of	of	ADP
ejpam-6336	2	32	computen	computen	NOUN
ejpam-6336	2	33	and	and	CCONJ
ejpam-6336	2	34	information	information	NOUN
ejpam-6336	2	35	sciences	science	NOUN
ejpam-6336	2	36	,	,	PUNCT
ejpam-6336	2	37	prince	prince	PROPN
ejpam-6336	2	38	sultan	sultan	PROPN
ejpam-6336	2	39	university	university	PROPN
ejpam-6336	2	40	,	,	PUNCT
ejpam-6336	2	41	riyadh	riyadh	NOUN
ejpam-6336	2	42	,	,	PUNCT
ejpam-6336	2	43	11586	11586	NUM
ejpam-6336	2	44	,	,	PUNCT
ejpam-6336	2	45	saudi	saudi	PROPN
ejpam-6336	2	46	arabia	arabia	PROPN
ejpam-6336	2	47	3	3	NUM
ejpam-6336	2	48	department	department	NOUN
ejpam-6336	2	49	of	of	ADP
ejpam-6336	2	50	mathematics	mathematics	PROPN
ejpam-6336	2	51	,	,	PUNCT
ejpam-6336	2	52	university	university	NOUN
ejpam-6336	2	53	of	of	ADP
ejpam-6336	2	54	malakand	malakand	PROPN
ejpam-6336	2	55	,	,	PUNCT
ejpam-6336	2	56	chakdara	chakdara	NOUN
ejpam-6336	2	57	dir(l	dir(l	PROPN
ejpam-6336	2	58	)	)	PUNCT
ejpam-6336	2	59	,	,	PUNCT
ejpam-6336	2	60	18000	18000	NUM
ejpam-6336	2	61	,	,	PUNCT
ejpam-6336	2	62	khyber	khyber	PROPN
ejpam-6336	2	63	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6336	2	64	,	,	PUNCT
ejpam-6336	2	65	pakistan	pakistan	PROPN
ejpam-6336	2	66	abstract	abstract	NOUN
ejpam-6336	2	67	.	.	PUNCT
ejpam-6336	3	1	this	this	DET
ejpam-6336	3	2	study	study	NOUN
ejpam-6336	3	3	develops	develop	VERB
ejpam-6336	3	4	a	a	DET
ejpam-6336	3	5	compartmental	compartmental	ADJ
ejpam-6336	3	6	cyber	cyber	NOUN
ejpam-6336	3	7	-	-	PUNCT
ejpam-6336	3	8	epidemic	epidemic	NOUN
ejpam-6336	3	9	model	model	NOUN
ejpam-6336	3	10	to	to	PART
ejpam-6336	3	11	analyze	analyze	VERB
ejpam-6336	3	12	the	the	DET
ejpam-6336	3	13	spread	spread	NOUN
ejpam-6336	3	14	of	of	ADP
ejpam-6336	3	15	malicious	malicious	ADJ
ejpam-6336	3	16	code	code	NOUN
ejpam-6336	3	17	within	within	ADP
ejpam-6336	3	18	computer	computer	NOUN
ejpam-6336	3	19	networks	network	NOUN
ejpam-6336	3	20	.	.	PUNCT
ejpam-6336	4	1	the	the	DET
ejpam-6336	4	2	model	model	NOUN
ejpam-6336	4	3	classifies	classify	VERB
ejpam-6336	4	4	network	network	NOUN
ejpam-6336	4	5	nodes	node	NOUN
ejpam-6336	4	6	into	into	ADP
ejpam-6336	4	7	different	different	ADJ
ejpam-6336	4	8	states	state	NOUN
ejpam-6336	4	9	:	:	PUNCT
ejpam-6336	4	10	susceptible	susceptible	ADJ
ejpam-6336	4	11	(	(	PUNCT
ejpam-6336	4	12	s	s	NOUN
ejpam-6336	4	13	)	)	PUNCT
ejpam-6336	4	14	,	,	PUNCT
ejpam-6336	4	15	exposed	expose	VERB
ejpam-6336	4	16	(	(	PUNCT
ejpam-6336	4	17	e	e	NOUN
ejpam-6336	4	18	)	)	PUNCT
ejpam-6336	4	19	,	,	PUNCT
ejpam-6336	4	20	infected	infect	VERB
ejpam-6336	4	21	(	(	PUNCT
ejpam-6336	4	22	i	i	NOUN
ejpam-6336	4	23	)	)	PUNCT
ejpam-6336	4	24	,	,	PUNCT
ejpam-6336	4	25	controlled	control	VERB
ejpam-6336	4	26	(	(	PUNCT
ejpam-6336	4	27	c	c	NOUN
ejpam-6336	4	28	)	)	PUNCT
ejpam-6336	4	29	,	,	PUNCT
ejpam-6336	4	30	recovered	recover	VERB
ejpam-6336	4	31	(	(	PUNCT
ejpam-6336	4	32	r	r	NOUN
ejpam-6336	4	33	)	)	PUNCT
ejpam-6336	4	34	,	,	PUNCT
ejpam-6336	4	35	protected	protect	VERB
ejpam-6336	4	36	(	(	PUNCT
ejpam-6336	4	37	p	p	NOUN
ejpam-6336	4	38	)	)	PUNCT
ejpam-6336	4	39	,	,	PUNCT
ejpam-6336	4	40	disabled	disabled	ADJ
ejpam-6336	4	41	(	(	PUNCT
ejpam-6336	4	42	d	d	NOUN
ejpam-6336	4	43	)	)	PUNCT
ejpam-6336	4	44	,	,	PUNCT
ejpam-6336	4	45	and	and	CCONJ
ejpam-6336	4	46	attackers	attacker	NOUN
ejpam-6336	4	47	(	(	PUNCT
ejpam-6336	4	48	a	a	NOUN
ejpam-6336	4	49	)	)	PUNCT
ejpam-6336	4	50	.	.	PUNCT
ejpam-6336	5	1	it	it	PRON
ejpam-6336	5	2	captures	capture	VERB
ejpam-6336	5	3	important	important	ADJ
ejpam-6336	5	4	aspects	aspect	NOUN
ejpam-6336	5	5	of	of	ADP
ejpam-6336	5	6	a	a	DET
ejpam-6336	5	7	cyberattack	cyberattack	NOUN
ejpam-6336	5	8	,	,	PUNCT
ejpam-6336	5	9	such	such	ADJ
ejpam-6336	5	10	as	as	ADP
ejpam-6336	5	11	the	the	DET
ejpam-6336	5	12	spread	spread	NOUN
ejpam-6336	5	13	of	of	ADP
ejpam-6336	5	14	infection	infection	NOUN
ejpam-6336	5	15	,	,	PUNCT
ejpam-6336	5	16	botnet	botnet	NOUN
ejpam-6336	5	17	formation	formation	NOUN
ejpam-6336	5	18	,	,	PUNCT
ejpam-6336	5	19	security	security	NOUN
ejpam-6336	5	20	measures	measure	NOUN
ejpam-6336	5	21	,	,	PUNCT
ejpam-6336	5	22	and	and	CCONJ
ejpam-6336	5	23	achieving	achieve	VERB
ejpam-6336	5	24	a	a	DET
ejpam-6336	5	25	state	state	NOUN
ejpam-6336	5	26	of	of	ADP
ejpam-6336	5	27	destruction	destruction	NOUN
ejpam-6336	5	28	within	within	ADP
ejpam-6336	5	29	a	a	DET
ejpam-6336	5	30	compromised	compromise	VERB
ejpam-6336	5	31	system	system	NOUN
ejpam-6336	5	32	.	.	PUNCT
ejpam-6336	6	1	basic	basic	ADJ
ejpam-6336	6	2	reproduction	reproduction	NOUN
ejpam-6336	6	3	number	number	NOUN
ejpam-6336	6	4	(	(	PUNCT
ejpam-6336	6	5	r0	r0	NOUN
ejpam-6336	6	6	)	)	PUNCT
ejpam-6336	6	7	is	be	AUX
ejpam-6336	6	8	derived	derive	VERB
ejpam-6336	6	9	in	in	ADP
ejpam-6336	6	10	order	order	NOUN
ejpam-6336	6	11	to	to	PART
ejpam-6336	6	12	measure	measure	VERB
ejpam-6336	6	13	the	the	DET
ejpam-6336	6	14	systematic	systematic	ADJ
ejpam-6336	6	15	stability	stability	NOUN
ejpam-6336	6	16	and	and	CCONJ
ejpam-6336	6	17	determine	determine	VERB
ejpam-6336	6	18	whether	whether	SCONJ
ejpam-6336	6	19	cyber	cyber	ADJ
ejpam-6336	6	20	threats	threat	NOUN
ejpam-6336	6	21	will	will	AUX
ejpam-6336	6	22	persist	persist	VERB
ejpam-6336	6	23	or	or	CCONJ
ejpam-6336	6	24	be	be	AUX
ejpam-6336	6	25	mitigated	mitigate	VERB
ejpam-6336	6	26	.	.	PUNCT
ejpam-6336	7	1	equilibrium	equilibrium	NOUN
ejpam-6336	7	2	analysis	analysis	NOUN
ejpam-6336	7	3	is	be	AUX
ejpam-6336	7	4	conducted	conduct	VERB
ejpam-6336	7	5	to	to	PART
ejpam-6336	7	6	determine	determine	VERB
ejpam-6336	7	7	parameters	parameter	NOUN
ejpam-6336	7	8	under	under	ADP
ejpam-6336	7	9	which	which	PRON
ejpam-6336	7	10	condition	condition	NOUN
ejpam-6336	7	11	malware	malware	NOUN
ejpam-6336	7	12	-	-	PUNCT
ejpam-6336	7	13	free	free	ADJ
ejpam-6336	7	14	equilibrium	equilibrium	NOUN
ejpam-6336	7	15	is	be	AUX
ejpam-6336	7	16	globally	globally	ADV
ejpam-6336	7	17	asymptotically	asymptotically	ADV
ejpam-6336	7	18	stable	stable	ADJ
ejpam-6336	7	19	,	,	PUNCT
ejpam-6336	7	20	and	and	CCONJ
ejpam-6336	7	21	the	the	DET
ejpam-6336	7	22	endemic	endemic	ADJ
ejpam-6336	7	23	equilibrium	equilibrium	NOUN
ejpam-6336	7	24	remains	remain	VERB
ejpam-6336	7	25	locally	locally	ADV
ejpam-6336	7	26	stable	stable	ADJ
ejpam-6336	7	27	.	.	PUNCT
ejpam-6336	8	1	moreover	moreover	ADV
ejpam-6336	8	2	,	,	PUNCT
ejpam-6336	8	3	(	(	PUNCT
ejpam-6336	8	4	r0	r0	NOUN
ejpam-6336	8	5	)	)	PUNCT
ejpam-6336	8	6	is	be	AUX
ejpam-6336	8	7	used	use	VERB
ejpam-6336	8	8	to	to	PART
ejpam-6336	8	9	carry	carry	VERB
ejpam-6336	8	10	out	out	ADP
ejpam-6336	8	11	a	a	DET
ejpam-6336	8	12	sensitivity	sensitivity	NOUN
ejpam-6336	8	13	analysis	analysis	NOUN
ejpam-6336	8	14	to	to	PART
ejpam-6336	8	15	check	check	VERB
ejpam-6336	8	16	the	the	DET
ejpam-6336	8	17	impact	impact	NOUN
ejpam-6336	8	18	of	of	ADP
ejpam-6336	8	19	the	the	DET
ejpam-6336	8	20	parametric	parametric	ADJ
ejpam-6336	8	21	values	value	NOUN
ejpam-6336	8	22	in	in	ADP
ejpam-6336	8	23	the	the	DET
ejpam-6336	8	24	system	system	NOUN
ejpam-6336	8	25	.	.	PUNCT
ejpam-6336	9	1	results	result	NOUN
ejpam-6336	9	2	verified	verify	VERB
ejpam-6336	9	3	through	through	ADP
ejpam-6336	9	4	matlab	matlab	PROPN
ejpam-6336	9	5	simulations	simulation	NOUN
ejpam-6336	9	6	align	align	VERB
ejpam-6336	9	7	with	with	ADP
ejpam-6336	9	8	real	real	ADJ
ejpam-6336	9	9	-	-	PUNCT
ejpam-6336	9	10	world	world	NOUN
ejpam-6336	9	11	cyberattack	cyberattack	NOUN
ejpam-6336	9	12	patterns	pattern	NOUN
ejpam-6336	9	13	,	,	PUNCT
ejpam-6336	9	14	offering	offer	VERB
ejpam-6336	9	15	practical	practical	ADJ
ejpam-6336	9	16	implications	implication	NOUN
ejpam-6336	9	17	for	for	ADP
ejpam-6336	9	18	securing	secure	VERB
ejpam-6336	9	19	modern	modern	ADJ
ejpam-6336	9	20	network	network	NOUN
ejpam-6336	9	21	infrastructures	infrastructure	NOUN
ejpam-6336	9	22	.	.	PUNCT
ejpam-6336	10	1	2020	2020	NUM
ejpam-6336	10	2	mathematics	mathematic	NOUN
ejpam-6336	10	3	subject	subject	NOUN
ejpam-6336	10	4	classifications	classification	NOUN
ejpam-6336	10	5	:	:	PUNCT
ejpam-6336	10	6	34dxx	34dxx	NUM
ejpam-6336	10	7	,	,	PUNCT
ejpam-6336	10	8	03c65	03c65	NUM
ejpam-6336	10	9	,	,	PUNCT
ejpam-6336	10	10	93a30	93a30	VERB
ejpam-6336	10	11	key	key	ADJ
ejpam-6336	10	12	words	word	NOUN
ejpam-6336	10	13	and	and	CCONJ
ejpam-6336	10	14	phrases	phrase	NOUN
ejpam-6336	10	15	:	:	PUNCT
ejpam-6336	10	16	cyber	cyber	ADJ
ejpam-6336	10	17	attack	attack	NOUN
ejpam-6336	10	18	,	,	PUNCT
ejpam-6336	10	19	virus	virus	NOUN
ejpam-6336	10	20	free	free	ADJ
ejpam-6336	10	21	equilibrium	equilibrium	NOUN
ejpam-6336	10	22	,	,	PUNCT
ejpam-6336	10	23	sensitivity	sensitivity	NOUN
ejpam-6336	10	24	,	,	PUNCT
ejpam-6336	10	25	locally	locally	ADV
ejpam-6336	10	26	and	and	CCONJ
ejpam-6336	10	27	global	global	ADJ
ejpam-6336	10	28	asymptotic	asymptotic	ADJ
ejpam-6336	10	29	stability	stability	NOUN
ejpam-6336	10	30	,	,	PUNCT
ejpam-6336	10	31	basic	basic	ADJ
ejpam-6336	10	32	reproduction	reproduction	NOUN
ejpam-6336	10	33	number	number	NOUN
ejpam-6336	10	34	1	1	NUM
ejpam-6336	10	35	.	.	PUNCT
ejpam-6336	11	1	introduction	introduction	NOUN
ejpam-6336	11	2	the	the	DET
ejpam-6336	11	3	rapid	rapid	ADJ
ejpam-6336	11	4	advancement	advancement	NOUN
ejpam-6336	11	5	of	of	ADP
ejpam-6336	11	6	society	society	NOUN
ejpam-6336	11	7	,	,	PUNCT
ejpam-6336	11	8	driven	drive	VERB
ejpam-6336	11	9	by	by	ADP
ejpam-6336	11	10	widespread	widespread	ADJ
ejpam-6336	11	11	reliance	reliance	NOUN
ejpam-6336	11	12	on	on	ADP
ejpam-6336	11	13	computer	computer	NOUN
ejpam-6336	11	14	software	software	NOUN
ejpam-6336	11	15	and	and	CCONJ
ejpam-6336	11	16	hardware	hardware	NOUN
ejpam-6336	11	17	,	,	PUNCT
ejpam-6336	11	18	has	have	AUX
ejpam-6336	11	19	led	lead	VERB
ejpam-6336	11	20	to	to	ADP
ejpam-6336	11	21	the	the	DET
ejpam-6336	11	22	emergence	emergence	NOUN
ejpam-6336	11	23	of	of	ADP
ejpam-6336	11	24	cybercrime	cybercrime	NOUN
ejpam-6336	11	25	,	,	PUNCT
ejpam-6336	11	26	a	a	DET
ejpam-6336	11	27	growing	grow	VERB
ejpam-6336	11	28	global	global	ADJ
ejpam-6336	11	29	threat	threat	NOUN
ejpam-6336	11	30	in	in	ADP
ejpam-6336	11	31	the	the	DET
ejpam-6336	11	32	21st	21st	ADJ
ejpam-6336	11	33	century	century	NOUN
ejpam-6336	11	34	.	.	PUNCT
ejpam-6336	12	1	as	as	SCONJ
ejpam-6336	12	2	digital	digital	ADJ
ejpam-6336	12	3	infrastructures	infrastructure	NOUN
ejpam-6336	12	4	become	become	VERB
ejpam-6336	12	5	more	more	ADV
ejpam-6336	12	6	sophisticated	sophisticated	ADJ
ejpam-6336	12	7	,	,	PUNCT
ejpam-6336	12	8	cybercriminal	cybercriminal	ADJ
ejpam-6336	12	9	activities	activity	NOUN
ejpam-6336	12	10	continue	continue	VERB
ejpam-6336	12	11	to	to	PART
ejpam-6336	12	12	evolve	evolve	VERB
ejpam-6336	12	13	,	,	PUNCT
ejpam-6336	12	14	making	make	VERB
ejpam-6336	12	15	cybercrime	cybercrime	NOUN
ejpam-6336	12	16	investigation	investigation	NOUN
ejpam-6336	12	17	a	a	DET
ejpam-6336	12	18	crucial	crucial	ADJ
ejpam-6336	12	19	area	area	NOUN
ejpam-6336	12	20	of	of	ADP
ejpam-6336	12	21	research	research	NOUN
ejpam-6336	12	22	for	for	ADP
ejpam-6336	12	23	both	both	PRON
ejpam-6336	12	24	academics	academic	NOUN
ejpam-6336	12	25	and	and	CCONJ
ejpam-6336	12	26	cybersecurity	cybersecurity	NOUN
ejpam-6336	12	27	professionals	professional	NOUN
ejpam-6336	12	28	.	.	PUNCT
ejpam-6336	13	1	the	the	DET
ejpam-6336	13	2	increasing	increase	VERB
ejpam-6336	13	3	dependence	dependence	NOUN
ejpam-6336	13	4	on	on	ADP
ejpam-6336	13	5	interconnected	interconnected	ADJ
ejpam-6336	13	6	∗corresponding	∗corresponde	VERB
ejpam-6336	13	7	author	author	NOUN
ejpam-6336	13	8	.	.	PUNCT
ejpam-6336	14	1	doi	doi	NOUN
ejpam-6336	14	2	:	:	PUNCT
ejpam-6336	14	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6336	https://doi.org/10.29020/nybg.ejpam.v18i3.6336	PRON
ejpam-6336	14	4	email	email	NOUN
ejpam-6336	14	5	addresses	address	NOUN
ejpam-6336	14	6	:	:	PUNCT
ejpam-6336	14	7	saahmad@psu.edu.sa	saahmad@psu.edu.sa	PROPN
ejpam-6336	14	8	(	(	PUNCT
ejpam-6336	14	9	s.	s.	PROPN
ejpam-6336	14	10	ahmad	ahmad	PROPN
ejpam-6336	14	11	)	)	PUNCT
ejpam-6336	14	12	,	,	PUNCT
ejpam-6336	14	13	nahmed@psu.edu.sa	nahmed@psu.edu.sa	PROPN
ejpam-6336	14	14	(	(	PUNCT
ejpam-6336	14	15	n.	n.	PROPN
ejpam-6336	14	16	ahmad	ahmad	PROPN
ejpam-6336	14	17	)	)	PUNCT
ejpam-6336	14	18	,	,	PUNCT
ejpam-6336	14	19	ismail81eu@gmail.com	ismail81eu@gmail.com	NOUN
ejpam-6336	14	20	(	(	PUNCT
ejpam-6336	14	21	i.	i.	PROPN
ejpam-6336	14	22	shah	shah	PROPN
ejpam-6336	14	23	)	)	PUNCT
ejpam-6336	14	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6336	15	1	1	1	NUM
ejpam-6336	15	2	copyright	copyright	NOUN
ejpam-6336	15	3	:	:	PUNCT
ejpam-6336	15	4	©	©	PROPN
ejpam-6336	15	5	2025	2025	NUM
ejpam-6336	15	6	the	the	DET
ejpam-6336	15	7	author(s	author(s	NOUN
ejpam-6336	15	8	)	)	PUNCT
ejpam-6336	15	9	.	.	PUNCT
ejpam-6336	16	1	(	(	PUNCT
ejpam-6336	16	2	cc	cc	NOUN
ejpam-6336	16	3	by	by	ADP
ejpam-6336	16	4	-	-	PUNCT
ejpam-6336	16	5	nc	nc	PROPN
ejpam-6336	16	6	4.0	4.0	NUM
ejpam-6336	16	7	)	)	PUNCT
ejpam-6336	16	8	s.	s.	PROPN
ejpam-6336	16	9	ahmad	ahmad	PROPN
ejpam-6336	16	10	,	,	PUNCT
ejpam-6336	16	11	n.	n.	PROPN
ejpam-6336	16	12	ahmad	ahmad	PROPN
ejpam-6336	16	13	,	,	PUNCT
ejpam-6336	16	14	i.	i.	PROPN
ejpam-6336	16	15	shah	shah	PROPN
ejpam-6336	16	16	/	/	SYM
ejpam-6336	16	17	eur	eur	PROPN
ejpam-6336	16	18	.	.	PUNCT
ejpam-6336	17	1	j.	j.	PROPN
ejpam-6336	17	2	pure	pure	PROPN
ejpam-6336	17	3	appl	appl	PROPN
ejpam-6336	17	4	.	.	PROPN
ejpam-6336	17	5	math	math	PROPN
ejpam-6336	17	6	,	,	PUNCT
ejpam-6336	17	7	18	18	NUM
ejpam-6336	17	8	(	(	PUNCT
ejpam-6336	17	9	3	3	NUM
ejpam-6336	17	10	)	)	PUNCT
ejpam-6336	17	11	(	(	PUNCT
ejpam-6336	17	12	2025	2025	NUM
ejpam-6336	17	13	)	)	PUNCT
ejpam-6336	17	14	,	,	PUNCT
ejpam-6336	17	15	6336	6336	NUM
ejpam-6336	17	16	2	2	NUM
ejpam-6336	17	17	of	of	ADP
ejpam-6336	17	18	24	24	NUM
ejpam-6336	17	19	computer	computer	NOUN
ejpam-6336	17	20	systems	system	NOUN
ejpam-6336	17	21	and	and	CCONJ
ejpam-6336	17	22	digital	digital	ADJ
ejpam-6336	17	23	communication	communication	NOUN
ejpam-6336	17	24	networks	network	NOUN
ejpam-6336	17	25	has	have	AUX
ejpam-6336	17	26	significantly	significantly	ADV
ejpam-6336	17	27	impacted	impact	VERB
ejpam-6336	17	28	daily	daily	ADJ
ejpam-6336	17	29	life	life	NOUN
ejpam-6336	17	30	,	,	PUNCT
ejpam-6336	17	31	but	but	CCONJ
ejpam-6336	17	32	it	it	PRON
ejpam-6336	17	33	has	have	AUX
ejpam-6336	17	34	also	also	ADV
ejpam-6336	17	35	exposed	expose	VERB
ejpam-6336	17	36	vulnerabilities	vulnerability	NOUN
ejpam-6336	17	37	that	that	SCONJ
ejpam-6336	17	38	malicious	malicious	ADJ
ejpam-6336	17	39	actors	actor	NOUN
ejpam-6336	17	40	exploit	exploit	VERB
ejpam-6336	17	41	for	for	ADP
ejpam-6336	17	42	various	various	ADJ
ejpam-6336	17	43	illicit	illicit	ADJ
ejpam-6336	17	44	purposes	purpose	NOUN
ejpam-6336	17	45	.	.	PUNCT
ejpam-6336	18	1	with	with	ADP
ejpam-6336	18	2	the	the	DET
ejpam-6336	18	3	proliferation	proliferation	NOUN
ejpam-6336	18	4	of	of	ADP
ejpam-6336	18	5	the	the	DET
ejpam-6336	18	6	internet	internet	NOUN
ejpam-6336	18	7	and	and	CCONJ
ejpam-6336	18	8	complex	complex	ADJ
ejpam-6336	18	9	network	network	NOUN
ejpam-6336	18	10	architectures	architecture	NOUN
ejpam-6336	18	11	,	,	PUNCT
ejpam-6336	18	12	cyber	cyber	NOUN
ejpam-6336	18	13	threats	threat	NOUN
ejpam-6336	18	14	such	such	ADJ
ejpam-6336	18	15	as	as	ADP
ejpam-6336	18	16	malware	malware	NOUN
ejpam-6336	18	17	,	,	PUNCT
ejpam-6336	18	18	ransomware	ransomware	NOUN
ejpam-6336	18	19	,	,	PUNCT
ejpam-6336	18	20	and	and	CCONJ
ejpam-6336	18	21	botnet	botnet	NOUN
ejpam-6336	18	22	attacks	attack	NOUN
ejpam-6336	18	23	have	have	AUX
ejpam-6336	18	24	become	become	VERB
ejpam-6336	18	25	more	more	ADV
ejpam-6336	18	26	frequent	frequent	ADJ
ejpam-6336	18	27	,	,	PUNCT
ejpam-6336	18	28	leading	lead	VERB
ejpam-6336	18	29	to	to	ADP
ejpam-6336	18	30	severe	severe	ADJ
ejpam-6336	18	31	financial	financial	ADJ
ejpam-6336	18	32	and	and	CCONJ
ejpam-6336	18	33	operational	operational	ADJ
ejpam-6336	18	34	consequences	consequence	NOUN
ejpam-6336	18	35	across	across	ADP
ejpam-6336	18	36	different	different	ADJ
ejpam-6336	18	37	sectors	sector	NOUN
ejpam-6336	18	38	.	.	PUNCT
ejpam-6336	19	1	the	the	DET
ejpam-6336	19	2	interconnected	interconnected	ADJ
ejpam-6336	19	3	nature	nature	NOUN
ejpam-6336	19	4	of	of	ADP
ejpam-6336	19	5	computer	computer	NOUN
ejpam-6336	19	6	networks	network	NOUN
ejpam-6336	19	7	enables	enable	VERB
ejpam-6336	19	8	the	the	DET
ejpam-6336	19	9	rapid	rapid	ADJ
ejpam-6336	19	10	propagation	propagation	NOUN
ejpam-6336	19	11	of	of	ADP
ejpam-6336	19	12	malware	malware	NOUN
ejpam-6336	19	13	,	,	PUNCT
ejpam-6336	19	14	disrupting	disrupt	VERB
ejpam-6336	19	15	normal	normal	ADJ
ejpam-6336	19	16	operations	operation	NOUN
ejpam-6336	19	17	and	and	CCONJ
ejpam-6336	19	18	causing	cause	VERB
ejpam-6336	19	19	substantial	substantial	ADJ
ejpam-6336	19	20	damage	damage	NOUN
ejpam-6336	19	21	to	to	ADP
ejpam-6336	19	22	businesses	business	NOUN
ejpam-6336	19	23	,	,	PUNCT
ejpam-6336	19	24	governments	government	NOUN
ejpam-6336	19	25	,	,	PUNCT
ejpam-6336	19	26	and	and	CCONJ
ejpam-6336	19	27	individuals	individual	NOUN
ejpam-6336	19	28	.	.	PUNCT
ejpam-6336	20	1	malicious	malicious	ADJ
ejpam-6336	20	2	code	code	NOUN
ejpam-6336	20	3	,	,	PUNCT
ejpam-6336	20	4	including	include	VERB
ejpam-6336	20	5	viruses	virus	NOUN
ejpam-6336	20	6	,	,	PUNCT
ejpam-6336	20	7	worms	worm	NOUN
ejpam-6336	20	8	[	[	X
ejpam-6336	20	9	1	1	NUM
ejpam-6336	20	10	]	]	PUNCT
ejpam-6336	20	11	,	,	PUNCT
ejpam-6336	20	12	and	and	CCONJ
ejpam-6336	20	13	trojan	trojan	NOUN
ejpam-6336	20	14	horses	horse	NOUN
ejpam-6336	20	15	,	,	PUNCT
ejpam-6336	20	16	spreads	spread	VERB
ejpam-6336	20	17	within	within	ADP
ejpam-6336	20	18	networks	network	NOUN
ejpam-6336	20	19	in	in	ADP
ejpam-6336	20	20	a	a	DET
ejpam-6336	20	21	manner	manner	NOUN
ejpam-6336	20	22	similar	similar	ADJ
ejpam-6336	20	23	to	to	ADP
ejpam-6336	20	24	infectious	infectious	ADJ
ejpam-6336	20	25	diseases	disease	NOUN
ejpam-6336	20	26	in	in	ADP
ejpam-6336	20	27	biological	biological	ADJ
ejpam-6336	20	28	populations	population	NOUN
ejpam-6336	20	29	.	.	PUNCT
ejpam-6336	21	1	just	just	ADV
ejpam-6336	21	2	as	as	SCONJ
ejpam-6336	21	3	epidemic	epidemic	NOUN
ejpam-6336	21	4	models	model	NOUN
ejpam-6336	21	5	seir	seir	VERB
ejpam-6336	21	6	[	[	X
ejpam-6336	21	7	2	2	NUM
ejpam-6336	21	8	]	]	PUNCT
ejpam-6336	21	9	are	be	AUX
ejpam-6336	21	10	used	use	VERB
ejpam-6336	21	11	to	to	PART
ejpam-6336	21	12	study	study	VERB
ejpam-6336	21	13	disease	disease	NOUN
ejpam-6336	21	14	outbreaks	outbreak	NOUN
ejpam-6336	21	15	in	in	ADP
ejpam-6336	21	16	public	public	ADJ
ejpam-6336	21	17	health	health	NOUN
ejpam-6336	21	18	,	,	PUNCT
ejpam-6336	21	19	mathematical	mathematical	ADJ
ejpam-6336	21	20	frameworks	framework	NOUN
ejpam-6336	21	21	inspired	inspire	VERB
ejpam-6336	21	22	by	by	ADP
ejpam-6336	21	23	epidemiology	epidemiology	NOUN
ejpam-6336	21	24	have	have	AUX
ejpam-6336	21	25	been	be	AUX
ejpam-6336	21	26	employed	employ	VERB
ejpam-6336	21	27	to	to	PART
ejpam-6336	21	28	analyze	analyze	VERB
ejpam-6336	21	29	and	and	CCONJ
ejpam-6336	21	30	predict	predict	VERB
ejpam-6336	21	31	the	the	DET
ejpam-6336	21	32	behavior	behavior	NOUN
ejpam-6336	21	33	of	of	ADP
ejpam-6336	21	34	malware	malware	NOUN
ejpam-6336	21	35	in	in	ADP
ejpam-6336	21	36	cyber	cyber	PROPN
ejpam-6336	21	37	networks	network	NOUN
ejpam-6336	21	38	.	.	PUNCT
ejpam-6336	22	1	given	give	VERB
ejpam-6336	22	2	these	these	DET
ejpam-6336	22	3	similarities	similarity	NOUN
ejpam-6336	22	4	,	,	PUNCT
ejpam-6336	22	5	researchers	researcher	NOUN
ejpam-6336	22	6	have	have	AUX
ejpam-6336	22	7	developed	develop	VERB
ejpam-6336	22	8	network	network	NOUN
ejpam-6336	22	9	-	-	PUNCT
ejpam-6336	22	10	based	base	VERB
ejpam-6336	22	11	epidemic	epidemic	NOUN
ejpam-6336	22	12	models	model	NOUN
ejpam-6336	22	13	[	[	X
ejpam-6336	22	14	3	3	X
ejpam-6336	22	15	]	]	PUNCT
ejpam-6336	22	16	that	that	PRON
ejpam-6336	22	17	classify	classify	VERB
ejpam-6336	22	18	system	system	NOUN
ejpam-6336	22	19	states	state	NOUN
ejpam-6336	22	20	and	and	CCONJ
ejpam-6336	22	21	model	model	VERB
ejpam-6336	22	22	the	the	DET
ejpam-6336	22	23	spread	spread	NOUN
ejpam-6336	22	24	of	of	ADP
ejpam-6336	22	25	cyber	cyber	NOUN
ejpam-6336	22	26	threats	threat	NOUN
ejpam-6336	22	27	.	.	PUNCT
ejpam-6336	23	1	this	this	DET
ejpam-6336	23	2	paper	paper	NOUN
ejpam-6336	23	3	focuses	focus	VERB
ejpam-6336	23	4	on	on	ADP
ejpam-6336	23	5	the	the	DET
ejpam-6336	23	6	development	development	NOUN
ejpam-6336	23	7	of	of	ADP
ejpam-6336	23	8	an	an	DET
ejpam-6336	23	9	extended	extended	ADJ
ejpam-6336	23	10	cyberepidemic	cyberepidemic	ADJ
ejpam-6336	23	11	model	model	NOUN
ejpam-6336	23	12	which	which	PRON
ejpam-6336	23	13	has	have	AUX
ejpam-6336	23	14	been	be	AUX
ejpam-6336	23	15	created	create	VERB
ejpam-6336	23	16	for	for	ADP
ejpam-6336	23	17	the	the	DET
ejpam-6336	23	18	purpose	purpose	NOUN
ejpam-6336	23	19	of	of	ADP
ejpam-6336	23	20	analyzing	analyze	VERB
ejpam-6336	23	21	the	the	DET
ejpam-6336	23	22	flow	flow	NOUN
ejpam-6336	23	23	interactions	interaction	NOUN
ejpam-6336	23	24	of	of	ADP
ejpam-6336	23	25	nodes	node	NOUN
ejpam-6336	23	26	such	such	ADJ
ejpam-6336	23	27	as	as	ADP
ejpam-6336	23	28	susceptible	susceptible	ADJ
ejpam-6336	23	29	,	,	PUNCT
ejpam-6336	23	30	exposed	expose	VERB
ejpam-6336	23	31	,	,	PUNCT
ejpam-6336	23	32	infected	infect	VERB
ejpam-6336	23	33	,	,	PUNCT
ejpam-6336	23	34	controlled	control	VERB
ejpam-6336	23	35	,	,	PUNCT
ejpam-6336	23	36	recovered	recover	VERB
ejpam-6336	23	37	,	,	PUNCT
ejpam-6336	23	38	protected	protect	VERB
ejpam-6336	23	39	,	,	PUNCT
ejpam-6336	23	40	and	and	CCONJ
ejpam-6336	23	41	disabled	disabled	ADJ
ejpam-6336	23	42	while	while	SCONJ
ejpam-6336	23	43	also	also	ADV
ejpam-6336	23	44	assisting	assist	VERB
ejpam-6336	23	45	in	in	ADP
ejpam-6336	23	46	the	the	DET
ejpam-6336	23	47	mitigation	mitigation	NOUN
ejpam-6336	23	48	strategies	strategy	NOUN
ejpam-6336	23	49	of	of	ADP
ejpam-6336	23	50	the	the	DET
ejpam-6336	23	51	cyberattacks	cyberattack	NOUN
ejpam-6336	23	52	.	.	PUNCT
ejpam-6336	24	1	the	the	DET
ejpam-6336	24	2	propagation	propagation	NOUN
ejpam-6336	24	3	of	of	ADP
ejpam-6336	24	4	the	the	DET
ejpam-6336	24	5	malware	malware	NOUN
ejpam-6336	24	6	within	within	ADP
ejpam-6336	24	7	computer	computer	NOUN
ejpam-6336	24	8	networks	network	NOUN
ejpam-6336	24	9	seems	seem	VERB
ejpam-6336	24	10	to	to	PART
ejpam-6336	24	11	have	have	VERB
ejpam-6336	24	12	the	the	DET
ejpam-6336	24	13	same	same	ADJ
ejpam-6336	24	14	properties	property	NOUN
ejpam-6336	24	15	as	as	ADP
ejpam-6336	24	16	the	the	DET
ejpam-6336	24	17	spreading	spreading	NOUN
ejpam-6336	24	18	of	of	ADP
ejpam-6336	24	19	a	a	DET
ejpam-6336	24	20	pandemic	pandemic	ADJ
ejpam-6336	24	21	,	,	PUNCT
ejpam-6336	24	22	therefore	therefore	ADV
ejpam-6336	24	23	,	,	PUNCT
ejpam-6336	24	24	epidemiological	epidemiological	ADJ
ejpam-6336	24	25	modeling	modeling	NOUN
ejpam-6336	24	26	is	be	AUX
ejpam-6336	24	27	useful	useful	ADJ
ejpam-6336	24	28	for	for	ADP
ejpam-6336	24	29	countering	counter	VERB
ejpam-6336	24	30	the	the	DET
ejpam-6336	24	31	cyber	cyber	NOUN
ejpam-6336	24	32	threats	threat	NOUN
ejpam-6336	24	33	.	.	PUNCT
ejpam-6336	25	1	various	various	ADJ
ejpam-6336	25	2	researchers	researcher	NOUN
ejpam-6336	25	3	have	have	AUX
ejpam-6336	25	4	investigated	investigate	VERB
ejpam-6336	25	5	the	the	DET
ejpam-6336	25	6	network	network	NOUN
ejpam-6336	25	7	based	base	VERB
ejpam-6336	25	8	on	on	ADP
ejpam-6336	25	9	the	the	DET
ejpam-6336	25	10	models	model	NOUN
ejpam-6336	25	11	of	of	ADP
ejpam-6336	25	12	diseases	disease	NOUN
ejpam-6336	25	13	propagation	propagation	NOUN
ejpam-6336	25	14	for	for	ADP
ejpam-6336	25	15	a	a	DET
ejpam-6336	25	16	long	long	ADJ
ejpam-6336	25	17	time	time	NOUN
ejpam-6336	25	18	now	now	ADV
ejpam-6336	25	19	[	[	X
ejpam-6336	25	20	4	4	NUM
ejpam-6336	25	21	,	,	PUNCT
ejpam-6336	25	22	5	5	NUM
ejpam-6336	25	23	]	]	PUNCT
ejpam-6336	25	24	.	.	PUNCT
ejpam-6336	26	1	these	these	DET
ejpam-6336	26	2	cyber	cyber	ADJ
ejpam-6336	26	3	-	-	PUNCT
ejpam-6336	26	4	epidemic	epidemic	NOUN
ejpam-6336	26	5	models	model	NOUN
ejpam-6336	26	6	trace	trace	VERB
ejpam-6336	26	7	their	their	PRON
ejpam-6336	26	8	roots	root	NOUN
ejpam-6336	26	9	to	to	ADP
ejpam-6336	26	10	the	the	DET
ejpam-6336	26	11	original	original	ADJ
ejpam-6336	26	12	sir	sir	NOUN
ejpam-6336	26	13	model	model	NOUN
ejpam-6336	26	14	as	as	ADP
ejpam-6336	26	15	concepts	concept	NOUN
ejpam-6336	26	16	of	of	ADP
ejpam-6336	26	17	disease	disease	NOUN
ejpam-6336	26	18	dynamics	dynamic	NOUN
ejpam-6336	26	19	[	[	X
ejpam-6336	26	20	6	6	NUM
ejpam-6336	26	21	]	]	PUNCT
ejpam-6336	26	22	.	.	PUNCT
ejpam-6336	27	1	these	these	DET
ejpam-6336	27	2	models	model	NOUN
ejpam-6336	27	3	quantify	quantify	VERB
ejpam-6336	27	4	the	the	DET
ejpam-6336	27	5	rates	rate	NOUN
ejpam-6336	27	6	of	of	ADP
ejpam-6336	27	7	malware	malware	NOUN
ejpam-6336	27	8	transmission	transmission	NOUN
ejpam-6336	27	9	phenomena	phenomenon	NOUN
ejpam-6336	27	10	such	such	ADJ
ejpam-6336	27	11	as	as	ADP
ejpam-6336	27	12	topology	topology	NOUN
ejpam-6336	27	13	and	and	CCONJ
ejpam-6336	27	14	connectivity	connectivity	NOUN
ejpam-6336	27	15	structure	structure	NOUN
ejpam-6336	27	16	that	that	PRON
ejpam-6336	27	17	usually	usually	ADV
ejpam-6336	27	18	define	define	VERB
ejpam-6336	27	19	the	the	DET
ejpam-6336	27	20	rate	rate	NOUN
ejpam-6336	27	21	of	of	ADP
ejpam-6336	27	22	infection	infection	NOUN
ejpam-6336	27	23	spread	spread	VERB
ejpam-6336	27	24	within	within	ADP
ejpam-6336	27	25	the	the	DET
ejpam-6336	27	26	targeted	target	VERB
ejpam-6336	27	27	network	network	NOUN
ejpam-6336	27	28	[	[	X
ejpam-6336	27	29	7	7	NUM
ejpam-6336	27	30	,	,	PUNCT
ejpam-6336	27	31	8	8	NUM
ejpam-6336	27	32	]	]	PUNCT
ejpam-6336	27	33	.	.	PUNCT
ejpam-6336	28	1	such	such	ADJ
ejpam-6336	28	2	epidemic	epidemic	NOUN
ejpam-6336	28	3	-	-	PUNCT
ejpam-6336	28	4	inspired	inspire	VERB
ejpam-6336	28	5	approaches	approach	NOUN
ejpam-6336	28	6	have	have	AUX
ejpam-6336	28	7	also	also	ADV
ejpam-6336	28	8	been	be	AUX
ejpam-6336	28	9	extended	extend	VERB
ejpam-6336	28	10	to	to	ADP
ejpam-6336	28	11	email	email	NOUN
ejpam-6336	28	12	-	-	PUNCT
ejpam-6336	28	13	based	base	VERB
ejpam-6336	28	14	malware	malware	NOUN
ejpam-6336	28	15	circulation	circulation	NOUN
ejpam-6336	28	16	[	[	X
ejpam-6336	28	17	9	9	NUM
ejpam-6336	28	18	]	]	PUNCT
ejpam-6336	28	19	,	,	PUNCT
ejpam-6336	28	20	where	where	SCONJ
ejpam-6336	28	21	epidemiological	epidemiological	ADJ
ejpam-6336	28	22	threshold	threshold	NOUN
ejpam-6336	28	23	theories	theory	NOUN
ejpam-6336	28	24	were	be	AUX
ejpam-6336	28	25	employed	employ	VERB
ejpam-6336	28	26	to	to	PART
ejpam-6336	28	27	refine	refine	VERB
ejpam-6336	28	28	malware	malware	NOUN
ejpam-6336	28	29	containment	containment	NOUN
ejpam-6336	28	30	strategies	strategy	NOUN
ejpam-6336	28	31	[	[	X
ejpam-6336	28	32	10	10	NUM
ejpam-6336	28	33	]	]	PUNCT
ejpam-6336	28	34	.	.	PUNCT
ejpam-6336	29	1	in	in	ADP
ejpam-6336	29	2	particular	particular	ADJ
ejpam-6336	29	3	,	,	PUNCT
ejpam-6336	29	4	[	[	X
ejpam-6336	29	5	11–13	11–13	NUM
ejpam-6336	29	6	]	]	X
ejpam-6336	29	7	simulated	simulated	ADJ
ejpam-6336	29	8	virus	virus	NOUN
ejpam-6336	29	9	propagation	propagation	NOUN
ejpam-6336	29	10	using	use	VERB
ejpam-6336	29	11	an	an	DET
ejpam-6336	29	12	improved	improved	ADJ
ejpam-6336	29	13	sei	sei	NOUN
ejpam-6336	29	14	(	(	PUNCT
ejpam-6336	29	15	susceptible	susceptible	ADJ
ejpam-6336	29	16	-	-	PUNCT
ejpam-6336	29	17	exposed	expose	VERB
ejpam-6336	29	18	-	-	PUNCT
ejpam-6336	29	19	infected	infect	VERB
ejpam-6336	29	20	)	)	PUNCT
ejpam-6336	29	21	framework	framework	NOUN
ejpam-6336	29	22	,	,	PUNCT
ejpam-6336	29	23	offering	offer	VERB
ejpam-6336	29	24	a	a	DET
ejpam-6336	29	25	more	more	ADV
ejpam-6336	29	26	realistic	realistic	ADJ
ejpam-6336	29	27	representation	representation	NOUN
ejpam-6336	29	28	of	of	ADP
ejpam-6336	29	29	how	how	SCONJ
ejpam-6336	29	30	computer	computer	NOUN
ejpam-6336	29	31	viruses	viruse	VERB
ejpam-6336	29	32	transition	transition	NOUN
ejpam-6336	29	33	between	between	ADP
ejpam-6336	29	34	states.some	states.some	PROPN
ejpam-6336	29	35	studies	study	NOUN
ejpam-6336	29	36	have	have	AUX
ejpam-6336	29	37	incorporated	incorporate	VERB
ejpam-6336	29	38	cybersecurity	cybersecurity	NOUN
ejpam-6336	29	39	countermeasures	countermeasure	NOUN
ejpam-6336	29	40	,	,	PUNCT
ejpam-6336	29	41	such	such	ADJ
ejpam-6336	29	42	as	as	ADP
ejpam-6336	29	43	antivirus	antivirus	NOUN
ejpam-6336	29	44	mechanisms	mechanism	NOUN
ejpam-6336	29	45	and	and	CCONJ
ejpam-6336	29	46	immunization	immunization	NOUN
ejpam-6336	29	47	protocols	protocol	NOUN
ejpam-6336	29	48	,	,	PUNCT
ejpam-6336	29	49	to	to	PART
ejpam-6336	29	50	assess	assess	VERB
ejpam-6336	29	51	their	their	PRON
ejpam-6336	29	52	effectiveness	effectiveness	NOUN
ejpam-6336	29	53	in	in	ADP
ejpam-6336	29	54	limiting	limit	VERB
ejpam-6336	29	55	malware	malware	NOUN
ejpam-6336	29	56	outbreaks	outbreak	NOUN
ejpam-6336	29	57	.	.	PUNCT
ejpam-6336	30	1	epidemic	epidemic	NOUN
ejpam-6336	30	2	thresholds	threshold	NOUN
ejpam-6336	30	3	[	[	X
ejpam-6336	30	4	14	14	NUM
ejpam-6336	30	5	]	]	PUNCT
ejpam-6336	30	6	inform	inform	VERB
ejpam-6336	30	7	our	our	PRON
ejpam-6336	30	8	botnet	botnet	NOUN
ejpam-6336	30	9	recruitment	recruitment	NOUN
ejpam-6336	30	10	rates	rate	NOUN
ejpam-6336	30	11	(	(	PUNCT
ejpam-6336	30	12	ρ	ρ	NOUN
ejpam-6336	30	13	)	)	PUNCT
ejpam-6336	30	14	and	and	CCONJ
ejpam-6336	30	15	recovery	recovery	NOUN
ejpam-6336	30	16	strategies	strategy	NOUN
ejpam-6336	30	17	(	(	PUNCT
ejpam-6336	30	18	σ	σ	NOUN
ejpam-6336	30	19	)	)	PUNCT
ejpam-6336	30	20	,	,	PUNCT
ejpam-6336	30	21	while	while	SCONJ
ejpam-6336	30	22	the	the	DET
ejpam-6336	30	23	fractional	fractional	ADJ
ejpam-6336	30	24	-	-	PUNCT
ejpam-6336	30	25	order	order	NOUN
ejpam-6336	30	26	modeling	modeling	NOUN
ejpam-6336	30	27	[	[	X
ejpam-6336	30	28	15	15	NUM
ejpam-6336	30	29	]	]	PUNCT
ejpam-6336	30	30	underpins	underpin	VERB
ejpam-6336	30	31	our	our	PRON
ejpam-6336	30	32	stability	stability	NOUN
ejpam-6336	30	33	analysis	analysis	NOUN
ejpam-6336	30	34	,	,	PUNCT
ejpam-6336	30	35	particularly	particularly	ADV
ejpam-6336	30	36	in	in	ADP
ejpam-6336	30	37	addressing	address	VERB
ejpam-6336	30	38	reinfection	reinfection	NOUN
ejpam-6336	30	39	dynamics	dynamic	NOUN
ejpam-6336	30	40	.	.	PUNCT
ejpam-6336	31	1	recent	recent	ADJ
ejpam-6336	31	2	advances	advance	NOUN
ejpam-6336	31	3	in	in	ADP
ejpam-6336	31	4	mathematical	mathematical	ADJ
ejpam-6336	31	5	modeling	modeling	NOUN
ejpam-6336	31	6	,	,	PUNCT
ejpam-6336	31	7	such	such	ADJ
ejpam-6336	31	8	as	as	ADP
ejpam-6336	31	9	fractional	fractional	ADJ
ejpam-6336	31	10	-	-	PUNCT
ejpam-6336	31	11	order	order	NOUN
ejpam-6336	31	12	epidemiological	epidemiological	ADJ
ejpam-6336	31	13	frameworks	framework	NOUN
ejpam-6336	31	14	[	[	X
ejpam-6336	31	15	16	16	NUM
ejpam-6336	31	16	]	]	PUNCT
ejpam-6336	31	17	and	and	CCONJ
ejpam-6336	31	18	adaptive	adaptive	ADJ
ejpam-6336	31	19	network	network	NOUN
ejpam-6336	31	20	topologies	topology	NOUN
ejpam-6336	31	21	[	[	X
ejpam-6336	31	22	17	17	NUM
ejpam-6336	31	23	]	]	PUNCT
ejpam-6336	31	24	,	,	PUNCT
ejpam-6336	31	25	have	have	AUX
ejpam-6336	31	26	refined	refine	VERB
ejpam-6336	31	27	malware	malware	NOUN
ejpam-6336	31	28	propagation	propagation	NOUN
ejpam-6336	31	29	analysis	analysis	NOUN
ejpam-6336	31	30	.	.	PUNCT
ejpam-6336	32	1	for	for	ADP
ejpam-6336	32	2	instance	instance	NOUN
ejpam-6336	32	3	these	these	PRON
ejpam-6336	32	4	demonstrates	demonstrate	VERB
ejpam-6336	32	5	how	how	SCONJ
ejpam-6336	32	6	fractional	fractional	ADJ
ejpam-6336	32	7	calculus	calculus	NOUN
ejpam-6336	32	8	improves	improve	VERB
ejpam-6336	32	9	stability	stability	NOUN
ejpam-6336	32	10	criteria	criterion	NOUN
ejpam-6336	32	11	for	for	ADP
ejpam-6336	32	12	cyberattack	cyberattack	NOUN
ejpam-6336	32	13	models	model	NOUN
ejpam-6336	32	14	.	.	PUNCT
ejpam-6336	33	1	unlike	unlike	ADP
ejpam-6336	33	2	[	[	X
ejpam-6336	33	3	18	18	NUM
ejpam-6336	33	4	,	,	PUNCT
ejpam-6336	33	5	19	19	NUM
ejpam-6336	33	6	]	]	PUNCT
ejpam-6336	33	7	,	,	PUNCT
ejpam-6336	33	8	our	our	PRON
ejpam-6336	33	9	model	model	NOUN
ejpam-6336	33	10	explicitly	explicitly	ADV
ejpam-6336	33	11	accounts	account	VERB
ejpam-6336	33	12	for	for	ADP
ejpam-6336	33	13	botnet	botnet	NOUN
ejpam-6336	33	14	recruitment	recruitment	NOUN
ejpam-6336	33	15	(	(	PUNCT
ejpam-6336	33	16	c	c	NOUN
ejpam-6336	33	17	)	)	PUNCT
ejpam-6336	33	18	and	and	CCONJ
ejpam-6336	33	19	attacker	attacker	NOUN
ejpam-6336	33	20	persistence	persistence	NOUN
ejpam-6336	33	21	(	(	PUNCT
ejpam-6336	33	22	a	a	NOUN
ejpam-6336	33	23	)	)	PUNCT
ejpam-6336	33	24	,	,	PUNCT
ejpam-6336	33	25	offering	offer	VERB
ejpam-6336	33	26	a	a	DET
ejpam-6336	33	27	more	more	ADV
ejpam-6336	33	28	granular	granular	ADJ
ejpam-6336	33	29	representation	representation	NOUN
ejpam-6336	33	30	of	of	ADP
ejpam-6336	33	31	modern	modern	ADJ
ejpam-6336	33	32	cyber	cyber	NOUN
ejpam-6336	33	33	threats	threat	NOUN
ejpam-6336	33	34	1.1	1.1	NUM
ejpam-6336	33	35	.	.	PUNCT
ejpam-6336	34	1	significance	significance	NOUN
ejpam-6336	34	2	this	this	DET
ejpam-6336	34	3	research	research	NOUN
ejpam-6336	34	4	developed	develop	VERB
ejpam-6336	34	5	a	a	DET
ejpam-6336	34	6	mathematical	mathematical	ADJ
ejpam-6336	34	7	model	model	NOUN
ejpam-6336	34	8	to	to	ADP
ejpam-6336	34	9	understanding	understand	VERB
ejpam-6336	34	10	the	the	DET
ejpam-6336	34	11	cyberattack	cyberattack	NOUN
ejpam-6336	34	12	propagation	propagation	NOUN
ejpam-6336	34	13	in	in	ADP
ejpam-6336	34	14	computer	computer	NOUN
ejpam-6336	34	15	networks	network	NOUN
ejpam-6336	34	16	.	.	PUNCT
ejpam-6336	35	1	by	by	ADP
ejpam-6336	35	2	integrating	integrate	VERB
ejpam-6336	35	3	stability	stability	NOUN
ejpam-6336	35	4	and	and	CCONJ
ejpam-6336	35	5	sensitivity	sensitivity	NOUN
ejpam-6336	35	6	analysis	analysis	NOUN
ejpam-6336	35	7	which	which	DET
ejpam-6336	35	8	pros	pro	NOUN
ejpam-6336	35	9	.	.	PUNCT
ejpam-6336	35	10	ahmad	ahmad	PROPN
ejpam-6336	35	11	,	,	PUNCT
ejpam-6336	35	12	n.	n.	PROPN
ejpam-6336	35	13	ahmad	ahmad	PROPN
ejpam-6336	35	14	,	,	PUNCT
ejpam-6336	35	15	i.	i.	PROPN
ejpam-6336	35	16	shah	shah	PROPN
ejpam-6336	35	17	/	/	SYM
ejpam-6336	35	18	eur	eur	PROPN
ejpam-6336	35	19	.	.	PUNCT
ejpam-6336	36	1	j.	j.	PROPN
ejpam-6336	36	2	pure	pure	PROPN
ejpam-6336	36	3	appl	appl	PROPN
ejpam-6336	36	4	.	.	PROPN
ejpam-6336	36	5	math	math	PROPN
ejpam-6336	36	6	,	,	PUNCT
ejpam-6336	36	7	18	18	NUM
ejpam-6336	36	8	(	(	PUNCT
ejpam-6336	36	9	3	3	NUM
ejpam-6336	36	10	)	)	PUNCT
ejpam-6336	36	11	(	(	PUNCT
ejpam-6336	36	12	2025	2025	NUM
ejpam-6336	36	13	)	)	PUNCT
ejpam-6336	36	14	,	,	PUNCT
ejpam-6336	36	15	6336	6336	NUM
ejpam-6336	36	16	3	3	NUM
ejpam-6336	36	17	of	of	ADP
ejpam-6336	36	18	24	24	NUM
ejpam-6336	36	19	duce	duce	NOUN
ejpam-6336	36	20	better	well	ADJ
ejpam-6336	36	21	prediction	prediction	NOUN
ejpam-6336	36	22	results	result	NOUN
ejpam-6336	36	23	,	,	PUNCT
ejpam-6336	36	24	accuracy	accuracy	NOUN
ejpam-6336	36	25	and	and	CCONJ
ejpam-6336	36	26	provides	provide	VERB
ejpam-6336	36	27	deeper	deep	ADJ
ejpam-6336	36	28	knowledge	knowledge	NOUN
ejpam-6336	36	29	into	into	ADP
ejpam-6336	36	30	the	the	DET
ejpam-6336	36	31	spread	spread	ADJ
ejpam-6336	36	32	and	and	CCONJ
ejpam-6336	36	33	control	control	NOUN
ejpam-6336	36	34	mechanisms	mechanism	NOUN
ejpam-6336	36	35	of	of	ADP
ejpam-6336	36	36	malware	malware	NOUN
ejpam-6336	36	37	threats	threat	NOUN
ejpam-6336	36	38	.	.	PUNCT
ejpam-6336	37	1	1.2	1.2	NUM
ejpam-6336	37	2	.	.	PUNCT
ejpam-6336	37	3	novelty	novelty	NOUN
ejpam-6336	37	4	unlike	unlike	ADP
ejpam-6336	37	5	conventional	conventional	ADJ
ejpam-6336	37	6	models	model	NOUN
ejpam-6336	37	7	,	,	PUNCT
ejpam-6336	37	8	this	this	DET
ejpam-6336	37	9	study	study	NOUN
ejpam-6336	37	10	does	do	AUX
ejpam-6336	37	11	not	not	PART
ejpam-6336	37	12	assume	assume	VERB
ejpam-6336	37	13	permanent	permanent	ADJ
ejpam-6336	37	14	immunity	immunity	NOUN
ejpam-6336	37	15	postinfection	postinfection	NOUN
ejpam-6336	37	16	,	,	PUNCT
ejpam-6336	37	17	which	which	PRON
ejpam-6336	37	18	allows	allow	VERB
ejpam-6336	37	19	reinfection	reinfection	NOUN
ejpam-6336	37	20	.	.	PUNCT
ejpam-6336	38	1	thus	thus	ADV
ejpam-6336	38	2	,	,	PUNCT
ejpam-6336	38	3	it	it	PRON
ejpam-6336	38	4	is	be	AUX
ejpam-6336	38	5	a	a	DET
ejpam-6336	38	6	more	more	ADV
ejpam-6336	38	7	realistic	realistic	ADJ
ejpam-6336	38	8	representation	representation	NOUN
ejpam-6336	38	9	of	of	ADP
ejpam-6336	38	10	cyber	cyber	PROPN
ejpam-6336	38	11	threats	threat	NOUN
ejpam-6336	38	12	.	.	PUNCT
ejpam-6336	39	1	moreover	moreover	ADV
ejpam-6336	39	2	,	,	PUNCT
ejpam-6336	39	3	this	this	DET
ejpam-6336	39	4	model	model	NOUN
ejpam-6336	39	5	includes	include	VERB
ejpam-6336	39	6	dynamical	dynamical	ADJ
ejpam-6336	39	7	analysis	analysis	NOUN
ejpam-6336	39	8	tools	tool	NOUN
ejpam-6336	39	9	as	as	ADV
ejpam-6336	39	10	well	well	ADV
ejpam-6336	39	11	as	as	ADP
ejpam-6336	39	12	real	real	ADJ
ejpam-6336	39	13	-	-	PUNCT
ejpam-6336	39	14	world	world	NOUN
ejpam-6336	39	15	security	security	NOUN
ejpam-6336	39	16	parameters	parameter	NOUN
ejpam-6336	39	17	,	,	PUNCT
ejpam-6336	39	18	which	which	PRON
ejpam-6336	39	19	put	put	VERB
ejpam-6336	39	20	together	together	ADV
ejpam-6336	39	21	makes	make	VERB
ejpam-6336	39	22	it	it	PRON
ejpam-6336	39	23	a	a	DET
ejpam-6336	39	24	very	very	ADV
ejpam-6336	39	25	robust	robust	ADJ
ejpam-6336	39	26	framework	framework	NOUN
ejpam-6336	39	27	to	to	PART
ejpam-6336	39	28	offer	offer	VERB
ejpam-6336	39	29	a	a	DET
ejpam-6336	39	30	comprehensive	comprehensive	ADJ
ejpam-6336	39	31	framework	framework	NOUN
ejpam-6336	39	32	for	for	ADP
ejpam-6336	39	33	assessing	assess	VERB
ejpam-6336	39	34	network	network	NOUN
ejpam-6336	39	35	vulnerability	vulnerability	NOUN
ejpam-6336	39	36	.	.	PUNCT
ejpam-6336	40	1	1.3	1.3	NUM
ejpam-6336	40	2	.	.	PUNCT
ejpam-6336	40	3	applicability	applicability	NOUN
ejpam-6336	40	4	the	the	DET
ejpam-6336	40	5	results	result	NOUN
ejpam-6336	40	6	of	of	ADP
ejpam-6336	40	7	the	the	DET
ejpam-6336	40	8	model	model	NOUN
ejpam-6336	40	9	would	would	AUX
ejpam-6336	40	10	provide	provide	VERB
ejpam-6336	40	11	better	well	ADV
ejpam-6336	40	12	-	-	PUNCT
ejpam-6336	40	13	informed	inform	VERB
ejpam-6336	40	14	cybersecurity	cybersecurity	NOUN
ejpam-6336	40	15	strategies	strategy	NOUN
ejpam-6336	40	16	towards	towards	ADP
ejpam-6336	40	17	optimization	optimization	NOUN
ejpam-6336	40	18	of	of	ADP
ejpam-6336	40	19	efforts	effort	NOUN
ejpam-6336	40	20	in	in	ADP
ejpam-6336	40	21	immunization	immunization	NOUN
ejpam-6336	40	22	,	,	PUNCT
ejpam-6336	40	23	enhancing	enhance	VERB
ejpam-6336	40	24	network	network	NOUN
ejpam-6336	40	25	defenses	defense	NOUN
ejpam-6336	40	26	,	,	PUNCT
ejpam-6336	40	27	and	and	CCONJ
ejpam-6336	40	28	predicting	predict	VERB
ejpam-6336	40	29	future	future	ADJ
ejpam-6336	40	30	patterns	pattern	NOUN
ejpam-6336	40	31	of	of	ADP
ejpam-6336	40	32	attacks	attack	NOUN
ejpam-6336	40	33	.	.	PUNCT
ejpam-6336	41	1	more	more	ADJ
ejpam-6336	41	2	of	of	ADP
ejpam-6336	41	3	practical	practical	ADJ
ejpam-6336	41	4	significance	significance	NOUN
ejpam-6336	41	5	is	be	AUX
ejpam-6336	41	6	that	that	SCONJ
ejpam-6336	41	7	it	it	PRON
ejpam-6336	41	8	can	can	AUX
ejpam-6336	41	9	be	be	AUX
ejpam-6336	41	10	used	use	VERB
ejpam-6336	41	11	in	in	ADP
ejpam-6336	41	12	developing	develop	VERB
ejpam-6336	41	13	security	security	NOUN
ejpam-6336	41	14	protocols	protocol	NOUN
ejpam-6336	41	15	for	for	ADP
ejpam-6336	41	16	large	large	ADJ
ejpam-6336	41	17	systems	system	NOUN
ejpam-6336	41	18	or	or	CCONJ
ejpam-6336	41	19	enterprises	enterprise	NOUN
ejpam-6336	41	20	and	and	CCONJ
ejpam-6336	41	21	in	in	ADP
ejpam-6336	41	22	reducing	reduce	VERB
ejpam-6336	41	23	the	the	DET
ejpam-6336	41	24	effect	effect	NOUN
ejpam-6336	41	25	of	of	ADP
ejpam-6336	41	26	malware	malware	NOUN
ejpam-6336	41	27	on	on	ADP
ejpam-6336	41	28	systems	system	NOUN
ejpam-6336	41	29	as	as	ADV
ejpam-6336	41	30	well	well	ADV
ejpam-6336	41	31	as	as	ADP
ejpam-6336	41	32	better	well	ADJ
ejpam-6336	41	33	preparedness	preparedness	NOUN
ejpam-6336	41	34	of	of	ADP
ejpam-6336	41	35	systems	system	NOUN
ejpam-6336	41	36	against	against	ADP
ejpam-6336	41	37	continuously	continuously	ADV
ejpam-6336	41	38	evolving	evolve	VERB
ejpam-6336	41	39	threats	threat	NOUN
ejpam-6336	41	40	in	in	ADP
ejpam-6336	41	41	cyberspace	cyberspace	NOUN
ejpam-6336	41	42	.	.	PUNCT
ejpam-6336	42	1	2	2	X
ejpam-6336	42	2	.	.	X
ejpam-6336	42	3	mathematical	mathematical	ADJ
ejpam-6336	42	4	model	model	NOUN
ejpam-6336	42	5	the	the	DET
ejpam-6336	42	6	analysis	analysis	NOUN
ejpam-6336	42	7	of	of	ADP
ejpam-6336	42	8	cyberattack	cyberattack	NOUN
ejpam-6336	42	9	spread	spread	NOUN
ejpam-6336	42	10	and	and	CCONJ
ejpam-6336	42	11	impact	impact	NOUN
ejpam-6336	42	12	in	in	ADP
ejpam-6336	42	13	computer	computer	NOUN
ejpam-6336	42	14	networks	network	NOUN
ejpam-6336	42	15	requires	require	VERB
ejpam-6336	42	16	a	a	DET
ejpam-6336	42	17	mathematical	mathematical	ADJ
ejpam-6336	42	18	model	model	NOUN
ejpam-6336	42	19	which	which	PRON
ejpam-6336	42	20	represents	represent	VERB
ejpam-6336	42	21	network	network	NOUN
ejpam-6336	42	22	component	component	NOUN
ejpam-6336	42	23	dynamic	dynamic	ADJ
ejpam-6336	42	24	relationships	relationship	NOUN
ejpam-6336	42	25	between	between	ADP
ejpam-6336	42	26	different	different	ADJ
ejpam-6336	42	27	components	component	NOUN
ejpam-6336	42	28	.	.	PUNCT
ejpam-6336	43	1	the	the	DET
ejpam-6336	43	2	model	model	NOUN
ejpam-6336	43	3	organizes	organize	VERB
ejpam-6336	43	4	network	network	NOUN
ejpam-6336	43	5	nodes	node	NOUN
ejpam-6336	43	6	into	into	ADP
ejpam-6336	43	7	separate	separate	ADJ
ejpam-6336	43	8	states	state	NOUN
ejpam-6336	43	9	which	which	PRON
ejpam-6336	43	10	include	include	VERB
ejpam-6336	43	11	susceptible	susceptible	ADJ
ejpam-6336	43	12	,	,	PUNCT
ejpam-6336	43	13	exposed	expose	VERB
ejpam-6336	43	14	,	,	PUNCT
ejpam-6336	43	15	infected	infect	VERB
ejpam-6336	43	16	,	,	PUNCT
ejpam-6336	43	17	controlled	control	VERB
ejpam-6336	43	18	(	(	PUNCT
ejpam-6336	43	19	botnet	botnet	NOUN
ejpam-6336	43	20	)	)	PUNCT
ejpam-6336	43	21	,	,	PUNCT
ejpam-6336	43	22	recovered	recover	VERB
ejpam-6336	43	23	,	,	PUNCT
ejpam-6336	43	24	protected	protect	VERB
ejpam-6336	43	25	,	,	PUNCT
ejpam-6336	43	26	disabled	disabled	ADJ
ejpam-6336	43	27	and	and	CCONJ
ejpam-6336	43	28	attacking	attack	VERB
ejpam-6336	43	29	entities	entity	NOUN
ejpam-6336	43	30	.	.	PUNCT
ejpam-6336	44	1	each	each	DET
ejpam-6336	44	2	state	state	NOUN
ejpam-6336	44	3	transitions	transition	NOUN
ejpam-6336	44	4	based	base	VERB
ejpam-6336	44	5	on	on	ADP
ejpam-6336	44	6	specific	specific	ADJ
ejpam-6336	44	7	factors	factor	NOUN
ejpam-6336	44	8	such	such	ADJ
ejpam-6336	44	9	as	as	ADP
ejpam-6336	44	10	infection	infection	NOUN
ejpam-6336	44	11	rates	rate	NOUN
ejpam-6336	44	12	,	,	PUNCT
ejpam-6336	44	13	recovery	recovery	NOUN
ejpam-6336	44	14	mechanisms	mechanism	NOUN
ejpam-6336	44	15	,	,	PUNCT
ejpam-6336	44	16	and	and	CCONJ
ejpam-6336	44	17	external	external	ADJ
ejpam-6336	44	18	attack	attack	NOUN
ejpam-6336	44	19	influences	influence	NOUN
ejpam-6336	44	20	.	.	PUNCT
ejpam-6336	45	1	the	the	DET
ejpam-6336	45	2	system	system	NOUN
ejpam-6336	45	3	is	be	AUX
ejpam-6336	45	4	governed	govern	VERB
ejpam-6336	45	5	by	by	ADP
ejpam-6336	45	6	a	a	DET
ejpam-6336	45	7	set	set	NOUN
ejpam-6336	45	8	of	of	ADP
ejpam-6336	45	9	differential	differential	ADJ
ejpam-6336	45	10	equations	equation	NOUN
ejpam-6336	45	11	that	that	PRON
ejpam-6336	45	12	describe	describe	VERB
ejpam-6336	45	13	the	the	DET
ejpam-6336	45	14	evolution	evolution	NOUN
ejpam-6336	45	15	of	of	ADP
ejpam-6336	45	16	these	these	DET
ejpam-6336	45	17	states	state	NOUN
ejpam-6336	45	18	over	over	ADP
ejpam-6336	45	19	time	time	NOUN
ejpam-6336	45	20	.	.	PUNCT
ejpam-6336	46	1	by	by	ADP
ejpam-6336	46	2	incorporating	incorporate	VERB
ejpam-6336	46	3	key	key	ADJ
ejpam-6336	46	4	cybersecurity	cybersecurity	NOUN
ejpam-6336	46	5	parameters	parameter	NOUN
ejpam-6336	46	6	,	,	PUNCT
ejpam-6336	46	7	this	this	DET
ejpam-6336	46	8	framework	framework	NOUN
ejpam-6336	46	9	provides	provide	VERB
ejpam-6336	46	10	insights	insight	NOUN
ejpam-6336	46	11	into	into	ADP
ejpam-6336	46	12	the	the	DET
ejpam-6336	46	13	mechanisms	mechanism	NOUN
ejpam-6336	46	14	driving	drive	VERB
ejpam-6336	46	15	cyber	cyber	NOUN
ejpam-6336	46	16	threats	threat	NOUN
ejpam-6336	46	17	and	and	CCONJ
ejpam-6336	46	18	helps	help	VERB
ejpam-6336	46	19	evaluate	evaluate	VERB
ejpam-6336	46	20	potential	potential	ADJ
ejpam-6336	46	21	mitigation	mitigation	NOUN
ejpam-6336	46	22	strategies	strategy	NOUN
ejpam-6336	46	23	.	.	PUNCT
ejpam-6336	47	1	the	the	DET
ejpam-6336	47	2	mathematical	mathematical	ADJ
ejpam-6336	47	3	s.	s.	PROPN
ejpam-6336	47	4	ahmad	ahmad	PROPN
ejpam-6336	47	5	,	,	PUNCT
ejpam-6336	47	6	n.	n.	PROPN
ejpam-6336	47	7	ahmad	ahmad	PROPN
ejpam-6336	47	8	,	,	PUNCT
ejpam-6336	47	9	i.	i.	PROPN
ejpam-6336	47	10	shah	shah	PROPN
ejpam-6336	47	11	/	/	SYM
ejpam-6336	47	12	eur	eur	PROPN
ejpam-6336	47	13	.	.	PUNCT
ejpam-6336	48	1	j.	j.	PROPN
ejpam-6336	48	2	pure	pure	PROPN
ejpam-6336	48	3	appl	appl	PROPN
ejpam-6336	48	4	.	.	PROPN
ejpam-6336	48	5	math	math	PROPN
ejpam-6336	48	6	,	,	PUNCT
ejpam-6336	48	7	18	18	NUM
ejpam-6336	48	8	(	(	PUNCT
ejpam-6336	48	9	3	3	NUM
ejpam-6336	48	10	)	)	PUNCT
ejpam-6336	48	11	(	(	PUNCT
ejpam-6336	48	12	2025	2025	NUM
ejpam-6336	48	13	)	)	PUNCT
ejpam-6336	48	14	,	,	PUNCT
ejpam-6336	48	15	6336	6336	NUM
ejpam-6336	48	16	4	4	NUM
ejpam-6336	48	17	of	of	ADP
ejpam-6336	48	18	24	24	NUM
ejpam-6336	48	19	formulation	formulation	NOUN
ejpam-6336	48	20	is	be	AUX
ejpam-6336	48	21	presented	present	VERB
ejpam-6336	48	22	as	as	ADP
ejpam-6336	48	23	follows:	follows:	NUM
ejpam-6336	48	24	ds	ds	ADJ
ejpam-6336	48	25	dt	dt	NOUN
ejpam-6336	48	26	=	=	SYM
ejpam-6336	48	27	λ−	λ−	PROPN
ejpam-6336	48	28	µs	µs	ADP
ejpam-6336	48	29	−	−	PROPN
ejpam-6336	48	30	β1si	β1si	PUNCT
ejpam-6336	48	31	−	−	PROPN
ejpam-6336	48	32	β2sc	β2sc	PUNCT
ejpam-6336	49	1	+	+	CCONJ
ejpam-6336	49	2	ωr	ωr	ADJ
ejpam-6336	49	3	,	,	PUNCT
ejpam-6336	49	4	de	de	X
ejpam-6336	49	5	dt	dt	NOUN
ejpam-6336	49	6	=	=	PUNCT
ejpam-6336	49	7	β1si	β1si	PUNCT
ejpam-6336	49	8	+	+	CCONJ
ejpam-6336	49	9	β2sc	β2sc	PUNCT
ejpam-6336	49	10	−	−	PUNCT
ejpam-6336	49	11	(	(	PUNCT
ejpam-6336	49	12	α+	α+	X
ejpam-6336	49	13	µ)e	µ)e	NOUN
ejpam-6336	49	14	,	,	PUNCT
ejpam-6336	49	15	di	di	NOUN
ejpam-6336	49	16	dt	dt	NOUN
ejpam-6336	49	17	=	=	PUNCT
ejpam-6336	49	18	αe	αe	PROPN
ejpam-6336	49	19	−	−	PROPN
ejpam-6336	49	20	(	(	PUNCT
ejpam-6336	49	21	γ	γ	X
ejpam-6336	49	22	+	+	PROPN
ejpam-6336	49	23	δ	δ	PROPN
ejpam-6336	49	24	+	+	CCONJ
ejpam-6336	49	25	µ)i	µ)i	X
ejpam-6336	49	26	+	+	CCONJ
ejpam-6336	49	27	θc	θc	NOUN
ejpam-6336	49	28	,	,	PUNCT
ejpam-6336	49	29	dc	dc	PROPN
ejpam-6336	49	30	dt	dt	X
ejpam-6336	50	1	=	=	SYM
ejpam-6336	50	2	ρi	ρi	PROPN
ejpam-6336	50	3	−	−	PROPN
ejpam-6336	50	4	(	(	PUNCT
ejpam-6336	50	5	σ	σ	NOUN
ejpam-6336	50	6	+	+	PUNCT
ejpam-6336	50	7	µ)c	µ)c	PROPN
ejpam-6336	50	8	,	,	PUNCT
ejpam-6336	50	9	dr	dr	PROPN
ejpam-6336	50	10	dt	dt	PROPN
ejpam-6336	50	11	=	=	PROPN
ejpam-6336	50	12	γi	γi	PROPN
ejpam-6336	50	13	−	−	PROPN
ejpam-6336	50	14	(	(	PUNCT
ejpam-6336	50	15	ω	ω	NOUN
ejpam-6336	50	16	+	+	CCONJ
ejpam-6336	50	17	µ)r	µ)r	NOUN
ejpam-6336	50	18	,	,	PUNCT
ejpam-6336	50	19	dp	dp	NOUN
ejpam-6336	50	20	dt	dt	NOUN
ejpam-6336	50	21	=	=	PUNCT
ejpam-6336	50	22	σc	σc	PROPN
ejpam-6336	51	1	+	+	CCONJ
ejpam-6336	51	2	ηd	ηd	VERB
ejpam-6336	51	3	−	−	PROPN
ejpam-6336	51	4	µp	µp	NOUN
ejpam-6336	51	5	,	,	PUNCT
ejpam-6336	51	6	dd	dd	ADJ
ejpam-6336	51	7	dt	dt	NOUN
ejpam-6336	51	8	=	=	PUNCT
ejpam-6336	51	9	δi	δi	PROPN
ejpam-6336	51	10	−	−	PROPN
ejpam-6336	51	11	ηd	ηd	NOUN
ejpam-6336	51	12	,	,	PUNCT
ejpam-6336	51	13	da	da	ADJ
ejpam-6336	51	14	dt	dt	NOUN
ejpam-6336	52	1	=	=	PUNCT
ejpam-6336	52	2	κi	κi	NOUN
ejpam-6336	52	3	−	−	PROPN
ejpam-6336	53	1	λa	λa	NOUN
ejpam-6336	53	2	.	.	PUNCT
ejpam-6336	53	3	(	(	PUNCT
ejpam-6336	53	4	1	1	X
ejpam-6336	53	5	)	)	PUNCT
ejpam-6336	53	6	s(0	s(0	PROPN
ejpam-6336	53	7	)	)	PUNCT
ejpam-6336	53	8	=	=	SYM
ejpam-6336	53	9	s0	s0	PROPN
ejpam-6336	53	10	>	>	X
ejpam-6336	53	11	0	0	NUM
ejpam-6336	53	12	,	,	PUNCT
ejpam-6336	53	13	e(0	e(0	NOUN
ejpam-6336	53	14	)	)	PUNCT
ejpam-6336	53	15	=	=	SYM
ejpam-6336	53	16	e0	e0	PROPN
ejpam-6336	53	17	≥	≥	NUM
ejpam-6336	53	18	0	0	NUM
ejpam-6336	53	19	,	,	PUNCT
ejpam-6336	53	20	i(0	i(0	PROPN
ejpam-6336	53	21	)	)	PUNCT
ejpam-6336	54	1	=	=	SYM
ejpam-6336	54	2	i0	i0	PROPN
ejpam-6336	54	3	≥	≥	NUM
ejpam-6336	54	4	0	0	NUM
ejpam-6336	54	5	,	,	PUNCT
ejpam-6336	54	6	c(0	c(0	NOUN
ejpam-6336	54	7	)	)	PUNCT
ejpam-6336	55	1	=	=	SYM
ejpam-6336	55	2	c0	c0	X
ejpam-6336	55	3	≥	≥	NOUN
ejpam-6336	55	4	0	0	NUM
ejpam-6336	55	5	,	,	PUNCT
ejpam-6336	55	6	r(0	r(0	PROPN
ejpam-6336	55	7	)	)	PUNCT
ejpam-6336	55	8	=	=	SYM
ejpam-6336	55	9	r0	r0	NOUN
ejpam-6336	55	10	>	>	X
ejpam-6336	55	11	0	0	PROPN
ejpam-6336	55	12	,	,	PUNCT
ejpam-6336	55	13	p	p	X
ejpam-6336	55	14	(	(	PUNCT
ejpam-6336	55	15	0	0	NUM
ejpam-6336	55	16	)	)	PUNCT
ejpam-6336	55	17	=	=	SYM
ejpam-6336	56	1	p	p	X
ejpam-6336	56	2	0	0	NUM
ejpam-6336	56	3	≥	≥	NOUN
ejpam-6336	56	4	0	0	NUM
ejpam-6336	56	5	,	,	PUNCT
ejpam-6336	56	6	d(0	d(0	NOUN
ejpam-6336	56	7	)	)	PUNCT
ejpam-6336	56	8	=	=	SYM
ejpam-6336	56	9	d0	d0	NOUN
ejpam-6336	56	10	≥	≥	NUM
ejpam-6336	56	11	0	0	NUM
ejpam-6336	56	12	,	,	PUNCT
ejpam-6336	56	13	a(0	a(0	PROPN
ejpam-6336	56	14	)	)	PUNCT
ejpam-6336	56	15	=	=	PROPN
ejpam-6336	56	16	a0	a0	PROPN
ejpam-6336	56	17	≥	≥	NOUN
ejpam-6336	56	18	0	0	NUM
ejpam-6336	56	19	.	.	PUNCT
ejpam-6336	57	1	(	(	PUNCT
ejpam-6336	57	2	2	2	X
ejpam-6336	57	3	)	)	PUNCT
ejpam-6336	57	4	s.	s.	PROPN
ejpam-6336	57	5	ahmad	ahmad	PROPN
ejpam-6336	57	6	,	,	PUNCT
ejpam-6336	57	7	n.	n.	PROPN
ejpam-6336	57	8	ahmad	ahmad	PROPN
ejpam-6336	57	9	,	,	PUNCT
ejpam-6336	57	10	i.	i.	PROPN
ejpam-6336	57	11	shah	shah	PROPN
ejpam-6336	57	12	/	/	SYM
ejpam-6336	57	13	eur	eur	PROPN
ejpam-6336	57	14	.	.	PUNCT
ejpam-6336	58	1	j.	j.	PROPN
ejpam-6336	58	2	pure	pure	PROPN
ejpam-6336	58	3	appl	appl	PROPN
ejpam-6336	58	4	.	.	PROPN
ejpam-6336	58	5	math	math	PROPN
ejpam-6336	58	6	,	,	PUNCT
ejpam-6336	58	7	18	18	NUM
ejpam-6336	58	8	(	(	PUNCT
ejpam-6336	58	9	3	3	NUM
ejpam-6336	58	10	)	)	PUNCT
ejpam-6336	58	11	(	(	PUNCT
ejpam-6336	58	12	2025	2025	NUM
ejpam-6336	58	13	)	)	PUNCT
ejpam-6336	58	14	,	,	PUNCT
ejpam-6336	58	15	6336	6336	NUM
ejpam-6336	58	16	5	5	NUM
ejpam-6336	58	17	of	of	ADP
ejpam-6336	58	18	24	24	NUM
ejpam-6336	58	19	nomenclatures	nomenclature	NOUN
ejpam-6336	58	20	description	description	NOUN
ejpam-6336	58	21	s	s	VERB
ejpam-6336	58	22	susceptible	susceptible	ADJ
ejpam-6336	58	23	nodes	node	NOUN
ejpam-6336	58	24	(	(	PUNCT
ejpam-6336	58	25	vulnerable	vulnerable	ADJ
ejpam-6336	58	26	devices	device	NOUN
ejpam-6336	58	27	)	)	PUNCT
ejpam-6336	58	28	e	e	NOUN
ejpam-6336	58	29	exposed	expose	VERB
ejpam-6336	58	30	nodes	node	NOUN
ejpam-6336	58	31	(	(	PUNCT
ejpam-6336	58	32	compromised	compromised	ADJ
ejpam-6336	58	33	but	but	CCONJ
ejpam-6336	58	34	inactive	inactive	ADJ
ejpam-6336	58	35	)	)	PUNCT
ejpam-6336	58	36	i	i	PRON
ejpam-6336	58	37	infected	infect	VERB
ejpam-6336	58	38	nodes	node	NOUN
ejpam-6336	58	39	(	(	PUNCT
ejpam-6336	58	40	actively	actively	ADV
ejpam-6336	58	41	spreading	spread	VERB
ejpam-6336	58	42	malware	malware	NOUN
ejpam-6336	58	43	)	)	PUNCT
ejpam-6336	58	44	c	c	PROPN
ejpam-6336	58	45	controlled	control	VERB
ejpam-6336	58	46	nodes	node	NOUN
ejpam-6336	58	47	(	(	PUNCT
ejpam-6336	58	48	part	part	NOUN
ejpam-6336	58	49	of	of	ADP
ejpam-6336	58	50	botnets	botnet	NOUN
ejpam-6336	58	51	)	)	PUNCT
ejpam-6336	58	52	r	r	NOUN
ejpam-6336	58	53	recovered	recover	VERB
ejpam-6336	58	54	nodes	node	NOUN
ejpam-6336	58	55	(	(	PUNCT
ejpam-6336	58	56	patched	patch	VERB
ejpam-6336	58	57	or	or	CCONJ
ejpam-6336	58	58	cleaned	clean	VERB
ejpam-6336	58	59	systems	system	NOUN
ejpam-6336	58	60	)	)	PUNCT
ejpam-6336	58	61	p	p	NOUN
ejpam-6336	58	62	protected	protect	VERB
ejpam-6336	58	63	nodes	node	NOUN
ejpam-6336	58	64	(	(	PUNCT
ejpam-6336	58	65	secured	secured	ADJ
ejpam-6336	58	66	and	and	CCONJ
ejpam-6336	58	67	immune	immune	ADJ
ejpam-6336	58	68	to	to	ADP
ejpam-6336	58	69	attacks	attack	NOUN
ejpam-6336	58	70	)	)	PUNCT
ejpam-6336	58	71	d	d	ADP
ejpam-6336	58	72	disabled	disabled	ADJ
ejpam-6336	58	73	nodes	node	NOUN
ejpam-6336	58	74	(	(	PUNCT
ejpam-6336	58	75	permanently	permanently	ADV
ejpam-6336	58	76	damaged	damage	VERB
ejpam-6336	58	77	devices	device	NOUN
ejpam-6336	58	78	)	)	PUNCT
ejpam-6336	58	79	a	a	DET
ejpam-6336	58	80	attackers	attacker	NOUN
ejpam-6336	58	81	(	(	PUNCT
ejpam-6336	58	82	external	external	ADJ
ejpam-6336	58	83	entities	entity	NOUN
ejpam-6336	58	84	launching	launch	VERB
ejpam-6336	58	85	cyberattacks	cyberattack	NOUN
ejpam-6336	58	86	)	)	PUNCT
ejpam-6336	58	87	λ	λ	NOUN
ejpam-6336	58	88	rate	rate	NOUN
ejpam-6336	58	89	of	of	ADP
ejpam-6336	58	90	new	new	ADJ
ejpam-6336	58	91	devices	device	NOUN
ejpam-6336	58	92	joining	join	VERB
ejpam-6336	58	93	the	the	DET
ejpam-6336	58	94	network	network	NOUN
ejpam-6336	58	95	µ	µ	PRON
ejpam-6336	58	96	natural	natural	ADJ
ejpam-6336	58	97	removal	removal	NOUN
ejpam-6336	58	98	rate	rate	NOUN
ejpam-6336	58	99	(	(	PUNCT
ejpam-6336	58	100	device	device	NOUN
ejpam-6336	58	101	decommissioning	decommissioning	NOUN
ejpam-6336	58	102	,	,	PUNCT
ejpam-6336	58	103	upgrades	upgrade	NOUN
ejpam-6336	58	104	)	)	PUNCT
ejpam-6336	58	105	β1	β1	NOUN
ejpam-6336	58	106	infection	infection	NOUN
ejpam-6336	58	107	rate	rate	NOUN
ejpam-6336	58	108	due	due	ADP
ejpam-6336	58	109	to	to	ADP
ejpam-6336	58	110	direct	direct	ADJ
ejpam-6336	58	111	attacks	attack	NOUN
ejpam-6336	58	112	from	from	ADP
ejpam-6336	58	113	infected	infect	VERB
ejpam-6336	58	114	nodes	node	NOUN
ejpam-6336	58	115	β2	β2	VERB
ejpam-6336	58	116	infection	infection	NOUN
ejpam-6336	58	117	rate	rate	NOUN
ejpam-6336	58	118	due	due	ADP
ejpam-6336	58	119	to	to	ADP
ejpam-6336	58	120	botnet	botnet	NOUN
ejpam-6336	58	121	-	-	PUNCT
ejpam-6336	58	122	controlled	control	VERB
ejpam-6336	58	123	nodes	node	NOUN
ejpam-6336	58	124	α	α	DET
ejpam-6336	58	125	rate	rate	NOUN
ejpam-6336	58	126	of	of	ADP
ejpam-6336	58	127	transition	transition	NOUN
ejpam-6336	58	128	from	from	ADP
ejpam-6336	58	129	exposed	expose	VERB
ejpam-6336	58	130	to	to	ADP
ejpam-6336	58	131	infected	infect	VERB
ejpam-6336	58	132	state	state	NOUN
ejpam-6336	58	133	γ	γ	PROPN
ejpam-6336	58	134	recovery	recovery	NOUN
ejpam-6336	58	135	rate	rate	NOUN
ejpam-6336	58	136	(	(	PUNCT
ejpam-6336	58	137	patching	patching	NOUN
ejpam-6336	58	138	,	,	PUNCT
ejpam-6336	58	139	rebooting	rebooting	NOUN
ejpam-6336	58	140	,	,	PUNCT
ejpam-6336	58	141	security	security	NOUN
ejpam-6336	58	142	updates	update	NOUN
ejpam-6336	58	143	)	)	PUNCT
ejpam-6336	58	144	δ	δ	NOUN
ejpam-6336	58	145	rate	rate	NOUN
ejpam-6336	58	146	of	of	ADP
ejpam-6336	58	147	infection	infection	NOUN
ejpam-6336	58	148	leading	lead	VERB
ejpam-6336	58	149	to	to	ADP
ejpam-6336	58	150	permanent	permanent	ADJ
ejpam-6336	58	151	damage	damage	NOUN
ejpam-6336	58	152	ω	ω	NOUN
ejpam-6336	58	153	rate	rate	NOUN
ejpam-6336	58	154	at	at	ADP
ejpam-6336	58	155	which	which	PRON
ejpam-6336	58	156	recovered	recover	VERB
ejpam-6336	58	157	systems	system	NOUN
ejpam-6336	58	158	become	become	VERB
ejpam-6336	58	159	vulnerable	vulnerable	ADJ
ejpam-6336	58	160	again	again	ADV
ejpam-6336	58	161	ρ	ρ	NUM
ejpam-6336	58	162	rate	rate	NOUN
ejpam-6336	58	163	of	of	ADP
ejpam-6336	58	164	infected	infected	ADJ
ejpam-6336	58	165	nodes	node	NOUN
ejpam-6336	58	166	being	be	AUX
ejpam-6336	58	167	recruited	recruit	VERB
ejpam-6336	58	168	into	into	ADP
ejpam-6336	58	169	botnets	botnet	NOUN
ejpam-6336	58	170	θ	θ	NOUN
ejpam-6336	58	171	rate	rate	NOUN
ejpam-6336	58	172	of	of	ADP
ejpam-6336	58	173	controlled	control	VERB
ejpam-6336	58	174	botnets	botnet	NOUN
ejpam-6336	58	175	returning	return	VERB
ejpam-6336	58	176	to	to	ADP
ejpam-6336	58	177	infected	infect	VERB
ejpam-6336	58	178	state	state	NOUN
ejpam-6336	58	179	σ	σ	PROPN
ejpam-6336	58	180	rate	rate	NOUN
ejpam-6336	58	181	of	of	ADP
ejpam-6336	58	182	botnet	botnet	NOUN
ejpam-6336	58	183	nodes	node	NOUN
ejpam-6336	58	184	being	be	AUX
ejpam-6336	58	185	recovered	recover	VERB
ejpam-6336	58	186	by	by	ADP
ejpam-6336	58	187	countermeasures	countermeasure	NOUN
ejpam-6336	58	188	η	η	PROPN
ejpam-6336	58	189	rate	rate	NOUN
ejpam-6336	58	190	of	of	ADP
ejpam-6336	58	191	restoring	restore	VERB
ejpam-6336	58	192	disabled	disabled	ADJ
ejpam-6336	58	193	devices	device	NOUN
ejpam-6336	58	194	κ	κ	NOUN
ejpam-6336	58	195	rate	rate	NOUN
ejpam-6336	58	196	at	at	ADP
ejpam-6336	58	197	which	which	PRON
ejpam-6336	58	198	attackers	attacker	NOUN
ejpam-6336	58	199	increase	increase	VERB
ejpam-6336	58	200	attacks	attack	NOUN
ejpam-6336	58	201	based	base	VERB
ejpam-6336	58	202	on	on	ADP
ejpam-6336	58	203	infected	infected	ADJ
ejpam-6336	58	204	nodes	node	NOUN
ejpam-6336	58	205	λ	λ	VERB
ejpam-6336	58	206	natural	natural	ADJ
ejpam-6336	58	207	decline	decline	NOUN
ejpam-6336	58	208	of	of	ADP
ejpam-6336	58	209	attacker	attacker	NOUN
ejpam-6336	58	210	activity	activity	NOUN
ejpam-6336	58	211	(	(	PUNCT
ejpam-6336	58	212	due	due	ADP
ejpam-6336	58	213	to	to	ADP
ejpam-6336	58	214	detection	detection	NOUN
ejpam-6336	58	215	,	,	PUNCT
ejpam-6336	58	216	mitigation	mitigation	NOUN
ejpam-6336	58	217	)	)	PUNCT
ejpam-6336	58	218	table	table	NOUN
ejpam-6336	58	219	1	1	NUM
ejpam-6336	58	220	:	:	PUNCT
ejpam-6336	58	221	description	description	NOUN
ejpam-6336	58	222	of	of	ADP
ejpam-6336	58	223	model	model	NOUN
ejpam-6336	58	224	variables	variable	NOUN
ejpam-6336	58	225	and	and	CCONJ
ejpam-6336	58	226	parameters	parameter	NOUN
ejpam-6336	58	227	.	.	PUNCT
ejpam-6336	59	1	table	table	NOUN
ejpam-6336	59	2	(	(	PUNCT
ejpam-6336	59	3	1	1	X
ejpam-6336	59	4	)	)	PUNCT
ejpam-6336	59	5	provides	provide	VERB
ejpam-6336	59	6	the	the	DET
ejpam-6336	59	7	details	detail	NOUN
ejpam-6336	59	8	of	of	ADP
ejpam-6336	59	9	model	model	NOUN
ejpam-6336	59	10	parameters	parameter	NOUN
ejpam-6336	59	11	.	.	PUNCT
ejpam-6336	60	1	flow	flow	VERB
ejpam-6336	60	2	chart	chart	NOUN
ejpam-6336	60	3	for	for	ADP
ejpam-6336	60	4	the	the	DET
ejpam-6336	60	5	model	model	NOUN
ejpam-6336	60	6	is	be	AUX
ejpam-6336	60	7	given	give	VERB
ejpam-6336	60	8	in	in	ADP
ejpam-6336	60	9	(	(	PUNCT
ejpam-6336	60	10	1	1	NUM
ejpam-6336	60	11	)	)	PUNCT
ejpam-6336	60	12	s.	s.	PROPN
ejpam-6336	60	13	ahmad	ahmad	PROPN
ejpam-6336	60	14	,	,	PUNCT
ejpam-6336	60	15	n.	n.	PROPN
ejpam-6336	60	16	ahmad	ahmad	PROPN
ejpam-6336	60	17	,	,	PUNCT
ejpam-6336	60	18	i.	i.	PROPN
ejpam-6336	60	19	shah	shah	PROPN
ejpam-6336	60	20	/	/	SYM
ejpam-6336	60	21	eur	eur	PROPN
ejpam-6336	60	22	.	.	PUNCT
ejpam-6336	61	1	j.	j.	PROPN
ejpam-6336	61	2	pure	pure	PROPN
ejpam-6336	61	3	appl	appl	PROPN
ejpam-6336	61	4	.	.	PROPN
ejpam-6336	61	5	math	math	PROPN
ejpam-6336	61	6	,	,	PUNCT
ejpam-6336	61	7	18	18	NUM
ejpam-6336	61	8	(	(	PUNCT
ejpam-6336	61	9	3	3	NUM
ejpam-6336	61	10	)	)	PUNCT
ejpam-6336	61	11	(	(	PUNCT
ejpam-6336	61	12	2025	2025	NUM
ejpam-6336	61	13	)	)	PUNCT
ejpam-6336	61	14	,	,	PUNCT
ejpam-6336	61	15	6336	6336	NUM
ejpam-6336	61	16	6	6	NUM
ejpam-6336	61	17	of	of	ADP
ejpam-6336	61	18	24	24	NUM
ejpam-6336	61	19	figure	figure	NOUN
ejpam-6336	61	20	1	1	NUM
ejpam-6336	61	21	:	:	PUNCT
ejpam-6336	61	22	dynamics	dynamic	NOUN
ejpam-6336	61	23	of	of	ADP
ejpam-6336	61	24	the	the	DET
ejpam-6336	61	25	proposed	propose	VERB
ejpam-6336	61	26	model	model	NOUN
ejpam-6336	61	27	.	.	PUNCT
ejpam-6336	62	1	3	3	X
ejpam-6336	62	2	.	.	X
ejpam-6336	62	3	positivity	positivity	NOUN
ejpam-6336	62	4	and	and	CCONJ
ejpam-6336	62	5	invariant	invariant	ADJ
ejpam-6336	62	6	region	region	NOUN
ejpam-6336	62	7	theorem	theorem	VERB
ejpam-6336	62	8	1	1	NUM
ejpam-6336	62	9	.	.	PUNCT
ejpam-6336	63	1	the	the	DET
ejpam-6336	63	2	solution	solution	NOUN
ejpam-6336	63	3	(	(	PUNCT
ejpam-6336	63	4	s(t	s(t	PROPN
ejpam-6336	63	5	)	)	PUNCT
ejpam-6336	63	6	,	,	PUNCT
ejpam-6336	63	7	e(t	e(t	NOUN
ejpam-6336	63	8	)	)	PUNCT
ejpam-6336	63	9	,	,	PUNCT
ejpam-6336	63	10	i(t	i(t	PROPN
ejpam-6336	63	11	)	)	PUNCT
ejpam-6336	63	12	,	,	PUNCT
ejpam-6336	63	13	c(t	c(t	PROPN
ejpam-6336	63	14	)	)	PUNCT
ejpam-6336	63	15	,	,	PUNCT
ejpam-6336	63	16	r(t	r(t	NOUN
ejpam-6336	63	17	)	)	PUNCT
ejpam-6336	63	18	,	,	PUNCT
ejpam-6336	63	19	p	p	X
ejpam-6336	63	20	(	(	PUNCT
ejpam-6336	63	21	t	t	PROPN
ejpam-6336	63	22	)	)	PUNCT
ejpam-6336	63	23	,	,	PUNCT
ejpam-6336	63	24	d(t	d(t	PROPN
ejpam-6336	63	25	)	)	PUNCT
ejpam-6336	63	26	,	,	PUNCT
ejpam-6336	63	27	a(t	a(t	NOUN
ejpam-6336	63	28	)	)	PUNCT
ejpam-6336	63	29	)	)	PUNCT
ejpam-6336	63	30	of	of	ADP
ejpam-6336	63	31	the	the	DET
ejpam-6336	63	32	system	system	NOUN
ejpam-6336	63	33	(	(	PUNCT
ejpam-6336	63	34	1	1	NUM
ejpam-6336	63	35	)	)	PUNCT
ejpam-6336	63	36	with	with	ADP
ejpam-6336	63	37	non	non	ADJ
ejpam-6336	63	38	-	-	ADJ
ejpam-6336	63	39	negative	negative	ADJ
ejpam-6336	63	40	initial	initial	ADJ
ejpam-6336	63	41	conditions	condition	NOUN
ejpam-6336	63	42	s(0	s(0	PROPN
ejpam-6336	63	43	)	)	PUNCT
ejpam-6336	63	44	,	,	PUNCT
ejpam-6336	63	45	e(0	e(0	NOUN
ejpam-6336	63	46	)	)	PUNCT
ejpam-6336	63	47	,	,	PUNCT
ejpam-6336	63	48	i(0	i(0	PROPN
ejpam-6336	63	49	)	)	PUNCT
ejpam-6336	63	50	,	,	PUNCT
ejpam-6336	63	51	c(0	c(0	PROPN
ejpam-6336	63	52	)	)	PUNCT
ejpam-6336	63	53	,	,	PUNCT
ejpam-6336	63	54	r(0	r(0	PROPN
ejpam-6336	63	55	)	)	PUNCT
ejpam-6336	63	56	,	,	PUNCT
ejpam-6336	63	57	p	p	X
ejpam-6336	63	58	(	(	PUNCT
ejpam-6336	63	59	0	0	NUM
ejpam-6336	63	60	)	)	PUNCT
ejpam-6336	63	61	,	,	PUNCT
ejpam-6336	63	62	d(0	d(0	PROPN
ejpam-6336	63	63	)	)	PUNCT
ejpam-6336	63	64	,	,	PUNCT
ejpam-6336	63	65	a(0	a(0	PROPN
ejpam-6336	63	66	)	)	PUNCT
ejpam-6336	63	67	≥	≥	NOUN
ejpam-6336	63	68	0	0	NUM
ejpam-6336	63	69	,	,	PUNCT
ejpam-6336	63	70	remains	remain	VERB
ejpam-6336	63	71	non	non	ADJ
ejpam-6336	63	72	-	-	ADJ
ejpam-6336	63	73	negative	negative	ADJ
ejpam-6336	63	74	for	for	ADP
ejpam-6336	63	75	all	all	DET
ejpam-6336	63	76	t	t	PROPN
ejpam-6336	63	77	≥	≥	NOUN
ejpam-6336	63	78	0	0	NUM
ejpam-6336	63	79	.	.	PUNCT
ejpam-6336	64	1	moreover	moreover	ADV
ejpam-6336	64	2	,	,	PUNCT
ejpam-6336	64	3	all	all	DET
ejpam-6336	64	4	solutions	solution	NOUN
ejpam-6336	64	5	are	be	AUX
ejpam-6336	64	6	bounded	bound	VERB
ejpam-6336	64	7	in	in	ADP
ejpam-6336	64	8	the	the	DET
ejpam-6336	64	9	region	region	NOUN
ejpam-6336	64	10	ω	ω	PROPN
ejpam-6336	64	11	=	=	SYM
ejpam-6336	64	12	{	{	PUNCT
ejpam-6336	64	13	(	(	PUNCT
ejpam-6336	64	14	s	s	X
ejpam-6336	64	15	,	,	PUNCT
ejpam-6336	64	16	e	e	NOUN
ejpam-6336	64	17	,	,	PUNCT
ejpam-6336	64	18	i	i	PRON
ejpam-6336	64	19	,	,	PUNCT
ejpam-6336	64	20	c	c	X
ejpam-6336	64	21	,	,	PUNCT
ejpam-6336	64	22	r	r	NOUN
ejpam-6336	64	23	,	,	PUNCT
ejpam-6336	64	24	p	p	X
ejpam-6336	64	25	,	,	PUNCT
ejpam-6336	64	26	d	d	NOUN
ejpam-6336	64	27	,	,	PUNCT
ejpam-6336	64	28	a	a	PRON
ejpam-6336	64	29	)	)	PUNCT
ejpam-6336	64	30	∈	∈	NOUN
ejpam-6336	64	31	r8	r8	NOUN
ejpam-6336	65	1	+	+	CCONJ
ejpam-6336	65	2	|	|	ADV
ejpam-6336	65	3	n	n	PRON
ejpam-6336	65	4	≤	≤	NOUN
ejpam-6336	65	5	λ	λ	PROPN
ejpam-6336	65	6	µ	µ	X
ejpam-6336	65	7	}	}	PUNCT
ejpam-6336	65	8	where	where	SCONJ
ejpam-6336	65	9	the	the	DET
ejpam-6336	65	10	total	total	ADJ
ejpam-6336	65	11	population	population	NOUN
ejpam-6336	65	12	of	of	ADP
ejpam-6336	65	13	network	network	NOUN
ejpam-6336	65	14	nodes	node	NOUN
ejpam-6336	65	15	,	,	PUNCT
ejpam-6336	65	16	n(t	n(t	PROPN
ejpam-6336	65	17	)	)	PUNCT
ejpam-6336	65	18	,	,	PUNCT
ejpam-6336	65	19	aggregates	aggregate	VERB
ejpam-6336	65	20	all	all	DET
ejpam-6336	65	21	non	non	ADJ
ejpam-6336	65	22	-	-	ADJ
ejpam-6336	65	23	attacker	attacker	ADJ
ejpam-6336	65	24	states	state	NOUN
ejpam-6336	65	25	:	:	PUNCT
ejpam-6336	65	26	n(t	n(t	X
ejpam-6336	65	27	)	)	PUNCT
ejpam-6336	65	28	=	=	PUNCT
ejpam-6336	65	29	s(t	s(t	PROPN
ejpam-6336	65	30	)	)	PUNCT
ejpam-6336	65	31	+	+	SYM
ejpam-6336	65	32	e(t	e(t	NOUN
ejpam-6336	65	33	)	)	PUNCT
ejpam-6336	65	34	+	+	CCONJ
ejpam-6336	65	35	i(t	i(t	NOUN
ejpam-6336	65	36	)	)	PUNCT
ejpam-6336	65	37	+	+	X
ejpam-6336	65	38	c(t	c(t	PROPN
ejpam-6336	65	39	)	)	PUNCT
ejpam-6336	65	40	+	+	NOUN
ejpam-6336	65	41	r(t	r(t	NOUN
ejpam-6336	65	42	)	)	PUNCT
ejpam-6336	66	1	+	+	CCONJ
ejpam-6336	66	2	p	p	X
ejpam-6336	66	3	(	(	PUNCT
ejpam-6336	66	4	t	t	PROPN
ejpam-6336	66	5	)	)	PUNCT
ejpam-6336	66	6	+	+	NOUN
ejpam-6336	66	7	d(t	d(t	PROPN
ejpam-6336	66	8	)	)	PUNCT
ejpam-6336	66	9	.	.	PUNCT
ejpam-6336	67	1	proof	proof	NOUN
ejpam-6336	67	2	.	.	PUNCT
ejpam-6336	68	1	to	to	PART
ejpam-6336	68	2	establish	establish	VERB
ejpam-6336	68	3	positivity	positivity	NOUN
ejpam-6336	68	4	,	,	PUNCT
ejpam-6336	68	5	we	we	PRON
ejpam-6336	68	6	analyze	analyze	VERB
ejpam-6336	68	7	each	each	DET
ejpam-6336	68	8	equation	equation	NOUN
ejpam-6336	68	9	separately	separately	ADV
ejpam-6336	68	10	.	.	PUNCT
ejpam-6336	69	1	suppose	suppose	VERB
ejpam-6336	69	2	there	there	PRON
ejpam-6336	69	3	exists	exist	VERB
ejpam-6336	69	4	a	a	DET
ejpam-6336	69	5	first	first	ADJ
ejpam-6336	69	6	time	time	NOUN
ejpam-6336	69	7	t∗	t∗	X
ejpam-6336	69	8	>	>	X
ejpam-6336	69	9	0	0	NUM
ejpam-6336	69	10	such	such	ADJ
ejpam-6336	69	11	that	that	PRON
ejpam-6336	69	12	s	s	NOUN
ejpam-6336	69	13	,	,	PUNCT
ejpam-6336	69	14	e	e	NOUN
ejpam-6336	69	15	,	,	PUNCT
ejpam-6336	69	16	i	i	PRON
ejpam-6336	69	17	,	,	PUNCT
ejpam-6336	69	18	c	c	X
ejpam-6336	69	19	,	,	PUNCT
ejpam-6336	69	20	r	r	NOUN
ejpam-6336	69	21	,	,	PUNCT
ejpam-6336	69	22	p	p	NOUN
ejpam-6336	69	23	,	,	PUNCT
ejpam-6336	69	24	or	or	CCONJ
ejpam-6336	69	25	d	d	NOUN
ejpam-6336	69	26	becomes	become	VERB
ejpam-6336	69	27	negative	negative	ADJ
ejpam-6336	69	28	.	.	PUNCT
ejpam-6336	70	1	from	from	ADP
ejpam-6336	70	2	the	the	DET
ejpam-6336	70	3	first	first	ADJ
ejpam-6336	70	4	equation	equation	NOUN
ejpam-6336	70	5	:	:	PUNCT
ejpam-6336	70	6	ds	ds	ADJ
ejpam-6336	70	7	dt	dt	NOUN
ejpam-6336	70	8	=	=	SYM
ejpam-6336	70	9	λ−	λ−	PROPN
ejpam-6336	70	10	µs	µs	ADP
ejpam-6336	70	11	−	−	PROPN
ejpam-6336	70	12	β1si	β1si	PUNCT
ejpam-6336	70	13	−	−	PROPN
ejpam-6336	70	14	β2sc	β2sc	PUNCT
ejpam-6336	71	1	+	+	CCONJ
ejpam-6336	71	2	ωr	ωr	PROPN
ejpam-6336	71	3	.	.	PUNCT
ejpam-6336	71	4	s.	s.	PROPN
ejpam-6336	71	5	ahmad	ahmad	PROPN
ejpam-6336	71	6	,	,	PUNCT
ejpam-6336	71	7	n.	n.	PROPN
ejpam-6336	71	8	ahmad	ahmad	PROPN
ejpam-6336	71	9	,	,	PUNCT
ejpam-6336	71	10	i.	i.	PROPN
ejpam-6336	71	11	shah	shah	PROPN
ejpam-6336	71	12	/	/	SYM
ejpam-6336	71	13	eur	eur	PROPN
ejpam-6336	71	14	.	.	PUNCT
ejpam-6336	72	1	j.	j.	PROPN
ejpam-6336	72	2	pure	pure	PROPN
ejpam-6336	72	3	appl	appl	PROPN
ejpam-6336	72	4	.	.	PROPN
ejpam-6336	72	5	math	math	PROPN
ejpam-6336	72	6	,	,	PUNCT
ejpam-6336	72	7	18	18	NUM
ejpam-6336	72	8	(	(	PUNCT
ejpam-6336	72	9	3	3	NUM
ejpam-6336	72	10	)	)	PUNCT
ejpam-6336	72	11	(	(	PUNCT
ejpam-6336	72	12	2025	2025	NUM
ejpam-6336	72	13	)	)	PUNCT
ejpam-6336	72	14	,	,	PUNCT
ejpam-6336	72	15	6336	6336	NUM
ejpam-6336	72	16	7	7	NUM
ejpam-6336	72	17	of	of	ADP
ejpam-6336	72	18	24	24	NUM
ejpam-6336	72	19	if	if	SCONJ
ejpam-6336	72	20	s	s	VERB
ejpam-6336	72	21	=	=	NOUN
ejpam-6336	72	22	0	0	NUM
ejpam-6336	72	23	at	at	ADP
ejpam-6336	72	24	some	some	DET
ejpam-6336	72	25	t∗	t∗	NOUN
ejpam-6336	72	26	,	,	PUNCT
ejpam-6336	72	27	then	then	ADV
ejpam-6336	72	28	ds	ds	VERB
ejpam-6336	72	29	dt	dt	NOUN
ejpam-6336	72	30	=	=	SYM
ejpam-6336	72	31	λ	λ	PROPN
ejpam-6336	72	32	+	+	CCONJ
ejpam-6336	72	33	ωr	ωr	ADP
ejpam-6336	72	34	≥	≥	NOUN
ejpam-6336	72	35	0	0	NUM
ejpam-6336	72	36	,	,	PUNCT
ejpam-6336	72	37	which	which	PRON
ejpam-6336	72	38	contradicts	contradict	VERB
ejpam-6336	72	39	s	s	PRON
ejpam-6336	72	40	becoming	become	VERB
ejpam-6336	72	41	negative	negative	ADJ
ejpam-6336	72	42	.	.	PUNCT
ejpam-6336	73	1	thus	thus	ADV
ejpam-6336	73	2	,	,	PUNCT
ejpam-6336	73	3	s(t	s(t	PROPN
ejpam-6336	73	4	)	)	PUNCT
ejpam-6336	73	5	≥	≥	NOUN
ejpam-6336	73	6	0	0	NUM
ejpam-6336	73	7	for	for	ADP
ejpam-6336	73	8	all	all	DET
ejpam-6336	73	9	t	t	PROPN
ejpam-6336	73	10	≥	≥	NOUN
ejpam-6336	73	11	0	0	NUM
ejpam-6336	73	12	.	.	PUNCT
ejpam-6336	74	1	a	a	DET
ejpam-6336	74	2	similar	similar	ADJ
ejpam-6336	74	3	argument	argument	NOUN
ejpam-6336	74	4	holds	hold	VERB
ejpam-6336	74	5	for	for	ADP
ejpam-6336	74	6	other	other	ADJ
ejpam-6336	74	7	compartments	compartment	NOUN
ejpam-6336	74	8	.	.	PUNCT
ejpam-6336	75	1	for	for	ADP
ejpam-6336	75	2	boundedness	boundedness	NOUN
ejpam-6336	75	3	,	,	PUNCT
ejpam-6336	75	4	summing	sum	VERB
ejpam-6336	75	5	all	all	DET
ejpam-6336	75	6	equations	equation	NOUN
ejpam-6336	75	7	except	except	SCONJ
ejpam-6336	75	8	a(t	a(t	PROPN
ejpam-6336	75	9	)	)	PUNCT
ejpam-6336	75	10	,	,	PUNCT
ejpam-6336	75	11	we	we	PRON
ejpam-6336	75	12	obtain	obtain	VERB
ejpam-6336	75	13	:	:	PUNCT
ejpam-6336	76	1	dn	dn	NOUN
ejpam-6336	76	2	dt	dt	NOUN
ejpam-6336	77	1	=	=	PUNCT
ejpam-6336	77	2	λ−	λ−	PROPN
ejpam-6336	77	3	µn	µn	PROPN
ejpam-6336	77	4	−	−	PROPN
ejpam-6336	77	5	ηd	ηd	PROPN
ejpam-6336	77	6	.	.	PUNCT
ejpam-6336	78	1	since	since	SCONJ
ejpam-6336	78	2	ηd	ηd	DET
ejpam-6336	78	3	≥	≥	NOUN
ejpam-6336	78	4	0	0	NUM
ejpam-6336	78	5	,	,	PUNCT
ejpam-6336	78	6	we	we	PRON
ejpam-6336	78	7	have	have	VERB
ejpam-6336	78	8	dn	dn	NOUN
ejpam-6336	78	9	dt	dt	NOUN
ejpam-6336	78	10	≤	≤	PROPN
ejpam-6336	78	11	λ−	λ−	PROPN
ejpam-6336	78	12	µn	µn	PROPN
ejpam-6336	78	13	.	.	PUNCT
ejpam-6336	78	14	applying	apply	VERB
ejpam-6336	78	15	gronwall	gronwall	ADJ
ejpam-6336	78	16	’s	’s	PART
ejpam-6336	78	17	inequality	inequality	NOUN
ejpam-6336	78	18	,	,	PUNCT
ejpam-6336	78	19	we	we	PRON
ejpam-6336	78	20	get	get	VERB
ejpam-6336	78	21	n(t	n(t	NOUN
ejpam-6336	78	22	)	)	PUNCT
ejpam-6336	78	23	≤	≤	PUNCT
ejpam-6336	78	24	λ	λ	PROPN
ejpam-6336	78	25	µ	µ	X
ejpam-6336	78	26	+	+	CCONJ
ejpam-6336	78	27	(	(	PUNCT
ejpam-6336	78	28	n(0)−	n(0)−	PROPN
ejpam-6336	78	29	λ	λ	PROPN
ejpam-6336	78	30	µ	µ	X
ejpam-6336	78	31	)	)	PUNCT
ejpam-6336	78	32	e−µt	e−µt	PROPN
ejpam-6336	78	33	.	.	PUNCT
ejpam-6336	79	1	taking	take	VERB
ejpam-6336	79	2	the	the	DET
ejpam-6336	79	3	limit	limit	NOUN
ejpam-6336	79	4	as	as	ADP
ejpam-6336	79	5	t	t	PROPN
ejpam-6336	79	6	→	→	SYM
ejpam-6336	79	7	∞	∞	PROPN
ejpam-6336	79	8	,	,	PUNCT
ejpam-6336	79	9	we	we	PRON
ejpam-6336	79	10	conclude	conclude	VERB
ejpam-6336	79	11	that	that	SCONJ
ejpam-6336	79	12	n	n	NOUN
ejpam-6336	79	13	≤	≤	X
ejpam-6336	79	14	λ	λ	PROPN
ejpam-6336	79	15	µ	µ	X
ejpam-6336	79	16	.	.	PUNCT
ejpam-6336	80	1	thus	thus	ADV
ejpam-6336	80	2	,	,	PUNCT
ejpam-6336	80	3	the	the	DET
ejpam-6336	80	4	region	region	NOUN
ejpam-6336	80	5	ω(virus	ω(virus	NOUN
ejpam-6336	80	6	transmission	transmission	NOUN
ejpam-6336	80	7	model	model	NOUN
ejpam-6336	80	8	)	)	PUNCT
ejpam-6336	80	9	is	be	AUX
ejpam-6336	80	10	positively	positively	ADV
ejpam-6336	80	11	invariant	invariant	ADJ
ejpam-6336	80	12	,	,	PUNCT
ejpam-6336	80	13	ensuring	ensure	VERB
ejpam-6336	80	14	that	that	SCONJ
ejpam-6336	80	15	all	all	DET
ejpam-6336	80	16	solutions	solution	NOUN
ejpam-6336	80	17	remain	remain	VERB
ejpam-6336	80	18	biologically	biologically	ADV
ejpam-6336	80	19	feasible	feasible	ADJ
ejpam-6336	80	20	.	.	PUNCT
ejpam-6336	81	1	4	4	X
ejpam-6336	81	2	.	.	X
ejpam-6336	81	3	virus	virus	NOUN
ejpam-6336	81	4	-	-	PUNCT
ejpam-6336	81	5	free	free	ADJ
ejpam-6336	81	6	equilibrium	equilibrium	NOUN
ejpam-6336	81	7	(	(	PUNCT
ejpam-6336	81	8	vfe	vfe	NOUN
ejpam-6336	81	9	)	)	PUNCT
ejpam-6336	81	10	the	the	DET
ejpam-6336	81	11	virus	virus	NOUN
ejpam-6336	81	12	-	-	PUNCT
ejpam-6336	81	13	free	free	ADJ
ejpam-6336	81	14	equilibrium	equilibrium	NOUN
ejpam-6336	81	15	(	(	PUNCT
ejpam-6336	81	16	e0	e0	PROPN
ejpam-6336	81	17	)	)	PUNCT
ejpam-6336	81	18	occurs	occur	VERB
ejpam-6336	81	19	when	when	SCONJ
ejpam-6336	81	20	no	no	DET
ejpam-6336	81	21	infection	infection	NOUN
ejpam-6336	81	22	exists	exist	VERB
ejpam-6336	81	23	in	in	ADP
ejpam-6336	81	24	the	the	DET
ejpam-6336	81	25	system	system	NOUN
ejpam-6336	81	26	,	,	PUNCT
ejpam-6336	81	27	i.e.	i.e.	X
ejpam-6336	81	28	,	,	PUNCT
ejpam-6336	81	29	e∗	e∗	NOUN
ejpam-6336	81	30	=	=	SYM
ejpam-6336	81	31	i∗	i∗	NOUN
ejpam-6336	81	32	=	=	SYM
ejpam-6336	81	33	c∗	c∗	NOUN
ejpam-6336	81	34	=	=	PUNCT
ejpam-6336	81	35	r∗	r∗	PROPN
ejpam-6336	81	36	=	=	SYM
ejpam-6336	81	37	p	p	NOUN
ejpam-6336	81	38	∗	∗	NOUN
ejpam-6336	81	39	=	=	SYM
ejpam-6336	81	40	d∗	d∗	PROPN
ejpam-6336	81	41	=	=	SYM
ejpam-6336	81	42	a∗	a∗	NOUN
ejpam-6336	81	43	=	=	SYM
ejpam-6336	81	44	0	0	X
ejpam-6336	81	45	.	.	PUNCT
ejpam-6336	82	1	setting	set	VERB
ejpam-6336	82	2	all	all	DET
ejpam-6336	82	3	derivatives	derivative	NOUN
ejpam-6336	82	4	to	to	ADP
ejpam-6336	82	5	zero	zero	NUM
ejpam-6336	82	6	,	,	PUNCT
ejpam-6336	82	7	we	we	PRON
ejpam-6336	82	8	obtain	obtain	VERB
ejpam-6336	82	9	:	:	PUNCT
ejpam-6336	82	10	s∗	s∗	PROPN
ejpam-6336	82	11	=	=	SYM
ejpam-6336	82	12	λ	λ	X
ejpam-6336	82	13	µ	µ	X
ejpam-6336	82	14	,	,	PUNCT
ejpam-6336	82	15	e∗	e∗	NOUN
ejpam-6336	82	16	=	=	SYM
ejpam-6336	82	17	i∗	i∗	NOUN
ejpam-6336	82	18	=	=	SYM
ejpam-6336	82	19	c∗	c∗	NOUN
ejpam-6336	82	20	=	=	PUNCT
ejpam-6336	82	21	r∗	r∗	PROPN
ejpam-6336	83	1	=	=	SYM
ejpam-6336	83	2	p	p	NOUN
ejpam-6336	83	3	∗	∗	NOUN
ejpam-6336	83	4	=	=	SYM
ejpam-6336	83	5	d∗	d∗	PROPN
ejpam-6336	83	6	=	=	SYM
ejpam-6336	83	7	a∗	a∗	NOUN
ejpam-6336	83	8	=	=	SYM
ejpam-6336	83	9	0	0	NUM
ejpam-6336	83	10	.	.	PUNCT
ejpam-6336	84	1	thus	thus	ADV
ejpam-6336	84	2	,	,	PUNCT
ejpam-6336	84	3	the	the	DET
ejpam-6336	84	4	virus	virus	NOUN
ejpam-6336	84	5	-	-	PUNCT
ejpam-6336	84	6	free	free	ADJ
ejpam-6336	84	7	equilibrium	equilibrium	NOUN
ejpam-6336	84	8	is	be	AUX
ejpam-6336	84	9	:	:	PUNCT
ejpam-6336	84	10	e0	e0	PROPN
ejpam-6336	84	11	=	=	PUNCT
ejpam-6336	84	12	(	(	PUNCT
ejpam-6336	84	13	λ	λ	X
ejpam-6336	84	14	µ	µ	X
ejpam-6336	84	15	,	,	PUNCT
ejpam-6336	84	16	0	0	NUM
ejpam-6336	84	17	,	,	PUNCT
ejpam-6336	84	18	0	0	NUM
ejpam-6336	84	19	,	,	PUNCT
ejpam-6336	84	20	0	0	NUM
ejpam-6336	84	21	,	,	PUNCT
ejpam-6336	84	22	0	0	NUM
ejpam-6336	84	23	,	,	PUNCT
ejpam-6336	84	24	0	0	NUM
ejpam-6336	84	25	,	,	PUNCT
ejpam-6336	84	26	0	0	NUM
ejpam-6336	84	27	,	,	PUNCT
ejpam-6336	84	28	0	0	NUM
ejpam-6336	84	29	)	)	PUNCT
ejpam-6336	84	30	.	.	PUNCT
ejpam-6336	85	1	(	(	PUNCT
ejpam-6336	85	2	3	3	X
ejpam-6336	85	3	)	)	PUNCT
ejpam-6336	85	4	this	this	DET
ejpam-6336	85	5	equilibrium	equilibrium	NOUN
ejpam-6336	85	6	represents	represent	VERB
ejpam-6336	85	7	a	a	DET
ejpam-6336	85	8	malware	malware	NOUN
ejpam-6336	85	9	-	-	PUNCT
ejpam-6336	85	10	free	free	ADJ
ejpam-6336	85	11	network	network	NOUN
ejpam-6336	85	12	state	state	NOUN
ejpam-6336	85	13	,	,	PUNCT
ejpam-6336	85	14	serving	serve	VERB
ejpam-6336	85	15	as	as	ADP
ejpam-6336	85	16	a	a	DET
ejpam-6336	85	17	foundation	foundation	NOUN
ejpam-6336	85	18	for	for	ADP
ejpam-6336	85	19	stability	stability	NOUN
ejpam-6336	85	20	analysis	analysis	NOUN
ejpam-6336	85	21	.	.	PUNCT
ejpam-6336	86	1	s.	s.	PROPN
ejpam-6336	86	2	ahmad	ahmad	PROPN
ejpam-6336	86	3	,	,	PUNCT
ejpam-6336	86	4	n.	n.	PROPN
ejpam-6336	86	5	ahmad	ahmad	PROPN
ejpam-6336	86	6	,	,	PUNCT
ejpam-6336	86	7	i.	i.	PROPN
ejpam-6336	86	8	shah	shah	PROPN
ejpam-6336	86	9	/	/	SYM
ejpam-6336	86	10	eur	eur	PROPN
ejpam-6336	86	11	.	.	PUNCT
ejpam-6336	87	1	j.	j.	PROPN
ejpam-6336	87	2	pure	pure	PROPN
ejpam-6336	87	3	appl	appl	PROPN
ejpam-6336	87	4	.	.	PROPN
ejpam-6336	87	5	math	math	PROPN
ejpam-6336	87	6	,	,	PUNCT
ejpam-6336	87	7	18	18	NUM
ejpam-6336	87	8	(	(	PUNCT
ejpam-6336	87	9	3	3	NUM
ejpam-6336	87	10	)	)	PUNCT
ejpam-6336	87	11	(	(	PUNCT
ejpam-6336	87	12	2025	2025	NUM
ejpam-6336	87	13	)	)	PUNCT
ejpam-6336	87	14	,	,	PUNCT
ejpam-6336	87	15	6336	6336	NUM
ejpam-6336	87	16	8	8	NUM
ejpam-6336	87	17	of	of	ADP
ejpam-6336	87	18	24	24	NUM
ejpam-6336	87	19	5	5	NUM
ejpam-6336	87	20	.	.	PUNCT
ejpam-6336	87	21	0	0	NUM
ejpam-6336	87	22	0	0	NUM
ejpam-6336	88	1	0.2	0.2	NUM
ejpam-6336	88	2	0.6	0.6	NUM
ejpam-6336	88	3	0.4	0.4	NUM
ejpam-6336	88	4	0.6	0.6	NUM
ejpam-6336	88	5	r	r	NOUN
ejpam-6336	88	6	e	e	NOUN
ejpam-6336	88	7	co	co	X
ejpam-6336	88	8	ve	ve	AUX
ejpam-6336	88	9	re	re	VERB
ejpam-6336	88	10	d	d	X
ejpam-6336	88	11	(	(	PUNCT
ejpam-6336	88	12	r	r	NOUN
ejpam-6336	88	13	)	)	PUNCT
ejpam-6336	88	14	state	state	NOUN
ejpam-6336	88	15	-	-	PUNCT
ejpam-6336	88	16	space	space	NOUN
ejpam-6336	88	17	trajectory	trajectory	NOUN
ejpam-6336	88	18	:	:	PUNCT
ejpam-6336	88	19	virus	virus	NOUN
ejpam-6336	88	20	-	-	PUNCT
ejpam-6336	88	21	free	free	ADJ
ejpam-6336	88	22	equilibrium	equilibrium	NOUN
ejpam-6336	88	23	0.8	0.8	NUM
ejpam-6336	88	24	0.4	0.4	NUM
ejpam-6336	88	25	susceptible	susceptible	ADJ
ejpam-6336	88	26	(	(	PUNCT
ejpam-6336	88	27	s	s	NOUN
ejpam-6336	88	28	)	)	PUNCT
ejpam-6336	88	29	1	1	NUM
ejpam-6336	88	30	infected	infect	VERB
ejpam-6336	88	31	(	(	PUNCT
ejpam-6336	88	32	i	i	NOUN
ejpam-6336	88	33	)	)	PUNCT
ejpam-6336	88	34	0.5	0.5	NUM
ejpam-6336	88	35	1.2	1.2	NUM
ejpam-6336	88	36	0.2	0.2	NUM
ejpam-6336	88	37	1	1	NUM
ejpam-6336	88	38	0	0	NUM
ejpam-6336	88	39	trajectory	trajectory	NOUN
ejpam-6336	88	40	virus	virus	NOUN
ejpam-6336	88	41	-	-	PUNCT
ejpam-6336	88	42	free	free	ADJ
ejpam-6336	88	43	equilibrium	equilibrium	NOUN
ejpam-6336	88	44	figure	figure	NOUN
ejpam-6336	88	45	2	2	NUM
ejpam-6336	88	46	:	:	PUNCT
ejpam-6336	88	47	state	state	NOUN
ejpam-6336	88	48	-	-	PUNCT
ejpam-6336	88	49	space	space	NOUN
ejpam-6336	88	50	trajectory	trajectory	NOUN
ejpam-6336	88	51	of	of	ADP
ejpam-6336	88	52	virus	virus	NOUN
ejpam-6336	88	53	-	-	PUNCT
ejpam-6336	88	54	free	free	ADJ
ejpam-6336	88	55	equilibrium	equilibrium	NOUN
ejpam-6336	88	56	the	the	DET
ejpam-6336	88	57	figure	figure	NOUN
ejpam-6336	88	58	(	(	PUNCT
ejpam-6336	88	59	2	2	NUM
ejpam-6336	88	60	)	)	PUNCT
ejpam-6336	88	61	illustrates	illustrate	VERB
ejpam-6336	88	62	the	the	DET
ejpam-6336	88	63	state	state	NOUN
ejpam-6336	88	64	-	-	PUNCT
ejpam-6336	88	65	space	space	NOUN
ejpam-6336	88	66	trajectory	trajectory	NOUN
ejpam-6336	88	67	of	of	ADP
ejpam-6336	88	68	the	the	DET
ejpam-6336	88	69	cybersecurity	cybersecurity	NOUN
ejpam-6336	88	70	epidemic	epidemic	NOUN
ejpam-6336	88	71	model	model	NOUN
ejpam-6336	88	72	in	in	ADP
ejpam-6336	88	73	the	the	DET
ejpam-6336	88	74	(	(	PUNCT
ejpam-6336	88	75	s	s	PROPN
ejpam-6336	88	76	,	,	PUNCT
ejpam-6336	88	77	i	i	NOUN
ejpam-6336	88	78	)	)	PUNCT
ejpam-6336	88	79	space	space	NOUN
ejpam-6336	88	80	.	.	PUNCT
ejpam-6336	89	1	the	the	DET
ejpam-6336	89	2	system	system	NOUN
ejpam-6336	89	3	dynamics	dynamic	NOUN
ejpam-6336	89	4	evolve	evolve	VERB
ejpam-6336	89	5	over	over	ADP
ejpam-6336	89	6	time	time	NOUN
ejpam-6336	89	7	based	base	VERB
ejpam-6336	89	8	on	on	ADP
ejpam-6336	89	9	the	the	DET
ejpam-6336	89	10	given	give	VERB
ejpam-6336	89	11	set	set	NOUN
ejpam-6336	89	12	of	of	ADP
ejpam-6336	89	13	differential	differential	ADJ
ejpam-6336	89	14	equations	equation	NOUN
ejpam-6336	89	15	,	,	PUNCT
ejpam-6336	89	16	demonstrating	demonstrate	VERB
ejpam-6336	89	17	the	the	DET
ejpam-6336	89	18	transition	transition	NOUN
ejpam-6336	89	19	of	of	ADP
ejpam-6336	89	20	devices	device	NOUN
ejpam-6336	89	21	across	across	ADP
ejpam-6336	89	22	different	different	ADJ
ejpam-6336	89	23	states	state	NOUN
ejpam-6336	89	24	.	.	PUNCT
ejpam-6336	90	1	the	the	DET
ejpam-6336	90	2	trajectory	trajectory	NOUN
ejpam-6336	90	3	provides	provide	VERB
ejpam-6336	90	4	insight	insight	NOUN
ejpam-6336	90	5	into	into	ADP
ejpam-6336	90	6	the	the	DET
ejpam-6336	90	7	stability	stability	NOUN
ejpam-6336	90	8	of	of	ADP
ejpam-6336	90	9	the	the	DET
ejpam-6336	90	10	virus	virus	NOUN
ejpam-6336	90	11	-	-	PUNCT
ejpam-6336	90	12	free	free	ADJ
ejpam-6336	90	13	equilibrium	equilibrium	NOUN
ejpam-6336	90	14	(	(	PUNCT
ejpam-6336	90	15	vfe	vfe	NOUN
ejpam-6336	90	16	)	)	PUNCT
ejpam-6336	90	17	under	under	ADP
ejpam-6336	90	18	the	the	DET
ejpam-6336	90	19	defined	define	VERB
ejpam-6336	90	20	parameter	parameter	NOUN
ejpam-6336	90	21	values	value	NOUN
ejpam-6336	90	22	.	.	PUNCT
ejpam-6336	91	1	the	the	DET
ejpam-6336	91	2	simulation	simulation	NOUN
ejpam-6336	91	3	begins	begin	VERB
ejpam-6336	91	4	with	with	ADP
ejpam-6336	91	5	initial	initial	ADJ
ejpam-6336	91	6	conditions	condition	NOUN
ejpam-6336	91	7	s(0	s(0	PROPN
ejpam-6336	91	8	)	)	PUNCT
ejpam-6336	91	9	=	=	SYM
ejpam-6336	91	10	1	1	NUM
ejpam-6336	91	11	,	,	PUNCT
ejpam-6336	91	12	e(0	e(0	NOUN
ejpam-6336	91	13	)	)	PUNCT
ejpam-6336	91	14	=	=	SYM
ejpam-6336	91	15	40	40	NUM
ejpam-6336	91	16	,	,	PUNCT
ejpam-6336	91	17	i(0	i(0	PROPN
ejpam-6336	91	18	)	)	PUNCT
ejpam-6336	91	19	=	=	SYM
ejpam-6336	91	20	0	0	NUM
ejpam-6336	91	21	,	,	PUNCT
ejpam-6336	91	22	c(0	c(0	NOUN
ejpam-6336	91	23	)	)	PUNCT
ejpam-6336	91	24	=	=	SYM
ejpam-6336	91	25	0	0	NUM
ejpam-6336	91	26	,	,	PUNCT
ejpam-6336	91	27	p	p	X
ejpam-6336	91	28	(	(	PUNCT
ejpam-6336	91	29	0	0	NUM
ejpam-6336	91	30	)	)	PUNCT
ejpam-6336	91	31	=	=	SYM
ejpam-6336	91	32	0	0	NUM
ejpam-6336	91	33	,	,	PUNCT
ejpam-6336	91	34	d(0	d(0	NOUN
ejpam-6336	91	35	)	)	PUNCT
ejpam-6336	91	36	=	=	SYM
ejpam-6336	92	1	0	0	NUM
ejpam-6336	92	2	,	,	PUNCT
ejpam-6336	92	3	a(0	a(0	PROPN
ejpam-6336	92	4	)	)	PUNCT
ejpam-6336	92	5	=	=	NUM
ejpam-6336	92	6	6000	6000	NUM
ejpam-6336	92	7	.	.	PUNCT
ejpam-6336	93	1	initially	initially	ADV
ejpam-6336	93	2	,	,	PUNCT
ejpam-6336	93	3	the	the	DET
ejpam-6336	93	4	system	system	NOUN
ejpam-6336	93	5	contains	contain	VERB
ejpam-6336	93	6	a	a	DET
ejpam-6336	93	7	high	high	ADJ
ejpam-6336	93	8	number	number	NOUN
ejpam-6336	93	9	of	of	ADP
ejpam-6336	93	10	exposed	expose	VERB
ejpam-6336	93	11	devices	device	NOUN
ejpam-6336	93	12	while	while	SCONJ
ejpam-6336	93	13	no	no	DET
ejpam-6336	93	14	infections	infection	NOUN
ejpam-6336	93	15	are	be	AUX
ejpam-6336	93	16	present	present	ADJ
ejpam-6336	93	17	.	.	PUNCT
ejpam-6336	94	1	due	due	ADP
ejpam-6336	94	2	to	to	ADP
ejpam-6336	94	3	the	the	DET
ejpam-6336	94	4	infection	infection	NOUN
ejpam-6336	94	5	rates	rate	NOUN
ejpam-6336	94	6	β1	β1	PROPN
ejpam-6336	94	7	=	=	SYM
ejpam-6336	94	8	2	2	NUM
ejpam-6336	94	9	(	(	PUNCT
ejpam-6336	94	10	direct	direct	ADJ
ejpam-6336	94	11	infection	infection	NOUN
ejpam-6336	94	12	)	)	PUNCT
ejpam-6336	94	13	and	and	CCONJ
ejpam-6336	94	14	β2	β2	NOUN
ejpam-6336	94	15	=	=	NOUN
ejpam-6336	94	16	0.03	0.03	NUM
ejpam-6336	94	17	(	(	PUNCT
ejpam-6336	94	18	botnet	botnet	NOUN
ejpam-6336	94	19	attacks	attack	NOUN
ejpam-6336	94	20	)	)	PUNCT
ejpam-6336	94	21	,	,	PUNCT
ejpam-6336	94	22	susceptible	susceptible	ADJ
ejpam-6336	94	23	devices	device	NOUN
ejpam-6336	94	24	transition	transition	NOUN
ejpam-6336	94	25	into	into	ADP
ejpam-6336	94	26	the	the	DET
ejpam-6336	94	27	exposed	expose	VERB
ejpam-6336	94	28	and	and	CCONJ
ejpam-6336	94	29	infected	infected	ADJ
ejpam-6336	94	30	classes	class	NOUN
ejpam-6336	94	31	.	.	PUNCT
ejpam-6336	95	1	the	the	DET
ejpam-6336	95	2	rate	rate	NOUN
ejpam-6336	95	3	of	of	ADP
ejpam-6336	95	4	transition	transition	NOUN
ejpam-6336	95	5	from	from	ADP
ejpam-6336	95	6	exposed	expose	VERB
ejpam-6336	95	7	to	to	ADP
ejpam-6336	95	8	infected	infected	ADJ
ejpam-6336	95	9	is	be	AUX
ejpam-6336	95	10	α	α	NOUN
ejpam-6336	95	11	=	=	NOUN
ejpam-6336	95	12	0.001	0.001	NUM
ejpam-6336	95	13	,	,	PUNCT
ejpam-6336	95	14	and	and	CCONJ
ejpam-6336	95	15	infected	infected	ADJ
ejpam-6336	95	16	devices	device	NOUN
ejpam-6336	95	17	may	may	AUX
ejpam-6336	95	18	recover	recover	VERB
ejpam-6336	95	19	at	at	ADP
ejpam-6336	95	20	a	a	DET
ejpam-6336	95	21	rate	rate	NOUN
ejpam-6336	95	22	γ	γ	X
ejpam-6336	95	23	=	=	NOUN
ejpam-6336	95	24	0.05	0.05	NUM
ejpam-6336	95	25	or	or	CCONJ
ejpam-6336	95	26	suffer	suffer	VERB
ejpam-6336	95	27	permanent	permanent	ADJ
ejpam-6336	95	28	damage	damage	NOUN
ejpam-6336	95	29	at	at	ADP
ejpam-6336	95	30	a	a	DET
ejpam-6336	95	31	rate	rate	NOUN
ejpam-6336	95	32	δ	δ	NOUN
ejpam-6336	95	33	=	=	NOUN
ejpam-6336	95	34	0.02	0.02	NUM
ejpam-6336	95	35	.	.	PUNCT
ejpam-6336	96	1	the	the	DET
ejpam-6336	96	2	system	system	NOUN
ejpam-6336	96	3	also	also	ADV
ejpam-6336	96	4	accounts	account	VERB
ejpam-6336	96	5	for	for	ADP
ejpam-6336	96	6	the	the	DET
ejpam-6336	96	7	natural	natural	ADJ
ejpam-6336	96	8	removal	removal	NOUN
ejpam-6336	96	9	rate	rate	NOUN
ejpam-6336	96	10	µ	µ	X
ejpam-6336	96	11	=	=	SYM
ejpam-6336	96	12	0.02	0.02	NUM
ejpam-6336	96	13	,	,	PUNCT
ejpam-6336	96	14	influencing	influence	VERB
ejpam-6336	96	15	overall	overall	ADJ
ejpam-6336	96	16	stability	stability	NOUN
ejpam-6336	96	17	.	.	PUNCT
ejpam-6336	97	1	as	as	SCONJ
ejpam-6336	97	2	time	time	NOUN
ejpam-6336	97	3	progresses	progress	VERB
ejpam-6336	97	4	,	,	PUNCT
ejpam-6336	97	5	the	the	DET
ejpam-6336	97	6	influence	influence	NOUN
ejpam-6336	97	7	of	of	ADP
ejpam-6336	97	8	infected	infected	ADJ
ejpam-6336	97	9	nodes	node	NOUN
ejpam-6336	97	10	(	(	PUNCT
ejpam-6336	97	11	i	i	NOUN
ejpam-6336	97	12	)	)	PUNCT
ejpam-6336	97	13	ensures	ensure	VERB
ejpam-6336	97	14	a	a	DET
ejpam-6336	97	15	decline	decline	NOUN
ejpam-6336	97	16	in	in	ADP
ejpam-6336	97	17	the	the	DET
ejpam-6336	97	18	plot	plot	NOUN
ejpam-6336	97	19	due	due	ADP
ejpam-6336	97	20	to	to	ADP
ejpam-6336	97	21	recovery	recovery	NOUN
ejpam-6336	97	22	(	(	PUNCT
ejpam-6336	97	23	r	r	NOUN
ejpam-6336	97	24	)	)	PUNCT
ejpam-6336	97	25	,	,	PUNCT
ejpam-6336	97	26	leading	lead	VERB
ejpam-6336	97	27	to	to	ADP
ejpam-6336	97	28	a	a	DET
ejpam-6336	97	29	virus	virus	NOUN
ejpam-6336	97	30	-	-	PUNCT
ejpam-6336	97	31	free	free	ADJ
ejpam-6336	97	32	equilibrium	equilibrium	NOUN
ejpam-6336	97	33	.	.	PUNCT
ejpam-6336	98	1	the	the	DET
ejpam-6336	98	2	virus	virus	NOUN
ejpam-6336	98	3	-	-	PUNCT
ejpam-6336	98	4	free	free	ADJ
ejpam-6336	98	5	equilibrium	equilibrium	NOUN
ejpam-6336	98	6	(	(	PUNCT
ejpam-6336	98	7	s∗	s∗	PROPN
ejpam-6336	98	8	,	,	PUNCT
ejpam-6336	98	9	i∗	i∗	NOUN
ejpam-6336	98	10	)	)	PUNCT
ejpam-6336	98	11	=	=	PUNCT
ejpam-6336	98	12	(	(	PUNCT
ejpam-6336	98	13	1	1	NUM
ejpam-6336	98	14	,	,	PUNCT
ejpam-6336	98	15	0	0	NUM
ejpam-6336	98	16	)	)	PUNCT
ejpam-6336	98	17	is	be	AUX
ejpam-6336	98	18	achieved	achieve	VERB
ejpam-6336	98	19	asymptotically	asymptotically	ADV
ejpam-6336	98	20	,	,	PUNCT
ejpam-6336	98	21	while	while	SCONJ
ejpam-6336	98	22	r(t	r(t	NOUN
ejpam-6336	98	23	)	)	PUNCT
ejpam-6336	98	24	remains	remain	VERB
ejpam-6336	98	25	s.	s.	PROPN
ejpam-6336	98	26	ahmad	ahmad	PROPN
ejpam-6336	98	27	,	,	PUNCT
ejpam-6336	98	28	n.	n.	PROPN
ejpam-6336	98	29	ahmad	ahmad	PROPN
ejpam-6336	98	30	,	,	PUNCT
ejpam-6336	98	31	i.	i.	PROPN
ejpam-6336	98	32	shah	shah	PROPN
ejpam-6336	98	33	/	/	SYM
ejpam-6336	98	34	eur	eur	PROPN
ejpam-6336	98	35	.	.	PUNCT
ejpam-6336	99	1	j.	j.	PROPN
ejpam-6336	99	2	pure	pure	PROPN
ejpam-6336	99	3	appl	appl	PROPN
ejpam-6336	99	4	.	.	PROPN
ejpam-6336	99	5	math	math	PROPN
ejpam-6336	99	6	,	,	PUNCT
ejpam-6336	99	7	18	18	NUM
ejpam-6336	99	8	(	(	PUNCT
ejpam-6336	99	9	3	3	NUM
ejpam-6336	99	10	)	)	PUNCT
ejpam-6336	99	11	(	(	PUNCT
ejpam-6336	99	12	2025	2025	NUM
ejpam-6336	99	13	)	)	PUNCT
ejpam-6336	99	14	,	,	PUNCT
ejpam-6336	99	15	6336	6336	NUM
ejpam-6336	99	16	9	9	NUM
ejpam-6336	99	17	of	of	ADP
ejpam-6336	99	18	24	24	NUM
ejpam-6336	99	19	non	non	ADJ
ejpam-6336	99	20	-	-	ADJ
ejpam-6336	99	21	zero	zero	NUM
ejpam-6336	99	22	due	due	ADP
ejpam-6336	99	23	to	to	ADP
ejpam-6336	99	24	cumulative	cumulative	ADJ
ejpam-6336	99	25	recoveries	recovery	NOUN
ejpam-6336	99	26	.	.	PUNCT
ejpam-6336	100	1	s∗	s∗	PROPN
ejpam-6336	100	2	=	=	SYM
ejpam-6336	101	1	λ	λ	X
ejpam-6336	101	2	µ	µ	X
ejpam-6336	101	3	=	=	SYM
ejpam-6336	101	4	0.02	0.02	NUM
ejpam-6336	101	5	0.02	0.02	NUM
ejpam-6336	101	6	=	=	SYM
ejpam-6336	101	7	1	1	NUM
ejpam-6336	101	8	.	.	PUNCT
ejpam-6336	102	1	(	(	PUNCT
ejpam-6336	102	2	4	4	NUM
ejpam-6336	102	3	)	)	PUNCT
ejpam-6336	102	4	at	at	ADP
ejpam-6336	102	5	this	this	DET
ejpam-6336	102	6	equilibrium	equilibrium	NOUN
ejpam-6336	102	7	,	,	PUNCT
ejpam-6336	102	8	the	the	DET
ejpam-6336	102	9	infection	infection	NOUN
ejpam-6336	102	10	is	be	AUX
ejpam-6336	102	11	eradicated	eradicate	VERB
ejpam-6336	102	12	,	,	PUNCT
ejpam-6336	102	13	and	and	CCONJ
ejpam-6336	102	14	the	the	DET
ejpam-6336	102	15	system	system	NOUN
ejpam-6336	102	16	stabilizes	stabilize	VERB
ejpam-6336	102	17	at	at	ADP
ejpam-6336	102	18	(	(	PUNCT
ejpam-6336	102	19	s∗	s∗	PROPN
ejpam-6336	102	20	,	,	PUNCT
ejpam-6336	102	21	i∗	i∗	NOUN
ejpam-6336	102	22	)	)	PUNCT
ejpam-6336	103	1	=	=	PUNCT
ejpam-6336	103	2	(	(	PUNCT
ejpam-6336	103	3	1	1	NUM
ejpam-6336	103	4	,	,	PUNCT
ejpam-6336	103	5	0	0	NUM
ejpam-6336	103	6	)	)	PUNCT
ejpam-6336	103	7	.	.	PUNCT
ejpam-6336	104	1	the	the	DET
ejpam-6336	104	2	red	red	ADJ
ejpam-6336	104	3	dot	dot	NOUN
ejpam-6336	104	4	in	in	ADP
ejpam-6336	104	5	the	the	DET
ejpam-6336	104	6	figure	figure	NOUN
ejpam-6336	104	7	represents	represent	VERB
ejpam-6336	104	8	this	this	DET
ejpam-6336	104	9	virus	virus	NOUN
ejpam-6336	104	10	-	-	PUNCT
ejpam-6336	104	11	free	free	ADJ
ejpam-6336	104	12	equilibrium	equilibrium	NOUN
ejpam-6336	104	13	.	.	PUNCT
ejpam-6336	105	1	the	the	DET
ejpam-6336	105	2	trajectory	trajectory	NOUN
ejpam-6336	105	3	demonstrates	demonstrate	VERB
ejpam-6336	105	4	asymptotic	asymptotic	ADJ
ejpam-6336	105	5	stability	stability	NOUN
ejpam-6336	105	6	,	,	PUNCT
ejpam-6336	105	7	meaning	mean	VERB
ejpam-6336	105	8	that	that	SCONJ
ejpam-6336	105	9	any	any	DET
ejpam-6336	105	10	small	small	ADJ
ejpam-6336	105	11	perturbations	perturbation	NOUN
ejpam-6336	105	12	in	in	ADP
ejpam-6336	105	13	the	the	DET
ejpam-6336	105	14	system	system	NOUN
ejpam-6336	105	15	will	will	AUX
ejpam-6336	105	16	decay	decay	VERB
ejpam-6336	105	17	over	over	ADP
ejpam-6336	105	18	time	time	NOUN
ejpam-6336	105	19	,	,	PUNCT
ejpam-6336	105	20	eventually	eventually	ADV
ejpam-6336	105	21	returning	return	VERB
ejpam-6336	105	22	to	to	ADP
ejpam-6336	105	23	the	the	DET
ejpam-6336	105	24	virus	virus	NOUN
ejpam-6336	105	25	-	-	PUNCT
ejpam-6336	105	26	free	free	ADJ
ejpam-6336	105	27	state	state	NOUN
ejpam-6336	105	28	.	.	PUNCT
ejpam-6336	106	1	the	the	DET
ejpam-6336	106	2	decline	decline	NOUN
ejpam-6336	106	3	in	in	ADP
ejpam-6336	106	4	i	i	PRON
ejpam-6336	106	5	confirms	confirm	VERB
ejpam-6336	106	6	that	that	SCONJ
ejpam-6336	106	7	the	the	DET
ejpam-6336	106	8	basic	basic	ADJ
ejpam-6336	106	9	reproduction	reproduction	NOUN
ejpam-6336	106	10	number	number	NOUN
ejpam-6336	106	11	satisfies	satisfy	VERB
ejpam-6336	106	12	r0	r0	VERB
ejpam-6336	106	13	<	<	X
ejpam-6336	106	14	1	1	NUM
ejpam-6336	106	15	,	,	PUNCT
ejpam-6336	106	16	ensuring	ensure	VERB
ejpam-6336	106	17	the	the	DET
ejpam-6336	106	18	successful	successful	ADJ
ejpam-6336	106	19	containment	containment	NOUN
ejpam-6336	106	20	of	of	ADP
ejpam-6336	106	21	the	the	DET
ejpam-6336	106	22	infection	infection	NOUN
ejpam-6336	106	23	.	.	PUNCT
ejpam-6336	107	1	this	this	DET
ejpam-6336	107	2	behavior	behavior	NOUN
ejpam-6336	107	3	is	be	AUX
ejpam-6336	107	4	significant	significant	ADJ
ejpam-6336	107	5	in	in	ADP
ejpam-6336	107	6	cybersecurity	cybersecurity	NOUN
ejpam-6336	107	7	models	model	NOUN
ejpam-6336	107	8	,	,	PUNCT
ejpam-6336	107	9	as	as	SCONJ
ejpam-6336	107	10	it	it	PRON
ejpam-6336	107	11	highlights	highlight	VERB
ejpam-6336	107	12	the	the	DET
ejpam-6336	107	13	effectiveness	effectiveness	NOUN
ejpam-6336	107	14	of	of	ADP
ejpam-6336	107	15	control	control	NOUN
ejpam-6336	107	16	strategies	strategy	NOUN
ejpam-6336	107	17	in	in	ADP
ejpam-6336	107	18	mitigating	mitigate	VERB
ejpam-6336	107	19	long	long	ADJ
ejpam-6336	107	20	-	-	PUNCT
ejpam-6336	107	21	term	term	NOUN
ejpam-6336	107	22	risks	risk	NOUN
ejpam-6336	107	23	associated	associate	VERB
ejpam-6336	107	24	with	with	ADP
ejpam-6336	107	25	cyber	cyber	PROPN
ejpam-6336	107	26	threats	threat	NOUN
ejpam-6336	107	27	.	.	PUNCT
ejpam-6336	108	1	6	6	NUM
ejpam-6336	108	2	.	.	X
ejpam-6336	108	3	endemic	endemic	ADJ
ejpam-6336	108	4	equilibrium	equilibrium	NOUN
ejpam-6336	108	5	analysis	analysis	NOUN
ejpam-6336	108	6	the	the	DET
ejpam-6336	108	7	endemic	endemic	ADJ
ejpam-6336	108	8	equilibrium	equilibrium	NOUN
ejpam-6336	108	9	(	(	PUNCT
ejpam-6336	108	10	e∗	e∗	NOUN
ejpam-6336	108	11	)	)	PUNCT
ejpam-6336	108	12	of	of	ADP
ejpam-6336	108	13	the	the	DET
ejpam-6336	108	14	cyberattack	cyberattack	NOUN
ejpam-6336	108	15	propagation	propagation	NOUN
ejpam-6336	108	16	model	model	NOUN
ejpam-6336	108	17	corresponds	correspond	VERB
ejpam-6336	108	18	to	to	ADP
ejpam-6336	108	19	a	a	DET
ejpam-6336	108	20	persistent	persistent	ADJ
ejpam-6336	108	21	malware	malware	NOUN
ejpam-6336	108	22	-	-	PUNCT
ejpam-6336	108	23	infected	infect	VERB
ejpam-6336	108	24	state	state	NOUN
ejpam-6336	108	25	where	where	SCONJ
ejpam-6336	108	26	the	the	DET
ejpam-6336	108	27	number	number	NOUN
ejpam-6336	108	28	of	of	ADP
ejpam-6336	108	29	infected	infected	ADJ
ejpam-6336	108	30	nodes	node	NOUN
ejpam-6336	108	31	remains	remain	VERB
ejpam-6336	108	32	nonzero	nonzero	ADJ
ejpam-6336	108	33	.	.	PUNCT
ejpam-6336	109	1	mathematically	mathematically	ADV
ejpam-6336	109	2	,	,	PUNCT
ejpam-6336	109	3	the	the	DET
ejpam-6336	109	4	equilibrium	equilibrium	NOUN
ejpam-6336	109	5	is	be	AUX
ejpam-6336	109	6	given	give	VERB
ejpam-6336	109	7	by	by	ADP
ejpam-6336	109	8	:	:	PUNCT
ejpam-6336	109	9	e∗	e∗	PROPN
ejpam-6336	109	10	=	=	SYM
ejpam-6336	109	11	(	(	PUNCT
ejpam-6336	109	12	s∗	s∗	PROPN
ejpam-6336	109	13	,	,	PUNCT
ejpam-6336	109	14	e∗	e∗	NOUN
ejpam-6336	109	15	,	,	PUNCT
ejpam-6336	109	16	i∗	i∗	NOUN
ejpam-6336	109	17	,	,	PUNCT
ejpam-6336	109	18	c∗	c∗	PROPN
ejpam-6336	109	19	,	,	PUNCT
ejpam-6336	109	20	r∗	r∗	PROPN
ejpam-6336	109	21	,	,	PUNCT
ejpam-6336	109	22	p	p	NOUN
ejpam-6336	109	23	∗	∗	NOUN
ejpam-6336	109	24	,	,	PUNCT
ejpam-6336	109	25	d∗	d∗	PROPN
ejpam-6336	109	26	,	,	PUNCT
ejpam-6336	109	27	a∗	a∗	NOUN
ejpam-6336	109	28	)	)	PUNCT
ejpam-6336	109	29	,	,	PUNCT
ejpam-6336	109	30	solving	solve	VERB
ejpam-6336	109	31	the	the	DET
ejpam-6336	109	32	system	system	NOUN
ejpam-6336	109	33	(	(	PUNCT
ejpam-6336	109	34	1	1	NUM
ejpam-6336	109	35	)	)	PUNCT
ejpam-6336	109	36	,	,	PUNCT
ejpam-6336	109	37	we	we	PRON
ejpam-6336	109	38	obtain	obtain	VERB
ejpam-6336	109	39	:	:	PUNCT
ejpam-6336	109	40	s∗	s∗	PROPN
ejpam-6336	109	41	=	=	SYM
ejpam-6336	109	42	λ	λ	PROPN
ejpam-6336	109	43	µ+	µ+	PUNCT
ejpam-6336	109	44	β1i∗	β1i∗	NOUN
ejpam-6336	110	1	+	+	X
ejpam-6336	110	2	β2c∗	β2c∗	NOUN
ejpam-6336	110	3	,	,	PUNCT
ejpam-6336	110	4	e	e	NOUN
ejpam-6336	110	5	∗	∗	NOUN
ejpam-6336	110	6	=	=	PUNCT
ejpam-6336	110	7	β1s	β1s	PUNCT
ejpam-6336	110	8	∗i∗	∗i∗	NUM
ejpam-6336	110	9	+	+	CCONJ
ejpam-6336	110	10	β2s	β2s	PUNCT
ejpam-6336	110	11	∗c∗	∗c∗	NUM
ejpam-6336	110	12	α+	α+	PUNCT
ejpam-6336	110	13	µ	µ	X
ejpam-6336	110	14	,	,	PUNCT
ejpam-6336	110	15	i∗	i∗	NOUN
ejpam-6336	110	16	=	=	NOUN
ejpam-6336	110	17	αe∗	αe∗	NOUN
ejpam-6336	110	18	γ	γ	X
ejpam-6336	110	19	+	+	CCONJ
ejpam-6336	110	20	δ	δ	PROPN
ejpam-6336	110	21	+	+	X
ejpam-6336	110	22	µ	µ	X
ejpam-6336	110	23	,	,	PUNCT
ejpam-6336	110	24	c∗	c∗	NOUN
ejpam-6336	110	25	=	=	NOUN
ejpam-6336	110	26	ρi∗	ρi∗	ADJ
ejpam-6336	110	27	σ	σ	NOUN
ejpam-6336	110	28	+	+	X
ejpam-6336	110	29	µ	µ	X
ejpam-6336	110	30	,	,	PUNCT
ejpam-6336	110	31	r∗	r∗	PROPN
ejpam-6336	110	32	=	=	PUNCT
ejpam-6336	110	33	γi∗	γi∗	VERB
ejpam-6336	110	34	ω	ω	PROPN
ejpam-6336	111	1	+	+	X
ejpam-6336	111	2	µ	µ	X
ejpam-6336	111	3	,	,	PUNCT
ejpam-6336	111	4	p	p	NOUN
ejpam-6336	111	5	∗	∗	NOUN
ejpam-6336	111	6	=	=	PUNCT
ejpam-6336	111	7	σc∗	σc∗	ADJ
ejpam-6336	111	8	+	+	CCONJ
ejpam-6336	111	9	ηd∗	ηd∗	PROPN
ejpam-6336	111	10	µ	µ	NOUN
ejpam-6336	111	11	,	,	PUNCT
ejpam-6336	111	12	d∗	d∗	PROPN
ejpam-6336	111	13	=	=	SYM
ejpam-6336	111	14	δi∗	δi∗	PROPN
ejpam-6336	111	15	η	η	PROPN
ejpam-6336	111	16	,	,	PUNCT
ejpam-6336	111	17	a∗	a∗	PROPN
ejpam-6336	111	18	=	=	SYM
ejpam-6336	111	19	κi∗	κi∗	PROPN
ejpam-6336	111	20	λ	λ	NOUN
ejpam-6336	111	21	.	.	PUNCT
ejpam-6336	112	1	(	(	PUNCT
ejpam-6336	112	2	5	5	X
ejpam-6336	112	3	)	)	PUNCT
ejpam-6336	112	4	s.	s.	PROPN
ejpam-6336	112	5	ahmad	ahmad	PROPN
ejpam-6336	112	6	,	,	PUNCT
ejpam-6336	112	7	n.	n.	PROPN
ejpam-6336	112	8	ahmad	ahmad	PROPN
ejpam-6336	112	9	,	,	PUNCT
ejpam-6336	112	10	i.	i.	PROPN
ejpam-6336	112	11	shah	shah	PROPN
ejpam-6336	112	12	/	/	SYM
ejpam-6336	112	13	eur	eur	PROPN
ejpam-6336	112	14	.	.	PUNCT
ejpam-6336	113	1	j.	j.	PROPN
ejpam-6336	113	2	pure	pure	PROPN
ejpam-6336	113	3	appl	appl	PROPN
ejpam-6336	113	4	.	.	PROPN
ejpam-6336	113	5	math	math	PROPN
ejpam-6336	113	6	,	,	PUNCT
ejpam-6336	113	7	18	18	NUM
ejpam-6336	113	8	(	(	PUNCT
ejpam-6336	113	9	3	3	NUM
ejpam-6336	113	10	)	)	PUNCT
ejpam-6336	113	11	(	(	PUNCT
ejpam-6336	113	12	2025	2025	NUM
ejpam-6336	113	13	)	)	PUNCT
ejpam-6336	113	14	,	,	PUNCT
ejpam-6336	113	15	6336	6336	NUM
ejpam-6336	113	16	10	10	NUM
ejpam-6336	113	17	of	of	ADP
ejpam-6336	113	18	24	24	NUM
ejpam-6336	113	19	0	0	NUM
ejpam-6336	113	20	10	10	NUM
ejpam-6336	113	21	20	20	NUM
ejpam-6336	113	22	30	30	NUM
ejpam-6336	113	23	40	40	NUM
ejpam-6336	113	24	50	50	NUM
ejpam-6336	113	25	60	60	NUM
ejpam-6336	113	26	70	70	NUM
ejpam-6336	113	27	80	80	NUM
ejpam-6336	113	28	time	time	NOUN
ejpam-6336	113	29	(	(	PUNCT
ejpam-6336	113	30	t	t	NOUN
ejpam-6336	113	31	)	)	PUNCT
ejpam-6336	113	32	0	0	NUM
ejpam-6336	114	1	500	500	NUM
ejpam-6336	114	2	1000	1000	NUM
ejpam-6336	114	3	1500	1500	NUM
ejpam-6336	115	1	p	p	NOUN
ejpam-6336	115	2	o	o	X
ejpam-6336	115	3	p	p	X
ejpam-6336	115	4	u	u	X
ejpam-6336	115	5	la	la	X
ejpam-6336	115	6	ti	ti	NOUN
ejpam-6336	115	7	o	o	NOUN
ejpam-6336	115	8	n	n	PROPN
ejpam-6336	115	9	(	(	PUNCT
ejpam-6336	115	10	a	a	X
ejpam-6336	115	11	)	)	PUNCT
ejpam-6336	115	12	endemic	endemic	ADJ
ejpam-6336	115	13	graph	graph	NOUN
ejpam-6336	115	14	for	for	ADP
ejpam-6336	115	15	model	model	NOUN
ejpam-6336	115	16	susceptible	susceptible	ADJ
ejpam-6336	115	17	(	(	PUNCT
ejpam-6336	115	18	s	s	NOUN
ejpam-6336	115	19	)	)	PUNCT
ejpam-6336	115	20	exposed	expose	VERB
ejpam-6336	115	21	(	(	PUNCT
ejpam-6336	115	22	e	e	NOUN
ejpam-6336	115	23	)	)	PUNCT
ejpam-6336	115	24	infected	infect	VERB
ejpam-6336	115	25	(	(	PUNCT
ejpam-6336	115	26	i	i	NOUN
ejpam-6336	115	27	)	)	PUNCT
ejpam-6336	115	28	controlled	control	VERB
ejpam-6336	115	29	(	(	PUNCT
ejpam-6336	115	30	c	c	NOUN
ejpam-6336	115	31	)	)	PUNCT
ejpam-6336	115	32	recovered	recover	VERB
ejpam-6336	115	33	(	(	PUNCT
ejpam-6336	115	34	r	r	NOUN
ejpam-6336	115	35	)	)	PUNCT
ejpam-6336	115	36	protected	protect	VERB
ejpam-6336	115	37	(	(	PUNCT
ejpam-6336	115	38	p	p	NOUN
ejpam-6336	115	39	)	)	PUNCT
ejpam-6336	115	40	disabled	disabled	ADJ
ejpam-6336	115	41	(	(	PUNCT
ejpam-6336	115	42	d	d	X
ejpam-6336	115	43	)	)	PUNCT
ejpam-6336	115	44	attackers	attacker	NOUN
ejpam-6336	115	45	(	(	PUNCT
ejpam-6336	115	46	a	a	X
ejpam-6336	115	47	)	)	PUNCT
ejpam-6336	115	48	0	0	NUM
ejpam-6336	115	49	0	0	NUM
ejpam-6336	115	50	10	10	NUM
ejpam-6336	115	51	200	200	NUM
ejpam-6336	115	52	400	400	NUM
ejpam-6336	115	53	100	100	NUM
ejpam-6336	115	54	r	r	NOUN
ejpam-6336	115	55	e	e	NOUN
ejpam-6336	115	56	c	c	NOUN
ejpam-6336	115	57	o	o	X
ejpam-6336	115	58	v	v	X
ejpam-6336	115	59	e	e	X
ejpam-6336	115	60	re	re	X
ejpam-6336	115	61	d	d	X
ejpam-6336	115	62	(	(	PUNCT
ejpam-6336	115	63	r	r	NOUN
ejpam-6336	115	64	)	)	PUNCT
ejpam-6336	115	65	(	(	PUNCT
ejpam-6336	115	66	b	b	X
ejpam-6336	115	67	)	)	PUNCT
ejpam-6336	115	68	state	state	NOUN
ejpam-6336	115	69	-	-	PUNCT
ejpam-6336	115	70	space	space	NOUN
ejpam-6336	115	71	trajectory	trajectory	NOUN
ejpam-6336	115	72	:	:	PUNCT
ejpam-6336	115	73	endemic	endemic	ADJ
ejpam-6336	115	74	equilibrium	equilibrium	NOUN
ejpam-6336	115	75	600	600	NUM
ejpam-6336	115	76	infected	infected	ADJ
ejpam-6336	115	77	(	(	PUNCT
ejpam-6336	115	78	i)susceptible	i)susceptible	ADJ
ejpam-6336	115	79	(	(	PUNCT
ejpam-6336	115	80	s	s	NOUN
ejpam-6336	115	81	)	)	PUNCT
ejpam-6336	115	82	200	200	NUM
ejpam-6336	115	83	5	5	NUM
ejpam-6336	115	84	800	800	NUM
ejpam-6336	115	85	1000	1000	NUM
ejpam-6336	115	86	300	300	NUM
ejpam-6336	115	87	400	400	NUM
ejpam-6336	115	88	0	0	NUM
ejpam-6336	115	89	trajectory	trajectory	NOUN
ejpam-6336	115	90	endemic	endemic	ADJ
ejpam-6336	115	91	equilibrium	equilibrium	NOUN
ejpam-6336	115	92	figure	figure	NOUN
ejpam-6336	115	93	3	3	NUM
ejpam-6336	115	94	:	:	PUNCT
ejpam-6336	115	95	endemic	endemic	ADJ
ejpam-6336	115	96	graphs	graph	NOUN
ejpam-6336	115	97	of	of	ADP
ejpam-6336	115	98	the	the	DET
ejpam-6336	115	99	system	system	NOUN
ejpam-6336	115	100	s.	s.	PROPN
ejpam-6336	115	101	ahmad	ahmad	PROPN
ejpam-6336	115	102	,	,	PUNCT
ejpam-6336	115	103	n.	n.	PROPN
ejpam-6336	115	104	ahmad	ahmad	PROPN
ejpam-6336	115	105	,	,	PUNCT
ejpam-6336	115	106	i.	i.	PROPN
ejpam-6336	115	107	shah	shah	PROPN
ejpam-6336	115	108	/	/	SYM
ejpam-6336	115	109	eur	eur	PROPN
ejpam-6336	115	110	.	.	PUNCT
ejpam-6336	116	1	j.	j.	PROPN
ejpam-6336	116	2	pure	pure	PROPN
ejpam-6336	116	3	appl	appl	PROPN
ejpam-6336	116	4	.	.	PROPN
ejpam-6336	116	5	math	math	PROPN
ejpam-6336	116	6	,	,	PUNCT
ejpam-6336	116	7	18	18	NUM
ejpam-6336	116	8	(	(	PUNCT
ejpam-6336	116	9	3	3	NUM
ejpam-6336	116	10	)	)	PUNCT
ejpam-6336	116	11	(	(	PUNCT
ejpam-6336	116	12	2025	2025	NUM
ejpam-6336	116	13	)	)	PUNCT
ejpam-6336	116	14	,	,	PUNCT
ejpam-6336	116	15	6336	6336	NUM
ejpam-6336	116	16	11	11	NUM
ejpam-6336	116	17	of	of	ADP
ejpam-6336	116	18	24	24	NUM
ejpam-6336	116	19	fig	fig	NOUN
ejpam-6336	116	20	.	.	PUNCT
ejpam-6336	117	1	(	(	PUNCT
ejpam-6336	117	2	3a	3a	NUM
ejpam-6336	117	3	)	)	PUNCT
ejpam-6336	117	4	and	and	CCONJ
ejpam-6336	117	5	(	(	PUNCT
ejpam-6336	117	6	3b	3b	NUM
ejpam-6336	117	7	)	)	PUNCT
ejpam-6336	118	1	and	and	CCONJ
ejpam-6336	118	2	present	present	VERB
ejpam-6336	118	3	the	the	DET
ejpam-6336	118	4	long	long	ADJ
ejpam-6336	118	5	-	-	PUNCT
ejpam-6336	118	6	term	term	NOUN
ejpam-6336	118	7	behavior	behavior	NOUN
ejpam-6336	118	8	of	of	ADP
ejpam-6336	118	9	a	a	DET
ejpam-6336	118	10	cyberattack	cyberattack	NOUN
ejpam-6336	118	11	propagation	propagation	NOUN
ejpam-6336	118	12	model	model	NOUN
ejpam-6336	118	13	in	in	ADP
ejpam-6336	118	14	a	a	DET
ejpam-6336	118	15	network	network	NOUN
ejpam-6336	118	16	under	under	ADP
ejpam-6336	118	17	optimal	optimal	ADJ
ejpam-6336	118	18	control	control	NOUN
ejpam-6336	118	19	measures	measure	NOUN
ejpam-6336	118	20	.	.	PUNCT
ejpam-6336	119	1	the	the	DET
ejpam-6336	119	2	fig	fig	NOUN
ejpam-6336	119	3	(	(	PUNCT
ejpam-6336	119	4	a	a	NOUN
ejpam-6336	119	5	)	)	PUNCT
ejpam-6336	119	6	tracks	track	VERB
ejpam-6336	119	7	system	system	NOUN
ejpam-6336	119	8	states	state	NOUN
ejpam-6336	119	9	over	over	ADP
ejpam-6336	119	10	time	time	NOUN
ejpam-6336	119	11	,	,	PUNCT
ejpam-6336	119	12	showing	show	VERB
ejpam-6336	119	13	a	a	DET
ejpam-6336	119	14	rapid	rapid	ADJ
ejpam-6336	119	15	decline	decline	NOUN
ejpam-6336	119	16	in	in	ADP
ejpam-6336	119	17	susceptible	susceptible	ADJ
ejpam-6336	119	18	(	(	PUNCT
ejpam-6336	119	19	s	s	NOUN
ejpam-6336	119	20	)	)	PUNCT
ejpam-6336	119	21	nodes	node	NOUN
ejpam-6336	119	22	from	from	ADP
ejpam-6336	119	23	1200	1200	NUM
ejpam-6336	119	24	as	as	SCONJ
ejpam-6336	119	25	the	the	DET
ejpam-6336	119	26	attack	attack	NOUN
ejpam-6336	119	27	spreads	spread	VERB
ejpam-6336	119	28	.	.	PUNCT
ejpam-6336	120	1	the	the	DET
ejpam-6336	120	2	exposed	expose	VERB
ejpam-6336	120	3	(	(	PUNCT
ejpam-6336	120	4	e	e	NOUN
ejpam-6336	120	5	)	)	PUNCT
ejpam-6336	120	6	population	population	NOUN
ejpam-6336	120	7	peaks	peak	NOUN
ejpam-6336	120	8	near	near	ADP
ejpam-6336	120	9	900	900	NUM
ejpam-6336	120	10	before	before	ADP
ejpam-6336	120	11	decreasing	decrease	VERB
ejpam-6336	120	12	,	,	PUNCT
ejpam-6336	120	13	while	while	SCONJ
ejpam-6336	120	14	infected	infected	ADJ
ejpam-6336	120	15	(	(	PUNCT
ejpam-6336	120	16	i	i	NOUN
ejpam-6336	120	17	)	)	PUNCT
ejpam-6336	120	18	nodes	node	NOUN
ejpam-6336	120	19	rise	rise	VERB
ejpam-6336	120	20	to	to	ADP
ejpam-6336	120	21	500	500	NUM
ejpam-6336	120	22	but	but	CCONJ
ejpam-6336	120	23	decline	decline	VERB
ejpam-6336	120	24	with	with	ADP
ejpam-6336	120	25	countermeasures	countermeasure	NOUN
ejpam-6336	120	26	.	.	PUNCT
ejpam-6336	121	1	recovered	recover	VERB
ejpam-6336	121	2	(	(	PUNCT
ejpam-6336	121	3	r	r	NOUN
ejpam-6336	121	4	)	)	PUNCT
ejpam-6336	121	5	systems	system	NOUN
ejpam-6336	121	6	steadily	steadily	ADV
ejpam-6336	121	7	increase	increase	VERB
ejpam-6336	121	8	,	,	PUNCT
ejpam-6336	121	9	stabilizing	stabilize	VERB
ejpam-6336	121	10	around	around	ADP
ejpam-6336	121	11	1400	1400	NUM
ejpam-6336	121	12	,	,	PUNCT
ejpam-6336	121	13	confirming	confirm	VERB
ejpam-6336	121	14	the	the	DET
ejpam-6336	121	15	effectiveness	effectiveness	NOUN
ejpam-6336	121	16	of	of	ADP
ejpam-6336	121	17	security	security	NOUN
ejpam-6336	121	18	interventions	intervention	NOUN
ejpam-6336	121	19	.	.	PUNCT
ejpam-6336	122	1	the	the	DET
ejpam-6336	122	2	fig	fig	NOUN
ejpam-6336	122	3	.	.	PUNCT
ejpam-6336	123	1	(	(	PUNCT
ejpam-6336	123	2	b	b	X
ejpam-6336	123	3	)	)	PUNCT
ejpam-6336	123	4	presents	present	VERB
ejpam-6336	123	5	a	a	DET
ejpam-6336	123	6	state	state	NOUN
ejpam-6336	123	7	-	-	PUNCT
ejpam-6336	123	8	space	space	NOUN
ejpam-6336	123	9	trajectory	trajectory	NOUN
ejpam-6336	123	10	,	,	PUNCT
ejpam-6336	123	11	showing	show	VERB
ejpam-6336	123	12	how	how	SCONJ
ejpam-6336	123	13	the	the	DET
ejpam-6336	123	14	network	network	NOUN
ejpam-6336	123	15	stabilizes	stabilize	VERB
ejpam-6336	123	16	at	at	ADP
ejpam-6336	123	17	an	an	DET
ejpam-6336	123	18	endemic	endemic	ADJ
ejpam-6336	123	19	equilibrium	equilibrium	NOUN
ejpam-6336	123	20	with	with	ADP
ejpam-6336	123	21	s	s	PROPN
ejpam-6336	123	22	≈	≈	PROPN
ejpam-6336	123	23	100	100	NUM
ejpam-6336	123	24	,	,	PUNCT
ejpam-6336	124	1	i	i	PRON
ejpam-6336	124	2	≈	≈	PROPN
ejpam-6336	124	3	5	5	NUM
ejpam-6336	124	4	,	,	PUNCT
ejpam-6336	124	5	and	and	CCONJ
ejpam-6336	124	6	r	r	NOUN
ejpam-6336	124	7	≈	≈	PROPN
ejpam-6336	124	8	900	900	NUM
ejpam-6336	124	9	.	.	PUNCT
ejpam-6336	125	1	the	the	DET
ejpam-6336	125	2	black	black	ADJ
ejpam-6336	125	3	trajectory	trajectory	NOUN
ejpam-6336	125	4	reflects	reflect	VERB
ejpam-6336	125	5	fluctuations	fluctuation	NOUN
ejpam-6336	125	6	before	before	ADP
ejpam-6336	125	7	reaching	reach	VERB
ejpam-6336	125	8	stability	stability	NOUN
ejpam-6336	125	9	,	,	PUNCT
ejpam-6336	125	10	and	and	CCONJ
ejpam-6336	125	11	the	the	DET
ejpam-6336	125	12	red	red	ADJ
ejpam-6336	125	13	marker	marker	NOUN
ejpam-6336	125	14	denotes	denote	NOUN
ejpam-6336	125	15	the	the	DET
ejpam-6336	125	16	final	final	ADJ
ejpam-6336	125	17	steady	steady	ADJ
ejpam-6336	125	18	state	state	NOUN
ejpam-6336	125	19	,	,	PUNCT
ejpam-6336	125	20	indicating	indicate	VERB
ejpam-6336	125	21	controlled	control	VERB
ejpam-6336	125	22	but	but	CCONJ
ejpam-6336	125	23	persistent	persistent	ADJ
ejpam-6336	125	24	cyber	cyber	NOUN
ejpam-6336	125	25	threats	threat	NOUN
ejpam-6336	125	26	.	.	PUNCT
ejpam-6336	126	1	7	7	X
ejpam-6336	126	2	.	.	X
ejpam-6336	126	3	basic	basic	ADJ
ejpam-6336	126	4	reproduction	reproduction	NOUN
ejpam-6336	126	5	number	number	NOUN
ejpam-6336	126	6	r0	r0	VERB
ejpam-6336	126	7	the	the	DET
ejpam-6336	126	8	basic	basic	ADJ
ejpam-6336	126	9	reproduction	reproduction	NOUN
ejpam-6336	126	10	number	number	NOUN
ejpam-6336	126	11	,	,	PUNCT
ejpam-6336	126	12	r0	r0	NOUN
ejpam-6336	126	13	,	,	PUNCT
ejpam-6336	126	14	is	be	AUX
ejpam-6336	126	15	a	a	DET
ejpam-6336	126	16	key	key	ADJ
ejpam-6336	126	17	epidemiological	epidemiological	ADJ
ejpam-6336	126	18	metric	metric	NOUN
ejpam-6336	126	19	in	in	ADP
ejpam-6336	126	20	many	many	ADJ
ejpam-6336	126	21	articles	article	NOUN
ejpam-6336	126	22	founds	found	VERB
ejpam-6336	126	23	[	[	X
ejpam-6336	126	24	20–23	20–23	NOUN
ejpam-6336	126	25	]	]	PUNCT
ejpam-6336	126	26	that	that	PRON
ejpam-6336	126	27	determines	determine	VERB
ejpam-6336	126	28	whether	whether	SCONJ
ejpam-6336	126	29	a	a	DET
ejpam-6336	126	30	virus	virus	NOUN
ejpam-6336	126	31	will	will	AUX
ejpam-6336	126	32	spread	spread	VERB
ejpam-6336	126	33	within	within	ADP
ejpam-6336	126	34	a	a	DET
ejpam-6336	126	35	computer	computer	NOUN
ejpam-6336	126	36	network	network	NOUN
ejpam-6336	126	37	.	.	PUNCT
ejpam-6336	127	1	it	it	PRON
ejpam-6336	127	2	represents	represent	VERB
ejpam-6336	127	3	the	the	DET
ejpam-6336	127	4	expected	expect	VERB
ejpam-6336	127	5	number	number	NOUN
ejpam-6336	127	6	of	of	ADP
ejpam-6336	127	7	secondary	secondary	ADJ
ejpam-6336	127	8	infections	infection	NOUN
ejpam-6336	127	9	caused	cause	VERB
ejpam-6336	127	10	by	by	ADP
ejpam-6336	127	11	a	a	DET
ejpam-6336	127	12	single	single	ADJ
ejpam-6336	127	13	infected	infected	ADJ
ejpam-6336	127	14	node	node	NOUN
ejpam-6336	127	15	in	in	ADP
ejpam-6336	127	16	an	an	DET
ejpam-6336	127	17	otherwise	otherwise	ADV
ejpam-6336	127	18	fully	fully	ADV
ejpam-6336	127	19	susceptible	susceptible	ADJ
ejpam-6336	127	20	network	network	NOUN
ejpam-6336	127	21	.	.	PUNCT
ejpam-6336	128	1	if	if	SCONJ
ejpam-6336	128	2	r0	r0	NOUN
ejpam-6336	128	3	<	<	X
ejpam-6336	128	4	1	1	NUM
ejpam-6336	128	5	,	,	PUNCT
ejpam-6336	128	6	the	the	DET
ejpam-6336	128	7	malware	malware	NOUN
ejpam-6336	128	8	is	be	AUX
ejpam-6336	128	9	expected	expect	VERB
ejpam-6336	128	10	to	to	PART
ejpam-6336	128	11	die	die	VERB
ejpam-6336	128	12	out	out	ADP
ejpam-6336	128	13	over	over	ADP
ejpam-6336	128	14	time	time	NOUN
ejpam-6336	128	15	,	,	PUNCT
ejpam-6336	128	16	whereas	whereas	SCONJ
ejpam-6336	128	17	if	if	SCONJ
ejpam-6336	128	18	r0	r0	NOUN
ejpam-6336	128	19	>	>	X
ejpam-6336	128	20	1	1	NUM
ejpam-6336	128	21	,	,	PUNCT
ejpam-6336	128	22	the	the	DET
ejpam-6336	128	23	virus	virus	NOUN
ejpam-6336	128	24	persists	persist	VERB
ejpam-6336	128	25	and	and	CCONJ
ejpam-6336	128	26	spreads	spread	VERB
ejpam-6336	128	27	within	within	ADP
ejpam-6336	128	28	the	the	DET
ejpam-6336	128	29	network	network	NOUN
ejpam-6336	128	30	.	.	PUNCT
ejpam-6336	129	1	to	to	PART
ejpam-6336	129	2	determine	determine	VERB
ejpam-6336	129	3	r0	r0	NOUN
ejpam-6336	129	4	,	,	PUNCT
ejpam-6336	129	5	we	we	PRON
ejpam-6336	129	6	employ	employ	VERB
ejpam-6336	129	7	the	the	DET
ejpam-6336	129	8	next	next	ADJ
ejpam-6336	129	9	-	-	PUNCT
ejpam-6336	129	10	generation	generation	NOUN
ejpam-6336	129	11	matrix	matrix	NOUN
ejpam-6336	129	12	(	(	PUNCT
ejpam-6336	129	13	ngm	ngm	NOUN
ejpam-6336	129	14	)	)	PUNCT
ejpam-6336	129	15	approach	approach	NOUN
ejpam-6336	129	16	,	,	PUNCT
ejpam-6336	129	17	which	which	PRON
ejpam-6336	129	18	is	be	AUX
ejpam-6336	129	19	widely	widely	ADV
ejpam-6336	129	20	used	use	VERB
ejpam-6336	129	21	in	in	ADP
ejpam-6336	129	22	cyber	cyber	ADJ
ejpam-6336	129	23	-	-	PUNCT
ejpam-6336	129	24	epidemic	epidemic	NOUN
ejpam-6336	129	25	models	model	NOUN
ejpam-6336	129	26	.	.	PUNCT
ejpam-6336	130	1	to	to	PART
ejpam-6336	130	2	compute	compute	VERB
ejpam-6336	130	3	r0	r0	NOUN
ejpam-6336	130	4	,	,	PUNCT
ejpam-6336	130	5	we	we	PRON
ejpam-6336	130	6	define	define	VERB
ejpam-6336	130	7	the	the	DET
ejpam-6336	130	8	infection	infection	NOUN
ejpam-6336	130	9	terms	term	NOUN
ejpam-6336	130	10	and	and	CCONJ
ejpam-6336	130	11	transition	transition	NOUN
ejpam-6336	130	12	dynamics	dynamic	NOUN
ejpam-6336	130	13	and	and	CCONJ
ejpam-6336	130	14	substituting	substitute	VERB
ejpam-6336	130	15	the	the	DET
ejpam-6336	130	16	s∗	s∗	PROPN
ejpam-6336	130	17	from	from	ADP
ejpam-6336	130	18	(	(	PUNCT
ejpam-6336	130	19	3	3	X
ejpam-6336	130	20	)	)	PUNCT
ejpam-6336	130	21	the	the	DET
ejpam-6336	130	22	required	require	VERB
ejpam-6336	130	23	matrices	matrix	NOUN
ejpam-6336	130	24	can	can	AUX
ejpam-6336	130	25	be	be	AUX
ejpam-6336	130	26	written	write	VERB
ejpam-6336	130	27	as	as	ADP
ejpam-6336	130	28	:	:	PUNCT
ejpam-6336	130	29	f	f	NOUN
ejpam-6336	130	30	=	=	PUNCT
ejpam-6336	130	31			NOUN
ejpam-6336	130	32	0	0	NUM
ejpam-6336	130	33	β1s	β1s	PUNCT
ejpam-6336	130	34	∗	∗	NOUN
ejpam-6336	130	35	β2s	β2s	NUM
ejpam-6336	130	36	∗	∗	NOUN
ejpam-6336	130	37	0	0	NUM
ejpam-6336	130	38	0	0	NUM
ejpam-6336	131	1	α	α	NOUN
ejpam-6336	131	2	0	0	NUM
ejpam-6336	131	3	0	0	NUM
ejpam-6336	131	4	0	0	NUM
ejpam-6336	131	5	0	0	NUM
ejpam-6336	131	6	0	0	NUM
ejpam-6336	131	7	ρ	ρ	NOUN
ejpam-6336	131	8	0	0	NUM
ejpam-6336	131	9	0	0	NUM
ejpam-6336	131	10	0	0	NUM
ejpam-6336	131	11	0	0	NUM
ejpam-6336	131	12	δ	δ	NOUN
ejpam-6336	131	13	0	0	NUM
ejpam-6336	131	14	0	0	NUM
ejpam-6336	131	15	0	0	NUM
ejpam-6336	131	16	0	0	NUM
ejpam-6336	131	17	κ	κ	NOUN
ejpam-6336	131	18	0	0	NUM
ejpam-6336	131	19	0	0	NUM
ejpam-6336	131	20	0	0	NUM
ejpam-6336	131	21			NOUN
ejpam-6336	131	22	,	,	PUNCT
ejpam-6336	131	23	v	v	NOUN
ejpam-6336	131	24	=	=	PUNCT
ejpam-6336	131	25			NOUN
ejpam-6336	131	26	α+	α+	X
ejpam-6336	131	27	µ	µ	X
ejpam-6336	131	28	0	0	NUM
ejpam-6336	131	29	0	0	NUM
ejpam-6336	131	30	0	0	NUM
ejpam-6336	131	31	0	0	NUM
ejpam-6336	131	32	0	0	NUM
ejpam-6336	131	33	γ	γ	PROPN
ejpam-6336	131	34	+	+	PROPN
ejpam-6336	131	35	δ	δ	PROPN
ejpam-6336	131	36	+	+	X
ejpam-6336	131	37	µ	µ	X
ejpam-6336	131	38	−θ	−θ	ADJ
ejpam-6336	131	39	0	0	NUM
ejpam-6336	131	40	0	0	NUM
ejpam-6336	131	41	0	0	NUM
ejpam-6336	131	42	−ρ	−ρ	NOUN
ejpam-6336	131	43	σ	σ	PROPN
ejpam-6336	131	44	+	+	X
ejpam-6336	131	45	µ	µ	X
ejpam-6336	131	46	0	0	NUM
ejpam-6336	131	47	0	0	NUM
ejpam-6336	131	48	0	0	NUM
ejpam-6336	131	49	−δ	−δ	ADJ
ejpam-6336	131	50	0	0	NUM
ejpam-6336	131	51	η	η	PROPN
ejpam-6336	131	52	0	0	NUM
ejpam-6336	131	53	0	0	NUM
ejpam-6336	131	54	−κ	−κ	NOUN
ejpam-6336	131	55	0	0	NUM
ejpam-6336	131	56	0	0	NUM
ejpam-6336	132	1	λ	λ	NOUN
ejpam-6336	132	2			NOUN
ejpam-6336	132	3	the	the	DET
ejpam-6336	132	4	basic	basic	ADJ
ejpam-6336	132	5	reproduction	reproduction	NOUN
ejpam-6336	132	6	number	number	NOUN
ejpam-6336	132	7	is	be	AUX
ejpam-6336	132	8	derived	derive	VERB
ejpam-6336	132	9	from	from	ADP
ejpam-6336	132	10	the	the	DET
ejpam-6336	132	11	spectral	spectral	ADJ
ejpam-6336	132	12	radius	radius	NOUN
ejpam-6336	132	13	of	of	ADP
ejpam-6336	132	14	the	the	DET
ejpam-6336	132	15	matrix	matrix	NOUN
ejpam-6336	132	16	product	product	NOUN
ejpam-6336	132	17	fv	fv	NOUN
ejpam-6336	132	18	−1	−1	NOUN
ejpam-6336	132	19	:	:	PUNCT
ejpam-6336	132	20	r0	r0	NOUN
ejpam-6336	132	21	=	=	SYM
ejpam-6336	132	22	ρ(fv	ρ(fv	NOUN
ejpam-6336	132	23	−1	−1	NOUN
ejpam-6336	132	24	)	)	PUNCT
ejpam-6336	132	25	the	the	DET
ejpam-6336	132	26	computed	compute	VERB
ejpam-6336	132	27	r0	r0	NOUN
ejpam-6336	132	28	expression	expression	NOUN
ejpam-6336	132	29	is	be	AUX
ejpam-6336	132	30	:	:	PUNCT
ejpam-6336	132	31	r0	r0	NOUN
ejpam-6336	132	32	=	=	PUNCT
ejpam-6336	133	1	λ(β1(σ	λ(β1(σ	PROPN
ejpam-6336	133	2	+	+	CCONJ
ejpam-6336	133	3	µ	µ	X
ejpam-6336	133	4	)	)	PUNCT
ejpam-6336	133	5	+	+	NUM
ejpam-6336	133	6	β2ρ	β2ρ	NOUN
ejpam-6336	133	7	)	)	PUNCT
ejpam-6336	133	8	µ(σ	µ(σ	PUNCT
ejpam-6336	133	9	+	+	PUNCT
ejpam-6336	133	10	µ)(γ	µ)(γ	ADJ
ejpam-6336	133	11	+	+	SYM
ejpam-6336	133	12	δ	δ	PROPN
ejpam-6336	133	13	+	+	X
ejpam-6336	133	14	µ	µ	X
ejpam-6336	133	15	)	)	PUNCT
ejpam-6336	133	16	(	(	PUNCT
ejpam-6336	133	17	6	6	NUM
ejpam-6336	133	18	)	)	PUNCT
ejpam-6336	133	19	in	in	ADP
ejpam-6336	133	20	eq	eq	ADP
ejpam-6336	133	21	.	.	PUNCT
ejpam-6336	134	1	(	(	PUNCT
ejpam-6336	134	2	6	6	X
ejpam-6336	134	3	)	)	PUNCT
ejpam-6336	134	4	β1	β1	NOUN
ejpam-6336	134	5	governs	govern	VERB
ejpam-6336	134	6	internal	internal	ADJ
ejpam-6336	134	7	infection	infection	NOUN
ejpam-6336	134	8	while	while	SCONJ
ejpam-6336	134	9	β2	β2	NOUN
ejpam-6336	134	10	models	model	VERB
ejpam-6336	134	11	external	external	ADJ
ejpam-6336	134	12	infections	infection	NOUN
ejpam-6336	134	13	via	via	ADP
ejpam-6336	134	14	botnetcontrolled	botnetcontrolled	ADJ
ejpam-6336	134	15	nodes	node	NOUN
ejpam-6336	134	16	(	(	PUNCT
ejpam-6336	134	17	c	c	NOUN
ejpam-6336	134	18	)	)	PUNCT
ejpam-6336	134	19	.	.	PUNCT
ejpam-6336	135	1	the	the	DET
ejpam-6336	135	2	term	term	NOUN
ejpam-6336	135	3	β2ρ	β2ρ	NOUN
ejpam-6336	135	4	reflects	reflect	VERB
ejpam-6336	135	5	the	the	DET
ejpam-6336	135	6	compounded	compound	VERB
ejpam-6336	135	7	risk	risk	NOUN
ejpam-6336	135	8	when	when	SCONJ
ejpam-6336	135	9	infected	infected	ADJ
ejpam-6336	135	10	nodes	node	NOUN
ejpam-6336	135	11	(	(	PUNCT
ejpam-6336	135	12	i	i	NOUN
ejpam-6336	135	13	)	)	PUNCT
ejpam-6336	135	14	are	be	AUX
ejpam-6336	135	15	recruited	recruit	VERB
ejpam-6336	135	16	into	into	ADP
ejpam-6336	135	17	botnets	botnet	NOUN
ejpam-6336	135	18	(	(	PUNCT
ejpam-6336	135	19	c	c	NOUN
ejpam-6336	135	20	)	)	PUNCT
ejpam-6336	135	21	,	,	PUNCT
ejpam-6336	135	22	amplifying	amplify	VERB
ejpam-6336	135	23	attack	attack	NOUN
ejpam-6336	135	24	scalability	scalability	NOUN
ejpam-6336	135	25	.	.	PUNCT
ejpam-6336	136	1	fig	fig	NOUN
ejpam-6336	136	2	.	.	PUNCT
ejpam-6336	137	1	6	6	NUM
ejpam-6336	137	2	confirms	confirm	VERB
ejpam-6336	137	3	β1	β1	PROPN
ejpam-6336	137	4	’s	’s	PART
ejpam-6336	137	5	larger	large	ADJ
ejpam-6336	137	6	sensitivity	sensitivity	NOUN
ejpam-6336	137	7	index	index	NOUN
ejpam-6336	137	8	(	(	PUNCT
ejpam-6336	137	9	sβ1	sβ1	PROPN
ejpam-6336	137	10	=	=	SYM
ejpam-6336	137	11	0.625	0.625	NUM
ejpam-6336	137	12	)	)	PUNCT
ejpam-6336	137	13	,	,	PUNCT
ejpam-6336	137	14	implying	imply	VERB
ejpam-6336	137	15	that	that	SCONJ
ejpam-6336	137	16	curtailing	curtail	VERB
ejpam-6336	137	17	direct	direct	ADJ
ejpam-6336	137	18	infections	infection	NOUN
ejpam-6336	137	19	(	(	PUNCT
ejpam-6336	137	20	e.g.	e.g.	ADV
ejpam-6336	137	21	,	,	PUNCT
ejpam-6336	137	22	patching	patching	NOUN
ejpam-6336	137	23	)	)	PUNCT
ejpam-6336	137	24	is	be	AUX
ejpam-6336	137	25	more	more	ADJ
ejpam-6336	137	26	impact	impact	NOUN
ejpam-6336	137	27	full	full	ADJ
ejpam-6336	137	28	than	than	ADP
ejpam-6336	137	29	mitigating	mitigate	VERB
ejpam-6336	137	30	botnet	botnet	NOUN
ejpam-6336	137	31	spread	spread	NOUN
ejpam-6336	137	32	(	(	PUNCT
ejpam-6336	137	33	sβ2	sβ2	NOUN
ejpam-6336	137	34	=	=	NOUN
ejpam-6336	137	35	0.375	0.375	NUM
ejpam-6336	137	36	)	)	PUNCT
ejpam-6336	137	37	.	.	PUNCT
ejpam-6336	138	1	s.	s.	PROPN
ejpam-6336	138	2	ahmad	ahmad	PROPN
ejpam-6336	138	3	,	,	PUNCT
ejpam-6336	138	4	n.	n.	PROPN
ejpam-6336	138	5	ahmad	ahmad	PROPN
ejpam-6336	138	6	,	,	PUNCT
ejpam-6336	138	7	i.	i.	PROPN
ejpam-6336	138	8	shah	shah	PROPN
ejpam-6336	138	9	/	/	SYM
ejpam-6336	138	10	eur	eur	PROPN
ejpam-6336	138	11	.	.	PUNCT
ejpam-6336	139	1	j.	j.	PROPN
ejpam-6336	139	2	pure	pure	PROPN
ejpam-6336	139	3	appl	appl	PROPN
ejpam-6336	139	4	.	.	PROPN
ejpam-6336	139	5	math	math	PROPN
ejpam-6336	139	6	,	,	PUNCT
ejpam-6336	139	7	18	18	NUM
ejpam-6336	139	8	(	(	PUNCT
ejpam-6336	139	9	3	3	NUM
ejpam-6336	139	10	)	)	PUNCT
ejpam-6336	139	11	(	(	PUNCT
ejpam-6336	139	12	2025	2025	NUM
ejpam-6336	139	13	)	)	PUNCT
ejpam-6336	139	14	,	,	PUNCT
ejpam-6336	139	15	6336	6336	NUM
ejpam-6336	139	16	12	12	NUM
ejpam-6336	139	17	of	of	ADP
ejpam-6336	139	18	24	24	NUM
ejpam-6336	139	19	0	0	NUM
ejpam-6336	139	20	0	0	NUM
ejpam-6336	139	21	0.1	0.1	NUM
ejpam-6336	139	22	1	1	NUM
ejpam-6336	139	23	2	2	NUM
ejpam-6336	139	24	r	r	NOUN
ejpam-6336	139	25	0	0	NUM
ejpam-6336	139	26	direct	direct	ADJ
ejpam-6336	139	27	vs	vs	ADP
ejpam-6336	139	28	botnet	botnet	NOUN
ejpam-6336	139	29	infection	infection	NOUN
ejpam-6336	139	30	3	3	NUM
ejpam-6336	139	31	1	1	NUM
ejpam-6336	139	32	2	2	NUM
ejpam-6336	139	33	0.05	0.05	NUM
ejpam-6336	139	34	0.05	0.05	NUM
ejpam-6336	139	35	4	4	NUM
ejpam-6336	139	36	5	5	NUM
ejpam-6336	139	37	0.1	0.1	NUM
ejpam-6336	139	38	0	0	NUM
ejpam-6336	139	39	0	0	NUM
ejpam-6336	139	40	0.2	0.2	NUM
ejpam-6336	139	41	0.4	0.4	NUM
ejpam-6336	139	42	0.6	0.6	NUM
ejpam-6336	140	1	0.8	0.8	NUM
ejpam-6336	140	2	1	1	NUM
ejpam-6336	140	3	1.2	1.2	NUM
ejpam-6336	140	4	1.4	1.4	NUM
ejpam-6336	140	5	1.6	1.6	NUM
ejpam-6336	140	6	1.8	1.8	NUM
ejpam-6336	140	7	2	2	NUM
ejpam-6336	140	8	0	0	NUM
ejpam-6336	140	9	1	1	NUM
ejpam-6336	140	10	0.02	0.02	NUM
ejpam-6336	140	11	2	2	NUM
ejpam-6336	140	12	0.08	0.08	NUM
ejpam-6336	140	13	0.04	0.04	NUM
ejpam-6336	140	14	r	r	NOUN
ejpam-6336	140	15	0	0	NUM
ejpam-6336	140	16	0.06	0.06	NUM
ejpam-6336	140	17	3	3	NUM
ejpam-6336	140	18	recovery	recovery	NOUN
ejpam-6336	140	19	vs	vs	ADP
ejpam-6336	140	20	damage	damage	NOUN
ejpam-6336	140	21	rates	rate	NOUN
ejpam-6336	140	22	0.06	0.06	NUM
ejpam-6336	140	23	0.04	0.04	NUM
ejpam-6336	140	24	4	4	NUM
ejpam-6336	140	25	0.08	0.08	NUM
ejpam-6336	140	26	0.02	0.02	NUM
ejpam-6336	140	27	5	5	NUM
ejpam-6336	140	28	0	0	NUM
ejpam-6336	140	29	0	0	NUM
ejpam-6336	140	30	0.2	0.2	NUM
ejpam-6336	140	31	0.4	0.4	NUM
ejpam-6336	140	32	0.6	0.6	NUM
ejpam-6336	140	33	0.8	0.8	NUM
ejpam-6336	140	34	1	1	NUM
ejpam-6336	140	35	1.2	1.2	NUM
ejpam-6336	140	36	1.4	1.4	NUM
ejpam-6336	140	37	1.6	1.6	NUM
ejpam-6336	140	38	1.8	1.8	NUM
ejpam-6336	140	39	2	2	NUM
ejpam-6336	140	40	0	0	NUM
ejpam-6336	140	41	0	0	NUM
ejpam-6336	140	42	0.3	0.3	NUM
ejpam-6336	140	43	1	1	NUM
ejpam-6336	140	44	2	2	NUM
ejpam-6336	140	45	0.2	0.2	NUM
ejpam-6336	140	46	infection	infection	NOUN
ejpam-6336	140	47	vs	vs	ADP
ejpam-6336	140	48	recovery	recovery	NOUN
ejpam-6336	140	49	r	r	NOUN
ejpam-6336	140	50	0	0	NUM
ejpam-6336	140	51	3	3	NUM
ejpam-6336	140	52	1	1	NUM
ejpam-6336	140	53	0.05	0.05	NUM
ejpam-6336	140	54	4	4	NUM
ejpam-6336	140	55	0.1	0.1	NUM
ejpam-6336	140	56	5	5	NUM
ejpam-6336	140	57	00.1	00.1	NUM
ejpam-6336	140	58	0	0	NUM
ejpam-6336	140	59	0.2	0.2	NUM
ejpam-6336	140	60	0.4	0.4	NUM
ejpam-6336	140	61	0.6	0.6	NUM
ejpam-6336	140	62	0.8	0.8	NUM
ejpam-6336	140	63	1	1	NUM
ejpam-6336	140	64	1.2	1.2	NUM
ejpam-6336	140	65	1.4	1.4	NUM
ejpam-6336	140	66	1.6	1.6	NUM
ejpam-6336	140	67	1.8	1.8	NUM
ejpam-6336	140	68	2	2	NUM
ejpam-6336	140	69	0.86	0.86	NUM
ejpam-6336	140	70	10	10	NUM
ejpam-6336	140	71	0.88	0.88	NUM
ejpam-6336	140	72	0.9	0.9	NUM
ejpam-6336	140	73	botnet	botnet	NOUN
ejpam-6336	140	74	infection	infection	NOUN
ejpam-6336	140	75	vs	vs	ADP
ejpam-6336	140	76	recovery	recovery	NOUN
ejpam-6336	140	77	r	r	NOUN
ejpam-6336	140	78	0	0	NUM
ejpam-6336	140	79	0.92	0.92	NUM
ejpam-6336	140	80	2	2	NUM
ejpam-6336	140	81	0.05	0.05	NUM
ejpam-6336	140	82	0.5	0.5	NUM
ejpam-6336	140	83	0.94	0.94	NUM
ejpam-6336	140	84	0.96	0.96	NUM
ejpam-6336	140	85	00.1	00.1	NUM
ejpam-6336	140	86	0	0	NUM
ejpam-6336	140	87	0.2	0.2	NUM
ejpam-6336	140	88	0.4	0.4	NUM
ejpam-6336	140	89	0.6	0.6	NUM
ejpam-6336	140	90	0.8	0.8	NUM
ejpam-6336	140	91	1	1	NUM
ejpam-6336	140	92	1.2	1.2	NUM
ejpam-6336	140	93	1.4	1.4	NUM
ejpam-6336	140	94	1.6	1.6	NUM
ejpam-6336	140	95	1.8	1.8	NUM
ejpam-6336	140	96	2	2	NUM
ejpam-6336	140	97	figure	figure	NOUN
ejpam-6336	140	98	4	4	NUM
ejpam-6336	140	99	:	:	PUNCT
ejpam-6336	140	100	3d	3d	NUM
ejpam-6336	140	101	plots	plot	NOUN
ejpam-6336	140	102	of	of	ADP
ejpam-6336	140	103	different	different	ADJ
ejpam-6336	140	104	parameters	parameter	NOUN
ejpam-6336	140	105	vs	vs	ADP
ejpam-6336	140	106	reproduction	reproduction	NOUN
ejpam-6336	140	107	number	number	NOUN
ejpam-6336	140	108	.	.	PUNCT
ejpam-6336	141	1	the	the	DET
ejpam-6336	141	2	numerical	numerical	ADJ
ejpam-6336	141	3	values	value	NOUN
ejpam-6336	141	4	used	use	VERB
ejpam-6336	141	5	are	be	AUX
ejpam-6336	141	6	λ	λ	X
ejpam-6336	141	7	=	=	NOUN
ejpam-6336	141	8	0.98;µ	0.98;µ	PROPN
ejpam-6336	141	9	=	=	SYM
ejpam-6336	141	10	0.02	0.02	NUM
ejpam-6336	141	11	,	,	PUNCT
ejpam-6336	141	12	β1	β1	PROPN
ejpam-6336	141	13	=	=	PUNCT
ejpam-6336	141	14	0.003	0.003	NUM
ejpam-6336	141	15	,	,	PUNCT
ejpam-6336	141	16	β2	β2	NOUN
ejpam-6336	141	17	=	=	NOUN
ejpam-6336	141	18	0.2	0.2	NUM
ejpam-6336	141	19	,	,	PUNCT
ejpam-6336	141	20	γ	γ	X
ejpam-6336	141	21	=	=	SYM
ejpam-6336	141	22	0.1	0.1	NUM
ejpam-6336	141	23	,	,	PUNCT
ejpam-6336	141	24	δ	δ	X
ejpam-6336	141	25	=	=	NOUN
ejpam-6336	141	26	0.05	0.05	NUM
ejpam-6336	141	27	,	,	PUNCT
ejpam-6336	141	28	σ	σ	PROPN
ejpam-6336	141	29	=	=	SYM
ejpam-6336	141	30	0.001	0.001	NUM
ejpam-6336	141	31	,	,	PUNCT
ejpam-6336	141	32	ρ	ρ	PROPN
ejpam-6336	141	33	=	=	SYM
ejpam-6336	141	34	0.000095	0.000095	NUM
ejpam-6336	141	35	.	.	PUNCT
ejpam-6336	142	1	8	8	NUM
ejpam-6336	142	2	.	.	PUNCT
ejpam-6336	143	1	stability	stability	NOUN
ejpam-6336	143	2	analysis	analysis	NOUN
ejpam-6336	143	3	8.1	8.1	NUM
ejpam-6336	143	4	.	.	PUNCT
ejpam-6336	144	1	local	local	ADJ
ejpam-6336	144	2	asymptotic	asymptotic	ADJ
ejpam-6336	144	3	stability	stability	NOUN
ejpam-6336	144	4	of	of	ADP
ejpam-6336	144	5	the	the	DET
ejpam-6336	144	6	virus	virus	NOUN
ejpam-6336	144	7	-	-	PUNCT
ejpam-6336	144	8	free	free	ADJ
ejpam-6336	144	9	equilibrium	equilibrium	NOUN
ejpam-6336	144	10	in	in	ADP
ejpam-6336	144	11	a	a	DET
ejpam-6336	144	12	cyberattack	cyberattack	NOUN
ejpam-6336	144	13	propagation	propagation	NOUN
ejpam-6336	144	14	model	model	NOUN
ejpam-6336	144	15	theorem	theorem	VERB
ejpam-6336	144	16	2	2	NUM
ejpam-6336	144	17	.	.	PUNCT
ejpam-6336	145	1	the	the	DET
ejpam-6336	145	2	virus	virus	NOUN
ejpam-6336	145	3	-	-	PUNCT
ejpam-6336	145	4	free	free	ADJ
ejpam-6336	145	5	equilibrium	equilibrium	NOUN
ejpam-6336	145	6	(	(	PUNCT
ejpam-6336	145	7	vfe	vfe	NOUN
ejpam-6336	145	8	)	)	PUNCT
ejpam-6336	145	9	of	of	ADP
ejpam-6336	145	10	the	the	DET
ejpam-6336	145	11	cyberattack	cyberattack	NOUN
ejpam-6336	145	12	propagation	propagation	NOUN
ejpam-6336	145	13	model	model	NOUN
ejpam-6336	145	14	,	,	PUNCT
ejpam-6336	145	15	given	give	VERB
ejpam-6336	145	16	by	by	ADP
ejpam-6336	145	17	e0	e0	PROPN
ejpam-6336	145	18	=	=	PUNCT
ejpam-6336	145	19	(	(	PUNCT
ejpam-6336	145	20	s∗	s∗	PROPN
ejpam-6336	145	21	,	,	PUNCT
ejpam-6336	145	22	0	0	NUM
ejpam-6336	145	23	,	,	PUNCT
ejpam-6336	145	24	0	0	NUM
ejpam-6336	145	25	,	,	PUNCT
ejpam-6336	145	26	0	0	NUM
ejpam-6336	145	27	,	,	PUNCT
ejpam-6336	145	28	r∗	r∗	PROPN
ejpam-6336	145	29	,	,	PUNCT
ejpam-6336	145	30	p	p	NOUN
ejpam-6336	145	31	∗	∗	NOUN
ejpam-6336	145	32	,	,	PUNCT
ejpam-6336	145	33	0	0	NUM
ejpam-6336	145	34	,	,	PUNCT
ejpam-6336	145	35	a∗	a∗	NOUN
ejpam-6336	145	36	)	)	PUNCT
ejpam-6336	145	37	,	,	PUNCT
ejpam-6336	145	38	(	(	PUNCT
ejpam-6336	145	39	7	7	X
ejpam-6336	145	40	)	)	PUNCT
ejpam-6336	145	41	where	where	SCONJ
ejpam-6336	145	42	s∗	s∗	PROPN
ejpam-6336	145	43	=	=	SYM
ejpam-6336	145	44	λ	λ	X
ejpam-6336	145	45	µ	µ	X
ejpam-6336	145	46	,	,	PUNCT
ejpam-6336	145	47	r	r	NOUN
ejpam-6336	145	48	∗	∗	NOUN
ejpam-6336	145	49	=	=	SYM
ejpam-6336	145	50	0	0	NUM
ejpam-6336	145	51	,	,	PUNCT
ejpam-6336	145	52	p	p	NOUN
ejpam-6336	145	53	∗	∗	NOUN
ejpam-6336	145	54	=	=	SYM
ejpam-6336	145	55	0	0	NUM
ejpam-6336	145	56	,	,	PUNCT
ejpam-6336	145	57	and	and	CCONJ
ejpam-6336	145	58	a∗	a∗	PROPN
ejpam-6336	145	59	=	=	SYM
ejpam-6336	145	60	0	0	NUM
ejpam-6336	145	61	,	,	PUNCT
ejpam-6336	145	62	is	be	AUX
ejpam-6336	145	63	locally	locally	ADV
ejpam-6336	145	64	asymptotically	asymptotically	ADV
ejpam-6336	145	65	stable	stable	ADJ
ejpam-6336	145	66	if	if	SCONJ
ejpam-6336	145	67	the	the	DET
ejpam-6336	145	68	basic	basic	ADJ
ejpam-6336	145	69	reproduction	reproduction	NOUN
ejpam-6336	145	70	number	number	NOUN
ejpam-6336	145	71	r0	r0	NOUN
ejpam-6336	145	72	<	<	X
ejpam-6336	145	73	1	1	NUM
ejpam-6336	145	74	and	and	CCONJ
ejpam-6336	145	75	unstable	unstable	ADJ
ejpam-6336	145	76	if	if	SCONJ
ejpam-6336	145	77	r0	r0	NOUN
ejpam-6336	145	78	>	>	X
ejpam-6336	145	79	1	1	NUM
ejpam-6336	145	80	.	.	PUNCT
ejpam-6336	146	1	s.	s.	PROPN
ejpam-6336	146	2	ahmad	ahmad	PROPN
ejpam-6336	146	3	,	,	PUNCT
ejpam-6336	146	4	n.	n.	PROPN
ejpam-6336	146	5	ahmad	ahmad	PROPN
ejpam-6336	146	6	,	,	PUNCT
ejpam-6336	146	7	i.	i.	PROPN
ejpam-6336	146	8	shah	shah	PROPN
ejpam-6336	146	9	/	/	SYM
ejpam-6336	146	10	eur	eur	PROPN
ejpam-6336	146	11	.	.	PUNCT
ejpam-6336	147	1	j.	j.	PROPN
ejpam-6336	147	2	pure	pure	PROPN
ejpam-6336	147	3	appl	appl	PROPN
ejpam-6336	147	4	.	.	PROPN
ejpam-6336	147	5	math	math	PROPN
ejpam-6336	147	6	,	,	PUNCT
ejpam-6336	147	7	18	18	NUM
ejpam-6336	147	8	(	(	PUNCT
ejpam-6336	147	9	3	3	NUM
ejpam-6336	147	10	)	)	PUNCT
ejpam-6336	147	11	(	(	PUNCT
ejpam-6336	147	12	2025	2025	NUM
ejpam-6336	147	13	)	)	PUNCT
ejpam-6336	147	14	,	,	PUNCT
ejpam-6336	147	15	6336	6336	NUM
ejpam-6336	147	16	13	13	NUM
ejpam-6336	147	17	of	of	ADP
ejpam-6336	147	18	24	24	NUM
ejpam-6336	147	19	proof	proof	NOUN
ejpam-6336	147	20	.	.	PUNCT
ejpam-6336	148	1	to	to	PART
ejpam-6336	148	2	analyze	analyze	VERB
ejpam-6336	148	3	the	the	DET
ejpam-6336	148	4	local	local	ADJ
ejpam-6336	148	5	stability	stability	NOUN
ejpam-6336	148	6	of	of	ADP
ejpam-6336	148	7	e0	e0	PROPN
ejpam-6336	148	8	,	,	PUNCT
ejpam-6336	148	9	we	we	PRON
ejpam-6336	148	10	compute	compute	VERB
ejpam-6336	148	11	the	the	DET
ejpam-6336	148	12	jacobian	jacobian	ADJ
ejpam-6336	148	13	matrix	matrix	NOUN
ejpam-6336	148	14	j	j	PROPN
ejpam-6336	148	15	of	of	ADP
ejpam-6336	148	16	the	the	DET
ejpam-6336	148	17	system	system	NOUN
ejpam-6336	148	18	at	at	ADP
ejpam-6336	148	19	e0	e0	PROPN
ejpam-6336	148	20	.	.	PUNCT
ejpam-6336	149	1	the	the	DET
ejpam-6336	149	2	jacobian	jacobian	PROPN
ejpam-6336	149	3	is	be	AUX
ejpam-6336	149	4	given	give	VERB
ejpam-6336	149	5	by	by	ADP
ejpam-6336	149	6	:	:	PUNCT
ejpam-6336	149	7	j(e0	j(e0	ADJ
ejpam-6336	149	8	)	)	PUNCT
ejpam-6336	149	9	=	=	SYM
ejpam-6336	149	10			NOUN
ejpam-6336	149	11	−µ	−µ	NOUN
ejpam-6336	149	12	0	0	NUM
ejpam-6336	149	13	−β1s	−β1s	NOUN
ejpam-6336	149	14	∗	∗	NOUN
ejpam-6336	149	15	−β2s	−β2s	NUM
ejpam-6336	149	16	∗	∗	NOUN
ejpam-6336	149	17	ω	ω	NOUN
ejpam-6336	149	18	0	0	NUM
ejpam-6336	149	19	0	0	NUM
ejpam-6336	149	20	0	0	NUM
ejpam-6336	149	21	0	0	NUM
ejpam-6336	150	1	−(α+	−(α+	NUM
ejpam-6336	150	2	µ	µ	NOUN
ejpam-6336	150	3	)	)	PUNCT
ejpam-6336	150	4	β1s	β1s	PUNCT
ejpam-6336	151	1	∗	∗	NOUN
ejpam-6336	151	2	β2s	β2s	X
ejpam-6336	151	3	∗	∗	NOUN
ejpam-6336	151	4	0	0	NUM
ejpam-6336	151	5	0	0	NUM
ejpam-6336	151	6	0	0	NUM
ejpam-6336	151	7	0	0	NUM
ejpam-6336	151	8	0	0	NUM
ejpam-6336	152	1	α	α	PRON
ejpam-6336	152	2	−(γ	−(γ	ADJ
ejpam-6336	152	3	+	+	CCONJ
ejpam-6336	152	4	δ	δ	PROPN
ejpam-6336	152	5	+	+	X
ejpam-6336	152	6	µ	µ	X
ejpam-6336	152	7	)	)	PUNCT
ejpam-6336	152	8	0	0	NUM
ejpam-6336	152	9	0	0	NUM
ejpam-6336	152	10	0	0	NUM
ejpam-6336	152	11	0	0	NUM
ejpam-6336	152	12	0	0	NUM
ejpam-6336	152	13	0	0	NUM
ejpam-6336	152	14	0	0	NUM
ejpam-6336	152	15	ρ	ρ	NUM
ejpam-6336	152	16	−(σ	−(σ	NOUN
ejpam-6336	152	17	+	+	X
ejpam-6336	152	18	µ	µ	X
ejpam-6336	152	19	)	)	PUNCT
ejpam-6336	152	20	0	0	NUM
ejpam-6336	152	21	0	0	NUM
ejpam-6336	152	22	0	0	NUM
ejpam-6336	152	23	0	0	NUM
ejpam-6336	152	24	0	0	NUM
ejpam-6336	152	25	0	0	NUM
ejpam-6336	152	26	γ	γ	X
ejpam-6336	152	27	0	0	NUM
ejpam-6336	152	28	−(ω	−(ω	NOUN
ejpam-6336	152	29	+	+	X
ejpam-6336	152	30	µ	µ	X
ejpam-6336	152	31	)	)	PUNCT
ejpam-6336	152	32	0	0	NUM
ejpam-6336	152	33	0	0	NUM
ejpam-6336	152	34	0	0	NUM
ejpam-6336	152	35	0	0	NUM
ejpam-6336	152	36	0	0	NUM
ejpam-6336	152	37	0	0	NUM
ejpam-6336	152	38	σ	σ	NOUN
ejpam-6336	152	39	0	0	NUM
ejpam-6336	152	40	−µ	−µ	ADJ
ejpam-6336	152	41	η	η	PROPN
ejpam-6336	152	42	0	0	PROPN
ejpam-6336	152	43	0	0	NUM
ejpam-6336	152	44	0	0	NUM
ejpam-6336	152	45	δ	δ	NOUN
ejpam-6336	152	46	0	0	NUM
ejpam-6336	152	47	0	0	SYM
ejpam-6336	152	48	0	0	NUM
ejpam-6336	152	49	−η	−η	NOUN
ejpam-6336	152	50	0	0	NUM
ejpam-6336	152	51	0	0	NUM
ejpam-6336	152	52	0	0	NUM
ejpam-6336	152	53	κ	κ	NOUN
ejpam-6336	152	54	0	0	NUM
ejpam-6336	152	55	0	0	NUM
ejpam-6336	152	56	0	0	NUM
ejpam-6336	152	57	0	0	NUM
ejpam-6336	152	58	−λ	−λ	PROPN
ejpam-6336	152	59			NUM
ejpam-6336	152	60	.	.	PUNCT
ejpam-6336	153	1	(	(	PUNCT
ejpam-6336	153	2	8)	8)	NUM
ejpam-6336	153	3	the	the	DET
ejpam-6336	153	4	stability	stability	NOUN
ejpam-6336	153	5	of	of	ADP
ejpam-6336	153	6	e0	e0	PROPN
ejpam-6336	153	7	depends	depend	VERB
ejpam-6336	153	8	on	on	ADP
ejpam-6336	153	9	the	the	DET
ejpam-6336	153	10	eigenvalues	eigenvalue	NOUN
ejpam-6336	153	11	of	of	ADP
ejpam-6336	153	12	j(e0	j(e0	NOUN
ejpam-6336	153	13	)	)	PUNCT
ejpam-6336	153	14	,	,	PUNCT
ejpam-6336	153	15	determined	determine	VERB
ejpam-6336	153	16	by	by	ADP
ejpam-6336	153	17	solving	solve	VERB
ejpam-6336	153	18	:	:	PUNCT
ejpam-6336	153	19	det(j(e0)−	det(j(e0)−	PROPN
ejpam-6336	153	20	λi	λi	X
ejpam-6336	153	21	)	)	PUNCT
ejpam-6336	153	22	=	=	SYM
ejpam-6336	153	23	0	0	X
ejpam-6336	153	24	.	.	PUNCT
ejpam-6336	154	1	(	(	PUNCT
ejpam-6336	154	2	9	9	NUM
ejpam-6336	154	3	)	)	PUNCT
ejpam-6336	154	4	from	from	ADP
ejpam-6336	154	5	the	the	DET
ejpam-6336	154	6	structure	structure	NOUN
ejpam-6336	154	7	of	of	ADP
ejpam-6336	154	8	j(e0	j(e0	ADJ
ejpam-6336	154	9	)	)	PUNCT
ejpam-6336	154	10	,	,	PUNCT
ejpam-6336	154	11	it	it	PRON
ejpam-6336	154	12	is	be	AUX
ejpam-6336	154	13	evident	evident	ADJ
ejpam-6336	154	14	that	that	SCONJ
ejpam-6336	154	15	the	the	DET
ejpam-6336	154	16	eigenvalues	eigenvalue	NOUN
ejpam-6336	154	17	corresponding	correspond	VERB
ejpam-6336	154	18	to	to	ADP
ejpam-6336	154	19	the	the	DET
ejpam-6336	154	20	non	non	ADJ
ejpam-6336	154	21	-	-	ADJ
ejpam-6336	154	22	infected	infected	ADJ
ejpam-6336	154	23	compartments	compartment	NOUN
ejpam-6336	154	24	(	(	PUNCT
ejpam-6336	154	25	s	s	X
ejpam-6336	154	26	,	,	PUNCT
ejpam-6336	154	27	r	r	NOUN
ejpam-6336	154	28	,	,	PUNCT
ejpam-6336	154	29	p	p	X
ejpam-6336	154	30	,	,	PUNCT
ejpam-6336	154	31	a	a	PRON
ejpam-6336	154	32	)	)	PUNCT
ejpam-6336	154	33	are	be	AUX
ejpam-6336	154	34	negative	negative	ADJ
ejpam-6336	154	35	due	due	ADP
ejpam-6336	154	36	to	to	ADP
ejpam-6336	154	37	the	the	DET
ejpam-6336	154	38	natural	natural	ADJ
ejpam-6336	154	39	removal	removal	NOUN
ejpam-6336	154	40	rates	rate	NOUN
ejpam-6336	154	41	(	(	PUNCT
ejpam-6336	154	42	µ	µ	NUM
ejpam-6336	154	43	,	,	PUNCT
ejpam-6336	154	44	ω	ω	PROPN
ejpam-6336	154	45	,	,	PUNCT
ejpam-6336	154	46	λ	λ	PROPN
ejpam-6336	154	47	,	,	PUNCT
ejpam-6336	154	48	η	η	NOUN
ejpam-6336	154	49	)	)	PUNCT
ejpam-6336	154	50	.	.	PUNCT
ejpam-6336	155	1	the	the	DET
ejpam-6336	155	2	crucial	crucial	ADJ
ejpam-6336	155	3	stability	stability	NOUN
ejpam-6336	155	4	condition	condition	NOUN
ejpam-6336	155	5	is	be	AUX
ejpam-6336	155	6	derived	derive	VERB
ejpam-6336	155	7	from	from	ADP
ejpam-6336	155	8	the	the	DET
ejpam-6336	155	9	infected	infected	ADJ
ejpam-6336	155	10	compartments	compartment	NOUN
ejpam-6336	155	11	(	(	PUNCT
ejpam-6336	155	12	e	e	NOUN
ejpam-6336	155	13	,	,	PUNCT
ejpam-6336	155	14	i	i	PRON
ejpam-6336	155	15	,	,	PUNCT
ejpam-6336	155	16	c	c	X
ejpam-6336	155	17	,	,	PUNCT
ejpam-6336	155	18	d	d	NOUN
ejpam-6336	155	19	)	)	PUNCT
ejpam-6336	155	20	.	.	PUNCT
ejpam-6336	156	1	using	use	VERB
ejpam-6336	156	2	the	the	DET
ejpam-6336	156	3	next	next	ADJ
ejpam-6336	156	4	-	-	PUNCT
ejpam-6336	156	5	generation	generation	NOUN
ejpam-6336	156	6	matrix	matrix	NOUN
ejpam-6336	156	7	method	method	NOUN
ejpam-6336	156	8	,	,	PUNCT
ejpam-6336	156	9	the	the	DET
ejpam-6336	156	10	dominant	dominant	ADJ
ejpam-6336	156	11	eigenvalue	eigenvalue	ADJ
ejpam-6336	156	12	satisfies	satisfie	NOUN
ejpam-6336	156	13	:	:	PUNCT
ejpam-6336	156	14	λmax	λmax	NOUN
ejpam-6336	156	15	=	=	SYM
ejpam-6336	156	16	(	(	PUNCT
ejpam-6336	156	17	α+	α+	X
ejpam-6336	156	18	µ)(r0	µ)(r0	NOUN
ejpam-6336	156	19	−	−	NOUN
ejpam-6336	156	20	1	1	NUM
ejpam-6336	156	21	)	)	PUNCT
ejpam-6336	156	22	.	.	PUNCT
ejpam-6336	157	1	(	(	PUNCT
ejpam-6336	157	2	10	10	NUM
ejpam-6336	157	3	)	)	PUNCT
ejpam-6336	157	4	if	if	SCONJ
ejpam-6336	157	5	r0	r0	NOUN
ejpam-6336	157	6	<	<	X
ejpam-6336	157	7	1	1	NUM
ejpam-6336	157	8	,	,	PUNCT
ejpam-6336	157	9	then	then	ADV
ejpam-6336	157	10	λmax	λmax	X
ejpam-6336	157	11	<	<	X
ejpam-6336	157	12	0	0	NUM
ejpam-6336	157	13	,	,	PUNCT
ejpam-6336	157	14	ensuring	ensure	VERB
ejpam-6336	157	15	all	all	DET
ejpam-6336	157	16	eigenvalues	eigenvalue	NOUN
ejpam-6336	157	17	have	have	VERB
ejpam-6336	157	18	negative	negative	ADJ
ejpam-6336	157	19	real	real	ADJ
ejpam-6336	157	20	parts	part	NOUN
ejpam-6336	157	21	,	,	PUNCT
ejpam-6336	157	22	leading	lead	VERB
ejpam-6336	157	23	to	to	ADP
ejpam-6336	157	24	local	local	ADJ
ejpam-6336	157	25	asymptotic	asymptotic	ADJ
ejpam-6336	157	26	stability	stability	NOUN
ejpam-6336	157	27	of	of	ADP
ejpam-6336	157	28	e0	e0	PROPN
ejpam-6336	157	29	.	.	PUNCT
ejpam-6336	158	1	if	if	SCONJ
ejpam-6336	158	2	r0	r0	NOUN
ejpam-6336	158	3	>	>	X
ejpam-6336	158	4	1	1	NUM
ejpam-6336	158	5	,	,	PUNCT
ejpam-6336	158	6	then	then	ADV
ejpam-6336	158	7	λmax	λmax	AUX
ejpam-6336	158	8	>	>	X
ejpam-6336	158	9	0	0	NUM
ejpam-6336	158	10	,	,	PUNCT
ejpam-6336	158	11	indicating	indicate	VERB
ejpam-6336	158	12	instability	instability	NOUN
ejpam-6336	158	13	of	of	ADP
ejpam-6336	158	14	e0	e0	PROPN
ejpam-6336	158	15	.	.	PUNCT
ejpam-6336	159	1	thus	thus	ADV
ejpam-6336	159	2	,	,	PUNCT
ejpam-6336	159	3	the	the	DET
ejpam-6336	159	4	virus	virus	NOUN
ejpam-6336	159	5	-	-	PUNCT
ejpam-6336	159	6	free	free	ADJ
ejpam-6336	159	7	equilibrium	equilibrium	NOUN
ejpam-6336	159	8	is	be	AUX
ejpam-6336	159	9	locally	locally	ADV
ejpam-6336	159	10	asymptotically	asymptotically	ADV
ejpam-6336	159	11	stable	stable	ADJ
ejpam-6336	159	12	if	if	SCONJ
ejpam-6336	159	13	r0	r0	NOUN
ejpam-6336	159	14	<	<	X
ejpam-6336	159	15	1	1	NUM
ejpam-6336	159	16	and	and	CCONJ
ejpam-6336	159	17	unstable	unstable	ADJ
ejpam-6336	159	18	if	if	SCONJ
ejpam-6336	159	19	r0	r0	NOUN
ejpam-6336	159	20	>	>	X
ejpam-6336	159	21	1	1	X
ejpam-6336	159	22	.	.	PUNCT
ejpam-6336	159	23	remark	remark	NOUN
ejpam-6336	159	24	1	1	NUM
ejpam-6336	159	25	.	.	PUNCT
ejpam-6336	160	1	this	this	DET
ejpam-6336	160	2	result	result	NOUN
ejpam-6336	160	3	highlights	highlight	VERB
ejpam-6336	160	4	that	that	SCONJ
ejpam-6336	160	5	a	a	DET
ejpam-6336	160	6	virus	virus	NOUN
ejpam-6336	160	7	-	-	PUNCT
ejpam-6336	160	8	free	free	ADJ
ejpam-6336	160	9	equilibrium	equilibrium	NOUN
ejpam-6336	160	10	state	state	NOUN
ejpam-6336	160	11	in	in	ADP
ejpam-6336	160	12	a	a	DET
ejpam-6336	160	13	computer	computer	NOUN
ejpam-6336	160	14	network	network	NOUN
ejpam-6336	160	15	is	be	AUX
ejpam-6336	160	16	achievable	achievable	ADJ
ejpam-6336	160	17	only	only	ADV
ejpam-6336	160	18	if	if	SCONJ
ejpam-6336	160	19	the	the	DET
ejpam-6336	160	20	basic	basic	ADJ
ejpam-6336	160	21	reproduction	reproduction	NOUN
ejpam-6336	160	22	number	number	NOUN
ejpam-6336	160	23	r0	r0	NOUN
ejpam-6336	160	24	remains	remain	VERB
ejpam-6336	160	25	below	below	ADP
ejpam-6336	160	26	unity	unity	NOUN
ejpam-6336	160	27	.	.	PUNCT
ejpam-6336	161	1	if	if	SCONJ
ejpam-6336	161	2	r0	r0	NOUN
ejpam-6336	161	3	>	>	X
ejpam-6336	161	4	1	1	NUM
ejpam-6336	161	5	,	,	PUNCT
ejpam-6336	161	6	malware	malware	NOUN
ejpam-6336	161	7	persists	persist	VERB
ejpam-6336	161	8	in	in	ADP
ejpam-6336	161	9	the	the	DET
ejpam-6336	161	10	network	network	NOUN
ejpam-6336	161	11	,	,	PUNCT
ejpam-6336	161	12	necessitating	necessitating	NOUN
ejpam-6336	161	13	proactive	proactive	ADJ
ejpam-6336	161	14	cybersecurity	cybersecurity	NOUN
ejpam-6336	161	15	measures	measure	NOUN
ejpam-6336	161	16	such	such	ADJ
ejpam-6336	161	17	as	as	ADP
ejpam-6336	161	18	network	network	NOUN
ejpam-6336	161	19	segmentation	segmentation	NOUN
ejpam-6336	161	20	,	,	PUNCT
ejpam-6336	161	21	real	real	ADJ
ejpam-6336	161	22	-	-	PUNCT
ejpam-6336	161	23	time	time	NOUN
ejpam-6336	161	24	threat	threat	NOUN
ejpam-6336	161	25	detection	detection	NOUN
ejpam-6336	161	26	,	,	PUNCT
ejpam-6336	161	27	and	and	CCONJ
ejpam-6336	161	28	rapid	rapid	ADJ
ejpam-6336	161	29	patch	patch	NOUN
ejpam-6336	161	30	deployment	deployment	NOUN
ejpam-6336	161	31	to	to	PART
ejpam-6336	161	32	mitigate	mitigate	VERB
ejpam-6336	161	33	the	the	DET
ejpam-6336	161	34	attack	attack	NOUN
ejpam-6336	161	35	spread	spread	VERB
ejpam-6336	161	36	.	.	PUNCT
ejpam-6336	162	1	9	9	X
ejpam-6336	162	2	.	.	X
ejpam-6336	162	3	global	global	ADJ
ejpam-6336	162	4	stability	stability	NOUN
ejpam-6336	162	5	of	of	ADP
ejpam-6336	162	6	the	the	DET
ejpam-6336	162	7	virus	virus	NOUN
ejpam-6336	162	8	-	-	PUNCT
ejpam-6336	162	9	free	free	ADJ
ejpam-6336	162	10	equilibrium	equilibrium	NOUN
ejpam-6336	162	11	theorem	theorem	NOUN
ejpam-6336	162	12	3	3	X
ejpam-6336	162	13	.	.	PUNCT
ejpam-6336	162	14	suppose	suppose	VERB
ejpam-6336	162	15	that	that	SCONJ
ejpam-6336	162	16	the	the	DET
ejpam-6336	162	17	basic	basic	ADJ
ejpam-6336	162	18	reproduction	reproduction	NOUN
ejpam-6336	162	19	number	number	NOUN
ejpam-6336	162	20	r0	r0	NOUN
ejpam-6336	162	21	<	<	X
ejpam-6336	162	22	1	1	NUM
ejpam-6336	162	23	.	.	PUNCT
ejpam-6336	162	24	then	then	ADV
ejpam-6336	162	25	the	the	DET
ejpam-6336	162	26	virus	virus	NOUN
ejpam-6336	162	27	-	-	PUNCT
ejpam-6336	162	28	free	free	ADJ
ejpam-6336	162	29	equilibrium	equilibrium	NOUN
ejpam-6336	162	30	e0	e0	PROPN
ejpam-6336	162	31	=	=	PUNCT
ejpam-6336	162	32	(	(	PUNCT
ejpam-6336	162	33	s∗	s∗	PROPN
ejpam-6336	162	34	,	,	PUNCT
ejpam-6336	162	35	e∗	e∗	NOUN
ejpam-6336	162	36	,	,	PUNCT
ejpam-6336	162	37	i∗	i∗	NOUN
ejpam-6336	162	38	,	,	PUNCT
ejpam-6336	162	39	c∗	c∗	PROPN
ejpam-6336	162	40	,	,	PUNCT
ejpam-6336	162	41	r∗	r∗	PROPN
ejpam-6336	162	42	,	,	PUNCT
ejpam-6336	162	43	p	p	NOUN
ejpam-6336	162	44	∗	∗	NOUN
ejpam-6336	162	45	,	,	PUNCT
ejpam-6336	162	46	d∗	d∗	PROPN
ejpam-6336	162	47	,	,	PUNCT
ejpam-6336	162	48	a∗	a∗	NOUN
ejpam-6336	162	49	)	)	PUNCT
ejpam-6336	162	50	=	=	PUNCT
ejpam-6336	162	51	(	(	PUNCT
ejpam-6336	162	52	λ	λ	X
ejpam-6336	162	53	µ	µ	X
ejpam-6336	162	54	,	,	PUNCT
ejpam-6336	162	55	0	0	NUM
ejpam-6336	162	56	,	,	PUNCT
ejpam-6336	162	57	0	0	NUM
ejpam-6336	162	58	,	,	PUNCT
ejpam-6336	162	59	0	0	NUM
ejpam-6336	162	60	,	,	PUNCT
ejpam-6336	162	61	0	0	NUM
ejpam-6336	162	62	,	,	PUNCT
ejpam-6336	162	63	0	0	NUM
ejpam-6336	162	64	,	,	PUNCT
ejpam-6336	162	65	0	0	NUM
ejpam-6336	162	66	,	,	PUNCT
ejpam-6336	162	67	0	0	NUM
ejpam-6336	162	68	)	)	PUNCT
ejpam-6336	162	69	of	of	ADP
ejpam-6336	162	70	the	the	DET
ejpam-6336	162	71	system	system	NOUN
ejpam-6336	162	72	is	be	AUX
ejpam-6336	162	73	globally	globally	ADV
ejpam-6336	162	74	asymptotically	asymptotically	ADV
ejpam-6336	162	75	stable	stable	ADJ
ejpam-6336	162	76	in	in	ADP
ejpam-6336	162	77	the	the	DET
ejpam-6336	162	78	feasible	feasible	ADJ
ejpam-6336	162	79	region	region	NOUN
ejpam-6336	162	80	r8	r8	PROPN
ejpam-6336	162	81	+	+	PROPN
ejpam-6336	162	82	.	.	PUNCT
ejpam-6336	162	83	s.	s.	PROPN
ejpam-6336	162	84	ahmad	ahmad	PROPN
ejpam-6336	162	85	,	,	PUNCT
ejpam-6336	162	86	n.	n.	PROPN
ejpam-6336	162	87	ahmad	ahmad	PROPN
ejpam-6336	162	88	,	,	PUNCT
ejpam-6336	162	89	i.	i.	PROPN
ejpam-6336	162	90	shah	shah	PROPN
ejpam-6336	162	91	/	/	SYM
ejpam-6336	162	92	eur	eur	PROPN
ejpam-6336	162	93	.	.	PUNCT
ejpam-6336	163	1	j.	j.	PROPN
ejpam-6336	163	2	pure	pure	PROPN
ejpam-6336	163	3	appl	appl	PROPN
ejpam-6336	163	4	.	.	PROPN
ejpam-6336	163	5	math	math	PROPN
ejpam-6336	163	6	,	,	PUNCT
ejpam-6336	163	7	18	18	NUM
ejpam-6336	163	8	(	(	PUNCT
ejpam-6336	163	9	3	3	NUM
ejpam-6336	163	10	)	)	PUNCT
ejpam-6336	163	11	(	(	PUNCT
ejpam-6336	163	12	2025	2025	NUM
ejpam-6336	163	13	)	)	PUNCT
ejpam-6336	163	14	,	,	PUNCT
ejpam-6336	163	15	6336	6336	NUM
ejpam-6336	163	16	14	14	NUM
ejpam-6336	163	17	of	of	ADP
ejpam-6336	163	18	24	24	NUM
ejpam-6336	163	19	proof	proof	NOUN
ejpam-6336	163	20	.	.	PUNCT
ejpam-6336	164	1	we	we	PRON
ejpam-6336	164	2	define	define	VERB
ejpam-6336	164	3	the	the	DET
ejpam-6336	164	4	following	follow	VERB
ejpam-6336	164	5	lyapunov	lyapunov	NOUN
ejpam-6336	164	6	function	function	NOUN
ejpam-6336	164	7	:	:	PUNCT
ejpam-6336	164	8	v	v	X
ejpam-6336	164	9	=	=	SYM
ejpam-6336	164	10	1	1	NUM
ejpam-6336	164	11	2	2	NUM
ejpam-6336	164	12	∑	∑	SYM
ejpam-6336	164	13	x∈{s	x∈{s	NUM
ejpam-6336	164	14	,	,	PUNCT
ejpam-6336	164	15	e	e	NOUN
ejpam-6336	164	16	,	,	PUNCT
ejpam-6336	164	17	i	i	PRON
ejpam-6336	164	18	,	,	PUNCT
ejpam-6336	164	19	c	c	X
ejpam-6336	164	20	,	,	PUNCT
ejpam-6336	164	21	r	r	NOUN
ejpam-6336	164	22	,	,	PUNCT
ejpam-6336	164	23	p	p	X
ejpam-6336	164	24	,	,	PUNCT
ejpam-6336	164	25	d	d	PROPN
ejpam-6336	164	26	,	,	PUNCT
ejpam-6336	164	27	a	a	PRON
ejpam-6336	164	28	}	}	PUNCT
ejpam-6336	164	29	(	(	PUNCT
ejpam-6336	164	30	x	x	SYM
ejpam-6336	164	31	−x∗)2	−x∗)2	PROPN
ejpam-6336	164	32	(	(	PUNCT
ejpam-6336	164	33	11	11	NUM
ejpam-6336	164	34	)	)	PUNCT
ejpam-6336	164	35	this	this	DET
ejpam-6336	164	36	function	function	NOUN
ejpam-6336	164	37	is	be	AUX
ejpam-6336	164	38	positive	positive	ADJ
ejpam-6336	164	39	definite	definite	ADJ
ejpam-6336	164	40	and	and	CCONJ
ejpam-6336	164	41	radially	radially	ADV
ejpam-6336	164	42	unbounded	unbounded	ADJ
ejpam-6336	164	43	with	with	ADP
ejpam-6336	164	44	respect	respect	NOUN
ejpam-6336	164	45	to	to	ADP
ejpam-6336	164	46	the	the	DET
ejpam-6336	164	47	equilibrium	equilibrium	NOUN
ejpam-6336	164	48	point	point	NOUN
ejpam-6336	164	49	e0	e0	PROPN
ejpam-6336	164	50	.	.	PUNCT
ejpam-6336	165	1	differentiating	differentiate	VERB
ejpam-6336	165	2	v	v	NOUN
ejpam-6336	165	3	along	along	ADP
ejpam-6336	165	4	the	the	DET
ejpam-6336	165	5	trajectories	trajectory	NOUN
ejpam-6336	165	6	of	of	ADP
ejpam-6336	165	7	the	the	DET
ejpam-6336	165	8	system	system	NOUN
ejpam-6336	165	9	:	:	PUNCT
ejpam-6336	165	10	dv	dv	PROPN
ejpam-6336	165	11	dt	dt	X
ejpam-6336	166	1	=	=	PUNCT
ejpam-6336	166	2	(	(	PUNCT
ejpam-6336	166	3	s	s	NOUN
ejpam-6336	166	4	−	−	PROPN
ejpam-6336	166	5	s∗	s∗	PROPN
ejpam-6336	166	6	)	)	PUNCT
ejpam-6336	166	7	ds	ds	ADP
ejpam-6336	166	8	dt	dt	NOUN
ejpam-6336	166	9	+	+	CCONJ
ejpam-6336	166	10	(	(	PUNCT
ejpam-6336	166	11	e	e	NOUN
ejpam-6336	166	12	−	−	PROPN
ejpam-6336	166	13	e∗	e∗	NOUN
ejpam-6336	166	14	)	)	PUNCT
ejpam-6336	166	15	de	de	ADP
ejpam-6336	166	16	dt	dt	X
ejpam-6336	167	1	+	+	CCONJ
ejpam-6336	167	2	.	.	PUNCT
ejpam-6336	167	3	.	.	PUNCT
ejpam-6336	168	1	.+	.+	NOUN
ejpam-6336	168	2	(	(	PUNCT
ejpam-6336	168	3	a−a∗	a−a∗	PROPN
ejpam-6336	168	4	)	)	PUNCT
ejpam-6336	168	5	da	da	PROPN
ejpam-6336	168	6	dt	dt	NOUN
ejpam-6336	168	7	.	.	PUNCT
ejpam-6336	169	1	substituting	substitute	VERB
ejpam-6336	169	2	the	the	DET
ejpam-6336	169	3	system	system	NOUN
ejpam-6336	169	4	equations	equation	NOUN
ejpam-6336	169	5	and	and	CCONJ
ejpam-6336	169	6	using	use	VERB
ejpam-6336	169	7	the	the	DET
ejpam-6336	169	8	fact	fact	NOUN
ejpam-6336	169	9	that	that	SCONJ
ejpam-6336	169	10	at	at	ADP
ejpam-6336	169	11	the	the	DET
ejpam-6336	169	12	virus	virus	NOUN
ejpam-6336	169	13	-	-	PUNCT
ejpam-6336	169	14	free	free	ADJ
ejpam-6336	169	15	equilibrium	equilibrium	NOUN
ejpam-6336	169	16	all	all	DET
ejpam-6336	169	17	variables	variable	NOUN
ejpam-6336	169	18	except	except	SCONJ
ejpam-6336	169	19	s∗	s∗	PROPN
ejpam-6336	169	20	=	=	PUNCT
ejpam-6336	169	21	λ/µ	λ/µ	PRON
ejpam-6336	169	22	vanish	vanish	VERB
ejpam-6336	169	23	,	,	PUNCT
ejpam-6336	169	24	we	we	PRON
ejpam-6336	169	25	obtain	obtain	VERB
ejpam-6336	169	26	:	:	PUNCT
ejpam-6336	170	1	dv	dv	PROPN
ejpam-6336	170	2	dt	dt	X
ejpam-6336	171	1	=	=	PUNCT
ejpam-6336	171	2	(	(	PUNCT
ejpam-6336	171	3	s	s	NOUN
ejpam-6336	171	4	−	−	PROPN
ejpam-6336	171	5	s∗	s∗	PROPN
ejpam-6336	171	6	)	)	PUNCT
ejpam-6336	172	1	[	[	X
ejpam-6336	172	2	λ−	λ−	PROPN
ejpam-6336	172	3	µs	µs	ADP
ejpam-6336	172	4	−	−	PROPN
ejpam-6336	172	5	β1si	β1si	PUNCT
ejpam-6336	172	6	−	−	PROPN
ejpam-6336	172	7	β2sc	β2sc	PUNCT
ejpam-6336	172	8	+	+	CCONJ
ejpam-6336	172	9	ωr	ωr	ADP
ejpam-6336	172	10	]	]	X
ejpam-6336	172	11	+	+	NUM
ejpam-6336	172	12	e	e	X
ejpam-6336	172	13	[	[	X
ejpam-6336	172	14	β1si	β1si	X
ejpam-6336	172	15	+	+	CCONJ
ejpam-6336	172	16	β2sc	β2sc	PUNCT
ejpam-6336	172	17	−	−	PUNCT
ejpam-6336	172	18	(	(	PUNCT
ejpam-6336	172	19	α+	α+	X
ejpam-6336	172	20	µ)e	µ)e	NOUN
ejpam-6336	172	21	]	]	PUNCT
ejpam-6336	173	1	+	+	CCONJ
ejpam-6336	173	2	i	i	PRON
ejpam-6336	173	3	[	[	X
ejpam-6336	173	4	αe	αe	NUM
ejpam-6336	173	5	−	−	PROPN
ejpam-6336	173	6	(	(	PUNCT
ejpam-6336	173	7	γ	γ	X
ejpam-6336	173	8	+	+	PROPN
ejpam-6336	173	9	δ	δ	PROPN
ejpam-6336	173	10	+	+	CCONJ
ejpam-6336	173	11	µ)i	µ)i	X
ejpam-6336	173	12	+	+	X
ejpam-6336	173	13	θc	θc	VERB
ejpam-6336	173	14	]	]	X
ejpam-6336	174	1	+	+	NUM
ejpam-6336	174	2	c	c	X
ejpam-6336	175	1	[	[	X
ejpam-6336	175	2	ρi	ρi	X
ejpam-6336	175	3	−	−	PROPN
ejpam-6336	175	4	(	(	PUNCT
ejpam-6336	175	5	σ	σ	NOUN
ejpam-6336	175	6	+	+	X
ejpam-6336	175	7	µ)c	µ)c	X
ejpam-6336	175	8	]	]	X
ejpam-6336	176	1	+	+	PUNCT
ejpam-6336	176	2	r	r	NOUN
ejpam-6336	176	3	[	[	X
ejpam-6336	176	4	γi	γi	X
ejpam-6336	176	5	−	−	PROPN
ejpam-6336	176	6	(	(	PUNCT
ejpam-6336	176	7	ω	ω	NOUN
ejpam-6336	176	8	+	+	CCONJ
ejpam-6336	176	9	µ)r	µ)r	NOUN
ejpam-6336	176	10	]	]	X
ejpam-6336	177	1	+	+	CCONJ
ejpam-6336	177	2	p	p	X
ejpam-6336	178	1	[	[	X
ejpam-6336	178	2	σc	σc	NOUN
ejpam-6336	178	3	+	+	NOUN
ejpam-6336	178	4	ηd	ηd	NOUN
ejpam-6336	178	5	−	−	PROPN
ejpam-6336	178	6	µp	µp	NOUN
ejpam-6336	178	7	]	]	PUNCT
ejpam-6336	179	1	+	+	PUNCT
ejpam-6336	179	2	d	d	X
ejpam-6336	179	3	[	[	X
ejpam-6336	179	4	δi	δi	ADP
ejpam-6336	179	5	−	−	PROPN
ejpam-6336	179	6	ηd	ηd	NOUN
ejpam-6336	179	7	]	]	X
ejpam-6336	180	1	+	+	ADP
ejpam-6336	180	2	a	a	DET
ejpam-6336	180	3	[	[	X
ejpam-6336	180	4	κi	κi	NOUN
ejpam-6336	180	5	−	−	PROPN
ejpam-6336	180	6	λa	λa	X
ejpam-6336	180	7	]	]	PUNCT
ejpam-6336	180	8	.	.	PUNCT
ejpam-6336	181	1	all	all	DET
ejpam-6336	181	2	linear	linear	ADJ
ejpam-6336	181	3	and	and	CCONJ
ejpam-6336	181	4	bilinear	bilinear	ADJ
ejpam-6336	181	5	terms	term	NOUN
ejpam-6336	181	6	in	in	ADP
ejpam-6336	181	7	e	e	NOUN
ejpam-6336	181	8	,	,	PUNCT
ejpam-6336	181	9	i	i	PRON
ejpam-6336	181	10	,	,	PUNCT
ejpam-6336	181	11	c	c	X
ejpam-6336	181	12	,	,	PUNCT
ejpam-6336	181	13	r	r	NOUN
ejpam-6336	181	14	,	,	PUNCT
ejpam-6336	181	15	p	p	X
ejpam-6336	181	16	,	,	PUNCT
ejpam-6336	181	17	d	d	PROPN
ejpam-6336	181	18	,	,	PUNCT
ejpam-6336	181	19	a	a	PRON
ejpam-6336	181	20	are	be	AUX
ejpam-6336	181	21	negative	negative	ADJ
ejpam-6336	181	22	definite	definite	ADJ
ejpam-6336	181	23	under	under	ADP
ejpam-6336	181	24	the	the	DET
ejpam-6336	181	25	condition	condition	NOUN
ejpam-6336	181	26	r0	r0	NOUN
ejpam-6336	181	27	<	<	X
ejpam-6336	181	28	1	1	NUM
ejpam-6336	181	29	,	,	PUNCT
ejpam-6336	181	30	while	while	SCONJ
ejpam-6336	181	31	the	the	DET
ejpam-6336	181	32	term	term	NOUN
ejpam-6336	181	33	for	for	ADP
ejpam-6336	181	34	s	s	NOUN
ejpam-6336	181	35	remains	remain	NOUN
ejpam-6336	181	36	bounded	bound	VERB
ejpam-6336	181	37	due	due	ADP
ejpam-6336	181	38	to	to	PART
ejpam-6336	181	39	s	s	PROPN
ejpam-6336	181	40	tends	tend	VERB
ejpam-6336	181	41	to	to	PART
ejpam-6336	181	42	s∗	s∗	VERB
ejpam-6336	181	43	=	=	SYM
ejpam-6336	181	44	λ	λ	X
ejpam-6336	181	45	µ	µ	X
ejpam-6336	181	46	.	.	PUNCT
ejpam-6336	182	1	thus	thus	ADV
ejpam-6336	182	2	:	:	PUNCT
ejpam-6336	182	3	dv	dv	PROPN
ejpam-6336	182	4	dt	dt	PROPN
ejpam-6336	182	5	≤	≤	PROPN
ejpam-6336	182	6	−a1e	−a1e	NUM
ejpam-6336	182	7	2	2	NUM
ejpam-6336	182	8	−	−	NOUN
ejpam-6336	182	9	a2i	a2i	NOUN
ejpam-6336	182	10	2	2	NUM
ejpam-6336	182	11	−	−	NOUN
ejpam-6336	182	12	a3c	a3c	PUNCT
ejpam-6336	182	13	2	2	NUM
ejpam-6336	182	14	−	−	NOUN
ejpam-6336	182	15	a4r	a4r	PROPN
ejpam-6336	182	16	2	2	NUM
ejpam-6336	182	17	−	−	NOUN
ejpam-6336	182	18	a5p	a5p	ADV
ejpam-6336	182	19	2	2	NUM
ejpam-6336	182	20	−	−	PROPN
ejpam-6336	182	21	a6d	a6d	PRON
ejpam-6336	182	22	2	2	NUM
ejpam-6336	182	23	−	−	NOUN
ejpam-6336	182	24	a7a	a7a	PROPN
ejpam-6336	182	25	2	2	NUM
ejpam-6336	182	26	,	,	PUNCT
ejpam-6336	182	27	where	where	SCONJ
ejpam-6336	182	28	all	all	PRON
ejpam-6336	182	29	ai	ai	VERB
ejpam-6336	182	30	>	>	X
ejpam-6336	182	31	0	0	X
ejpam-6336	182	32	.	.	PUNCT
ejpam-6336	182	33	equality	equality	NOUN
ejpam-6336	182	34	holds	hold	VERB
ejpam-6336	182	35	if	if	SCONJ
ejpam-6336	182	36	and	and	CCONJ
ejpam-6336	182	37	only	only	ADV
ejpam-6336	182	38	if	if	SCONJ
ejpam-6336	182	39	all	all	DET
ejpam-6336	182	40	variables	variable	NOUN
ejpam-6336	182	41	are	be	AUX
ejpam-6336	182	42	at	at	ADP
ejpam-6336	182	43	equilibrium	equilibrium	NOUN
ejpam-6336	182	44	.	.	PUNCT
ejpam-6336	183	1	by	by	ADP
ejpam-6336	183	2	lasalle	lasalle	PROPN
ejpam-6336	183	3	’s	’s	PART
ejpam-6336	183	4	invariance	invariance	NOUN
ejpam-6336	183	5	principle	principle	NOUN
ejpam-6336	183	6	,	,	PUNCT
ejpam-6336	183	7	all	all	DET
ejpam-6336	183	8	trajectories	trajectory	NOUN
ejpam-6336	183	9	converge	converge	VERB
ejpam-6336	183	10	to	to	ADP
ejpam-6336	183	11	the	the	DET
ejpam-6336	183	12	equilibrium	equilibrium	NOUN
ejpam-6336	183	13	point	point	NOUN
ejpam-6336	183	14	e0	e0	PROPN
ejpam-6336	183	15	.	.	PUNCT
ejpam-6336	184	1	hence	hence	ADV
ejpam-6336	184	2	,	,	PUNCT
ejpam-6336	184	3	e0	e0	PROPN
ejpam-6336	184	4	is	be	AUX
ejpam-6336	184	5	globally	globally	ADV
ejpam-6336	184	6	asymptotically	asymptotically	ADV
ejpam-6336	184	7	stable	stable	ADJ
ejpam-6336	184	8	.	.	PUNCT
ejpam-6336	185	1	10	10	NUM
ejpam-6336	185	2	.	.	PUNCT
ejpam-6336	186	1	dynamical	dynamical	ADJ
ejpam-6336	186	2	behavior	behavior	NOUN
ejpam-6336	186	3	of	of	ADP
ejpam-6336	186	4	the	the	DET
ejpam-6336	186	5	model	model	NOUN
ejpam-6336	186	6	identifying	identify	VERB
ejpam-6336	186	7	the	the	DET
ejpam-6336	186	8	dynamic	dynamic	ADJ
ejpam-6336	186	9	behavior	behavior	NOUN
ejpam-6336	186	10	patterns	pattern	NOUN
ejpam-6336	186	11	of	of	ADP
ejpam-6336	186	12	cyberattack	cyberattack	NOUN
ejpam-6336	186	13	enables	enable	VERB
ejpam-6336	186	14	better	well	ADJ
ejpam-6336	186	15	prevention	prevention	NOUN
ejpam-6336	186	16	methods	method	NOUN
ejpam-6336	186	17	for	for	ADP
ejpam-6336	186	18	computer	computer	NOUN
ejpam-6336	186	19	networks	network	NOUN
ejpam-6336	186	20	.	.	PUNCT
ejpam-6336	187	1	the	the	DET
ejpam-6336	187	2	proposed	propose	VERB
ejpam-6336	187	3	model	model	NOUN
ejpam-6336	187	4	analyzes	analyze	VERB
ejpam-6336	187	5	the	the	DET
ejpam-6336	187	6	network	network	NOUN
ejpam-6336	187	7	node	node	NOUN
ejpam-6336	187	8	interactions	interaction	NOUN
ejpam-6336	187	9	among	among	ADP
ejpam-6336	187	10	different	different	ADJ
ejpam-6336	187	11	states	state	NOUN
ejpam-6336	187	12	i.e.	i.e.	X
ejpam-6336	187	13	infection	infection	NOUN
ejpam-6336	187	14	states	state	NOUN
ejpam-6336	187	15	,	,	PUNCT
ejpam-6336	187	16	protection	protection	NOUN
ejpam-6336	187	17	states	state	NOUN
ejpam-6336	187	18	,	,	PUNCT
ejpam-6336	187	19	recovery	recovery	NOUN
ejpam-6336	187	20	states	state	NOUN
ejpam-6336	187	21	and	and	CCONJ
ejpam-6336	187	22	attacker	attacker	NOUN
ejpam-6336	187	23	persistence	persistence	NOUN
ejpam-6336	187	24	states	state	NOUN
ejpam-6336	187	25	.	.	PUNCT
ejpam-6336	188	1	the	the	DET
ejpam-6336	188	2	changing	change	VERB
ejpam-6336	188	3	network	network	NOUN
ejpam-6336	188	4	parameters	parameter	NOUN
ejpam-6336	188	5	enable	enable	VERB
ejpam-6336	188	6	assessments	assessment	NOUN
ejpam-6336	188	7	of	of	ADP
ejpam-6336	188	8	system	system	NOUN
ejpam-6336	188	9	stability	stability	NOUN
ejpam-6336	188	10	and	and	CCONJ
ejpam-6336	188	11	evaluation	evaluation	NOUN
ejpam-6336	188	12	of	of	ADP
ejpam-6336	188	13	optimal	optimal	ADJ
ejpam-6336	188	14	control	control	NOUN
ejpam-6336	188	15	techniques	technique	NOUN
ejpam-6336	188	16	through	through	ADP
ejpam-6336	188	17	analysis	analysis	NOUN
ejpam-6336	188	18	of	of	ADP
ejpam-6336	188	19	system	system	NOUN
ejpam-6336	188	20	behavioral	behavioral	ADJ
ejpam-6336	188	21	responses	response	NOUN
ejpam-6336	188	22	.	.	PUNCT
ejpam-6336	189	1	we	we	PRON
ejpam-6336	189	2	illustrate	illustrate	VERB
ejpam-6336	189	3	these	these	DET
ejpam-6336	189	4	interactions	interaction	NOUN
ejpam-6336	189	5	through	through	ADP
ejpam-6336	189	6	phase	phase	NOUN
ejpam-6336	189	7	-	-	PUNCT
ejpam-6336	189	8	plane	plane	NOUN
ejpam-6336	189	9	diagrams	diagram	NOUN
ejpam-6336	189	10	that	that	SCONJ
ejpam-6336	189	11	how	how	SCONJ
ejpam-6336	189	12	they	they	PRON
ejpam-6336	189	13	evaluate	evaluate	VERB
ejpam-6336	189	14	over	over	ADP
ejpam-6336	189	15	time	time	NOUN
ejpam-6336	189	16	with	with	ADP
ejpam-6336	189	17	changing	change	VERB
ejpam-6336	189	18	variables	variable	NOUN
ejpam-6336	189	19	.	.	PUNCT
ejpam-6336	190	1	the	the	DET
ejpam-6336	190	2	following	follow	VERB
ejpam-6336	190	3	graphs	graph	NOUN
ejpam-6336	190	4	explain	explain	VERB
ejpam-6336	190	5	different	different	ADJ
ejpam-6336	190	6	aspects	aspect	NOUN
ejpam-6336	190	7	of	of	ADP
ejpam-6336	190	8	malware	malware	NOUN
ejpam-6336	190	9	propagation	propagation	NOUN
ejpam-6336	190	10	by	by	ADP
ejpam-6336	190	11	focusing	focus	VERB
ejpam-6336	190	12	on	on	ADP
ejpam-6336	190	13	botnet	botnet	NOUN
ejpam-6336	190	14	recruitment	recruitment	NOUN
ejpam-6336	190	15	,	,	PUNCT
ejpam-6336	190	16	malware	malware	NOUN
ejpam-6336	190	17	incubation	incubation	NOUN
ejpam-6336	190	18	,	,	PUNCT
ejpam-6336	190	19	security	security	NOUN
ejpam-6336	190	20	effectiveness	effectiveness	NOUN
ejpam-6336	190	21	and	and	CCONJ
ejpam-6336	190	22	attacker	attacker	NOUN
ejpam-6336	190	23	activities	activity	NOUN
ejpam-6336	190	24	.	.	PUNCT
ejpam-6336	191	1	s.	s.	PROPN
ejpam-6336	191	2	ahmad	ahmad	PROPN
ejpam-6336	191	3	,	,	PUNCT
ejpam-6336	191	4	n.	n.	PROPN
ejpam-6336	191	5	ahmad	ahmad	PROPN
ejpam-6336	191	6	,	,	PUNCT
ejpam-6336	191	7	i.	i.	PROPN
ejpam-6336	191	8	shah	shah	PROPN
ejpam-6336	191	9	/	/	SYM
ejpam-6336	191	10	eur	eur	PROPN
ejpam-6336	191	11	.	.	PUNCT
ejpam-6336	192	1	j.	j.	PROPN
ejpam-6336	192	2	pure	pure	PROPN
ejpam-6336	192	3	appl	appl	PROPN
ejpam-6336	192	4	.	.	PROPN
ejpam-6336	192	5	math	math	PROPN
ejpam-6336	192	6	,	,	PUNCT
ejpam-6336	192	7	18	18	NUM
ejpam-6336	192	8	(	(	PUNCT
ejpam-6336	192	9	3	3	NUM
ejpam-6336	192	10	)	)	PUNCT
ejpam-6336	192	11	(	(	PUNCT
ejpam-6336	192	12	2025	2025	NUM
ejpam-6336	192	13	)	)	PUNCT
ejpam-6336	192	14	,	,	PUNCT
ejpam-6336	192	15	6336	6336	NUM
ejpam-6336	192	16	15	15	NUM
ejpam-6336	192	17	of	of	ADP
ejpam-6336	192	18	24	24	NUM
ejpam-6336	192	19	table	table	NOUN
ejpam-6336	192	20	2	2	NUM
ejpam-6336	192	21	:	:	PUNCT
ejpam-6336	192	22	effect	effect	NOUN
ejpam-6336	192	23	of	of	ADP
ejpam-6336	192	24	actively	actively	ADV
ejpam-6336	192	25	spreading	spread	VERB
ejpam-6336	192	26	malware	malware	NOUN
ejpam-6336	192	27	nodes	node	NOUN
ejpam-6336	192	28	vs.	vs.	ADP
ejpam-6336	192	29	secured	secured	ADJ
ejpam-6336	192	30	and	and	CCONJ
ejpam-6336	192	31	immune	immune	ADJ
ejpam-6336	192	32	to	to	ADP
ejpam-6336	192	33	attacks	attack	NOUN
ejpam-6336	192	34	nodes	node	NOUN
ejpam-6336	192	35	simulation	simulation	NOUN
ejpam-6336	192	36	.	.	PUNCT
ejpam-6336	193	1	parameters	parameter	NOUN
ejpam-6336	193	2	time	time	NOUN
ejpam-6336	193	3	=	=	SYM
ejpam-6336	193	4	50	50	NUM
ejpam-6336	193	5	time	time	NOUN
ejpam-6336	193	6	=	=	SYM
ejpam-6336	193	7	100	100	NUM
ejpam-6336	193	8	β	β	X
ejpam-6336	193	9	δ	δ	NOUN
ejpam-6336	193	10	infected	infect	VERB
ejpam-6336	193	11	(	(	PUNCT
ejpam-6336	193	12	i	i	NOUN
ejpam-6336	193	13	)	)	PUNCT
ejpam-6336	193	14	protected	protect	VERB
ejpam-6336	193	15	(	(	PUNCT
ejpam-6336	193	16	p	p	NOUN
ejpam-6336	193	17	)	)	PUNCT
ejpam-6336	193	18	infected	infected	ADJ
ejpam-6336	193	19	(	(	PUNCT
ejpam-6336	193	20	i	i	NOUN
ejpam-6336	193	21	)	)	PUNCT
ejpam-6336	193	22	protected	protect	VERB
ejpam-6336	193	23	(	(	PUNCT
ejpam-6336	193	24	p	p	NOUN
ejpam-6336	193	25	)	)	PUNCT
ejpam-6336	193	26	0.1	0.1	NUM
ejpam-6336	193	27	0.01	0.01	NUM
ejpam-6336	193	28	125	125	NUM
ejpam-6336	193	29	800	800	NUM
ejpam-6336	193	30	80	80	NUM
ejpam-6336	193	31	900	900	NUM
ejpam-6336	193	32	0.7	0.7	NUM
ejpam-6336	193	33	0.03	0.03	NUM
ejpam-6336	193	34	500	500	NUM
ejpam-6336	193	35	450	450	NUM
ejpam-6336	193	36	350	350	NUM
ejpam-6336	193	37	600	600	NUM
ejpam-6336	193	38	0.05	0.05	NUM
ejpam-6336	193	39	0.05	0.05	NUM
ejpam-6336	193	40	200	200	NUM
ejpam-6336	193	41	700	700	NUM
ejpam-6336	193	42	100	100	NUM
ejpam-6336	193	43	850	850	NUM
ejpam-6336	193	44	table	table	NOUN
ejpam-6336	193	45	3	3	NUM
ejpam-6336	193	46	:	:	PUNCT
ejpam-6336	193	47	numerical	numerical	ADJ
ejpam-6336	193	48	values	value	NOUN
ejpam-6336	193	49	for	for	ADP
ejpam-6336	193	50	fig	fig	NOUN
ejpam-6336	193	51	.	.	PUNCT
ejpam-6336	194	1	(	(	PUNCT
ejpam-6336	194	2	(	(	PUNCT
ejpam-6336	194	3	5a	5a	NUM
ejpam-6336	194	4	)	)	PUNCT
ejpam-6336	194	5	)	)	PUNCT
ejpam-6336	194	6	0	0	NUM
ejpam-6336	195	1	100	100	NUM
ejpam-6336	195	2	200	200	NUM
ejpam-6336	195	3	300	300	NUM
ejpam-6336	195	4	400	400	NUM
ejpam-6336	195	5	500	500	NUM
ejpam-6336	195	6	600	600	NUM
ejpam-6336	195	7	protected	protect	VERB
ejpam-6336	195	8	nodes	node	NOUN
ejpam-6336	195	9	p(t	p(t	NOUN
ejpam-6336	195	10	)	)	PUNCT
ejpam-6336	195	11	0	0	NUM
ejpam-6336	195	12	200	200	NUM
ejpam-6336	195	13	400	400	NUM
ejpam-6336	195	14	600	600	NUM
ejpam-6336	195	15	800	800	NUM
ejpam-6336	195	16	1000	1000	NUM
ejpam-6336	195	17	1200	1200	NUM
ejpam-6336	195	18	1400	1400	NUM
ejpam-6336	195	19	1600	1600	NUM
ejpam-6336	195	20	1800	1800	NUM
ejpam-6336	195	21	2000	2000	NUM
ejpam-6336	195	22	in	in	ADP
ejpam-6336	195	23	f	f	PROPN
ejpam-6336	195	24	e	e	PROPN
ejpam-6336	195	25	c	c	PROPN
ejpam-6336	195	26	t	t	PROPN
ejpam-6336	195	27	e	e	PROPN
ejpam-6336	195	28	d	d	PROPN
ejpam-6336	195	29	n	n	X
ejpam-6336	195	30	o	o	X
ejpam-6336	195	31	d	d	X
ejpam-6336	195	32	e	e	X
ejpam-6336	195	33	s	s	VERB
ejpam-6336	195	34	i	i	PROPN
ejpam-6336	195	35	(	(	PUNCT
ejpam-6336	195	36	t	t	PROPN
ejpam-6336	195	37	)	)	PUNCT
ejpam-6336	195	38	(	(	PUNCT
ejpam-6336	195	39	a	a	X
ejpam-6336	195	40	)	)	PUNCT
ejpam-6336	195	41	effect	effect	NOUN
ejpam-6336	195	42	of	of	ADP
ejpam-6336	195	43	actively	actively	ADV
ejpam-6336	195	44	spreading	spread	VERB
ejpam-6336	195	45	malware	malware	NOUN
ejpam-6336	195	46	nodes	node	NOUN
ejpam-6336	195	47	vs.	vs.	ADP
ejpam-6336	195	48	secured	secured	ADJ
ejpam-6336	195	49	and	and	CCONJ
ejpam-6336	195	50	immune	immune	ADJ
ejpam-6336	195	51	to	to	ADP
ejpam-6336	195	52	attacks	attack	NOUN
ejpam-6336	195	53	nodes	node	NOUN
ejpam-6336	195	54	=	=	NOUN
ejpam-6336	195	55	0.01	0.01	NUM
ejpam-6336	195	56	,	,	PUNCT
ejpam-6336	196	1	=	=	NOUN
ejpam-6336	196	2	0.01	0.01	NUM
ejpam-6336	196	3	=	=	SYM
ejpam-6336	196	4	0.7	0.7	NUM
ejpam-6336	196	5	,	,	PUNCT
ejpam-6336	196	6	=	=	NOUN
ejpam-6336	196	7	0.03	0.03	NUM
ejpam-6336	196	8	=	=	NUM
ejpam-6336	196	9	0.05	0.05	NUM
ejpam-6336	196	10	,	,	PUNCT
ejpam-6336	196	11	=	=	NOUN
ejpam-6336	196	12	0.05	0.05	NUM
ejpam-6336	196	13	figure	figure	NOUN
ejpam-6336	196	14	5	5	NUM
ejpam-6336	196	15	:	:	PUNCT
ejpam-6336	196	16	complex	complex	ADJ
ejpam-6336	196	17	behaviors	behavior	NOUN
ejpam-6336	196	18	of	of	ADP
ejpam-6336	196	19	malware	malware	NOUN
ejpam-6336	196	20	propagation	propagation	NOUN
ejpam-6336	196	21	and	and	CCONJ
ejpam-6336	196	22	security	security	NOUN
ejpam-6336	196	23	responses	response	NOUN
ejpam-6336	196	24	the	the	DET
ejpam-6336	196	25	above	above	ADJ
ejpam-6336	196	26	graphical	graphical	ADJ
ejpam-6336	196	27	presentations	presentation	NOUN
ejpam-6336	196	28	shows	show	VERB
ejpam-6336	196	29	different	different	ADJ
ejpam-6336	196	30	complex	complex	ADJ
ejpam-6336	196	31	behaviors	behavior	NOUN
ejpam-6336	196	32	of	of	ADP
ejpam-6336	196	33	malware	malware	NOUN
ejpam-6336	196	34	propagation	propagation	NOUN
ejpam-6336	196	35	and	and	CCONJ
ejpam-6336	196	36	security	security	NOUN
ejpam-6336	196	37	responses	response	NOUN
ejpam-6336	196	38	,	,	PUNCT
ejpam-6336	196	39	each	each	DET
ejpam-6336	196	40	showcasing	showcase	VERB
ejpam-6336	196	41	unique	unique	ADJ
ejpam-6336	196	42	dynamics	dynamic	NOUN
ejpam-6336	196	43	that	that	PRON
ejpam-6336	196	44	require	require	VERB
ejpam-6336	196	45	careful	careful	ADJ
ejpam-6336	196	46	analysis	analysis	NOUN
ejpam-6336	196	47	.	.	PUNCT
ejpam-6336	197	1	s.	s.	PROPN
ejpam-6336	197	2	ahmad	ahmad	PROPN
ejpam-6336	197	3	,	,	PUNCT
ejpam-6336	197	4	n.	n.	PROPN
ejpam-6336	197	5	ahmad	ahmad	PROPN
ejpam-6336	197	6	,	,	PUNCT
ejpam-6336	197	7	i.	i.	PROPN
ejpam-6336	197	8	shah	shah	PROPN
ejpam-6336	197	9	/	/	SYM
ejpam-6336	197	10	eur	eur	PROPN
ejpam-6336	197	11	.	.	PUNCT
ejpam-6336	198	1	j.	j.	PROPN
ejpam-6336	198	2	pure	pure	PROPN
ejpam-6336	198	3	appl	appl	PROPN
ejpam-6336	198	4	.	.	PROPN
ejpam-6336	198	5	math	math	PROPN
ejpam-6336	198	6	,	,	PUNCT
ejpam-6336	198	7	18	18	NUM
ejpam-6336	198	8	(	(	PUNCT
ejpam-6336	198	9	3	3	NUM
ejpam-6336	198	10	)	)	PUNCT
ejpam-6336	198	11	(	(	PUNCT
ejpam-6336	198	12	2025	2025	NUM
ejpam-6336	198	13	)	)	PUNCT
ejpam-6336	198	14	,	,	PUNCT
ejpam-6336	198	15	6336	6336	NUM
ejpam-6336	198	16	16	16	NUM
ejpam-6336	198	17	of	of	ADP
ejpam-6336	198	18	24	24	NUM
ejpam-6336	198	19	parameter	parameter	NOUN
ejpam-6336	198	20	value	value	NOUN
ejpam-6336	198	21	state	state	NOUN
ejpam-6336	198	22	variable	variable	ADJ
ejpam-6336	198	23	initial	initial	ADJ
ejpam-6336	198	24	condition	condition	NOUN
ejpam-6336	198	25	λ	λ	PROPN
ejpam-6336	198	26	0.700	0.700	NUM
ejpam-6336	198	27	s	s	PART
ejpam-6336	198	28	(	(	PUNCT
ejpam-6336	198	29	susceptible	susceptible	ADJ
ejpam-6336	198	30	nodes	node	NOUN
ejpam-6336	198	31	)	)	PUNCT
ejpam-6336	198	32	5000	5000	NUM
ejpam-6336	198	33	µ	µ	NOUN
ejpam-6336	198	34	0.1	0.1	NUM
ejpam-6336	198	35	e	e	NOUN
ejpam-6336	198	36	(	(	PUNCT
ejpam-6336	198	37	exposed	expose	VERB
ejpam-6336	198	38	nodes	node	NOUN
ejpam-6336	198	39	)	)	PUNCT
ejpam-6336	198	40	10	10	NUM
ejpam-6336	198	41	β1	β1	NOUN
ejpam-6336	198	42	(	(	PUNCT
ejpam-6336	198	43	0.8	0.8	NUM
ejpam-6336	198	44	,	,	PUNCT
ejpam-6336	198	45	0.8	0.8	NUM
ejpam-6336	198	46	,	,	PUNCT
ejpam-6336	198	47	0.4	0.4	NUM
ejpam-6336	198	48	,	,	PUNCT
ejpam-6336	198	49	0.02	0.02	NUM
ejpam-6336	198	50	)	)	PUNCT
ejpam-6336	199	1	i	i	PRON
ejpam-6336	199	2	(	(	PUNCT
ejpam-6336	199	3	infected	infect	VERB
ejpam-6336	199	4	nodes	node	NOUN
ejpam-6336	199	5	)	)	PUNCT
ejpam-6336	199	6	10	10	NUM
ejpam-6336	199	7	β2	β2	NOUN
ejpam-6336	199	8	(	(	PUNCT
ejpam-6336	199	9	0.8	0.8	NUM
ejpam-6336	199	10	,	,	PUNCT
ejpam-6336	199	11	0.8	0.8	NUM
ejpam-6336	199	12	,	,	PUNCT
ejpam-6336	199	13	0.4	0.4	NUM
ejpam-6336	199	14	,	,	PUNCT
ejpam-6336	199	15	0.02	0.02	NUM
ejpam-6336	199	16	)	)	PUNCT
ejpam-6336	199	17	c	c	NOUN
ejpam-6336	199	18	(	(	PUNCT
ejpam-6336	199	19	controlled	control	VERB
ejpam-6336	199	20	nodes	node	NOUN
ejpam-6336	199	21	)	)	PUNCT
ejpam-6336	199	22	0	0	NUM
ejpam-6336	200	1	α	α	NOUN
ejpam-6336	200	2	0.1	0.1	NUM
ejpam-6336	200	3	r	r	NOUN
ejpam-6336	200	4	(	(	PUNCT
ejpam-6336	200	5	recovered	recover	VERB
ejpam-6336	200	6	nodes	node	NOUN
ejpam-6336	200	7	)	)	PUNCT
ejpam-6336	200	8	50	50	NUM
ejpam-6336	200	9	γ	γ	NOUN
ejpam-6336	200	10	0.02	0.02	NUM
ejpam-6336	200	11	p	p	NOUN
ejpam-6336	200	12	(	(	PUNCT
ejpam-6336	200	13	protected	protect	VERB
ejpam-6336	200	14	nodes	node	NOUN
ejpam-6336	200	15	)	)	PUNCT
ejpam-6336	200	16	100	100	NUM
ejpam-6336	200	17	δ	δ	PROPN
ejpam-6336	200	18	(	(	PUNCT
ejpam-6336	200	19	0.6	0.6	NUM
ejpam-6336	200	20	,	,	PUNCT
ejpam-6336	200	21	0.1	0.1	NUM
ejpam-6336	200	22	,	,	PUNCT
ejpam-6336	200	23	0.5	0.5	NUM
ejpam-6336	200	24	,	,	PUNCT
ejpam-6336	200	25	0.23	0.23	NUM
ejpam-6336	200	26	)	)	PUNCT
ejpam-6336	200	27	d	d	NOUN
ejpam-6336	200	28	(	(	PUNCT
ejpam-6336	200	29	disabled	disabled	ADJ
ejpam-6336	200	30	nodes	node	NOUN
ejpam-6336	200	31	)	)	PUNCT
ejpam-6336	200	32	10	10	NUM
ejpam-6336	200	33	θ	θ	NOUN
ejpam-6336	200	34	0.01	0.01	NUM
ejpam-6336	200	35	a	a	PRON
ejpam-6336	200	36	(	(	PUNCT
ejpam-6336	200	37	attacker	attacker	NOUN
ejpam-6336	200	38	nodes	node	NOUN
ejpam-6336	200	39	)	)	PUNCT
ejpam-6336	200	40	710	710	NUM
ejpam-6336	200	41	ρ	ρ	NUM
ejpam-6336	200	42	0.05	0.05	NUM
ejpam-6336	200	43	σ	σ	PROPN
ejpam-6336	200	44	0.0007	0.0007	NUM
ejpam-6336	200	45	ω	ω	NUM
ejpam-6336	200	46	0.002	0.002	NUM
ejpam-6336	200	47	η	η	PROPN
ejpam-6336	200	48	0.04	0.04	NUM
ejpam-6336	200	49	κ	κ	PROPN
ejpam-6336	200	50	0.07	0.07	NUM
ejpam-6336	200	51	λ	λ	NOUN
ejpam-6336	200	52	0.06	0.06	NUM
ejpam-6336	200	53	table	table	NOUN
ejpam-6336	200	54	4	4	NUM
ejpam-6336	200	55	:	:	PUNCT
ejpam-6336	200	56	parameter	parameter	NOUN
ejpam-6336	200	57	values	value	NOUN
ejpam-6336	200	58	and	and	CCONJ
ejpam-6336	200	59	initial	initial	ADJ
ejpam-6336	200	60	conditions	condition	NOUN
ejpam-6336	200	61	for	for	ADP
ejpam-6336	200	62	the	the	DET
ejpam-6336	200	63	cyberattack	cyberattack	NOUN
ejpam-6336	200	64	propagation	propagation	NOUN
ejpam-6336	200	65	model	model	NOUN
ejpam-6336	200	66	.	.	PUNCT
ejpam-6336	201	1	s.	s.	PROPN
ejpam-6336	201	2	ahmad	ahmad	PROPN
ejpam-6336	201	3	,	,	PUNCT
ejpam-6336	201	4	n.	n.	PROPN
ejpam-6336	201	5	ahmad	ahmad	PROPN
ejpam-6336	201	6	,	,	PUNCT
ejpam-6336	201	7	i.	i.	PROPN
ejpam-6336	201	8	shah	shah	PROPN
ejpam-6336	201	9	/	/	SYM
ejpam-6336	201	10	eur	eur	PROPN
ejpam-6336	201	11	.	.	PUNCT
ejpam-6336	202	1	j.	j.	PROPN
ejpam-6336	202	2	pure	pure	PROPN
ejpam-6336	202	3	appl	appl	PROPN
ejpam-6336	202	4	.	.	PROPN
ejpam-6336	202	5	math	math	PROPN
ejpam-6336	202	6	,	,	PUNCT
ejpam-6336	202	7	18	18	NUM
ejpam-6336	202	8	(	(	PUNCT
ejpam-6336	202	9	3	3	NUM
ejpam-6336	202	10	)	)	PUNCT
ejpam-6336	202	11	(	(	PUNCT
ejpam-6336	202	12	2025	2025	NUM
ejpam-6336	202	13	)	)	PUNCT
ejpam-6336	202	14	,	,	PUNCT
ejpam-6336	202	15	6336	6336	NUM
ejpam-6336	202	16	17	17	NUM
ejpam-6336	202	17	of	of	ADP
ejpam-6336	202	18	24	24	NUM
ejpam-6336	202	19	0	0	NUM
ejpam-6336	202	20	1000	1000	NUM
ejpam-6336	202	21	2000	2000	NUM
ejpam-6336	202	22	3000	3000	NUM
ejpam-6336	202	23	4000	4000	NUM
ejpam-6336	202	24	5000	5000	NUM
ejpam-6336	202	25	exposed	expose	VERB
ejpam-6336	202	26	nodes	node	NOUN
ejpam-6336	202	27	(	(	PUNCT
ejpam-6336	202	28	e	e	NOUN
ejpam-6336	202	29	)	)	PUNCT
ejpam-6336	202	30	0	0	NUM
ejpam-6336	202	31	100	100	NUM
ejpam-6336	202	32	200	200	NUM
ejpam-6336	202	33	300	300	NUM
ejpam-6336	202	34	400	400	NUM
ejpam-6336	202	35	500	500	NUM
ejpam-6336	202	36	600	600	NUM
ejpam-6336	202	37	700	700	NUM
ejpam-6336	202	38	800	800	NUM
ejpam-6336	202	39	900	900	NUM
ejpam-6336	202	40	in	in	ADP
ejpam-6336	202	41	fe	fe	X
ejpam-6336	202	42	c	c	PROPN
ejpam-6336	202	43	te	te	PROPN
ejpam-6336	202	44	d	d	PROPN
ejpam-6336	202	45	n	n	NOUN
ejpam-6336	202	46	o	o	X
ejpam-6336	202	47	d	d	X
ejpam-6336	202	48	e	e	X
ejpam-6336	202	49	s	s	X
ejpam-6336	202	50	(	(	PUNCT
ejpam-6336	202	51	i	i	NOUN
ejpam-6336	202	52	)	)	PUNCT
ejpam-6336	202	53	(	(	PUNCT
ejpam-6336	202	54	b	b	X
ejpam-6336	202	55	)	)	PUNCT
ejpam-6336	202	56	malware	malware	NOUN
ejpam-6336	202	57	incubation	incubation	NOUN
ejpam-6336	202	58	period	period	NOUN
ejpam-6336	202	59	=	=	NOUN
ejpam-6336	202	60	0.8	0.8	NUM
ejpam-6336	202	61	,	,	PUNCT
ejpam-6336	202	62	=	=	NOUN
ejpam-6336	202	63	0.06	0.06	NUM
ejpam-6336	202	64	=	=	NUM
ejpam-6336	202	65	0.8	0.8	NUM
ejpam-6336	202	66	,	,	PUNCT
ejpam-6336	202	67	=	=	NOUN
ejpam-6336	202	68	0.1	0.1	NUM
ejpam-6336	202	69	=	=	SYM
ejpam-6336	202	70	0.4	0.4	NUM
ejpam-6336	202	71	,	,	PUNCT
ejpam-6336	202	72	=	=	NOUN
ejpam-6336	202	73	0.5	0.5	NUM
ejpam-6336	202	74	=	=	NUM
ejpam-6336	202	75	0.02	0.02	NUM
ejpam-6336	202	76	,	,	PUNCT
ejpam-6336	202	77	=	=	NOUN
ejpam-6336	202	78	0.23	0.23	NUM
ejpam-6336	202	79	0	0	NUM
ejpam-6336	202	80	20	20	NUM
ejpam-6336	202	81	40	40	NUM
ejpam-6336	202	82	60	60	NUM
ejpam-6336	202	83	80	80	NUM
ejpam-6336	202	84	100	100	NUM
ejpam-6336	202	85	120	120	NUM
ejpam-6336	202	86	recovered	recovered	ADJ
ejpam-6336	202	87	nodes	node	NOUN
ejpam-6336	202	88	(	(	PUNCT
ejpam-6336	202	89	r	r	NOUN
ejpam-6336	202	90	)	)	PUNCT
ejpam-6336	202	91	0	0	NUM
ejpam-6336	202	92	50	50	NUM
ejpam-6336	202	93	100	100	NUM
ejpam-6336	202	94	150	150	NUM
ejpam-6336	202	95	200	200	NUM
ejpam-6336	202	96	250	250	NUM
ejpam-6336	202	97	300	300	NUM
ejpam-6336	202	98	350	350	NUM
ejpam-6336	202	99	400	400	NUM
ejpam-6336	202	100	450	450	NUM
ejpam-6336	202	101	p	p	NOUN
ejpam-6336	202	102	ro	ro	X
ejpam-6336	202	103	te	te	ADP
ejpam-6336	202	104	ct	ct	NUM
ejpam-6336	202	105	e	e	PROPN
ejpam-6336	202	106	d	d	PROPN
ejpam-6336	202	107	n	n	PROPN
ejpam-6336	202	108	o	o	X
ejpam-6336	202	109	d	d	X
ejpam-6336	202	110	e	e	X
ejpam-6336	202	111	s	s	X
ejpam-6336	202	112	(	(	PUNCT
ejpam-6336	202	113	p	p	NOUN
ejpam-6336	202	114	)	)	PUNCT
ejpam-6336	202	115	(	(	PUNCT
ejpam-6336	202	116	c	c	NOUN
ejpam-6336	202	117	)	)	PUNCT
ejpam-6336	202	118	effectiveness	effectiveness	NOUN
ejpam-6336	202	119	of	of	ADP
ejpam-6336	202	120	security	security	NOUN
ejpam-6336	202	121	measures	measure	NOUN
ejpam-6336	202	122	=	=	NOUN
ejpam-6336	202	123	0.8	0.8	NUM
ejpam-6336	202	124	,	,	PUNCT
ejpam-6336	202	125	=	=	NOUN
ejpam-6336	202	126	0.06	0.06	NUM
ejpam-6336	202	127	=	=	NUM
ejpam-6336	202	128	0.8	0.8	NUM
ejpam-6336	202	129	,	,	PUNCT
ejpam-6336	202	130	=	=	NOUN
ejpam-6336	202	131	0.1	0.1	NUM
ejpam-6336	202	132	=	=	SYM
ejpam-6336	202	133	0.4	0.4	NUM
ejpam-6336	202	134	,	,	PUNCT
ejpam-6336	202	135	=	=	NOUN
ejpam-6336	202	136	0.5	0.5	NUM
ejpam-6336	202	137	=	=	NUM
ejpam-6336	202	138	0.02	0.02	NUM
ejpam-6336	202	139	,	,	PUNCT
ejpam-6336	202	140	=	=	NOUN
ejpam-6336	202	141	0.23	0.23	NUM
ejpam-6336	202	142	0	0	NUM
ejpam-6336	203	1	200	200	NUM
ejpam-6336	203	2	400	400	NUM
ejpam-6336	203	3	600	600	NUM
ejpam-6336	203	4	800	800	NUM
ejpam-6336	203	5	1000	1000	NUM
ejpam-6336	203	6	1200	1200	NUM
ejpam-6336	203	7	1400	1400	NUM
ejpam-6336	203	8	disabled	disabled	ADJ
ejpam-6336	203	9	nodes	node	NOUN
ejpam-6336	203	10	(	(	PUNCT
ejpam-6336	203	11	d	d	NOUN
ejpam-6336	203	12	)	)	PUNCT
ejpam-6336	203	13	0	0	NUM
ejpam-6336	203	14	100	100	NUM
ejpam-6336	203	15	200	200	NUM
ejpam-6336	203	16	300	300	NUM
ejpam-6336	203	17	400	400	NUM
ejpam-6336	203	18	500	500	NUM
ejpam-6336	203	19	600	600	NUM
ejpam-6336	203	20	700	700	NUM
ejpam-6336	203	21	800	800	NUM
ejpam-6336	203	22	a	a	DET
ejpam-6336	203	23	tt	tt	PROPN
ejpam-6336	203	24	a	a	DET
ejpam-6336	203	25	c	c	NOUN
ejpam-6336	203	26	k	k	X
ejpam-6336	203	27	e	e	NOUN
ejpam-6336	203	28	rs	rs	X
ejpam-6336	203	29	(	(	PUNCT
ejpam-6336	203	30	a	a	NOUN
ejpam-6336	203	31	)	)	PUNCT
ejpam-6336	203	32	(	(	PUNCT
ejpam-6336	203	33	d	d	X
ejpam-6336	203	34	)	)	PUNCT
ejpam-6336	203	35	damage	damage	NOUN
ejpam-6336	203	36	impact	impact	NOUN
ejpam-6336	203	37	on	on	ADP
ejpam-6336	203	38	attacker	attacker	NOUN
ejpam-6336	203	39	persistence	persistence	NOUN
ejpam-6336	203	40	=	=	NOUN
ejpam-6336	203	41	0.8	0.8	NUM
ejpam-6336	203	42	,	,	PUNCT
ejpam-6336	203	43	=	=	NOUN
ejpam-6336	203	44	0.06	0.06	NUM
ejpam-6336	203	45	=	=	NUM
ejpam-6336	203	46	0.8	0.8	NUM
ejpam-6336	203	47	,	,	PUNCT
ejpam-6336	203	48	=	=	NOUN
ejpam-6336	203	49	0.1	0.1	NUM
ejpam-6336	203	50	=	=	SYM
ejpam-6336	203	51	0.4	0.4	NUM
ejpam-6336	203	52	,	,	PUNCT
ejpam-6336	203	53	=	=	NOUN
ejpam-6336	203	54	0.5	0.5	NUM
ejpam-6336	203	55	=	=	NUM
ejpam-6336	203	56	0.02	0.02	NUM
ejpam-6336	203	57	,	,	PUNCT
ejpam-6336	203	58	=	=	NOUN
ejpam-6336	203	59	0.23	0.23	NUM
ejpam-6336	203	60	0	0	NUM
ejpam-6336	203	61	50	50	NUM
ejpam-6336	203	62	100	100	NUM
ejpam-6336	203	63	150	150	NUM
ejpam-6336	203	64	200	200	NUM
ejpam-6336	203	65	250	250	NUM
ejpam-6336	203	66	attackers	attacker	NOUN
ejpam-6336	203	67	(	(	PUNCT
ejpam-6336	203	68	a	a	X
ejpam-6336	203	69	)	)	PUNCT
ejpam-6336	203	70	0	0	NUM
ejpam-6336	203	71	100	100	NUM
ejpam-6336	203	72	200	200	NUM
ejpam-6336	203	73	300	300	NUM
ejpam-6336	203	74	400	400	NUM
ejpam-6336	203	75	500	500	NUM
ejpam-6336	203	76	600	600	NUM
ejpam-6336	203	77	700	700	NUM
ejpam-6336	203	78	800	800	NUM
ejpam-6336	203	79	900	900	NUM
ejpam-6336	203	80	in	in	ADP
ejpam-6336	203	81	fe	fe	X
ejpam-6336	203	82	c	c	PROPN
ejpam-6336	203	83	te	te	PROPN
ejpam-6336	203	84	d	d	PROPN
ejpam-6336	203	85	n	n	NOUN
ejpam-6336	203	86	o	o	X
ejpam-6336	203	87	d	d	X
ejpam-6336	203	88	e	e	X
ejpam-6336	203	89	s	s	X
ejpam-6336	203	90	(	(	PUNCT
ejpam-6336	203	91	i	i	NOUN
ejpam-6336	203	92	)	)	PUNCT
ejpam-6336	203	93	(	(	PUNCT
ejpam-6336	203	94	e	e	NOUN
ejpam-6336	203	95	)	)	PUNCT
ejpam-6336	203	96	botnet	botnet	NOUN
ejpam-6336	203	97	recruitment	recruitment	NOUN
ejpam-6336	203	98	=	=	NOUN
ejpam-6336	203	99	0.8	0.8	NUM
ejpam-6336	203	100	,	,	PUNCT
ejpam-6336	203	101	=	=	NOUN
ejpam-6336	203	102	0.06	0.06	NUM
ejpam-6336	203	103	=	=	NUM
ejpam-6336	203	104	0.8	0.8	NUM
ejpam-6336	203	105	,	,	PUNCT
ejpam-6336	203	106	=	=	NOUN
ejpam-6336	203	107	0.1	0.1	NUM
ejpam-6336	203	108	=	=	SYM
ejpam-6336	203	109	0.4	0.4	NUM
ejpam-6336	203	110	,	,	PUNCT
ejpam-6336	203	111	=	=	NOUN
ejpam-6336	203	112	0.5	0.5	NUM
ejpam-6336	203	113	=	=	NUM
ejpam-6336	203	114	0.02	0.02	NUM
ejpam-6336	203	115	,	,	PUNCT
ejpam-6336	203	116	=	=	NOUN
ejpam-6336	203	117	0.23	0.23	NUM
ejpam-6336	203	118	figure	figure	NOUN
ejpam-6336	203	119	6	6	NUM
ejpam-6336	203	120	:	:	PUNCT
ejpam-6336	203	121	graphical	graphical	ADJ
ejpam-6336	203	122	study	study	NOUN
ejpam-6336	203	123	of	of	ADP
ejpam-6336	203	124	different	different	ADJ
ejpam-6336	203	125	compartments	compartment	NOUN
ejpam-6336	203	126	of	of	ADP
ejpam-6336	203	127	the	the	DET
ejpam-6336	203	128	model	model	NOUN
ejpam-6336	203	129	in	in	ADP
ejpam-6336	203	130	fig	fig	NOUN
ejpam-6336	203	131	.	.	PUNCT
ejpam-6336	204	1	(	(	PUNCT
ejpam-6336	204	2	6	6	NUM
ejpam-6336	204	3	)	)	PUNCT
ejpam-6336	204	4	,	,	PUNCT
ejpam-6336	204	5	plot	plot	NOUN
ejpam-6336	204	6	(	(	PUNCT
ejpam-6336	204	7	6a	6a	NOUN
ejpam-6336	204	8	)	)	PUNCT
ejpam-6336	204	9	exhibits	exhibit	VERB
ejpam-6336	204	10	a	a	DET
ejpam-6336	204	11	smooth	smooth	ADJ
ejpam-6336	204	12	nonlinear	nonlinear	ADJ
ejpam-6336	204	13	progression	progression	NOUN
ejpam-6336	204	14	(	(	PUNCT
ejpam-6336	204	15	using	use	VERB
ejpam-6336	204	16	numerical	numerical	ADJ
ejpam-6336	204	17	tab	tab	PROPN
ejpam-6336	204	18	.	.	PUNCT
ejpam-6336	205	1	(	(	PUNCT
ejpam-6336	205	2	3	3	NUM
ejpam-6336	205	3	)	)	PUNCT
ejpam-6336	205	4	)	)	PUNCT
ejpam-6336	205	5	,	,	PUNCT
ejpam-6336	205	6	where	where	SCONJ
ejpam-6336	205	7	the	the	DET
ejpam-6336	205	8	infection	infection	NOUN
ejpam-6336	205	9	rate	rate	NOUN
ejpam-6336	205	10	initially	initially	ADV
ejpam-6336	205	11	rises	rise	VERB
ejpam-6336	205	12	sharply	sharply	ADV
ejpam-6336	205	13	due	due	ADP
ejpam-6336	205	14	to	to	ADP
ejpam-6336	205	15	the	the	DET
ejpam-6336	205	16	rapid	rapid	ADJ
ejpam-6336	205	17	spread	spread	NOUN
ejpam-6336	205	18	of	of	ADP
ejpam-6336	205	19	malware	malware	NOUN
ejpam-6336	205	20	in	in	ADP
ejpam-6336	205	21	an	an	DET
ejpam-6336	205	22	unprotected	unprotected	ADJ
ejpam-6336	205	23	environment	environment	NOUN
ejpam-6336	205	24	.	.	PUNCT
ejpam-6336	206	1	however	however	ADV
ejpam-6336	206	2	,	,	PUNCT
ejpam-6336	206	3	as	as	SCONJ
ejpam-6336	206	4	security	security	NOUN
ejpam-6336	206	5	measures	measure	NOUN
ejpam-6336	206	6	gradually	gradually	ADV
ejpam-6336	206	7	take	take	VERB
ejpam-6336	206	8	effect	effect	NOUN
ejpam-6336	206	9	,	,	PUNCT
ejpam-6336	206	10	the	the	DET
ejpam-6336	206	11	curve	curve	NOUN
ejpam-6336	206	12	bends	bend	VERB
ejpam-6336	206	13	downward	downward	ADV
ejpam-6336	206	14	,	,	PUNCT
ejpam-6336	206	15	indicating	indicate	VERB
ejpam-6336	206	16	a	a	DET
ejpam-6336	206	17	decline	decline	NOUN
ejpam-6336	206	18	in	in	ADP
ejpam-6336	206	19	infection	infection	NOUN
ejpam-6336	206	20	.	.	PUNCT
ejpam-6336	207	1	the	the	DET
ejpam-6336	207	2	steep	steep	ADJ
ejpam-6336	207	3	rise	rise	NOUN
ejpam-6336	207	4	and	and	CCONJ
ejpam-6336	207	5	slow	slow	ADJ
ejpam-6336	207	6	decay	decay	NOUN
ejpam-6336	207	7	signify	signify	VERB
ejpam-6336	207	8	a	a	DET
ejpam-6336	207	9	typical	typical	ADJ
ejpam-6336	207	10	epidemic	epidemic	NOUN
ejpam-6336	207	11	-	-	PUNCT
ejpam-6336	207	12	like	like	ADJ
ejpam-6336	207	13	behavior	behavior	NOUN
ejpam-6336	207	14	,	,	PUNCT
ejpam-6336	207	15	where	where	SCONJ
ejpam-6336	207	16	an	an	DET
ejpam-6336	207	17	initial	initial	ADJ
ejpam-6336	207	18	surge	surge	NOUN
ejpam-6336	207	19	is	be	AUX
ejpam-6336	207	20	followed	follow	VERB
ejpam-6336	207	21	by	by	ADP
ejpam-6336	207	22	a	a	DET
ejpam-6336	207	23	prolonged	prolonged	ADJ
ejpam-6336	207	24	recovery	recovery	NOUN
ejpam-6336	207	25	phase	phase	NOUN
ejpam-6336	207	26	.	.	PUNCT
ejpam-6336	208	1	this	this	DET
ejpam-6336	208	2	transition	transition	NOUN
ejpam-6336	208	3	depends	depend	VERB
ejpam-6336	208	4	significantly	significantly	ADV
ejpam-6336	208	5	on	on	ADP
ejpam-6336	208	6	the	the	DET
ejpam-6336	208	7	transmission	transmission	NOUN
ejpam-6336	208	8	rate	rate	NOUN
ejpam-6336	208	9	β	β	X
ejpam-6336	208	10	and	and	CCONJ
ejpam-6336	208	11	the	the	DET
ejpam-6336	208	12	recovery	recovery	NOUN
ejpam-6336	208	13	rate	rate	NOUN
ejpam-6336	208	14	δ	δ	PROPN
ejpam-6336	208	15	,	,	PUNCT
ejpam-6336	208	16	demonstrating	demonstrate	VERB
ejpam-6336	208	17	the	the	DET
ejpam-6336	208	18	balance	balance	NOUN
ejpam-6336	208	19	between	between	ADP
ejpam-6336	208	20	infection	infection	NOUN
ejpam-6336	208	21	pressure	pressure	NOUN
ejpam-6336	208	22	and	and	CCONJ
ejpam-6336	208	23	defense	defense	NOUN
ejpam-6336	208	24	mechanisms	mechanism	NOUN
ejpam-6336	208	25	.	.	PUNCT
ejpam-6336	209	1	with	with	ADP
ejpam-6336	209	2	the	the	DET
ejpam-6336	209	3	help	help	NOUN
ejpam-6336	209	4	of	of	ADP
ejpam-6336	209	5	numerical	numerical	ADJ
ejpam-6336	209	6	values	value	NOUN
ejpam-6336	209	7	which	which	PRON
ejpam-6336	209	8	is	be	AUX
ejpam-6336	209	9	given	give	VERB
ejpam-6336	209	10	in	in	ADP
ejpam-6336	209	11	tab	tab	NOUN
ejpam-6336	209	12	.	.	PUNCT
ejpam-6336	210	1	(	(	PUNCT
ejpam-6336	210	2	4	4	NUM
ejpam-6336	210	3	)	)	PUNCT
ejpam-6336	210	4	,	,	PUNCT
ejpam-6336	210	5	we	we	PRON
ejpam-6336	210	6	presents	present	VERB
ejpam-6336	210	7	the	the	DET
ejpam-6336	210	8	following	follow	VERB
ejpam-6336	210	9	more	more	ADJ
ejpam-6336	210	10	discussion	discussion	NOUN
ejpam-6336	210	11	of	of	ADP
ejpam-6336	210	12	the	the	DET
ejpam-6336	210	13	proposed	propose	VERB
ejpam-6336	210	14	model	model	NOUN
ejpam-6336	210	15	.	.	PUNCT
ejpam-6336	211	1	in	in	ADP
ejpam-6336	211	2	figure	figure	NOUN
ejpam-6336	211	3	(	(	PUNCT
ejpam-6336	211	4	6b	6b	NUM
ejpam-6336	211	5	)	)	PUNCT
ejpam-6336	211	6	we	we	PRON
ejpam-6336	211	7	see	see	VERB
ejpam-6336	211	8	interesting	interesting	ADJ
ejpam-6336	211	9	behavior	behavior	NOUN
ejpam-6336	211	10	,	,	PUNCT
ejpam-6336	211	11	where	where	SCONJ
ejpam-6336	211	12	the	the	DET
ejpam-6336	211	13	solution	solution	NOUN
ejpam-6336	211	14	starts	start	VERB
ejpam-6336	211	15	from	from	ADP
ejpam-6336	211	16	a	a	DET
ejpam-6336	211	17	zero	zero	NUM
ejpam-6336	211	18	point	point	NOUN
ejpam-6336	211	19	,	,	PUNCT
ejpam-6336	211	20	expands	expand	VERB
ejpam-6336	211	21	outward	outward	ADV
ejpam-6336	211	22	,	,	PUNCT
ejpam-6336	211	23	and	and	CCONJ
ejpam-6336	211	24	then	then	ADV
ejpam-6336	211	25	intriguingly	intriguingly	ADV
ejpam-6336	211	26	returns	return	VERB
ejpam-6336	211	27	to	to	ADP
ejpam-6336	211	28	its	its	PRON
ejpam-6336	211	29	initial	initial	ADJ
ejpam-6336	211	30	state	state	NOUN
ejpam-6336	211	31	.	.	PUNCT
ejpam-6336	212	1	this	this	PRON
ejpam-6336	212	2	suggests	suggest	VERB
ejpam-6336	212	3	a	a	DET
ejpam-6336	212	4	cyclical	cyclical	ADJ
ejpam-6336	212	5	nature	nature	NOUN
ejpam-6336	212	6	in	in	ADP
ejpam-6336	212	7	the	the	DET
ejpam-6336	212	8	dynamics	dynamic	NOUN
ejpam-6336	212	9	,	,	PUNCT
ejpam-6336	212	10	where	where	SCONJ
ejpam-6336	212	11	a	a	DET
ejpam-6336	212	12	surge	surge	NOUN
ejpam-6336	212	13	in	in	ADP
ejpam-6336	212	14	infections	infection	NOUN
ejpam-6336	212	15	s.	s.	PROPN
ejpam-6336	212	16	ahmad	ahmad	PROPN
ejpam-6336	212	17	,	,	PUNCT
ejpam-6336	212	18	n.	n.	PROPN
ejpam-6336	212	19	ahmad	ahmad	PROPN
ejpam-6336	212	20	,	,	PUNCT
ejpam-6336	212	21	i.	i.	PROPN
ejpam-6336	212	22	shah	shah	PROPN
ejpam-6336	212	23	/	/	SYM
ejpam-6336	212	24	eur	eur	PROPN
ejpam-6336	212	25	.	.	PUNCT
ejpam-6336	213	1	j.	j.	PROPN
ejpam-6336	213	2	pure	pure	PROPN
ejpam-6336	213	3	appl	appl	PROPN
ejpam-6336	213	4	.	.	PROPN
ejpam-6336	213	5	math	math	PROPN
ejpam-6336	213	6	,	,	PUNCT
ejpam-6336	213	7	18	18	NUM
ejpam-6336	213	8	(	(	PUNCT
ejpam-6336	213	9	3	3	NUM
ejpam-6336	213	10	)	)	PUNCT
ejpam-6336	213	11	(	(	PUNCT
ejpam-6336	213	12	2025	2025	NUM
ejpam-6336	213	13	)	)	PUNCT
ejpam-6336	213	14	,	,	PUNCT
ejpam-6336	213	15	6336	6336	NUM
ejpam-6336	213	16	18	18	NUM
ejpam-6336	213	17	of	of	ADP
ejpam-6336	213	18	24	24	NUM
ejpam-6336	213	19	is	be	AUX
ejpam-6336	213	20	followed	follow	VERB
ejpam-6336	213	21	by	by	ADP
ejpam-6336	213	22	an	an	DET
ejpam-6336	213	23	effective	effective	ADJ
ejpam-6336	213	24	containment	containment	NOUN
ejpam-6336	213	25	phase	phase	NOUN
ejpam-6336	213	26	,	,	PUNCT
ejpam-6336	213	27	ultimately	ultimately	ADV
ejpam-6336	213	28	leading	lead	VERB
ejpam-6336	213	29	back	back	ADV
ejpam-6336	213	30	to	to	ADP
ejpam-6336	213	31	a	a	DET
ejpam-6336	213	32	steady	steady	ADJ
ejpam-6336	213	33	state	state	NOUN
ejpam-6336	213	34	.	.	PUNCT
ejpam-6336	214	1	such	such	ADJ
ejpam-6336	214	2	behavior	behavior	NOUN
ejpam-6336	214	3	implies	imply	VERB
ejpam-6336	214	4	that	that	SCONJ
ejpam-6336	214	5	after	after	ADP
ejpam-6336	214	6	an	an	DET
ejpam-6336	214	7	outbreak	outbreak	NOUN
ejpam-6336	214	8	,	,	PUNCT
ejpam-6336	214	9	the	the	DET
ejpam-6336	214	10	system	system	NOUN
ejpam-6336	214	11	returns	return	VERB
ejpam-6336	214	12	to	to	ADP
ejpam-6336	214	13	its	its	PRON
ejpam-6336	214	14	original	original	ADJ
ejpam-6336	214	15	condition	condition	NOUN
ejpam-6336	214	16	,	,	PUNCT
ejpam-6336	214	17	indicating	indicate	VERB
ejpam-6336	214	18	strong	strong	ADJ
ejpam-6336	214	19	resilience	resilience	NOUN
ejpam-6336	214	20	.	.	PUNCT
ejpam-6336	215	1	however	however	ADV
ejpam-6336	215	2	,	,	PUNCT
ejpam-6336	215	3	the	the	DET
ejpam-6336	215	4	extent	extent	NOUN
ejpam-6336	215	5	of	of	ADP
ejpam-6336	215	6	this	this	DET
ejpam-6336	215	7	recovery	recovery	NOUN
ejpam-6336	215	8	is	be	AUX
ejpam-6336	215	9	highly	highly	ADV
ejpam-6336	215	10	dependent	dependent	ADJ
ejpam-6336	215	11	on	on	ADP
ejpam-6336	215	12	external	external	ADJ
ejpam-6336	215	13	interventions	intervention	NOUN
ejpam-6336	215	14	such	such	ADJ
ejpam-6336	215	15	as	as	ADP
ejpam-6336	215	16	security	security	NOUN
ejpam-6336	215	17	patches	patch	NOUN
ejpam-6336	215	18	and	and	CCONJ
ejpam-6336	215	19	automated	automate	VERB
ejpam-6336	215	20	malware	malware	NOUN
ejpam-6336	215	21	removal	removal	NOUN
ejpam-6336	215	22	.	.	PUNCT
ejpam-6336	216	1	the	the	DET
ejpam-6336	216	2	fig	fig	NOUN
ejpam-6336	216	3	(	(	PUNCT
ejpam-6336	216	4	6c),demonstrate	6c),demonstrate	NUM
ejpam-6336	216	5	the	the	DET
ejpam-6336	216	6	temporal	temporal	ADJ
ejpam-6336	216	7	relationship	relationship	NOUN
ejpam-6336	216	8	between	between	ADP
ejpam-6336	216	9	protected	protect	VERB
ejpam-6336	216	10	nodes	node	NOUN
ejpam-6336	216	11	(	(	PUNCT
ejpam-6336	216	12	p	p	NOUN
ejpam-6336	216	13	)	)	PUNCT
ejpam-6336	216	14	and	and	CCONJ
ejpam-6336	216	15	recovered	recover	VERB
ejpam-6336	216	16	nodes	node	NOUN
ejpam-6336	216	17	(	(	PUNCT
ejpam-6336	216	18	r	r	NOUN
ejpam-6336	216	19	)	)	PUNCT
ejpam-6336	216	20	across	across	ADP
ejpam-6336	216	21	different	different	ADJ
ejpam-6336	216	22	parametric	parametric	ADJ
ejpam-6336	216	23	values	value	NOUN
ejpam-6336	216	24	.	.	PUNCT
ejpam-6336	217	1	the	the	DET
ejpam-6336	217	2	different	different	ADJ
ejpam-6336	217	3	curves	curve	NOUN
ejpam-6336	217	4	depict	depict	VERB
ejpam-6336	217	5	unique	unique	ADJ
ejpam-6336	217	6	scenarios	scenario	NOUN
ejpam-6336	217	7	in	in	ADP
ejpam-6336	217	8	which	which	PRON
ejpam-6336	217	9	infection	infection	NOUN
ejpam-6336	217	10	rate	rate	NOUN
ejpam-6336	217	11	(	(	PUNCT
ejpam-6336	217	12	β	β	NOUN
ejpam-6336	217	13	)	)	PUNCT
ejpam-6336	217	14	and	and	CCONJ
ejpam-6336	217	15	recovery	recovery	NOUN
ejpam-6336	217	16	rate	rate	NOUN
ejpam-6336	217	17	(	(	PUNCT
ejpam-6336	217	18	δ	δ	NOUN
ejpam-6336	217	19	)	)	PUNCT
ejpam-6336	217	20	vary	vary	VERB
ejpam-6336	217	21	,	,	PUNCT
ejpam-6336	217	22	influencing	influence	VERB
ejpam-6336	217	23	the	the	DET
ejpam-6336	217	24	overall	overall	ADJ
ejpam-6336	217	25	security	security	NOUN
ejpam-6336	217	26	effectiveness	effectiveness	NOUN
ejpam-6336	217	27	.	.	PUNCT
ejpam-6336	218	1	some	some	DET
ejpam-6336	218	2	looping	loop	VERB
ejpam-6336	218	3	oscillations	oscillation	NOUN
ejpam-6336	218	4	emerge	emerge	VERB
ejpam-6336	218	5	prominently	prominently	ADV
ejpam-6336	218	6	in	in	ADP
ejpam-6336	218	7	the	the	DET
ejpam-6336	218	8	blue	blue	ADJ
ejpam-6336	218	9	dashed	dash	VERB
ejpam-6336	218	10	trajectory	trajectory	NOUN
ejpam-6336	218	11	when	when	SCONJ
ejpam-6336	218	12	(	(	PUNCT
ejpam-6336	218	13	β	β	X
ejpam-6336	218	14	=	=	NUM
ejpam-6336	218	15	0.8	0.8	NUM
ejpam-6336	218	16	,	,	PUNCT
ejpam-6336	218	17	δ	δ	PROPN
ejpam-6336	218	18	=	=	NOUN
ejpam-6336	218	19	0.1	0.1	NUM
ejpam-6336	218	20	)	)	PUNCT
ejpam-6336	218	21	.	.	PUNCT
ejpam-6336	219	1	the	the	DET
ejpam-6336	219	2	system	system	NOUN
ejpam-6336	219	3	shows	show	VERB
ejpam-6336	219	4	transition	transition	NOUN
ejpam-6336	219	5	oscillations	oscillation	NOUN
ejpam-6336	219	6	which	which	PRON
ejpam-6336	219	7	precede	precede	VERB
ejpam-6336	219	8	its	its	PRON
ejpam-6336	219	9	establishment	establishment	NOUN
ejpam-6336	219	10	of	of	ADP
ejpam-6336	219	11	a	a	DET
ejpam-6336	219	12	stable	stable	ADJ
ejpam-6336	219	13	state	state	NOUN
ejpam-6336	219	14	.	.	PUNCT
ejpam-6336	220	1	this	this	DET
ejpam-6336	220	2	pattern	pattern	NOUN
ejpam-6336	220	3	suggests	suggest	VERB
ejpam-6336	220	4	an	an	DET
ejpam-6336	220	5	adaptive	adaptive	ADJ
ejpam-6336	220	6	networking	network	VERB
ejpam-6336	220	7	response	response	NOUN
ejpam-6336	220	8	mechanism	mechanism	NOUN
ejpam-6336	220	9	that	that	PRON
ejpam-6336	220	10	could	could	AUX
ejpam-6336	220	11	represent	represent	VERB
ejpam-6336	220	12	periodic	periodic	ADJ
ejpam-6336	220	13	reinfection	reinfection	NOUN
ejpam-6336	220	14	cylcles	cylcle	NOUN
ejpam-6336	220	15	and	and	CCONJ
ejpam-6336	220	16	delayed	delay	VERB
ejpam-6336	220	17	security	security	NOUN
ejpam-6336	220	18	defence	defence	NOUN
ejpam-6336	220	19	measures	measure	NOUN
ejpam-6336	220	20	.	.	PUNCT
ejpam-6336	221	1	while	while	SCONJ
ejpam-6336	221	2	,	,	PUNCT
ejpam-6336	221	3	the	the	DET
ejpam-6336	221	4	red	red	ADJ
ejpam-6336	221	5	and	and	CCONJ
ejpam-6336	221	6	green	green	ADJ
ejpam-6336	221	7	curves	curve	NOUN
ejpam-6336	221	8	(	(	PUNCT
ejpam-6336	221	9	β	β	X
ejpam-6336	221	10	=	=	NUM
ejpam-6336	221	11	0.8	0.8	NUM
ejpam-6336	221	12	,	,	PUNCT
ejpam-6336	221	13	δ	δ	PROPN
ejpam-6336	221	14	=	=	PROPN
ejpam-6336	221	15	0.06	0.06	NUM
ejpam-6336	221	16	along	along	ADP
ejpam-6336	221	17	β	β	X
ejpam-6336	221	18	=	=	SYM
ejpam-6336	221	19	0.4	0.4	NUM
ejpam-6336	221	20	,	,	PUNCT
ejpam-6336	221	21	δ	δ	PROPN
ejpam-6336	221	22	=	=	SYM
ejpam-6336	221	23	0.5	0.5	NUM
ejpam-6336	221	24	,	,	PUNCT
ejpam-6336	221	25	respectively	respectively	ADV
ejpam-6336	221	26	)	)	PUNCT
ejpam-6336	221	27	exhibit	exhibit	VERB
ejpam-6336	221	28	a	a	DET
ejpam-6336	221	29	smoother	smooth	ADJ
ejpam-6336	221	30	transition	transition	NOUN
ejpam-6336	221	31	toward	toward	ADP
ejpam-6336	221	32	higher	high	ADJ
ejpam-6336	221	33	protection	protection	NOUN
ejpam-6336	221	34	levels	level	NOUN
ejpam-6336	221	35	because	because	SCONJ
ejpam-6336	221	36	recovery	recovery	NOUN
ejpam-6336	221	37	rates	rate	NOUN
ejpam-6336	221	38	maintain	maintain	VERB
ejpam-6336	221	39	system	system	NOUN
ejpam-6336	221	40	stability	stability	NOUN
ejpam-6336	221	41	with	with	ADP
ejpam-6336	221	42	improved	improved	ADJ
ejpam-6336	221	43	control	control	NOUN
ejpam-6336	221	44	.	.	PUNCT
ejpam-6336	222	1	further	far	ADV
ejpam-6336	222	2	more	more	ADV
ejpam-6336	222	3	,	,	PUNCT
ejpam-6336	222	4	the	the	DET
ejpam-6336	222	5	yellow	yellow	ADJ
ejpam-6336	222	6	dotted	dotted	ADJ
ejpam-6336	222	7	trajectory	trajectory	NOUN
ejpam-6336	222	8	(	(	PUNCT
ejpam-6336	222	9	β	β	X
ejpam-6336	222	10	=	=	SYM
ejpam-6336	222	11	0.02	0.02	NUM
ejpam-6336	222	12	,	,	PUNCT
ejpam-6336	222	13	δ	δ	X
ejpam-6336	222	14	=	=	PUNCT
ejpam-6336	222	15	0.23)shows	0.23)shows	PROPN
ejpam-6336	222	16	a	a	DET
ejpam-6336	222	17	broader	broad	ADJ
ejpam-6336	222	18	path	path	NOUN
ejpam-6336	222	19	which	which	PRON
ejpam-6336	222	20	indicate	indicate	VERB
ejpam-6336	222	21	more	more	ADJ
ejpam-6336	222	22	gradual	gradual	ADJ
ejpam-6336	222	23	adaptation	adaptation	NOUN
ejpam-6336	222	24	process	process	NOUN
ejpam-6336	222	25	where	where	SCONJ
ejpam-6336	222	26	lower	low	ADJ
ejpam-6336	222	27	infection	infection	NOUN
ejpam-6336	222	28	rates	rate	NOUN
ejpam-6336	222	29	allow	allow	VERB
ejpam-6336	222	30	security	security	NOUN
ejpam-6336	222	31	mechanisms	mechanism	NOUN
ejpam-6336	222	32	to	to	PART
ejpam-6336	222	33	take	take	VERB
ejpam-6336	222	34	effect	effect	NOUN
ejpam-6336	222	35	more	more	ADV
ejpam-6336	222	36	steadily	steadily	ADV
ejpam-6336	222	37	.	.	PUNCT
ejpam-6336	223	1	figure	figure	NOUN
ejpam-6336	223	2	(	(	PUNCT
ejpam-6336	223	3	6d	6d	NUM
ejpam-6336	223	4	)	)	PUNCT
ejpam-6336	223	5	delves	delf	NOUN
ejpam-6336	223	6	into	into	ADP
ejpam-6336	223	7	the	the	DET
ejpam-6336	223	8	relationship	relationship	NOUN
ejpam-6336	223	9	between	between	ADP
ejpam-6336	223	10	attacker	attacker	NOUN
ejpam-6336	223	11	persistence	persistence	NOUN
ejpam-6336	223	12	and	and	CCONJ
ejpam-6336	223	13	the	the	DET
ejpam-6336	223	14	number	number	NOUN
ejpam-6336	223	15	of	of	ADP
ejpam-6336	223	16	disabled	disabled	ADJ
ejpam-6336	223	17	nodes	node	NOUN
ejpam-6336	223	18	(	(	PUNCT
ejpam-6336	223	19	d	d	NOUN
ejpam-6336	223	20	)	)	PUNCT
ejpam-6336	223	21	within	within	ADP
ejpam-6336	223	22	the	the	DET
ejpam-6336	223	23	network	network	NOUN
ejpam-6336	223	24	.	.	PUNCT
ejpam-6336	224	1	at	at	ADP
ejpam-6336	224	2	the	the	DET
ejpam-6336	224	3	beginning	beginning	NOUN
ejpam-6336	224	4	of	of	ADP
ejpam-6336	224	5	the	the	DET
ejpam-6336	224	6	simulation	simulation	NOUN
ejpam-6336	224	7	attacker	attacker	NOUN
ejpam-6336	224	8	activity	activity	NOUN
ejpam-6336	224	9	(	(	PUNCT
ejpam-6336	224	10	a	a	X
ejpam-6336	224	11	)	)	PUNCT
ejpam-6336	224	12	stays	stay	NOUN
ejpam-6336	224	13	elevated	elevated	ADJ
ejpam-6336	224	14	because	because	SCONJ
ejpam-6336	224	15	adversaries	adversary	NOUN
ejpam-6336	224	16	focus	focus	VERB
ejpam-6336	224	17	on	on	ADP
ejpam-6336	224	18	vulnerable	vulnerable	ADJ
ejpam-6336	224	19	points	point	NOUN
ejpam-6336	224	20	despite	despite	SCONJ
ejpam-6336	224	21	the	the	DET
ejpam-6336	224	22	increasing	increase	VERB
ejpam-6336	224	23	number	number	NOUN
ejpam-6336	224	24	of	of	ADP
ejpam-6336	224	25	disabled	disabled	ADJ
ejpam-6336	224	26	nodes	node	NOUN
ejpam-6336	224	27	that	that	PRON
ejpam-6336	224	28	should	should	AUX
ejpam-6336	224	29	impede	impede	VERB
ejpam-6336	224	30	their	their	PRON
ejpam-6336	224	31	progress	progress	NOUN
ejpam-6336	224	32	.	.	PUNCT
ejpam-6336	225	1	when	when	SCONJ
ejpam-6336	225	2	the	the	DET
ejpam-6336	225	3	value	value	NOUN
ejpam-6336	225	4	of	of	ADP
ejpam-6336	225	5	d	d	PROPN
ejpam-6336	225	6	reaches	reach	VERB
ejpam-6336	225	7	its	its	PRON
ejpam-6336	225	8	critical	critical	ADJ
ejpam-6336	225	9	limit	limit	NOUN
ejpam-6336	225	10	then	then	ADV
ejpam-6336	225	11	attacker	attacker	NOUN
ejpam-6336	225	12	numbers	number	NOUN
ejpam-6336	225	13	start	start	VERB
ejpam-6336	225	14	decreasing	decrease	VERB
ejpam-6336	225	15	rapidly	rapidly	ADV
ejpam-6336	225	16	which	which	PRON
ejpam-6336	225	17	demonstrates	demonstrate	VERB
ejpam-6336	225	18	the	the	DET
ejpam-6336	225	19	system	system	NOUN
ejpam-6336	225	20	’s	’s	PART
ejpam-6336	225	21	ability	ability	NOUN
ejpam-6336	225	22	to	to	PART
ejpam-6336	225	23	limit	limit	VERB
ejpam-6336	225	24	malicious	malicious	ADJ
ejpam-6336	225	25	behavior	behavior	NOUN
ejpam-6336	225	26	.	.	PUNCT
ejpam-6336	226	1	different	different	ADJ
ejpam-6336	226	2	trajectories	trajectory	NOUN
ejpam-6336	226	3	demonstrate	demonstrate	VERB
ejpam-6336	226	4	varying	vary	VERB
ejpam-6336	226	5	levels	level	NOUN
ejpam-6336	226	6	of	of	ADP
ejpam-6336	226	7	curvature	curvature	NOUN
ejpam-6336	226	8	as	as	ADP
ejpam-6336	226	9	another	another	DET
ejpam-6336	226	10	fascinating	fascinating	ADJ
ejpam-6336	226	11	observation	observation	NOUN
ejpam-6336	226	12	.	.	PUNCT
ejpam-6336	227	1	the	the	DET
ejpam-6336	227	2	blue	blue	ADJ
ejpam-6336	227	3	dashed	dash	VERB
ejpam-6336	227	4	line	line	NOUN
ejpam-6336	227	5	(	(	PUNCT
ejpam-6336	227	6	β	β	X
ejpam-6336	227	7	=	=	NUM
ejpam-6336	227	8	0.8	0.8	NUM
ejpam-6336	227	9	,	,	PUNCT
ejpam-6336	227	10	δ	δ	PROPN
ejpam-6336	227	11	=	=	SYM
ejpam-6336	227	12	0.1	0.1	NUM
ejpam-6336	227	13	)	)	PUNCT
ejpam-6336	227	14	represents	represent	VERB
ejpam-6336	227	15	a	a	DET
ejpam-6336	227	16	trajectory	trajectory	NOUN
ejpam-6336	227	17	with	with	ADP
ejpam-6336	227	18	a	a	DET
ejpam-6336	227	19	bulging	bulge	VERB
ejpam-6336	227	20	shape	shape	NOUN
ejpam-6336	227	21	that	that	PRON
ejpam-6336	227	22	increases	increase	VERB
ejpam-6336	227	23	a	a	DET
ejpam-6336	227	24	before	before	ADP
ejpam-6336	227	25	attackers	attacker	NOUN
ejpam-6336	227	26	commence	commence	VERB
ejpam-6336	227	27	their	their	PRON
ejpam-6336	227	28	retreat	retreat	NOUN
ejpam-6336	227	29	.	.	PUNCT
ejpam-6336	228	1	the	the	DET
ejpam-6336	228	2	observed	observed	ADJ
ejpam-6336	228	3	pattern	pattern	NOUN
ejpam-6336	228	4	indicates	indicate	VERB
ejpam-6336	228	5	that	that	SCONJ
ejpam-6336	228	6	high	high	ADJ
ejpam-6336	228	7	infection	infection	NOUN
ejpam-6336	228	8	levels	level	NOUN
ejpam-6336	228	9	allow	allow	VERB
ejpam-6336	228	10	adversaries	adversary	NOUN
ejpam-6336	228	11	to	to	PART
ejpam-6336	228	12	stay	stay	VERB
ejpam-6336	228	13	active	active	ADJ
ejpam-6336	228	14	longer	long	ADV
ejpam-6336	228	15	until	until	SCONJ
ejpam-6336	228	16	their	their	PRON
ejpam-6336	228	17	effectiveness	effectiveness	NOUN
ejpam-6336	228	18	finally	finally	ADV
ejpam-6336	228	19	decreases	decrease	VERB
ejpam-6336	228	20	.	.	PUNCT
ejpam-6336	229	1	a	a	DET
ejpam-6336	229	2	low	low	ADJ
ejpam-6336	229	3	infection	infection	NOUN
ejpam-6336	229	4	rate	rate	NOUN
ejpam-6336	229	5	(	(	PUNCT
ejpam-6336	229	6	β	β	X
ejpam-6336	229	7	=	=	SYM
ejpam-6336	229	8	0.02	0.02	NUM
ejpam-6336	229	9	,	,	PUNCT
ejpam-6336	229	10	δ	δ	PROPN
ejpam-6336	229	11	=	=	SYM
ejpam-6336	229	12	0.23	0.23	NUM
ejpam-6336	229	13	)	)	PUNCT
ejpam-6336	229	14	causes	cause	VERB
ejpam-6336	229	15	the	the	DET
ejpam-6336	229	16	reduction	reduction	NOUN
ejpam-6336	229	17	of	of	ADP
ejpam-6336	229	18	attacker	attacker	ADJ
ejpam-6336	229	19	resilience	resilience	NOUN
ejpam-6336	229	20	to	to	PART
ejpam-6336	229	21	exhibit	exhibit	VERB
ejpam-6336	229	22	a	a	DET
ejpam-6336	229	23	gradual	gradual	ADJ
ejpam-6336	229	24	downward	downward	ADJ
ejpam-6336	229	25	trend	trend	NOUN
ejpam-6336	229	26	which	which	PRON
ejpam-6336	229	27	supports	support	VERB
ejpam-6336	229	28	smooth	smooth	ADJ
ejpam-6336	229	29	control	control	NOUN
ejpam-6336	229	30	of	of	ADP
ejpam-6336	229	31	attacker	attacker	NOUN
ejpam-6336	229	32	activities	activity	NOUN
ejpam-6336	229	33	.	.	PUNCT
ejpam-6336	230	1	figure	figure	NOUN
ejpam-6336	230	2	(	(	PUNCT
ejpam-6336	230	3	6e	6e	NOUN
ejpam-6336	230	4	)	)	PUNCT
ejpam-6336	230	5	demonstrates	demonstrate	VERB
ejpam-6336	230	6	the	the	DET
ejpam-6336	230	7	progressive	progressive	ADJ
ejpam-6336	230	8	relationship	relationship	NOUN
ejpam-6336	230	9	between	between	ADP
ejpam-6336	230	10	botnet	botnet	NOUN
ejpam-6336	230	11	recruitment	recruitment	NOUN
ejpam-6336	230	12	along	along	ADP
ejpam-6336	230	13	with	with	ADP
ejpam-6336	230	14	infection	infection	NOUN
ejpam-6336	230	15	growth	growth	NOUN
ejpam-6336	230	16	through	through	ADP
ejpam-6336	230	17	which	which	PRON
ejpam-6336	230	18	attacker	attacker	NOUN
ejpam-6336	230	19	activity	activity	NOUN
ejpam-6336	230	20	surge	surge	NOUN
ejpam-6336	230	21	(	(	PUNCT
ejpam-6336	230	22	a	a	NOUN
ejpam-6336	230	23	)	)	PUNCT
ejpam-6336	230	24	triggers	trigger	VERB
ejpam-6336	230	25	intense	intense	ADJ
ejpam-6336	230	26	increases	increase	NOUN
ejpam-6336	230	27	in	in	ADP
ejpam-6336	230	28	infected	infected	ADJ
ejpam-6336	230	29	nodes	node	NOUN
ejpam-6336	230	30	(	(	PUNCT
ejpam-6336	230	31	i	i	NOUN
ejpam-6336	230	32	)	)	PUNCT
ejpam-6336	230	33	.	.	PUNCT
ejpam-6336	231	1	therefore	therefore	ADV
ejpam-6336	231	2	,	,	PUNCT
ejpam-6336	231	3	as	as	SCONJ
ejpam-6336	231	4	countermeasures	countermeasure	NOUN
ejpam-6336	231	5	take	take	VERB
ejpam-6336	231	6	effect	effect	NOUN
ejpam-6336	231	7	,	,	PUNCT
ejpam-6336	231	8	the	the	DET
ejpam-6336	231	9	rate	rate	NOUN
ejpam-6336	231	10	of	of	ADP
ejpam-6336	231	11	infection	infection	NOUN
ejpam-6336	231	12	slows	slow	VERB
ejpam-6336	231	13	,	,	PUNCT
ejpam-6336	231	14	causing	cause	VERB
ejpam-6336	231	15	a	a	DET
ejpam-6336	231	16	progressive	progressive	ADJ
ejpam-6336	231	17	contraction	contraction	NOUN
ejpam-6336	231	18	of	of	ADP
ejpam-6336	231	19	the	the	DET
ejpam-6336	231	20	spread	spread	ADJ
ejpam-6336	231	21	trajectory	trajectory	NOUN
ejpam-6336	231	22	.	.	PUNCT
ejpam-6336	232	1	when	when	SCONJ
ejpam-6336	232	2	security	security	NOUN
ejpam-6336	232	3	mechanisms	mechanism	NOUN
ejpam-6336	232	4	activate	activate	VERB
ejpam-6336	232	5	they	they	PRON
ejpam-6336	232	6	produce	produce	VERB
ejpam-6336	232	7	self	self	NOUN
ejpam-6336	232	8	-	-	PUNCT
ejpam-6336	232	9	regulating	regulate	VERB
ejpam-6336	232	10	effects	effect	NOUN
ejpam-6336	232	11	across	across	ADP
ejpam-6336	232	12	cyber	cyber	NOUN
ejpam-6336	232	13	-	-	PUNCT
ejpam-6336	232	14	ecosystems	ecosystem	NOUN
ejpam-6336	232	15	to	to	PART
ejpam-6336	232	16	limit	limit	VERB
ejpam-6336	232	17	the	the	DET
ejpam-6336	232	18	extended	extended	ADJ
ejpam-6336	232	19	damage	damage	NOUN
ejpam-6336	232	20	caused	cause	VERB
ejpam-6336	232	21	by	by	ADP
ejpam-6336	232	22	botnet	botnet	NOUN
ejpam-6336	232	23	intrusion	intrusion	NOUN
ejpam-6336	232	24	.	.	PUNCT
ejpam-6336	233	1	the	the	DET
ejpam-6336	233	2	parameter	parameter	NOUN
ejpam-6336	233	3	changes	change	NOUN
ejpam-6336	233	4	produce	produce	VERB
ejpam-6336	233	5	significant	significant	ADJ
ejpam-6336	233	6	differences	difference	NOUN
ejpam-6336	233	7	in	in	ADP
ejpam-6336	233	8	the	the	DET
ejpam-6336	233	9	scale	scale	NOUN
ejpam-6336	233	10	of	of	ADP
ejpam-6336	233	11	trajectory	trajectory	NOUN
ejpam-6336	233	12	outcomes	outcome	NOUN
ejpam-6336	233	13	.	.	PUNCT
ejpam-6336	234	1	the	the	DET
ejpam-6336	234	2	blue	blue	ADJ
ejpam-6336	234	3	trajectory	trajectory	NOUN
ejpam-6336	234	4	(	(	PUNCT
ejpam-6336	234	5	β	β	X
ejpam-6336	234	6	=	=	NUM
ejpam-6336	234	7	0.8	0.8	NUM
ejpam-6336	234	8	,	,	PUNCT
ejpam-6336	234	9	δ	δ	PROPN
ejpam-6336	234	10	=	=	SYM
ejpam-6336	234	11	0.1	0.1	NUM
ejpam-6336	234	12	)	)	PUNCT
ejpam-6336	234	13	produces	produce	VERB
ejpam-6336	234	14	the	the	DET
ejpam-6336	234	15	widest	wide	ADJ
ejpam-6336	234	16	and	and	CCONJ
ejpam-6336	234	17	largest	large	ADJ
ejpam-6336	234	18	loop	loop	NOUN
ejpam-6336	234	19	due	due	ADP
ejpam-6336	234	20	to	to	ADP
ejpam-6336	234	21	its	its	PRON
ejpam-6336	234	22	combination	combination	NOUN
ejpam-6336	234	23	of	of	ADP
ejpam-6336	234	24	high	high	ADJ
ejpam-6336	234	25	infection	infection	NOUN
ejpam-6336	234	26	rates	rate	NOUN
ejpam-6336	234	27	and	and	CCONJ
ejpam-6336	234	28	weak	weak	ADJ
ejpam-6336	234	29	recovery	recovery	NOUN
ejpam-6336	234	30	mechanisms	mechanism	NOUN
ejpam-6336	234	31	result	result	VERB
ejpam-6336	234	32	in	in	ADP
ejpam-6336	234	33	prolonged	prolonged	ADJ
ejpam-6336	234	34	botnet	botnet	NOUN
ejpam-6336	234	35	activity	activity	NOUN
ejpam-6336	234	36	.	.	PUNCT
ejpam-6336	235	1	conversely	conversely	ADV
ejpam-6336	235	2	,	,	PUNCT
ejpam-6336	235	3	the	the	DET
ejpam-6336	235	4	red	red	ADJ
ejpam-6336	235	5	and	and	CCONJ
ejpam-6336	235	6	green	green	ADJ
ejpam-6336	235	7	curves	curve	NOUN
ejpam-6336	235	8	demonstrate	demonstrate	VERB
ejpam-6336	235	9	tighter	tight	ADJ
ejpam-6336	235	10	loops	loop	NOUN
ejpam-6336	235	11	,	,	PUNCT
ejpam-6336	235	12	where	where	SCONJ
ejpam-6336	235	13	stronger	strong	ADJ
ejpam-6336	235	14	recovery	recovery	NOUN
ejpam-6336	235	15	rates	rate	NOUN
ejpam-6336	235	16	prevent	prevent	VERB
ejpam-6336	235	17	large	large	ADJ
ejpam-6336	235	18	-	-	PUNCT
ejpam-6336	235	19	scale	scale	NOUN
ejpam-6336	235	20	recruitment	recruitment	NOUN
ejpam-6336	235	21	,	,	PUNCT
ejpam-6336	235	22	reinforcing	reinforce	VERB
ejpam-6336	235	23	the	the	DET
ejpam-6336	235	24	importance	importance	NOUN
ejpam-6336	235	25	of	of	ADP
ejpam-6336	235	26	early	early	ADJ
ejpam-6336	235	27	intervention	intervention	NOUN
ejpam-6336	235	28	.	.	PUNCT
ejpam-6336	236	1	the	the	DET
ejpam-6336	236	2	presence	presence	NOUN
ejpam-6336	236	3	of	of	ADP
ejpam-6336	236	4	nonlinear	nonlinear	ADJ
ejpam-6336	236	5	loops	loop	NOUN
ejpam-6336	236	6	and	and	CCONJ
ejpam-6336	236	7	reversals	reversal	NOUN
ejpam-6336	236	8	suggests	suggest	VERB
ejpam-6336	236	9	that	that	SCONJ
ejpam-6336	236	10	botnet	botnet	NOUN
ejpam-6336	236	11	activity	activity	NOUN
ejpam-6336	236	12	is	be	AUX
ejpam-6336	236	13	not	not	PART
ejpam-6336	236	14	a	a	DET
ejpam-6336	236	15	one	one	NUM
ejpam-6336	236	16	-	-	PUNCT
ejpam-6336	236	17	directional	directional	ADJ
ejpam-6336	236	18	process	process	NOUN
ejpam-6336	236	19	but	but	CCONJ
ejpam-6336	236	20	rather	rather	ADV
ejpam-6336	236	21	an	an	DET
ejpam-6336	236	22	adaptive	adaptive	ADJ
ejpam-6336	236	23	cycle	cycle	NOUN
ejpam-6336	236	24	influenced	influence	VERB
ejpam-6336	236	25	by	by	ADP
ejpam-6336	236	26	security	security	NOUN
ejpam-6336	236	27	updates	update	NOUN
ejpam-6336	236	28	,	,	PUNCT
ejpam-6336	236	29	counter	counter	ADJ
ejpam-6336	236	30	-	-	ADJ
ejpam-6336	236	31	offensive	offensive	ADJ
ejpam-6336	236	32	strategies	strategy	NOUN
ejpam-6336	236	33	,	,	PUNCT
ejpam-6336	236	34	and	and	CCONJ
ejpam-6336	236	35	evolving	evolve	VERB
ejpam-6336	236	36	s.	s.	PROPN
ejpam-6336	236	37	ahmad	ahmad	PROPN
ejpam-6336	236	38	,	,	PUNCT
ejpam-6336	236	39	n.	n.	PROPN
ejpam-6336	236	40	ahmad	ahmad	PROPN
ejpam-6336	236	41	,	,	PUNCT
ejpam-6336	236	42	i.	i.	PROPN
ejpam-6336	236	43	shah	shah	PROPN
ejpam-6336	236	44	/	/	SYM
ejpam-6336	236	45	eur	eur	PROPN
ejpam-6336	236	46	.	.	PUNCT
ejpam-6336	237	1	j.	j.	PROPN
ejpam-6336	237	2	pure	pure	PROPN
ejpam-6336	237	3	appl	appl	PROPN
ejpam-6336	237	4	.	.	PROPN
ejpam-6336	237	5	math	math	PROPN
ejpam-6336	237	6	,	,	PUNCT
ejpam-6336	237	7	18	18	NUM
ejpam-6336	237	8	(	(	PUNCT
ejpam-6336	237	9	3	3	NUM
ejpam-6336	237	10	)	)	PUNCT
ejpam-6336	237	11	(	(	PUNCT
ejpam-6336	237	12	2025	2025	NUM
ejpam-6336	237	13	)	)	PUNCT
ejpam-6336	237	14	,	,	PUNCT
ejpam-6336	237	15	6336	6336	NUM
ejpam-6336	237	16	19	19	NUM
ejpam-6336	237	17	of	of	ADP
ejpam-6336	237	18	24	24	NUM
ejpam-6336	237	19	attacker	attacker	NOUN
ejpam-6336	237	20	methodologies	methodology	NOUN
ejpam-6336	237	21	.	.	PUNCT
ejpam-6336	238	1	the	the	DET
ejpam-6336	238	2	contraction	contraction	NOUN
ejpam-6336	238	3	towards	towards	ADP
ejpam-6336	238	4	lower	low	ADJ
ejpam-6336	238	5	values	value	NOUN
ejpam-6336	238	6	of	of	ADP
ejpam-6336	238	7	i	i	PRON
ejpam-6336	238	8	in	in	ADP
ejpam-6336	238	9	some	some	DET
ejpam-6336	238	10	trajectories	trajectory	NOUN
ejpam-6336	238	11	emphasizes	emphasize	VERB
ejpam-6336	238	12	that	that	SCONJ
ejpam-6336	238	13	persistent	persistent	ADJ
ejpam-6336	238	14	defense	defense	NOUN
ejpam-6336	238	15	mechanisms	mechanism	NOUN
ejpam-6336	238	16	can	can	AUX
ejpam-6336	238	17	drive	drive	VERB
ejpam-6336	238	18	the	the	DET
ejpam-6336	238	19	system	system	NOUN
ejpam-6336	238	20	toward	toward	ADP
ejpam-6336	238	21	long	long	ADJ
ejpam-6336	238	22	-	-	PUNCT
ejpam-6336	238	23	term	term	NOUN
ejpam-6336	238	24	stabilization	stabilization	NOUN
ejpam-6336	238	25	,	,	PUNCT
ejpam-6336	238	26	minimizing	minimize	VERB
ejpam-6336	238	27	the	the	DET
ejpam-6336	238	28	threat	threat	NOUN
ejpam-6336	238	29	footprint	footprint	NOUN
ejpam-6336	238	30	.	.	PUNCT
ejpam-6336	239	1	11	11	NUM
ejpam-6336	239	2	.	.	X
ejpam-6336	240	1	sensitivity	sensitivity	NOUN
ejpam-6336	240	2	analysis	analysis	NOUN
ejpam-6336	240	3	of	of	ADP
ejpam-6336	240	4	the	the	DET
ejpam-6336	240	5	basic	basic	ADJ
ejpam-6336	240	6	reproduction	reproduction	NOUN
ejpam-6336	240	7	number	number	NOUN
ejpam-6336	240	8	sensitivity	sensitivity	NOUN
ejpam-6336	240	9	analysis	analysis	NOUN
ejpam-6336	240	10	quantifies	quantify	VERB
ejpam-6336	240	11	the	the	DET
ejpam-6336	240	12	relative	relative	ADJ
ejpam-6336	240	13	impact	impact	NOUN
ejpam-6336	240	14	of	of	ADP
ejpam-6336	240	15	model	model	NOUN
ejpam-6336	240	16	parameters	parameter	NOUN
ejpam-6336	240	17	on	on	ADP
ejpam-6336	240	18	the	the	DET
ejpam-6336	240	19	basic	basic	ADJ
ejpam-6336	240	20	reproduction	reproduction	NOUN
ejpam-6336	240	21	number	number	NOUN
ejpam-6336	240	22	r0	r0	NOUN
ejpam-6336	240	23	,	,	PUNCT
ejpam-6336	240	24	which	which	PRON
ejpam-6336	240	25	determines	determine	VERB
ejpam-6336	240	26	the	the	DET
ejpam-6336	240	27	potential	potential	NOUN
ejpam-6336	240	28	for	for	ADP
ejpam-6336	240	29	the	the	DET
ejpam-6336	240	30	spread	spread	NOUN
ejpam-6336	240	31	of	of	ADP
ejpam-6336	240	32	the	the	DET
ejpam-6336	240	33	infection	infection	NOUN
ejpam-6336	240	34	.	.	PUNCT
ejpam-6336	241	1	in	in	ADP
ejpam-6336	241	2	this	this	DET
ejpam-6336	241	3	section	section	NOUN
ejpam-6336	241	4	we	we	PRON
ejpam-6336	241	5	study	study	VERB
ejpam-6336	241	6	sensitivity	sensitivity	NOUN
ejpam-6336	241	7	analysis	analysis	NOUN
ejpam-6336	241	8	which	which	PRON
ejpam-6336	241	9	helps	help	VERB
ejpam-6336	241	10	to	to	PART
ejpam-6336	241	11	identify	identify	VERB
ejpam-6336	241	12	the	the	DET
ejpam-6336	241	13	most	most	ADV
ejpam-6336	241	14	influential	influential	ADJ
ejpam-6336	241	15	factors	factor	NOUN
ejpam-6336	241	16	affecting	affect	VERB
ejpam-6336	241	17	the	the	DET
ejpam-6336	241	18	spread	spread	NOUN
ejpam-6336	241	19	of	of	ADP
ejpam-6336	241	20	attacks	attack	NOUN
ejpam-6336	241	21	and	and	CCONJ
ejpam-6336	241	22	guides	guide	VERB
ejpam-6336	241	23	the	the	DET
ejpam-6336	241	24	development	development	NOUN
ejpam-6336	241	25	of	of	ADP
ejpam-6336	241	26	effective	effective	ADJ
ejpam-6336	241	27	mitigation	mitigation	NOUN
ejpam-6336	241	28	strategies	strategy	NOUN
ejpam-6336	241	29	.	.	PUNCT
ejpam-6336	242	1	we	we	PRON
ejpam-6336	242	2	employ	employ	VERB
ejpam-6336	242	3	the	the	DET
ejpam-6336	242	4	normalized	normalize	VERB
ejpam-6336	242	5	sensitivity	sensitivity	NOUN
ejpam-6336	242	6	index	index	NOUN
ejpam-6336	242	7	,	,	PUNCT
ejpam-6336	242	8	defined	define	VERB
ejpam-6336	242	9	as	as	ADP
ejpam-6336	242	10	sx	sx	PROPN
ejpam-6336	242	11	=	=	NOUN
ejpam-6336	242	12	x	x	SYM
ejpam-6336	242	13	r0	r0	NOUN
ejpam-6336	242	14	∂r0	∂r0	ADP
ejpam-6336	242	15	∂x	∂x	PROPN
ejpam-6336	242	16	(	(	PUNCT
ejpam-6336	242	17	12	12	NUM
ejpam-6336	242	18	)	)	PUNCT
ejpam-6336	242	19	where	where	SCONJ
ejpam-6336	242	20	x	x	PRON
ejpam-6336	242	21	represents	represent	VERB
ejpam-6336	242	22	any	any	DET
ejpam-6336	242	23	parameter	parameter	NOUN
ejpam-6336	242	24	in	in	ADP
ejpam-6336	242	25	r0	r0	NOUN
ejpam-6336	242	26	.	.	PUNCT
ejpam-6336	243	1	given	give	VERB
ejpam-6336	243	2	the	the	DET
ejpam-6336	243	3	expression	expression	NOUN
ejpam-6336	243	4	for	for	ADP
ejpam-6336	243	5	the	the	DET
ejpam-6336	243	6	basic	basic	ADJ
ejpam-6336	243	7	reproduction	reproduction	NOUN
ejpam-6336	243	8	number	number	NOUN
ejpam-6336	243	9	:	:	PUNCT
ejpam-6336	243	10	r0	r0	NOUN
ejpam-6336	243	11	=	=	SYM
ejpam-6336	244	1	λ(β1(σ	λ(β1(σ	PROPN
ejpam-6336	244	2	+	+	CCONJ
ejpam-6336	244	3	µ	µ	X
ejpam-6336	244	4	)	)	PUNCT
ejpam-6336	244	5	+	+	NUM
ejpam-6336	244	6	β2ρ	β2ρ	NOUN
ejpam-6336	244	7	)	)	PUNCT
ejpam-6336	244	8	µ(σ	µ(σ	PUNCT
ejpam-6336	244	9	+	+	PUNCT
ejpam-6336	244	10	µ)(γ	µ)(γ	ADJ
ejpam-6336	244	11	+	+	SYM
ejpam-6336	244	12	δ	δ	PROPN
ejpam-6336	244	13	+	+	X
ejpam-6336	244	14	µ	µ	X
ejpam-6336	244	15	)	)	PUNCT
ejpam-6336	244	16	(	(	PUNCT
ejpam-6336	244	17	13	13	NUM
ejpam-6336	244	18	)	)	PUNCT
ejpam-6336	244	19	we	we	PRON
ejpam-6336	244	20	compute	compute	VERB
ejpam-6336	244	21	the	the	DET
ejpam-6336	244	22	partial	partial	ADJ
ejpam-6336	244	23	derivatives	derivative	NOUN
ejpam-6336	244	24	:	:	PUNCT
ejpam-6336	244	25	∂r0	∂r0	ADP
ejpam-6336	244	26	∂λ	∂λ	PROPN
ejpam-6336	244	27	=	=	PUNCT
ejpam-6336	244	28	β1(σ+µ)+β2ρ	β1(σ+µ)+β2ρ	PROPN
ejpam-6336	244	29	µ(σ+µ)(γ+δ+µ	µ(σ+µ)(γ+δ+µ	PROPN
ejpam-6336	244	30	)	)	PUNCT
ejpam-6336	244	31	,	,	PUNCT
ejpam-6336	244	32	∂r0	∂r0	ADP
ejpam-6336	244	33	∂β1	∂β1	PROPN
ejpam-6336	244	34	=	=	SYM
ejpam-6336	244	35	λ(σ+µ	λ(σ+µ	PROPN
ejpam-6336	244	36	)	)	PUNCT
ejpam-6336	244	37	µ(σ+µ)(γ+δ+µ	µ(σ+µ)(γ+δ+µ	PROPN
ejpam-6336	244	38	)	)	PUNCT
ejpam-6336	244	39	,	,	PUNCT
ejpam-6336	244	40	∂r0	∂r0	ADP
ejpam-6336	244	41	∂β2	∂β2	ADJ
ejpam-6336	244	42	=	=	PUNCT
ejpam-6336	244	43	λρ	λρ	ADP
ejpam-6336	244	44	µ(σ+µ)(γ+δ+µ	µ(σ+µ)(γ+δ+µ	PROPN
ejpam-6336	244	45	)	)	PUNCT
ejpam-6336	244	46	,	,	PUNCT
ejpam-6336	244	47	∂r0	∂r0	ADP
ejpam-6336	244	48	∂µ	∂µ	PROPN
ejpam-6336	244	49	=	=	PUNCT
ejpam-6336	244	50	−	−	PROPN
ejpam-6336	244	51	λ(β1(σ+µ)+β2ρ	λ(β1(σ+µ)+β2ρ	PROPN
ejpam-6336	244	52	)	)	PUNCT
ejpam-6336	244	53	µ2(σ+µ)(γ+δ+µ	µ2(σ+µ)(γ+δ+µ	ADJ
ejpam-6336	244	54	)	)	PUNCT
ejpam-6336	244	55	,	,	PUNCT
ejpam-6336	244	56	∂r0	∂r0	ADP
ejpam-6336	244	57	∂σ	∂σ	PROPN
ejpam-6336	244	58	=	=	PUNCT
ejpam-6336	244	59	λβ1	λβ1	NOUN
ejpam-6336	244	60	µ(σ+µ)2(γ+δ+µ	µ(σ+µ)2(γ+δ+µ	NOUN
ejpam-6336	244	61	)	)	PUNCT
ejpam-6336	244	62	,	,	PUNCT
ejpam-6336	244	63	∂r0	∂r0	ADP
ejpam-6336	244	64	∂ρ	∂ρ	NOUN
ejpam-6336	245	1	=	=	PUNCT
ejpam-6336	245	2	λβ2	λβ2	PROPN
ejpam-6336	245	3	µ(σ+µ)(γ+δ+µ	µ(σ+µ)(γ+δ+µ	PROPN
ejpam-6336	245	4	)	)	PUNCT
ejpam-6336	245	5	,	,	PUNCT
ejpam-6336	245	6	∂r0	∂r0	ADP
ejpam-6336	245	7	∂γ	∂γ	NOUN
ejpam-6336	245	8	=	=	PUNCT
ejpam-6336	245	9	−	−	PROPN
ejpam-6336	245	10	λ(β1(σ+µ)+β2ρ	λ(β1(σ+µ)+β2ρ	PROPN
ejpam-6336	245	11	)	)	PUNCT
ejpam-6336	245	12	µ(σ+µ)(γ+δ+µ)2	µ(σ+µ)(γ+δ+µ)2	NOUN
ejpam-6336	245	13	,	,	PUNCT
ejpam-6336	245	14	∂r0	∂r0	ADP
ejpam-6336	245	15	∂δ	∂δ	PROPN
ejpam-6336	245	16	=	=	SYM
ejpam-6336	245	17	−	−	PROPN
ejpam-6336	245	18	λ(β1(σ+µ)+β2ρ	λ(β1(σ+µ)+β2ρ	PROPN
ejpam-6336	245	19	)	)	PUNCT
ejpam-6336	245	20	µ(σ+µ)(γ+δ+µ)2	µ(σ+µ)(γ+δ+µ)2	PROPN
ejpam-6336	245	21	.	.	PUNCT
ejpam-6336	246	1	s.	s.	PROPN
ejpam-6336	246	2	ahmad	ahmad	PROPN
ejpam-6336	246	3	,	,	PUNCT
ejpam-6336	246	4	n.	n.	PROPN
ejpam-6336	246	5	ahmad	ahmad	PROPN
ejpam-6336	246	6	,	,	PUNCT
ejpam-6336	246	7	i.	i.	PROPN
ejpam-6336	246	8	shah	shah	PROPN
ejpam-6336	246	9	/	/	SYM
ejpam-6336	246	10	eur	eur	PROPN
ejpam-6336	246	11	.	.	PUNCT
ejpam-6336	247	1	j.	j.	PROPN
ejpam-6336	247	2	pure	pure	PROPN
ejpam-6336	247	3	appl	appl	PROPN
ejpam-6336	247	4	.	.	PROPN
ejpam-6336	247	5	math	math	PROPN
ejpam-6336	247	6	,	,	PUNCT
ejpam-6336	247	7	18	18	NUM
ejpam-6336	247	8	(	(	PUNCT
ejpam-6336	247	9	3	3	NUM
ejpam-6336	247	10	)	)	PUNCT
ejpam-6336	247	11	(	(	PUNCT
ejpam-6336	247	12	2025	2025	NUM
ejpam-6336	247	13	)	)	PUNCT
ejpam-6336	247	14	,	,	PUNCT
ejpam-6336	247	15	6336	6336	NUM
ejpam-6336	247	16	20	20	NUM
ejpam-6336	247	17	of	of	ADP
ejpam-6336	247	18	24	24	NUM
ejpam-6336	247	19	table	table	NOUN
ejpam-6336	247	20	5	5	NUM
ejpam-6336	247	21	:	:	PUNCT
ejpam-6336	247	22	sensitivity	sensitivity	NOUN
ejpam-6336	247	23	values	value	NOUN
ejpam-6336	247	24	parameter	parameter	PROPN
ejpam-6336	247	25	sensitivity	sensitivity	NOUN
ejpam-6336	247	26	index	index	NOUN
ejpam-6336	247	27	sλ	sλ	NOUN
ejpam-6336	247	28	1	1	NUM
ejpam-6336	247	29	sβ1	sβ1	NOUN
ejpam-6336	247	30	β1(σ+µ	β1(σ+µ	NOUN
ejpam-6336	247	31	)	)	PUNCT
ejpam-6336	247	32	β1(σ+µ)+β2ρ	β1(σ+µ)+β2ρ	ADJ
ejpam-6336	248	1	sβ2	sβ2	NOUN
ejpam-6336	249	1	β2ρ	β2ρ	PUNCT
ejpam-6336	249	2	β1(σ+µ)+β2ρ	β1(σ+µ)+β2ρ	PROPN
ejpam-6336	249	3	sµ	sµ	ADP
ejpam-6336	249	4	−1	−1	PROPN
ejpam-6336	249	5	sσ	sσ	PROPN
ejpam-6336	249	6	σ	σ	X
ejpam-6336	249	7	σ+µ	σ+µ	PROPN
ejpam-6336	249	8	sρ	sρ	ADP
ejpam-6336	249	9	ρβ2	ρβ2	PRON
ejpam-6336	249	10	β1(σ+µ)+β2ρ	β1(σ+µ)+β2ρ	VERB
ejpam-6336	249	11	sγ	sγ	INTJ
ejpam-6336	249	12	,	,	PUNCT
ejpam-6336	249	13	sδ	sδ	ADP
ejpam-6336	249	14	−	−	PROPN
ejpam-6336	249	15	γ+δ	γ+δ	NUM
ejpam-6336	249	16	γ+δ+µ	γ+δ+µ	NOUN
ejpam-6336	249	17	parameter	parameter	NOUN
ejpam-6336	249	18	sensitivity	sensitivity	NOUN
ejpam-6336	249	19	index	index	NOUN
ejpam-6336	249	20	sx	sx	PROPN
ejpam-6336	249	21	interpretation	interpretation	NOUN
ejpam-6336	249	22	sλ	sλ	NOUN
ejpam-6336	249	23	1.00	1.00	NUM
ejpam-6336	249	24	r0	r0	NOUN
ejpam-6336	249	25	increases	increase	NOUN
ejpam-6336	249	26	proportionally	proportionally	ADV
ejpam-6336	249	27	with	with	ADP
ejpam-6336	249	28	λ	λ	PROPN
ejpam-6336	249	29	sβ1	sβ1	NOUN
ejpam-6336	249	30	0.625	0.625	NUM
ejpam-6336	249	31	10	10	NUM
ejpam-6336	249	32	%	%	NOUN
ejpam-6336	249	33	increase	increase	NOUN
ejpam-6336	249	34	in	in	ADP
ejpam-6336	249	35	β1	β1	PROPN
ejpam-6336	249	36	increases	increase	VERB
ejpam-6336	249	37	r0	r0	NOUN
ejpam-6336	249	38	by	by	ADP
ejpam-6336	249	39	6.25	6.25	NUM
ejpam-6336	249	40	%	%	NOUN
ejpam-6336	249	41	sβ2	sβ2	NOUN
ejpam-6336	249	42	0.375	0.375	NUM
ejpam-6336	249	43	10	10	NUM
ejpam-6336	249	44	%	%	NOUN
ejpam-6336	249	45	increase	increase	NOUN
ejpam-6336	249	46	in	in	ADP
ejpam-6336	249	47	β2	β2	NOUN
ejpam-6336	249	48	increases	increase	VERB
ejpam-6336	249	49	r0	r0	NOUN
ejpam-6336	249	50	by	by	ADP
ejpam-6336	249	51	3.75	3.75	NUM
ejpam-6336	249	52	%	%	NOUN
ejpam-6336	249	53	sµ	sµ	NOUN
ejpam-6336	249	54	−1.00	−1.00	ADV
ejpam-6336	249	55	10	10	NUM
ejpam-6336	249	56	%	%	NOUN
ejpam-6336	249	57	increase	increase	NOUN
ejpam-6336	249	58	in	in	ADP
ejpam-6336	249	59	µ	µ	PRON
ejpam-6336	249	60	decreases	decrease	NOUN
ejpam-6336	249	61	r0	r0	NOUN
ejpam-6336	249	62	by	by	ADP
ejpam-6336	249	63	10	10	NUM
ejpam-6336	249	64	%	%	NOUN
ejpam-6336	249	65	sσ	sσ	NOUN
ejpam-6336	249	66	0.80	0.80	NUM
ejpam-6336	249	67	10	10	NUM
ejpam-6336	249	68	%	%	NOUN
ejpam-6336	249	69	increase	increase	NOUN
ejpam-6336	249	70	in	in	ADP
ejpam-6336	249	71	σ	σ	PROPN
ejpam-6336	249	72	increases	increase	NOUN
ejpam-6336	249	73	r0	r0	NOUN
ejpam-6336	249	74	by	by	ADP
ejpam-6336	249	75	8	8	NUM
ejpam-6336	249	76	%	%	NOUN
ejpam-6336	249	77	sρ	sρ	ADP
ejpam-6336	249	78	0.375	0.375	NUM
ejpam-6336	249	79	10	10	NUM
ejpam-6336	249	80	%	%	NOUN
ejpam-6336	249	81	increase	increase	NOUN
ejpam-6336	249	82	in	in	ADP
ejpam-6336	249	83	ρ	ρ	PROPN
ejpam-6336	249	84	increases	increase	NOUN
ejpam-6336	249	85	r0	r0	NOUN
ejpam-6336	249	86	by	by	ADP
ejpam-6336	249	87	3.75	3.75	NUM
ejpam-6336	249	88	%	%	NOUN
ejpam-6336	249	89	sγ	sγ	NOUN
ejpam-6336	249	90	,	,	PUNCT
ejpam-6336	249	91	sδ	sδ	VERB
ejpam-6336	249	92	0.2	0.2	NUM
ejpam-6336	249	93	10	10	NUM
ejpam-6336	249	94	%	%	NOUN
ejpam-6336	249	95	increase	increase	NOUN
ejpam-6336	249	96	in	in	ADP
ejpam-6336	249	97	γ	γ	PROPN
ejpam-6336	249	98	,	,	PUNCT
ejpam-6336	249	99	δ	δ	PROPN
ejpam-6336	249	100	decreases	decrease	VERB
ejpam-6336	249	101	r0	r0	NOUN
ejpam-6336	249	102	by	by	ADP
ejpam-6336	249	103	7.5	7.5	NUM
ejpam-6336	249	104	%	%	NOUN
ejpam-6336	249	105	table	table	NOUN
ejpam-6336	249	106	6	6	NUM
ejpam-6336	249	107	:	:	PUNCT
ejpam-6336	249	108	sensitivity	sensitivity	NOUN
ejpam-6336	249	109	indices	index	NOUN
ejpam-6336	249	110	of	of	ADP
ejpam-6336	249	111	model	model	NOUN
ejpam-6336	249	112	parameters	parameter	NOUN
ejpam-6336	249	113	.	.	PUNCT
ejpam-6336	250	1	s.	s.	PROPN
ejpam-6336	250	2	ahmad	ahmad	PROPN
ejpam-6336	250	3	,	,	PUNCT
ejpam-6336	250	4	n.	n.	PROPN
ejpam-6336	250	5	ahmad	ahmad	PROPN
ejpam-6336	250	6	,	,	PUNCT
ejpam-6336	250	7	i.	i.	PROPN
ejpam-6336	250	8	shah	shah	PROPN
ejpam-6336	250	9	/	/	SYM
ejpam-6336	250	10	eur	eur	PROPN
ejpam-6336	250	11	.	.	PUNCT
ejpam-6336	251	1	j.	j.	PROPN
ejpam-6336	251	2	pure	pure	PROPN
ejpam-6336	251	3	appl	appl	PROPN
ejpam-6336	251	4	.	.	PROPN
ejpam-6336	251	5	math	math	PROPN
ejpam-6336	251	6	,	,	PUNCT
ejpam-6336	251	7	18	18	NUM
ejpam-6336	251	8	(	(	PUNCT
ejpam-6336	251	9	3	3	NUM
ejpam-6336	251	10	)	)	PUNCT
ejpam-6336	251	11	(	(	PUNCT
ejpam-6336	251	12	2025	2025	NUM
ejpam-6336	251	13	)	)	PUNCT
ejpam-6336	251	14	,	,	PUNCT
ejpam-6336	251	15	6336	6336	NUM
ejpam-6336	251	16	21	21	NUM
ejpam-6336	251	17	of	of	ADP
ejpam-6336	251	18	24	24	NUM
ejpam-6336	251	19	figure	figure	NOUN
ejpam-6336	251	20	7	7	NUM
ejpam-6336	251	21	:	:	PUNCT
ejpam-6336	251	22	state	state	NOUN
ejpam-6336	251	23	-	-	PUNCT
ejpam-6336	251	24	space	space	NOUN
ejpam-6336	251	25	trajectory	trajectory	NOUN
ejpam-6336	251	26	towards	towards	ADP
ejpam-6336	251	27	virus	virus	NOUN
ejpam-6336	251	28	-	-	PUNCT
ejpam-6336	251	29	free	free	ADJ
ejpam-6336	251	30	equilibrium	equilibrium	NOUN
ejpam-6336	251	31	in	in	ADP
ejpam-6336	251	32	fig	fig	NOUN
ejpam-6336	251	33	.	.	PUNCT
ejpam-6336	252	1	7	7	NUM
ejpam-6336	252	2	,	,	PUNCT
ejpam-6336	252	3	the	the	DET
ejpam-6336	252	4	network	network	NOUN
ejpam-6336	252	5	expansion	expansion	NOUN
ejpam-6336	252	6	rate	rate	NOUN
ejpam-6336	252	7	(	(	PUNCT
ejpam-6336	252	8	λ	λ	NOUN
ejpam-6336	252	9	)	)	PUNCT
ejpam-6336	252	10	exhibits	exhibit	VERB
ejpam-6336	252	11	the	the	DET
ejpam-6336	252	12	strongest	strong	ADJ
ejpam-6336	252	13	positive	positive	ADJ
ejpam-6336	252	14	influence	influence	NOUN
ejpam-6336	252	15	(	(	PUNCT
ejpam-6336	252	16	sλ	sλ	NOUN
ejpam-6336	252	17	=	=	SYM
ejpam-6336	252	18	1	1	NUM
ejpam-6336	252	19	)	)	PUNCT
ejpam-6336	252	20	,	,	PUNCT
ejpam-6336	252	21	underscoring	underscore	VERB
ejpam-6336	252	22	that	that	SCONJ
ejpam-6336	252	23	broader	broad	ADJ
ejpam-6336	252	24	network	network	NOUN
ejpam-6336	252	25	connectivity	connectivity	NOUN
ejpam-6336	252	26	exacerbates	exacerbate	VERB
ejpam-6336	252	27	cyberattack	cyberattack	NOUN
ejpam-6336	252	28	propagation	propagation	NOUN
ejpam-6336	252	29	.	.	PUNCT
ejpam-6336	253	1	transmission	transmission	NOUN
ejpam-6336	253	2	rates	rate	NOUN
ejpam-6336	253	3	(	(	PUNCT
ejpam-6336	253	4	β1	β1	NOUN
ejpam-6336	253	5	,	,	PUNCT
ejpam-6336	253	6	β2	β2	PROPN
ejpam-6336	253	7	)	)	PUNCT
ejpam-6336	253	8	also	also	ADV
ejpam-6336	253	9	contribute	contribute	VERB
ejpam-6336	253	10	positively	positively	ADV
ejpam-6336	253	11	(	(	PUNCT
ejpam-6336	253	12	sβ1	sβ1	NOUN
ejpam-6336	253	13	=	=	PUNCT
ejpam-6336	253	14	0.625	0.625	NUM
ejpam-6336	253	15	,	,	PUNCT
ejpam-6336	253	16	sβ2	sβ2	NOUN
ejpam-6336	253	17	=	=	NOUN
ejpam-6336	253	18	0.375	0.375	NUM
ejpam-6336	253	19	)	)	PUNCT
ejpam-6336	253	20	,	,	PUNCT
ejpam-6336	253	21	highlighting	highlight	VERB
ejpam-6336	253	22	the	the	DET
ejpam-6336	253	23	need	need	NOUN
ejpam-6336	253	24	to	to	PART
ejpam-6336	253	25	mitigate	mitigate	VERB
ejpam-6336	253	26	both	both	PRON
ejpam-6336	253	27	direct	direct	ADJ
ejpam-6336	253	28	infections	infection	NOUN
ejpam-6336	253	29	and	and	CCONJ
ejpam-6336	253	30	botnet	botnet	NOUN
ejpam-6336	253	31	-	-	PUNCT
ejpam-6336	253	32	driven	drive	VERB
ejpam-6336	253	33	attacks	attack	NOUN
ejpam-6336	253	34	.	.	PUNCT
ejpam-6336	254	1	conversely	conversely	ADV
ejpam-6336	254	2	,	,	PUNCT
ejpam-6336	254	3	the	the	DET
ejpam-6336	254	4	node	node	ADJ
ejpam-6336	254	5	removal	removal	NOUN
ejpam-6336	254	6	rate	rate	NOUN
ejpam-6336	254	7	(	(	PUNCT
ejpam-6336	254	8	µ	µ	NOUN
ejpam-6336	254	9	)	)	PUNCT
ejpam-6336	254	10	shows	show	VERB
ejpam-6336	254	11	the	the	DET
ejpam-6336	254	12	most	most	ADV
ejpam-6336	254	13	pronounced	pronounced	ADJ
ejpam-6336	254	14	negative	negative	ADJ
ejpam-6336	254	15	effect	effect	NOUN
ejpam-6336	254	16	(	(	PUNCT
ejpam-6336	254	17	sµ	sµ	NOUN
ejpam-6336	254	18	=	=	SYM
ejpam-6336	254	19	−1.0	−1.0	PROPN
ejpam-6336	254	20	)	)	PUNCT
ejpam-6336	254	21	,	,	PUNCT
ejpam-6336	254	22	confirming	confirm	VERB
ejpam-6336	254	23	that	that	SCONJ
ejpam-6336	254	24	decommissioning	decommission	VERB
ejpam-6336	254	25	compromised	compromise	VERB
ejpam-6336	254	26	devices	device	NOUN
ejpam-6336	254	27	curtails	curtail	VERB
ejpam-6336	254	28	attack	attack	NOUN
ejpam-6336	254	29	persistence	persistence	NOUN
ejpam-6336	254	30	.	.	PUNCT
ejpam-6336	255	1	notably	notably	ADV
ejpam-6336	255	2	,	,	PUNCT
ejpam-6336	255	3	while	while	SCONJ
ejpam-6336	255	4	the	the	DET
ejpam-6336	255	5	parameter	parameter	PROPN
ejpam-6336	255	6	δ	δ	PROPN
ejpam-6336	255	7	(	(	PUNCT
ejpam-6336	255	8	rate	rate	NOUN
ejpam-6336	255	9	of	of	ADP
ejpam-6336	255	10	permanent	permanent	ADJ
ejpam-6336	255	11	node	node	ADJ
ejpam-6336	255	12	damage	damage	NOUN
ejpam-6336	255	13	)	)	PUNCT
ejpam-6336	255	14	reduces	reduce	VERB
ejpam-6336	255	15	the	the	DET
ejpam-6336	255	16	infected	infected	ADJ
ejpam-6336	255	17	pool	pool	NOUN
ejpam-6336	255	18	by	by	ADP
ejpam-6336	255	19	disabling	disable	VERB
ejpam-6336	255	20	nodes	node	NOUN
ejpam-6336	255	21	thereby	thereby	ADV
ejpam-6336	255	22	lowering	lower	VERB
ejpam-6336	255	23	r0	r0	NOUN
ejpam-6336	255	24	(	(	PUNCT
ejpam-6336	255	25	sδ	sδ	PROPN
ejpam-6336	255	26	=	=	SYM
ejpam-6336	255	27	−0.75	−0.75	X
ejpam-6336	255	28	)	)	PUNCT
ejpam-6336	255	29	it	it	PRON
ejpam-6336	255	30	represents	represent	VERB
ejpam-6336	255	31	a	a	DET
ejpam-6336	255	32	trade	trade	NOUN
ejpam-6336	255	33	-	-	PUNCT
ejpam-6336	255	34	off	off	NOUN
ejpam-6336	255	35	between	between	ADP
ejpam-6336	255	36	network	network	NOUN
ejpam-6336	255	37	attrition	attrition	NOUN
ejpam-6336	255	38	and	and	CCONJ
ejpam-6336	255	39	infection	infection	NOUN
ejpam-6336	255	40	control	control	NOUN
ejpam-6336	255	41	.	.	PUNCT
ejpam-6336	256	1	similarly	similarly	ADV
ejpam-6336	256	2	,	,	PUNCT
ejpam-6336	256	3	recovery	recovery	NOUN
ejpam-6336	256	4	measures	measure	NOUN
ejpam-6336	256	5	(	(	PUNCT
ejpam-6336	256	6	γ	γ	NOUN
ejpam-6336	256	7	)	)	PUNCT
ejpam-6336	256	8	enhance	enhance	VERB
ejpam-6336	256	9	stability	stability	NOUN
ejpam-6336	256	10	(	(	PUNCT
ejpam-6336	256	11	sγ	sγ	NOUN
ejpam-6336	256	12	=	=	PUNCT
ejpam-6336	256	13	−0.75	−0.75	ADJ
ejpam-6336	256	14	)	)	PUNCT
ejpam-6336	256	15	,	,	PUNCT
ejpam-6336	256	16	emphasizing	emphasize	VERB
ejpam-6336	256	17	the	the	DET
ejpam-6336	256	18	value	value	NOUN
ejpam-6336	256	19	of	of	ADP
ejpam-6336	256	20	rapid	rapid	ADJ
ejpam-6336	256	21	remediation	remediation	NOUN
ejpam-6336	256	22	.	.	PUNCT
ejpam-6336	257	1	the	the	DET
ejpam-6336	257	2	heat	heat	NOUN
ejpam-6336	257	3	-	-	PUNCT
ejpam-6336	257	4	map	map	NOUN
ejpam-6336	257	5	comparatively	comparatively	ADV
ejpam-6336	257	6	visualizes	visualize	VERB
ejpam-6336	257	7	parameter	parameter	NOUN
ejpam-6336	257	8	impacts	impact	NOUN
ejpam-6336	257	9	on	on	ADP
ejpam-6336	257	10	r0	r0	NOUN
ejpam-6336	257	11	.	.	PUNCT
ejpam-6336	258	1	positive	positive	ADJ
ejpam-6336	258	2	sensitivity	sensitivity	NOUN
ejpam-6336	258	3	values	value	NOUN
ejpam-6336	258	4	(	(	PUNCT
ejpam-6336	258	5	s	s	X
ejpam-6336	258	6	>	>	X
ejpam-6336	258	7	0	0	NUM
ejpam-6336	258	8	)	)	PUNCT
ejpam-6336	258	9	denote	denote	VERB
ejpam-6336	258	10	heightened	heighten	VERB
ejpam-6336	258	11	vulnerability	vulnerability	NOUN
ejpam-6336	258	12	with	with	ADP
ejpam-6336	258	13	increasing	increase	VERB
ejpam-6336	258	14	parameter	parameter	NOUN
ejpam-6336	258	15	magnitudes	magnitude	NOUN
ejpam-6336	258	16	,	,	PUNCT
ejpam-6336	258	17	whereas	whereas	SCONJ
ejpam-6336	258	18	negative	negative	ADJ
ejpam-6336	258	19	values	value	NOUN
ejpam-6336	258	20	(	(	PUNCT
ejpam-6336	258	21	s	s	AUX
ejpam-6336	258	22	<	<	X
ejpam-6336	258	23	0	0	NUM
ejpam-6336	258	24	)	)	PUNCT
ejpam-6336	258	25	reflect	reflect	VERB
ejpam-6336	258	26	stabilizing	stabilizing	NOUN
ejpam-6336	258	27	effects	effect	NOUN
ejpam-6336	258	28	,	,	PUNCT
ejpam-6336	258	29	guiding	guide	VERB
ejpam-6336	258	30	targeted	target	VERB
ejpam-6336	258	31	cybersecurity	cybersecurity	NOUN
ejpam-6336	258	32	interventions	intervention	NOUN
ejpam-6336	258	33	.	.	PUNCT
ejpam-6336	259	1	12	12	NUM
ejpam-6336	259	2	.	.	PUNCT
ejpam-6336	259	3	conclusion	conclusion	NOUN
ejpam-6336	259	4	this	this	DET
ejpam-6336	259	5	study	study	NOUN
ejpam-6336	259	6	introduces	introduce	VERB
ejpam-6336	259	7	the	the	DET
ejpam-6336	259	8	general	general	ADJ
ejpam-6336	259	9	methodology	methodology	NOUN
ejpam-6336	259	10	of	of	ADP
ejpam-6336	259	11	modeling	model	VERB
ejpam-6336	259	12	the	the	DET
ejpam-6336	259	13	dynamics	dynamic	NOUN
ejpam-6336	259	14	of	of	ADP
ejpam-6336	259	15	propagation	propagation	NOUN
ejpam-6336	259	16	for	for	ADP
ejpam-6336	259	17	cyberattacks	cyberattack	NOUN
ejpam-6336	259	18	in	in	ADP
ejpam-6336	259	19	computer	computer	NOUN
ejpam-6336	259	20	networks	network	NOUN
ejpam-6336	259	21	based	base	VERB
ejpam-6336	259	22	on	on	ADP
ejpam-6336	259	23	the	the	DET
ejpam-6336	259	24	effects	effect	NOUN
ejpam-6336	259	25	of	of	ADP
ejpam-6336	259	26	locally	locally	ADV
ejpam-6336	259	27	spreading	spread	VERB
ejpam-6336	259	28	awareness	awareness	NOUN
ejpam-6336	259	29	to	to	PART
ejpam-6336	259	30	reduce	reduce	VERB
ejpam-6336	259	31	the	the	DET
ejpam-6336	259	32	risk	risk	NOUN
ejpam-6336	259	33	of	of	ADP
ejpam-6336	259	34	widespread	widespread	ADJ
ejpam-6336	259	35	infections	infection	NOUN
ejpam-6336	259	36	.	.	PUNCT
ejpam-6336	260	1	the	the	DET
ejpam-6336	260	2	difference	difference	NOUN
ejpam-6336	260	3	between	between	ADP
ejpam-6336	260	4	this	this	PRON
ejpam-6336	260	5	and	and	CCONJ
ejpam-6336	260	6	all	all	DET
ejpam-6336	260	7	earlier	early	ADJ
ejpam-6336	260	8	models	model	NOUN
ejpam-6336	260	9	is	be	AUX
ejpam-6336	260	10	the	the	DET
ejpam-6336	260	11	assumption	assumption	NOUN
ejpam-6336	260	12	that	that	SCONJ
ejpam-6336	260	13	there	there	PRON
ejpam-6336	260	14	is	be	VERB
ejpam-6336	260	15	no	no	DET
ejpam-6336	260	16	permanent	permanent	ADJ
ejpam-6336	260	17	immunity	immunity	NOUN
ejpam-6336	260	18	after	after	ADP
ejpam-6336	260	19	infection	infection	NOUN
ejpam-6336	260	20	,	,	PUNCT
ejpam-6336	260	21	that	that	ADV
ejpam-6336	260	22	is	is	ADV
ejpam-6336	260	23	,	,	PUNCT
ejpam-6336	260	24	the	the	DET
ejpam-6336	260	25	recovered	recover	VERB
ejpam-6336	260	26	computer	computer	NOUN
ejpam-6336	260	27	becomes	become	VERB
ejpam-6336	260	28	susceptible	susceptible	ADJ
ejpam-6336	260	29	once	once	ADV
ejpam-6336	260	30	again	again	ADV
ejpam-6336	260	31	.	.	PUNCT
ejpam-6336	261	1	drawing	draw	VERB
ejpam-6336	261	2	parallels	parallel	NOUN
ejpam-6336	261	3	to	to	ADP
ejpam-6336	261	4	the	the	DET
ejpam-6336	261	5	biological	biological	ADJ
ejpam-6336	261	6	virus	virus	NOUN
ejpam-6336	261	7	,	,	PUNCT
ejpam-6336	261	8	we	we	PRON
ejpam-6336	261	9	analyze	analyze	VERB
ejpam-6336	261	10	the	the	DET
ejpam-6336	261	11	interactions	interaction	NOUN
ejpam-6336	261	12	among	among	ADP
ejpam-6336	261	13	key	key	ADJ
ejpam-6336	261	14	parameters	parameter	NOUN
ejpam-6336	261	15	and	and	CCONJ
ejpam-6336	261	16	validate	validate	VERB
ejpam-6336	261	17	the	the	DET
ejpam-6336	261	18	model	model	NOUN
ejpam-6336	261	19	s.	s.	PROPN
ejpam-6336	261	20	ahmad	ahmad	PROPN
ejpam-6336	261	21	,	,	PUNCT
ejpam-6336	261	22	n.	n.	PROPN
ejpam-6336	261	23	ahmad	ahmad	PROPN
ejpam-6336	261	24	,	,	PUNCT
ejpam-6336	261	25	i.	i.	PROPN
ejpam-6336	261	26	shah	shah	PROPN
ejpam-6336	261	27	/	/	SYM
ejpam-6336	261	28	eur	eur	PROPN
ejpam-6336	261	29	.	.	PUNCT
ejpam-6336	262	1	j.	j.	PROPN
ejpam-6336	262	2	pure	pure	PROPN
ejpam-6336	262	3	appl	appl	PROPN
ejpam-6336	262	4	.	.	PROPN
ejpam-6336	262	5	math	math	PROPN
ejpam-6336	262	6	,	,	PUNCT
ejpam-6336	262	7	18	18	NUM
ejpam-6336	262	8	(	(	PUNCT
ejpam-6336	262	9	3	3	NUM
ejpam-6336	262	10	)	)	PUNCT
ejpam-6336	262	11	(	(	PUNCT
ejpam-6336	262	12	2025	2025	NUM
ejpam-6336	262	13	)	)	PUNCT
ejpam-6336	262	14	,	,	PUNCT
ejpam-6336	262	15	6336	6336	NUM
ejpam-6336	262	16	22	22	NUM
ejpam-6336	262	17	of	of	ADP
ejpam-6336	262	18	24	24	NUM
ejpam-6336	262	19	through	through	ADP
ejpam-6336	262	20	mathematical	mathematical	ADJ
ejpam-6336	262	21	inspection	inspection	NOUN
ejpam-6336	262	22	of	of	ADP
ejpam-6336	262	23	its	its	PRON
ejpam-6336	262	24	steady	steady	ADJ
ejpam-6336	262	25	-	-	PUNCT
ejpam-6336	262	26	state	state	NOUN
ejpam-6336	262	27	behavior	behavior	NOUN
ejpam-6336	262	28	.	.	PUNCT
ejpam-6336	263	1	the	the	DET
ejpam-6336	263	2	study	study	NOUN
ejpam-6336	263	3	touches	touch	VERB
ejpam-6336	263	4	upon	upon	SCONJ
ejpam-6336	263	5	some	some	DET
ejpam-6336	263	6	critical	critical	ADJ
ejpam-6336	263	7	aspects	aspect	NOUN
ejpam-6336	263	8	positivity	positivity	NOUN
ejpam-6336	263	9	and	and	CCONJ
ejpam-6336	263	10	invariant	invariant	ADJ
ejpam-6336	263	11	regions	region	NOUN
ejpam-6336	263	12	,	,	PUNCT
ejpam-6336	263	13	virus	virus	NOUN
ejpam-6336	263	14	-	-	PUNCT
ejpam-6336	263	15	free	free	ADJ
ejpam-6336	263	16	equilibrium	equilibrium	NOUN
ejpam-6336	263	17	and	and	CCONJ
ejpam-6336	263	18	endemic	endemic	ADJ
ejpam-6336	263	19	equilibrium	equilibrium	NOUN
ejpam-6336	263	20	,	,	PUNCT
ejpam-6336	263	21	the	the	DET
ejpam-6336	263	22	basic	basic	ADJ
ejpam-6336	263	23	reproduction	reproduction	NOUN
ejpam-6336	263	24	number	number	NOUN
ejpam-6336	263	25	r0	r0	NOUN
ejpam-6336	263	26	,	,	PUNCT
ejpam-6336	263	27	and	and	CCONJ
ejpam-6336	263	28	stability	stability	NOUN
ejpam-6336	263	29	conditions	condition	NOUN
ejpam-6336	263	30	for	for	ADP
ejpam-6336	263	31	virus	virus	NOUN
ejpam-6336	263	32	-	-	PUNCT
ejpam-6336	263	33	free	free	ADJ
ejpam-6336	263	34	equilibrium	equilibrium	NOUN
ejpam-6336	263	35	.	.	PUNCT
ejpam-6336	264	1	further	further	ADJ
ejpam-6336	264	2	dynamical	dynamical	ADJ
ejpam-6336	264	3	discussions	discussion	NOUN
ejpam-6336	264	4	are	be	AUX
ejpam-6336	264	5	induced	induce	VERB
ejpam-6336	264	6	via	via	ADP
ejpam-6336	264	7	exhaustive	exhaustive	ADJ
ejpam-6336	264	8	graphical	graphical	ADJ
ejpam-6336	264	9	representations	representation	NOUN
ejpam-6336	264	10	on	on	ADP
ejpam-6336	264	11	factors	factor	NOUN
ejpam-6336	264	12	such	such	ADJ
ejpam-6336	264	13	as	as	ADP
ejpam-6336	264	14	influence	influence	NOUN
ejpam-6336	264	15	due	due	ADP
ejpam-6336	264	16	to	to	ADP
ejpam-6336	264	17	active	active	ADJ
ejpam-6336	264	18	malware	malware	NOUN
ejpam-6336	264	19	nodes	node	NOUN
ejpam-6336	264	20	,	,	PUNCT
ejpam-6336	264	21	the	the	DET
ejpam-6336	264	22	incubation	incubation	NOUN
ejpam-6336	264	23	period	period	NOUN
ejpam-6336	264	24	of	of	ADP
ejpam-6336	264	25	threats	threat	NOUN
ejpam-6336	264	26	,	,	PUNCT
ejpam-6336	264	27	effectiveness	effectiveness	NOUN
ejpam-6336	264	28	of	of	ADP
ejpam-6336	264	29	security	security	NOUN
ejpam-6336	264	30	measures	measure	NOUN
ejpam-6336	264	31	,	,	PUNCT
ejpam-6336	264	32	and	and	CCONJ
ejpam-6336	264	33	attacker	attacker	NOUN
ejpam-6336	264	34	persistence	persistence	NOUN
ejpam-6336	264	35	.	.	PUNCT
ejpam-6336	265	1	in	in	ADP
ejpam-6336	265	2	addition	addition	NOUN
ejpam-6336	265	3	to	to	ADP
ejpam-6336	265	4	other	other	ADJ
ejpam-6336	265	5	results	result	NOUN
ejpam-6336	265	6	,	,	PUNCT
ejpam-6336	265	7	this	this	DET
ejpam-6336	265	8	research	research	NOUN
ejpam-6336	265	9	throws	throw	VERB
ejpam-6336	265	10	more	more	ADJ
ejpam-6336	265	11	light	light	NOUN
ejpam-6336	265	12	on	on	ADP
ejpam-6336	265	13	both	both	DET
ejpam-6336	265	14	recruitment	recruitment	NOUN
ejpam-6336	265	15	in	in	ADP
ejpam-6336	265	16	the	the	DET
ejpam-6336	265	17	net	net	NOUN
ejpam-6336	265	18	and	and	CCONJ
ejpam-6336	265	19	carries	carry	VERB
ejpam-6336	265	20	out	out	ADP
ejpam-6336	265	21	a	a	DET
ejpam-6336	265	22	sensitivity	sensitivity	NOUN
ejpam-6336	265	23	analysis	analysis	NOUN
ejpam-6336	265	24	for	for	ADP
ejpam-6336	265	25	r0	r0	NOUN
ejpam-6336	265	26	.	.	PUNCT
ejpam-6336	266	1	this	this	PRON
ejpam-6336	266	2	indicates	indicate	VERB
ejpam-6336	266	3	the	the	DET
ejpam-6336	266	4	model	model	NOUN
ejpam-6336	266	5	can	can	AUX
ejpam-6336	266	6	best	well	ADV
ejpam-6336	266	7	be	be	AUX
ejpam-6336	266	8	used	use	VERB
ejpam-6336	266	9	as	as	ADP
ejpam-6336	266	10	an	an	DET
ejpam-6336	266	11	effective	effective	ADJ
ejpam-6336	266	12	instrument	instrument	NOUN
ejpam-6336	266	13	in	in	ADP
ejpam-6336	266	14	the	the	DET
ejpam-6336	266	15	interpretation	interpretation	NOUN
ejpam-6336	266	16	and	and	CCONJ
ejpam-6336	266	17	control	control	NOUN
ejpam-6336	266	18	of	of	ADP
ejpam-6336	266	19	network	network	NOUN
ejpam-6336	266	20	-	-	PUNCT
ejpam-6336	266	21	based	base	VERB
ejpam-6336	266	22	cyber	cyber	NOUN
ejpam-6336	266	23	threats	threat	NOUN
ejpam-6336	266	24	.	.	PUNCT
ejpam-6336	267	1	simulation	simulation	NOUN
ejpam-6336	267	2	results	result	VERB
ejpam-6336	267	3	affirm	affirm	NOUN
ejpam-6336	267	4	that	that	SCONJ
ejpam-6336	267	5	it	it	PRON
ejpam-6336	267	6	accurately	accurately	ADV
ejpam-6336	267	7	captures	capture	VERB
ejpam-6336	267	8	the	the	DET
ejpam-6336	267	9	outbreak	outbreak	NOUN
ejpam-6336	267	10	dynamics	dynamic	NOUN
ejpam-6336	267	11	involved	involve	VERB
ejpam-6336	267	12	in	in	ADP
ejpam-6336	267	13	cyber	cyber	ADJ
ejpam-6336	267	14	threats	threat	NOUN
ejpam-6336	267	15	while	while	SCONJ
ejpam-6336	267	16	guaranteeing	guarantee	VERB
ejpam-6336	267	17	dependable	dependable	ADJ
ejpam-6336	267	18	predictions	prediction	NOUN
ejpam-6336	267	19	of	of	ADP
ejpam-6336	267	20	threats	threat	NOUN
ejpam-6336	267	21	to	to	PART
ejpam-6336	267	22	come	come	VERB
ejpam-6336	267	23	.	.	PUNCT
ejpam-6336	268	1	therefore	therefore	ADV
ejpam-6336	268	2	,	,	PUNCT
ejpam-6336	268	3	knowledge	knowledge	NOUN
ejpam-6336	268	4	emanating	emanate	VERB
ejpam-6336	268	5	from	from	ADP
ejpam-6336	268	6	this	this	DET
ejpam-6336	268	7	study	study	NOUN
ejpam-6336	268	8	helps	help	VERB
ejpam-6336	268	9	improve	improve	VERB
ejpam-6336	268	10	strategies	strategy	NOUN
ejpam-6336	268	11	towards	towards	ADP
ejpam-6336	268	12	ameliorating	ameliorate	VERB
ejpam-6336	268	13	and	and	CCONJ
ejpam-6336	268	14	making	make	VERB
ejpam-6336	268	15	the	the	DET
ejpam-6336	268	16	best	good	ADJ
ejpam-6336	268	17	use	use	NOUN
ejpam-6336	268	18	of	of	ADP
ejpam-6336	268	19	efforts	effort	NOUN
ejpam-6336	268	20	to	to	PART
ejpam-6336	268	21	immunize	immunize	VERB
ejpam-6336	268	22	against	against	ADP
ejpam-6336	268	23	cyber	cyber	PROPN
ejpam-6336	268	24	threats	threat	NOUN
ejpam-6336	268	25	in	in	ADP
ejpam-6336	268	26	complex	complex	ADJ
ejpam-6336	268	27	real	real	ADJ
ejpam-6336	268	28	-	-	PUNCT
ejpam-6336	268	29	world	world	NOUN
ejpam-6336	268	30	systems	system	NOUN
ejpam-6336	268	31	which	which	PRON
ejpam-6336	268	32	is	be	AUX
ejpam-6336	268	33	bound	bind	VERB
ejpam-6336	268	34	to	to	PART
ejpam-6336	268	35	apply	apply	VERB
ejpam-6336	268	36	for	for	ADP
ejpam-6336	268	37	optimization	optimization	NOUN
ejpam-6336	268	38	strategies	strategy	NOUN
ejpam-6336	268	39	.	.	PUNCT
ejpam-6336	269	1	13	13	NUM
ejpam-6336	269	2	.	.	X
ejpam-6336	269	3	limitation	limitation	NOUN
ejpam-6336	269	4	and	and	CCONJ
ejpam-6336	269	5	future	future	ADJ
ejpam-6336	269	6	work	work	NOUN
ejpam-6336	269	7	our	our	PRON
ejpam-6336	269	8	model	model	NOUN
ejpam-6336	269	9	provides	provide	VERB
ejpam-6336	269	10	a	a	DET
ejpam-6336	269	11	robust	robust	ADJ
ejpam-6336	269	12	framework	framework	NOUN
ejpam-6336	269	13	for	for	ADP
ejpam-6336	269	14	analyzing	analyze	VERB
ejpam-6336	269	15	cyberattack	cyberattack	NOUN
ejpam-6336	269	16	dynamics	dynamic	NOUN
ejpam-6336	269	17	,	,	PUNCT
ejpam-6336	269	18	certain	certain	ADJ
ejpam-6336	269	19	limitations	limitation	NOUN
ejpam-6336	269	20	must	must	AUX
ejpam-6336	269	21	be	be	AUX
ejpam-6336	269	22	acknowledged	acknowledge	VERB
ejpam-6336	269	23	.	.	PUNCT
ejpam-6336	270	1	first	first	ADV
ejpam-6336	270	2	,	,	PUNCT
ejpam-6336	270	3	the	the	DET
ejpam-6336	270	4	assumption	assumption	NOUN
ejpam-6336	270	5	of	of	ADP
ejpam-6336	270	6	homogeneous	homogeneous	ADJ
ejpam-6336	270	7	mixing	mixing	NOUN
ejpam-6336	270	8	among	among	ADP
ejpam-6336	270	9	nodes	node	NOUN
ejpam-6336	270	10	may	may	AUX
ejpam-6336	270	11	not	not	PART
ejpam-6336	270	12	fully	fully	ADV
ejpam-6336	270	13	capture	capture	VERB
ejpam-6336	270	14	the	the	DET
ejpam-6336	270	15	heterogeneity	heterogeneity	NOUN
ejpam-6336	270	16	of	of	ADP
ejpam-6336	270	17	real	real	ADJ
ejpam-6336	270	18	-	-	PUNCT
ejpam-6336	270	19	world	world	NOUN
ejpam-6336	270	20	networks	network	NOUN
ejpam-6336	270	21	,	,	PUNCT
ejpam-6336	270	22	such	such	ADJ
ejpam-6336	270	23	as	as	ADP
ejpam-6336	270	24	those	those	PRON
ejpam-6336	270	25	with	with	ADP
ejpam-6336	270	26	hierarchical	hierarchical	ADJ
ejpam-6336	270	27	or	or	CCONJ
ejpam-6336	270	28	clustered	clustered	ADJ
ejpam-6336	270	29	structures	structure	NOUN
ejpam-6336	270	30	.	.	PUNCT
ejpam-6336	271	1	second	second	ADV
ejpam-6336	271	2	,	,	PUNCT
ejpam-6336	271	3	the	the	DET
ejpam-6336	271	4	model	model	NOUN
ejpam-6336	271	5	does	do	AUX
ejpam-6336	271	6	not	not	PART
ejpam-6336	271	7	explicitly	explicitly	ADV
ejpam-6336	271	8	account	account	VERB
ejpam-6336	271	9	for	for	ADP
ejpam-6336	271	10	time	time	NOUN
ejpam-6336	271	11	-	-	PUNCT
ejpam-6336	271	12	delayed	delay	VERB
ejpam-6336	271	13	effects	effect	NOUN
ejpam-6336	271	14	in	in	ADP
ejpam-6336	271	15	malware	malware	NOUN
ejpam-6336	271	16	detection	detection	NOUN
ejpam-6336	271	17	and	and	CCONJ
ejpam-6336	271	18	patch	patch	NOUN
ejpam-6336	271	19	deployment	deployment	NOUN
ejpam-6336	271	20	,	,	PUNCT
ejpam-6336	271	21	which	which	PRON
ejpam-6336	271	22	could	could	AUX
ejpam-6336	271	23	influence	influence	VERB
ejpam-6336	271	24	outbreak	outbreak	NOUN
ejpam-6336	271	25	trajectories	trajectory	NOUN
ejpam-6336	271	26	.	.	PUNCT
ejpam-6336	272	1	third	third	ADV
ejpam-6336	272	2	,	,	PUNCT
ejpam-6336	272	3	the	the	DET
ejpam-6336	272	4	current	current	ADJ
ejpam-6336	272	5	simulations	simulation	NOUN
ejpam-6336	272	6	focus	focus	VERB
ejpam-6336	272	7	on	on	ADP
ejpam-6336	272	8	deterministic	deterministic	ADJ
ejpam-6336	272	9	scenarios	scenario	NOUN
ejpam-6336	272	10	;	;	PUNCT
ejpam-6336	272	11	incorporating	incorporate	VERB
ejpam-6336	272	12	stochastic	stochastic	ADJ
ejpam-6336	272	13	elements	element	NOUN
ejpam-6336	272	14	could	could	AUX
ejpam-6336	272	15	better	well	ADV
ejpam-6336	272	16	reflect	reflect	VERB
ejpam-6336	272	17	the	the	DET
ejpam-6336	272	18	unpredictability	unpredictability	NOUN
ejpam-6336	272	19	of	of	ADP
ejpam-6336	272	20	cyber	cyber	ADJ
ejpam-6336	272	21	threats	threat	NOUN
ejpam-6336	272	22	.	.	PUNCT
ejpam-6336	273	1	to	to	PART
ejpam-6336	273	2	address	address	VERB
ejpam-6336	273	3	these	these	DET
ejpam-6336	273	4	limitations	limitation	NOUN
ejpam-6336	273	5	,	,	PUNCT
ejpam-6336	273	6	future	future	ADJ
ejpam-6336	273	7	research	research	NOUN
ejpam-6336	273	8	could	could	AUX
ejpam-6336	273	9	explore	explore	VERB
ejpam-6336	273	10	(	(	PUNCT
ejpam-6336	273	11	1	1	NUM
ejpam-6336	273	12	)	)	PUNCT
ejpam-6336	273	13	network	network	NOUN
ejpam-6336	273	14	-	-	PUNCT
ejpam-6336	273	15	specific	specific	ADJ
ejpam-6336	273	16	adaptations	adaptation	NOUN
ejpam-6336	273	17	,	,	PUNCT
ejpam-6336	273	18	such	such	ADJ
ejpam-6336	273	19	as	as	ADP
ejpam-6336	273	20	scale	scale	NOUN
ejpam-6336	273	21	-	-	PUNCT
ejpam-6336	273	22	free	free	ADJ
ejpam-6336	273	23	or	or	CCONJ
ejpam-6336	273	24	small	small	ADJ
ejpam-6336	273	25	-	-	PUNCT
ejpam-6336	273	26	world	world	NOUN
ejpam-6336	273	27	topologies	topology	NOUN
ejpam-6336	273	28	,	,	PUNCT
ejpam-6336	273	29	(	(	PUNCT
ejpam-6336	273	30	2	2	NUM
ejpam-6336	273	31	)	)	PUNCT
ejpam-6336	273	32	time	time	NOUN
ejpam-6336	273	33	-	-	PUNCT
ejpam-6336	273	34	delay	delay	NOUN
ejpam-6336	273	35	differential	differential	ADJ
ejpam-6336	273	36	equations	equation	NOUN
ejpam-6336	273	37	to	to	PART
ejpam-6336	273	38	model	model	VERB
ejpam-6336	273	39	latency	latency	NOUN
ejpam-6336	273	40	in	in	ADP
ejpam-6336	273	41	countermeasures	countermeasure	NOUN
ejpam-6336	273	42	,	,	PUNCT
ejpam-6336	273	43	and	and	CCONJ
ejpam-6336	273	44	(	(	PUNCT
ejpam-6336	273	45	3	3	X
ejpam-6336	273	46	)	)	PUNCT
ejpam-6336	273	47	stochastic	stochastic	ADJ
ejpam-6336	273	48	formulations	formulation	NOUN
ejpam-6336	273	49	to	to	PART
ejpam-6336	273	50	assess	assess	VERB
ejpam-6336	273	51	risk	risk	NOUN
ejpam-6336	273	52	under	under	ADP
ejpam-6336	273	53	uncertainty	uncertainty	NOUN
ejpam-6336	273	54	.	.	PUNCT
ejpam-6336	274	1	additionally	additionally	ADV
ejpam-6336	274	2	,	,	PUNCT
ejpam-6336	274	3	integrating	integrate	VERB
ejpam-6336	274	4	machine	machine	NOUN
ejpam-6336	274	5	learning	learn	VERB
ejpam-6336	274	6	techniques	technique	NOUN
ejpam-6336	274	7	for	for	ADP
ejpam-6336	274	8	real	real	ADJ
ejpam-6336	274	9	-	-	PUNCT
ejpam-6336	274	10	time	time	NOUN
ejpam-6336	274	11	parameter	parameter	NOUN
ejpam-6336	274	12	estimation	estimation	NOUN
ejpam-6336	274	13	could	could	AUX
ejpam-6336	274	14	enhance	enhance	VERB
ejpam-6336	274	15	the	the	DET
ejpam-6336	274	16	model	model	NOUN
ejpam-6336	274	17	’s	’s	PART
ejpam-6336	274	18	predictive	predictive	ADJ
ejpam-6336	274	19	power	power	NOUN
ejpam-6336	274	20	in	in	ADP
ejpam-6336	274	21	dynamic	dynamic	ADJ
ejpam-6336	274	22	environments	environment	NOUN
ejpam-6336	274	23	.	.	PUNCT
ejpam-6336	275	1	these	these	DET
ejpam-6336	275	2	extensions	extension	NOUN
ejpam-6336	275	3	would	would	AUX
ejpam-6336	275	4	further	far	ADV
ejpam-6336	275	5	bridge	bridge	VERB
ejpam-6336	275	6	the	the	DET
ejpam-6336	275	7	gap	gap	NOUN
ejpam-6336	275	8	between	between	ADP
ejpam-6336	275	9	theoretical	theoretical	ADJ
ejpam-6336	275	10	modeling	modeling	NOUN
ejpam-6336	275	11	and	and	CCONJ
ejpam-6336	275	12	practical	practical	ADJ
ejpam-6336	275	13	cybersecurity	cybersecurity	NOUN
ejpam-6336	275	14	applications	application	NOUN
ejpam-6336	275	15	.	.	PUNCT
ejpam-6336	276	1	acknowledgements	acknowledgement	NOUN
ejpam-6336	276	2	authors	author	NOUN
ejpam-6336	276	3	are	be	AUX
ejpam-6336	276	4	thankful	thankful	ADJ
ejpam-6336	276	5	to	to	ADP
ejpam-6336	276	6	prince	prince	PROPN
ejpam-6336	276	7	sultan	sultan	PROPN
ejpam-6336	276	8	university	university	PROPN
ejpam-6336	276	9	for	for	ADP
ejpam-6336	276	10	paying	pay	VERB
ejpam-6336	276	11	the	the	DET
ejpam-6336	276	12	article	article	NOUN
ejpam-6336	276	13	processing	processing	NOUN
ejpam-6336	276	14	charges	charge	NOUN
ejpam-6336	276	15	of	of	ADP
ejpam-6336	276	16	this	this	DET
ejpam-6336	276	17	publication	publication	NOUN
ejpam-6336	276	18	.	.	PUNCT
ejpam-6336	277	1	authors	author	NOUN
ejpam-6336	277	2	credits	credit	VERB
ejpam-6336	277	3	i.s	i.s	PROPN
ejpam-6336	277	4	.	.	PROPN
ejpam-6336	277	5	,	,	PUNCT
ejpam-6336	277	6	writing	write	VERB
ejpam-6336	277	7	original	original	ADJ
ejpam-6336	277	8	draft	draft	NOUN
ejpam-6336	277	9	,	,	PUNCT
ejpam-6336	277	10	discussion	discussion	NOUN
ejpam-6336	277	11	of	of	ADP
ejpam-6336	277	12	idea	idea	NOUN
ejpam-6336	277	13	,	,	PUNCT
ejpam-6336	277	14	simulations	simulation	NOUN
ejpam-6336	277	15	,	,	PUNCT
ejpam-6336	277	16	formal	formal	ADJ
ejpam-6336	277	17	analysis	analysis	NOUN
ejpam-6336	277	18	.	.	PUNCT
ejpam-6336	278	1	n.a	n.a	PROPN
ejpam-6336	278	2	,	,	PUNCT
ejpam-6336	278	3	formal	formal	ADJ
ejpam-6336	278	4	analysis	analysis	NOUN
ejpam-6336	278	5	,	,	PUNCT
ejpam-6336	278	6	supervision	supervision	NOUN
ejpam-6336	278	7	.	.	PUNCT
ejpam-6336	279	1	s.a	s.a	PROPN
ejpam-6336	279	2	reviewing	reviewing	PROPN
ejpam-6336	279	3	,	,	PUNCT
ejpam-6336	279	4	editing	editing	NOUN
ejpam-6336	279	5	,	,	PUNCT
ejpam-6336	279	6	project	project	NOUN
ejpam-6336	279	7	administration	administration	NOUN
ejpam-6336	279	8	.	.	PUNCT
ejpam-6336	280	1	s.	s.	PROPN
ejpam-6336	280	2	ahmad	ahmad	PROPN
ejpam-6336	280	3	,	,	PUNCT
ejpam-6336	280	4	n.	n.	PROPN
ejpam-6336	280	5	ahmad	ahmad	PROPN
ejpam-6336	280	6	,	,	PUNCT
ejpam-6336	280	7	i.	i.	PROPN
ejpam-6336	280	8	shah	shah	PROPN
ejpam-6336	280	9	/	/	SYM
ejpam-6336	280	10	eur	eur	PROPN
ejpam-6336	280	11	.	.	PUNCT
ejpam-6336	281	1	j.	j.	PROPN
ejpam-6336	281	2	pure	pure	PROPN
ejpam-6336	281	3	appl	appl	PROPN
ejpam-6336	281	4	.	.	PROPN
ejpam-6336	281	5	math	math	PROPN
ejpam-6336	281	6	,	,	PUNCT
ejpam-6336	281	7	18	18	NUM
ejpam-6336	281	8	(	(	PUNCT
ejpam-6336	281	9	3	3	NUM
ejpam-6336	281	10	)	)	PUNCT
ejpam-6336	281	11	(	(	PUNCT
ejpam-6336	281	12	2025	2025	NUM
ejpam-6336	281	13	)	)	PUNCT
ejpam-6336	281	14	,	,	PUNCT
ejpam-6336	281	15	6336	6336	NUM
ejpam-6336	281	16	23	23	NUM
ejpam-6336	281	17	of	of	ADP
ejpam-6336	281	18	24	24	NUM
ejpam-6336	281	19	data	datum	NOUN
ejpam-6336	281	20	availability	availability	NOUN
ejpam-6336	281	21	statement	statement	NOUN
ejpam-6336	281	22	all	all	DET
ejpam-6336	281	23	the	the	DET
ejpam-6336	281	24	data	datum	NOUN
ejpam-6336	281	25	utilized	utilize	VERB
ejpam-6336	281	26	in	in	ADP
ejpam-6336	281	27	this	this	DET
ejpam-6336	281	28	study	study	NOUN
ejpam-6336	281	29	are	be	AUX
ejpam-6336	281	30	included	include	VERB
ejpam-6336	281	31	in	in	ADP
ejpam-6336	281	32	the	the	DET
ejpam-6336	281	33	manuscript	manuscript	NOUN
ejpam-6336	281	34	.	.	PUNCT
ejpam-6336	282	1	no	no	DET
ejpam-6336	282	2	additional	additional	ADJ
ejpam-6336	282	3	datasets	dataset	NOUN
ejpam-6336	282	4	were	be	AUX
ejpam-6336	282	5	created	create	VERB
ejpam-6336	282	6	or	or	CCONJ
ejpam-6336	282	7	analyzed	analyze	VERB
ejpam-6336	282	8	.	.	PUNCT
ejpam-6336	283	1	competing	compete	VERB
ejpam-6336	283	2	interest	interest	NOUN
ejpam-6336	283	3	the	the	DET
ejpam-6336	283	4	authors	author	NOUN
ejpam-6336	283	5	declare	declare	VERB
ejpam-6336	283	6	that	that	SCONJ
ejpam-6336	283	7	they	they	PRON
ejpam-6336	283	8	have	have	VERB
ejpam-6336	283	9	no	no	DET
ejpam-6336	283	10	conflicts	conflict	NOUN
ejpam-6336	283	11	of	of	ADP
ejpam-6336	283	12	interest	interest	NOUN
ejpam-6336	283	13	relevant	relevant	ADJ
ejpam-6336	283	14	to	to	ADP
ejpam-6336	283	15	the	the	DET
ejpam-6336	283	16	content	content	NOUN
ejpam-6336	283	17	of	of	ADP
ejpam-6336	283	18	this	this	DET
ejpam-6336	283	19	manuscript	manuscript	NOUN
ejpam-6336	283	20	.	.	PUNCT
ejpam-6336	284	1	ai	ai	VERB
ejpam-6336	284	2	involvement	involvement	NOUN
ejpam-6336	284	3	declaration	declaration	NOUN
ejpam-6336	284	4	the	the	DET
ejpam-6336	284	5	authors	author	NOUN
ejpam-6336	284	6	state	state	VERB
ejpam-6336	284	7	that	that	SCONJ
ejpam-6336	284	8	no	no	DET
ejpam-6336	284	9	artificial	artificial	ADJ
ejpam-6336	284	10	intelligence	intelligence	NOUN
ejpam-6336	284	11	tools	tool	NOUN
ejpam-6336	284	12	were	be	AUX
ejpam-6336	284	13	employed	employ	VERB
ejpam-6336	284	14	throughout	throughout	ADP
ejpam-6336	284	15	any	any	DET
ejpam-6336	284	16	phase	phase	NOUN
ejpam-6336	284	17	of	of	ADP
ejpam-6336	284	18	this	this	DET
ejpam-6336	284	19	study	study	NOUN
ejpam-6336	284	20	,	,	PUNCT
ejpam-6336	284	21	including	include	VERB
ejpam-6336	284	22	its	its	PRON
ejpam-6336	284	23	design	design	NOUN
ejpam-6336	284	24	,	,	PUNCT
ejpam-6336	284	25	analysis	analysis	NOUN
ejpam-6336	284	26	,	,	PUNCT
ejpam-6336	284	27	composition	composition	NOUN
ejpam-6336	284	28	,	,	PUNCT
ejpam-6336	284	29	or	or	CCONJ
ejpam-6336	284	30	revision	revision	NOUN
ejpam-6336	284	31	.	.	PUNCT
ejpam-6336	285	1	all	all	DET
ejpam-6336	285	2	aspects	aspect	NOUN
ejpam-6336	285	3	of	of	ADP
ejpam-6336	285	4	the	the	DET
ejpam-6336	285	5	work	work	NOUN
ejpam-6336	285	6	were	be	AUX
ejpam-6336	285	7	carried	carry	VERB
ejpam-6336	285	8	out	out	ADP
ejpam-6336	285	9	solely	solely	ADV
ejpam-6336	285	10	by	by	ADP
ejpam-6336	285	11	the	the	DET
ejpam-6336	285	12	authors	author	NOUN
ejpam-6336	285	13	without	without	ADP
ejpam-6336	285	14	automated	automate	VERB
ejpam-6336	285	15	assistance	assistance	NOUN
ejpam-6336	285	16	references	reference	NOUN
ejpam-6336	285	17	[	[	X
ejpam-6336	285	18	1	1	NUM
ejpam-6336	285	19	]	]	PUNCT
ejpam-6336	285	20	j.	j.	PROPN
ejpam-6336	285	21	xue	xue	PROPN
ejpam-6336	285	22	,	,	PUNCT
ejpam-6336	285	23	j.	j.	PROPN
ejpam-6336	285	24	ren	ren	PROPN
ejpam-6336	285	25	,	,	PUNCT
ejpam-6336	285	26	y.	y.	PROPN
ejpam-6336	285	27	xu	xu	PROPN
ejpam-6336	285	28	,	,	PUNCT
ejpam-6336	285	29	and	and	CCONJ
ejpam-6336	285	30	l.	l.	PROPN
ejpam-6336	285	31	wang	wang	PROPN
ejpam-6336	285	32	.	.	PUNCT
ejpam-6336	286	1	a	a	DET
ejpam-6336	286	2	propagation	propagation	NOUN
ejpam-6336	286	3	model	model	NOUN
ejpam-6336	286	4	based	base	VERB
ejpam-6336	286	5	on	on	ADP
ejpam-6336	286	6	benign	benign	ADJ
ejpam-6336	286	7	worm	worm	NOUN
ejpam-6336	286	8	confrontation	confrontation	NOUN
ejpam-6336	286	9	and	and	CCONJ
ejpam-6336	286	10	monitoring	monitoring	NOUN
ejpam-6336	286	11	in	in	ADP
ejpam-6336	286	12	peer	peer	NOUN
ejpam-6336	286	13	-	-	PUNCT
ejpam-6336	286	14	to	to	ADP
ejpam-6336	286	15	-	-	PUNCT
ejpam-6336	286	16	peer	peer	NOUN
ejpam-6336	286	17	networks	network	NOUN
ejpam-6336	286	18	.	.	PUNCT
ejpam-6336	287	1	in	in	ADP
ejpam-6336	287	2	ieee	ieee	NOUN
ejpam-6336	287	3	-	-	PUNCT
ejpam-6336	287	4	cisce	cisce	NOUN
ejpam-6336	287	5	,	,	PUNCT
ejpam-6336	287	6	pages	page	NOUN
ejpam-6336	287	7	928	928	NUM
ejpam-6336	287	8	–	–	PUNCT
ejpam-6336	287	9	935	935	NUM
ejpam-6336	287	10	,	,	PUNCT
ejpam-6336	287	11	2024	2024	NUM
ejpam-6336	287	12	.	.	PUNCT
ejpam-6336	288	1	[	[	X
ejpam-6336	288	2	2	2	NUM
ejpam-6336	288	3	]	]	PUNCT
ejpam-6336	288	4	m.	m.	NOUN
ejpam-6336	288	5	kharabsheh	kharabsheh	PROPN
ejpam-6336	288	6	,	,	PUNCT
ejpam-6336	288	7	i.	i.	PROPN
ejpam-6336	288	8	al	al	PROPN
ejpam-6336	288	9	-	-	PROPN
ejpam-6336	288	10	aiash	aiash	PROPN
ejpam-6336	288	11	,	,	PUNCT
ejpam-6336	288	12	a.	a.	PROPN
ejpam-6336	288	13	mughaid	mughaid	PROPN
ejpam-6336	288	14	,	,	PUNCT
ejpam-6336	288	15	and	and	CCONJ
ejpam-6336	288	16	m.	m.	NOUN
ejpam-6336	288	17	almiani	almiani	PROPN
ejpam-6336	288	18	.	.	PUNCT
ejpam-6336	289	1	the	the	DET
ejpam-6336	289	2	seir	seir	ADJ
ejpam-6336	289	3	model	model	NOUN
ejpam-6336	289	4	for	for	ADP
ejpam-6336	289	5	predicting	predict	VERB
ejpam-6336	289	6	malware	malware	NOUN
ejpam-6336	289	7	propagation	propagation	NOUN
ejpam-6336	289	8	in	in	ADP
ejpam-6336	289	9	computer	computer	NOUN
ejpam-6336	289	10	networks	network	NOUN
ejpam-6336	289	11	.	.	PUNCT
ejpam-6336	290	1	in	in	ADP
ejpam-6336	290	2	ieee	ieee	NOUN
ejpam-6336	290	3	-	-	PUNCT
ejpam-6336	290	4	iccns	iccns	NOUN
ejpam-6336	290	5	,	,	PUNCT
ejpam-6336	290	6	pages	page	NOUN
ejpam-6336	290	7	108–113	108–113	NUM
ejpam-6336	290	8	,	,	PUNCT
ejpam-6336	290	9	2024	2024	NUM
ejpam-6336	290	10	.	.	PUNCT
ejpam-6336	291	1	[	[	X
ejpam-6336	291	2	3	3	X
ejpam-6336	291	3	]	]	X
ejpam-6336	291	4	r.	r.	PROPN
ejpam-6336	291	5	w.	w.	PROPN
ejpam-6336	291	6	thommes	thommes	PROPN
ejpam-6336	291	7	and	and	CCONJ
ejpam-6336	291	8	m.	m.	PROPN
ejpam-6336	291	9	j.	j.	PROPN
ejpam-6336	291	10	coates	coates	PROPN
ejpam-6336	291	11	.	.	PUNCT
ejpam-6336	292	1	modeling	model	VERB
ejpam-6336	292	2	virus	virus	NOUN
ejpam-6336	292	3	propagation	propagation	NOUN
ejpam-6336	292	4	in	in	ADP
ejpam-6336	292	5	peer	peer	NOUN
ejpam-6336	292	6	-	-	PUNCT
ejpam-6336	292	7	to	to	ADP
ejpam-6336	292	8	-	-	PUNCT
ejpam-6336	292	9	peer	peer	NOUN
ejpam-6336	292	10	networks	network	NOUN
ejpam-6336	292	11	.	.	PUNCT
ejpam-6336	293	1	in	in	ADP
ejpam-6336	293	2	2005	2005	NUM
ejpam-6336	293	3	5th	5th	ADJ
ejpam-6336	293	4	international	international	ADJ
ejpam-6336	293	5	conference	conference	NOUN
ejpam-6336	293	6	on	on	ADP
ejpam-6336	293	7	information	information	NOUN
ejpam-6336	293	8	communications	communication	NOUN
ejpam-6336	293	9	&	&	CCONJ
ejpam-6336	293	10	signal	signal	PROPN
ejpam-6336	293	11	processing	processing	NOUN
ejpam-6336	293	12	(	(	PUNCT
ejpam-6336	293	13	icics	icic	NOUN
ejpam-6336	293	14	)	)	PUNCT
ejpam-6336	293	15	,	,	PUNCT
ejpam-6336	293	16	pages	page	NOUN
ejpam-6336	293	17	981–985	981–985	NUM
ejpam-6336	293	18	.	.	PUNCT
ejpam-6336	294	1	ieee	ieee	PROPN
ejpam-6336	294	2	,	,	PUNCT
ejpam-6336	294	3	december	december	PROPN
ejpam-6336	294	4	2005	2005	NUM
ejpam-6336	294	5	.	.	PUNCT
ejpam-6336	295	1	[	[	X
ejpam-6336	295	2	4	4	NUM
ejpam-6336	295	3	]	]	PUNCT
ejpam-6336	295	4	l.	l.	PROPN
ejpam-6336	295	5	quiroga	quiroga	PROPN
ejpam-6336	295	6	sanchez	sanchez	PROPN
ejpam-6336	295	7	,	,	PUNCT
ejpam-6336	295	8	g.	g.	PROPN
ejpam-6336	295	9	a.	a.	PROPN
ejpam-6336	295	10	montoya	montoya	PROPN
ejpam-6336	295	11	,	,	PUNCT
ejpam-6336	295	12	and	and	CCONJ
ejpam-6336	295	13	c.	c.	PROPN
ejpam-6336	295	14	lozano	lozano	PROPN
ejpam-6336	295	15	garzon	garzon	PROPN
ejpam-6336	295	16	.	.	PUNCT
ejpam-6336	296	1	the	the	DET
ejpam-6336	296	2	seirs	seirs	PROPN
ejpam-6336	296	3	nimfa	nimfa	PROPN
ejpam-6336	296	4	epidemiological	epidemiological	ADJ
ejpam-6336	296	5	model	model	NOUN
ejpam-6336	296	6	for	for	ADP
ejpam-6336	296	7	malware	malware	NOUN
ejpam-6336	296	8	propagation	propagation	NOUN
ejpam-6336	296	9	analysis	analysis	NOUN
ejpam-6336	296	10	in	in	ADP
ejpam-6336	296	11	networks	network	NOUN
ejpam-6336	296	12	.	.	PUNCT
ejpam-6336	297	1	journal	journal	NOUN
ejpam-6336	297	2	of	of	ADP
ejpam-6336	297	3	computer	computer	NOUN
ejpam-6336	297	4	security	security	NOUN
ejpam-6336	297	5	,	,	PUNCT
ejpam-6336	297	6	8(1):2	8(1):2	NOUN
ejpam-6336	297	7	,	,	PUNCT
ejpam-6336	297	8	2025	2025	NUM
ejpam-6336	297	9	.	.	PUNCT
ejpam-6336	298	1	[	[	X
ejpam-6336	298	2	5	5	NUM
ejpam-6336	298	3	]	]	PUNCT
ejpam-6336	298	4	a.	a.	PROPN
ejpam-6336	298	5	k.	k.	PROPN
ejpam-6336	298	6	rizi	rizi	PROPN
ejpam-6336	298	7	.	.	PUNCT
ejpam-6336	299	1	spreading	spread	VERB
ejpam-6336	299	2	and	and	CCONJ
ejpam-6336	299	3	epidemic	epidemic	NOUN
ejpam-6336	299	4	interventions	intervention	NOUN
ejpam-6336	299	5	effects	effect	NOUN
ejpam-6336	299	6	of	of	ADP
ejpam-6336	299	7	network	network	NOUN
ejpam-6336	299	8	structure	structure	NOUN
ejpam-6336	299	9	and	and	CCONJ
ejpam-6336	299	10	dynamics	dynamic	NOUN
ejpam-6336	299	11	.	.	PUNCT
ejpam-6336	300	1	2024	2024	NUM
ejpam-6336	300	2	.	.	PUNCT
ejpam-6336	301	1	[	[	X
ejpam-6336	301	2	6	6	NUM
ejpam-6336	301	3	]	]	PUNCT
ejpam-6336	301	4	a.	a.	NOUN
ejpam-6336	301	5	lahrouz	lahrouz	PROPN
ejpam-6336	301	6	,	,	PUNCT
ejpam-6336	301	7	o.	o.	NOUN
ejpam-6336	301	8	lahcen	lahcen	PROPN
ejpam-6336	301	9	,	,	PUNCT
ejpam-6336	301	10	k.	k.	PROPN
ejpam-6336	301	11	driss	driss	PROPN
ejpam-6336	301	12	,	,	PUNCT
ejpam-6336	301	13	and	and	CCONJ
ejpam-6336	301	14	b.	b.	PROPN
ejpam-6336	301	15	aziza	aziza	PROPN
ejpam-6336	301	16	.	.	PUNCT
ejpam-6336	302	1	complete	complete	ADJ
ejpam-6336	302	2	global	global	ADJ
ejpam-6336	302	3	stability	stability	NOUN
ejpam-6336	302	4	for	for	ADP
ejpam-6336	302	5	an	an	DET
ejpam-6336	302	6	sirs	sir	NOUN
ejpam-6336	302	7	epidemic	epidemic	NOUN
ejpam-6336	302	8	model	model	NOUN
ejpam-6336	302	9	with	with	ADP
ejpam-6336	302	10	generalized	generalized	ADJ
ejpam-6336	302	11	non	non	ADJ
ejpam-6336	302	12	-	-	ADJ
ejpam-6336	302	13	linear	linear	ADJ
ejpam-6336	302	14	incidence	incidence	NOUN
ejpam-6336	302	15	and	and	CCONJ
ejpam-6336	302	16	vaccination	vaccination	NOUN
ejpam-6336	302	17	.	.	PUNCT
ejpam-6336	303	1	applied	apply	VERB
ejpam-6336	303	2	mathematics	mathematic	NOUN
ejpam-6336	303	3	and	and	CCONJ
ejpam-6336	303	4	computation	computation	NOUN
ejpam-6336	303	5	,	,	PUNCT
ejpam-6336	303	6	218(11):6519–6525	218(11):6519–6525	NUM
ejpam-6336	303	7	,	,	PUNCT
ejpam-6336	303	8	2012	2012	NUM
ejpam-6336	303	9	.	.	PUNCT
ejpam-6336	304	1	[	[	X
ejpam-6336	304	2	7	7	X
ejpam-6336	304	3	]	]	X
ejpam-6336	304	4	w.	w.	PROPN
ejpam-6336	304	5	o.	o.	PROPN
ejpam-6336	304	6	kermack	kermack	PROPN
ejpam-6336	304	7	and	and	CCONJ
ejpam-6336	304	8	a.	a.	PROPN
ejpam-6336	304	9	g.	g.	PROPN
ejpam-6336	304	10	mckendrick	mckendrick	PROPN
ejpam-6336	304	11	.	.	PUNCT
ejpam-6336	305	1	contributions	contribution	NOUN
ejpam-6336	305	2	of	of	ADP
ejpam-6336	305	3	mathematical	mathematical	ADJ
ejpam-6336	305	4	theory	theory	NOUN
ejpam-6336	305	5	to	to	ADP
ejpam-6336	305	6	epidemics	epidemic	NOUN
ejpam-6336	305	7	.	.	PUNCT
ejpam-6336	306	1	proceedings	proceeding	NOUN
ejpam-6336	306	2	of	of	ADP
ejpam-6336	306	3	the	the	DET
ejpam-6336	306	4	royal	royal	ADJ
ejpam-6336	306	5	society	society	NOUN
ejpam-6336	306	6	a	a	PRON
ejpam-6336	306	7	,	,	PUNCT
ejpam-6336	306	8	141(843):94–122	141(843):94–122	NUM
ejpam-6336	306	9	,	,	PUNCT
ejpam-6336	306	10	1933	1933	NUM
ejpam-6336	306	11	.	.	PUNCT
ejpam-6336	307	1	[	[	X
ejpam-6336	307	2	8	8	NUM
ejpam-6336	307	3	]	]	X
ejpam-6336	307	4	i.	i.	PROPN
ejpam-6336	307	5	n.	n.	PROPN
ejpam-6336	307	6	kiselev	kiselev	PROPN
ejpam-6336	307	7	,	,	PUNCT
ejpam-6336	307	8	i.	i.	PROPN
ejpam-6336	307	9	r.	r.	PROPN
ejpam-6336	307	10	akberdin	akberdin	PROPN
ejpam-6336	307	11	,	,	PUNCT
ejpam-6336	307	12	and	and	CCONJ
ejpam-6336	307	13	f.	f.	PROPN
ejpam-6336	307	14	a.	a.	PROPN
ejpam-6336	307	15	kolpakov	kolpakov	PROPN
ejpam-6336	307	16	.	.	PUNCT
ejpam-6336	308	1	a	a	DET
ejpam-6336	308	2	delay	delay	NOUN
ejpam-6336	308	3	differential	differential	ADJ
ejpam-6336	308	4	equation	equation	NOUN
ejpam-6336	308	5	approach	approach	NOUN
ejpam-6336	308	6	to	to	PART
ejpam-6336	308	7	model	model	VERB
ejpam-6336	308	8	the	the	DET
ejpam-6336	308	9	covid-19	covid-19	PROPN
ejpam-6336	308	10	pandemic	pandemic	NOUN
ejpam-6336	308	11	.	.	PUNCT
ejpam-6336	309	1	medrxiv	medrxiv	PROPN
ejpam-6336	309	2	,	,	PUNCT
ejpam-6336	309	3	september	september	PROPN
ejpam-6336	309	4	2021	2021	NUM
ejpam-6336	309	5	.	.	PUNCT
ejpam-6336	310	1	[	[	X
ejpam-6336	310	2	9	9	NUM
ejpam-6336	310	3	]	]	PUNCT
ejpam-6336	310	4	j.	j.	PROPN
ejpam-6336	310	5	r.	r.	PROPN
ejpam-6336	310	6	c.	c.	PROPN
ejpam-6336	310	7	piqueira	piqueira	PROPN
ejpam-6336	310	8	,	,	PUNCT
ejpam-6336	310	9	b.	b.	PROPN
ejpam-6336	310	10	f.	f.	PROPN
ejpam-6336	310	11	navarro	navarro	PROPN
ejpam-6336	310	12	,	,	PUNCT
ejpam-6336	310	13	and	and	CCONJ
ejpam-6336	310	14	l.	l.	PROPN
ejpam-6336	310	15	h.	h.	PROPN
ejpam-6336	310	16	a.	a.	PROPN
ejpam-6336	310	17	monteiro	monteiro	PROPN
ejpam-6336	310	18	.	.	PUNCT
ejpam-6336	311	1	epidemiological	epidemiological	ADJ
ejpam-6336	311	2	models	model	NOUN
ejpam-6336	311	3	applied	apply	VERB
ejpam-6336	311	4	to	to	ADP
ejpam-6336	311	5	viruses	virus	NOUN
ejpam-6336	311	6	in	in	ADP
ejpam-6336	311	7	computer	computer	NOUN
ejpam-6336	311	8	networks	network	NOUN
ejpam-6336	311	9	.	.	PUNCT
ejpam-6336	312	1	journal	journal	NOUN
ejpam-6336	312	2	of	of	ADP
ejpam-6336	312	3	computer	computer	NOUN
ejpam-6336	312	4	science	science	NOUN
ejpam-6336	312	5	,	,	PUNCT
ejpam-6336	312	6	1(1):31–34	1(1):31–34	NUM
ejpam-6336	312	7	,	,	PUNCT
ejpam-6336	312	8	2005	2005	NUM
ejpam-6336	312	9	.	.	PUNCT
ejpam-6336	313	1	s.	s.	PROPN
ejpam-6336	313	2	ahmad	ahmad	PROPN
ejpam-6336	313	3	,	,	PUNCT
ejpam-6336	313	4	n.	n.	PROPN
ejpam-6336	313	5	ahmad	ahmad	PROPN
ejpam-6336	313	6	,	,	PUNCT
ejpam-6336	313	7	i.	i.	PROPN
ejpam-6336	313	8	shah	shah	PROPN
ejpam-6336	313	9	/	/	SYM
ejpam-6336	313	10	eur	eur	PROPN
ejpam-6336	313	11	.	.	PUNCT
ejpam-6336	314	1	j.	j.	PROPN
ejpam-6336	314	2	pure	pure	PROPN
ejpam-6336	314	3	appl	appl	PROPN
ejpam-6336	314	4	.	.	PROPN
ejpam-6336	314	5	math	math	PROPN
ejpam-6336	314	6	,	,	PUNCT
ejpam-6336	314	7	18	18	NUM
ejpam-6336	314	8	(	(	PUNCT
ejpam-6336	314	9	3	3	NUM
ejpam-6336	314	10	)	)	PUNCT
ejpam-6336	314	11	(	(	PUNCT
ejpam-6336	314	12	2025	2025	NUM
ejpam-6336	314	13	)	)	PUNCT
ejpam-6336	314	14	,	,	PUNCT
ejpam-6336	314	15	6336	6336	NUM
ejpam-6336	314	16	24	24	NUM
ejpam-6336	314	17	of	of	ADP
ejpam-6336	314	18	24	24	NUM
ejpam-6336	314	19	[	[	SYM
ejpam-6336	314	20	10	10	NUM
ejpam-6336	314	21	]	]	PUNCT
ejpam-6336	314	22	m.	m.	NOUN
ejpam-6336	314	23	draief	draief	PROPN
ejpam-6336	314	24	,	,	PUNCT
ejpam-6336	314	25	a.	a.	NOUN
ejpam-6336	314	26	ganesh	ganesh	PROPN
ejpam-6336	314	27	,	,	PUNCT
ejpam-6336	314	28	and	and	CCONJ
ejpam-6336	314	29	l.	l.	PROPN
ejpam-6336	314	30	massouili	massouili	PROPN
ejpam-6336	314	31	.	.	PUNCT
ejpam-6336	315	1	thresholds	threshold	NOUN
ejpam-6336	315	2	for	for	ADP
ejpam-6336	315	3	virus	virus	NOUN
ejpam-6336	315	4	spread	spread	VERB
ejpam-6336	315	5	on	on	ADP
ejpam-6336	315	6	networks	network	NOUN
ejpam-6336	315	7	.	.	PUNCT
ejpam-6336	316	1	advances	advance	NOUN
ejpam-6336	316	2	in	in	ADP
ejpam-6336	316	3	applied	apply	VERB
ejpam-6336	316	4	probability	probability	NOUN
ejpam-6336	316	5	,	,	PUNCT
ejpam-6336	316	6	18(2):359–378	18(2):359–378	NUM
ejpam-6336	316	7	,	,	PUNCT
ejpam-6336	316	8	2008	2008	NUM
ejpam-6336	316	9	.	.	PUNCT
ejpam-6336	317	1	[	[	X
ejpam-6336	317	2	11	11	NUM
ejpam-6336	317	3	]	]	PUNCT
ejpam-6336	317	4	b.	b.	PROPN
ejpam-6336	317	5	zhang	zhang	PROPN
ejpam-6336	317	6	,	,	PUNCT
ejpam-6336	317	7	x.	x.	PROPN
ejpam-6336	317	8	zhao	zhao	PROPN
ejpam-6336	317	9	,	,	PUNCT
ejpam-6336	317	10	j.	j.	PROPN
ejpam-6336	317	11	nie	nie	PROPN
ejpam-6336	317	12	,	,	PUNCT
ejpam-6336	317	13	j.	j.	PROPN
ejpam-6336	317	14	tang	tang	PROPN
ejpam-6336	317	15	,	,	PUNCT
ejpam-6336	317	16	y.	y.	PROPN
ejpam-6336	317	17	chen	chen	PROPN
ejpam-6336	317	18	,	,	PUNCT
ejpam-6336	317	19	y.	y.	PROPN
ejpam-6336	317	20	zhang	zhang	PROPN
ejpam-6336	317	21	,	,	PUNCT
ejpam-6336	317	22	and	and	CCONJ
ejpam-6336	317	23	d.	d.	PROPN
ejpam-6336	317	24	niyato	niyato	PROPN
ejpam-6336	317	25	.	.	PUNCT
ejpam-6336	318	1	epidemic	epidemic	NOUN
ejpam-6336	318	2	model	model	NOUN
ejpam-6336	318	3	-	-	PUNCT
ejpam-6336	318	4	based	base	VERB
ejpam-6336	318	5	network	network	NOUN
ejpam-6336	318	6	influential	influential	ADJ
ejpam-6336	318	7	node	node	NOUN
ejpam-6336	318	8	ranking	rank	VERB
ejpam-6336	318	9	methods	method	NOUN
ejpam-6336	318	10	:	:	PUNCT
ejpam-6336	318	11	a	a	DET
ejpam-6336	318	12	ranking	ranking	ADJ
ejpam-6336	318	13	rationality	rationality	NOUN
ejpam-6336	318	14	perspective	perspective	NOUN
ejpam-6336	318	15	.	.	PUNCT
ejpam-6336	319	1	acm	acm	PROPN
ejpam-6336	319	2	computing	computing	NOUN
ejpam-6336	319	3	surveys	survey	NOUN
ejpam-6336	319	4	,	,	PUNCT
ejpam-6336	319	5	56(8):1–39	56(8):1–39	NUM
ejpam-6336	319	6	,	,	PUNCT
ejpam-6336	319	7	2024	2024	NUM
ejpam-6336	319	8	.	.	PUNCT
ejpam-6336	320	1	[	[	X
ejpam-6336	320	2	12	12	NUM
ejpam-6336	320	3	]	]	X
ejpam-6336	320	4	s.	s.	PROPN
ejpam-6336	320	5	kondakci	kondakci	PROPN
ejpam-6336	320	6	and	and	CCONJ
ejpam-6336	320	7	d.	d.	PROPN
ejpam-6336	320	8	d.	d.	PROPN
ejpam-6336	320	9	kondakci	kondakci	PROPN
ejpam-6336	320	10	.	.	PUNCT
ejpam-6336	321	1	building	build	VERB
ejpam-6336	321	2	epidemic	epidemic	NOUN
ejpam-6336	321	3	models	model	NOUN
ejpam-6336	321	4	for	for	ADP
ejpam-6336	321	5	living	living	NOUN
ejpam-6336	321	6	populations	population	NOUN
ejpam-6336	321	7	and	and	CCONJ
ejpam-6336	321	8	computer	computer	NOUN
ejpam-6336	321	9	networks	network	NOUN
ejpam-6336	321	10	.	.	PUNCT
ejpam-6336	322	1	sage	sage	NOUN
ejpam-6336	322	2	open	open	ADJ
ejpam-6336	322	3	,	,	PUNCT
ejpam-6336	322	4	104(2):00368504211017800	104(2):00368504211017800	PROPN
ejpam-6336	322	5	,	,	PUNCT
ejpam-6336	322	6	2021	2021	NUM
ejpam-6336	322	7	.	.	PUNCT
ejpam-6336	323	1	[	[	X
ejpam-6336	323	2	13	13	NUM
ejpam-6336	323	3	]	]	PUNCT
ejpam-6336	323	4	h.	h.	PROPN
ejpam-6336	323	5	zhang	zhang	PROPN
ejpam-6336	323	6	,	,	PUNCT
ejpam-6336	323	7	l.	l.	PROPN
ejpam-6336	323	8	cao	cao	PROPN
ejpam-6336	323	9	,	,	PUNCT
ejpam-6336	323	10	c.	c.	PROPN
ejpam-6336	323	11	fu	fu	PROPN
ejpam-6336	323	12	,	,	PUNCT
ejpam-6336	323	13	s.	s.	PROPN
ejpam-6336	323	14	cai	cai	PROPN
ejpam-6336	323	15	,	,	PUNCT
ejpam-6336	323	16	and	and	CCONJ
ejpam-6336	323	17	y.	y.	PROPN
ejpam-6336	323	18	gao	gao	PROPN
ejpam-6336	323	19	.	.	PUNCT
ejpam-6336	323	20	epidemic	epidemic	NOUN
ejpam-6336	323	21	spreading	spread	VERB
ejpam-6336	323	22	on	on	ADP
ejpam-6336	323	23	multi	multi	ADJ
ejpam-6336	323	24	-	-	ADJ
ejpam-6336	323	25	layer	layer	ADJ
ejpam-6336	323	26	networks	network	NOUN
ejpam-6336	323	27	with	with	ADP
ejpam-6336	323	28	active	active	ADJ
ejpam-6336	323	29	nodes	node	NOUN
ejpam-6336	323	30	.	.	PUNCT
ejpam-6336	324	1	chaos	chaos	NOUN
ejpam-6336	324	2	,	,	PUNCT
ejpam-6336	324	3	33(7	33(7	NUM
ejpam-6336	324	4	)	)	PUNCT
ejpam-6336	324	5	,	,	PUNCT
ejpam-6336	324	6	2023	2023	NUM
ejpam-6336	324	7	.	.	PUNCT
ejpam-6336	325	1	[	[	X
ejpam-6336	325	2	14	14	NUM
ejpam-6336	325	3	]	]	X
ejpam-6336	325	4	j.	j.	PROPN
ejpam-6336	325	5	o.	o.	PROPN
ejpam-6336	325	6	kephart	kephart	PROPN
ejpam-6336	325	7	,	,	PUNCT
ejpam-6336	325	8	s.	s.	PROPN
ejpam-6336	325	9	r.	r.	PROPN
ejpam-6336	325	10	white	white	PROPN
ejpam-6336	325	11	,	,	PUNCT
ejpam-6336	325	12	and	and	CCONJ
ejpam-6336	325	13	d.	d.	PROPN
ejpam-6336	325	14	m.	m.	PROPN
ejpam-6336	325	15	chess	chess	PROPN
ejpam-6336	325	16	.	.	PUNCT
ejpam-6336	326	1	computers	computer	NOUN
ejpam-6336	326	2	and	and	CCONJ
ejpam-6336	326	3	epidemiology	epidemiology	NOUN
ejpam-6336	326	4	.	.	PUNCT
ejpam-6336	327	1	ieee	ieee	PROPN
ejpam-6336	327	2	spectrum	spectrum	PROPN
ejpam-6336	327	3	,	,	PUNCT
ejpam-6336	327	4	30(5):20–26	30(5):20–26	NUM
ejpam-6336	327	5	,	,	PUNCT
ejpam-6336	327	6	1993	1993	NUM
ejpam-6336	327	7	.	.	PUNCT
ejpam-6336	328	1	[	[	X
ejpam-6336	328	2	15	15	NUM
ejpam-6336	328	3	]	]	X
ejpam-6336	328	4	m.	m.	NOUN
ejpam-6336	328	5	khan	khan	PROPN
ejpam-6336	328	6	,	,	PUNCT
ejpam-6336	328	7	n.	n.	PROPN
ejpam-6336	328	8	khan	khan	PROPN
ejpam-6336	328	9	,	,	PUNCT
ejpam-6336	328	10	i.	i.	PROPN
ejpam-6336	328	11	ullah	ullah	PROPN
ejpam-6336	328	12	,	,	PUNCT
ejpam-6336	328	13	k.	k.	PROPN
ejpam-6336	328	14	shah	shah	PROPN
ejpam-6336	328	15	,	,	PUNCT
ejpam-6336	328	16	t.	t.	NOUN
ejpam-6336	328	17	abdeljawad	abdeljawad	NOUN
ejpam-6336	328	18	,	,	PUNCT
ejpam-6336	328	19	and	and	CCONJ
ejpam-6336	328	20	b.	b.	PROPN
ejpam-6336	328	21	abdalla	abdalla	PROPN
ejpam-6336	328	22	.	.	PUNCT
ejpam-6336	329	1	a	a	DET
ejpam-6336	329	2	novel	novel	ADJ
ejpam-6336	329	3	fractal	fractal	ADJ
ejpam-6336	329	4	fractional	fractional	ADJ
ejpam-6336	329	5	mathematical	mathematical	ADJ
ejpam-6336	329	6	model	model	NOUN
ejpam-6336	329	7	for	for	ADP
ejpam-6336	329	8	hiv	hiv	PROPN
ejpam-6336	329	9	/	/	SYM
ejpam-6336	329	10	aids	aids	PROPN
ejpam-6336	329	11	transmission	transmission	NOUN
ejpam-6336	329	12	stability	stability	NOUN
ejpam-6336	329	13	and	and	CCONJ
ejpam-6336	329	14	sensitivity	sensitivity	NOUN
ejpam-6336	329	15	with	with	ADP
ejpam-6336	329	16	numerical	numerical	ADJ
ejpam-6336	329	17	analysis	analysis	NOUN
ejpam-6336	329	18	.	.	PUNCT
ejpam-6336	330	1	scientific	scientific	ADJ
ejpam-6336	330	2	reports	report	NOUN
ejpam-6336	330	3	,	,	PUNCT
ejpam-6336	330	4	15(1):9291	15(1):9291	NUM
ejpam-6336	330	5	,	,	PUNCT
ejpam-6336	330	6	2025	2025	NUM
ejpam-6336	330	7	.	.	PUNCT
ejpam-6336	331	1	[	[	X
ejpam-6336	331	2	16	16	NUM
ejpam-6336	331	3	]	]	PUNCT
ejpam-6336	331	4	r.	r.	PROPN
ejpam-6336	331	5	u.	u.	PROPN
ejpam-6336	331	6	din	din	PROPN
ejpam-6336	331	7	,	,	PUNCT
ejpam-6336	331	8	k.	k.	PROPN
ejpam-6336	331	9	a.	a.	PROPN
ejpam-6336	331	10	khan	khan	PROPN
ejpam-6336	331	11	,	,	PUNCT
ejpam-6336	331	12	a.	a.	PROPN
ejpam-6336	331	13	aloqaily	aloqaily	ADV
ejpam-6336	331	14	,	,	PUNCT
ejpam-6336	331	15	n.	n.	PROPN
ejpam-6336	331	16	mlaiki	mlaiki	PROPN
ejpam-6336	331	17	,	,	PUNCT
ejpam-6336	331	18	and	and	CCONJ
ejpam-6336	331	19	h.	h.	PROPN
ejpam-6336	331	20	alrabaiah	alrabaiah	PROPN
ejpam-6336	331	21	.	.	PUNCT
ejpam-6336	332	1	using	use	VERB
ejpam-6336	332	2	non	non	ADJ
ejpam-6336	332	3	-	-	ADJ
ejpam-6336	332	4	standard	standard	ADJ
ejpam-6336	332	5	finite	finite	ADJ
ejpam-6336	332	6	difference	difference	NOUN
ejpam-6336	332	7	scheme	scheme	NOUN
ejpam-6336	332	8	to	to	PART
ejpam-6336	332	9	study	study	VERB
ejpam-6336	332	10	classical	classical	ADJ
ejpam-6336	332	11	and	and	CCONJ
ejpam-6336	332	12	fractional	fractional	ADJ
ejpam-6336	332	13	order	order	NOUN
ejpam-6336	332	14	seivr	seivr	NOUN
ejpam-6336	332	15	model	model	NOUN
ejpam-6336	332	16	.	.	PUNCT
ejpam-6336	333	1	fractal	fractal	PROPN
ejpam-6336	333	2	and	and	CCONJ
ejpam-6336	333	3	fractional	fractional	ADJ
ejpam-6336	333	4	,	,	PUNCT
ejpam-6336	333	5	7(7):552	7(7):552	NUM
ejpam-6336	333	6	,	,	PUNCT
ejpam-6336	333	7	2023	2023	NUM
ejpam-6336	333	8	.	.	PUNCT
ejpam-6336	334	1	[	[	X
ejpam-6336	334	2	17	17	NUM
ejpam-6336	334	3	]	]	PUNCT
ejpam-6336	334	4	r.	r.	PROPN
ejpam-6336	334	5	u.	u.	PROPN
ejpam-6336	334	6	din	din	PROPN
ejpam-6336	334	7	and	and	CCONJ
ejpam-6336	334	8	e.	e.	PROPN
ejpam-6336	334	9	a.	a.	PROPN
ejpam-6336	334	10	algehyne	algehyne	PROPN
ejpam-6336	334	11	.	.	PUNCT
ejpam-6336	335	1	mathematical	mathematical	ADJ
ejpam-6336	335	2	analysis	analysis	NOUN
ejpam-6336	335	3	of	of	ADP
ejpam-6336	335	4	covid-19	covid-19	PROPN
ejpam-6336	335	5	by	by	ADP
ejpam-6336	335	6	using	use	VERB
ejpam-6336	335	7	sir	sir	PROPN
ejpam-6336	335	8	model	model	NOUN
ejpam-6336	335	9	with	with	ADP
ejpam-6336	335	10	convex	convex	ADJ
ejpam-6336	335	11	incidence	incidence	NOUN
ejpam-6336	335	12	rate	rate	NOUN
ejpam-6336	335	13	.	.	PUNCT
ejpam-6336	336	1	results	result	NOUN
ejpam-6336	336	2	in	in	ADP
ejpam-6336	336	3	physics	physics	NOUN
ejpam-6336	336	4	,	,	PUNCT
ejpam-6336	336	5	23:103970	23:103970	NUM
ejpam-6336	336	6	,	,	PUNCT
ejpam-6336	336	7	2021	2021	NUM
ejpam-6336	336	8	.	.	PUNCT
ejpam-6336	337	1	[	[	X
ejpam-6336	337	2	18	18	NUM
ejpam-6336	337	3	]	]	PUNCT
ejpam-6336	337	4	r.	r.	PROPN
ejpam-6336	337	5	u.	u.	PROPN
ejpam-6336	337	6	din	din	PROPN
ejpam-6336	337	7	,	,	PUNCT
ejpam-6336	337	8	k.	k.	PROPN
ejpam-6336	337	9	shah	shah	PROPN
ejpam-6336	337	10	,	,	PUNCT
ejpam-6336	337	11	m.	m.	NOUN
ejpam-6336	337	12	a.	a.	NOUN
ejpam-6336	337	13	alqudah	alqudah	PROPN
ejpam-6336	337	14	,	,	PUNCT
ejpam-6336	337	15	t.	t.	NOUN
ejpam-6336	337	16	abdeljawad	abdeljawad	NOUN
ejpam-6336	337	17	,	,	PUNCT
ejpam-6336	337	18	and	and	CCONJ
ejpam-6336	337	19	f.	f.	PROPN
ejpam-6336	337	20	jarad	jarad	PROPN
ejpam-6336	337	21	.	.	PUNCT
ejpam-6336	338	1	mathematical	mathematical	ADJ
ejpam-6336	338	2	study	study	NOUN
ejpam-6336	338	3	of	of	ADP
ejpam-6336	338	4	sir	sir	PROPN
ejpam-6336	338	5	epidemic	epidemic	NOUN
ejpam-6336	338	6	model	model	NOUN
ejpam-6336	338	7	under	under	ADP
ejpam-6336	338	8	convex	convex	ADJ
ejpam-6336	338	9	incidence	incidence	NOUN
ejpam-6336	338	10	rate	rate	NOUN
ejpam-6336	338	11	.	.	PUNCT
ejpam-6336	339	1	aims	aim	VERB
ejpam-6336	339	2	mathematics	mathematic	NOUN
ejpam-6336	339	3	,	,	PUNCT
ejpam-6336	339	4	5(6):7548–7561	5(6):7548–7561	PROPN
ejpam-6336	339	5	,	,	PUNCT
ejpam-6336	339	6	2020	2020	NUM
ejpam-6336	339	7	.	.	PUNCT
ejpam-6336	340	1	[	[	X
ejpam-6336	340	2	19	19	NUM
ejpam-6336	340	3	]	]	PUNCT
ejpam-6336	340	4	r.	r.	PROPN
ejpam-6336	340	5	u.	u.	PROPN
ejpam-6336	340	6	din	din	PROPN
ejpam-6336	340	7	and	and	CCONJ
ejpam-6336	340	8	e.	e.	PROPN
ejpam-6336	340	9	a.	a.	PROPN
ejpam-6336	340	10	algehyne	algehyne	PROPN
ejpam-6336	340	11	.	.	PUNCT
ejpam-6336	341	1	on	on	ADP
ejpam-6336	341	2	global	global	ADJ
ejpam-6336	341	3	dynamics	dynamic	NOUN
ejpam-6336	341	4	of	of	ADP
ejpam-6336	341	5	covid-19	covid-19	PROPN
ejpam-6336	341	6	by	by	ADP
ejpam-6336	341	7	using	use	VERB
ejpam-6336	341	8	sqir	sqir	NOUN
ejpam-6336	341	9	type	type	NOUN
ejpam-6336	341	10	model	model	NOUN
ejpam-6336	341	11	under	under	ADP
ejpam-6336	341	12	non	non	ADJ
ejpam-6336	341	13	-	-	ADJ
ejpam-6336	341	14	linear	linear	ADJ
ejpam-6336	341	15	saturated	saturated	ADJ
ejpam-6336	341	16	incidence	incidence	NOUN
ejpam-6336	341	17	rate	rate	NOUN
ejpam-6336	341	18	.	.	PUNCT
ejpam-6336	342	1	alexandria	alexandria	PROPN
ejpam-6336	342	2	engineering	engineering	PROPN
ejpam-6336	342	3	journal	journal	PROPN
ejpam-6336	342	4	,	,	PUNCT
ejpam-6336	342	5	2020	2020	NUM
ejpam-6336	342	6	.	.	PUNCT
ejpam-6336	343	1	[	[	X
ejpam-6336	343	2	20	20	NUM
ejpam-6336	343	3	]	]	X
ejpam-6336	343	4	n.	n.	PROPN
ejpam-6336	343	5	khan	khan	PROPN
ejpam-6336	343	6	,	,	PUNCT
ejpam-6336	343	7	a.	a.	PROPN
ejpam-6336	343	8	ali	ali	PROPN
ejpam-6336	343	9	,	,	PUNCT
ejpam-6336	343	10	a.	a.	PROPN
ejpam-6336	343	11	ullah	ullah	PROPN
ejpam-6336	343	12	,	,	PUNCT
ejpam-6336	343	13	and	and	CCONJ
ejpam-6336	343	14	z.	z.	PROPN
ejpam-6336	343	15	a.	a.	PROPN
ejpam-6336	343	16	khan	khan	PROPN
ejpam-6336	343	17	.	.	PUNCT
ejpam-6336	344	1	mathematical	mathematical	ADJ
ejpam-6336	344	2	analysis	analysis	NOUN
ejpam-6336	344	3	of	of	ADP
ejpam-6336	344	4	neurological	neurological	ADJ
ejpam-6336	344	5	disorder	disorder	NOUN
ejpam-6336	344	6	under	under	ADP
ejpam-6336	344	7	fractional	fractional	ADJ
ejpam-6336	344	8	order	order	NOUN
ejpam-6336	344	9	derivative	derivative	NOUN
ejpam-6336	344	10	.	.	PUNCT
ejpam-6336	345	1	aims	aim	VERB
ejpam-6336	345	2	mathematics	mathematic	NOUN
ejpam-6336	345	3	,	,	PUNCT
ejpam-6336	345	4	pages	page	NOUN
ejpam-6336	345	5	18846–18865	18846–18865	NUM
ejpam-6336	345	6	,	,	PUNCT
ejpam-6336	345	7	2023	2023	NUM
ejpam-6336	345	8	.	.	PUNCT
ejpam-6336	346	1	[	[	X
ejpam-6336	346	2	21	21	NUM
ejpam-6336	346	3	]	]	X
ejpam-6336	346	4	m.	m.	PROPN
ejpam-6336	346	5	khan	khan	PROPN
ejpam-6336	346	6	,	,	PUNCT
ejpam-6336	346	7	n.	n.	PROPN
ejpam-6336	346	8	khan	khan	PROPN
ejpam-6336	346	9	,	,	PUNCT
ejpam-6336	346	10	i.	i.	PROPN
ejpam-6336	346	11	ullah	ullah	PROPN
ejpam-6336	346	12	,	,	PUNCT
ejpam-6336	346	13	et	et	PROPN
ejpam-6336	346	14	al	al	PROPN
ejpam-6336	346	15	.	.	PUNCT
ejpam-6336	347	1	a	a	DET
ejpam-6336	347	2	novel	novel	ADJ
ejpam-6336	347	3	fractal	fractal	ADJ
ejpam-6336	347	4	fractional	fractional	ADJ
ejpam-6336	347	5	mathematical	mathematical	ADJ
ejpam-6336	347	6	model	model	NOUN
ejpam-6336	347	7	for	for	ADP
ejpam-6336	347	8	hiv	hiv	PROPN
ejpam-6336	347	9	/	/	SYM
ejpam-6336	347	10	aids	aids	PROPN
ejpam-6336	347	11	transmission	transmission	NOUN
ejpam-6336	347	12	stability	stability	NOUN
ejpam-6336	347	13	and	and	CCONJ
ejpam-6336	347	14	sensitivity	sensitivity	NOUN
ejpam-6336	347	15	with	with	ADP
ejpam-6336	347	16	numerical	numerical	ADJ
ejpam-6336	347	17	analysis	analysis	NOUN
ejpam-6336	347	18	.	.	PUNCT
ejpam-6336	348	1	scientific	scientific	ADJ
ejpam-6336	348	2	reports	report	NOUN
ejpam-6336	348	3	,	,	PUNCT
ejpam-6336	348	4	page	page	NOUN
ejpam-6336	348	5	9291	9291	NUM
ejpam-6336	348	6	,	,	PUNCT
ejpam-6336	348	7	2025	2025	NUM
ejpam-6336	348	8	.	.	PUNCT
ejpam-6336	349	1	[	[	X
ejpam-6336	349	2	22	22	NUM
ejpam-6336	349	3	]	]	PUNCT
ejpam-6336	349	4	i.	i.	NOUN
ejpam-6336	349	5	shah	shah	PROPN
ejpam-6336	349	6	,	,	PUNCT
ejpam-6336	349	7	h.	h.	PROPN
ejpam-6336	349	8	alrabaiah	alrabaiah	PROPN
ejpam-6336	349	9	,	,	PUNCT
ejpam-6336	349	10	and	and	CCONJ
ejpam-6336	349	11	b.	b.	PROPN
ejpam-6336	349	12	ozdemir	ozdemir	PROPN
ejpam-6336	349	13	.	.	PUNCT
ejpam-6336	350	1	using	use	VERB
ejpam-6336	350	2	advanced	advanced	ADJ
ejpam-6336	350	3	analysis	analysis	NOUN
ejpam-6336	350	4	together	together	ADV
ejpam-6336	350	5	with	with	ADP
ejpam-6336	350	6	fractional	fractional	ADJ
ejpam-6336	350	7	order	order	NOUN
ejpam-6336	350	8	derivative	derivative	NOUN
ejpam-6336	350	9	to	to	PART
ejpam-6336	350	10	investigate	investigate	VERB
ejpam-6336	350	11	a	a	DET
ejpam-6336	350	12	smoking	smoking	NOUN
ejpam-6336	350	13	tobacco	tobacco	NOUN
ejpam-6336	350	14	cancer	cancer	NOUN
ejpam-6336	350	15	model	model	NOUN
ejpam-6336	350	16	.	.	PUNCT
ejpam-6336	351	1	results	result	NOUN
ejpam-6336	351	2	in	in	ADP
ejpam-6336	351	3	physics	physics	NOUN
ejpam-6336	351	4	,	,	PUNCT
ejpam-6336	351	5	page	page	NOUN
ejpam-6336	351	6	106700	106700	NUM
ejpam-6336	351	7	,	,	PUNCT
ejpam-6336	351	8	2023	2023	NUM
ejpam-6336	351	9	.	.	PUNCT
ejpam-6336	352	1	[	[	X
ejpam-6336	352	2	23	23	NUM
ejpam-6336	352	3	]	]	PUNCT
ejpam-6336	352	4	t.	t.	PROPN
ejpam-6336	352	5	abdeljawad	abdeljawad	PROPN
ejpam-6336	352	6	,	,	PUNCT
ejpam-6336	352	7	n.	n.	PROPN
ejpam-6336	352	8	khan	khan	PROPN
ejpam-6336	352	9	,	,	PUNCT
ejpam-6336	352	10	b.	b.	PROPN
ejpam-6336	352	11	abdalla	abdalla	PROPN
ejpam-6336	352	12	,	,	PUNCT
ejpam-6336	352	13	a.	a.	PROPN
ejpam-6336	352	14	al	al	PROPN
ejpam-6336	352	15	-	-	PUNCT
ejpam-6336	352	16	jaser	jaser	NOUN
ejpam-6336	352	17	,	,	PUNCT
ejpam-6336	352	18	m.	m.	NOUN
ejpam-6336	352	19	alqudah	alqudah	PROPN
ejpam-6336	352	20	,	,	PUNCT
ejpam-6336	352	21	and	and	CCONJ
ejpam-6336	352	22	k.	k.	PROPN
ejpam-6336	352	23	shah	shah	PROPN
ejpam-6336	352	24	.	.	PUNCT
ejpam-6336	353	1	a	a	DET
ejpam-6336	353	2	mathematical	mathematical	ADJ
ejpam-6336	353	3	analysis	analysis	NOUN
ejpam-6336	353	4	of	of	ADP
ejpam-6336	353	5	human	human	ADJ
ejpam-6336	353	6	papilloma	papilloma	NOUN
ejpam-6336	353	7	virus	virus	NOUN
ejpam-6336	353	8	(	(	PUNCT
ejpam-6336	353	9	hpv	hpv	NOUN
ejpam-6336	353	10	)	)	PUNCT
ejpam-6336	353	11	disease	disease	NOUN
ejpam-6336	353	12	with	with	ADP
ejpam-6336	353	13	new	new	ADJ
ejpam-6336	353	14	perspectives	perspective	NOUN
ejpam-6336	353	15	of	of	ADP
ejpam-6336	353	16	fractional	fractional	ADJ
ejpam-6336	353	17	calculus	calculus	NOUN
ejpam-6336	353	18	.	.	PUNCT
ejpam-6336	354	1	alexandria	alexandria	PROPN
ejpam-6336	354	2	engineering	engineering	PROPN
ejpam-6336	354	3	journal	journal	PROPN
ejpam-6336	354	4	,	,	PUNCT
ejpam-6336	354	5	pages	page	NOUN
ejpam-6336	354	6	575–599	575–599	NUM
ejpam-6336	354	7	,	,	PUNCT
ejpam-6336	354	8	2025	2025	NUM
ejpam-6336	354	9	.	.	PUNCT