id	sid	tid	token	lemma	pos
cord-354953-q1imoe7k	1	1	key	key	NN
cord-354953-q1imoe7k	1	2	:	:	:
cord-354953-q1imoe7k	2	1	cord-354953-q1imoe7k	cord-354953-q1imoe7k	JJ
cord-354953-q1imoe7k	2	2	authors	author	NNS
cord-354953-q1imoe7k	2	3	:	:	:
cord-354953-q1imoe7k	2	4	Zhong	Zhong	NNP
cord-354953-q1imoe7k	2	5	,	,	,
cord-354953-q1imoe7k	2	6	ShaoBo	ShaoBo	NNP
cord-354953-q1imoe7k	2	7	;	;	:
cord-354953-q1imoe7k	2	8	Huang	Huang	NNP
cord-354953-q1imoe7k	2	9	,	,	,
cord-354953-q1imoe7k	2	10	QuanYi	QuanYi	NNP
cord-354953-q1imoe7k	2	11	;	;	:
cord-354953-q1imoe7k	2	12	Song	Song	NNP
cord-354953-q1imoe7k	2	13	,	,	,
cord-354953-q1imoe7k	2	14	DunJiang	DunJiang	NNP
cord-354953-q1imoe7k	2	15	title	title	NN
cord-354953-q1imoe7k	2	16	:	:	:
cord-354953-q1imoe7k	2	17	Simulation	simulation	NN
cord-354953-q1imoe7k	2	18	of	of	IN
cord-354953-q1imoe7k	2	19	the	the	DT
cord-354953-q1imoe7k	2	20	spread	spread	NN
cord-354953-q1imoe7k	2	21	of	of	IN
cord-354953-q1imoe7k	2	22	infectious	infectious	JJ
cord-354953-q1imoe7k	2	23	diseases	disease	NNS
cord-354953-q1imoe7k	2	24	in	in	IN
cord-354953-q1imoe7k	2	25	a	a	DT
cord-354953-q1imoe7k	2	26	geographical	geographical	JJ
cord-354953-q1imoe7k	2	27	environment	environment	NN
cord-354953-q1imoe7k	2	28	date	date	NN
cord-354953-q1imoe7k	2	29	:	:	:
cord-354953-q1imoe7k	2	30	2009	2009	CD
cord-354953-q1imoe7k	2	31	-	-	SYM
cord-354953-q1imoe7k	2	32	02	02	CD
cord-354953-q1imoe7k	2	33	-	-	SYM
cord-354953-q1imoe7k	2	34	26	26	CD
cord-354953-q1imoe7k	2	35	journal	journal	NN
cord-354953-q1imoe7k	2	36	:	:	:
cord-354953-q1imoe7k	2	37	Sci	Sci	NNP
cord-354953-q1imoe7k	2	38	DOI	DOI	NNP
cord-354953-q1imoe7k	2	39	:	:	:
cord-354953-q1imoe7k	2	40	10.1007	10.1007	CD
cord-354953-q1imoe7k	2	41	/	/	SYM
cord-354953-q1imoe7k	2	42	s11430	s11430	NN
cord-354953-q1imoe7k	2	43	-	-	HYPH
cord-354953-q1imoe7k	2	44	009	009	CD
cord-354953-q1imoe7k	2	45	-	-	HYPH
cord-354953-q1imoe7k	2	46	0044	0044	CD
cord-354953-q1imoe7k	2	47	-	-	SYM
cord-354953-q1imoe7k	2	48	9	9	CD
cord-354953-q1imoe7k	2	49	sha	sha	NN
cord-354953-q1imoe7k	2	50	:	:	:
cord-354953-q1imoe7k	2	51	bf30423d4b37babbcfc4a5ec5f86e32a703d97dd	bf30423d4b37babbcfc4a5ec5f86e32a703d97dd	NNP
cord-354953-q1imoe7k	2	52	doc_id	doc_id	CD
cord-354953-q1imoe7k	2	53	:	:	:
cord-354953-q1imoe7k	3	1	354953	354953	CD
cord-354953-q1imoe7k	3	2	cord_uid	cord_uid	NN
cord-354953-q1imoe7k	3	3	:	:	:
cord-354953-q1imoe7k	3	4	q1imoe7k	q1imoe7k	.
cord-354953-q1imoe7k	4	1	The	the	DT
cord-354953-q1imoe7k	4	2	study	study	NN
cord-354953-q1imoe7k	4	3	of	of	IN
cord-354953-q1imoe7k	4	4	mathematical	mathematical	JJ
cord-354953-q1imoe7k	4	5	models	model	NNS
cord-354953-q1imoe7k	4	6	for	for	IN
cord-354953-q1imoe7k	4	7	the	the	DT
cord-354953-q1imoe7k	4	8	spread	spread	NN
cord-354953-q1imoe7k	4	9	of	of	IN
cord-354953-q1imoe7k	4	10	infectious	infectious	JJ
cord-354953-q1imoe7k	4	11	diseases	disease	NNS
cord-354953-q1imoe7k	4	12	is	be	VBZ
cord-354953-q1imoe7k	4	13	an	an	DT
cord-354953-q1imoe7k	4	14	important	important	JJ
cord-354953-q1imoe7k	4	15	issue	issue	NN
cord-354953-q1imoe7k	4	16	in	in	IN
cord-354953-q1imoe7k	4	17	epidemiology	epidemiology	NN
cord-354953-q1imoe7k	4	18	.	.	.
cord-354953-q1imoe7k	5	1	Given	give	VBN
cord-354953-q1imoe7k	5	2	the	the	DT
cord-354953-q1imoe7k	5	3	fact	fact	NN
cord-354953-q1imoe7k	5	4	that	that	IN
cord-354953-q1imoe7k	5	5	most	most	JJS
cord-354953-q1imoe7k	5	6	existing	existing	JJ
cord-354953-q1imoe7k	5	7	models	model	NNS
cord-354953-q1imoe7k	5	8	can	can	MD
cord-354953-q1imoe7k	5	9	not	not	RB
cord-354953-q1imoe7k	5	10	comprehensively	comprehensively	RB
cord-354953-q1imoe7k	5	11	depict	depict	VB
cord-354953-q1imoe7k	5	12	heterogeneities	heterogeneity	NNS
cord-354953-q1imoe7k	5	13	(	(	-LRB-
cord-354953-q1imoe7k	6	1	e.g.	e.g.	RB
cord-354953-q1imoe7k	6	2	,	,	,
cord-354953-q1imoe7k	6	3	the	the	DT
cord-354953-q1imoe7k	6	4	population	population	NN
cord-354953-q1imoe7k	6	5	heterogeneity	heterogeneity	NN
cord-354953-q1imoe7k	6	6	and	and	CC
cord-354953-q1imoe7k	6	7	the	the	DT
cord-354953-q1imoe7k	6	8	distribution	distribution	NN
cord-354953-q1imoe7k	6	9	heterogeneity	heterogeneity	NN
cord-354953-q1imoe7k	6	10	)	)	-RRB-
cord-354953-q1imoe7k	6	11	and	and	CC
cord-354953-q1imoe7k	6	12	complex	complex	JJ
cord-354953-q1imoe7k	6	13	contagion	contagion	NN
cord-354953-q1imoe7k	6	14	patterns	pattern	NNS
cord-354953-q1imoe7k	6	15	(	(	-LRB-
cord-354953-q1imoe7k	6	16	which	which	WDT
cord-354953-q1imoe7k	6	17	are	be	VBP
cord-354953-q1imoe7k	6	18	mostly	mostly	RB
cord-354953-q1imoe7k	6	19	caused	cause	VBN
cord-354953-q1imoe7k	6	20	by	by	IN
cord-354953-q1imoe7k	6	21	the	the	DT
cord-354953-q1imoe7k	6	22	human	human	JJ
cord-354953-q1imoe7k	6	23	interaction	interaction	NN
cord-354953-q1imoe7k	6	24	induced	induce	VBN
cord-354953-q1imoe7k	6	25	by	by	IN
cord-354953-q1imoe7k	6	26	modern	modern	JJ
cord-354953-q1imoe7k	6	27	transportation	transportation	NN
cord-354953-q1imoe7k	6	28	)	)	-RRB-
cord-354953-q1imoe7k	6	29	in	in	IN
cord-354953-q1imoe7k	6	30	the	the	DT
cord-354953-q1imoe7k	6	31	real	real	JJ
cord-354953-q1imoe7k	6	32	world	world	NN
cord-354953-q1imoe7k	6	33	,	,	,
cord-354953-q1imoe7k	6	34	a	a	DT
cord-354953-q1imoe7k	6	35	theoretical	theoretical	JJ
cord-354953-q1imoe7k	6	36	model	model	NN
cord-354953-q1imoe7k	6	37	of	of	IN
cord-354953-q1imoe7k	6	38	the	the	DT
cord-354953-q1imoe7k	6	39	spread	spread	NN
cord-354953-q1imoe7k	6	40	of	of	IN
cord-354953-q1imoe7k	6	41	infectious	infectious	JJ
cord-354953-q1imoe7k	6	42	diseases	disease	NNS
cord-354953-q1imoe7k	6	43	is	be	VBZ
cord-354953-q1imoe7k	6	44	proposed	propose	VBN
cord-354953-q1imoe7k	6	45	.	.	.
cord-354953-q1imoe7k	7	1	It	-PRON-	PRP
cord-354953-q1imoe7k	7	2	employs	employ	VBZ
cord-354953-q1imoe7k	7	3	geo	geo	NN
cord-354953-q1imoe7k	7	4	-	-	HYPH
cord-354953-q1imoe7k	7	5	entity	entity	NN
cord-354953-q1imoe7k	7	6	based	base	VBN
cord-354953-q1imoe7k	7	7	cellular	cellular	JJ
cord-354953-q1imoe7k	7	8	automata	automaton	NNS
cord-354953-q1imoe7k	7	9	to	to	TO
cord-354953-q1imoe7k	7	10	simulate	simulate	VB
cord-354953-q1imoe7k	7	11	the	the	DT
cord-354953-q1imoe7k	7	12	spread	spread	NN
cord-354953-q1imoe7k	7	13	of	of	IN
cord-354953-q1imoe7k	7	14	infectious	infectious	JJ
cord-354953-q1imoe7k	7	15	diseases	disease	NNS
cord-354953-q1imoe7k	7	16	in	in	IN
cord-354953-q1imoe7k	7	17	a	a	DT
cord-354953-q1imoe7k	7	18	geographical	geographical	JJ
cord-354953-q1imoe7k	7	19	environment	environment	NN
cord-354953-q1imoe7k	7	20	.	.	.
cord-354953-q1imoe7k	8	1	In	in	IN
cord-354953-q1imoe7k	8	2	the	the	DT
cord-354953-q1imoe7k	8	3	model	model	NN
cord-354953-q1imoe7k	8	4	,	,	,
cord-354953-q1imoe7k	8	5	physical	physical	JJ
cord-354953-q1imoe7k	8	6	geographical	geographical	JJ
cord-354953-q1imoe7k	8	7	regions	region	NNS
cord-354953-q1imoe7k	8	8	are	be	VBP
cord-354953-q1imoe7k	8	9	defined	define	VBN
cord-354953-q1imoe7k	8	10	as	as	IN
cord-354953-q1imoe7k	8	11	cells	cell	NNS
cord-354953-q1imoe7k	8	12	.	.	.
cord-354953-q1imoe7k	9	1	The	the	DT
cord-354953-q1imoe7k	9	2	population	population	NN
cord-354953-q1imoe7k	9	3	within	within	IN
cord-354953-q1imoe7k	9	4	each	each	DT
cord-354953-q1imoe7k	9	5	cell	cell	NN
cord-354953-q1imoe7k	9	6	is	be	VBZ
cord-354953-q1imoe7k	9	7	divided	divide	VBN
cord-354953-q1imoe7k	9	8	into	into	IN
cord-354953-q1imoe7k	9	9	three	three	CD
cord-354953-q1imoe7k	9	10	classes	class	NNS
cord-354953-q1imoe7k	9	11	:	:	:
cord-354953-q1imoe7k	9	12	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	9	13	,	,	,
cord-354953-q1imoe7k	9	14	Infective	Infective	NNP
cord-354953-q1imoe7k	9	15	,	,	,
cord-354953-q1imoe7k	9	16	and	and	CC
cord-354953-q1imoe7k	9	17	Recovered	Recovered	NNP
cord-354953-q1imoe7k	9	18	,	,	,
cord-354953-q1imoe7k	9	19	which	which	WDT
cord-354953-q1imoe7k	9	20	are	be	VBP
cord-354953-q1imoe7k	9	21	further	further	RB
cord-354953-q1imoe7k	9	22	divided	divide	VBN
cord-354953-q1imoe7k	9	23	into	into	IN
cord-354953-q1imoe7k	9	24	some	some	DT
cord-354953-q1imoe7k	9	25	subclasses	subclass	NNS
cord-354953-q1imoe7k	9	26	by	by	IN
cord-354953-q1imoe7k	9	27	states	state	NNS
cord-354953-q1imoe7k	9	28	of	of	IN
cord-354953-q1imoe7k	9	29	individuals	individual	NNS
cord-354953-q1imoe7k	9	30	.	.	.
cord-354953-q1imoe7k	10	1	The	the	DT
cord-354953-q1imoe7k	10	2	transition	transition	NN
cord-354953-q1imoe7k	10	3	rules	rule	NNS
cord-354953-q1imoe7k	10	4	,	,	,
cord-354953-q1imoe7k	10	5	which	which	WDT
cord-354953-q1imoe7k	10	6	determine	determine	VBP
cord-354953-q1imoe7k	10	7	the	the	DT
cord-354953-q1imoe7k	10	8	changes	change	NNS
cord-354953-q1imoe7k	10	9	of	of	IN
cord-354953-q1imoe7k	10	10	proportions	proportion	NNS
cord-354953-q1imoe7k	10	11	of	of	IN
cord-354953-q1imoe7k	10	12	those	those	DT
cord-354953-q1imoe7k	10	13	subclasses	subclass	NNS
cord-354953-q1imoe7k	10	14	and	and	CC
cord-354953-q1imoe7k	10	15	reciprocal	reciprocal	JJ
cord-354953-q1imoe7k	10	16	transformation	transformation	NN
cord-354953-q1imoe7k	10	17	formulas	formula	NNS
cord-354953-q1imoe7k	10	18	among	among	IN
cord-354953-q1imoe7k	10	19	them	-PRON-	PRP
cord-354953-q1imoe7k	10	20	,	,	,
cord-354953-q1imoe7k	10	21	are	be	VBP
cord-354953-q1imoe7k	10	22	provided	provide	VBN
cord-354953-q1imoe7k	10	23	.	.	.
cord-354953-q1imoe7k	11	1	Through	through	IN
cord-354953-q1imoe7k	11	2	defining	define	VBG
cord-354953-q1imoe7k	11	3	suitable	suitable	JJ
cord-354953-q1imoe7k	11	4	spatial	spatial	JJ
cord-354953-q1imoe7k	11	5	weighting	weighting	NN
cord-354953-q1imoe7k	11	6	functions	function	NNS
cord-354953-q1imoe7k	11	7	,	,	,
cord-354953-q1imoe7k	11	8	the	the	DT
cord-354953-q1imoe7k	11	9	model	model	NN
cord-354953-q1imoe7k	11	10	is	be	VBZ
cord-354953-q1imoe7k	11	11	applied	apply	VBN
cord-354953-q1imoe7k	11	12	to	to	TO
cord-354953-q1imoe7k	11	13	simulate	simulate	VB
cord-354953-q1imoe7k	11	14	the	the	DT
cord-354953-q1imoe7k	11	15	spread	spread	NN
cord-354953-q1imoe7k	11	16	of	of	IN
cord-354953-q1imoe7k	11	17	the	the	DT
cord-354953-q1imoe7k	11	18	infectious	infectious	JJ
cord-354953-q1imoe7k	11	19	diseases	disease	NNS
cord-354953-q1imoe7k	11	20	with	with	IN
cord-354953-q1imoe7k	11	21	not	not	RB
cord-354953-q1imoe7k	11	22	only	only	RB
cord-354953-q1imoe7k	11	23	local	local	JJ
cord-354953-q1imoe7k	11	24	contagion	contagion	NN
cord-354953-q1imoe7k	11	25	but	but	CC
cord-354953-q1imoe7k	11	26	also	also	RB
cord-354953-q1imoe7k	11	27	global	global	JJ
cord-354953-q1imoe7k	11	28	contagion	contagion	NN
cord-354953-q1imoe7k	11	29	.	.	.
cord-354953-q1imoe7k	12	1	With	with	IN
cord-354953-q1imoe7k	12	2	some	some	DT
cord-354953-q1imoe7k	12	3	cases	case	NNS
cord-354953-q1imoe7k	12	4	of	of	IN
cord-354953-q1imoe7k	12	5	simulation	simulation	NN
cord-354953-q1imoe7k	12	6	,	,	,
cord-354953-q1imoe7k	12	7	it	-PRON-	PRP
cord-354953-q1imoe7k	12	8	has	have	VBZ
cord-354953-q1imoe7k	12	9	been	be	VBN
cord-354953-q1imoe7k	12	10	shown	show	VBN
cord-354953-q1imoe7k	12	11	that	that	IN
cord-354953-q1imoe7k	12	12	the	the	DT
cord-354953-q1imoe7k	12	13	results	result	NNS
cord-354953-q1imoe7k	12	14	are	be	VBP
cord-354953-q1imoe7k	12	15	reasonably	reasonably	RB
cord-354953-q1imoe7k	12	16	consistent	consistent	JJ
cord-354953-q1imoe7k	12	17	with	with	IN
cord-354953-q1imoe7k	12	18	the	the	DT
cord-354953-q1imoe7k	12	19	spread	spread	NN
cord-354953-q1imoe7k	12	20	of	of	IN
cord-354953-q1imoe7k	12	21	infectious	infectious	JJ
cord-354953-q1imoe7k	12	22	diseases	disease	NNS
cord-354953-q1imoe7k	12	23	in	in	IN
cord-354953-q1imoe7k	12	24	the	the	DT
cord-354953-q1imoe7k	12	25	real	real	JJ
cord-354953-q1imoe7k	12	26	world	world	NN
cord-354953-q1imoe7k	12	27	.	.	.
cord-354953-q1imoe7k	13	1	The	the	DT
cord-354953-q1imoe7k	13	2	model	model	NN
cord-354953-q1imoe7k	13	3	is	be	VBZ
cord-354953-q1imoe7k	13	4	supposed	suppose	VBN
cord-354953-q1imoe7k	13	5	to	to	TO
cord-354953-q1imoe7k	13	6	model	model	VB
cord-354953-q1imoe7k	13	7	dynamics	dynamic	NNS
cord-354953-q1imoe7k	13	8	of	of	IN
cord-354953-q1imoe7k	13	9	infectious	infectious	JJ
cord-354953-q1imoe7k	13	10	diseases	disease	NNS
cord-354953-q1imoe7k	13	11	on	on	IN
cord-354953-q1imoe7k	13	12	complex	complex	JJ
cord-354953-q1imoe7k	13	13	networks	network	NNS
cord-354953-q1imoe7k	13	14	,	,	,
cord-354953-q1imoe7k	13	15	which	which	WDT
cord-354953-q1imoe7k	13	16	is	be	VBZ
cord-354953-q1imoe7k	13	17	nearly	nearly	RB
cord-354953-q1imoe7k	13	18	impossible	impossible	JJ
cord-354953-q1imoe7k	13	19	to	to	TO
cord-354953-q1imoe7k	13	20	be	be	VB
cord-354953-q1imoe7k	13	21	achieved	achieve	VBN
cord-354953-q1imoe7k	13	22	with	with	IN
cord-354953-q1imoe7k	13	23	differential	differential	JJ
cord-354953-q1imoe7k	13	24	equations	equation	NNS
cord-354953-q1imoe7k	13	25	because	because	IN
cord-354953-q1imoe7k	13	26	of	of	IN
cord-354953-q1imoe7k	13	27	the	the	DT
cord-354953-q1imoe7k	13	28	complexity	complexity	NN
cord-354953-q1imoe7k	13	29	of	of	IN
cord-354953-q1imoe7k	13	30	the	the	DT
cord-354953-q1imoe7k	13	31	problem	problem	NN
cord-354953-q1imoe7k	13	32	.	.	.
cord-354953-q1imoe7k	14	1	The	the	DT
cord-354953-q1imoe7k	14	2	cases	case	NNS
cord-354953-q1imoe7k	14	3	of	of	IN
cord-354953-q1imoe7k	14	4	simulation	simulation	NN
cord-354953-q1imoe7k	14	5	also	also	RB
cord-354953-q1imoe7k	14	6	demonstrate	demonstrate	VBP
cord-354953-q1imoe7k	14	7	that	that	IN
cord-354953-q1imoe7k	14	8	efforts	effort	NNS
cord-354953-q1imoe7k	14	9	of	of	IN
cord-354953-q1imoe7k	14	10	all	all	DT
cord-354953-q1imoe7k	14	11	kinds	kind	NNS
cord-354953-q1imoe7k	14	12	of	of	IN
cord-354953-q1imoe7k	14	13	interventions	intervention	NNS
cord-354953-q1imoe7k	14	14	can	can	MD
cord-354953-q1imoe7k	14	15	be	be	VB
cord-354953-q1imoe7k	14	16	visualized	visualize	VBN
cord-354953-q1imoe7k	14	17	and	and	CC
cord-354953-q1imoe7k	14	18	explored	explore	VBN
cord-354953-q1imoe7k	14	19	,	,	,
cord-354953-q1imoe7k	14	20	and	and	CC
cord-354953-q1imoe7k	14	21	then	then	RB
cord-354953-q1imoe7k	14	22	the	the	DT
cord-354953-q1imoe7k	14	23	model	model	NN
cord-354953-q1imoe7k	14	24	is	be	VBZ
cord-354953-q1imoe7k	14	25	able	able	JJ
cord-354953-q1imoe7k	14	26	to	to	TO
cord-354953-q1imoe7k	14	27	provide	provide	VB
cord-354953-q1imoe7k	14	28	decision	decision	NN
cord-354953-q1imoe7k	14	29	-	-	HYPH
cord-354953-q1imoe7k	14	30	making	make	VBG
cord-354953-q1imoe7k	14	31	support	support	NN
cord-354953-q1imoe7k	14	32	for	for	IN
cord-354953-q1imoe7k	14	33	prevention	prevention	NN
cord-354953-q1imoe7k	14	34	and	and	CC
cord-354953-q1imoe7k	14	35	control	control	NN
cord-354953-q1imoe7k	14	36	of	of	IN
cord-354953-q1imoe7k	14	37	infectious	infectious	JJ
cord-354953-q1imoe7k	14	38	diseases	disease	NNS
cord-354953-q1imoe7k	14	39	.	.	.
cord-354953-q1imoe7k	15	1	Infectious	infectious	JJ
cord-354953-q1imoe7k	15	2	diseases	disease	NNS
cord-354953-q1imoe7k	15	3	are	be	VBP
cord-354953-q1imoe7k	15	4	caused	cause	VBN
cord-354953-q1imoe7k	15	5	by	by	IN
cord-354953-q1imoe7k	15	6	pathogenic	pathogenic	JJ
cord-354953-q1imoe7k	15	7	microorganisms	microorganism	NNS
cord-354953-q1imoe7k	15	8	,	,	,
cord-354953-q1imoe7k	15	9	such	such	JJ
cord-354953-q1imoe7k	15	10	as	as	IN
cord-354953-q1imoe7k	15	11	bacteria	bacteria	NNS
cord-354953-q1imoe7k	15	12	,	,	,
cord-354953-q1imoe7k	15	13	viruses	virus	NNS
cord-354953-q1imoe7k	15	14	,	,	,
cord-354953-q1imoe7k	15	15	parasites	parasite	NNS
cord-354953-q1imoe7k	15	16	or	or	CC
cord-354953-q1imoe7k	15	17	fungi	fungus	NNS
cord-354953-q1imoe7k	15	18	,	,	,
cord-354953-q1imoe7k	15	19	and	and	CC
cord-354953-q1imoe7k	15	20	can	can	MD
cord-354953-q1imoe7k	15	21	spread	spread	VB
cord-354953-q1imoe7k	15	22	,	,	,
cord-354953-q1imoe7k	15	23	directly	directly	RB
cord-354953-q1imoe7k	15	24	or	or	CC
cord-354953-q1imoe7k	15	25	indirectly	indirectly	RB
cord-354953-q1imoe7k	15	26	,	,	,
cord-354953-q1imoe7k	15	27	from	from	IN
cord-354953-q1imoe7k	15	28	one	one	CD
cord-354953-q1imoe7k	15	29	person	person	NN
cord-354953-q1imoe7k	15	30	(	(	-LRB-
cord-354953-q1imoe7k	15	31	or	or	CC
cord-354953-q1imoe7k	15	32	animal	animal	NN
cord-354953-q1imoe7k	15	33	)	)	-RRB-
cord-354953-q1imoe7k	15	34	to	to	IN
cord-354953-q1imoe7k	15	35	another	another	DT
cord-354953-q1imoe7k	15	36	.	.	.
cord-354953-q1imoe7k	16	1	A	a	DT
cord-354953-q1imoe7k	16	2	serious	serious	JJ
cord-354953-q1imoe7k	16	3	infectious	infectious	JJ
cord-354953-q1imoe7k	16	4	disease	disease	NN
cord-354953-q1imoe7k	16	5	might	may	MD
cord-354953-q1imoe7k	16	6	cause	cause	VB
cord-354953-q1imoe7k	16	7	mass	mass	JJ
cord-354953-q1imoe7k	16	8	deaths	death	NNS
cord-354953-q1imoe7k	16	9	,	,	,
cord-354953-q1imoe7k	16	10	social	social	JJ
cord-354953-q1imoe7k	16	11	panics	panic	NNS
cord-354953-q1imoe7k	16	12	,	,	,
cord-354953-q1imoe7k	16	13	or	or	CC
cord-354953-q1imoe7k	16	14	even	even	RB
cord-354953-q1imoe7k	16	15	a	a	DT
cord-354953-q1imoe7k	16	16	national	national	JJ
cord-354953-q1imoe7k	16	17	crisis	crisis	NN
cord-354953-q1imoe7k	16	18	.	.	.
cord-354953-q1imoe7k	17	1	Some	some	DT
cord-354953-q1imoe7k	17	2	examples	example	NNS
cord-354953-q1imoe7k	17	3	of	of	IN
cord-354953-q1imoe7k	17	4	infectious	infectious	JJ
cord-354953-q1imoe7k	17	5	diseases	disease	NNS
cord-354953-q1imoe7k	17	6	are	be	VBP
cord-354953-q1imoe7k	17	7	the	the	DT
cord-354953-q1imoe7k	17	8	Black	Black	NNP
cord-354953-q1imoe7k	17	9	Death	Death	NNP
cord-354953-q1imoe7k	17	10	during	during	IN
cord-354953-q1imoe7k	17	11	the	the	DT
cord-354953-q1imoe7k	17	12	middle	middle	JJ
cord-354953-q1imoe7k	17	13	fourteenth	fourteenth	JJ
cord-354953-q1imoe7k	17	14	century	century	NN
cord-354953-q1imoe7k	17	15	,	,	,
cord-354953-q1imoe7k	17	16	the	the	DT
cord-354953-q1imoe7k	17	17	Spanish	spanish	JJ
cord-354953-q1imoe7k	17	18	Flu	Flu	NNP
cord-354953-q1imoe7k	17	19	pandemic	pandemic	NN
cord-354953-q1imoe7k	17	20	in	in	IN
cord-354953-q1imoe7k	17	21	1918	1918	CD
cord-354953-q1imoe7k	17	22	,	,	,
cord-354953-q1imoe7k	17	23	the	the	DT
cord-354953-q1imoe7k	17	24	Severe	severe	JJ
cord-354953-q1imoe7k	17	25	Acute	acute	JJ
cord-354953-q1imoe7k	17	26	Respiratory	Respiratory	NNP
cord-354953-q1imoe7k	17	27	Syndrome	Syndrome	NNP
cord-354953-q1imoe7k	17	28	(	(	-LRB-
cord-354953-q1imoe7k	17	29	SARS	SARS	NNP
cord-354953-q1imoe7k	17	30	)	)	-RRB-
cord-354953-q1imoe7k	17	31	in	in	IN
cord-354953-q1imoe7k	17	32	2002	2002	CD
cord-354953-q1imoe7k	17	33	,	,	,
cord-354953-q1imoe7k	17	34	and	and	CC
cord-354953-q1imoe7k	17	35	more	more	RBR
cord-354953-q1imoe7k	17	36	recently	recently	RB
cord-354953-q1imoe7k	17	37	,	,	,
cord-354953-q1imoe7k	17	38	the	the	DT
cord-354953-q1imoe7k	17	39	Highly	highly	RB
cord-354953-q1imoe7k	17	40	Pathogenic	pathogenic	JJ
cord-354953-q1imoe7k	17	41	Avian	avian	JJ
cord-354953-q1imoe7k	17	42	Influenza	influenza	NN
cord-354953-q1imoe7k	17	43	(	(	-LRB-
cord-354953-q1imoe7k	17	44	HPAI	HPAI	NNP
cord-354953-q1imoe7k	17	45	)	)	-RRB-
cord-354953-q1imoe7k	17	46	[	[	-LRB-
cord-354953-q1imoe7k	17	47	1	1	CD
cord-354953-q1imoe7k	17	48	]	]	-RRB-
cord-354953-q1imoe7k	17	49	.	.	.
cord-354953-q1imoe7k	18	1	In	in	IN
cord-354953-q1imoe7k	18	2	order	order	NN
cord-354953-q1imoe7k	18	3	to	to	TO
cord-354953-q1imoe7k	18	4	prevent	prevent	VB
cord-354953-q1imoe7k	18	5	and	and	CC
cord-354953-q1imoe7k	18	6	control	control	VB
cord-354953-q1imoe7k	18	7	infectious	infectious	JJ
cord-354953-q1imoe7k	18	8	diseases	disease	NNS
cord-354953-q1imoe7k	18	9	,	,	,
cord-354953-q1imoe7k	18	10	the	the	DT
cord-354953-q1imoe7k	18	11	study	study	NN
cord-354953-q1imoe7k	18	12	of	of	IN
cord-354953-q1imoe7k	18	13	mathematical	mathematical	JJ
cord-354953-q1imoe7k	18	14	models	model	NNS
cord-354953-q1imoe7k	18	15	for	for	IN
cord-354953-q1imoe7k	18	16	the	the	DT
cord-354953-q1imoe7k	18	17	spread	spread	NN
cord-354953-q1imoe7k	18	18	of	of	IN
cord-354953-q1imoe7k	18	19	infectious	infectious	JJ
cord-354953-q1imoe7k	18	20	diseases	disease	NNS
cord-354953-q1imoe7k	18	21	is	be	VBZ
cord-354953-q1imoe7k	18	22	an	an	DT
cord-354953-q1imoe7k	18	23	important	important	JJ
cord-354953-q1imoe7k	18	24	issue	issue	NN
cord-354953-q1imoe7k	18	25	in	in	IN
cord-354953-q1imoe7k	18	26	epidemiology	epidemiology	NN
cord-354953-q1imoe7k	18	27	.	.	.
cord-354953-q1imoe7k	19	1	Through	through	IN
cord-354953-q1imoe7k	19	2	scientifically	scientifically	RB
cord-354953-q1imoe7k	19	3	modeling	model	VBG
cord-354953-q1imoe7k	19	4	the	the	DT
cord-354953-q1imoe7k	19	5	spread	spread	NN
cord-354953-q1imoe7k	19	6	of	of	IN
cord-354953-q1imoe7k	19	7	an	an	DT
cord-354953-q1imoe7k	19	8	infectious	infectious	JJ
cord-354953-q1imoe7k	19	9	dis	dis	NN
cord-354953-q1imoe7k	19	10	-	-	NN
cord-354953-q1imoe7k	19	11	ease	ease	NN
cord-354953-q1imoe7k	19	12	,	,	,
cord-354953-q1imoe7k	19	13	some	some	DT
cord-354953-q1imoe7k	19	14	key	key	JJ
cord-354953-q1imoe7k	19	15	factors	factor	NNS
cord-354953-q1imoe7k	19	16	that	that	WDT
cord-354953-q1imoe7k	19	17	disclose	disclose	VBP
cord-354953-q1imoe7k	19	18	the	the	DT
cord-354953-q1imoe7k	19	19	mechanism	mechanism	NN
cord-354953-q1imoe7k	19	20	of	of	IN
cord-354953-q1imoe7k	19	21	the	the	DT
cord-354953-q1imoe7k	19	22	spread	spread	NN
cord-354953-q1imoe7k	19	23	of	of	IN
cord-354953-q1imoe7k	19	24	the	the	DT
cord-354953-q1imoe7k	19	25	disease	disease	NN
cord-354953-q1imoe7k	19	26	can	can	MD
cord-354953-q1imoe7k	19	27	be	be	VB
cord-354953-q1imoe7k	19	28	found	find	VBN
cord-354953-q1imoe7k	19	29	out	out	RP
cord-354953-q1imoe7k	19	30	and	and	CC
cord-354953-q1imoe7k	19	31	the	the	DT
cord-354953-q1imoe7k	19	32	effect	effect	NN
cord-354953-q1imoe7k	19	33	of	of	IN
cord-354953-q1imoe7k	19	34	some	some	DT
cord-354953-q1imoe7k	19	35	interventions	intervention	NNS
cord-354953-q1imoe7k	19	36	(	(	-LRB-
cord-354953-q1imoe7k	19	37	e.g.	e.g.	RB
cord-354953-q1imoe7k	19	38	,	,	,
cord-354953-q1imoe7k	19	39	therapy	therapy	NN
cord-354953-q1imoe7k	19	40	,	,	,
cord-354953-q1imoe7k	19	41	isolation	isolation	NN
cord-354953-q1imoe7k	19	42	,	,	,
cord-354953-q1imoe7k	19	43	immunization	immunization	NN
cord-354953-q1imoe7k	19	44	)	)	-RRB-
cord-354953-q1imoe7k	19	45	on	on	IN
cord-354953-q1imoe7k	19	46	the	the	DT
cord-354953-q1imoe7k	19	47	spread	spread	NN
cord-354953-q1imoe7k	19	48	of	of	IN
cord-354953-q1imoe7k	19	49	the	the	DT
cord-354953-q1imoe7k	19	50	disease	disease	NN
cord-354953-q1imoe7k	19	51	can	can	MD
cord-354953-q1imoe7k	19	52	be	be	VB
cord-354953-q1imoe7k	19	53	evaluated	evaluate	VBN
cord-354953-q1imoe7k	19	54	.	.	.
cord-354953-q1imoe7k	20	1	Modeling	model	VBG
cord-354953-q1imoe7k	20	2	infectious	infectious	JJ
cord-354953-q1imoe7k	20	3	diseases	disease	NNS
cord-354953-q1imoe7k	20	4	using	use	VBG
cord-354953-q1imoe7k	20	5	differential	differential	JJ
cord-354953-q1imoe7k	20	6	equations	equation	NNS
cord-354953-q1imoe7k	20	7	has	have	VBZ
cord-354953-q1imoe7k	20	8	been	be	VBN
cord-354953-q1imoe7k	20	9	a	a	DT
cord-354953-q1imoe7k	20	10	popular	popular	JJ
cord-354953-q1imoe7k	20	11	approach	approach	NN
cord-354953-q1imoe7k	20	12	.	.	.
cord-354953-q1imoe7k	21	1	In	in	IN
cord-354953-q1imoe7k	21	2	differential	differential	JJ
cord-354953-q1imoe7k	21	3	equation	equation	NN
cord-354953-q1imoe7k	21	4	models	model	NNS
cord-354953-q1imoe7k	21	5	,	,	,
cord-354953-q1imoe7k	21	6	the	the	DT
cord-354953-q1imoe7k	21	7	population	population	NN
cord-354953-q1imoe7k	21	8	is	be	VBZ
cord-354953-q1imoe7k	21	9	generally	generally	RB
cord-354953-q1imoe7k	21	10	divided	divide	VBN
cord-354953-q1imoe7k	21	11	into	into	IN
cord-354953-q1imoe7k	21	12	three	three	CD
cord-354953-q1imoe7k	21	13	classes	class	NNS
cord-354953-q1imoe7k	21	14	:	:	:
cord-354953-q1imoe7k	21	15	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	21	16	,	,	,
cord-354953-q1imoe7k	21	17	Infective	Infective	NNP
cord-354953-q1imoe7k	21	18	,	,	,
cord-354953-q1imoe7k	21	19	and	and	CC
cord-354953-q1imoe7k	21	20	Recovered	recover	VBN
cord-354953-q1imoe7k	21	21	.	.	.
cord-354953-q1imoe7k	22	1	The	the	DT
cord-354953-q1imoe7k	22	2	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	22	3	refers	refer	VBZ
cord-354953-q1imoe7k	22	4	to	to	IN
cord-354953-q1imoe7k	22	5	those	those	DT
cord-354953-q1imoe7k	22	6	healthy	healthy	JJ
cord-354953-q1imoe7k	22	7	individuals	individual	NNS
cord-354953-q1imoe7k	22	8	who	who	WP
cord-354953-q1imoe7k	22	9	are	be	VBP
cord-354953-q1imoe7k	22	10	susceptible	susceptible	JJ
cord-354953-q1imoe7k	22	11	to	to	IN
cord-354953-q1imoe7k	22	12	a	a	DT
cord-354953-q1imoe7k	22	13	certain	certain	JJ
cord-354953-q1imoe7k	22	14	infectious	infectious	JJ
cord-354953-q1imoe7k	22	15	disease	disease	NN
cord-354953-q1imoe7k	22	16	and	and	CC
cord-354953-q1imoe7k	22	17	are	be	VBP
cord-354953-q1imoe7k	22	18	likely	likely	JJ
cord-354953-q1imoe7k	22	19	to	to	TO
cord-354953-q1imoe7k	22	20	be	be	VB
cord-354953-q1imoe7k	22	21	infected	infect	VBN
cord-354953-q1imoe7k	22	22	with	with	IN
cord-354953-q1imoe7k	22	23	the	the	DT
cord-354953-q1imoe7k	22	24	disease	disease	NN
cord-354953-q1imoe7k	22	25	.	.	.
cord-354953-q1imoe7k	23	1	The	the	DT
cord-354953-q1imoe7k	23	2	Infective	Infective	NNP
cord-354953-q1imoe7k	23	3	refers	refer	VBZ
cord-354953-q1imoe7k	23	4	to	to	IN
cord-354953-q1imoe7k	23	5	the	the	DT
cord-354953-q1imoe7k	23	6	individuals	individual	NNS
cord-354953-q1imoe7k	23	7	under	under	IN
cord-354953-q1imoe7k	23	8	infection	infection	NN
cord-354953-q1imoe7k	23	9	.	.	.
cord-354953-q1imoe7k	24	1	The	the	DT
cord-354953-q1imoe7k	24	2	Recovered	Recovered	NNP
cord-354953-q1imoe7k	24	3	refers	refer	VBZ
cord-354953-q1imoe7k	24	4	to	to	IN
cord-354953-q1imoe7k	24	5	those	those	DT
cord-354953-q1imoe7k	24	6	who	who	WP
cord-354953-q1imoe7k	24	7	are	be	VBP
cord-354953-q1imoe7k	24	8	recovered	recover	VBN
cord-354953-q1imoe7k	24	9	from	from	IN
cord-354953-q1imoe7k	24	10	infection	infection	NN
cord-354953-q1imoe7k	24	11	with	with	IN
cord-354953-q1imoe7k	24	12	the	the	DT
cord-354953-q1imoe7k	24	13	disease	disease	NN
cord-354953-q1imoe7k	24	14	and	and	CC
cord-354953-q1imoe7k	24	15	are	be	VBP
cord-354953-q1imoe7k	24	16	contemporarily	contemporarily	RB
cord-354953-q1imoe7k	24	17	or	or	CC
cord-354953-q1imoe7k	24	18	permanently	permanently	RB
cord-354953-q1imoe7k	24	19	immune	immune	JJ
cord-354953-q1imoe7k	24	20	to	to	IN
cord-354953-q1imoe7k	24	21	the	the	DT
cord-354953-q1imoe7k	24	22	disease	disease	NN
cord-354953-q1imoe7k	24	23	.	.	.
cord-354953-q1imoe7k	25	1	To	to	TO
cord-354953-q1imoe7k	25	2	characterize	characterize	VB
cord-354953-q1imoe7k	25	3	the	the	DT
cord-354953-q1imoe7k	25	4	varying	vary	VBG
cord-354953-q1imoe7k	25	5	infection	infection	NN
cord-354953-q1imoe7k	25	6	force	force	NN
cord-354953-q1imoe7k	25	7	of	of	IN
cord-354953-q1imoe7k	25	8	an	an	DT
cord-354953-q1imoe7k	25	9	infected	infected	JJ
cord-354953-q1imoe7k	25	10	individual	individual	NN
cord-354953-q1imoe7k	25	11	,	,	,
cord-354953-q1imoe7k	25	12	the	the	DT
cord-354953-q1imoe7k	25	13	infection	infection	NN
cord-354953-q1imoe7k	25	14	period	period	NN
cord-354953-q1imoe7k	25	15	of	of	IN
cord-354953-q1imoe7k	25	16	a	a	DT
cord-354953-q1imoe7k	25	17	disease	disease	NN
cord-354953-q1imoe7k	25	18	is	be	VBZ
cord-354953-q1imoe7k	25	19	further	further	RB
cord-354953-q1imoe7k	25	20	divided	divide	VBN
cord-354953-q1imoe7k	25	21	into	into	IN
cord-354953-q1imoe7k	25	22	three	three	CD
cord-354953-q1imoe7k	25	23	phases	phase	NNS
cord-354953-q1imoe7k	25	24	:	:	:
cord-354953-q1imoe7k	25	25	incubation	incubation	NN
cord-354953-q1imoe7k	25	26	,	,	,
cord-354953-q1imoe7k	25	27	when	when	WRB
cord-354953-q1imoe7k	25	28	the	the	DT
cord-354953-q1imoe7k	25	29	individual	individual	NN
cord-354953-q1imoe7k	25	30	is	be	VBZ
cord-354953-q1imoe7k	25	31	already	already	RB
cord-354953-q1imoe7k	25	32	infected	infect	VBN
cord-354953-q1imoe7k	25	33	and	and	CC
cord-354953-q1imoe7k	25	34	infectious	infectious	JJ
cord-354953-q1imoe7k	25	35	but	but	CC
cord-354953-q1imoe7k	25	36	presents	present	VBZ
cord-354953-q1imoe7k	25	37	no	no	DT
cord-354953-q1imoe7k	25	38	symptoms	symptom	NNS
cord-354953-q1imoe7k	25	39	;	;	:
cord-354953-q1imoe7k	25	40	proper	proper	JJ
cord-354953-q1imoe7k	25	41	infection	infection	NN
cord-354953-q1imoe7k	25	42	,	,	,
cord-354953-q1imoe7k	25	43	when	when	WRB
cord-354953-q1imoe7k	25	44	the	the	DT
cord-354953-q1imoe7k	25	45	individual	individual	NN
cord-354953-q1imoe7k	25	46	is	be	VBZ
cord-354953-q1imoe7k	25	47	infectious	infectious	JJ
cord-354953-q1imoe7k	25	48	and	and	CC
cord-354953-q1imoe7k	25	49	shows	show	VBZ
cord-354953-q1imoe7k	25	50	the	the	DT
cord-354953-q1imoe7k	25	51	symptoms	symptom	NNS
cord-354953-q1imoe7k	25	52	;	;	:
cord-354953-q1imoe7k	25	53	and	and	CC
cord-354953-q1imoe7k	25	54	latency	latency	NN
cord-354953-q1imoe7k	25	55	,	,	,
cord-354953-q1imoe7k	25	56	when	when	WRB
cord-354953-q1imoe7k	25	57	the	the	DT
cord-354953-q1imoe7k	25	58	infected	infected	JJ
cord-354953-q1imoe7k	25	59	individual	individual	NN
cord-354953-q1imoe7k	25	60	is	be	VBZ
cord-354953-q1imoe7k	25	61	not	not	RB
cord-354953-q1imoe7k	25	62	infectious	infectious	JJ
cord-354953-q1imoe7k	25	63	anymore	anymore	RB
cord-354953-q1imoe7k	25	64	but	but	CC
cord-354953-q1imoe7k	25	65	still	still	RB
cord-354953-q1imoe7k	25	66	has	have	VBZ
cord-354953-q1imoe7k	25	67	the	the	DT
cord-354953-q1imoe7k	25	68	symptoms	symptom	NNS
cord-354953-q1imoe7k	25	69	[	[	-LRB-
cord-354953-q1imoe7k	25	70	2	2	CD
cord-354953-q1imoe7k	25	71	]	]	-RRB-
cord-354953-q1imoe7k	25	72	.	.	.
cord-354953-q1imoe7k	26	1	Two	two	CD
cord-354953-q1imoe7k	26	2	basic	basic	JJ
cord-354953-q1imoe7k	26	3	differential	differential	JJ
cord-354953-q1imoe7k	26	4	equation	equation	NN
cord-354953-q1imoe7k	26	5	models	model	NNS
cord-354953-q1imoe7k	26	6	were	be	VBD
cord-354953-q1imoe7k	26	7	extensively	extensively	RB
cord-354953-q1imoe7k	26	8	studied	study	VBN
cord-354953-q1imoe7k	26	9	.	.	.
cord-354953-q1imoe7k	27	1	One	one	CD
cord-354953-q1imoe7k	27	2	is	be	VBZ
cord-354953-q1imoe7k	27	3	SIR	SIR	NNP
cord-354953-q1imoe7k	27	4	model	model	NN
cord-354953-q1imoe7k	27	5	for	for	IN
cord-354953-q1imoe7k	27	6	modeling	model	VBG
cord-354953-q1imoe7k	27	7	the	the	DT
cord-354953-q1imoe7k	27	8	infectious	infectious	JJ
cord-354953-q1imoe7k	27	9	diseases	disease	NNS
cord-354953-q1imoe7k	27	10	that	that	WDT
cord-354953-q1imoe7k	27	11	confer	confer	VBP
cord-354953-q1imoe7k	27	12	immunity	immunity	NN
cord-354953-q1imoe7k	27	13	to	to	IN
cord-354953-q1imoe7k	27	14	the	the	DT
cord-354953-q1imoe7k	27	15	infected	infected	JJ
cord-354953-q1imoe7k	27	16	individuals	individual	NNS
cord-354953-q1imoe7k	27	17	after	after	IN
cord-354953-q1imoe7k	27	18	recovery	recovery	NN
cord-354953-q1imoe7k	27	19	(	(	-LRB-
cord-354953-q1imoe7k	27	20	e.g.	e.g.	RB
cord-354953-q1imoe7k	27	21	,	,	,
cord-354953-q1imoe7k	27	22	measles	measle	NNS
cord-354953-q1imoe7k	27	23	,	,	,
cord-354953-q1imoe7k	27	24	chickenpox	chickenpox	NN
cord-354953-q1imoe7k	27	25	,	,	,
cord-354953-q1imoe7k	27	26	mumps	mumps	NN
cord-354953-q1imoe7k	27	27	,	,	,
cord-354953-q1imoe7k	27	28	HIV	HIV	NNP
cord-354953-q1imoe7k	27	29	,	,	,
cord-354953-q1imoe7k	27	30	and	and	CC
cord-354953-q1imoe7k	27	31	poliomyelitis	poliomyelitis	NN
cord-354953-q1imoe7k	27	32	)	)	-RRB-
cord-354953-q1imoe7k	27	33	.	.	.
cord-354953-q1imoe7k	28	1	The	the	DT
cord-354953-q1imoe7k	28	2	other	other	JJ
cord-354953-q1imoe7k	28	3	is	be	VBZ
cord-354953-q1imoe7k	28	4	SIS	SIS	NNP
cord-354953-q1imoe7k	28	5	model	model	NN
cord-354953-q1imoe7k	28	6	for	for	IN
cord-354953-q1imoe7k	28	7	modeling	model	VBG
cord-354953-q1imoe7k	28	8	the	the	DT
cord-354953-q1imoe7k	28	9	infectious	infectious	JJ
cord-354953-q1imoe7k	28	10	diseases	disease	NNS
cord-354953-q1imoe7k	28	11	that	that	WDT
cord-354953-q1imoe7k	28	12	do	do	VBP
cord-354953-q1imoe7k	28	13	not	not	RB
cord-354953-q1imoe7k	28	14	confer	confer	VB
cord-354953-q1imoe7k	28	15	immunity	immunity	NN
cord-354953-q1imoe7k	28	16	to	to	IN
cord-354953-q1imoe7k	28	17	the	the	DT
cord-354953-q1imoe7k	28	18	infected	infected	JJ
cord-354953-q1imoe7k	28	19	individuals	individual	NNS
cord-354953-q1imoe7k	28	20	after	after	IN
cord-354953-q1imoe7k	28	21	recovery	recovery	NN
cord-354953-q1imoe7k	28	22	(	(	-LRB-
cord-354953-q1imoe7k	28	23	e.g.	e.g.	RB
cord-354953-q1imoe7k	28	24	meningitis	meningitis	NN
cord-354953-q1imoe7k	28	25	,	,	,
cord-354953-q1imoe7k	28	26	plague	plague	NN
cord-354953-q1imoe7k	28	27	,	,	,
cord-354953-q1imoe7k	28	28	venereal	venereal	JJ
cord-354953-q1imoe7k	28	29	diseases	disease	NNS
cord-354953-q1imoe7k	28	30	,	,	,
cord-354953-q1imoe7k	28	31	and	and	CC
cord-354953-q1imoe7k	28	32	malaria	malaria	NN
cord-354953-q1imoe7k	28	33	)	)	-RRB-
cord-354953-q1imoe7k	28	34	.	.	.
cord-354953-q1imoe7k	29	1	Some	some	DT
cord-354953-q1imoe7k	29	2	other	other	JJ
cord-354953-q1imoe7k	29	3	differential	differential	JJ
cord-354953-q1imoe7k	29	4	equation	equation	NN
cord-354953-q1imoe7k	29	5	models	model	NNS
cord-354953-q1imoe7k	29	6	are	be	VBP
cord-354953-q1imoe7k	29	7	more	more	RBR
cord-354953-q1imoe7k	29	8	or	or	CC
cord-354953-q1imoe7k	29	9	less	less	RBR
cord-354953-q1imoe7k	29	10	adapted	adapt	VBN
cord-354953-q1imoe7k	29	11	from	from	IN
cord-354953-q1imoe7k	29	12	SIR	SIR	NNP
cord-354953-q1imoe7k	29	13	or	or	CC
cord-354953-q1imoe7k	29	14	SIS	SIS	NNP
cord-354953-q1imoe7k	29	15	,	,	,
cord-354953-q1imoe7k	29	16	such	such	JJ
cord-354953-q1imoe7k	29	17	as	as	IN
cord-354953-q1imoe7k	29	18	SIRS	SIRS	NNP
cord-354953-q1imoe7k	29	19	,	,	,
cord-354953-q1imoe7k	29	20	SEIRS	SEIRS	NNP
cord-354953-q1imoe7k	29	21	and	and	CC
cord-354953-q1imoe7k	29	22	so	so	RB
cord-354953-q1imoe7k	29	23	on	on	IN
cord-354953-q1imoe7k	29	24	[	[	-LRB-
cord-354953-q1imoe7k	29	25	3	3	CD
cord-354953-q1imoe7k	29	26	]	]	-RRB-
cord-354953-q1imoe7k	29	27	.	.	.
cord-354953-q1imoe7k	30	1	These	these	DT
cord-354953-q1imoe7k	30	2	models	model	NNS
cord-354953-q1imoe7k	30	3	all	all	DT
cord-354953-q1imoe7k	30	4	assume	assume	VBP
cord-354953-q1imoe7k	30	5	that	that	IN
cord-354953-q1imoe7k	30	6	the	the	DT
cord-354953-q1imoe7k	30	7	population	population	NN
cord-354953-q1imoe7k	30	8	under	under	IN
cord-354953-q1imoe7k	30	9	study	study	NN
cord-354953-q1imoe7k	30	10	is	be	VBZ
cord-354953-q1imoe7k	30	11	homogeneous	homogeneous	JJ
cord-354953-q1imoe7k	30	12	and	and	CC
cord-354953-q1imoe7k	30	13	the	the	DT
cord-354953-q1imoe7k	30	14	interaction	interaction	NN
cord-354953-q1imoe7k	30	15	among	among	IN
cord-354953-q1imoe7k	30	16	individuals	individual	NNS
cord-354953-q1imoe7k	30	17	is	be	VBZ
cord-354953-q1imoe7k	30	18	equiprobable	equiprobable	JJ
cord-354953-q1imoe7k	30	19	.	.	.
cord-354953-q1imoe7k	31	1	These	these	DT
cord-354953-q1imoe7k	31	2	assumptions	assumption	NNS
cord-354953-q1imoe7k	31	3	are	be	VBP
cord-354953-q1imoe7k	31	4	unrealistic	unrealistic	JJ
cord-354953-q1imoe7k	31	5	,	,	,
cord-354953-q1imoe7k	31	6	which	which	WDT
cord-354953-q1imoe7k	31	7	are	be	VBP
cord-354953-q1imoe7k	31	8	also	also	RB
cord-354953-q1imoe7k	31	9	the	the	DT
cord-354953-q1imoe7k	31	10	intrinsic	intrinsic	JJ
cord-354953-q1imoe7k	31	11	drawbacks	drawback	NNS
cord-354953-q1imoe7k	31	12	of	of	IN
cord-354953-q1imoe7k	31	13	these	these	DT
cord-354953-q1imoe7k	31	14	differential	differential	JJ
cord-354953-q1imoe7k	31	15	equation	equation	NN
cord-354953-q1imoe7k	31	16	models	model	NNS
cord-354953-q1imoe7k	31	17	,	,	,
cord-354953-q1imoe7k	31	18	because	because	IN
cord-354953-q1imoe7k	31	19	the	the	DT
cord-354953-q1imoe7k	31	20	local	local	JJ
cord-354953-q1imoe7k	31	21	characters	character	NNS
cord-354953-q1imoe7k	31	22	are	be	VBP
cord-354953-q1imoe7k	31	23	neglected	neglect	VBN
cord-354953-q1imoe7k	31	24	in	in	IN
cord-354953-q1imoe7k	31	25	these	these	DT
cord-354953-q1imoe7k	31	26	models	model	NNS
cord-354953-q1imoe7k	31	27	[	[	-LRB-
cord-354953-q1imoe7k	31	28	4	4	CD
cord-354953-q1imoe7k	31	29	]	]	-RRB-
cord-354953-q1imoe7k	31	30	.	.	.
cord-354953-q1imoe7k	32	1	They	-PRON-	PRP
cord-354953-q1imoe7k	32	2	do	do	VBP
cord-354953-q1imoe7k	32	3	not	not	RB
cord-354953-q1imoe7k	32	4	include	include	VB
cord-354953-q1imoe7k	32	5	variable	variable	JJ
cord-354953-q1imoe7k	32	6	susceptibility	susceptibility	NN
cord-354953-q1imoe7k	32	7	of	of	IN
cord-354953-q1imoe7k	32	8	individuals	individual	NNS
cord-354953-q1imoe7k	32	9	,	,	,
cord-354953-q1imoe7k	32	10	and	and	CC
cord-354953-q1imoe7k	32	11	can	can	MD
cord-354953-q1imoe7k	32	12	not	not	RB
cord-354953-q1imoe7k	32	13	handle	handle	VB
cord-354953-q1imoe7k	32	14	the	the	DT
cord-354953-q1imoe7k	32	15	complicated	complicated	JJ
cord-354953-q1imoe7k	32	16	boundary	boundary	NN
cord-354953-q1imoe7k	32	17	and	and	CC
cord-354953-q1imoe7k	32	18	initial	initial	JJ
cord-354953-q1imoe7k	32	19	conditions	condition	NNS
cord-354953-q1imoe7k	32	20	[	[	-LRB-
cord-354953-q1imoe7k	32	21	5	5	CD
cord-354953-q1imoe7k	32	22	]	]	-RRB-
cord-354953-q1imoe7k	32	23	.	.	.
cord-354953-q1imoe7k	33	1	Furthermore	furthermore	RB
cord-354953-q1imoe7k	33	2	,	,	,
cord-354953-q1imoe7k	33	3	these	these	DT
cord-354953-q1imoe7k	33	4	models	model	NNS
cord-354953-q1imoe7k	33	5	are	be	VBP
cord-354953-q1imoe7k	33	6	all	all	DT
cord-354953-q1imoe7k	33	7	adimensional	adimensional	JJ
cord-354953-q1imoe7k	33	8	,	,	,
cord-354953-q1imoe7k	33	9	i.e.	i.e.	FW
cord-354953-q1imoe7k	33	10	,	,	,
cord-354953-q1imoe7k	33	11	they	-PRON-	PRP
cord-354953-q1imoe7k	33	12	can	can	MD
cord-354953-q1imoe7k	33	13	depict	depict	VB
cord-354953-q1imoe7k	33	14	the	the	DT
cord-354953-q1imoe7k	33	15	changes	change	NNS
cord-354953-q1imoe7k	33	16	of	of	IN
cord-354953-q1imoe7k	33	17	the	the	DT
cord-354953-q1imoe7k	33	18	number	number	NN
cord-354953-q1imoe7k	33	19	of	of	IN
cord-354953-q1imoe7k	33	20	all	all	DT
cord-354953-q1imoe7k	33	21	classes	class	NNS
cord-354953-q1imoe7k	33	22	of	of	IN
cord-354953-q1imoe7k	33	23	individuals	individual	NNS
cord-354953-q1imoe7k	33	24	in	in	IN
cord-354953-q1imoe7k	33	25	time	time	NN
cord-354953-q1imoe7k	33	26	,	,	,
cord-354953-q1imoe7k	33	27	but	but	CC
cord-354953-q1imoe7k	33	28	not	not	RB
cord-354953-q1imoe7k	33	29	in	in	IN
cord-354953-q1imoe7k	33	30	space	space	NN
cord-354953-q1imoe7k	33	31	.	.	.
cord-354953-q1imoe7k	34	1	Some	some	DT
cord-354953-q1imoe7k	34	2	types	type	NNS
cord-354953-q1imoe7k	34	3	of	of	IN
cord-354953-q1imoe7k	34	4	methods	method	NNS
cord-354953-q1imoe7k	34	5	are	be	VBP
cord-354953-q1imoe7k	34	6	developed	develop	VBN
cord-354953-q1imoe7k	34	7	to	to	TO
cord-354953-q1imoe7k	34	8	deal	deal	VB
cord-354953-q1imoe7k	34	9	with	with	IN
cord-354953-q1imoe7k	34	10	the	the	DT
cord-354953-q1imoe7k	34	11	heterogeneous	heterogeneous	JJ
cord-354953-q1imoe7k	34	12	characteristics	characteristic	NNS
cord-354953-q1imoe7k	34	13	.	.	.
cord-354953-q1imoe7k	35	1	Spatial	spatial	JJ
cord-354953-q1imoe7k	35	2	infectious	infectious	JJ
cord-354953-q1imoe7k	35	3	disease	disease	NN
cord-354953-q1imoe7k	35	4	models	model	NNS
cord-354953-q1imoe7k	35	5	and	and	CC
cord-354953-q1imoe7k	35	6	Cellular	Cellular	NNP
cord-354953-q1imoe7k	35	7	Automata	Automata	NNP
cord-354953-q1imoe7k	35	8	(	(	-LRB-
cord-354953-q1imoe7k	35	9	CA	CA	NNP
cord-354953-q1imoe7k	35	10	)	)	-RRB-
cord-354953-q1imoe7k	35	11	models	model	NNS
cord-354953-q1imoe7k	35	12	are	be	VBP
cord-354953-q1imoe7k	35	13	two	two	CD
cord-354953-q1imoe7k	35	14	outstanding	outstanding	JJ
cord-354953-q1imoe7k	35	15	types	type	NNS
cord-354953-q1imoe7k	35	16	of	of	IN
cord-354953-q1imoe7k	35	17	them	-PRON-	PRP
cord-354953-q1imoe7k	35	18	.	.	.
cord-354953-q1imoe7k	36	1	In	in	IN
cord-354953-q1imoe7k	36	2	essence	essence	NN
cord-354953-q1imoe7k	36	3	,	,	,
cord-354953-q1imoe7k	36	4	spatial	spatial	JJ
cord-354953-q1imoe7k	36	5	infectious	infectious	JJ
cord-354953-q1imoe7k	36	6	disease	disease	NN
cord-354953-q1imoe7k	36	7	models	model	NNS
cord-354953-q1imoe7k	36	8	[	[	-LRB-
cord-354953-q1imoe7k	36	9	6	6	CD
cord-354953-q1imoe7k	36	10	]	]	-RRB-
cord-354953-q1imoe7k	36	11	are	be	VBP
cord-354953-q1imoe7k	36	12	composed	compose	VBN
cord-354953-q1imoe7k	36	13	of	of	IN
cord-354953-q1imoe7k	36	14	a	a	DT
cord-354953-q1imoe7k	36	15	system	system	NN
cord-354953-q1imoe7k	36	16	of	of	IN
cord-354953-q1imoe7k	36	17	differential	differential	JJ
cord-354953-q1imoe7k	36	18	equations	equation	NNS
cord-354953-q1imoe7k	36	19	and	and	CC
cord-354953-q1imoe7k	36	20	understandably	understandably	RB
cord-354953-q1imoe7k	36	21	have	have	VBP
cord-354953-q1imoe7k	36	22	the	the	DT
cord-354953-q1imoe7k	36	23	common	common	JJ
cord-354953-q1imoe7k	36	24	shortcomings	shortcoming	NNS
cord-354953-q1imoe7k	36	25	as	as	IN
cord-354953-q1imoe7k	36	26	differential	differential	JJ
cord-354953-q1imoe7k	36	27	equation	equation	NN
cord-354953-q1imoe7k	36	28	models	model	NNS
cord-354953-q1imoe7k	36	29	.	.	.
cord-354953-q1imoe7k	37	1	However	however	RB
cord-354953-q1imoe7k	37	2	,	,	,
cord-354953-q1imoe7k	37	3	CA	CA	NNP
cord-354953-q1imoe7k	37	4	models	model	NNS
cord-354953-q1imoe7k	37	5	are	be	VBP
cord-354953-q1imoe7k	37	6	a	a	DT
cord-354953-q1imoe7k	37	7	new	new	JJ
cord-354953-q1imoe7k	37	8	kind	kind	NN
cord-354953-q1imoe7k	37	9	of	of	IN
cord-354953-q1imoe7k	37	10	computational	computational	JJ
cord-354953-q1imoe7k	37	11	techniques	technique	NNS
cord-354953-q1imoe7k	37	12	for	for	IN
cord-354953-q1imoe7k	37	13	simulating	simulate	VBG
cord-354953-q1imoe7k	37	14	the	the	DT
cord-354953-q1imoe7k	37	15	real	real	JJ
cord-354953-q1imoe7k	37	16	world	world	NN
cord-354953-q1imoe7k	37	17	,	,	,
cord-354953-q1imoe7k	37	18	introduced	introduce	VBN
cord-354953-q1imoe7k	37	19	first	first	RB
cord-354953-q1imoe7k	37	20	by	by	IN
cord-354953-q1imoe7k	37	21	Von	Von	NNP
cord-354953-q1imoe7k	37	22	Neumann	Neumann	NNP
cord-354953-q1imoe7k	37	23	[	[	-LRB-
cord-354953-q1imoe7k	37	24	7	7	CD
cord-354953-q1imoe7k	37	25	]	]	-RRB-
cord-354953-q1imoe7k	37	26	.	.	.
cord-354953-q1imoe7k	38	1	At	at	IN
cord-354953-q1imoe7k	38	2	first	first	RB
cord-354953-q1imoe7k	38	3	,	,	,
cord-354953-q1imoe7k	38	4	they	-PRON-	PRP
cord-354953-q1imoe7k	38	5	were	be	VBD
cord-354953-q1imoe7k	38	6	mainly	mainly	RB
cord-354953-q1imoe7k	38	7	used	use	VBN
cord-354953-q1imoe7k	38	8	for	for	IN
cord-354953-q1imoe7k	38	9	simulation	simulation	NN
cord-354953-q1imoe7k	38	10	of	of	IN
cord-354953-q1imoe7k	38	11	physics	physics	NN
cord-354953-q1imoe7k	38	12	systems	system	NNS
cord-354953-q1imoe7k	38	13	.	.	.
cord-354953-q1imoe7k	39	1	In	in	IN
cord-354953-q1imoe7k	39	2	recent	recent	JJ
cord-354953-q1imoe7k	39	3	years	year	NNS
cord-354953-q1imoe7k	39	4	,	,	,
cord-354953-q1imoe7k	39	5	many	many	JJ
cord-354953-q1imoe7k	39	6	researchers	researcher	NNS
cord-354953-q1imoe7k	39	7	from	from	IN
cord-354953-q1imoe7k	39	8	all	all	DT
cord-354953-q1imoe7k	39	9	kinds	kind	NNS
cord-354953-q1imoe7k	39	10	of	of	IN
cord-354953-q1imoe7k	39	11	fields	field	NNS
cord-354953-q1imoe7k	39	12	have	have	VBP
cord-354953-q1imoe7k	39	13	had	have	VBN
cord-354953-q1imoe7k	39	14	an	an	DT
cord-354953-q1imoe7k	39	15	increasing	increase	VBG
cord-354953-q1imoe7k	39	16	interest	interest	NN
cord-354953-q1imoe7k	39	17	in	in	IN
cord-354953-q1imoe7k	39	18	them	-PRON-	PRP
cord-354953-q1imoe7k	39	19	thanks	thank	NNS
cord-354953-q1imoe7k	39	20	to	to	IN
cord-354953-q1imoe7k	39	21	the	the	DT
cord-354953-q1imoe7k	39	22	development	development	NN
cord-354953-q1imoe7k	39	23	of	of	IN
cord-354953-q1imoe7k	39	24	the	the	DT
cord-354953-q1imoe7k	39	25	computer	computer	NN
cord-354953-q1imoe7k	39	26	techniques	technique	NNS
cord-354953-q1imoe7k	39	27	.	.	.
cord-354953-q1imoe7k	40	1	Some	some	DT
cord-354953-q1imoe7k	40	2	authors	author	NNS
cord-354953-q1imoe7k	40	3	have	have	VBP
cord-354953-q1imoe7k	40	4	applied	apply	VBN
cord-354953-q1imoe7k	40	5	CA	CA	NNP
cord-354953-q1imoe7k	40	6	to	to	TO
cord-354953-q1imoe7k	40	7	model	model	VB
cord-354953-q1imoe7k	40	8	infectious	infectious	JJ
cord-354953-q1imoe7k	40	9	diseases	disease	NNS
cord-354953-q1imoe7k	40	10	[	[	-LRB-
cord-354953-q1imoe7k	40	11	1	1	CD
cord-354953-q1imoe7k	40	12	,	,	,
cord-354953-q1imoe7k	40	13	2	2	CD
cord-354953-q1imoe7k	40	14	,	,	,
cord-354953-q1imoe7k	40	15	5	5	CD
cord-354953-q1imoe7k	40	16	,	,	,
cord-354953-q1imoe7k	40	17	8	8	CD
cord-354953-q1imoe7k	40	18	,	,	,
cord-354953-q1imoe7k	40	19	9	9	CD
cord-354953-q1imoe7k	40	20	]	]	-RRB-
cord-354953-q1imoe7k	40	21	.	.	.
cord-354953-q1imoe7k	41	1	They	-PRON-	PRP
cord-354953-q1imoe7k	41	2	basically	basically	RB
cord-354953-q1imoe7k	41	3	construct	construct	VBP
cord-354953-q1imoe7k	41	4	the	the	DT
cord-354953-q1imoe7k	41	5	CA	CA	NNP
cord-354953-q1imoe7k	41	6	based	base	VBN
cord-354953-q1imoe7k	41	7	on	on	IN
cord-354953-q1imoe7k	41	8	differential	differential	JJ
cord-354953-q1imoe7k	41	9	equation	equation	NN
cord-354953-q1imoe7k	41	10	models	model	NNS
cord-354953-q1imoe7k	41	11	.	.	.
cord-354953-q1imoe7k	42	1	By	by	IN
cord-354953-q1imoe7k	42	2	that	that	DT
cord-354953-q1imoe7k	42	3	way	way	NN
cord-354953-q1imoe7k	42	4	,	,	,
cord-354953-q1imoe7k	42	5	some	some	DT
cord-354953-q1imoe7k	42	6	epidemiological	epidemiological	JJ
cord-354953-q1imoe7k	42	7	features	feature	NNS
cord-354953-q1imoe7k	42	8	of	of	IN
cord-354953-q1imoe7k	42	9	an	an	DT
cord-354953-q1imoe7k	42	10	infectious	infectious	JJ
cord-354953-q1imoe7k	42	11	disease	disease	NN
cord-354953-q1imoe7k	42	12	can	can	MD
cord-354953-q1imoe7k	42	13	be	be	VB
cord-354953-q1imoe7k	42	14	expressed	express	VBN
cord-354953-q1imoe7k	42	15	more	more	RBR
cord-354953-q1imoe7k	42	16	directly	directly	RB
cord-354953-q1imoe7k	42	17	.	.	.
cord-354953-q1imoe7k	43	1	Moreover	moreover	RB
cord-354953-q1imoe7k	43	2	,	,	,
cord-354953-q1imoe7k	43	3	CA	CA	NNP
cord-354953-q1imoe7k	43	4	simulation	simulation	NN
cord-354953-q1imoe7k	43	5	can	can	MD
cord-354953-q1imoe7k	43	6	present	present	VB
cord-354953-q1imoe7k	43	7	visual	visual	JJ
cord-354953-q1imoe7k	43	8	results	result	NNS
cord-354953-q1imoe7k	43	9	that	that	WDT
cord-354953-q1imoe7k	43	10	enable	enable	VBP
cord-354953-q1imoe7k	43	11	us	-PRON-	PRP
cord-354953-q1imoe7k	43	12	to	to	TO
cord-354953-q1imoe7k	43	13	ascertain	ascertain	VB
cord-354953-q1imoe7k	43	14	some	some	DT
cord-354953-q1imoe7k	43	15	key	key	JJ
cord-354953-q1imoe7k	43	16	features	feature	NNS
cord-354953-q1imoe7k	43	17	of	of	IN
cord-354953-q1imoe7k	43	18	the	the	DT
cord-354953-q1imoe7k	43	19	spread	spread	NN
cord-354953-q1imoe7k	43	20	of	of	IN
cord-354953-q1imoe7k	43	21	an	an	DT
cord-354953-q1imoe7k	43	22	infectious	infectious	JJ
cord-354953-q1imoe7k	43	23	disease	disease	NN
cord-354953-q1imoe7k	43	24	through	through	IN
cord-354953-q1imoe7k	43	25	experiment	experiment	NN
cord-354953-q1imoe7k	43	26	and	and	CC
cord-354953-q1imoe7k	43	27	observation	observation	NN
cord-354953-q1imoe7k	43	28	.	.	.
cord-354953-q1imoe7k	44	1	In	in	IN
cord-354953-q1imoe7k	44	2	most	most	JJS
cord-354953-q1imoe7k	44	3	existing	existing	JJ
cord-354953-q1imoe7k	44	4	studies	study	NNS
cord-354953-q1imoe7k	44	5	,	,	,
cord-354953-q1imoe7k	44	6	CA	CA	NNP
cord-354953-q1imoe7k	44	7	models	model	NNS
cord-354953-q1imoe7k	44	8	use	use	VBP
cord-354953-q1imoe7k	44	9	cellular	cellular	JJ
cord-354953-q1imoe7k	44	10	space	space	NN
cord-354953-q1imoe7k	44	11	that	that	WDT
cord-354953-q1imoe7k	44	12	is	be	VBZ
cord-354953-q1imoe7k	44	13	generated	generate	VBN
cord-354953-q1imoe7k	44	14	by	by	IN
cord-354953-q1imoe7k	44	15	equably	equably	RB
cord-354953-q1imoe7k	44	16	dividing	divide	VBG
cord-354953-q1imoe7k	44	17	the	the	DT
cord-354953-q1imoe7k	44	18	research	research	NN
cord-354953-q1imoe7k	44	19	area	area	NN
cord-354953-q1imoe7k	44	20	into	into	IN
cord-354953-q1imoe7k	44	21	regular	regular	JJ
cord-354953-q1imoe7k	44	22	lattices	lattice	NNS
cord-354953-q1imoe7k	44	23	.	.	.
cord-354953-q1imoe7k	45	1	And	and	CC
cord-354953-q1imoe7k	45	2	in	in	IN
cord-354953-q1imoe7k	45	3	those	those	DT
cord-354953-q1imoe7k	45	4	studies	study	NNS
cord-354953-q1imoe7k	45	5	,	,	,
cord-354953-q1imoe7k	45	6	the	the	DT
cord-354953-q1imoe7k	45	7	classic	classic	JJ
cord-354953-q1imoe7k	45	8	neighbor	neighbor	NN
cord-354953-q1imoe7k	45	9	patterns	pattern	NNS
cord-354953-q1imoe7k	45	10	,	,	,
cord-354953-q1imoe7k	45	11	such	such	JJ
cord-354953-q1imoe7k	45	12	as	as	IN
cord-354953-q1imoe7k	45	13	Moore	Moore	NNP
cord-354953-q1imoe7k	45	14	and	and	CC
cord-354953-q1imoe7k	45	15	von	von	NNP
cord-354953-q1imoe7k	45	16	Neumann	Neumann	NNP
cord-354953-q1imoe7k	45	17	neighbors	neighbor	NNS
cord-354953-q1imoe7k	45	18	,	,	,
cord-354953-q1imoe7k	45	19	are	be	VBP
cord-354953-q1imoe7k	45	20	applied	apply	VBN
cord-354953-q1imoe7k	45	21	and	and	CC
cord-354953-q1imoe7k	45	22	the	the	DT
cord-354953-q1imoe7k	45	23	transition	transition	NN
cord-354953-q1imoe7k	45	24	rules	rule	NNS
cord-354953-q1imoe7k	45	25	of	of	IN
cord-354953-q1imoe7k	45	26	the	the	DT
cord-354953-q1imoe7k	45	27	CA	CA	NNP
cord-354953-q1imoe7k	45	28	are	be	VBP
cord-354953-q1imoe7k	45	29	derived	derive	VBN
cord-354953-q1imoe7k	45	30	from	from	IN
cord-354953-q1imoe7k	45	31	the	the	DT
cord-354953-q1imoe7k	45	32	relevant	relevant	JJ
cord-354953-q1imoe7k	45	33	differential	differential	JJ
cord-354953-q1imoe7k	45	34	equation	equation	NN
cord-354953-q1imoe7k	45	35	models	model	NNS
cord-354953-q1imoe7k	45	36	.	.	.
cord-354953-q1imoe7k	46	1	These	these	DT
cord-354953-q1imoe7k	46	2	,	,	,
cord-354953-q1imoe7k	46	3	however	however	RB
cord-354953-q1imoe7k	46	4	,	,	,
cord-354953-q1imoe7k	46	5	have	have	VBP
cord-354953-q1imoe7k	46	6	some	some	DT
cord-354953-q1imoe7k	46	7	shortcomings	shortcoming	NNS
cord-354953-q1imoe7k	46	8	.	.	.
cord-354953-q1imoe7k	47	1	First	first	RB
cord-354953-q1imoe7k	47	2	of	of	IN
cord-354953-q1imoe7k	47	3	all	all	DT
cord-354953-q1imoe7k	47	4	,	,	,
cord-354953-q1imoe7k	47	5	the	the	DT
cord-354953-q1imoe7k	47	6	classic	classic	JJ
cord-354953-q1imoe7k	47	7	neighbor	neighbor	NN
cord-354953-q1imoe7k	47	8	patterns	pattern	NNS
cord-354953-q1imoe7k	47	9	are	be	VBP
cord-354953-q1imoe7k	47	10	not	not	RB
cord-354953-q1imoe7k	47	11	suitable	suitable	JJ
cord-354953-q1imoe7k	47	12	for	for	IN
cord-354953-q1imoe7k	47	13	some	some	DT
cord-354953-q1imoe7k	47	14	special	special	JJ
cord-354953-q1imoe7k	47	15	diseases	disease	NNS
cord-354953-q1imoe7k	47	16	while	while	IN
cord-354953-q1imoe7k	47	17	they	-PRON-	PRP
cord-354953-q1imoe7k	47	18	are	be	VBP
cord-354953-q1imoe7k	47	19	suitable	suitable	JJ
cord-354953-q1imoe7k	47	20	for	for	IN
cord-354953-q1imoe7k	47	21	characterizing	characterize	VBG
cord-354953-q1imoe7k	47	22	the	the	DT
cord-354953-q1imoe7k	47	23	spread	spread	NN
cord-354953-q1imoe7k	47	24	of	of	IN
cord-354953-q1imoe7k	47	25	some	some	DT
cord-354953-q1imoe7k	47	26	infectious	infectious	JJ
cord-354953-q1imoe7k	47	27	diseases	disease	NNS
cord-354953-q1imoe7k	47	28	.	.	.
cord-354953-q1imoe7k	48	1	SARS	SARS	NNP
cord-354953-q1imoe7k	48	2	is	be	VBZ
cord-354953-q1imoe7k	48	3	one	one	CD
cord-354953-q1imoe7k	48	4	of	of	IN
cord-354953-q1imoe7k	48	5	the	the	DT
cord-354953-q1imoe7k	48	6	typical	typical	JJ
cord-354953-q1imoe7k	48	7	examples	example	NNS
cord-354953-q1imoe7k	48	8	.	.	.
cord-354953-q1imoe7k	49	1	The	the	DT
cord-354953-q1imoe7k	49	2	spread	spread	NN
cord-354953-q1imoe7k	49	3	of	of	IN
cord-354953-q1imoe7k	49	4	SARS	SARS	NNP
cord-354953-q1imoe7k	49	5	shows	show	VBZ
cord-354953-q1imoe7k	49	6	the	the	DT
cord-354953-q1imoe7k	49	7	small	small	JJ
cord-354953-q1imoe7k	49	8	world	world	NN
cord-354953-q1imoe7k	49	9	characteristic	characteristic	JJ
cord-354953-q1imoe7k	49	10	[	[	-LRB-
cord-354953-q1imoe7k	49	11	10	10	CD
cord-354953-q1imoe7k	49	12	]	]	-RRB-
cord-354953-q1imoe7k	49	13	which	which	WDT
cord-354953-q1imoe7k	49	14	is	be	VBZ
cord-354953-q1imoe7k	49	15	completely	completely	RB
cord-354953-q1imoe7k	49	16	different	different	JJ
cord-354953-q1imoe7k	49	17	from	from	IN
cord-354953-q1imoe7k	49	18	the	the	DT
cord-354953-q1imoe7k	49	19	behavior	behavior	NN
cord-354953-q1imoe7k	49	20	expressed	express	VBN
cord-354953-q1imoe7k	49	21	by	by	IN
cord-354953-q1imoe7k	49	22	the	the	DT
cord-354953-q1imoe7k	49	23	classic	classic	JJ
cord-354953-q1imoe7k	49	24	neighbor	neighbor	NN
cord-354953-q1imoe7k	49	25	patterns	pattern	NNS
cord-354953-q1imoe7k	49	26	.	.	.
cord-354953-q1imoe7k	50	1	On	on	IN
cord-354953-q1imoe7k	50	2	the	the	DT
cord-354953-q1imoe7k	50	3	other	other	JJ
cord-354953-q1imoe7k	50	4	hand	hand	NN
cord-354953-q1imoe7k	50	5	,	,	,
cord-354953-q1imoe7k	50	6	the	the	DT
cord-354953-q1imoe7k	50	7	real	real	JJ
cord-354953-q1imoe7k	50	8	background	background	NN
cord-354953-q1imoe7k	50	9	space	space	NN
cord-354953-q1imoe7k	50	10	where	where	WRB
cord-354953-q1imoe7k	50	11	diseases	disease	NNS
cord-354953-q1imoe7k	50	12	spread	spread	VBP
cord-354953-q1imoe7k	50	13	comprises	comprise	VBZ
cord-354953-q1imoe7k	50	14	irregular	irregular	JJ
cord-354953-q1imoe7k	50	15	geographical	geographical	JJ
cord-354953-q1imoe7k	50	16	regions	region	NNS
cord-354953-q1imoe7k	50	17	(	(	-LRB-
cord-354953-q1imoe7k	50	18	which	which	WDT
cord-354953-q1imoe7k	50	19	generally	generally	RB
cord-354953-q1imoe7k	50	20	have	have	VBP
cord-354953-q1imoe7k	50	21	different	different	JJ
cord-354953-q1imoe7k	50	22	sizes	size	NNS
cord-354953-q1imoe7k	50	23	and	and	CC
cord-354953-q1imoe7k	50	24	shapes	shape	NNS
cord-354953-q1imoe7k	50	25	)	)	-RRB-
cord-354953-q1imoe7k	50	26	,	,	,
cord-354953-q1imoe7k	50	27	so	so	CC
cord-354953-q1imoe7k	50	28	it	-PRON-	PRP
cord-354953-q1imoe7k	50	29	is	be	VBZ
cord-354953-q1imoe7k	50	30	also	also	RB
cord-354953-q1imoe7k	50	31	not	not	RB
cord-354953-q1imoe7k	50	32	suitable	suitable	JJ
cord-354953-q1imoe7k	50	33	to	to	TO
cord-354953-q1imoe7k	50	34	impersonate	impersonate	VB
cord-354953-q1imoe7k	50	35	physical	physical	JJ
cord-354953-q1imoe7k	50	36	geographical	geographical	JJ
cord-354953-q1imoe7k	50	37	regions	region	NNS
cord-354953-q1imoe7k	50	38	using	use	VBG
cord-354953-q1imoe7k	50	39	regular	regular	JJ
cord-354953-q1imoe7k	50	40	lattices	lattice	NNS
cord-354953-q1imoe7k	50	41	.	.	.
cord-354953-q1imoe7k	51	1	As	as	IN
cord-354953-q1imoe7k	51	2	mentioned	mention	VBN
cord-354953-q1imoe7k	51	3	above	above	RB
cord-354953-q1imoe7k	51	4	,	,	,
cord-354953-q1imoe7k	51	5	the	the	DT
cord-354953-q1imoe7k	51	6	classic	classic	JJ
cord-354953-q1imoe7k	51	7	CA	CA	NNP
cord-354953-q1imoe7k	51	8	model	model	NN
cord-354953-q1imoe7k	51	9	is	be	VBZ
cord-354953-q1imoe7k	51	10	too	too	RB
cord-354953-q1imoe7k	51	11	simple	simple	JJ
cord-354953-q1imoe7k	51	12	for	for	IN
cord-354953-q1imoe7k	51	13	modeling	model	VBG
cord-354953-q1imoe7k	51	14	the	the	DT
cord-354953-q1imoe7k	51	15	dynamics	dynamic	NNS
cord-354953-q1imoe7k	51	16	in	in	IN
cord-354953-q1imoe7k	51	17	a	a	DT
cord-354953-q1imoe7k	51	18	geographical	geographical	JJ
cord-354953-q1imoe7k	51	19	environment	environment	NN
cord-354953-q1imoe7k	51	20	.	.	.
cord-354953-q1imoe7k	52	1	It	-PRON-	PRP
cord-354953-q1imoe7k	52	2	has	have	VBZ
cord-354953-q1imoe7k	52	3	some	some	DT
cord-354953-q1imoe7k	52	4	limitations	limitation	NNS
cord-354953-q1imoe7k	52	5	with	with	IN
cord-354953-q1imoe7k	52	6	respect	respect	NN
cord-354953-q1imoe7k	52	7	to	to	IN
cord-354953-q1imoe7k	52	8	the	the	DT
cord-354953-q1imoe7k	52	9	cellular	cellular	JJ
cord-354953-q1imoe7k	52	10	shape	shape	NN
cord-354953-q1imoe7k	52	11	,	,	,
cord-354953-q1imoe7k	52	12	the	the	DT
cord-354953-q1imoe7k	52	13	neighbor	neighbor	NN
cord-354953-q1imoe7k	52	14	pattern	pattern	NN
cord-354953-q1imoe7k	52	15	,	,	,
cord-354953-q1imoe7k	52	16	and	and	CC
cord-354953-q1imoe7k	52	17	the	the	DT
cord-354953-q1imoe7k	52	18	transition	transition	NN
cord-354953-q1imoe7k	52	19	rule	rule	NN
cord-354953-q1imoe7k	52	20	,	,	,
cord-354953-q1imoe7k	52	21	which	which	WDT
cord-354953-q1imoe7k	52	22	constrains	constrain	VBZ
cord-354953-q1imoe7k	52	23	its	-PRON-	PRP$
cord-354953-q1imoe7k	52	24	ability	ability	NN
cord-354953-q1imoe7k	52	25	to	to	TO
cord-354953-q1imoe7k	52	26	simulate	simulate	VB
cord-354953-q1imoe7k	52	27	the	the	DT
cord-354953-q1imoe7k	52	28	real	real	JJ
cord-354953-q1imoe7k	52	29	world	world	NN
cord-354953-q1imoe7k	52	30	.	.	.
cord-354953-q1imoe7k	53	1	To	to	TO
cord-354953-q1imoe7k	53	2	overcome	overcome	VB
cord-354953-q1imoe7k	53	3	these	these	DT
cord-354953-q1imoe7k	53	4	drawbacks	drawback	NNS
cord-354953-q1imoe7k	53	5	,	,	,
cord-354953-q1imoe7k	53	6	some	some	DT
cord-354953-q1imoe7k	53	7	researchers	researcher	NNS
cord-354953-q1imoe7k	53	8	have	have	VBP
cord-354953-q1imoe7k	53	9	studied	study	VBN
cord-354953-q1imoe7k	53	10	the	the	DT
cord-354953-q1imoe7k	53	11	theories	theory	NNS
cord-354953-q1imoe7k	53	12	and	and	CC
cord-354953-q1imoe7k	53	13	applications	application	NNS
cord-354953-q1imoe7k	53	14	of	of	IN
cord-354953-q1imoe7k	53	15	geographical	geographical	JJ
cord-354953-q1imoe7k	53	16	CA	CA	NNP
cord-354953-q1imoe7k	53	17	[	[	-LRB-
cord-354953-q1imoe7k	53	18	11	11	CD
cord-354953-q1imoe7k	53	19	,	,	,
cord-354953-q1imoe7k	53	20	12	12	CD
cord-354953-q1imoe7k	53	21	]	]	-RRB-
cord-354953-q1imoe7k	53	22	.	.	.
cord-354953-q1imoe7k	54	1	In	in	IN
cord-354953-q1imoe7k	54	2	this	this	DT
cord-354953-q1imoe7k	54	3	paper	paper	NN
cord-354953-q1imoe7k	54	4	,	,	,
cord-354953-q1imoe7k	54	5	we	-PRON-	PRP
cord-354953-q1imoe7k	54	6	employ	employ	VBP
cord-354953-q1imoe7k	54	7	a	a	DT
cord-354953-q1imoe7k	54	8	geo	geo	NN
cord-354953-q1imoe7k	54	9	-	-	HYPH
cord-354953-q1imoe7k	54	10	entity	entity	NN
cord-354953-q1imoe7k	54	11	based	base	VBN
cord-354953-q1imoe7k	54	12	CA	CA	NNP
cord-354953-q1imoe7k	54	13	model	model	NN
cord-354953-q1imoe7k	54	14	[	[	-LRB-
cord-354953-q1imoe7k	54	15	13	13	CD
cord-354953-q1imoe7k	54	16	,	,	,
cord-354953-q1imoe7k	54	17	14	14	CD
cord-354953-q1imoe7k	54	18	]	]	-RRB-
cord-354953-q1imoe7k	54	19	,	,	,
cord-354953-q1imoe7k	54	20	which	which	WDT
cord-354953-q1imoe7k	54	21	defines	define	VBZ
cord-354953-q1imoe7k	54	22	physical	physical	JJ
cord-354953-q1imoe7k	54	23	geographical	geographical	JJ
cord-354953-q1imoe7k	54	24	regions	region	NNS
cord-354953-q1imoe7k	54	25	as	as	IN
cord-354953-q1imoe7k	54	26	cells	cell	NNS
cord-354953-q1imoe7k	54	27	.	.	.
cord-354953-q1imoe7k	55	1	In	in	IN
cord-354953-q1imoe7k	55	2	addition	addition	NN
cord-354953-q1imoe7k	55	3	to	to	IN
cord-354953-q1imoe7k	55	4	the	the	DT
cord-354953-q1imoe7k	55	5	consideration	consideration	NN
cord-354953-q1imoe7k	55	6	of	of	IN
cord-354953-q1imoe7k	55	7	the	the	DT
cord-354953-q1imoe7k	55	8	epidemiological	epidemiological	JJ
cord-354953-q1imoe7k	55	9	characteristics	characteristic	NNS
cord-354953-q1imoe7k	55	10	of	of	IN
cord-354953-q1imoe7k	55	11	infectious	infectious	JJ
cord-354953-q1imoe7k	55	12	diseases	disease	NNS
cord-354953-q1imoe7k	55	13	(	(	-LRB-
cord-354953-q1imoe7k	55	14	e.g.	e.g.	RB
cord-354953-q1imoe7k	55	15	,	,	,
cord-354953-q1imoe7k	55	16	effective	effective	JJ
cord-354953-q1imoe7k	55	17	contact	contact	NN
cord-354953-q1imoe7k	55	18	rate	rate	NN
cord-354953-q1imoe7k	55	19	,	,	,
cord-354953-q1imoe7k	55	20	recovery	recovery	NN
cord-354953-q1imoe7k	55	21	rate	rate	NN
cord-354953-q1imoe7k	55	22	,	,	,
cord-354953-q1imoe7k	55	23	and	and	CC
cord-354953-q1imoe7k	55	24	the	the	DT
cord-354953-q1imoe7k	55	25	varying	vary	VBG
cord-354953-q1imoe7k	55	26	infection	infection	NN
cord-354953-q1imoe7k	55	27	force	force	NN
cord-354953-q1imoe7k	55	28	)	)	-RRB-
cord-354953-q1imoe7k	55	29	,	,	,
cord-354953-q1imoe7k	55	30	we	-PRON-	PRP
cord-354953-q1imoe7k	55	31	pay	pay	VBP
cord-354953-q1imoe7k	55	32	more	more	JJR
cord-354953-q1imoe7k	55	33	attention	attention	NN
cord-354953-q1imoe7k	55	34	to	to	IN
cord-354953-q1imoe7k	55	35	the	the	DT
cord-354953-q1imoe7k	55	36	influence	influence	NN
cord-354953-q1imoe7k	55	37	of	of	IN
cord-354953-q1imoe7k	55	38	contagion	contagion	NN
cord-354953-q1imoe7k	55	39	patterns	pattern	NNS
cord-354953-q1imoe7k	55	40	on	on	IN
cord-354953-q1imoe7k	55	41	the	the	DT
cord-354953-q1imoe7k	55	42	spread	spread	NN
cord-354953-q1imoe7k	55	43	of	of	IN
cord-354953-q1imoe7k	55	44	infectious	infectious	JJ
cord-354953-q1imoe7k	55	45	diseases	disease	NNS
cord-354953-q1imoe7k	55	46	.	.	.
cord-354953-q1imoe7k	56	1	Two	two	CD
cord-354953-q1imoe7k	56	2	typical	typical	JJ
cord-354953-q1imoe7k	56	3	kinds	kind	NNS
cord-354953-q1imoe7k	56	4	of	of	IN
cord-354953-q1imoe7k	56	5	contagion	contagion	NN
cord-354953-q1imoe7k	56	6	patterns	pattern	NNS
cord-354953-q1imoe7k	56	7	are	be	VBP
cord-354953-q1imoe7k	56	8	explored	explore	VBN
cord-354953-q1imoe7k	56	9	.	.	.
cord-354953-q1imoe7k	57	1	One	one	CD
cord-354953-q1imoe7k	57	2	is	be	VBZ
cord-354953-q1imoe7k	57	3	the	the	DT
cord-354953-q1imoe7k	57	4	local	local	JJ
cord-354953-q1imoe7k	57	5	contagion	contagion	NN
cord-354953-q1imoe7k	57	6	good	good	JJ
cord-354953-q1imoe7k	57	7	for	for	IN
cord-354953-q1imoe7k	57	8	portraying	portray	VBG
cord-354953-q1imoe7k	57	9	local	local	JJ
cord-354953-q1imoe7k	57	10	diffusion	diffusion	NN
cord-354953-q1imoe7k	57	11	and	and	CC
cord-354953-q1imoe7k	57	12	the	the	DT
cord-354953-q1imoe7k	57	13	other	other	JJ
cord-354953-q1imoe7k	57	14	is	be	VBZ
cord-354953-q1imoe7k	57	15	the	the	DT
cord-354953-q1imoe7k	57	16	global	global	JJ
cord-354953-q1imoe7k	57	17	contagion	contagion	NN
cord-354953-q1imoe7k	57	18	,	,	,
cord-354953-q1imoe7k	57	19	which	which	WDT
cord-354953-q1imoe7k	57	20	is	be	VBZ
cord-354953-q1imoe7k	57	21	potentially	potentially	RB
cord-354953-q1imoe7k	57	22	likely	likely	JJ
cord-354953-q1imoe7k	57	23	to	to	TO
cord-354953-q1imoe7k	57	24	express	express	VB
cord-354953-q1imoe7k	57	25	the	the	DT
cord-354953-q1imoe7k	57	26	contact	contact	NN
cord-354953-q1imoe7k	57	27	behavior	behavior	NN
cord-354953-q1imoe7k	57	28	of	of	IN
cord-354953-q1imoe7k	57	29	infectious	infectious	JJ
cord-354953-q1imoe7k	57	30	diseases	disease	NNS
cord-354953-q1imoe7k	57	31	on	on	IN
cord-354953-q1imoe7k	57	32	complex	complex	JJ
cord-354953-q1imoe7k	57	33	networks	network	NNS
cord-354953-q1imoe7k	57	34	[	[	-LRB-
cord-354953-q1imoe7k	57	35	15	15	CD
cord-354953-q1imoe7k	57	36	]	]	-RRB-
cord-354953-q1imoe7k	57	37	[	[	-LRB-
cord-354953-q1imoe7k	57	38	16	16	CD
cord-354953-q1imoe7k	57	39	]	]	-RRB-
cord-354953-q1imoe7k	58	1	[	[	-LRB-
cord-354953-q1imoe7k	58	2	17	17	CD
cord-354953-q1imoe7k	58	3	]	]	-RRB-
cord-354953-q1imoe7k	58	4	[	[	-LRB-
cord-354953-q1imoe7k	58	5	18	18	CD
cord-354953-q1imoe7k	58	6	]	]	-RRB-
cord-354953-q1imoe7k	58	7	[	[	-LRB-
cord-354953-q1imoe7k	58	8	19	19	CD
cord-354953-q1imoe7k	58	9	]	]	-RRB-
cord-354953-q1imoe7k	58	10	[	[	-LRB-
cord-354953-q1imoe7k	58	11	20	20	CD
cord-354953-q1imoe7k	58	12	]	]	-RRB-
cord-354953-q1imoe7k	58	13	.	.	.
cord-354953-q1imoe7k	59	1	The	the	DT
cord-354953-q1imoe7k	59	2	cases	case	NNS
cord-354953-q1imoe7k	59	3	of	of	IN
cord-354953-q1imoe7k	59	4	simulation	simulation	NN
cord-354953-q1imoe7k	59	5	for	for	IN
cord-354953-q1imoe7k	59	6	the	the	DT
cord-354953-q1imoe7k	59	7	two	two	CD
cord-354953-q1imoe7k	59	8	situations	situation	NNS
cord-354953-q1imoe7k	59	9	are	be	VBP
cord-354953-q1imoe7k	59	10	also	also	RB
cord-354953-q1imoe7k	59	11	presented	present	VBN
cord-354953-q1imoe7k	59	12	and	and	CC
cord-354953-q1imoe7k	59	13	analyzed	analyze	VBN
cord-354953-q1imoe7k	59	14	.	.	.
cord-354953-q1imoe7k	60	1	It	-PRON-	PRP
cord-354953-q1imoe7k	60	2	has	have	VBZ
cord-354953-q1imoe7k	60	3	been	be	VBN
cord-354953-q1imoe7k	60	4	shown	show	VBN
cord-354953-q1imoe7k	60	5	that	that	IN
cord-354953-q1imoe7k	60	6	the	the	DT
cord-354953-q1imoe7k	60	7	results	result	NNS
cord-354953-q1imoe7k	60	8	are	be	VBP
cord-354953-q1imoe7k	60	9	reasonably	reasonably	RB
cord-354953-q1imoe7k	60	10	consistent	consistent	JJ
cord-354953-q1imoe7k	60	11	with	with	IN
cord-354953-q1imoe7k	60	12	the	the	DT
cord-354953-q1imoe7k	60	13	spread	spread	NN
cord-354953-q1imoe7k	60	14	of	of	IN
cord-354953-q1imoe7k	60	15	infectious	infectious	JJ
cord-354953-q1imoe7k	60	16	diseases	disease	NNS
cord-354953-q1imoe7k	60	17	in	in	IN
cord-354953-q1imoe7k	60	18	the	the	DT
cord-354953-q1imoe7k	60	19	real	real	JJ
cord-354953-q1imoe7k	60	20	world	world	NN
cord-354953-q1imoe7k	60	21	.	.	.
cord-354953-q1imoe7k	61	1	The	the	DT
cord-354953-q1imoe7k	61	2	model	model	NN
cord-354953-q1imoe7k	61	3	is	be	VBZ
cord-354953-q1imoe7k	61	4	supposed	suppose	VBN
cord-354953-q1imoe7k	61	5	to	to	TO
cord-354953-q1imoe7k	61	6	model	model	VB
cord-354953-q1imoe7k	61	7	dynamics	dynamic	NNS
cord-354953-q1imoe7k	61	8	of	of	IN
cord-354953-q1imoe7k	61	9	infectious	infectious	JJ
cord-354953-q1imoe7k	61	10	diseases	disease	NNS
cord-354953-q1imoe7k	61	11	in	in	IN
cord-354953-q1imoe7k	61	12	complex	complex	JJ
cord-354953-q1imoe7k	61	13	networks	network	NNS
cord-354953-q1imoe7k	61	14	,	,	,
cord-354953-q1imoe7k	61	15	which	which	WDT
cord-354953-q1imoe7k	61	16	is	be	VBZ
cord-354953-q1imoe7k	61	17	nearly	nearly	RB
cord-354953-q1imoe7k	61	18	impossible	impossible	JJ
cord-354953-q1imoe7k	61	19	to	to	TO
cord-354953-q1imoe7k	61	20	be	be	VB
cord-354953-q1imoe7k	61	21	achieved	achieve	VBN
cord-354953-q1imoe7k	61	22	with	with	IN
cord-354953-q1imoe7k	61	23	differential	differential	JJ
cord-354953-q1imoe7k	61	24	equations	equation	NNS
cord-354953-q1imoe7k	61	25	because	because	IN
cord-354953-q1imoe7k	61	26	of	of	IN
cord-354953-q1imoe7k	61	27	the	the	DT
cord-354953-q1imoe7k	61	28	complexity	complexity	NN
cord-354953-q1imoe7k	61	29	of	of	IN
cord-354953-q1imoe7k	61	30	the	the	DT
cord-354953-q1imoe7k	61	31	problem	problem	NN
cord-354953-q1imoe7k	61	32	.	.	.
cord-354953-q1imoe7k	62	1	The	the	DT
cord-354953-q1imoe7k	62	2	additional	additional	JJ
cord-354953-q1imoe7k	62	3	cases	case	NNS
cord-354953-q1imoe7k	62	4	of	of	IN
cord-354953-q1imoe7k	62	5	simulation	simulation	NN
cord-354953-q1imoe7k	62	6	also	also	RB
cord-354953-q1imoe7k	62	7	demonstrate	demonstrate	VBP
cord-354953-q1imoe7k	62	8	that	that	IN
cord-354953-q1imoe7k	62	9	efforts	effort	NNS
cord-354953-q1imoe7k	62	10	of	of	IN
cord-354953-q1imoe7k	62	11	all	all	DT
cord-354953-q1imoe7k	62	12	kinds	kind	NNS
cord-354953-q1imoe7k	62	13	of	of	IN
cord-354953-q1imoe7k	62	14	interventions	intervention	NNS
cord-354953-q1imoe7k	62	15	can	can	MD
cord-354953-q1imoe7k	62	16	be	be	VB
cord-354953-q1imoe7k	62	17	visualized	visualize	VBN
cord-354953-q1imoe7k	62	18	and	and	CC
cord-354953-q1imoe7k	62	19	examined	examine	VBN
cord-354953-q1imoe7k	62	20	,	,	,
cord-354953-q1imoe7k	62	21	and	and	CC
cord-354953-q1imoe7k	62	22	then	then	RB
cord-354953-q1imoe7k	62	23	the	the	DT
cord-354953-q1imoe7k	62	24	model	model	NN
cord-354953-q1imoe7k	62	25	is	be	VBZ
cord-354953-q1imoe7k	62	26	able	able	JJ
cord-354953-q1imoe7k	62	27	to	to	TO
cord-354953-q1imoe7k	62	28	provide	provide	VB
cord-354953-q1imoe7k	62	29	decision	decision	NN
cord-354953-q1imoe7k	62	30	-	-	HYPH
cord-354953-q1imoe7k	62	31	making	make	VBG
cord-354953-q1imoe7k	62	32	support	support	NN
cord-354953-q1imoe7k	62	33	for	for	IN
cord-354953-q1imoe7k	62	34	prevention	prevention	NN
cord-354953-q1imoe7k	62	35	and	and	CC
cord-354953-q1imoe7k	62	36	control	control	NN
cord-354953-q1imoe7k	62	37	of	of	IN
cord-354953-q1imoe7k	62	38	infectious	infectious	JJ
cord-354953-q1imoe7k	62	39	diseases	disease	NNS
cord-354953-q1imoe7k	62	40	.	.	.
cord-354953-q1imoe7k	63	1	The	the	DT
cord-354953-q1imoe7k	63	2	main	main	JJ
cord-354953-q1imoe7k	63	3	features	feature	NNS
cord-354953-q1imoe7k	63	4	of	of	IN
cord-354953-q1imoe7k	63	5	an	an	DT
cord-354953-q1imoe7k	63	6	infectious	infectious	JJ
cord-354953-q1imoe7k	63	7	disease	disease	NN
cord-354953-q1imoe7k	63	8	and	and	CC
cord-354953-q1imoe7k	63	9	the	the	DT
cord-354953-q1imoe7k	63	10	environment	environment	NN
cord-354953-q1imoe7k	63	11	where	where	WRB
cord-354953-q1imoe7k	63	12	it	-PRON-	PRP
cord-354953-q1imoe7k	63	13	is	be	VBZ
cord-354953-q1imoe7k	63	14	spreading	spread	VBG
cord-354953-q1imoe7k	63	15	are	be	VBP
cord-354953-q1imoe7k	63	16	as	as	IN
cord-354953-q1imoe7k	63	17	follows	follow	NNS
cord-354953-q1imoe7k	63	18	.	.	.
cord-354953-q1imoe7k	64	1	(	(	-LRB-
cord-354953-q1imoe7k	64	2	i	i	NN
cord-354953-q1imoe7k	64	3	)	)	-RRB-
cord-354953-q1imoe7k	64	4	S(t	S(t	NNPS
cord-354953-q1imoe7k	64	5	)	)	-RRB-
cord-354953-q1imoe7k	64	6	,	,	,
cord-354953-q1imoe7k	64	7	I(t	I(t	NNP
cord-354953-q1imoe7k	64	8	)	)	-RRB-
cord-354953-q1imoe7k	64	9	and	and	CC
cord-354953-q1imoe7k	64	10	R(t	R(t	NNP
cord-354953-q1imoe7k	64	11	)	)	-RRB-
cord-354953-q1imoe7k	65	1	denote	denote	VB
cord-354953-q1imoe7k	65	2	the	the	DT
cord-354953-q1imoe7k	65	3	proportions	proportion	NNS
cord-354953-q1imoe7k	65	4	of	of	IN
cord-354953-q1imoe7k	65	5	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	65	6	,	,	,
cord-354953-q1imoe7k	65	7	Infective	Infective	NNP
cord-354953-q1imoe7k	65	8	and	and	CC
cord-354953-q1imoe7k	65	9	Recovered	Recovered	NNP
cord-354953-q1imoe7k	65	10	.	.	.
cord-354953-q1imoe7k	66	1	The	the	DT
cord-354953-q1imoe7k	66	2	population	population	NN
cord-354953-q1imoe7k	66	3	within	within	IN
cord-354953-q1imoe7k	66	4	the	the	DT
cord-354953-q1imoe7k	66	5	study	study	NN
cord-354953-q1imoe7k	66	6	area	area	NN
cord-354953-q1imoe7k	66	7	is	be	VBZ
cord-354953-q1imoe7k	66	8	constant	constant	JJ
cord-354953-q1imoe7k	66	9	.	.	.
cord-354953-q1imoe7k	67	1	There	there	EX
cord-354953-q1imoe7k	67	2	are	be	VBP
cord-354953-q1imoe7k	67	3	no	no	DT
cord-354953-q1imoe7k	67	4	death	death	NN
cord-354953-q1imoe7k	67	5	and	and	CC
cord-354953-q1imoe7k	67	6	birth	birth	NN
cord-354953-q1imoe7k	67	7	during	during	IN
cord-354953-q1imoe7k	67	8	the	the	DT
cord-354953-q1imoe7k	67	9	epidemic	epidemic	NN
cord-354953-q1imoe7k	67	10	,	,	,
cord-354953-q1imoe7k	67	11	i.e.	i.e.	FW
cord-354953-q1imoe7k	67	12	,	,	,
cord-354953-q1imoe7k	67	13	S(t)+I(t)+R(t)=1	S(t)+I(t)+R(t)=1	NNP
cord-354953-q1imoe7k	67	14	.	.	.
cord-354953-q1imoe7k	68	1	(	(	-LRB-
cord-354953-q1imoe7k	68	2	ii	ii	NN
cord-354953-q1imoe7k	68	3	)	)	-RRB-
cord-354953-q1imoe7k	69	1	The	the	DT
cord-354953-q1imoe7k	69	2	effective	effective	JJ
cord-354953-q1imoe7k	69	3	contact	contact	NN
cord-354953-q1imoe7k	69	4	rate	rate	NN
cord-354953-q1imoe7k	69	5	is	be	VBZ
cord-354953-q1imoe7k	69	6	constant	constant	JJ
cord-354953-q1imoe7k	69	7	λ	λ	NN
cord-354953-q1imoe7k	69	8	,	,	,
cord-354953-q1imoe7k	69	9	i.e.	i.e.	FW
cord-354953-q1imoe7k	69	10	,	,	,
cord-354953-q1imoe7k	69	11	the	the	DT
cord-354953-q1imoe7k	69	12	average	average	JJ
cord-354953-q1imoe7k	69	13	number	number	NN
cord-354953-q1imoe7k	69	14	of	of	IN
cord-354953-q1imoe7k	69	15	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	69	16	infected	infect	VBN
cord-354953-q1imoe7k	69	17	by	by	IN
cord-354953-q1imoe7k	69	18	each	each	DT
cord-354953-q1imoe7k	69	19	infected	infect	VBN
cord-354953-q1imoe7k	69	20	individual	individual	NN
cord-354953-q1imoe7k	69	21	in	in	IN
cord-354953-q1imoe7k	69	22	a	a	DT
cord-354953-q1imoe7k	69	23	given	give	VBN
cord-354953-q1imoe7k	69	24	time	time	NN
cord-354953-q1imoe7k	69	25	(	(	-LRB-
cord-354953-q1imoe7k	69	26	e.g.	e.g.	RB
cord-354953-q1imoe7k	69	27	,	,	,
cord-354953-q1imoe7k	69	28	one	one	CD
cord-354953-q1imoe7k	69	29	day	day	NN
cord-354953-q1imoe7k	69	30	)	)	-RRB-
cord-354953-q1imoe7k	69	31	is	be	VBZ
cord-354953-q1imoe7k	69	32	constantly	constantly	RB
cord-354953-q1imoe7k	69	33	proportioned	proportion	VBN
cord-354953-q1imoe7k	69	34	to	to	IN
cord-354953-q1imoe7k	69	35	the	the	DT
cord-354953-q1imoe7k	69	36	number	number	NN
cord-354953-q1imoe7k	69	37	of	of	IN
cord-354953-q1imoe7k	69	38	the	the	DT
cord-354953-q1imoe7k	69	39	current	current	JJ
cord-354953-q1imoe7k	69	40	Susceptible	Susceptible	NNP
cord-354953-q1imoe7k	69	41	.	.	.
cord-354953-q1imoe7k	70	1	(	(	-LRB-
cord-354953-q1imoe7k	70	2	iii	iii	NN
cord-354953-q1imoe7k	70	3	)	)	-RRB-
cord-354953-q1imoe7k	71	1	The	the	DT
cord-354953-q1imoe7k	71	2	cured	cure	VBN
cord-354953-q1imoe7k	71	3	rate	rate	NN
cord-354953-q1imoe7k	71	4	is	be	VBZ
cord-354953-q1imoe7k	71	5	constant	constant	JJ
cord-354953-q1imoe7k	71	6	ν	ν	NNP
cord-354953-q1imoe7k	71	7	,	,	,
cord-354953-q1imoe7k	71	8	i.e.	i.e.	FW
cord-354953-q1imoe7k	71	9	,	,	,
cord-354953-q1imoe7k	71	10	the	the	DT
cord-354953-q1imoe7k	71	11	number	number	NN
cord-354953-q1imoe7k	71	12	of	of	IN
cord-354953-q1imoe7k	71	13	Infective	Infective	NNP
cord-354953-q1imoe7k	71	14	cured	cure	VBN
cord-354953-q1imoe7k	71	15	in	in	IN
cord-354953-q1imoe7k	71	16	a	a	DT
cord-354953-q1imoe7k	71	17	given	give	VBN
cord-354953-q1imoe7k	71	18	time	time	NN
cord-354953-q1imoe7k	71	19	is	be	VBZ
cord-354953-q1imoe7k	71	20	constantly	constantly	RB
cord-354953-q1imoe7k	71	21	proportioned	proportion	VBN
cord-354953-q1imoe7k	71	22	to	to	IN
cord-354953-q1imoe7k	71	23	the	the	DT
cord-354953-q1imoe7k	71	24	number	number	NN
cord-354953-q1imoe7k	71	25	of	of	IN
cord-354953-q1imoe7k	71	26	the	the	DT
cord-354953-q1imoe7k	71	27	current	current	JJ
cord-354953-q1imoe7k	71	28	Infective	Infective	NNP
cord-354953-q1imoe7k	71	29	.	.	.
cord-354953-q1imoe7k	72	1	The	the	DT
cord-354953-q1imoe7k	72	2	cured	cure	VBN
cord-354953-q1imoe7k	72	3	Infective	Infective	NNP
cord-354953-q1imoe7k	72	4	are	be	VBP
cord-354953-q1imoe7k	72	5	contemporarily	contemporarily	RB
cord-354953-q1imoe7k	72	6	immune	immune	JJ
cord-354953-q1imoe7k	72	7	to	to	IN
cord-354953-q1imoe7k	72	8	the	the	DT
cord-354953-q1imoe7k	72	9	disease	disease	NN
cord-354953-q1imoe7k	72	10	.	.	.
cord-354953-q1imoe7k	73	1	(	(	-LRB-
cord-354953-q1imoe7k	73	2	iv	iv	LS
cord-354953-q1imoe7k	73	3	)	)	-RRB-
cord-354953-q1imoe7k	73	4	The	the	DT
cord-354953-q1imoe7k	73	5	recovery	recovery	NN
cord-354953-q1imoe7k	73	6	rate	rate	NN
cord-354953-q1imoe7k	73	7	is	be	VBZ
cord-354953-q1imoe7k	73	8	constant	constant	JJ
cord-354953-q1imoe7k	73	9	γ	γ	NN
cord-354953-q1imoe7k	73	10	,	,	,
cord-354953-q1imoe7k	73	11	i.e.	i.e.	FW
cord-354953-q1imoe7k	73	12	,	,	,
cord-354953-q1imoe7k	73	13	the	the	DT
cord-354953-q1imoe7k	73	14	number	number	NN
cord-354953-q1imoe7k	73	15	of	of	IN
cord-354953-q1imoe7k	73	16	Recovered	recover	VBN
cord-354953-q1imoe7k	73	17	losing	lose	VBG
cord-354953-q1imoe7k	73	18	immunity	immunity	NN
cord-354953-q1imoe7k	73	19	in	in	IN
cord-354953-q1imoe7k	73	20	a	a	DT
cord-354953-q1imoe7k	73	21	given	give	VBN
cord-354953-q1imoe7k	73	22	time	time	NN
cord-354953-q1imoe7k	73	23	is	be	VBZ
cord-354953-q1imoe7k	73	24	constantly	constantly	RB
cord-354953-q1imoe7k	73	25	proportioned	proportion	VBN
cord-354953-q1imoe7k	73	26	to	to	IN
cord-354953-q1imoe7k	73	27	the	the	DT
cord-354953-q1imoe7k	73	28	number	number	NN
cord-354953-q1imoe7k	73	29	of	of	IN
cord-354953-q1imoe7k	73	30	the	the	DT
cord-354953-q1imoe7k	73	31	current	current	JJ
cord-354953-q1imoe7k	73	32	Recovered	recover	VBN
cord-354953-q1imoe7k	73	33	.	.	.
cord-354953-q1imoe7k	74	1	After	after	IN
cord-354953-q1imoe7k	74	2	losing	lose	VBG
cord-354953-q1imoe7k	74	3	immunity	immunity	NN
cord-354953-q1imoe7k	74	4	,	,	,
cord-354953-q1imoe7k	74	5	Recovered	recover	VBN
cord-354953-q1imoe7k	74	6	are	be	VBP
cord-354953-q1imoe7k	74	7	susceptible	susceptible	JJ
cord-354953-q1imoe7k	74	8	to	to	IN
cord-354953-q1imoe7k	74	9	the	the	DT
cord-354953-q1imoe7k	74	10	disease	disease	NN
cord-354953-q1imoe7k	74	11	again	again	RB
cord-354953-q1imoe7k	74	12	.	.	.
cord-354953-q1imoe7k	75	1	According	accord	VBG
cord-354953-q1imoe7k	75	2	to	to	IN
cord-354953-q1imoe7k	75	3	the	the	DT
cord-354953-q1imoe7k	75	4	above	above	JJ
cord-354953-q1imoe7k	75	5	assumptions	assumption	NNS
cord-354953-q1imoe7k	75	6	,	,	,
cord-354953-q1imoe7k	75	7	The	the	DT
cord-354953-q1imoe7k	75	8	SIRS	SIRS	NNP
cord-354953-q1imoe7k	75	9	model	model	NN
cord-354953-q1imoe7k	75	10	can	can	MD
cord-354953-q1imoe7k	75	11	be	be	VB
cord-354953-q1imoe7k	75	12	formulated	formulate	VBN
cord-354953-q1imoe7k	75	13	using	use	VBG
cord-354953-q1imoe7k	75	14	the	the	DT
cord-354953-q1imoe7k	75	15	following	follow	VBG
cord-354953-q1imoe7k	75	16	differential	differential	JJ
cord-354953-q1imoe7k	75	17	equations	equation	NNS
cord-354953-q1imoe7k	75	18	:	:	:
cord-354953-q1imoe7k	75	19	1	1	CD
cord-354953-q1imoe7k	75	20	.	.	.
cord-354953-q1imoe7k	75	21	Eq	Eq	NNP
cord-354953-q1imoe7k	75	22	.	.	.
cord-354953-q1imoe7k	76	1	(	(	-LRB-
cord-354953-q1imoe7k	76	2	1	1	LS
cord-354953-q1imoe7k	76	3	)	)	-RRB-
cord-354953-q1imoe7k	76	4	can	can	MD
cord-354953-q1imoe7k	76	5	be	be	VB
cord-354953-q1imoe7k	76	6	reduced	reduce	VBN
cord-354953-q1imoe7k	76	7	to	to	IN
cord-354953-q1imoe7k	76	8	the	the	DT
cord-354953-q1imoe7k	76	9	following	follow	VBG
cord-354953-q1imoe7k	76	10	ones	one	NNS
cord-354953-q1imoe7k	76	11	:	:	:
cord-354953-q1imoe7k	76	12	It	-PRON-	PRP
cord-354953-q1imoe7k	76	13	is	be	VBZ
cord-354953-q1imoe7k	76	14	difficult	difficult	JJ
cord-354953-q1imoe7k	76	15	to	to	TO
cord-354953-q1imoe7k	76	16	calculate	calculate	VB
cord-354953-q1imoe7k	76	17	the	the	DT
cord-354953-q1imoe7k	76	18	analytical	analytical	JJ
cord-354953-q1imoe7k	76	19	solution	solution	NN
cord-354953-q1imoe7k	76	20	of	of	IN
cord-354953-q1imoe7k	76	21	eq	eq	NNP
cord-354953-q1imoe7k	76	22	.	.	.
cord-354953-q1imoe7k	77	1	(	(	-LRB-
cord-354953-q1imoe7k	77	2	1	1	CD
cord-354953-q1imoe7k	77	3	)	)	-RRB-
cord-354953-q1imoe7k	77	4	.	.	.
cord-354953-q1imoe7k	78	1	A	a	DT
cord-354953-q1imoe7k	78	2	phase	phase	NN
cord-354953-q1imoe7k	78	3	plane	plane	NN
cord-354953-q1imoe7k	78	4	method	method	NN
cord-354953-q1imoe7k	78	5	is	be	VBZ
cord-354953-q1imoe7k	78	6	generally	generally	RB
cord-354953-q1imoe7k	78	7	employed	employ	VBN
cord-354953-q1imoe7k	78	8	to	to	TO
cord-354953-q1imoe7k	78	9	analyze	analyze	VB
cord-354953-q1imoe7k	78	10	some	some	DT
cord-354953-q1imoe7k	78	11	characteristics	characteristic	NNS
cord-354953-q1imoe7k	78	12	of	of	IN
cord-354953-q1imoe7k	78	13	the	the	DT
cord-354953-q1imoe7k	78	14	equations	equation	NNS
cord-354953-q1imoe7k	78	15	[	[	-LRB-
cord-354953-q1imoe7k	78	16	21	21	CD
cord-354953-q1imoe7k	78	17	]	]	-RRB-
cord-354953-q1imoe7k	78	18	.	.	.
cord-354953-q1imoe7k	79	1	Bidimensional	Bidimensional	NNP
cord-354953-q1imoe7k	79	2	CA	CA	NNP
cord-354953-q1imoe7k	79	3	are	be	VBP
cord-354953-q1imoe7k	79	4	discrete	discrete	JJ
cord-354953-q1imoe7k	79	5	dynamical	dynamical	JJ
cord-354953-q1imoe7k	79	6	systems	system	NNS
cord-354953-q1imoe7k	79	7	formed	form	VBN
cord-354953-q1imoe7k	79	8	by	by	IN
cord-354953-q1imoe7k	79	9	a	a	DT
cord-354953-q1imoe7k	79	10	finite	finite	JJ
cord-354953-q1imoe7k	79	11	number	number	NN
cord-354953-q1imoe7k	79	12	of	of	IN
cord-354953-q1imoe7k	79	13	row×col	row×col	CD
cord-354953-q1imoe7k	79	14	identical	identical	JJ
cord-354953-q1imoe7k	79	15	objects	object	NNS
cord-354953-q1imoe7k	79	16	called	call	VBN
cord-354953-q1imoe7k	79	17	cells	cell	NNS
cord-354953-q1imoe7k	79	18	,	,	,
cord-354953-q1imoe7k	79	19	which	which	WDT
cord-354953-q1imoe7k	79	20	are	be	VBP
cord-354953-q1imoe7k	79	21	arranged	arrange	VBN
cord-354953-q1imoe7k	79	22	uniformly	uniformly	RB
cord-354953-q1imoe7k	79	23	in	in	IN
cord-354953-q1imoe7k	79	24	a	a	DT
cord-354953-q1imoe7k	79	25	two	two	CD
cord-354953-q1imoe7k	79	26	dimensional	dimensional	JJ
cord-354953-q1imoe7k	79	27	cellular	cellular	JJ
cord-354953-q1imoe7k	79	28	space	space	NN
cord-354953-q1imoe7k	79	29	.	.	.
cord-354953-q1imoe7k	80	1	Each	each	DT
cord-354953-q1imoe7k	80	2	cell	cell	NN
cord-354953-q1imoe7k	80	3	is	be	VBZ
cord-354953-q1imoe7k	80	4	endowed	endow	VBN
cord-354953-q1imoe7k	80	5	with	with	IN
cord-354953-q1imoe7k	80	6	a	a	DT
cord-354953-q1imoe7k	80	7	state	state	NN
cord-354953-q1imoe7k	80	8	(	(	-LRB-
cord-354953-q1imoe7k	80	9	from	from	IN
cord-354953-q1imoe7k	80	10	a	a	DT
cord-354953-q1imoe7k	80	11	finite	finite	JJ
cord-354953-q1imoe7k	80	12	state	state	NN
cord-354953-q1imoe7k	80	13	set	set	NN
cord-354953-q1imoe7k	80	14	Q	Q	NNP
cord-354953-q1imoe7k	80	15	)	)	-RRB-
cord-354953-q1imoe7k	81	1	that	that	DT
cord-354953-q1imoe7k	81	2	changes	change	VBZ
cord-354953-q1imoe7k	81	3	at	at	IN
cord-354953-q1imoe7k	81	4	every	every	DT
cord-354953-q1imoe7k	81	5	step	step	NN
cord-354953-q1imoe7k	81	6	of	of	IN
cord-354953-q1imoe7k	81	7	time	time	NN
cord-354953-q1imoe7k	81	8	according	accord	VBG
cord-354953-q1imoe7k	81	9	to	to	IN
cord-354953-q1imoe7k	81	10	a	a	DT
cord-354953-q1imoe7k	81	11	local	local	JJ
cord-354953-q1imoe7k	81	12	transition	transition	NN
cord-354953-q1imoe7k	81	13	rule	rule	NN
cord-354953-q1imoe7k	81	14	.	.	.
cord-354953-q1imoe7k	82	1	The	the	DT
cord-354953-q1imoe7k	82	2	state	state	NN
cord-354953-q1imoe7k	82	3	of	of	IN
cord-354953-q1imoe7k	82	4	a	a	DT
cord-354953-q1imoe7k	82	5	cell	cell	NN
cord-354953-q1imoe7k	82	6	at	at	IN
cord-354953-q1imoe7k	82	7	the	the	DT
cord-354953-q1imoe7k	82	8	step	step	NN
cord-354953-q1imoe7k	82	9	of	of	IN
cord-354953-q1imoe7k	82	10	time	time	NN
cord-354953-q1imoe7k	82	11	t	t	NNP
cord-354953-q1imoe7k	82	12	depends	depend	VBZ
cord-354953-q1imoe7k	82	13	on	on	IN
cord-354953-q1imoe7k	82	14	the	the	DT
cord-354953-q1imoe7k	82	15	states	state	NNS
cord-354953-q1imoe7k	82	16	of	of	IN
cord-354953-q1imoe7k	82	17	the	the	DT
cord-354953-q1imoe7k	82	18	cell	cell	NN
cord-354953-q1imoe7k	82	19	and	and	CC
cord-354953-q1imoe7k	82	20	its	-PRON-	PRP$
cord-354953-q1imoe7k	82	21	neighbors	neighbor	NNS
cord-354953-q1imoe7k	82	22	.	.	.
cord-354953-q1imoe7k	83	1	Generally	generally	RB
cord-354953-q1imoe7k	83	2	,	,	,
cord-354953-q1imoe7k	83	3	CA	CA	NNP
cord-354953-q1imoe7k	83	4	can	can	MD
cord-354953-q1imoe7k	83	5	be	be	VB
cord-354953-q1imoe7k	83	6	defined	define	VBN
cord-354953-q1imoe7k	83	7	by	by	IN
cord-354953-q1imoe7k	83	8	a	a	DT
cord-354953-q1imoe7k	83	9	4-uplet	4-uplet	CD
cord-354953-q1imoe7k	83	10	(	(	-LRB-
cord-354953-q1imoe7k	83	11	C	C	NNP
cord-354953-q1imoe7k	83	12	,	,	,
cord-354953-q1imoe7k	83	13	Q	Q	NNP
cord-354953-q1imoe7k	83	14	,	,	,
cord-354953-q1imoe7k	83	15	V	v	NN
cord-354953-q1imoe7k	83	16	,	,	,
cord-354953-q1imoe7k	83	17	f	f	NNP
cord-354953-q1imoe7k	83	18	)	)	-RRB-
cord-354953-q1imoe7k	83	19	,	,	,
cord-354953-q1imoe7k	83	20	where	where	WRB
cord-354953-q1imoe7k	83	21	C={(i	C={(i	NNP
cord-354953-q1imoe7k	83	22	,	,	,
cord-354953-q1imoe7k	83	23	j	j	NNP
cord-354953-q1imoe7k	83	24	)	)	-RRB-
cord-354953-q1imoe7k	83	25	,	,	,
cord-354953-q1imoe7k	83	26	1≤i≤row	1≤i≤row	CD
cord-354953-q1imoe7k	83	27	,	,	,
cord-354953-q1imoe7k	83	28	1≤j≤	1≤j≤	CD
cord-354953-q1imoe7k	83	29	col	col	NNP
cord-354953-q1imoe7k	83	30	}	}	-RRB-
cord-354953-q1imoe7k	83	31	is	be	VBZ
cord-354953-q1imoe7k	83	32	the	the	DT
cord-354953-q1imoe7k	83	33	cellular	cellular	JJ
cord-354953-q1imoe7k	83	34	space	space	NN
cord-354953-q1imoe7k	83	35	;	;	:
cord-354953-q1imoe7k	83	36	Q	Q	NNP
cord-354953-q1imoe7k	83	37	is	be	VBZ
cord-354953-q1imoe7k	83	38	the	the	DT
cord-354953-q1imoe7k	83	39	finite	finite	JJ
cord-354953-q1imoe7k	83	40	state	state	NN
cord-354953-q1imoe7k	83	41	set	set	VBD
cord-354953-q1imoe7k	83	42	whose	whose	WP$
cord-354953-q1imoe7k	83	43	elements	element	NNS
cord-354953-q1imoe7k	83	44	are	be	VBP
cord-354953-q1imoe7k	83	45	the	the	DT
cord-354953-q1imoe7k	83	46	all	all	DT
cord-354953-q1imoe7k	83	47	possible	possible	JJ
cord-354953-q1imoe7k	83	48	states	state	NNS
cord-354953-q1imoe7k	83	49	of	of	IN
cord-354953-q1imoe7k	83	50	the	the	DT
cord-354953-q1imoe7k	83	51	cells	cell	NNS
cord-354953-q1imoe7k	83	52	;	;	:
cord-354953-q1imoe7k	83	53	V={(α	V={(α	NNP
cord-354953-q1imoe7k	83	54	k	k	NNP
cord-354953-q1imoe7k	83	55	,	,	,
cord-354953-q1imoe7k	83	56	β	β	NNP
cord-354953-q1imoe7k	83	57	k	k	NNP
cord-354953-q1imoe7k	83	58	)	)	-RRB-
cord-354953-q1imoe7k	83	59	,	,	,
cord-354953-q1imoe7k	83	60	1≤k≤n}⊂Z×Z	1≤k≤n}⊂Z×Z	NNP
cord-354953-q1imoe7k	83	61	,	,	,
cord-354953-q1imoe7k	83	62	is	be	VBZ
cord-354953-q1imoe7k	83	63	the	the	DT
cord-354953-q1imoe7k	83	64	finite	finite	JJ
cord-354953-q1imoe7k	83	65	set	set	NN
cord-354953-q1imoe7k	83	66	of	of	IN
cord-354953-q1imoe7k	83	67	indices	index	NNS
cord-354953-q1imoe7k	83	68	defining	define	VBG
cord-354953-q1imoe7k	83	69	the	the	DT
cord-354953-q1imoe7k	83	70	neighborhood	neighborhood	NN
cord-354953-q1imoe7k	83	71	of	of	IN
cord-354953-q1imoe7k	83	72	each	each	DT
cord-354953-q1imoe7k	83	73	cell	cell	NN
cord-354953-q1imoe7k	83	74	,	,	,
cord-354953-q1imoe7k	83	75	such	such	JJ
cord-354953-q1imoe7k	83	76	that	that	IN
cord-354953-q1imoe7k	83	77	the	the	DT
cord-354953-q1imoe7k	83	78	neighborhood	neighborhood	NN
cord-354953-q1imoe7k	83	79	of	of	IN
cord-354953-q1imoe7k	83	80	the	the	DT
cord-354953-q1imoe7k	83	81	cell	cell	NN
cord-354953-q1imoe7k	83	82	(	(	-LRB-
cord-354953-q1imoe7k	83	83	i	i	PRP
cord-354953-q1imoe7k	83	84	,	,	,
cord-354953-q1imoe7k	83	85	j	j	NNP
cord-354953-q1imoe7k	83	86	)	)	-RRB-
cord-354953-q1imoe7k	83	87	is	be	VBZ
cord-354953-q1imoe7k	83	88	V	V	NNP
cord-354953-q1imoe7k	83	89	ij	ij	NN
cord-354953-q1imoe7k	83	90	=	=	NN
cord-354953-q1imoe7k	83	91	{	{	-LRB-
cord-354953-q1imoe7k	83	92	(	(	-LRB-
cord-354953-q1imoe7k	83	93	i+α	i+α	PRP$
cord-354953-q1imoe7k	83	94	1	1	CD
cord-354953-q1imoe7k	83	95	,	,	,
cord-354953-q1imoe7k	83	96	j+β	j+β	CD
cord-354953-q1imoe7k	83	97	1	1	CD
cord-354953-q1imoe7k	83	98	)	)	-RRB-
cord-354953-q1imoe7k	83	99	,	,	,
cord-354953-q1imoe7k	83	100	(	(	-LRB-
cord-354953-q1imoe7k	83	101	i+α	i+α	CD
cord-354953-q1imoe7k	83	102	2	2	CD
cord-354953-q1imoe7k	83	103	,	,	,
cord-354953-q1imoe7k	83	104	j+β	j+β	CD
cord-354953-q1imoe7k	83	105	2	2	CD
cord-354953-q1imoe7k	83	106	)	)	-RRB-
cord-354953-q1imoe7k	83	107	,	,	,
cord-354953-q1imoe7k	83	108	…	…	NFP
cord-354953-q1imoe7k	83	109	,	,	,
cord-354953-q1imoe7k	83	110	(	(	-LRB-
cord-354953-q1imoe7k	83	111	i+α	i+α	UH
cord-354953-q1imoe7k	83	112	n	n	NN
cord-354953-q1imoe7k	83	113	,	,	,
cord-354953-q1imoe7k	83	114	j+β	j+β	NNP
cord-354953-q1imoe7k	83	115	n	n	NN
cord-354953-q1imoe7k	83	116	)	)	-RRB-
cord-354953-q1imoe7k	83	117	}	}	-RRB-
cord-354953-q1imoe7k	83	118	;	;	:
cord-354953-q1imoe7k	83	119	finally	finally	RB
cord-354953-q1imoe7k	83	120	,	,	,
cord-354953-q1imoe7k	83	121	the	the	DT
cord-354953-q1imoe7k	83	122	function	function	NN
cord-354953-q1imoe7k	83	123	f	f	NNP
cord-354953-q1imoe7k	83	124	is	be	VBZ
cord-354953-q1imoe7k	83	125	the	the	DT
cord-354953-q1imoe7k	83	126	local	local	JJ
cord-354953-q1imoe7k	83	127	transition	transition	NN
cord-354953-q1imoe7k	83	128	function	function	NN
cord-354953-q1imoe7k	83	129	:	:	:
cord-354953-q1imoe7k	83	130	where	where	WRB
cord-354953-q1imoe7k	83	131	t	t	NNP
cord-354953-q1imoe7k	83	132	ij	ij	NNP
cord-354953-q1imoe7k	83	133	s	s	NNP
cord-354953-q1imoe7k	83	134	stands	stand	VBZ
cord-354953-q1imoe7k	83	135	for	for	IN
cord-354953-q1imoe7k	83	136	the	the	DT
cord-354953-q1imoe7k	83	137	state	state	NN
cord-354953-q1imoe7k	83	138	of	of	IN
cord-354953-q1imoe7k	83	139	the	the	DT
cord-354953-q1imoe7k	83	140	cell	cell	NN
cord-354953-q1imoe7k	83	141	(	(	-LRB-
cord-354953-q1imoe7k	83	142	i	i	PRP
cord-354953-q1imoe7k	83	143	,	,	,
cord-354953-q1imoe7k	83	144	j	j	NNP
cord-354953-q1imoe7k	83	145	)	)	-RRB-
cord-354953-q1imoe7k	83	146	at	at	IN
cord-354953-q1imoe7k	83	147	the	the	DT
cord-354953-q1imoe7k	83	148	step	step	NN
cord-354953-q1imoe7k	83	149	of	of	IN
cord-354953-q1imoe7k	83	150	time	time	NN
cord-354953-q1imoe7k	84	1	t.	t.	NNP
cord-354953-q1imoe7k	85	1	We	-PRON-	PRP
cord-354953-q1imoe7k	85	2	consider	consider	VBP
cord-354953-q1imoe7k	85	3	a	a	DT
cord-354953-q1imoe7k	85	4	geographical	geographical	JJ
cord-354953-q1imoe7k	85	5	environment	environment	NN
cord-354953-q1imoe7k	85	6	composed	compose	VBN
cord-354953-q1imoe7k	85	7	of	of	IN
cord-354953-q1imoe7k	85	8	k	k	NNP
cord-354953-q1imoe7k	85	9	geographical	geographical	JJ
cord-354953-q1imoe7k	85	10	regions	region	NNS
cord-354953-q1imoe7k	85	11	.	.	.
cord-354953-q1imoe7k	86	1	These	these	DT
cord-354953-q1imoe7k	86	2	regions	region	NNS
cord-354953-q1imoe7k	86	3	can	can	MD
cord-354953-q1imoe7k	86	4	be	be	VB
cord-354953-q1imoe7k	86	5	any	any	DT
cord-354953-q1imoe7k	86	6	type	type	NN
cord-354953-q1imoe7k	86	7	of	of	IN
cord-354953-q1imoe7k	86	8	geo	geo	NN
cord-354953-q1imoe7k	86	9	-	-	HYPH
cord-354953-q1imoe7k	86	10	entity	entity	NN
cord-354953-q1imoe7k	86	11	,	,	,
cord-354953-q1imoe7k	86	12	such	such	JJ
cord-354953-q1imoe7k	86	13	as	as	IN
cord-354953-q1imoe7k	86	14	administrative	administrative	JJ
cord-354953-q1imoe7k	86	15	region	region	NN
cord-354953-q1imoe7k	86	16	,	,	,
cord-354953-q1imoe7k	86	17	community	community	NN
cord-354953-q1imoe7k	86	18	,	,	,
cord-354953-q1imoe7k	86	19	building	building	NN
cord-354953-q1imoe7k	86	20	.	.	.
cord-354953-q1imoe7k	87	1	Label	label	VB
cord-354953-q1imoe7k	87	2	these	these	DT
cord-354953-q1imoe7k	87	3	geo	geo	NN
cord-354953-q1imoe7k	87	4	-	-	HYPH
cord-354953-q1imoe7k	87	5	entities	entity	NNS
cord-354953-q1imoe7k	87	6	with	with	IN
cord-354953-q1imoe7k	87	7	1	1	CD
cord-354953-q1imoe7k	87	8	,	,	,
cord-354953-q1imoe7k	87	9	2	2	CD
cord-354953-q1imoe7k	87	10	,	,	,
cord-354953-q1imoe7k	87	11	3	3	CD
cord-354953-q1imoe7k	87	12	,	,	,
cord-354953-q1imoe7k	87	13	…	…	NFP
cord-354953-q1imoe7k	87	14	,	,	,
cord-354953-q1imoe7k	87	15	k	k	XX
cord-354953-q1imoe7k	87	16	in	in	IN
cord-354953-q1imoe7k	87	17	arbitrary	arbitrary	JJ
cord-354953-q1imoe7k	87	18	order	order	NN
cord-354953-q1imoe7k	87	19	.	.	.
cord-354953-q1imoe7k	88	1	First	first	RB
cord-354953-q1imoe7k	88	2	,	,	,
cord-354953-q1imoe7k	88	3	we	-PRON-	PRP
cord-354953-q1imoe7k	88	4	define	define	VBP
cord-354953-q1imoe7k	88	5	the	the	DT
cord-354953-q1imoe7k	88	6	following	follow	VBG
cord-354953-q1imoe7k	88	7	notations	notation	NNS
cord-354953-q1imoe7k	88	8	:	:	:
cord-354953-q1imoe7k	88	9	N	N	NNP
cord-354953-q1imoe7k	88	10	i	i	NNP
cord-354953-q1imoe7k	88	11	,	,	,
cord-354953-q1imoe7k	88	12	the	the	DT
cord-354953-q1imoe7k	88	13	total	total	JJ
cord-354953-q1imoe7k	88	14	amount	amount	NN
cord-354953-q1imoe7k	88	15	of	of	IN
cord-354953-q1imoe7k	88	16	the	the	DT
cord-354953-q1imoe7k	88	17	population	population	NN
cord-354953-q1imoe7k	88	18	in	in	IN
cord-354953-q1imoe7k	88	19	region	region	NN
cord-354953-q1imoe7k	89	1	i.	i.	NNP
cord-354953-q1imoe7k	89	2	A	a	NN
cord-354953-q1imoe7k	90	1	i	i	PRP
cord-354953-q1imoe7k	90	2	,	,	,
cord-354953-q1imoe7k	90	3	the	the	DT
cord-354953-q1imoe7k	90	4	area	area	NN
cord-354953-q1imoe7k	90	5	of	of	IN
cord-354953-q1imoe7k	90	6	region	region	NN
cord-354953-q1imoe7k	90	7	i	i	PRP
cord-354953-q1imoe7k	90	8	;	;	:
cord-354953-q1imoe7k	91	1	S	S	NNP
cord-354953-q1imoe7k	91	2	i	i	CD
cord-354953-q1imoe7k	92	1	Now	now	RB
cord-354953-q1imoe7k	92	2	,	,	,
cord-354953-q1imoe7k	92	3	we	-PRON-	PRP
cord-354953-q1imoe7k	92	4	consider	consider	VBP
cord-354953-q1imoe7k	92	5	the	the	DT
cord-354953-q1imoe7k	92	6	geographical	geographical	JJ
cord-354953-q1imoe7k	92	7	area	area	NN
cord-354953-q1imoe7k	92	8	under	under	IN
cord-354953-q1imoe7k	92	9	study	study	NN
cord-354953-q1imoe7k	92	10	as	as	IN
cord-354953-q1imoe7k	92	11	the	the	DT
cord-354953-q1imoe7k	92	12	cellular	cellular	JJ
cord-354953-q1imoe7k	92	13	space	space	NN
cord-354953-q1imoe7k	92	14	,	,	,
cord-354953-q1imoe7k	92	15	and	and	CC
cord-354953-q1imoe7k	92	16	look	look	VB
cord-354953-q1imoe7k	92	17	on	on	IN
cord-354953-q1imoe7k	92	18	a	a	DT
cord-354953-q1imoe7k	92	19	geo	geo	NN
cord-354953-q1imoe7k	92	20	-	-	HYPH
cord-354953-q1imoe7k	92	21	entity	entity	NN
cord-354953-q1imoe7k	92	22	(	(	-LRB-
cord-354953-q1imoe7k	92	23	e.g.	e.g.	RB
cord-354953-q1imoe7k	92	24	,	,	,
cord-354953-q1imoe7k	92	25	jurisdiction	jurisdiction	NN
cord-354953-q1imoe7k	92	26	,	,	,
cord-354953-q1imoe7k	92	27	community	community	NN
cord-354953-q1imoe7k	92	28	,	,	,
cord-354953-q1imoe7k	92	29	residence	residence	NN
cord-354953-q1imoe7k	92	30	)	)	-RRB-
cord-354953-q1imoe7k	92	31	in	in	IN
cord-354953-q1imoe7k	92	32	the	the	DT
cord-354953-q1imoe7k	92	33	area	area	NN
cord-354953-q1imoe7k	92	34	as	as	IN
cord-354953-q1imoe7k	92	35	a	a	DT
cord-354953-q1imoe7k	92	36	cell	cell	NN
cord-354953-q1imoe7k	92	37	.	.	.
cord-354953-q1imoe7k	93	1	Use	use	VB
cord-354953-q1imoe7k	93	2	a	a	DT
cord-354953-q1imoe7k	93	3	set	set	NN
cord-354953-q1imoe7k	93	4	M={m	M={m	NNP
cord-354953-q1imoe7k	94	1	i	i	PRP
cord-354953-q1imoe7k	94	2	,	,	,
cord-354953-q1imoe7k	94	3	i=1	i=1	NNPS
cord-354953-q1imoe7k	94	4	,	,	,
cord-354953-q1imoe7k	94	5	2	2	CD
cord-354953-q1imoe7k	94	6	,	,	,
cord-354953-q1imoe7k	94	7	…	…	NFP
cord-354953-q1imoe7k	94	8	,	,	,
cord-354953-q1imoe7k	94	9	k	k	NNP
cord-354953-q1imoe7k	94	10	}	}	-RRB-
cord-354953-q1imoe7k	94	11	to	to	TO
cord-354953-q1imoe7k	94	12	denote	denote	VB
cord-354953-q1imoe7k	94	13	the	the	DT
cord-354953-q1imoe7k	94	14	cellular	cellular	JJ
cord-354953-q1imoe7k	94	15	space	space	NN
cord-354953-q1imoe7k	94	16	.	.	.
cord-354953-q1imoe7k	95	1	Each	each	DT
cord-354953-q1imoe7k	95	2	cell	cell	NN
cord-354953-q1imoe7k	95	3	m	m	NN
cord-354953-q1imoe7k	95	4	i	i	PRP
cord-354953-q1imoe7k	95	5	comprises	comprise	VBZ
cord-354953-q1imoe7k	95	6	three	three	CD
cord-354953-q1imoe7k	95	7	classes	class	NNS
cord-354953-q1imoe7k	95	8	of	of	IN
cord-354953-q1imoe7k	95	9	individuals	individual	NNS
cord-354953-q1imoe7k	95	10	,	,	,
cord-354953-q1imoe7k	95	11	i.e.	i.e.	FW
cord-354953-q1imoe7k	95	12	,	,	,
cord-354953-q1imoe7k	95	13	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	95	14	,	,	,
cord-354953-q1imoe7k	95	15	Infective	Infective	NNP
cord-354953-q1imoe7k	95	16	and	and	CC
cord-354953-q1imoe7k	95	17	Recovered	Recovered	NNP
cord-354953-q1imoe7k	95	18	.	.	.
cord-354953-q1imoe7k	96	1	Every	every	DT
cord-354953-q1imoe7k	96	2	cell	cell	NN
cord-354953-q1imoe7k	96	3	is	be	VBZ
cord-354953-q1imoe7k	96	4	further	further	RB
cord-354953-q1imoe7k	96	5	divided	divide	VBN
cord-354953-q1imoe7k	96	6	into	into	IN
cord-354953-q1imoe7k	96	7	subclasses	subclass	NNS
cord-354953-q1imoe7k	96	8	by	by	IN
cord-354953-q1imoe7k	96	9	the	the	DT
cord-354953-q1imoe7k	96	10	states	state	NNS
cord-354953-q1imoe7k	96	11	of	of	IN
cord-354953-q1imoe7k	96	12	individuals	individual	NNS
cord-354953-q1imoe7k	96	13	.	.	.
cord-354953-q1imoe7k	97	1	The	the	DT
cord-354953-q1imoe7k	97	2	state	state	NN
cord-354953-q1imoe7k	97	3	of	of	IN
cord-354953-q1imoe7k	97	4	every	every	DT
cord-354953-q1imoe7k	97	5	subclass	subclass	NN
cord-354953-q1imoe7k	97	6	will	will	MD
cord-354953-q1imoe7k	97	7	dynamically	dynamically	RB
cord-354953-q1imoe7k	97	8	change	change	VB
cord-354953-q1imoe7k	97	9	with	with	IN
cord-354953-q1imoe7k	97	10	time	time	NN
cord-354953-q1imoe7k	97	11	.	.	.
cord-354953-q1imoe7k	98	1	Here	here	RB
cord-354953-q1imoe7k	98	2	we	-PRON-	PRP
cord-354953-q1imoe7k	98	3	assume	assume	VBP
cord-354953-q1imoe7k	98	4	,	,	,
cord-354953-q1imoe7k	98	5	for	for	IN
cord-354953-q1imoe7k	98	6	a	a	DT
cord-354953-q1imoe7k	98	7	certain	certain	JJ
cord-354953-q1imoe7k	98	8	disease	disease	NN
cord-354953-q1imoe7k	98	9	,	,	,
cord-354953-q1imoe7k	98	10	its	-PRON-	PRP$
cord-354953-q1imoe7k	98	11	phases	phase	NNS
cord-354953-q1imoe7k	98	12	'	'	POS
cord-354953-q1imoe7k	98	13	average	average	JJ
cord-354953-q1imoe7k	98	14	times	time	NNS
cord-354953-q1imoe7k	98	15	are	be	VBP
cord-354953-q1imoe7k	98	16	fixed	fix	VBN
cord-354953-q1imoe7k	98	17	.	.	.
cord-354953-q1imoe7k	99	1	T	T	NNP
cord-354953-q1imoe7k	99	2	i	i	NNP
cord-354953-q1imoe7k	99	3	,	,	,
cord-354953-q1imoe7k	99	4	T	T	NNP
cord-354953-q1imoe7k	99	5	p	p	NN
cord-354953-q1imoe7k	99	6	,	,	,
cord-354953-q1imoe7k	99	7	T	T	NNP
cord-354953-q1imoe7k	99	8	l	l	NN
cord-354953-q1imoe7k	99	9	,	,	,
cord-354953-q1imoe7k	99	10	and	and	CC
cord-354953-q1imoe7k	99	11	T	T	NNP
cord-354953-q1imoe7k	99	12	r	r	NN
cord-354953-q1imoe7k	99	13	denote	denote	VBP
cord-354953-q1imoe7k	99	14	the	the	DT
cord-354953-q1imoe7k	99	15	average	average	JJ
cord-354953-q1imoe7k	99	16	times	time	NNS
cord-354953-q1imoe7k	99	17	of	of	IN
cord-354953-q1imoe7k	99	18	the	the	DT
cord-354953-q1imoe7k	99	19	incubation	incubation	NN
cord-354953-q1imoe7k	99	20	,	,	,
cord-354953-q1imoe7k	99	21	proper	proper	JJ
cord-354953-q1imoe7k	99	22	infection	infection	NN
cord-354953-q1imoe7k	99	23	,	,	,
cord-354953-q1imoe7k	99	24	latency	latency	NN
cord-354953-q1imoe7k	99	25	,	,	,
cord-354953-q1imoe7k	99	26	and	and	CC
cord-354953-q1imoe7k	99	27	immunity	immunity	NN
cord-354953-q1imoe7k	99	28	respectively	respectively	RB
cord-354953-q1imoe7k	99	29	(	(	-LRB-
cord-354953-q1imoe7k	99	30	unit	unit	NN
cord-354953-q1imoe7k	99	31	:	:	:
cord-354953-q1imoe7k	99	32	day	day	NN
cord-354953-q1imoe7k	99	33	)	)	-RRB-
cord-354953-q1imoe7k	99	34	.	.	.
cord-354953-q1imoe7k	100	1	Thus	thus	RB
cord-354953-q1imoe7k	100	2	,	,	,
cord-354953-q1imoe7k	100	3	we	-PRON-	PRP
cord-354953-q1imoe7k	100	4	define	define	VBP
cord-354953-q1imoe7k	100	5	the	the	DT
cord-354953-q1imoe7k	100	6	state	state	NN
cord-354953-q1imoe7k	100	7	set	set	NN
cord-354953-q1imoe7k	100	8	which	which	WDT
cord-354953-q1imoe7k	100	9	each	each	DT
cord-354953-q1imoe7k	100	10	subclass	subclass	NN
cord-354953-q1imoe7k	100	11	may	may	MD
cord-354953-q1imoe7k	100	12	go	go	VB
cord-354953-q1imoe7k	100	13	through	through	RB
cord-354953-q1imoe7k	100	14	as	as	IN
cord-354953-q1imoe7k	100	15	P={0	p={0	NN
cord-354953-q1imoe7k	100	16	,	,	,
cord-354953-q1imoe7k	100	17	1	1	CD
cord-354953-q1imoe7k	100	18	,	,	,
cord-354953-q1imoe7k	100	19	2	2	CD
cord-354953-q1imoe7k	100	20	,	,	,
cord-354953-q1imoe7k	100	21	…	…	NFP
cord-354953-q1imoe7k	100	22	,	,	,
cord-354953-q1imoe7k	100	23	T	T	NNP
cord-354953-q1imoe7k	100	24	i	i	NN
cord-354953-q1imoe7k	100	25	+	+	CC
cord-354953-q1imoe7k	100	26	T	t	NN
cord-354953-q1imoe7k	100	27	p	p	NN
cord-354953-q1imoe7k	100	28	+	+	CC
cord-354953-q1imoe7k	100	29	T	t	NN
cord-354953-q1imoe7k	100	30	l	l	NN
cord-354953-q1imoe7k	100	31	+	+	CC
cord-354953-q1imoe7k	100	32	T	t	NN
cord-354953-q1imoe7k	100	33	r	r	NN
cord-354953-q1imoe7k	100	34	}	}	-RRB-
cord-354953-q1imoe7k	100	35	.	.	.
cord-354953-q1imoe7k	101	1	The	the	DT
cord-354953-q1imoe7k	101	2	subclass	subclass	NN
cord-354953-q1imoe7k	101	3	with	with	IN
cord-354953-q1imoe7k	101	4	state	state	NN
cord-354953-q1imoe7k	101	5	0	0	CD
cord-354953-q1imoe7k	101	6	consists	consist	VBZ
cord-354953-q1imoe7k	101	7	of	of	IN
cord-354953-q1imoe7k	101	8	the	the	DT
cord-354953-q1imoe7k	101	9	individuals	individual	NNS
cord-354953-q1imoe7k	101	10	susceptible	susceptible	JJ
cord-354953-q1imoe7k	101	11	to	to	IN
cord-354953-q1imoe7k	101	12	the	the	DT
cord-354953-q1imoe7k	101	13	disease	disease	NN
cord-354953-q1imoe7k	101	14	.	.	.
cord-354953-q1imoe7k	102	1	The	the	DT
cord-354953-q1imoe7k	102	2	subclass	subclass	NN
cord-354953-q1imoe7k	102	3	with	with	IN
cord-354953-q1imoe7k	102	4	state	state	NN
cord-354953-q1imoe7k	102	5	1	1	CD
cord-354953-q1imoe7k	102	6	consists	consist	NNS
cord-354953-q1imoe7k	102	7	of	of	IN
cord-354953-q1imoe7k	102	8	the	the	DT
cord-354953-q1imoe7k	102	9	individuals	individual	NNS
cord-354953-q1imoe7k	102	10	on	on	IN
cord-354953-q1imoe7k	102	11	the	the	DT
cord-354953-q1imoe7k	102	12	first	first	JJ
cord-354953-q1imoe7k	102	13	day	day	NN
cord-354953-q1imoe7k	102	14	of	of	IN
cord-354953-q1imoe7k	102	15	incubation	incubation	NN
cord-354953-q1imoe7k	102	16	,	,	,
cord-354953-q1imoe7k	102	17	state	state	NN
cord-354953-q1imoe7k	102	18	T	t	NN
cord-354953-q1imoe7k	102	19	i	i	NN
cord-354953-q1imoe7k	102	20	+1	+1	VBP
cord-354953-q1imoe7k	102	21	on	on	IN
cord-354953-q1imoe7k	102	22	the	the	DT
cord-354953-q1imoe7k	102	23	first	first	JJ
cord-354953-q1imoe7k	102	24	day	day	NN
cord-354953-q1imoe7k	102	25	of	of	IN
cord-354953-q1imoe7k	102	26	proper	proper	JJ
cord-354953-q1imoe7k	102	27	infection	infection	NN
cord-354953-q1imoe7k	102	28	,	,	,
cord-354953-q1imoe7k	102	29	…	…	NFP
cord-354953-q1imoe7k	102	30	,	,	,
cord-354953-q1imoe7k	102	31	and	and	CC
cord-354953-q1imoe7k	103	1	state	state	NNP
cord-354953-q1imoe7k	103	2	T	T	NNP
cord-354953-q1imoe7k	103	3	i	i	NNP
cord-354953-q1imoe7k	103	4	+	+	CC
cord-354953-q1imoe7k	103	5	T	t	NN
cord-354953-q1imoe7k	103	6	p	p	NN
cord-354953-q1imoe7k	104	1	+	+	CC
cord-354953-q1imoe7k	105	1	T	T	NNP
cord-354953-q1imoe7k	105	2	l	l	NN
cord-354953-q1imoe7k	105	3	+1	+1	NNP
cord-354953-q1imoe7k	105	4	on	on	IN
cord-354953-q1imoe7k	105	5	the	the	DT
cord-354953-q1imoe7k	105	6	first	first	JJ
cord-354953-q1imoe7k	105	7	day	day	NN
cord-354953-q1imoe7k	105	8	of	of	IN
cord-354953-q1imoe7k	105	9	immune	immune	NN
cord-354953-q1imoe7k	105	10	.	.	.
cord-354953-q1imoe7k	106	1	When	when	WRB
cord-354953-q1imoe7k	106	2	the	the	DT
cord-354953-q1imoe7k	106	3	state	state	NN
cord-354953-q1imoe7k	106	4	of	of	IN
cord-354953-q1imoe7k	106	5	a	a	DT
cord-354953-q1imoe7k	106	6	subclass	subclass	NN
cord-354953-q1imoe7k	106	7	is	be	VBZ
cord-354953-q1imoe7k	107	1	T	T	NNP
cord-354953-q1imoe7k	107	2	i	i	NNP
cord-354953-q1imoe7k	107	3	+	+	CC
cord-354953-q1imoe7k	107	4	T	t	NN
cord-354953-q1imoe7k	107	5	p	p	NN
cord-354953-q1imoe7k	107	6	+	+	CC
cord-354953-q1imoe7k	107	7	T	t	NN
cord-354953-q1imoe7k	107	8	l	l	NN
cord-354953-q1imoe7k	107	9	+	+	CC
cord-354953-q1imoe7k	107	10	T	t	NN
cord-354953-q1imoe7k	107	11	r	r	NN
cord-354953-q1imoe7k	107	12	,	,	,
cord-354953-q1imoe7k	107	13	which	which	WDT
cord-354953-q1imoe7k	107	14	means	mean	VBZ
cord-354953-q1imoe7k	107	15	that	that	IN
cord-354953-q1imoe7k	107	16	the	the	DT
cord-354953-q1imoe7k	107	17	individuals	individual	NNS
cord-354953-q1imoe7k	107	18	with	with	IN
cord-354953-q1imoe7k	107	19	the	the	DT
cord-354953-q1imoe7k	107	20	state	state	NN
cord-354953-q1imoe7k	107	21	are	be	VBP
cord-354953-q1imoe7k	107	22	on	on	IN
cord-354953-q1imoe7k	107	23	the	the	DT
cord-354953-q1imoe7k	107	24	last	last	JJ
cord-354953-q1imoe7k	107	25	day	day	NN
cord-354953-q1imoe7k	107	26	of	of	IN
cord-354953-q1imoe7k	107	27	the	the	DT
cord-354953-q1imoe7k	107	28	immune	immune	JJ
cord-354953-q1imoe7k	107	29	phase	phase	NN
cord-354953-q1imoe7k	107	30	,	,	,
cord-354953-q1imoe7k	107	31	the	the	DT
cord-354953-q1imoe7k	107	32	state	state	NN
cord-354953-q1imoe7k	107	33	of	of	IN
cord-354953-q1imoe7k	107	34	the	the	DT
cord-354953-q1imoe7k	107	35	subclass	subclass	NN
cord-354953-q1imoe7k	107	36	should	should	MD
cord-354953-q1imoe7k	107	37	be	be	VB
cord-354953-q1imoe7k	107	38	changed	change	VBN
cord-354953-q1imoe7k	107	39	to	to	IN
cord-354953-q1imoe7k	107	40	0	0	CD
cord-354953-q1imoe7k	107	41	at	at	IN
cord-354953-q1imoe7k	107	42	the	the	DT
cord-354953-q1imoe7k	107	43	next	next	JJ
cord-354953-q1imoe7k	107	44	step	step	NN
cord-354953-q1imoe7k	107	45	of	of	IN
cord-354953-q1imoe7k	107	46	time	time	NN
cord-354953-q1imoe7k	107	47	.	.	.
cord-354953-q1imoe7k	108	1	Every	every	DT
cord-354953-q1imoe7k	108	2	subclass	subclass	NN
cord-354953-q1imoe7k	108	3	will	will	MD
cord-354953-q1imoe7k	108	4	go	go	VB
cord-354953-q1imoe7k	108	5	through	through	IN
cord-354953-q1imoe7k	108	6	each	each	DT
cord-354953-q1imoe7k	108	7	state	state	NN
cord-354953-q1imoe7k	108	8	in	in	IN
cord-354953-q1imoe7k	108	9	the	the	DT
cord-354953-q1imoe7k	108	10	state	state	NN
cord-354953-q1imoe7k	108	11	set	set	VBD
cord-354953-q1imoe7k	108	12	orderly	orderly	RB
cord-354953-q1imoe7k	108	13	except	except	IN
cord-354953-q1imoe7k	108	14	that	that	IN
cord-354953-q1imoe7k	108	15	they	-PRON-	PRP
cord-354953-q1imoe7k	108	16	are	be	VBP
cord-354953-q1imoe7k	108	17	cured	cure	VBN
cord-354953-q1imoe7k	108	18	during	during	IN
cord-354953-q1imoe7k	108	19	the	the	DT
cord-354953-q1imoe7k	108	20	infection	infection	NN
cord-354953-q1imoe7k	108	21	period	period	NN
cord-354953-q1imoe7k	108	22	.	.	.
cord-354953-q1imoe7k	109	1	If	if	IN
cord-354953-q1imoe7k	109	2	the	the	DT
cord-354953-q1imoe7k	109	3	subclass	subclass	NN
cord-354953-q1imoe7k	109	4	is	be	VBZ
cord-354953-q1imoe7k	109	5	cured	cure	VBN
cord-354953-q1imoe7k	109	6	during	during	IN
cord-354953-q1imoe7k	109	7	the	the	DT
cord-354953-q1imoe7k	109	8	infection	infection	NN
cord-354953-q1imoe7k	109	9	period	period	NN
cord-354953-q1imoe7k	109	10	,	,	,
cord-354953-q1imoe7k	109	11	it	-PRON-	PRP
cord-354953-q1imoe7k	109	12	will	will	MD
cord-354953-q1imoe7k	109	13	directly	directly	RB
cord-354953-q1imoe7k	109	14	enter	enter	VB
cord-354953-q1imoe7k	109	15	into	into	IN
cord-354953-q1imoe7k	109	16	the	the	DT
cord-354953-q1imoe7k	109	17	first	first	JJ
cord-354953-q1imoe7k	109	18	day	day	NN
cord-354953-q1imoe7k	109	19	of	of	IN
cord-354953-q1imoe7k	109	20	the	the	DT
cord-354953-q1imoe7k	109	21	immune	immune	JJ
cord-354953-q1imoe7k	109	22	phase	phase	NN
cord-354953-q1imoe7k	109	23	,	,	,
cord-354953-q1imoe7k	109	24	i.e.	i.e.	FW
cord-354953-q1imoe7k	109	25	its	-PRON-	PRP$
cord-354953-q1imoe7k	109	26	state	state	NN
cord-354953-q1imoe7k	109	27	should	should	MD
cord-354953-q1imoe7k	109	28	be	be	VB
cord-354953-q1imoe7k	109	29	changed	change	VBN
cord-354953-q1imoe7k	109	30	to	to	IN
cord-354953-q1imoe7k	109	31	T	T	NNP
cord-354953-q1imoe7k	109	32	i	i	NNP
cord-354953-q1imoe7k	109	33	+	+	CC
cord-354953-q1imoe7k	109	34	T	t	NN
cord-354953-q1imoe7k	109	35	p	p	NN
cord-354953-q1imoe7k	109	36	+	+	CC
cord-354953-q1imoe7k	109	37	T	t	NN
cord-354953-q1imoe7k	109	38	l	l	NN
cord-354953-q1imoe7k	109	39	+1	+1	XX
cord-354953-q1imoe7k	109	40	.	.	.
cord-354953-q1imoe7k	110	1	Figure	figure	NN
cord-354953-q1imoe7k	110	2	1	1	CD
cord-354953-q1imoe7k	110	3	illustrates	illustrate	VBZ
cord-354953-q1imoe7k	110	4	the	the	DT
cord-354953-q1imoe7k	110	5	process	process	NN
cord-354953-q1imoe7k	110	6	each	each	DT
cord-354953-q1imoe7k	110	7	subclass	subclass	NN
cord-354953-q1imoe7k	110	8	may	may	MD
cord-354953-q1imoe7k	110	9	go	go	VB
cord-354953-q1imoe7k	110	10	through	through	RB
cord-354953-q1imoe7k	110	11	.	.	.
cord-354953-q1imoe7k	111	1	In	in	IN
cord-354953-q1imoe7k	111	2	order	order	NN
cord-354953-q1imoe7k	111	3	to	to	TO
cord-354953-q1imoe7k	111	4	describe	describe	VB
cord-354953-q1imoe7k	111	5	the	the	DT
cord-354953-q1imoe7k	111	6	transition	transition	NN
cord-354953-q1imoe7k	111	7	rules	rule	NNS
cord-354953-q1imoe7k	111	8	of	of	IN
cord-354953-q1imoe7k	111	9	our	-PRON-	PRP$
cord-354953-q1imoe7k	111	10	CA	CA	NNP
cord-354953-q1imoe7k	111	11	,	,	,
cord-354953-q1imoe7k	111	12	we	-PRON-	PRP
cord-354953-q1imoe7k	111	13	further	further	RB
cord-354953-q1imoe7k	111	14	define	define	VBP
cord-354953-q1imoe7k	111	15	the	the	DT
cord-354953-q1imoe7k	111	16	following	follow	VBG
cord-354953-q1imoe7k	111	17	notations	notation	NNS
cord-354953-q1imoe7k	111	18	:	:	:
cord-354953-q1imoe7k	112	1	S	S	NNP
cord-354953-q1imoe7k	112	2	i	i	PRP
cord-354953-q1imoe7k	112	3	t	t	NN
cord-354953-q1imoe7k	112	4	,	,	,
cord-354953-q1imoe7k	112	5	the	the	DT
cord-354953-q1imoe7k	112	6	proportion	proportion	NN
cord-354953-q1imoe7k	112	7	of	of	IN
cord-354953-q1imoe7k	112	8	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	112	9	with	with	IN
cord-354953-q1imoe7k	112	10	state	state	NN
cord-354953-q1imoe7k	112	11	0	0	CD
cord-354953-q1imoe7k	112	12	in	in	IN
cord-354953-q1imoe7k	112	13	region	region	NN
cord-354953-q1imoe7k	112	14	i	i	PRP
cord-354953-q1imoe7k	112	15	at	at	IN
cord-354953-q1imoe7k	112	16	the	the	DT
cord-354953-q1imoe7k	112	17	step	step	NN
cord-354953-q1imoe7k	112	18	of	of	IN
cord-354953-q1imoe7k	112	19	time	time	NN
cord-354953-q1imoe7k	112	20	t	t	NN
cord-354953-q1imoe7k	112	21	;	;	:
cord-354953-q1imoe7k	113	1	I	-PRON-	PRP
cord-354953-q1imoe7k	113	2	i	i	PRP
cord-354953-q1imoe7k	113	3	t	t	VBP
cord-354953-q1imoe7k	113	4	(	(	-LRB-
cord-354953-q1imoe7k	113	5	q	q	NNP
cord-354953-q1imoe7k	113	6	)	)	-RRB-
cord-354953-q1imoe7k	113	7	,	,	,
cord-354953-q1imoe7k	113	8	the	the	DT
cord-354953-q1imoe7k	113	9	proportion	proportion	NN
cord-354953-q1imoe7k	113	10	of	of	IN
cord-354953-q1imoe7k	113	11	Infective	Infective	NNP
cord-354953-q1imoe7k	113	12	with	with	IN
cord-354953-q1imoe7k	113	13	state	state	NN
cord-354953-q1imoe7k	113	14	q	q	NNP
cord-354953-q1imoe7k	113	15	in	in	IN
cord-354953-q1imoe7k	113	16	region	region	NN
cord-354953-q1imoe7k	114	1	i	i	PRP
cord-354953-q1imoe7k	114	2	at	at	IN
cord-354953-q1imoe7k	114	3	the	the	DT
cord-354953-q1imoe7k	114	4	step	step	NN
cord-354953-q1imoe7k	114	5	of	of	IN
cord-354953-q1imoe7k	114	6	time	time	NN
cord-354953-q1imoe7k	114	7	t	t	NN
cord-354953-q1imoe7k	114	8	,	,	,
cord-354953-q1imoe7k	114	9	q∈{1	q∈{1	NNP
cord-354953-q1imoe7k	114	10	,	,	,
cord-354953-q1imoe7k	114	11	2	2	CD
cord-354953-q1imoe7k	114	12	,	,	,
cord-354953-q1imoe7k	114	13	…	…	NFP
cord-354953-q1imoe7k	114	14	,	,	,
cord-354953-q1imoe7k	114	15	Now	now	RB
cord-354953-q1imoe7k	114	16	,	,	,
cord-354953-q1imoe7k	114	17	let	let	VB
cord-354953-q1imoe7k	114	18	us	-PRON-	PRP
cord-354953-q1imoe7k	114	19	examine	examine	VB
cord-354953-q1imoe7k	114	20	the	the	DT
cord-354953-q1imoe7k	114	21	state	state	NN
cord-354953-q1imoe7k	114	22	set	set	VBN
cord-354953-q1imoe7k	114	23	of	of	IN
cord-354953-q1imoe7k	114	24	the	the	DT
cord-354953-q1imoe7k	114	25	CA	CA	NNP
cord-354953-q1imoe7k	115	1	(	(	-LRB-
cord-354953-q1imoe7k	115	2	Please	please	UH
cord-354953-q1imoe7k	115	3	note	note	VB
cord-354953-q1imoe7k	115	4	that	that	IN
cord-354953-q1imoe7k	115	5	the	the	DT
cord-354953-q1imoe7k	115	6	state	state	NN
cord-354953-q1imoe7k	115	7	set	set	VBN
cord-354953-q1imoe7k	115	8	of	of	IN
cord-354953-q1imoe7k	115	9	a	a	DT
cord-354953-q1imoe7k	115	10	CA	CA	NNP
cord-354953-q1imoe7k	115	11	is	be	VBZ
cord-354953-q1imoe7k	115	12	different	different	JJ
cord-354953-q1imoe7k	115	13	from	from	IN
cord-354953-q1imoe7k	115	14	the	the	DT
cord-354953-q1imoe7k	115	15	state	state	NN
cord-354953-q1imoe7k	115	16	set	set	VBN
cord-354953-q1imoe7k	115	17	of	of	IN
cord-354953-q1imoe7k	115	18	a	a	DT
cord-354953-q1imoe7k	115	19	subclass	subclass	NN
cord-354953-q1imoe7k	115	20	described	describe	VBN
cord-354953-q1imoe7k	115	21	above	above	RB
cord-354953-q1imoe7k	115	22	)	)	-RRB-
cord-354953-q1imoe7k	115	23	.	.	.
cord-354953-q1imoe7k	116	1	We	-PRON-	PRP
cord-354953-q1imoe7k	116	2	define	define	VBP
cord-354953-q1imoe7k	116	3	the	the	DT
cord-354953-q1imoe7k	116	4	state	state	NN
cord-354953-q1imoe7k	116	5	set	set	VBN
cord-354953-q1imoe7k	116	6	of	of	IN
cord-354953-q1imoe7k	116	7	a	a	DT
cord-354953-q1imoe7k	116	8	cell	cell	NN
cord-354953-q1imoe7k	116	9	according	accord	VBG
cord-354953-q1imoe7k	116	10	to	to	IN
cord-354953-q1imoe7k	116	11	proportions	proportion	NNS
cord-354953-q1imoe7k	116	12	of	of	IN
cord-354953-q1imoe7k	116	13	all	all	DT
cord-354953-q1imoe7k	116	14	subclasses	subclass	NNS
cord-354953-q1imoe7k	116	15	in	in	IN
cord-354953-q1imoe7k	116	16	it	-PRON-	PRP
cord-354953-q1imoe7k	116	17	.	.	.
cord-354953-q1imoe7k	117	1	Set	Set	VBN
cord-354953-q1imoe7k	117	2	,	,	,
cord-354953-q1imoe7k	117	3	 	 	_SP
cord-354953-q1imoe7k	118	1	Then	then	RB
cord-354953-q1imoe7k	118	2	,	,	,
cord-354953-q1imoe7k	118	3	the	the	DT
cord-354953-q1imoe7k	118	4	state	state	NN
cord-354953-q1imoe7k	118	5	of	of	IN
cord-354953-q1imoe7k	118	6	the	the	DT
cord-354953-q1imoe7k	118	7	CA	CA	NNP
cord-354953-q1imoe7k	118	8	used	use	VBD
cord-354953-q1imoe7k	118	9	in	in	IN
cord-354953-q1imoe7k	118	10	the	the	DT
cord-354953-q1imoe7k	118	11	model	model	NN
cord-354953-q1imoe7k	118	12	is	be	VBZ
cord-354953-q1imoe7k	118	13	The	the	DT
cord-354953-q1imoe7k	118	14	subclasses	subclass	NNS
cord-354953-q1imoe7k	118	15	of	of	IN
cord-354953-q1imoe7k	118	16	all	all	DT
cord-354953-q1imoe7k	118	17	cells	cell	NNS
cord-354953-q1imoe7k	118	18	of	of	IN
cord-354953-q1imoe7k	118	19	the	the	DT
cord-354953-q1imoe7k	118	20	cellular	cellular	JJ
cord-354953-q1imoe7k	118	21	space	space	NN
cord-354953-q1imoe7k	118	22	interact	interact	VBP
cord-354953-q1imoe7k	118	23	with	with	IN
cord-354953-q1imoe7k	118	24	each	each	DT
cord-354953-q1imoe7k	118	25	another	another	DT
cord-354953-q1imoe7k	118	26	.	.	.
cord-354953-q1imoe7k	119	1	The	the	DT
cord-354953-q1imoe7k	119	2	interaction	interaction	NN
cord-354953-q1imoe7k	119	3	of	of	IN
cord-354953-q1imoe7k	119	4	every	every	DT
cord-354953-q1imoe7k	119	5	cell	cell	NN
cord-354953-q1imoe7k	119	6	involves	involve	VBZ
cord-354953-q1imoe7k	119	7	two	two	CD
cord-354953-q1imoe7k	119	8	portions	portion	NNS
cord-354953-q1imoe7k	119	9	:	:	:
cord-354953-q1imoe7k	119	10	Internal	Internal	NNP
cord-354953-q1imoe7k	119	11	and	and	CC
cord-354953-q1imoe7k	119	12	External	External	NNP
cord-354953-q1imoe7k	119	13	.	.	.
cord-354953-q1imoe7k	120	1	Internal	internal	JJ
cord-354953-q1imoe7k	120	2	refers	refer	VBZ
cord-354953-q1imoe7k	120	3	to	to	IN
cord-354953-q1imoe7k	120	4	reciprocity	reciprocity	NN
cord-354953-q1imoe7k	120	5	of	of	IN
cord-354953-q1imoe7k	120	6	the	the	DT
cord-354953-q1imoe7k	120	7	subclasses	subclass	NNS
cord-354953-q1imoe7k	120	8	inside	inside	IN
cord-354953-q1imoe7k	120	9	the	the	DT
cord-354953-q1imoe7k	120	10	same	same	JJ
cord-354953-q1imoe7k	120	11	cell	cell	NN
cord-354953-q1imoe7k	120	12	,	,	,
cord-354953-q1imoe7k	120	13	whereas	whereas	IN
cord-354953-q1imoe7k	120	14	External	External	NNP
cord-354953-q1imoe7k	120	15	refers	refer	VBZ
cord-354953-q1imoe7k	120	16	to	to	IN
cord-354953-q1imoe7k	120	17	reciprocity	reciprocity	NN
cord-354953-q1imoe7k	120	18	of	of	IN
cord-354953-q1imoe7k	120	19	subclasses	subclass	NNS
cord-354953-q1imoe7k	120	20	from	from	IN
cord-354953-q1imoe7k	120	21	different	different	JJ
cord-354953-q1imoe7k	120	22	cells	cell	NNS
cord-354953-q1imoe7k	120	23	.	.	.
cord-354953-q1imoe7k	121	1	Based	base	VBN
cord-354953-q1imoe7k	121	2	on	on	IN
cord-354953-q1imoe7k	121	3	the	the	DT
cord-354953-q1imoe7k	121	4	above	above	JJ
cord-354953-q1imoe7k	121	5	definitions	definition	NNS
cord-354953-q1imoe7k	121	6	and	and	CC
cord-354953-q1imoe7k	121	7	concepts	concept	NNS
cord-354953-q1imoe7k	121	8	,	,	,
cord-354953-q1imoe7k	121	9	we	-PRON-	PRP
cord-354953-q1imoe7k	121	10	formulate	formulate	VBP
cord-354953-q1imoe7k	121	11	the	the	DT
cord-354953-q1imoe7k	121	12	following	follow	VBG
cord-354953-q1imoe7k	121	13	transition	transition	NN
cord-354953-q1imoe7k	121	14	rules	rule	NNS
cord-354953-q1imoe7k	121	15	:	:	:
cord-354953-q1imoe7k	121	16	T	T	NNP
cord-354953-q1imoe7k	121	17	T	t	NN
cord-354953-q1imoe7k	121	18	T	t	NN
cord-354953-q1imoe7k	121	19	 	 	_SP
cord-354953-q1imoe7k	121	20	T	t	NN
cord-354953-q1imoe7k	121	21	T	t	NN
cord-354953-q1imoe7k	121	22	  	  	_SP
cord-354953-q1imoe7k	121	23	T	t	NN
cord-354953-q1imoe7k	121	24	 	 	_SP
cord-354953-q1imoe7k	121	25	T	t	NN
cord-354953-q1imoe7k	121	26	T	t	NN
cord-354953-q1imoe7k	121	27	T	t	NN
cord-354953-q1imoe7k	121	28	 	 	_SP
cord-354953-q1imoe7k	121	29	Eq	Eq	NNP
cord-354953-q1imoe7k	121	30	.	.	.
cord-354953-q1imoe7k	122	1	(	(	-LRB-
cord-354953-q1imoe7k	122	2	6a	6a	LS
cord-354953-q1imoe7k	122	3	)	)	-RRB-
cord-354953-q1imoe7k	122	4	depicts	depict	VBZ
cord-354953-q1imoe7k	122	5	that	that	IN
cord-354953-q1imoe7k	122	6	the	the	DT
cord-354953-q1imoe7k	122	7	state	state	NN
cord-354953-q1imoe7k	122	8	of	of	IN
cord-354953-q1imoe7k	122	9	Recovered	Recovered	NNP
cord-354953-q1imoe7k	122	10	who	who	WP
cord-354953-q1imoe7k	122	11	do	do	VBP
cord-354953-q1imoe7k	122	12	not	not	RB
cord-354953-q1imoe7k	122	13	reach	reach	VB
cord-354953-q1imoe7k	122	14	the	the	DT
cord-354953-q1imoe7k	122	15	end	end	NN
cord-354953-q1imoe7k	122	16	of	of	IN
cord-354953-q1imoe7k	122	17	the	the	DT
cord-354953-q1imoe7k	122	18	immune	immune	JJ
cord-354953-q1imoe7k	122	19	phase	phase	NN
cord-354953-q1imoe7k	122	20	increases	increase	VBZ
cord-354953-q1imoe7k	122	21	one	one	CD
cord-354953-q1imoe7k	122	22	.	.	.
cord-354953-q1imoe7k	123	1	Eq	Eq	NNP
cord-354953-q1imoe7k	123	2	.	.	.
cord-354953-q1imoe7k	124	1	(	(	-LRB-
cord-354953-q1imoe7k	124	2	6b	6b	NN
cord-354953-q1imoe7k	124	3	)	)	-RRB-
cord-354953-q1imoe7k	124	4	reflects	reflect	VBZ
cord-354953-q1imoe7k	124	5	that	that	IN
cord-354953-q1imoe7k	124	6	Susceptible	Susceptible	NNP
cord-354953-q1imoe7k	124	7	will	will	MD
cord-354953-q1imoe7k	124	8	lose	lose	VB
cord-354953-q1imoe7k	124	9	some	some	DT
cord-354953-q1imoe7k	124	10	individuals	individual	NNS
cord-354953-q1imoe7k	124	11	due	due	JJ
cord-354953-q1imoe7k	124	12	to	to	IN
cord-354953-q1imoe7k	124	13	the	the	DT
cord-354953-q1imoe7k	124	14	internal	internal	JJ
cord-354953-q1imoe7k	124	15	interaction	interaction	NN
cord-354953-q1imoe7k	124	16	and	and	CC
cord-354953-q1imoe7k	124	17	the	the	DT
cord-354953-q1imoe7k	124	18	external	external	JJ
cord-354953-q1imoe7k	124	19	interaction	interaction	NN
cord-354953-q1imoe7k	124	20	(	(	-LRB-
cord-354953-q1imoe7k	124	21	the	the	DT
cord-354953-q1imoe7k	124	22	first	first	JJ
cord-354953-q1imoe7k	124	23	summation	summation	NN
cord-354953-q1imoe7k	124	24	and	and	CC
cord-354953-q1imoe7k	124	25	the	the	DT
cord-354953-q1imoe7k	124	26	second	second	JJ
cord-354953-q1imoe7k	124	27	summation	summation	NN
cord-354953-q1imoe7k	124	28	)	)	-RRB-
cord-354953-q1imoe7k	124	29	while	while	IN
cord-354953-q1imoe7k	124	30	they	-PRON-	PRP
cord-354953-q1imoe7k	124	31	gain	gain	VBP
cord-354953-q1imoe7k	124	32	some	some	DT
cord-354953-q1imoe7k	124	33	individuals	individual	NNS
cord-354953-q1imoe7k	124	34	since	since	IN
cord-354953-q1imoe7k	124	35	some	some	DT
cord-354953-q1imoe7k	124	36	Recovered	recover	VBN
cord-354953-q1imoe7k	124	37	reach	reach	VBP
cord-354953-q1imoe7k	124	38	the	the	DT
cord-354953-q1imoe7k	124	39	end	end	NN
cord-354953-q1imoe7k	124	40	of	of	IN
cord-354953-q1imoe7k	124	41	the	the	DT
cord-354953-q1imoe7k	124	42	immune	immune	JJ
cord-354953-q1imoe7k	124	43	phase	phase	NN
cord-354953-q1imoe7k	124	44	.	.	.
cord-354953-q1imoe7k	125	1	The	the	DT
cord-354953-q1imoe7k	125	2	first	first	JJ
cord-354953-q1imoe7k	125	3	summation	summation	NN
cord-354953-q1imoe7k	125	4	depicts	depict	VBZ
cord-354953-q1imoe7k	125	5	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	125	6	infected	infect	VBN
cord-354953-q1imoe7k	125	7	by	by	IN
cord-354953-q1imoe7k	125	8	Infective	Infective	NNP
cord-354953-q1imoe7k	125	9	inside	inside	IN
cord-354953-q1imoe7k	125	10	the	the	DT
cord-354953-q1imoe7k	125	11	same	same	JJ
cord-354953-q1imoe7k	125	12	cell	cell	NN
cord-354953-q1imoe7k	125	13	at	at	IN
cord-354953-q1imoe7k	125	14	the	the	DT
cord-354953-q1imoe7k	125	15	step	step	NN
cord-354953-q1imoe7k	125	16	of	of	IN
cord-354953-q1imoe7k	125	17	time	time	NN
cord-354953-q1imoe7k	126	1	t.	t.	NNP
cord-354953-q1imoe7k	127	1	The	the	DT
cord-354953-q1imoe7k	127	2	second	second	JJ
cord-354953-q1imoe7k	127	3	summation	summation	NN
cord-354953-q1imoe7k	127	4	depicts	depict	VBZ
cord-354953-q1imoe7k	127	5	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	127	6	infected	infect	VBN
cord-354953-q1imoe7k	127	7	by	by	IN
cord-354953-q1imoe7k	127	8	Infective	Infective	NNP
cord-354953-q1imoe7k	127	9	from	from	IN
cord-354953-q1imoe7k	127	10	the	the	DT
cord-354953-q1imoe7k	127	11	neighbor	neighbor	NN
cord-354953-q1imoe7k	127	12	cells	cell	NNS
cord-354953-q1imoe7k	127	13	at	at	IN
cord-354953-q1imoe7k	127	14	the	the	DT
cord-354953-q1imoe7k	127	15	step	step	NN
cord-354953-q1imoe7k	127	16	of	of	IN
cord-354953-q1imoe7k	127	17	time	time	NN
cord-354953-q1imoe7k	127	18	t.	t.	NNP
cord-354953-q1imoe7k	127	19	λ(q	λ(q	NNP
cord-354953-q1imoe7k	127	20	)	)	-RRB-
cord-354953-q1imoe7k	127	21	,	,	,
cord-354953-q1imoe7k	127	22	q∈	q∈	ADD
cord-354953-q1imoe7k	127	23	{	{	-LRB-
cord-354953-q1imoe7k	127	24	1	1	CD
cord-354953-q1imoe7k	127	25	,	,	,
cord-354953-q1imoe7k	127	26	…	…	NFP
cord-354953-q1imoe7k	127	27	,	,	,
cord-354953-q1imoe7k	128	1	T	T	NNP
cord-354953-q1imoe7k	128	2	i	i	NNP
cord-354953-q1imoe7k	128	3	+	+	CC
cord-354953-q1imoe7k	128	4	T	t	NN
cord-354953-q1imoe7k	128	5	p	p	NN
cord-354953-q1imoe7k	129	1	+	+	CC
cord-354953-q1imoe7k	129	2	T	T	NNP
cord-354953-q1imoe7k	129	3	l	l	NN
cord-354953-q1imoe7k	129	4	}	}	-RRB-
cord-354953-q1imoe7k	129	5	denote	denote	VB
cord-354953-q1imoe7k	129	6	the	the	DT
cord-354953-q1imoe7k	129	7	effective	effective	JJ
cord-354953-q1imoe7k	129	8	contact	contact	NN
cord-354953-q1imoe7k	129	9	rates	rate	NNS
cord-354953-q1imoe7k	129	10	under	under	IN
cord-354953-q1imoe7k	129	11	a	a	DT
cord-354953-q1imoe7k	129	12	benchmark	benchmark	JJ
cord-354953-q1imoe7k	129	13	density	density	NN
cord-354953-q1imoe7k	129	14	of	of	IN
cord-354953-q1imoe7k	129	15	individual	individual	JJ
cord-354953-q1imoe7k	129	16	distribution	distribution	NN
cord-354953-q1imoe7k	129	17	ρ	ρ	NN
cord-354953-q1imoe7k	129	18	(	(	-LRB-
cord-354953-q1imoe7k	129	19	e.g.	e.g.	RB
cord-354953-q1imoe7k	129	20	1000	1000	CD
cord-354953-q1imoe7k	129	21	person	person	NN
cord-354953-q1imoe7k	129	22	/	/	SYM
cord-354953-q1imoe7k	129	23	km	km	NN
cord-354953-q1imoe7k	129	24	2	2	CD
cord-354953-q1imoe7k	129	25	)	)	-RRB-
cord-354953-q1imoe7k	129	26	.	.	.
cord-354953-q1imoe7k	130	1	We	-PRON-	PRP
cord-354953-q1imoe7k	130	2	call	call	VBP
cord-354953-q1imoe7k	130	3	them	-PRON-	PRP
cord-354953-q1imoe7k	130	4	Benchmark	benchmark	JJ
cord-354953-q1imoe7k	130	5	Effective	effective	JJ
cord-354953-q1imoe7k	130	6	Contact	contact	NN
cord-354953-q1imoe7k	130	7	Rate	rate	NN
cord-354953-q1imoe7k	130	8	(	(	-LRB-
cord-354953-q1imoe7k	130	9	BECR	BECR	NNP
cord-354953-q1imoe7k	130	10	)	)	-RRB-
cord-354953-q1imoe7k	130	11	.	.	.
cord-354953-q1imoe7k	131	1	The	the	DT
cord-354953-q1imoe7k	131	2	BECR	BECR	NNP
cord-354953-q1imoe7k	131	3	may	may	MD
cord-354953-q1imoe7k	131	4	be	be	VB
cord-354953-q1imoe7k	131	5	different	different	JJ
cord-354953-q1imoe7k	131	6	for	for	IN
cord-354953-q1imoe7k	131	7	each	each	DT
cord-354953-q1imoe7k	131	8	state	state	NN
cord-354953-q1imoe7k	131	9	,	,	,
cord-354953-q1imoe7k	131	10	which	which	WDT
cord-354953-q1imoe7k	131	11	is	be	VBZ
cord-354953-q1imoe7k	131	12	a	a	DT
cord-354953-q1imoe7k	131	13	function	function	NN
cord-354953-q1imoe7k	131	14	of	of	IN
cord-354953-q1imoe7k	131	15	state	state	NN
cord-354953-q1imoe7k	131	16	q.	q.	NN
cord-354953-q1imoe7k	132	1	In	in	IN
cord-354953-q1imoe7k	132	2	eq	eq	NNP
cord-354953-q1imoe7k	132	3	.	.	.
cord-354953-q1imoe7k	132	4	(	(	-LRB-
cord-354953-q1imoe7k	132	5	6b	6b	NN
cord-354953-q1imoe7k	132	6	)	)	-RRB-
cord-354953-q1imoe7k	132	7	,	,	,
cord-354953-q1imoe7k	132	8	Here	here	RB
cord-354953-q1imoe7k	132	9	,	,	,
cord-354953-q1imoe7k	132	10	we	-PRON-	PRP
cord-354953-q1imoe7k	132	11	assume	assume	VBP
cord-354953-q1imoe7k	132	12	the	the	DT
cord-354953-q1imoe7k	132	13	effective	effective	JJ
cord-354953-q1imoe7k	132	14	contact	contact	NN
cord-354953-q1imoe7k	132	15	rate	rate	NN
cord-354953-q1imoe7k	132	16	between	between	IN
cord-354953-q1imoe7k	132	17	Susceptible	Susceptible	NNP
cord-354953-q1imoe7k	132	18	and	and	CC
cord-354953-q1imoe7k	132	19	Infective	Infective	NNP
cord-354953-q1imoe7k	132	20	is	be	VBZ
cord-354953-q1imoe7k	132	21	positively	positively	RB
cord-354953-q1imoe7k	132	22	proportioned	proportion	VBN
cord-354953-q1imoe7k	132	23	to	to	IN
cord-354953-q1imoe7k	132	24	the	the	DT
cord-354953-q1imoe7k	132	25	density	density	NN
cord-354953-q1imoe7k	132	26	of	of	IN
cord-354953-q1imoe7k	132	27	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	132	28	distribution	distribution	NN
cord-354953-q1imoe7k	132	29	.	.	.
cord-354953-q1imoe7k	133	1	c	c	NNP
cord-354953-q1imoe7k	133	2	ij	ij	NNP
cord-354953-q1imoe7k	133	3	is	be	VBZ
cord-354953-q1imoe7k	133	4	the	the	DT
cord-354953-q1imoe7k	133	5	correlation	correlation	NN
cord-354953-q1imoe7k	133	6	factor	factor	NN
cord-354953-q1imoe7k	133	7	,	,	,
cord-354953-q1imoe7k	133	8	which	which	WDT
cord-354953-q1imoe7k	133	9	ranges	range	VBZ
cord-354953-q1imoe7k	133	10	from	from	IN
cord-354953-q1imoe7k	133	11	0	0	CD
cord-354953-q1imoe7k	133	12	to	to	IN
cord-354953-q1imoe7k	133	13	1	1	CD
cord-354953-q1imoe7k	133	14	.	.	.
cord-354953-q1imoe7k	134	1	The	the	DT
cord-354953-q1imoe7k	134	2	greater	great	JJR
cord-354953-q1imoe7k	134	3	the	the	DT
cord-354953-q1imoe7k	134	4	distance	distance	NN
cord-354953-q1imoe7k	134	5	between	between	IN
cord-354953-q1imoe7k	134	6	two	two	CD
cord-354953-q1imoe7k	134	7	cells	cell	NNS
cord-354953-q1imoe7k	134	8	is	be	VBZ
cord-354953-q1imoe7k	134	9	,	,	,
cord-354953-q1imoe7k	134	10	the	the	DT
cord-354953-q1imoe7k	134	11	smaller	small	JJR
cord-354953-q1imoe7k	134	12	the	the	DT
cord-354953-q1imoe7k	134	13	c	c	NNP
cord-354953-q1imoe7k	134	14	ij	ij	NNP
cord-354953-q1imoe7k	134	15	is	be	VBZ
cord-354953-q1imoe7k	134	16	.	.	.
cord-354953-q1imoe7k	135	1	R	r	NN
cord-354953-q1imoe7k	135	2	t	t	NN
cord-354953-q1imoe7k	135	3	i	i	NN
cord-354953-q1imoe7k	136	1	(	(	-LRB-
cord-354953-q1imoe7k	136	2	T	T	NNP
cord-354953-q1imoe7k	136	3	r	r	NN
cord-354953-q1imoe7k	136	4	)	)	-RRB-
cord-354953-q1imoe7k	136	5	means	mean	VBZ
cord-354953-q1imoe7k	137	1	Recovered	recover	VBN
cord-354953-q1imoe7k	137	2	who	who	WP
cord-354953-q1imoe7k	137	3	become	become	VBP
cord-354953-q1imoe7k	137	4	susceptible	susceptible	JJ
cord-354953-q1imoe7k	137	5	to	to	IN
cord-354953-q1imoe7k	137	6	the	the	DT
cord-354953-q1imoe7k	137	7	disease	disease	NN
cord-354953-q1imoe7k	137	8	again	again	RB
cord-354953-q1imoe7k	137	9	because	because	IN
cord-354953-q1imoe7k	137	10	their	-PRON-	PRP$
cord-354953-q1imoe7k	137	11	immune	immune	JJ
cord-354953-q1imoe7k	137	12	phases	phase	NNS
cord-354953-q1imoe7k	137	13	end	end	VBP
cord-354953-q1imoe7k	137	14	at	at	IN
cord-354953-q1imoe7k	137	15	the	the	DT
cord-354953-q1imoe7k	137	16	step	step	NN
cord-354953-q1imoe7k	137	17	of	of	IN
cord-354953-q1imoe7k	137	18	time	time	NN
cord-354953-q1imoe7k	137	19	t.	t.	NNP
cord-354953-q1imoe7k	137	20	Eq	Eq	NNP
cord-354953-q1imoe7k	137	21	.	.	.
cord-354953-q1imoe7k	138	1	(	(	-LRB-
cord-354953-q1imoe7k	138	2	6c	6c	NN
cord-354953-q1imoe7k	138	3	)	)	-RRB-
cord-354953-q1imoe7k	138	4	expresses	express	VBZ
cord-354953-q1imoe7k	138	5	that	that	IN
cord-354953-q1imoe7k	138	6	the	the	DT
cord-354953-q1imoe7k	138	7	new	new	JJ
cord-354953-q1imoe7k	138	8	Infective	Infective	NNP
cord-354953-q1imoe7k	138	9	are	be	VBP
cord-354953-q1imoe7k	138	10	equal	equal	JJ
cord-354953-q1imoe7k	138	11	to	to	IN
cord-354953-q1imoe7k	138	12	the	the	DT
cord-354953-q1imoe7k	138	13	loss	loss	NN
cord-354953-q1imoe7k	138	14	of	of	IN
cord-354953-q1imoe7k	138	15	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	138	16	.	.	.
cord-354953-q1imoe7k	139	1	Eq	Eq	NNP
cord-354953-q1imoe7k	139	2	.	.	.
cord-354953-q1imoe7k	140	1	(	(	-LRB-
cord-354953-q1imoe7k	140	2	6d	6d	NNP
cord-354953-q1imoe7k	140	3	)	)	-RRB-
cord-354953-q1imoe7k	140	4	means	mean	VBZ
cord-354953-q1imoe7k	140	5	that	that	IN
cord-354953-q1imoe7k	140	6	some	some	DT
cord-354953-q1imoe7k	140	7	Infective	Infective	NNP
cord-354953-q1imoe7k	140	8	will	will	MD
cord-354953-q1imoe7k	140	9	be	be	VB
cord-354953-q1imoe7k	140	10	cured	cure	VBN
cord-354953-q1imoe7k	140	11	,	,	,
cord-354953-q1imoe7k	140	12	and	and	CC
cord-354953-q1imoe7k	140	13	the	the	DT
cord-354953-q1imoe7k	140	14	cured	cure	VBN
cord-354953-q1imoe7k	140	15	rate	rate	NN
cord-354953-q1imoe7k	140	16	γ	γ	NN
cord-354953-q1imoe7k	140	17	(	(	-LRB-
cord-354953-q1imoe7k	140	18	q	q	NNP
cord-354953-q1imoe7k	140	19	)	)	-RRB-
cord-354953-q1imoe7k	140	20	may	may	MD
cord-354953-q1imoe7k	140	21	be	be	VB
cord-354953-q1imoe7k	140	22	different	different	JJ
cord-354953-q1imoe7k	140	23	for	for	IN
cord-354953-q1imoe7k	140	24	each	each	DT
cord-354953-q1imoe7k	140	25	state	state	NN
cord-354953-q1imoe7k	140	26	,	,	,
cord-354953-q1imoe7k	140	27	which	which	WDT
cord-354953-q1imoe7k	140	28	is	be	VBZ
cord-354953-q1imoe7k	140	29	a	a	DT
cord-354953-q1imoe7k	140	30	function	function	NN
cord-354953-q1imoe7k	140	31	of	of	IN
cord-354953-q1imoe7k	140	32	state	state	NN
cord-354953-q1imoe7k	140	33	q.	q.	NN
cord-354953-q1imoe7k	140	34	Eq	Eq	NNP
cord-354953-q1imoe7k	140	35	.	.	.
cord-354953-q1imoe7k	141	1	(	(	-LRB-
cord-354953-q1imoe7k	141	2	6e	6e	NNP
cord-354953-q1imoe7k	141	3	)	)	-RRB-
cord-354953-q1imoe7k	141	4	expresses	express	VBZ
cord-354953-q1imoe7k	141	5	that	that	IN
cord-354953-q1imoe7k	141	6	some	some	DT
cord-354953-q1imoe7k	141	7	Infective	Infective	NNP
cord-354953-q1imoe7k	141	8	at	at	IN
cord-354953-q1imoe7k	141	9	step	step	NN
cord-354953-q1imoe7k	141	10	of	of	IN
cord-354953-q1imoe7k	141	11	time	time	NN
cord-354953-q1imoe7k	141	12	t	t	NNP
cord-354953-q1imoe7k	141	13	will	will	MD
cord-354953-q1imoe7k	141	14	enter	enter	VB
cord-354953-q1imoe7k	141	15	into	into	IN
cord-354953-q1imoe7k	141	16	the	the	DT
cord-354953-q1imoe7k	141	17	immune	immune	JJ
cord-354953-q1imoe7k	141	18	phase	phase	NN
cord-354953-q1imoe7k	141	19	.	.	.
cord-354953-q1imoe7k	142	1	These	these	DT
cord-354953-q1imoe7k	142	2	individuals	individual	NNS
cord-354953-q1imoe7k	142	3	come	come	VBP
cord-354953-q1imoe7k	142	4	from	from	IN
cord-354953-q1imoe7k	142	5	two	two	CD
cord-354953-q1imoe7k	142	6	parts	part	NNS
cord-354953-q1imoe7k	142	7	:	:	:
cord-354953-q1imoe7k	142	8	one	one	CD
cord-354953-q1imoe7k	142	9	is	be	VBZ
cord-354953-q1imoe7k	142	10	Infective	Infective	NNP
cord-354953-q1imoe7k	142	11	reaching	reach	VBG
cord-354953-q1imoe7k	142	12	the	the	DT
cord-354953-q1imoe7k	142	13	end	end	NN
cord-354953-q1imoe7k	142	14	of	of	IN
cord-354953-q1imoe7k	142	15	the	the	DT
cord-354953-q1imoe7k	142	16	infection	infection	NN
cord-354953-q1imoe7k	142	17	period	period	NN
cord-354953-q1imoe7k	142	18	,	,	,
cord-354953-q1imoe7k	142	19	and	and	CC
cord-354953-q1imoe7k	142	20	the	the	DT
cord-354953-q1imoe7k	142	21	other	other	JJ
cord-354953-q1imoe7k	142	22	is	be	VBZ
cord-354953-q1imoe7k	142	23	Infective	Infective	NNP
cord-354953-q1imoe7k	142	24	cured	cure	VBN
cord-354953-q1imoe7k	142	25	.	.	.
cord-354953-q1imoe7k	143	1	In	in	IN
cord-354953-q1imoe7k	143	2	the	the	DT
cord-354953-q1imoe7k	143	3	above	above	JJ
cord-354953-q1imoe7k	143	4	model	model	NN
cord-354953-q1imoe7k	143	5	,	,	,
cord-354953-q1imoe7k	143	6	the	the	DT
cord-354953-q1imoe7k	143	7	correlation	correlation	NN
cord-354953-q1imoe7k	143	8	factor	factor	NN
cord-354953-q1imoe7k	143	9	c	c	NNP
cord-354953-q1imoe7k	143	10	ij	ij	NNP
cord-354953-q1imoe7k	143	11	reflects	reflect	VBZ
cord-354953-q1imoe7k	143	12	the	the	DT
cord-354953-q1imoe7k	143	13	force	force	NN
cord-354953-q1imoe7k	143	14	of	of	IN
cord-354953-q1imoe7k	143	15	the	the	DT
cord-354953-q1imoe7k	143	16	external	external	JJ
cord-354953-q1imoe7k	143	17	interaction	interaction	NN
cord-354953-q1imoe7k	143	18	between	between	IN
cord-354953-q1imoe7k	143	19	region	region	NN
cord-354953-q1imoe7k	143	20	i	i	NNP
cord-354953-q1imoe7k	143	21	and	and	CC
cord-354953-q1imoe7k	143	22	region	region	NN
cord-354953-q1imoe7k	143	23	j.	j.	NNP
cord-354953-q1imoe7k	143	24	Quantifying	quantify	VBG
cord-354953-q1imoe7k	143	25	the	the	DT
cord-354953-q1imoe7k	143	26	variable	variable	NN
cord-354953-q1imoe7k	143	27	reasonably	reasonably	RB
cord-354953-q1imoe7k	143	28	is	be	VBZ
cord-354953-q1imoe7k	143	29	crucial	crucial	JJ
cord-354953-q1imoe7k	143	30	for	for	IN
cord-354953-q1imoe7k	143	31	effective	effective	JJ
cord-354953-q1imoe7k	143	32	simulation	simulation	NN
cord-354953-q1imoe7k	143	33	of	of	IN
cord-354953-q1imoe7k	143	34	an	an	DT
cord-354953-q1imoe7k	143	35	infectious	infectious	JJ
cord-354953-q1imoe7k	143	36	disease	disease	NN
cord-354953-q1imoe7k	143	37	.	.	.
cord-354953-q1imoe7k	144	1	In	in	IN
cord-354953-q1imoe7k	144	2	this	this	DT
cord-354953-q1imoe7k	144	3	paper	paper	NN
cord-354953-q1imoe7k	144	4	,	,	,
cord-354953-q1imoe7k	144	5	we	-PRON-	PRP
cord-354953-q1imoe7k	144	6	will	will	MD
cord-354953-q1imoe7k	144	7	quantify	quantify	VB
cord-354953-q1imoe7k	144	8	c	c	NNP
cord-354953-q1imoe7k	144	9	ij	ij	NNP
cord-354953-q1imoe7k	144	10	based	base	VBN
cord-354953-q1imoe7k	144	11	on	on	IN
cord-354953-q1imoe7k	144	12	the	the	DT
cord-354953-q1imoe7k	144	13	spatial	spatial	JJ
cord-354953-q1imoe7k	144	14	weighting	weighting	NN
cord-354953-q1imoe7k	144	15	function	function	NN
cord-354953-q1imoe7k	144	16	.	.	.
cord-354953-q1imoe7k	145	1	The	the	DT
cord-354953-q1imoe7k	145	2	Tobler	Tobler	NNP
cord-354953-q1imoe7k	145	3	's	's	POS
cord-354953-q1imoe7k	145	4	first	first	JJ
cord-354953-q1imoe7k	145	5	law	law	NN
cord-354953-q1imoe7k	145	6	of	of	IN
cord-354953-q1imoe7k	145	7	geography	geography	NN
cord-354953-q1imoe7k	145	8	points	point	VBZ
cord-354953-q1imoe7k	145	9	out	out	RP
cord-354953-q1imoe7k	145	10	that	that	IN
cord-354953-q1imoe7k	145	11	everything	everything	NN
cord-354953-q1imoe7k	145	12	is	be	VBZ
cord-354953-q1imoe7k	145	13	related	relate	VBN
cord-354953-q1imoe7k	145	14	to	to	IN
cord-354953-q1imoe7k	145	15	everything	everything	NN
cord-354953-q1imoe7k	145	16	else	else	RB
cord-354953-q1imoe7k	145	17	,	,	,
cord-354953-q1imoe7k	145	18	but	but	CC
cord-354953-q1imoe7k	145	19	near	near	IN
cord-354953-q1imoe7k	145	20	things	thing	NNS
cord-354953-q1imoe7k	145	21	are	be	VBP
cord-354953-q1imoe7k	145	22	more	more	RBR
cord-354953-q1imoe7k	145	23	related	related	JJ
cord-354953-q1imoe7k	145	24	than	than	IN
cord-354953-q1imoe7k	145	25	distant	distant	JJ
cord-354953-q1imoe7k	145	26	things	thing	NNS
cord-354953-q1imoe7k	145	27	[	[	-LRB-
cord-354953-q1imoe7k	145	28	22	22	CD
cord-354953-q1imoe7k	145	29	]	]	-RRB-
cord-354953-q1imoe7k	145	30	.	.	.
cord-354953-q1imoe7k	146	1	The	the	DT
cord-354953-q1imoe7k	146	2	law	law	NN
cord-354953-q1imoe7k	146	3	illustrates	illustrate	VBZ
cord-354953-q1imoe7k	146	4	the	the	DT
cord-354953-q1imoe7k	146	5	universal	universal	JJ
cord-354953-q1imoe7k	146	6	correlation	correlation	NN
cord-354953-q1imoe7k	146	7	.	.	.
cord-354953-q1imoe7k	147	1	In	in	IN
cord-354953-q1imoe7k	147	2	classic	classic	JJ
cord-354953-q1imoe7k	147	3	geography	geography	NN
cord-354953-q1imoe7k	147	4	,	,	,
cord-354953-q1imoe7k	147	5	the	the	DT
cord-354953-q1imoe7k	147	6	spatial	spatial	JJ
cord-354953-q1imoe7k	147	7	weighting	weighting	NN
cord-354953-q1imoe7k	147	8	function	function	NN
cord-354953-q1imoe7k	147	9	is	be	VBZ
cord-354953-q1imoe7k	147	10	used	use	VBN
cord-354953-q1imoe7k	147	11	for	for	IN
cord-354953-q1imoe7k	147	12	quantifying	quantify	VBG
cord-354953-q1imoe7k	147	13	the	the	DT
cord-354953-q1imoe7k	147	14	spatial	spatial	JJ
cord-354953-q1imoe7k	147	15	autocorrelation	autocorrelation	NN
cord-354953-q1imoe7k	147	16	.	.	.
cord-354953-q1imoe7k	148	1	A	a	DT
cord-354953-q1imoe7k	148	2	spatial	spatial	JJ
cord-354953-q1imoe7k	148	3	weighting	weighting	NN
cord-354953-q1imoe7k	148	4	function	function	NN
cord-354953-q1imoe7k	148	5	is	be	VBZ
cord-354953-q1imoe7k	148	6	a	a	DT
cord-354953-q1imoe7k	148	7	set	set	NN
cord-354953-q1imoe7k	148	8	of	of	IN
cord-354953-q1imoe7k	148	9	rules	rule	NNS
cord-354953-q1imoe7k	148	10	that	that	WDT
cord-354953-q1imoe7k	148	11	assign	assign	VBP
cord-354953-q1imoe7k	148	12	values	value	NNS
cord-354953-q1imoe7k	148	13	or	or	CC
cord-354953-q1imoe7k	148	14	"	"	``
cord-354953-q1imoe7k	148	15	weights	weight	NNS
cord-354953-q1imoe7k	148	16	"	"	''
cord-354953-q1imoe7k	148	17	to	to	IN
cord-354953-q1imoe7k	148	18	every	every	DT
cord-354953-q1imoe7k	148	19	pair	pair	NN
cord-354953-q1imoe7k	148	20	of	of	IN
cord-354953-q1imoe7k	148	21	locations	location	NNS
cord-354953-q1imoe7k	148	22	in	in	IN
cord-354953-q1imoe7k	148	23	a	a	DT
cord-354953-q1imoe7k	148	24	study	study	NN
cord-354953-q1imoe7k	148	25	area	area	NN
cord-354953-q1imoe7k	148	26	[	[	-LRB-
cord-354953-q1imoe7k	148	27	23	23	CD
cord-354953-q1imoe7k	148	28	]	]	-RRB-
cord-354953-q1imoe7k	148	29	.	.	.
cord-354953-q1imoe7k	149	1	In	in	IN
cord-354953-q1imoe7k	149	2	essence	essence	NN
cord-354953-q1imoe7k	149	3	,	,	,
cord-354953-q1imoe7k	149	4	the	the	DT
cord-354953-q1imoe7k	149	5	aim	aim	NN
cord-354953-q1imoe7k	149	6	of	of	IN
cord-354953-q1imoe7k	149	7	defining	define	VBG
cord-354953-q1imoe7k	149	8	a	a	DT
cord-354953-q1imoe7k	149	9	spatial	spatial	JJ
cord-354953-q1imoe7k	149	10	weighting	weighting	NN
cord-354953-q1imoe7k	149	11	function	function	NN
cord-354953-q1imoe7k	149	12	is	be	VBZ
cord-354953-q1imoe7k	149	13	to	to	TO
cord-354953-q1imoe7k	149	14	represent	represent	VB
cord-354953-q1imoe7k	149	15	nearness	nearness	NN
cord-354953-q1imoe7k	149	16	and	and	CC
cord-354953-q1imoe7k	149	17	distance	distance	NN
cord-354953-q1imoe7k	149	18	as	as	RB
cord-354953-q1imoe7k	149	19	consistently	consistently	RB
cord-354953-q1imoe7k	149	20	as	as	IN
cord-354953-q1imoe7k	149	21	possible	possible	JJ
cord-354953-q1imoe7k	149	22	for	for	IN
cord-354953-q1imoe7k	149	23	a	a	DT
cord-354953-q1imoe7k	149	24	set	set	NN
cord-354953-q1imoe7k	149	25	of	of	IN
cord-354953-q1imoe7k	149	26	irregular	irregular	JJ
cord-354953-q1imoe7k	149	27	regions	region	NNS
cord-354953-q1imoe7k	149	28	or	or	CC
cord-354953-q1imoe7k	149	29	irregularly	irregularly	RB
cord-354953-q1imoe7k	149	30	spaced	space	VBN
cord-354953-q1imoe7k	149	31	points	point	NNS
cord-354953-q1imoe7k	149	32	.	.	.
cord-354953-q1imoe7k	150	1	The	the	DT
cord-354953-q1imoe7k	150	2	simplest	simple	JJS
cord-354953-q1imoe7k	150	3	weighting	weighting	NN
cord-354953-q1imoe7k	150	4	function	function	NN
cord-354953-q1imoe7k	150	5	for	for	IN
cord-354953-q1imoe7k	150	6	regional	regional	JJ
cord-354953-q1imoe7k	150	7	data	datum	NNS
cord-354953-q1imoe7k	150	8	is	be	VBZ
cord-354953-q1imoe7k	150	9	the	the	DT
cord-354953-q1imoe7k	150	10	binary	binary	JJ
cord-354953-q1imoe7k	150	11	weight	weight	NN
cord-354953-q1imoe7k	150	12	.	.	.
cord-354953-q1imoe7k	151	1	In	in	IN
cord-354953-q1imoe7k	151	2	that	that	DT
cord-354953-q1imoe7k	151	3	case	case	NN
cord-354953-q1imoe7k	151	4	,	,	,
cord-354953-q1imoe7k	151	5	if	if	IN
cord-354953-q1imoe7k	151	6	two	two	CD
cord-354953-q1imoe7k	151	7	regions	region	NNS
cord-354953-q1imoe7k	151	8	have	have	VBP
cord-354953-q1imoe7k	151	9	shared	share	VBN
cord-354953-q1imoe7k	151	10	boundaries	boundary	NNS
cord-354953-q1imoe7k	151	11	,	,	,
cord-354953-q1imoe7k	151	12	then	then	RB
cord-354953-q1imoe7k	151	13	the	the	DT
cord-354953-q1imoe7k	151	14	weight	weight	NN
cord-354953-q1imoe7k	151	15	equals	equal	VBZ
cord-354953-q1imoe7k	151	16	to	to	IN
cord-354953-q1imoe7k	151	17	1	1	CD
cord-354953-q1imoe7k	151	18	,	,	,
cord-354953-q1imoe7k	151	19	or	or	CC
cord-354953-q1imoe7k	151	20	else	else	RB
cord-354953-q1imoe7k	151	21	the	the	DT
cord-354953-q1imoe7k	151	22	weight	weight	NN
cord-354953-q1imoe7k	151	23	equals	equal	VBZ
cord-354953-q1imoe7k	151	24	to	to	IN
cord-354953-q1imoe7k	151	25	0	0	CD
cord-354953-q1imoe7k	151	26	.	.	.
cord-354953-q1imoe7k	152	1	This	this	DT
cord-354953-q1imoe7k	152	2	function	function	NN
cord-354953-q1imoe7k	152	3	assigns	assign	VBZ
cord-354953-q1imoe7k	152	4	the	the	DT
cord-354953-q1imoe7k	152	5	same	same	JJ
cord-354953-q1imoe7k	152	6	values	value	NNS
cord-354953-q1imoe7k	152	7	to	to	IN
cord-354953-q1imoe7k	152	8	pairs	pair	NNS
cord-354953-q1imoe7k	152	9	of	of	IN
cord-354953-q1imoe7k	152	10	regions	region	NNS
cord-354953-q1imoe7k	152	11	with	with	IN
cord-354953-q1imoe7k	152	12	very	very	RB
cord-354953-q1imoe7k	152	13	short	short	JJ
cord-354953-q1imoe7k	152	14	boundaries	boundary	NNS
cord-354953-q1imoe7k	152	15	and	and	CC
cord-354953-q1imoe7k	152	16	pairs	pair	NNS
cord-354953-q1imoe7k	152	17	with	with	IN
cord-354953-q1imoe7k	152	18	very	very	RB
cord-354953-q1imoe7k	152	19	long	long	JJ
cord-354953-q1imoe7k	152	20	boundaries	boundary	NNS
cord-354953-q1imoe7k	152	21	.	.	.
cord-354953-q1imoe7k	153	1	An	an	DT
cord-354953-q1imoe7k	153	2	improved	improved	JJ
cord-354953-q1imoe7k	153	3	approach	approach	NN
cord-354953-q1imoe7k	153	4	is	be	VBZ
cord-354953-q1imoe7k	153	5	to	to	TO
cord-354953-q1imoe7k	153	6	define	define	VB
cord-354953-q1imoe7k	153	7	the	the	DT
cord-354953-q1imoe7k	153	8	weight	weight	NN
cord-354953-q1imoe7k	153	9	of	of	IN
cord-354953-q1imoe7k	153	10	pairs	pair	NNS
cord-354953-q1imoe7k	153	11	of	of	IN
cord-354953-q1imoe7k	153	12	regions	region	NNS
cord-354953-q1imoe7k	153	13	considering	consider	VBG
cord-354953-q1imoe7k	153	14	their	-PRON-	PRP$
cord-354953-q1imoe7k	153	15	shared	share	VBN
cord-354953-q1imoe7k	153	16	boundary	boundary	JJ
cord-354953-q1imoe7k	153	17	length	length	NN
cord-354953-q1imoe7k	153	18	.	.	.
cord-354953-q1imoe7k	154	1	Cliff	Cliff	NNP
cord-354953-q1imoe7k	154	2	and	and	CC
cord-354953-q1imoe7k	154	3	Ord	Ord	NNP
cord-354953-q1imoe7k	154	4	[	[	-LRB-
cord-354953-q1imoe7k	154	5	24	24	CD
cord-354953-q1imoe7k	154	6	]	]	-RRB-
cord-354953-q1imoe7k	154	7	proposed	propose	VBD
cord-354953-q1imoe7k	154	8	a	a	DT
cord-354953-q1imoe7k	154	9	weighting	weighting	NN
cord-354953-q1imoe7k	154	10	function	function	NN
cord-354953-q1imoe7k	154	11	as	as	IN
cord-354953-q1imoe7k	154	12	follows	follow	VBZ
cord-354953-q1imoe7k	154	13	where	where	WRB
cord-354953-q1imoe7k	154	14	z	z	NNP
cord-354953-q1imoe7k	154	15	ij	ij	NNP
cord-354953-q1imoe7k	154	16	is	be	VBZ
cord-354953-q1imoe7k	154	17	the	the	DT
cord-354953-q1imoe7k	154	18	length	length	NN
cord-354953-q1imoe7k	154	19	of	of	IN
cord-354953-q1imoe7k	154	20	the	the	DT
cord-354953-q1imoe7k	154	21	boundaries	boundary	NNS
cord-354953-q1imoe7k	154	22	of	of	IN
cord-354953-q1imoe7k	154	23	region	region	NN
cord-354953-q1imoe7k	154	24	i	i	PRP
cord-354953-q1imoe7k	154	25	that	that	WDT
cord-354953-q1imoe7k	154	26	are	be	VBP
cord-354953-q1imoe7k	154	27	shared	share	VBN
cord-354953-q1imoe7k	154	28	with	with	IN
cord-354953-q1imoe7k	154	29	region	region	NN
cord-354953-q1imoe7k	154	30	j	j	NNP
cord-354953-q1imoe7k	154	31	,	,	,
cord-354953-q1imoe7k	154	32	and	and	CC
cord-354953-q1imoe7k	154	33	l	l	NNP
cord-354953-q1imoe7k	154	34	i	i	PRP
cord-354953-q1imoe7k	154	35	is	be	VBZ
cord-354953-q1imoe7k	154	36	the	the	DT
cord-354953-q1imoe7k	154	37	perimeter	perimeter	NN
cord-354953-q1imoe7k	154	38	of	of	IN
cord-354953-q1imoe7k	154	39	region	region	NN
cord-354953-q1imoe7k	155	1	i.	i.	NNP
cord-354953-q1imoe7k	155	2	This	this	DT
cord-354953-q1imoe7k	155	3	approach	approach	NN
cord-354953-q1imoe7k	155	4	gives	give	VBZ
cord-354953-q1imoe7k	155	5	greater	great	JJR
cord-354953-q1imoe7k	155	6	weight	weight	NN
cord-354953-q1imoe7k	155	7	to	to	IN
cord-354953-q1imoe7k	155	8	regions	region	NNS
cord-354953-q1imoe7k	155	9	that	that	WDT
cord-354953-q1imoe7k	155	10	share	share	VBP
cord-354953-q1imoe7k	155	11	long	long	JJ
cord-354953-q1imoe7k	155	12	boundaries	boundary	NNS
cord-354953-q1imoe7k	155	13	.	.	.
cord-354953-q1imoe7k	156	1	Whereas	whereas	IN
cord-354953-q1imoe7k	156	2	the	the	DT
cord-354953-q1imoe7k	156	3	weights	weight	NNS
cord-354953-q1imoe7k	156	4	calculated	calculate	VBN
cord-354953-q1imoe7k	156	5	by	by	IN
cord-354953-q1imoe7k	156	6	this	this	DT
cord-354953-q1imoe7k	156	7	means	mean	NNS
cord-354953-q1imoe7k	156	8	are	be	VBP
cord-354953-q1imoe7k	156	9	unsymmetrical	unsymmetrical	JJ
cord-354953-q1imoe7k	156	10	,	,	,
cord-354953-q1imoe7k	156	11	i.e.	i.e.	FW
cord-354953-q1imoe7k	156	12	,	,	,
cord-354953-q1imoe7k	156	13	w	w	NNP
cord-354953-q1imoe7k	156	14	ij	ij	NNP
cord-354953-q1imoe7k	156	15	≠w	≠w	NNP
cord-354953-q1imoe7k	156	16	ji	ji	NNP
cord-354953-q1imoe7k	156	17	,	,	,
cord-354953-q1imoe7k	156	18	so	so	RB
cord-354953-q1imoe7k	156	19	we	-PRON-	PRP
cord-354953-q1imoe7k	156	20	modify	modify	VBP
cord-354953-q1imoe7k	156	21	eq	eq	NNP
cord-354953-q1imoe7k	156	22	.	.	.
cord-354953-q1imoe7k	157	1	(	(	-LRB-
cord-354953-q1imoe7k	157	2	7	7	LS
cord-354953-q1imoe7k	157	3	)	)	-RRB-
cord-354953-q1imoe7k	157	4	as	as	IN
cord-354953-q1imoe7k	157	5	follows	follow	VBZ
cord-354953-q1imoe7k	157	6	:	:	:
cord-354953-q1imoe7k	157	7	Any	any	DT
cord-354953-q1imoe7k	157	8	set	set	NN
cord-354953-q1imoe7k	157	9	of	of	IN
cord-354953-q1imoe7k	157	10	regions	region	NNS
cord-354953-q1imoe7k	157	11	can	can	MD
cord-354953-q1imoe7k	157	12	also	also	RB
cord-354953-q1imoe7k	157	13	be	be	VB
cord-354953-q1imoe7k	157	14	represented	represent	VBN
cord-354953-q1imoe7k	157	15	by	by	IN
cord-354953-q1imoe7k	157	16	points	point	NNS
cord-354953-q1imoe7k	157	17	located	locate	VBN
cord-354953-q1imoe7k	157	18	at	at	IN
cord-354953-q1imoe7k	157	19	their	-PRON-	PRP$
cord-354953-q1imoe7k	157	20	centers	center	NNS
cord-354953-q1imoe7k	157	21	so	so	IN
cord-354953-q1imoe7k	157	22	that	that	IN
cord-354953-q1imoe7k	157	23	weighting	weighting	NN
cord-354953-q1imoe7k	157	24	functions	function	NNS
cord-354953-q1imoe7k	157	25	defined	define	VBN
cord-354953-q1imoe7k	157	26	for	for	IN
cord-354953-q1imoe7k	157	27	point	point	NN
cord-354953-q1imoe7k	157	28	data	datum	NNS
cord-354953-q1imoe7k	157	29	can	can	MD
cord-354953-q1imoe7k	157	30	also	also	RB
cord-354953-q1imoe7k	157	31	be	be	VB
cord-354953-q1imoe7k	157	32	applied	apply	VBN
cord-354953-q1imoe7k	157	33	to	to	IN
cord-354953-q1imoe7k	157	34	regional	regional	JJ
cord-354953-q1imoe7k	157	35	data	datum	NNS
cord-354953-q1imoe7k	157	36	.	.	.
cord-354953-q1imoe7k	158	1	Tobler	Tobler	NNP
cord-354953-q1imoe7k	158	2	listed	list	VBD
cord-354953-q1imoe7k	158	3	a	a	DT
cord-354953-q1imoe7k	158	4	series	series	NN
cord-354953-q1imoe7k	158	5	of	of	IN
cord-354953-q1imoe7k	158	6	weighting	weighting	NN
cord-354953-q1imoe7k	158	7	functions	function	NNS
cord-354953-q1imoe7k	158	8	based	base	VBN
cord-354953-q1imoe7k	158	9	on	on	IN
cord-354953-q1imoe7k	158	10	distance	distance	NN
cord-354953-q1imoe7k	158	11	relation	relation	NN
cord-354953-q1imoe7k	158	12	for	for	IN
cord-354953-q1imoe7k	158	13	point	point	NN
cord-354953-q1imoe7k	158	14	data	datum	NNS
cord-354953-q1imoe7k	158	15	[	[	-LRB-
cord-354953-q1imoe7k	158	16	25	25	CD
cord-354953-q1imoe7k	158	17	]	]	-RRB-
cord-354953-q1imoe7k	158	18	.	.	.
cord-354953-q1imoe7k	159	1	There	there	EX
cord-354953-q1imoe7k	159	2	are	be	VBP
cord-354953-q1imoe7k	159	3	also	also	RB
cord-354953-q1imoe7k	159	4	some	some	DT
cord-354953-q1imoe7k	159	5	other	other	JJ
cord-354953-q1imoe7k	159	6	definitions	definition	NNS
cord-354953-q1imoe7k	159	7	which	which	WDT
cord-354953-q1imoe7k	159	8	are	be	VBP
cord-354953-q1imoe7k	159	9	not	not	RB
cord-354953-q1imoe7k	159	10	limited	limit	VBN
cord-354953-q1imoe7k	159	11	to	to	IN
cord-354953-q1imoe7k	159	12	distance	distance	NN
cord-354953-q1imoe7k	159	13	relation	relation	NN
cord-354953-q1imoe7k	159	14	,	,	,
cord-354953-q1imoe7k	159	15	such	such	JJ
cord-354953-q1imoe7k	159	16	as	as	IN
cord-354953-q1imoe7k	159	17	travel	travel	NN
cord-354953-q1imoe7k	159	18	and	and	CC
cord-354953-q1imoe7k	159	19	individual	individual	JJ
cord-354953-q1imoe7k	159	20	contact	contact	NN
cord-354953-q1imoe7k	159	21	,	,	,
cord-354953-q1imoe7k	159	22	journey	journey	NN
cord-354953-q1imoe7k	159	23	-	-	HYPH
cord-354953-q1imoe7k	159	24	to	to	IN
cord-354953-q1imoe7k	159	25	-	-	HYPH
cord-354953-q1imoe7k	159	26	work	work	NN
cord-354953-q1imoe7k	159	27	,	,	,
cord-354953-q1imoe7k	159	28	journey	journey	NN
cord-354953-q1imoe7k	159	29	-	-	HYPH
cord-354953-q1imoe7k	159	30	to	to	IN
cord-354953-q1imoe7k	159	31	-	-	HYPH
cord-354953-q1imoe7k	159	32	school	school	NN
cord-354953-q1imoe7k	159	33	,	,	,
cord-354953-q1imoe7k	159	34	and	and	CC
cord-354953-q1imoe7k	159	35	journey	journey	NN
cord-354953-q1imoe7k	159	36	-	-	HYPH
cord-354953-q1imoe7k	159	37	to	to	IN
cord-354953-q1imoe7k	159	38	-	-	HYPH
cord-354953-q1imoe7k	159	39	hospital	hospital	NN
cord-354953-q1imoe7k	159	40	[	[	-LRB-
cord-354953-q1imoe7k	159	41	23	23	CD
cord-354953-q1imoe7k	159	42	]	]	-RRB-
cord-354953-q1imoe7k	159	43	.	.	.
cord-354953-q1imoe7k	160	1	In	in	IN
cord-354953-q1imoe7k	160	2	order	order	NN
cord-354953-q1imoe7k	160	3	to	to	TO
cord-354953-q1imoe7k	160	4	model	model	VB
cord-354953-q1imoe7k	160	5	an	an	DT
cord-354953-q1imoe7k	160	6	infectious	infectious	JJ
cord-354953-q1imoe7k	160	7	disease	disease	NN
cord-354953-q1imoe7k	160	8	,	,	,
cord-354953-q1imoe7k	160	9	first	first	RB
cord-354953-q1imoe7k	160	10	we	-PRON-	PRP
cord-354953-q1imoe7k	160	11	select	select	VBP
cord-354953-q1imoe7k	160	12	a	a	DT
cord-354953-q1imoe7k	160	13	suitable	suitable	JJ
cord-354953-q1imoe7k	160	14	spatial	spatial	JJ
cord-354953-q1imoe7k	160	15	weighting	weighting	NN
cord-354953-q1imoe7k	160	16	function	function	NN
cord-354953-q1imoe7k	160	17	given	give	VBN
cord-354953-q1imoe7k	160	18	the	the	DT
cord-354953-q1imoe7k	160	19	epidemiological	epidemiological	JJ
cord-354953-q1imoe7k	160	20	characteristics	characteristic	NNS
cord-354953-q1imoe7k	160	21	of	of	IN
cord-354953-q1imoe7k	160	22	the	the	DT
cord-354953-q1imoe7k	160	23	infectious	infectious	JJ
cord-354953-q1imoe7k	160	24	disease	disease	NN
cord-354953-q1imoe7k	160	25	.	.	.
cord-354953-q1imoe7k	161	1	Then	then	RB
cord-354953-q1imoe7k	161	2	standardize	standardize	VB
cord-354953-q1imoe7k	161	3	the	the	DT
cord-354953-q1imoe7k	161	4	resulting	result	VBG
cord-354953-q1imoe7k	161	5	weights	weight	NNS
cord-354953-q1imoe7k	161	6	.	.	.
cord-354953-q1imoe7k	162	1	The	the	DT
cord-354953-q1imoe7k	162	2	standardization	standardization	NN
cord-354953-q1imoe7k	162	3	process	process	NN
cord-354953-q1imoe7k	162	4	is	be	VBZ
cord-354953-q1imoe7k	162	5	to	to	TO
cord-354953-q1imoe7k	162	6	transform	transform	VB
cord-354953-q1imoe7k	162	7	the	the	DT
cord-354953-q1imoe7k	162	8	weights	weight	NNS
cord-354953-q1imoe7k	162	9	to	to	TO
cord-354953-q1imoe7k	162	10	meet	meet	VB
cord-354953-q1imoe7k	162	11	the	the	DT
cord-354953-q1imoe7k	162	12	following	follow	VBG
cord-354953-q1imoe7k	162	13	conditions	condition	NNS
cord-354953-q1imoe7k	162	14	:	:	:
cord-354953-q1imoe7k	162	15	the	the	DT
cord-354953-q1imoe7k	162	16	correlation	correlation	NN
cord-354953-q1imoe7k	162	17	factors	factor	NNS
cord-354953-q1imoe7k	162	18	approach	approach	VBP
cord-354953-q1imoe7k	162	19	zero	zero	CD
cord-354953-q1imoe7k	162	20	for	for	IN
cord-354953-q1imoe7k	162	21	small	small	JJ
cord-354953-q1imoe7k	162	22	weight	weight	NN
cord-354953-q1imoe7k	162	23	but	but	CC
cord-354953-q1imoe7k	162	24	do	do	VBP
cord-354953-q1imoe7k	162	25	not	not	RB
cord-354953-q1imoe7k	162	26	become	become	VB
cord-354953-q1imoe7k	162	27	negative	negative	JJ
cord-354953-q1imoe7k	162	28	and	and	CC
cord-354953-q1imoe7k	162	29	they	-PRON-	PRP
cord-354953-q1imoe7k	162	30	approach	approach	VBP
cord-354953-q1imoe7k	162	31	one	one	CD
cord-354953-q1imoe7k	162	32	for	for	IN
cord-354953-q1imoe7k	162	33	large	large	JJ
cord-354953-q1imoe7k	162	34	weight	weight	NN
cord-354953-q1imoe7k	162	35	but	but	CC
cord-354953-q1imoe7k	162	36	are	be	VBP
cord-354953-q1imoe7k	162	37	not	not	RB
cord-354953-q1imoe7k	162	38	greater	great	JJR
cord-354953-q1imoe7k	162	39	than	than	IN
cord-354953-q1imoe7k	162	40	one	one	CD
cord-354953-q1imoe7k	162	41	,	,	,
cord-354953-q1imoe7k	162	42	i.e.	i.e.	FW
cord-354953-q1imoe7k	162	43	,	,	,
cord-354953-q1imoe7k	162	44	the	the	DT
cord-354953-q1imoe7k	162	45	weights	weight	NNS
cord-354953-q1imoe7k	162	46	and	and	CC
cord-354953-q1imoe7k	162	47	the	the	DT
cord-354953-q1imoe7k	162	48	correlation	correlation	NN
cord-354953-q1imoe7k	162	49	factors	factor	NNS
cord-354953-q1imoe7k	162	50	meet	meet	VBP
cord-354953-q1imoe7k	162	51	the	the	DT
cord-354953-q1imoe7k	162	52	following	following	JJ
cord-354953-q1imoe7k	162	53	mapping	mapping	NN
cord-354953-q1imoe7k	162	54	relationship	relationship	NN
cord-354953-q1imoe7k	162	55	(	(	-LRB-
cord-354953-q1imoe7k	162	56	0,1	0,1	CD
cord-354953-q1imoe7k	162	57	)	)	-RRB-
cord-354953-q1imoe7k	162	58	.	.	.
cord-354953-q1imoe7k	163	1	The	the	DT
cord-354953-q1imoe7k	163	2	following	following	NN
cord-354953-q1imoe7k	163	3	is	be	VBZ
cord-354953-q1imoe7k	163	4	an	an	DT
cord-354953-q1imoe7k	163	5	alternative	alternative	NN
cord-354953-q1imoe7k	163	6	of	of	IN
cord-354953-q1imoe7k	163	7	the	the	DT
cord-354953-q1imoe7k	163	8	transformation	transformation	NN
cord-354953-q1imoe7k	163	9	functions	function	NNS
cord-354953-q1imoe7k	163	10	:	:	:
cord-354953-q1imoe7k	163	11	 	 	_SP
cord-354953-q1imoe7k	163	12	If	if	IN
cord-354953-q1imoe7k	163	13	an	an	DT
cord-354953-q1imoe7k	163	14	infectious	infectious	JJ
cord-354953-q1imoe7k	163	15	disease	disease	NN
cord-354953-q1imoe7k	163	16	is	be	VBZ
cord-354953-q1imoe7k	163	17	locally	locally	RB
cord-354953-q1imoe7k	163	18	contagious	contagious	JJ
cord-354953-q1imoe7k	163	19	,	,	,
cord-354953-q1imoe7k	163	20	in	in	IN
cord-354953-q1imoe7k	163	21	which	which	WDT
cord-354953-q1imoe7k	163	22	case	case	NN
cord-354953-q1imoe7k	163	23	it	-PRON-	PRP
cord-354953-q1imoe7k	163	24	would	would	MD
cord-354953-q1imoe7k	163	25	spread	spread	VB
cord-354953-q1imoe7k	163	26	mainly	mainly	RB
cord-354953-q1imoe7k	163	27	around	around	IN
cord-354953-q1imoe7k	163	28	nearby	nearby	JJ
cord-354953-q1imoe7k	163	29	regions	region	NNS
cord-354953-q1imoe7k	163	30	,	,	,
cord-354953-q1imoe7k	163	31	the	the	DT
cord-354953-q1imoe7k	163	32	weighting	weighting	NN
cord-354953-q1imoe7k	163	33	functions	function	NNS
cord-354953-q1imoe7k	163	34	based	base	VBN
cord-354953-q1imoe7k	163	35	on	on	IN
cord-354953-q1imoe7k	163	36	distance	distance	NN
cord-354953-q1imoe7k	163	37	relation	relation	NN
cord-354953-q1imoe7k	163	38	may	may	MD
cord-354953-q1imoe7k	163	39	be	be	VB
cord-354953-q1imoe7k	163	40	appropriate	appropriate	JJ
cord-354953-q1imoe7k	163	41	alternatives	alternative	NNS
cord-354953-q1imoe7k	163	42	.	.	.
cord-354953-q1imoe7k	164	1	However	however	RB
cord-354953-q1imoe7k	164	2	,	,	,
cord-354953-q1imoe7k	164	3	while	while	IN
cord-354953-q1imoe7k	164	4	an	an	DT
cord-354953-q1imoe7k	164	5	infectious	infectious	JJ
cord-354953-q1imoe7k	164	6	disease	disease	NN
cord-354953-q1imoe7k	164	7	is	be	VBZ
cord-354953-q1imoe7k	164	8	not	not	RB
cord-354953-q1imoe7k	164	9	limited	limit	VBN
cord-354953-q1imoe7k	164	10	to	to	IN
cord-354953-q1imoe7k	164	11	local	local	JJ
cord-354953-q1imoe7k	164	12	contagion	contagion	NN
cord-354953-q1imoe7k	164	13	,	,	,
cord-354953-q1imoe7k	164	14	the	the	DT
cord-354953-q1imoe7k	164	15	weighting	weighting	NN
cord-354953-q1imoe7k	164	16	functions	function	NNS
cord-354953-q1imoe7k	164	17	based	base	VBN
cord-354953-q1imoe7k	164	18	on	on	IN
cord-354953-q1imoe7k	164	19	global	global	JJ
cord-354953-q1imoe7k	164	20	contagion	contagion	NN
cord-354953-q1imoe7k	164	21	patterns	pattern	NNS
cord-354953-q1imoe7k	164	22	,	,	,
cord-354953-q1imoe7k	164	23	such	such	JJ
cord-354953-q1imoe7k	164	24	as	as	IN
cord-354953-q1imoe7k	164	25	travel	travel	NN
cord-354953-q1imoe7k	164	26	and	and	CC
cord-354953-q1imoe7k	164	27	individual	individual	JJ
cord-354953-q1imoe7k	164	28	contact	contact	NN
cord-354953-q1imoe7k	164	29	,	,	,
cord-354953-q1imoe7k	164	30	journey	journey	NN
cord-354953-q1imoe7k	164	31	-	-	HYPH
cord-354953-q1imoe7k	164	32	to	to	IN
cord-354953-q1imoe7k	164	33	-	-	HYPH
cord-354953-q1imoe7k	164	34	work	work	NN
cord-354953-q1imoe7k	164	35	,	,	,
cord-354953-q1imoe7k	164	36	journey	journey	NN
cord-354953-q1imoe7k	164	37	-	-	HYPH
cord-354953-q1imoe7k	164	38	to	to	IN
cord-354953-q1imoe7k	164	39	-	-	HYPH
cord-354953-q1imoe7k	164	40	school	school	NN
cord-354953-q1imoe7k	164	41	,	,	,
cord-354953-q1imoe7k	164	42	and	and	CC
cord-354953-q1imoe7k	164	43	journey	journey	NN
cord-354953-q1imoe7k	164	44	-	-	HYPH
cord-354953-q1imoe7k	164	45	to	to	IN
cord-354953-q1imoe7k	164	46	-	-	HYPH
cord-354953-q1imoe7k	164	47	hospital	hospital	NN
cord-354953-q1imoe7k	164	48	[	[	-LRB-
cord-354953-q1imoe7k	164	49	23	23	CD
cord-354953-q1imoe7k	164	50	]	]	-RRB-
cord-354953-q1imoe7k	164	51	,	,	,
cord-354953-q1imoe7k	164	52	would	would	MD
cord-354953-q1imoe7k	164	53	be	be	VB
cord-354953-q1imoe7k	164	54	preferred	prefer	VBN
cord-354953-q1imoe7k	164	55	.	.	.
cord-354953-q1imoe7k	165	1	In	in	IN
cord-354953-q1imoe7k	165	2	the	the	DT
cord-354953-q1imoe7k	165	3	cases	case	NNS
cord-354953-q1imoe7k	165	4	of	of	IN
cord-354953-q1imoe7k	165	5	simulation	simulation	NN
cord-354953-q1imoe7k	165	6	,	,	,
cord-354953-q1imoe7k	165	7	we	-PRON-	PRP
cord-354953-q1imoe7k	165	8	demonstrate	demonstrate	VBP
cord-354953-q1imoe7k	165	9	the	the	DT
cord-354953-q1imoe7k	165	10	state	state	NN
cord-354953-q1imoe7k	165	11	of	of	IN
cord-354953-q1imoe7k	165	12	each	each	DT
cord-354953-q1imoe7k	165	13	cell	cell	NN
cord-354953-q1imoe7k	165	14	by	by	IN
cord-354953-q1imoe7k	165	15	means	mean	NNS
cord-354953-q1imoe7k	165	16	of	of	IN
cord-354953-q1imoe7k	165	17	pie	pie	NN
cord-354953-q1imoe7k	165	18	charts	chart	NNS
cord-354953-q1imoe7k	165	19	.	.	.
cord-354953-q1imoe7k	166	1	The	the	DT
cord-354953-q1imoe7k	166	2	sectors	sector	NNS
cord-354953-q1imoe7k	166	3	filled	fill	VBN
cord-354953-q1imoe7k	166	4	with	with	IN
cord-354953-q1imoe7k	166	5	colors	color	NNS
cord-354953-q1imoe7k	166	6	white	white	JJ
cord-354953-q1imoe7k	166	7	,	,	,
cord-354953-q1imoe7k	166	8	grey	grey	JJ
cord-354953-q1imoe7k	166	9	,	,	,
cord-354953-q1imoe7k	166	10	black	black	JJ
cord-354953-q1imoe7k	166	11	represent	represent	VBP
cord-354953-q1imoe7k	166	12	the	the	DT
cord-354953-q1imoe7k	166	13	proportions	proportion	NNS
cord-354953-q1imoe7k	166	14	of	of	IN
cord-354953-q1imoe7k	166	15	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	166	16	,	,	,
cord-354953-q1imoe7k	166	17	Infective	Infective	NNP
cord-354953-q1imoe7k	166	18	and	and	CC
cord-354953-q1imoe7k	166	19	Recovered	recover	VBD
cord-354953-q1imoe7k	166	20	respectively	respectively	RB
cord-354953-q1imoe7k	166	21	.	.	.
cord-354953-q1imoe7k	167	1	T	T	NNP
cord-354953-q1imoe7k	167	2	i	i	NNP
cord-354953-q1imoe7k	167	3	,	,	,
cord-354953-q1imoe7k	167	4	T	T	NNP
cord-354953-q1imoe7k	167	5	p	p	NN
cord-354953-q1imoe7k	167	6	,	,	,
cord-354953-q1imoe7k	167	7	T	T	NNP
cord-354953-q1imoe7k	167	8	l	l	NN
cord-354953-q1imoe7k	167	9	,	,	,
cord-354953-q1imoe7k	167	10	T	T	NNP
cord-354953-q1imoe7k	167	11	r	r	NN
cord-354953-q1imoe7k	167	12	are	be	VBP
cord-354953-q1imoe7k	167	13	assigned	assign	VBN
cord-354953-q1imoe7k	167	14	with	with	IN
cord-354953-q1imoe7k	167	15	the	the	DT
cord-354953-q1imoe7k	167	16	following	follow	VBG
cord-354953-q1imoe7k	167	17	artificially	artificially	RB
cord-354953-q1imoe7k	167	18	chosen	choose	VBN
cord-354953-q1imoe7k	167	19	parameters	parameter	NNS
cord-354953-q1imoe7k	167	20	:	:	:
cord-354953-q1imoe7k	167	21	2	2	CD
cord-354953-q1imoe7k	167	22	,	,	,
cord-354953-q1imoe7k	167	23	2	2	CD
cord-354953-q1imoe7k	167	24	,	,	,
cord-354953-q1imoe7k	167	25	2	2	CD
cord-354953-q1imoe7k	167	26	,	,	,
cord-354953-q1imoe7k	167	27	7	7	CD
cord-354953-q1imoe7k	167	28	days	day	NNS
cord-354953-q1imoe7k	167	29	,	,	,
cord-354953-q1imoe7k	167	30	and	and	CC
cord-354953-q1imoe7k	167	31	λ(q)=0.2	λ(q)=0.2	NNP
cord-354953-q1imoe7k	167	32	,	,	,
cord-354953-q1imoe7k	167	33	γ	γ	NNP
cord-354953-q1imoe7k	167	34	(	(	-LRB-
cord-354953-q1imoe7k	167	35	q)=0.1	q)=0.1	NNP
cord-354953-q1imoe7k	167	36	,	,	,
cord-354953-q1imoe7k	167	37	q∈	q∈	ADD
cord-354953-q1imoe7k	167	38	{	{	-LRB-
cord-354953-q1imoe7k	167	39	1	1	CD
cord-354953-q1imoe7k	167	40	,	,	,
cord-354953-q1imoe7k	167	41	2	2	CD
cord-354953-q1imoe7k	167	42	,	,	,
cord-354953-q1imoe7k	167	43	…	…	NFP
cord-354953-q1imoe7k	167	44	,	,	,
cord-354953-q1imoe7k	167	45	T	T	NNP
cord-354953-q1imoe7k	167	46	i	i	NN
cord-354953-q1imoe7k	167	47	+	+	CC
cord-354953-q1imoe7k	167	48	T	t	NN
cord-354953-q1imoe7k	167	49	p	p	NN
cord-354953-q1imoe7k	167	50	+	+	CC
cord-354953-q1imoe7k	167	51	T	t	NN
cord-354953-q1imoe7k	167	52	l	l	NN
cord-354953-q1imoe7k	167	53	}	}	-RRB-
cord-354953-q1imoe7k	167	54	(	(	-LRB-
cord-354953-q1imoe7k	167	55	except	except	IN
cord-354953-q1imoe7k	167	56	explicitly	explicitly	RB
cord-354953-q1imoe7k	167	57	claimed	claim	VBN
cord-354953-q1imoe7k	167	58	)	)	-RRB-
cord-354953-q1imoe7k	167	59	.	.	.
cord-354953-q1imoe7k	168	1	The	the	DT
cord-354953-q1imoe7k	168	2	steps	step	NNS
cord-354953-q1imoe7k	168	3	of	of	IN
cord-354953-q1imoe7k	168	4	time	time	NN
cord-354953-q1imoe7k	168	5	of	of	IN
cord-354953-q1imoe7k	168	6	the	the	DT
cord-354953-q1imoe7k	168	7	cases	case	NNS
cord-354953-q1imoe7k	168	8	of	of	IN
cord-354953-q1imoe7k	168	9	simulation	simulation	NN
cord-354953-q1imoe7k	168	10	are	be	VBP
cord-354953-q1imoe7k	168	11	all	all	DT
cord-354953-q1imoe7k	168	12	100	100	CD
cord-354953-q1imoe7k	168	13	days	day	NNS
cord-354953-q1imoe7k	168	14	.	.	.
cord-354953-q1imoe7k	169	1	Figure	figure	NN
cord-354953-q1imoe7k	169	2	2	2	CD
cord-354953-q1imoe7k	169	3	illustrates	illustrate	VBZ
cord-354953-q1imoe7k	169	4	the	the	DT
cord-354953-q1imoe7k	169	5	sketch	sketch	NN
cord-354953-q1imoe7k	169	6	map	map	NN
cord-354953-q1imoe7k	169	7	of	of	IN
cord-354953-q1imoe7k	169	8	the	the	DT
cord-354953-q1imoe7k	169	9	geographical	geographical	JJ
cord-354953-q1imoe7k	169	10	environment	environment	NN
cord-354953-q1imoe7k	169	11	of	of	IN
cord-354953-q1imoe7k	169	12	simulation	simulation	NN
cord-354953-q1imoe7k	169	13	.	.	.
cord-354953-q1imoe7k	170	1	The	the	DT
cord-354953-q1imoe7k	170	2	environment	environment	NN
cord-354953-q1imoe7k	170	3	comprises	comprise	VBZ
cord-354953-q1imoe7k	170	4	tens	ten	NNS
cord-354953-q1imoe7k	170	5	of	of	IN
cord-354953-q1imoe7k	170	6	geographical	geographical	JJ
cord-354953-q1imoe7k	170	7	regions	region	NNS
cord-354953-q1imoe7k	170	8	and	and	CC
cord-354953-q1imoe7k	170	9	several	several	JJ
cord-354953-q1imoe7k	170	10	transportation	transportation	NN
cord-354953-q1imoe7k	170	11	lines	line	NNS
cord-354953-q1imoe7k	170	12	.	.	.
cord-354953-q1imoe7k	171	1	There	there	EX
cord-354953-q1imoe7k	171	2	are	be	VBP
cord-354953-q1imoe7k	171	3	entries	entry	NNS
cord-354953-q1imoe7k	171	4	/	/	SYM
cord-354953-q1imoe7k	171	5	exits	exit	NNS
cord-354953-q1imoe7k	171	6	distributed	distribute	VBN
cord-354953-q1imoe7k	171	7	unevenly	unevenly	RB
cord-354953-q1imoe7k	171	8	along	along	IN
cord-354953-q1imoe7k	171	9	these	these	DT
cord-354953-q1imoe7k	171	10	lines	line	NNS
cord-354953-q1imoe7k	171	11	through	through	IN
cord-354953-q1imoe7k	171	12	which	which	WDT
cord-354953-q1imoe7k	171	13	people	people	NNS
cord-354953-q1imoe7k	171	14	can	can	MD
cord-354953-q1imoe7k	171	15	get	get	VB
cord-354953-q1imoe7k	171	16	up	up	RP
cord-354953-q1imoe7k	171	17	and	and	CC
cord-354953-q1imoe7k	171	18	off	off	IN
cord-354953-q1imoe7k	171	19	vehicles	vehicle	NNS
cord-354953-q1imoe7k	171	20	.	.	.
cord-354953-q1imoe7k	172	1	In	in	IN
cord-354953-q1imoe7k	172	2	the	the	DT
cord-354953-q1imoe7k	172	3	following	follow	VBG
cord-354953-q1imoe7k	172	4	cases	case	NNS
cord-354953-q1imoe7k	172	5	of	of	IN
cord-354953-q1imoe7k	172	6	simulation	simulation	NN
cord-354953-q1imoe7k	172	7	,	,	,
cord-354953-q1imoe7k	172	8	we	-PRON-	PRP
cord-354953-q1imoe7k	172	9	will	will	MD
cord-354953-q1imoe7k	172	10	examine	examine	VB
cord-354953-q1imoe7k	172	11	the	the	DT
cord-354953-q1imoe7k	172	12	spatial	spatial	JJ
cord-354953-q1imoe7k	172	13	dynamics	dynamic	NNS
cord-354953-q1imoe7k	172	14	of	of	IN
cord-354953-q1imoe7k	172	15	infectious	infectious	JJ
cord-354953-q1imoe7k	172	16	diseases	disease	NNS
cord-354953-q1imoe7k	172	17	with	with	IN
cord-354953-q1imoe7k	172	18	the	the	DT
cord-354953-q1imoe7k	172	19	local	local	JJ
cord-354953-q1imoe7k	172	20	contagion	contagion	NN
cord-354953-q1imoe7k	172	21	and	and	CC
cord-354953-q1imoe7k	172	22	the	the	DT
cord-354953-q1imoe7k	172	23	global	global	JJ
cord-354953-q1imoe7k	172	24	contagion	contagion	NN
cord-354953-q1imoe7k	172	25	,	,	,
cord-354953-q1imoe7k	172	26	and	and	CC
cord-354953-q1imoe7k	172	27	the	the	DT
cord-354953-q1imoe7k	172	28	effect	effect	NN
cord-354953-q1imoe7k	172	29	of	of	IN
cord-354953-q1imoe7k	172	30	two	two	CD
cord-354953-q1imoe7k	172	31	typical	typical	JJ
cord-354953-q1imoe7k	172	32	interventions	intervention	NNS
cord-354953-q1imoe7k	172	33	(	(	-LRB-
cord-354953-q1imoe7k	172	34	isolation	isolation	NN
cord-354953-q1imoe7k	172	35	and	and	CC
cord-354953-q1imoe7k	172	36	quarantine	quarantine	NN
cord-354953-q1imoe7k	172	37	)	)	-RRB-
cord-354953-q1imoe7k	172	38	on	on	IN
cord-354953-q1imoe7k	172	39	the	the	DT
cord-354953-q1imoe7k	172	40	spread	spread	NN
cord-354953-q1imoe7k	172	41	of	of	IN
cord-354953-q1imoe7k	172	42	infectious	infectious	JJ
cord-354953-q1imoe7k	172	43	diseases	disease	NNS
cord-354953-q1imoe7k	172	44	.	.	.
cord-354953-q1imoe7k	173	1	The	the	DT
cord-354953-q1imoe7k	173	2	first	first	JJ
cord-354953-q1imoe7k	173	3	case	case	NN
cord-354953-q1imoe7k	173	4	we	-PRON-	PRP
cord-354953-q1imoe7k	173	5	present	present	VBP
cord-354953-q1imoe7k	173	6	is	be	VBZ
cord-354953-q1imoe7k	173	7	the	the	DT
cord-354953-q1imoe7k	173	8	situation	situation	NN
cord-354953-q1imoe7k	173	9	with	with	IN
cord-354953-q1imoe7k	173	10	local	local	JJ
cord-354953-q1imoe7k	173	11	contagion	contagion	NN
cord-354953-q1imoe7k	173	12	.	.	.
cord-354953-q1imoe7k	174	1	Here	here	RB
cord-354953-q1imoe7k	174	2	the	the	DT
cord-354953-q1imoe7k	174	3	spatial	spatial	JJ
cord-354953-q1imoe7k	174	4	weighting	weighting	NN
cord-354953-q1imoe7k	174	5	function	function	NN
cord-354953-q1imoe7k	174	6	defined	define	VBN
cord-354953-q1imoe7k	174	7	by	by	IN
cord-354953-q1imoe7k	174	8	eq	eq	NNP
cord-354953-q1imoe7k	174	9	.	.	.
cord-354953-q1imoe7k	175	1	(	(	-LRB-
cord-354953-q1imoe7k	175	2	8)	8)	NNP
cord-354953-q1imoe7k	175	3	is	be	VBZ
cord-354953-q1imoe7k	175	4	employed	employ	VBN
cord-354953-q1imoe7k	175	5	.	.	.
cord-354953-q1imoe7k	176	1	Since	since	IN
cord-354953-q1imoe7k	176	2	the	the	DT
cord-354953-q1imoe7k	176	3	calculated	calculated	JJ
cord-354953-q1imoe7k	176	4	weights	weight	NNS
cord-354953-q1imoe7k	176	5	are	be	VBP
cord-354953-q1imoe7k	176	6	within	within	IN
cord-354953-q1imoe7k	176	7	(	(	-LRB-
cord-354953-q1imoe7k	176	8	0	0	CD
cord-354953-q1imoe7k	176	9	,	,	,
cord-354953-q1imoe7k	176	10	1	1	CD
cord-354953-q1imoe7k	176	11	)	)	-RRB-
cord-354953-q1imoe7k	176	12	,	,	,
cord-354953-q1imoe7k	176	13	we	-PRON-	PRP
cord-354953-q1imoe7k	176	14	define	define	VBP
cord-354953-q1imoe7k	176	15	c	c	NN
cord-354953-q1imoe7k	176	16	ij	ij	NNP
cord-354953-q1imoe7k	176	17	=	=	SYM
cord-354953-q1imoe7k	176	18	w	w	NNP
cord-354953-q1imoe7k	176	19	ij	ij	NNP
cord-354953-q1imoe7k	176	20	.	.	.
cord-354953-q1imoe7k	177	1	Four	four	CD
cord-354953-q1imoe7k	177	2	configurations	configuration	NNS
cord-354953-q1imoe7k	177	3	considering	consider	VBG
cord-354953-q1imoe7k	177	4	only	only	RB
cord-354953-q1imoe7k	177	5	the	the	DT
cord-354953-q1imoe7k	177	6	local	local	JJ
cord-354953-q1imoe7k	177	7	contagion	contagion	NN
cord-354953-q1imoe7k	177	8	are	be	VBP
cord-354953-q1imoe7k	177	9	shown	show	VBN
cord-354953-q1imoe7k	177	10	in	in	IN
cord-354953-q1imoe7k	177	11	Figure	figure	NN
cord-354953-q1imoe7k	177	12	3	3	CD
cord-354953-q1imoe7k	177	13	:	:	:
cord-354953-q1imoe7k	177	14	those	those	DT
cord-354953-q1imoe7k	177	15	at	at	IN
cord-354953-q1imoe7k	177	16	the	the	DT
cord-354953-q1imoe7k	177	17	steps	step	NNS
cord-354953-q1imoe7k	177	18	of	of	IN
cord-354953-q1imoe7k	177	19	time	time	NN
cord-354953-q1imoe7k	177	20	t=0	t=0	NNS
cord-354953-q1imoe7k	177	21	,	,	,
cord-354953-q1imoe7k	177	22	10	10	CD
cord-354953-q1imoe7k	177	23	,	,	,
cord-354953-q1imoe7k	177	24	50	50	CD
cord-354953-q1imoe7k	177	25	,	,	,
cord-354953-q1imoe7k	177	26	100	100	CD
cord-354953-q1imoe7k	177	27	days	day	NNS
cord-354953-q1imoe7k	177	28	.	.	.
cord-354953-q1imoe7k	178	1	The	the	DT
cord-354953-q1imoe7k	178	2	curves	curve	NNS
cord-354953-q1imoe7k	178	3	that	that	WDT
cord-354953-q1imoe7k	178	4	depict	depict	VBP
cord-354953-q1imoe7k	178	5	the	the	DT
cord-354953-q1imoe7k	178	6	numbers	number	NNS
cord-354953-q1imoe7k	178	7	of	of	IN
cord-354953-q1imoe7k	178	8	Susceptible	susceptible	JJ
cord-354953-q1imoe7k	178	9	,	,	,
cord-354953-q1imoe7k	178	10	Infective	Infective	NNP
cord-354953-q1imoe7k	178	11	and	and	CC
cord-354953-q1imoe7k	178	12	Recovered	recover	VBN
cord-354953-q1imoe7k	178	13	change	change	NN
cord-354953-q1imoe7k	178	14	according	accord	VBG
cord-354953-q1imoe7k	178	15	to	to	IN
cord-354953-q1imoe7k	178	16	the	the	DT
cord-354953-q1imoe7k	178	17	steps	step	NNS
cord-354953-q1imoe7k	178	18	of	of	IN
cord-354953-q1imoe7k	178	19	time	time	NN
cord-354953-q1imoe7k	178	20	are	be	VBP
cord-354953-q1imoe7k	178	21	shown	show	VBN
cord-354953-q1imoe7k	178	22	in	in	IN
cord-354953-q1imoe7k	178	23	Figure	Figure	NNP
cord-354953-q1imoe7k	178	24	4	4	CD
cord-354953-q1imoe7k	178	25	.	.	.
cord-354953-q1imoe7k	179	1	As	as	IN
cord-354953-q1imoe7k	179	2	seen	see	VBN
cord-354953-q1imoe7k	179	3	,	,	,
cord-354953-q1imoe7k	179	4	the	the	DT
cord-354953-q1imoe7k	179	5	spread	spread	NN
cord-354953-q1imoe7k	179	6	will	will	MD
cord-354953-q1imoe7k	179	7	arrive	arrive	VB
cord-354953-q1imoe7k	179	8	at	at	IN
cord-354953-q1imoe7k	179	9	a	a	DT
cord-354953-q1imoe7k	179	10	global	global	JJ
cord-354953-q1imoe7k	179	11	stationary	stationary	JJ
cord-354953-q1imoe7k	179	12	state	state	NN
cord-354953-q1imoe7k	179	13	,	,	,
cord-354953-q1imoe7k	179	14	i.e.	i.e.	FW
cord-354953-q1imoe7k	179	15	,	,	,
cord-354953-q1imoe7k	179	16	the	the	DT
cord-354953-q1imoe7k	179	17	numbers	number	NNS
cord-354953-q1imoe7k	179	18	of	of	IN
cord-354953-q1imoe7k	179	19	the	the	DT
cord-354953-q1imoe7k	179	20	individuals	individual	NNS
cord-354953-q1imoe7k	179	21	of	of	IN
cord-354953-q1imoe7k	179	22	every	every	DT
cord-354953-q1imoe7k	179	23	subclass	subclass	NN
cord-354953-q1imoe7k	179	24	will	will	MD
cord-354953-q1imoe7k	179	25	not	not	RB
cord-354953-q1imoe7k	179	26	change	change	VB
cord-354953-q1imoe7k	179	27	any	any	DT
cord-354953-q1imoe7k	179	28	more	more	JJR
cord-354953-q1imoe7k	179	29	after	after	IN
cord-354953-q1imoe7k	179	30	a	a	DT
cord-354953-q1imoe7k	179	31	long	long	JJ
cord-354953-q1imoe7k	179	32	period	period	NN
cord-354953-q1imoe7k	179	33	.	.	.
cord-354953-q1imoe7k	180	1	Furthermore	furthermore	RB
cord-354953-q1imoe7k	180	2	,	,	,
cord-354953-q1imoe7k	180	3	by	by	IN
cord-354953-q1imoe7k	180	4	comparing	compare	VBG
cord-354953-q1imoe7k	180	5	Figure	Figure	NNP
cord-354953-q1imoe7k	180	6	 	 	_SP
cord-354953-q1imoe7k	180	7	3	3	CD
cord-354953-q1imoe7k	180	8	(	(	-LRB-
cord-354953-q1imoe7k	180	9	c	c	NN
cord-354953-q1imoe7k	180	10	)	)	-RRB-
cord-354953-q1imoe7k	180	11	with	with	IN
cord-354953-q1imoe7k	180	12	Figure	figure	NN
cord-354953-q1imoe7k	180	13	3	3	CD
cord-354953-q1imoe7k	180	14	(	(	-LRB-
cord-354953-q1imoe7k	180	15	d	d	NNP
cord-354953-q1imoe7k	180	16	)	)	-RRB-
cord-354953-q1imoe7k	180	17	,	,	,
cord-354953-q1imoe7k	180	18	we	-PRON-	PRP
cord-354953-q1imoe7k	180	19	found	find	VBD
cord-354953-q1imoe7k	180	20	that	that	IN
cord-354953-q1imoe7k	180	21	the	the	DT
cord-354953-q1imoe7k	180	22	local	local	JJ
cord-354953-q1imoe7k	180	23	stationary	stationary	JJ
cord-354953-q1imoe7k	180	24	state	state	NN
cord-354953-q1imoe7k	180	25	is	be	VBZ
cord-354953-q1imoe7k	180	26	also	also	RB
cord-354953-q1imoe7k	180	27	reached	reach	VBN
cord-354953-q1imoe7k	180	28	(	(	-LRB-
cord-354953-q1imoe7k	180	29	the	the	DT
cord-354953-q1imoe7k	180	30	proportions	proportion	NNS
cord-354953-q1imoe7k	180	31	of	of	IN
cord-354953-q1imoe7k	180	32	the	the	DT
cord-354953-q1imoe7k	180	33	individuals	individual	NNS
cord-354953-q1imoe7k	180	34	of	of	IN
cord-354953-q1imoe7k	180	35	each	each	DT
cord-354953-q1imoe7k	180	36	subclass	subclass	NN
cord-354953-q1imoe7k	180	37	are	be	VBP
cord-354953-q1imoe7k	180	38	nearly	nearly	RB
cord-354953-q1imoe7k	180	39	same	same	JJ
cord-354953-q1imoe7k	180	40	in	in	IN
cord-354953-q1imoe7k	180	41	the	the	DT
cord-354953-q1imoe7k	180	42	two	two	CD
cord-354953-q1imoe7k	180	43	configurations	configuration	NNS
cord-354953-q1imoe7k	180	44	)	)	-RRB-
cord-354953-q1imoe7k	180	45	.	.	.
cord-354953-q1imoe7k	181	1	Through	through	IN
cord-354953-q1imoe7k	181	2	running	run	VBG
cord-354953-q1imoe7k	181	3	the	the	DT
cord-354953-q1imoe7k	181	4	simulation	simulation	NN
cord-354953-q1imoe7k	181	5	program	program	NN
cord-354953-q1imoe7k	181	6	with	with	IN
cord-354953-q1imoe7k	181	7	different	different	JJ
cord-354953-q1imoe7k	181	8	values	value	NNS
cord-354953-q1imoe7k	181	9	of	of	IN
cord-354953-q1imoe7k	181	10	λ(q	λ(q	NN
cord-354953-q1imoe7k	181	11	)	)	-RRB-
cord-354953-q1imoe7k	181	12	and	and	CC
cord-354953-q1imoe7k	181	13	initial	initial	JJ
cord-354953-q1imoe7k	181	14	configurations	configuration	NNS
cord-354953-q1imoe7k	181	15	,	,	,
cord-354953-q1imoe7k	181	16	we	-PRON-	PRP
cord-354953-q1imoe7k	181	17	also	also	RB
cord-354953-q1imoe7k	181	18	found	find	VBD
cord-354953-q1imoe7k	181	19	that	that	IN
cord-354953-q1imoe7k	181	20	a	a	DT
cord-354953-q1imoe7k	181	21	threshold	threshold	NN
cord-354953-q1imoe7k	181	22	λ	λ	NN
cord-354953-q1imoe7k	181	23	0	0	CD
cord-354953-q1imoe7k	181	24	exists	exist	VBZ
cord-354953-q1imoe7k	181	25	.	.	.
cord-354953-q1imoe7k	182	1	When	when	WRB
cord-354953-q1imoe7k	182	2	λ(q)>λ	λ(q)>λ	NNP
cord-354953-q1imoe7k	182	3	0	0	NFP
cord-354953-q1imoe7k	182	4	,	,	,
cord-354953-q1imoe7k	182	5	the	the	DT
cord-354953-q1imoe7k	182	6	prevalence	prevalence	NN
cord-354953-q1imoe7k	182	7	can	can	MD
cord-354953-q1imoe7k	182	8	hold	hold	VB
cord-354953-q1imoe7k	182	9	and	and	CC
cord-354953-q1imoe7k	182	10	arrive	arrive	VB
cord-354953-q1imoe7k	182	11	at	at	IN
cord-354953-q1imoe7k	182	12	a	a	DT
cord-354953-q1imoe7k	182	13	stationary	stationary	JJ
cord-354953-q1imoe7k	182	14	state	state	NN
cord-354953-q1imoe7k	182	15	finally	finally	RB
cord-354953-q1imoe7k	182	16	.	.	.
cord-354953-q1imoe7k	183	1	However	however	RB
cord-354953-q1imoe7k	183	2	,	,	,
cord-354953-q1imoe7k	183	3	when	when	WRB
cord-354953-q1imoe7k	183	4	λ(q)<λ	λ(q)<λ	NNP
cord-354953-q1imoe7k	183	5	0	0	CD
cord-354953-q1imoe7k	183	6	,	,	,
cord-354953-q1imoe7k	183	7	the	the	DT
cord-354953-q1imoe7k	183	8	prevalence	prevalence	NN
cord-354953-q1imoe7k	183	9	can	can	MD
cord-354953-q1imoe7k	183	10	not	not	RB
cord-354953-q1imoe7k	183	11	persist	persist	VB
cord-354953-q1imoe7k	183	12	.	.	.
cord-354953-q1imoe7k	184	1	The	the	DT
cord-354953-q1imoe7k	184	2	final	final	JJ
cord-354953-q1imoe7k	184	3	state	state	NN
cord-354953-q1imoe7k	184	4	(	(	-LRB-
cord-354953-q1imoe7k	184	5	whether	whether	IN
cord-354953-q1imoe7k	184	6	stationary	stationary	JJ
cord-354953-q1imoe7k	184	7	or	or	CC
cord-354953-q1imoe7k	184	8	not	not	RB
cord-354953-q1imoe7k	184	9	)	)	-RRB-
cord-354953-q1imoe7k	184	10	has	have	VBZ
cord-354953-q1imoe7k	184	11	nothing	nothing	NN
cord-354953-q1imoe7k	184	12	to	to	TO
cord-354953-q1imoe7k	184	13	do	do	VB
cord-354953-q1imoe7k	184	14	with	with	IN
cord-354953-q1imoe7k	184	15	the	the	DT
cord-354953-q1imoe7k	184	16	initial	initial	JJ
cord-354953-q1imoe7k	184	17	configuration	configuration	NN
cord-354953-q1imoe7k	184	18	.	.	.
cord-354953-q1imoe7k	185	1	In	in	IN
cord-354953-q1imoe7k	185	2	this	this	DT
cord-354953-q1imoe7k	185	3	case	case	NN
cord-354953-q1imoe7k	185	4	of	of	IN
cord-354953-q1imoe7k	185	5	simulation	simulation	NN
cord-354953-q1imoe7k	185	6	,	,	,
cord-354953-q1imoe7k	185	7	the	the	DT
cord-354953-q1imoe7k	185	8	spread	spread	NN
cord-354953-q1imoe7k	185	9	presents	present	VBZ
cord-354953-q1imoe7k	185	10	a	a	DT
cord-354953-q1imoe7k	185	11	typical	typical	JJ
cord-354953-q1imoe7k	185	12	character	character	NN
cord-354953-q1imoe7k	185	13	of	of	IN
cord-354953-q1imoe7k	185	14	local	local	JJ
cord-354953-q1imoe7k	185	15	diffusion	diffusion	NN
cord-354953-q1imoe7k	185	16	.	.	.
cord-354953-q1imoe7k	186	1	The	the	DT
cord-354953-q1imoe7k	186	2	second	second	JJ
cord-354953-q1imoe7k	186	3	case	case	NN
cord-354953-q1imoe7k	186	4	of	of	IN
cord-354953-q1imoe7k	186	5	simulation	simulation	NN
cord-354953-q1imoe7k	186	6	considers	consider	VBZ
cord-354953-q1imoe7k	186	7	not	not	RB
cord-354953-q1imoe7k	186	8	only	only	RB
cord-354953-q1imoe7k	186	9	the	the	DT
cord-354953-q1imoe7k	186	10	local	local	JJ
cord-354953-q1imoe7k	186	11	contagion	contagion	NN
cord-354953-q1imoe7k	186	12	but	but	CC
cord-354953-q1imoe7k	186	13	also	also	RB
cord-354953-q1imoe7k	186	14	the	the	DT
cord-354953-q1imoe7k	186	15	global	global	JJ
cord-354953-q1imoe7k	186	16	contagion	contagion	NN
cord-354953-q1imoe7k	186	17	.	.	.
cord-354953-q1imoe7k	187	1	The	the	DT
cord-354953-q1imoe7k	187	2	weights	weight	NNS
cord-354953-q1imoe7k	187	3	are	be	VBP
cord-354953-q1imoe7k	187	4	calculated	calculate	VBN
cord-354953-q1imoe7k	187	5	according	accord	VBG
cord-354953-q1imoe7k	187	6	to	to	IN
cord-354953-q1imoe7k	187	7	the	the	DT
cord-354953-q1imoe7k	187	8	proximityδ	proximityδ	NNP
cord-354953-q1imoe7k	187	9	ij	ij	NNP
cord-354953-q1imoe7k	187	10	(	(	-LRB-
cord-354953-q1imoe7k	187	11	0	0	NFP
cord-354953-q1imoe7k	187	12	,	,	,
cord-354953-q1imoe7k	187	13	not	not	RB
cord-354953-q1imoe7k	187	14	adjacent	adjacent	JJ
cord-354953-q1imoe7k	187	15	;	;	:
cord-354953-q1imoe7k	187	16	1	1	CD
cord-354953-q1imoe7k	187	17	,	,	,
cord-354953-q1imoe7k	187	18	adjacent	adjacent	JJ
cord-354953-q1imoe7k	187	19	)	)	-RRB-
cord-354953-q1imoe7k	187	20	and	and	CC
cord-354953-q1imoe7k	187	21	the	the	DT
cord-354953-q1imoe7k	187	22	number	number	NN
cord-354953-q1imoe7k	187	23	of	of	IN
cord-354953-q1imoe7k	187	24	road	road	NN
cord-354953-q1imoe7k	187	25	links	link	NNS
cord-354953-q1imoe7k	187	26	n	n	NNP
cord-354953-q1imoe7k	187	27	ij	ij	NN
cord-354953-q1imoe7k	187	28	between	between	IN
cord-354953-q1imoe7k	187	29	two	two	CD
cord-354953-q1imoe7k	187	30	regions	region	NNS
cord-354953-q1imoe7k	187	31	(	(	-LRB-
cord-354953-q1imoe7k	187	32	eq	eq	NNP
cord-354953-q1imoe7k	187	33	.	.	.
cord-354953-q1imoe7k	188	1	(	(	-LRB-
cord-354953-q1imoe7k	188	2	11	11	CD
cord-354953-q1imoe7k	188	3	)	)	-RRB-
cord-354953-q1imoe7k	188	4	Figure	figure	NN
cord-354953-q1imoe7k	188	5	5	5	CD
cord-354953-q1imoe7k	188	6	.	.	.
cord-354953-q1imoe7k	189	1	Figures	figure	NNS
cord-354953-q1imoe7k	189	2	6	6	CD
cord-354953-q1imoe7k	189	3	and	and	CC
cord-354953-q1imoe7k	189	4	7	7	CD
cord-354953-q1imoe7k	189	5	show	show	VBP
cord-354953-q1imoe7k	189	6	the	the	DT
cord-354953-q1imoe7k	189	7	change	change	NN
cord-354953-q1imoe7k	189	8	curves	curve	NNS
cord-354953-q1imoe7k	189	9	of	of	IN
cord-354953-q1imoe7k	189	10	the	the	DT
cord-354953-q1imoe7k	189	11	numbers	number	NNS
cord-354953-q1imoe7k	189	12	with	with	IN
cord-354953-q1imoe7k	189	13	different	different	JJ
cord-354953-q1imoe7k	189	14	BECR	BECR	NNP
cord-354953-q1imoe7k	189	15	under	under	IN
cord-354953-q1imoe7k	189	16	the	the	DT
cord-354953-q1imoe7k	189	17	local	local	JJ
cord-354953-q1imoe7k	189	18	and	and	CC
cord-354953-q1imoe7k	189	19	the	the	DT
cord-354953-q1imoe7k	189	20	global	global	JJ
cord-354953-q1imoe7k	189	21	contagions	contagion	NNS
cord-354953-q1imoe7k	189	22	respectively	respectively	RB
cord-354953-q1imoe7k	189	23	.	.	.
cord-354953-q1imoe7k	190	1	Comparing	compare	VBG
cord-354953-q1imoe7k	190	2	the	the	DT
cord-354953-q1imoe7k	190	3	two	two	CD
cord-354953-q1imoe7k	190	4	figures	figure	NNS
cord-354953-q1imoe7k	190	5	,	,	,
cord-354953-q1imoe7k	190	6	we	-PRON-	PRP
cord-354953-q1imoe7k	190	7	found	find	VBD
cord-354953-q1imoe7k	190	8	that	that	IN
cord-354953-q1imoe7k	190	9	a	a	DT
cord-354953-q1imoe7k	190	10	threshold	threshold	NN
cord-354953-q1imoe7k	190	11	also	also	RB
cord-354953-q1imoe7k	190	12	exists	exist	VBZ
cord-354953-q1imoe7k	190	13	but	but	CC
cord-354953-q1imoe7k	190	14	the	the	DT
cord-354953-q1imoe7k	190	15	threshold	threshold	NN
cord-354953-q1imoe7k	190	16	is	be	VBZ
cord-354953-q1imoe7k	190	17	slightly	slightly	RB
cord-354953-q1imoe7k	190	18	lower	low	JJR
cord-354953-q1imoe7k	190	19	when	when	WRB
cord-354953-q1imoe7k	190	20	considering	consider	VBG
cord-354953-q1imoe7k	190	21	the	the	DT
cord-354953-q1imoe7k	190	22	global	global	JJ
cord-354953-q1imoe7k	190	23	contagion	contagion	NN
cord-354953-q1imoe7k	190	24	.	.	.
cord-354953-q1imoe7k	191	1	With	with	IN
cord-354953-q1imoe7k	191	2	same	same	JJ
cord-354953-q1imoe7k	191	3	BECR	BECR	NNP
cord-354953-q1imoe7k	191	4	,	,	,
cord-354953-q1imoe7k	191	5	the	the	DT
cord-354953-q1imoe7k	191	6	spread	spread	NN
cord-354953-q1imoe7k	191	7	with	with	IN
cord-354953-q1imoe7k	191	8	the	the	DT
cord-354953-q1imoe7k	191	9	global	global	JJ
cord-354953-q1imoe7k	191	10	contagion	contagion	NN
cord-354953-q1imoe7k	191	11	is	be	VBZ
cord-354953-q1imoe7k	191	12	faster	fast	JJR
cord-354953-q1imoe7k	191	13	and	and	CC
cord-354953-q1imoe7k	191	14	the	the	DT
cord-354953-q1imoe7k	191	15	number	number	NN
cord-354953-q1imoe7k	191	16	of	of	IN
cord-354953-q1imoe7k	191	17	Infective	Infective	NNP
cord-354953-q1imoe7k	191	18	under	under	IN
cord-354953-q1imoe7k	191	19	the	the	DT
cord-354953-q1imoe7k	191	20	stationary	stationary	JJ
cord-354953-q1imoe7k	191	21	state	state	NN
cord-354953-q1imoe7k	191	22	is	be	VBZ
cord-354953-q1imoe7k	191	23	more	more	JJR
cord-354953-q1imoe7k	191	24	.	.	.
cord-354953-q1imoe7k	192	1	In	in	IN
cord-354953-q1imoe7k	192	2	fact	fact	NN
cord-354953-q1imoe7k	192	3	,	,	,
cord-354953-q1imoe7k	192	4	with	with	IN
cord-354953-q1imoe7k	192	5	more	more	JJR
cord-354953-q1imoe7k	192	6	and	and	CC
cord-354953-q1imoe7k	192	7	more	more	RBR
cord-354953-q1imoe7k	192	8	complex	complex	JJ
cord-354953-q1imoe7k	192	9	road	road	NN
cord-354953-q1imoe7k	192	10	links	link	NNS
cord-354953-q1imoe7k	192	11	,	,	,
cord-354953-q1imoe7k	192	12	correspondingly	correspondingly	RB
cord-354953-q1imoe7k	192	13	the	the	DT
cord-354953-q1imoe7k	192	14	threshold	threshold	NN
cord-354953-q1imoe7k	192	15	is	be	VBZ
cord-354953-q1imoe7k	192	16	getting	get	VBG
cord-354953-q1imoe7k	192	17	progressively	progressively	RB
cord-354953-q1imoe7k	192	18	lower	low	JJR
cord-354953-q1imoe7k	192	19	.	.	.
cord-354953-q1imoe7k	193	1	With	with	IN
cord-354953-q1imoe7k	193	2	the	the	DT
cord-354953-q1imoe7k	193	3	global	global	JJ
cord-354953-q1imoe7k	193	4	contagion	contagion	NN
cord-354953-q1imoe7k	193	5	,	,	,
cord-354953-q1imoe7k	193	6	the	the	DT
cord-354953-q1imoe7k	193	7	spread	spread	NN
cord-354953-q1imoe7k	193	8	shows	show	VBZ
cord-354953-q1imoe7k	193	9	aggression	aggression	NN
cord-354953-q1imoe7k	193	10	along	along	IN
cord-354953-q1imoe7k	193	11	transportation	transportation	NN
cord-354953-q1imoe7k	193	12	lines	line	NNS
cord-354953-q1imoe7k	193	13	.	.	.
cord-354953-q1imoe7k	194	1	In	in	IN
cord-354953-q1imoe7k	194	2	the	the	DT
cord-354953-q1imoe7k	194	3	third	third	JJ
cord-354953-q1imoe7k	194	4	case	case	NN
cord-354953-q1imoe7k	194	5	of	of	IN
cord-354953-q1imoe7k	194	6	simulation	simulation	NN
cord-354953-q1imoe7k	194	7	,	,	,
cord-354953-q1imoe7k	194	8	we	-PRON-	PRP
cord-354953-q1imoe7k	194	9	consider	consider	VBP
cord-354953-q1imoe7k	194	10	the	the	DT
cord-354953-q1imoe7k	194	11	isolation	isolation	NN
cord-354953-q1imoe7k	194	12	of	of	IN
cord-354953-q1imoe7k	194	13	individuals	individual	NNS
cord-354953-q1imoe7k	194	14	after	after	IN
cord-354953-q1imoe7k	194	15	they	-PRON-	PRP
cord-354953-q1imoe7k	194	16	are	be	VBP
cord-354953-q1imoe7k	194	17	infected	infect	VBN
cord-354953-q1imoe7k	194	18	.	.	.
cord-354953-q1imoe7k	195	1	The	the	DT
cord-354953-q1imoe7k	195	2	operation	operation	NN
cord-354953-q1imoe7k	195	3	of	of	IN
cord-354953-q1imoe7k	195	4	isolation	isolation	NN
cord-354953-q1imoe7k	195	5	is	be	VBZ
cord-354953-q1imoe7k	195	6	equivalent	equivalent	JJ
cord-354953-q1imoe7k	195	7	to	to	IN
cord-354953-q1imoe7k	195	8	lowering	lower	VBG
cord-354953-q1imoe7k	195	9	the	the	DT
cord-354953-q1imoe7k	195	10	density	density	NN
cord-354953-q1imoe7k	195	11	of	of	IN
cord-354953-q1imoe7k	195	12	Infective	Infective	NNP
cord-354953-q1imoe7k	195	13	distribution	distribution	NN
cord-354953-q1imoe7k	195	14	in	in	IN
cord-354953-q1imoe7k	195	15	regions	region	NNS
cord-354953-q1imoe7k	195	16	.	.	.
cord-354953-q1imoe7k	196	1	At	at	IN
cord-354953-q1imoe7k	196	2	every	every	DT
cord-354953-q1imoe7k	196	3	step	step	NN
cord-354953-q1imoe7k	196	4	of	of	IN
cord-354953-q1imoe7k	196	5	time	time	NN
cord-354953-q1imoe7k	196	6	,	,	,
cord-354953-q1imoe7k	196	7	the	the	DT
cord-354953-q1imoe7k	196	8	individuals	individual	NNS
cord-354953-q1imoe7k	196	9	meeting	meet	VBG
cord-354953-q1imoe7k	196	10	the	the	DT
cord-354953-q1imoe7k	196	11	conditions	condition	NNS
cord-354953-q1imoe7k	196	12	of	of	IN
cord-354953-q1imoe7k	196	13	isolation	isolation	NN
cord-354953-q1imoe7k	196	14	are	be	VBP
cord-354953-q1imoe7k	196	15	removed	remove	VBN
cord-354953-q1imoe7k	196	16	from	from	IN
cord-354953-q1imoe7k	196	17	Infective	Infective	NNP
cord-354953-q1imoe7k	196	18	in	in	IN
cord-354953-q1imoe7k	196	19	a	a	DT
cord-354953-q1imoe7k	196	20	region	region	NN
cord-354953-q1imoe7k	196	21	and	and	CC
cord-354953-q1imoe7k	196	22	the	the	DT
cord-354953-q1imoe7k	196	23	density	density	NN
cord-354953-q1imoe7k	196	24	of	of	IN
cord-354953-q1imoe7k	196	25	Infective	Infective	NNP
cord-354953-q1imoe7k	196	26	distribution	distribution	NN
cord-354953-q1imoe7k	196	27	is	be	VBZ
cord-354953-q1imoe7k	196	28	calculated	calculate	VBN
cord-354953-q1imoe7k	196	29	dynamically	dynamically	RB
cord-354953-q1imoe7k	196	30	.	.	.
cord-354953-q1imoe7k	197	1	The	the	DT
cord-354953-q1imoe7k	197	2	curves	curve	NNS
cord-354953-q1imoe7k	197	3	with	with	IN
cord-354953-q1imoe7k	197	4	different	different	JJ
cord-354953-q1imoe7k	197	5	isolation	isolation	NN
cord-354953-q1imoe7k	197	6	times	time	NNS
cord-354953-q1imoe7k	197	7	(	(	-LRB-
cord-354953-q1imoe7k	197	8	those	those	DT
cord-354953-q1imoe7k	197	9	on	on	IN
cord-354953-q1imoe7k	197	10	1th	1th	NNP
cord-354953-q1imoe7k	197	11	,	,	,
cord-354953-q1imoe7k	197	12	3th	3th	JJ
cord-354953-q1imoe7k	197	13	,	,	,
cord-354953-q1imoe7k	197	14	5th	5th	JJ
cord-354953-q1imoe7k	197	15	days	day	NNS
cord-354953-q1imoe7k	197	16	after	after	IN
cord-354953-q1imoe7k	197	17	infected	infected	JJ
cord-354953-q1imoe7k	197	18	)	)	-RRB-
cord-354953-q1imoe7k	197	19	are	be	VBP
cord-354953-q1imoe7k	197	20	drawn	draw	VBN
cord-354953-q1imoe7k	197	21	in	in	IN
cord-354953-q1imoe7k	197	22	Figure	Figure	NNP
cord-354953-q1imoe7k	197	23	8	8	CD
cord-354953-q1imoe7k	197	24	.	.	.
cord-354953-q1imoe7k	198	1	As	as	IN
cord-354953-q1imoe7k	198	2	seen	see	VBN
cord-354953-q1imoe7k	198	3	,	,	,
cord-354953-q1imoe7k	198	4	the	the	DT
cord-354953-q1imoe7k	198	5	earlier	early	JJR
cord-354953-q1imoe7k	198	6	isolation	isolation	NN
cord-354953-q1imoe7k	198	7	is	be	VBZ
cord-354953-q1imoe7k	198	8	carried	carry	VBN
cord-354953-q1imoe7k	198	9	out	out	RP
cord-354953-q1imoe7k	198	10	,	,	,
cord-354953-q1imoe7k	198	11	the	the	DT
cord-354953-q1imoe7k	198	12	better	well	JJR
cord-354953-q1imoe7k	198	13	control	control	NN
cord-354953-q1imoe7k	198	14	effort	effort	NN
cord-354953-q1imoe7k	198	15	can	can	MD
cord-354953-q1imoe7k	198	16	be	be	VB
cord-354953-q1imoe7k	198	17	obtained	obtain	VBN
cord-354953-q1imoe7k	198	18	.	.	.
cord-354953-q1imoe7k	199	1	In	in	IN
cord-354953-q1imoe7k	199	2	the	the	DT
cord-354953-q1imoe7k	199	3	forth	forth	JJ
cord-354953-q1imoe7k	199	4	case	case	NN
cord-354953-q1imoe7k	199	5	,	,	,
cord-354953-q1imoe7k	199	6	we	-PRON-	PRP
cord-354953-q1imoe7k	199	7	will	will	MD
cord-354953-q1imoe7k	199	8	simulate	simulate	VB
cord-354953-q1imoe7k	199	9	the	the	DT
cord-354953-q1imoe7k	199	10	effect	effect	NN
cord-354953-q1imoe7k	199	11	of	of	IN
cord-354953-q1imoe7k	199	12	quarantine	quarantine	NN
cord-354953-q1imoe7k	199	13	which	which	WDT
cord-354953-q1imoe7k	199	14	prevents	prevent	VBZ
cord-354953-q1imoe7k	199	15	Infective	Infective	NNP
cord-354953-q1imoe7k	199	16	from	from	IN
cord-354953-q1imoe7k	199	17	moving	move	VBG
cord-354953-q1imoe7k	199	18	among	among	IN
cord-354953-q1imoe7k	199	19	the	the	DT
cord-354953-q1imoe7k	199	20	weighting	weighting	NN
cord-354953-q1imoe7k	199	21	function	function	NN
cord-354953-q1imoe7k	199	22	in	in	IN
cord-354953-q1imoe7k	199	23	eq	eq	NNP
cord-354953-q1imoe7k	199	24	.	.	.
cord-354953-q1imoe7k	200	1	(	(	-LRB-
cord-354953-q1imoe7k	200	2	11	11	CD
cord-354953-q1imoe7k	200	3	)	)	-RRB-
cord-354953-q1imoe7k	200	4	into	into	IN
cord-354953-q1imoe7k	200	5	the	the	DT
cord-354953-q1imoe7k	200	6	following	follow	VBG
cord-354953-q1imoe7k	200	7	form	form	NN
cord-354953-q1imoe7k	200	8	:	:	:
cord-354953-q1imoe7k	200	9	Figure	figure	NN
cord-354953-q1imoe7k	200	10	9	9	CD
cord-354953-q1imoe7k	200	11	illustrates	illustrate	VBZ
cord-354953-q1imoe7k	200	12	the	the	DT
cord-354953-q1imoe7k	200	13	curves	curve	NNS
cord-354953-q1imoe7k	200	14	of	of	IN
cord-354953-q1imoe7k	200	15	the	the	DT
cord-354953-q1imoe7k	200	16	number	number	NN
cord-354953-q1imoe7k	200	17	of	of	IN
cord-354953-q1imoe7k	200	18	Infective	Infective	NNP
cord-354953-q1imoe7k	200	19	with	with	IN
cord-354953-q1imoe7k	200	20	different	different	JJ
cord-354953-q1imoe7k	200	21	ω	ω	NN
cord-354953-q1imoe7k	200	22	.	.	.
cord-354953-q1imoe7k	201	1	The	the	DT
cord-354953-q1imoe7k	201	2	curves	curve	NNS
cord-354953-q1imoe7k	201	3	show	show	VBP
cord-354953-q1imoe7k	201	4	that	that	IN
cord-354953-q1imoe7k	201	5	when	when	WRB
cord-354953-q1imoe7k	201	6	the	the	DT
cord-354953-q1imoe7k	201	7	quarantine	quarantine	NN
cord-354953-q1imoe7k	201	8	strength	strength	NN
cord-354953-q1imoe7k	201	9	ω	ω	NN
cord-354953-q1imoe7k	201	10	is	be	VBZ
cord-354953-q1imoe7k	201	11	getting	get	VBG
cord-354953-q1imoe7k	201	12	higher	high	JJR
cord-354953-q1imoe7k	201	13	and	and	CC
cord-354953-q1imoe7k	201	14	higher	high	JJR
cord-354953-q1imoe7k	201	15	,	,	,
cord-354953-q1imoe7k	201	16	the	the	DT
cord-354953-q1imoe7k	201	17	number	number	NN
cord-354953-q1imoe7k	201	18	of	of	IN
cord-354953-q1imoe7k	201	19	Infective	Infective	NNP
cord-354953-q1imoe7k	201	20	under	under	IN
cord-354953-q1imoe7k	201	21	stationarity	stationarity	NN
cord-354953-q1imoe7k	201	22	is	be	VBZ
cord-354953-q1imoe7k	201	23	getting	get	VBG
cord-354953-q1imoe7k	201	24	lower	low	JJR
cord-354953-q1imoe7k	201	25	and	and	CC
cord-354953-q1imoe7k	201	26	lower	low	JJR
cord-354953-q1imoe7k	201	27	.	.	.
cord-354953-q1imoe7k	202	1	Nevertheless	nevertheless	RB
cord-354953-q1imoe7k	202	2	,	,	,
cord-354953-q1imoe7k	202	3	as	as	IN
cord-354953-q1imoe7k	202	4	ω	ω	NN
cord-354953-q1imoe7k	202	5	increases	increase	NNS
cord-354953-q1imoe7k	202	6	,	,	,
cord-354953-q1imoe7k	202	7	the	the	DT
cord-354953-q1imoe7k	202	8	decrease	decrease	NN
cord-354953-q1imoe7k	202	9	of	of	IN
cord-354953-q1imoe7k	202	10	the	the	DT
cord-354953-q1imoe7k	202	11	number	number	NN
cord-354953-q1imoe7k	202	12	of	of	IN
cord-354953-q1imoe7k	202	13	final	final	JJ
cord-354953-q1imoe7k	202	14	infected	infected	JJ
cord-354953-q1imoe7k	202	15	individuals	individual	NNS
cord-354953-q1imoe7k	202	16	is	be	VBZ
cord-354953-q1imoe7k	202	17	not	not	RB
cord-354953-q1imoe7k	202	18	remarkable	remarkable	JJ
cord-354953-q1imoe7k	202	19	.	.	.
cord-354953-q1imoe7k	203	1	The	the	DT
cord-354953-q1imoe7k	203	2	reason	reason	NN
cord-354953-q1imoe7k	203	3	is	be	VBZ
cord-354953-q1imoe7k	203	4	that	that	IN
cord-354953-q1imoe7k	203	5	the	the	DT
cord-354953-q1imoe7k	203	6	weights	weight	NNS
cord-354953-q1imoe7k	203	7	assigned	assign	VBN
cord-354953-q1imoe7k	203	8	for	for	IN
cord-354953-q1imoe7k	203	9	region	region	NN
cord-354953-q1imoe7k	203	10	pairs	pair	NNS
cord-354953-q1imoe7k	203	11	without	without	IN
cord-354953-q1imoe7k	203	12	road	road	NN
cord-354953-q1imoe7k	203	13	links	link	NNS
cord-354953-q1imoe7k	203	14	between	between	IN
cord-354953-q1imoe7k	203	15	them	-PRON-	PRP
cord-354953-q1imoe7k	203	16	are	be	VBP
cord-354953-q1imoe7k	203	17	comparatively	comparatively	RB
cord-354953-q1imoe7k	203	18	high	high	JJ
cord-354953-q1imoe7k	203	19	.	.	.
cord-354953-q1imoe7k	204	1	And	and	CC
cord-354953-q1imoe7k	204	2	yet	yet	RB
cord-354953-q1imoe7k	204	3	the	the	DT
cord-354953-q1imoe7k	204	4	quarantine	quarantine	NN
cord-354953-q1imoe7k	204	5	for	for	IN
cord-354953-q1imoe7k	204	6	this	this	DT
cord-354953-q1imoe7k	204	7	situation	situation	NN
cord-354953-q1imoe7k	204	8	is	be	VBZ
cord-354953-q1imoe7k	204	9	not	not	RB
cord-354953-q1imoe7k	204	10	considered	consider	VBN
cord-354953-q1imoe7k	204	11	in	in	IN
cord-354953-q1imoe7k	204	12	this	this	DT
cord-354953-q1imoe7k	204	13	case	case	NN
cord-354953-q1imoe7k	204	14	of	of	IN
cord-354953-q1imoe7k	204	15	simulation	simulation	NN
cord-354953-q1imoe7k	204	16	.	.	.
cord-354953-q1imoe7k	205	1	Imaginably	Imaginably	NNP
cord-354953-q1imoe7k	205	2	,	,	,
cord-354953-q1imoe7k	205	3	given	give	VBN
cord-354953-q1imoe7k	205	4	this	this	DT
cord-354953-q1imoe7k	205	5	kind	kind	NN
cord-354953-q1imoe7k	205	6	of	of	IN
cord-354953-q1imoe7k	205	7	quarantine	quarantine	NN
cord-354953-q1imoe7k	205	8	or	or	CC
cord-354953-q1imoe7k	205	9	equivalent	equivalent	JJ
cord-354953-q1imoe7k	205	10	(	(	-LRB-
cord-354953-q1imoe7k	205	11	e.g.	e.g.	RB
cord-354953-q1imoe7k	205	12	,	,	,
cord-354953-q1imoe7k	205	13	refrain	refrain	VB
cord-354953-q1imoe7k	205	14	the	the	DT
cord-354953-q1imoe7k	205	15	interaction	interaction	NN
cord-354953-q1imoe7k	205	16	between	between	IN
cord-354953-q1imoe7k	205	17	two	two	CD
cord-354953-q1imoe7k	205	18	adjacent	adjacent	JJ
cord-354953-q1imoe7k	205	19	regions	region	NNS
cord-354953-q1imoe7k	205	20	)	)	-RRB-
cord-354953-q1imoe7k	205	21	,	,	,
cord-354953-q1imoe7k	205	22	the	the	DT
cord-354953-q1imoe7k	205	23	number	number	NN
cord-354953-q1imoe7k	205	24	under	under	IN
cord-354953-q1imoe7k	205	25	stationarity	stationarity	NN
cord-354953-q1imoe7k	205	26	will	will	MD
cord-354953-q1imoe7k	205	27	decrease	decrease	VB
cord-354953-q1imoe7k	205	28	greatly	greatly	RB
cord-354953-q1imoe7k	205	29	.	.	.
cord-354953-q1imoe7k	205	30	 	 	_SP
cord-354953-q1imoe7k	206	1	In	in	IN
cord-354953-q1imoe7k	206	2	the	the	DT
cord-354953-q1imoe7k	206	3	following	following	JJ
cord-354953-q1imoe7k	206	4	study	study	NN
cord-354953-q1imoe7k	206	5	,	,	,
cord-354953-q1imoe7k	206	6	we	-PRON-	PRP
cord-354953-q1imoe7k	206	7	use	use	VBP
cord-354953-q1imoe7k	206	8	the	the	DT
cord-354953-q1imoe7k	206	9	epidemic	epidemic	NN
cord-354953-q1imoe7k	206	10	data	datum	NNS
cord-354953-q1imoe7k	206	11	of	of	IN
cord-354953-q1imoe7k	206	12	SARS	SARS	NNP
cord-354953-q1imoe7k	206	13	in	in	IN
cord-354953-q1imoe7k	206	14	Beijing	Beijing	NNP
cord-354953-q1imoe7k	206	15	of	of	IN
cord-354953-q1imoe7k	206	16	China	China	NNP
cord-354953-q1imoe7k	206	17	to	to	TO
cord-354953-q1imoe7k	206	18	validate	validate	VB
cord-354953-q1imoe7k	206	19	the	the	DT
cord-354953-q1imoe7k	206	20	proposed	propose	VBN
cord-354953-q1imoe7k	206	21	model	model	NN
cord-354953-q1imoe7k	206	22	in	in	IN
cord-354953-q1imoe7k	206	23	the	the	DT
cord-354953-q1imoe7k	206	24	above	above	JJ
cord-354953-q1imoe7k	206	25	sections	section	NNS
cord-354953-q1imoe7k	206	26	.	.	.
cord-354953-q1imoe7k	207	1	SARS	SARS	NNP
cord-354953-q1imoe7k	207	2	is	be	VBZ
cord-354953-q1imoe7k	207	3	a	a	DT
cord-354953-q1imoe7k	207	4	new	new	JJ
cord-354953-q1imoe7k	207	5	infectious	infectious	JJ
cord-354953-q1imoe7k	207	6	disease	disease	NN
cord-354953-q1imoe7k	207	7	first	first	RB
cord-354953-q1imoe7k	207	8	reported	report	VBD
cord-354953-q1imoe7k	207	9	in	in	IN
cord-354953-q1imoe7k	207	10	November	November	NNP
cord-354953-q1imoe7k	207	11	2002	2002	CD
cord-354953-q1imoe7k	207	12	in	in	IN
cord-354953-q1imoe7k	207	13	the	the	DT
cord-354953-q1imoe7k	207	14	Guangdong	Guangdong	NNP
cord-354953-q1imoe7k	207	15	province	province	NN
cord-354953-q1imoe7k	207	16	of	of	IN
cord-354953-q1imoe7k	207	17	China	China	NNP
cord-354953-q1imoe7k	208	1	(	(	-LRB-
cord-354953-q1imoe7k	208	2	www.who.int/sarsarchive/2003-03-12/en	www.who.int/sarsarchive/2003-03-12/en	NN
cord-354953-q1imoe7k	208	3	)	)	-RRB-
cord-354953-q1imoe7k	208	4	.	.	.
cord-354953-q1imoe7k	209	1	In	in	IN
cord-354953-q1imoe7k	209	2	Beijing	Beijing	NNP
cord-354953-q1imoe7k	209	3	,	,	,
cord-354953-q1imoe7k	209	4	the	the	DT
cord-354953-q1imoe7k	209	5	first	first	JJ
cord-354953-q1imoe7k	209	6	SARS	SARS	NNP
cord-354953-q1imoe7k	209	7	case	case	NN
cord-354953-q1imoe7k	209	8	was	be	VBD
cord-354953-q1imoe7k	209	9	confirmed	confirm	VBN
cord-354953-q1imoe7k	209	10	on	on	IN
cord-354953-q1imoe7k	209	11	March	March	NNP
cord-354953-q1imoe7k	209	12	5	5	CD
cord-354953-q1imoe7k	209	13	,	,	,
cord-354953-q1imoe7k	209	14	2003	2003	CD
cord-354953-q1imoe7k	209	15	.	.	.
cord-354953-q1imoe7k	210	1	From	from	IN
cord-354953-q1imoe7k	210	2	then	then	RB
cord-354953-q1imoe7k	210	3	on	on	RB
cord-354953-q1imoe7k	210	4	,	,	,
cord-354953-q1imoe7k	210	5	SARS	SARS	NNP
cord-354953-q1imoe7k	210	6	spread	spread	VBD
cord-354953-q1imoe7k	210	7	rapidly	rapidly	RB
cord-354953-q1imoe7k	210	8	over	over	IN
cord-354953-q1imoe7k	210	9	the	the	DT
cord-354953-q1imoe7k	210	10	city	city	NN
cord-354953-q1imoe7k	210	11	since	since	IN
cord-354953-q1imoe7k	210	12	people	people	NNS
cord-354953-q1imoe7k	210	13	have	have	VBP
cord-354953-q1imoe7k	210	14	hardly	hardly	RB
cord-354953-q1imoe7k	210	15	recognized	recognize	VBN
cord-354953-q1imoe7k	210	16	SARS	SARS	NNP
cord-354953-q1imoe7k	210	17	and	and	CC
cord-354953-q1imoe7k	210	18	some	some	DT
cord-354953-q1imoe7k	210	19	interventions	intervention	NNS
cord-354953-q1imoe7k	210	20	for	for	IN
cord-354953-q1imoe7k	210	21	prevention	prevention	NN
cord-354953-q1imoe7k	210	22	and	and	CC
cord-354953-q1imoe7k	210	23	control	control	NN
cord-354953-q1imoe7k	210	24	of	of	IN
cord-354953-q1imoe7k	210	25	the	the	DT
cord-354953-q1imoe7k	210	26	disease	disease	NN
cord-354953-q1imoe7k	210	27	have	have	VBP
cord-354953-q1imoe7k	210	28	not	not	RB
cord-354953-q1imoe7k	210	29	been	be	VBN
cord-354953-q1imoe7k	210	30	carried	carry	VBN
cord-354953-q1imoe7k	210	31	out	out	RP
cord-354953-q1imoe7k	210	32	in	in	IN
cord-354953-q1imoe7k	210	33	the	the	DT
cord-354953-q1imoe7k	210	34	early	early	JJ
cord-354953-q1imoe7k	210	35	phase	phase	NN
cord-354953-q1imoe7k	210	36	of	of	IN
cord-354953-q1imoe7k	210	37	the	the	DT
cord-354953-q1imoe7k	210	38	epidemic	epidemic	NN
cord-354953-q1imoe7k	210	39	.	.	.
cord-354953-q1imoe7k	211	1	Here	here	RB
cord-354953-q1imoe7k	211	2	,	,	,
cord-354953-q1imoe7k	211	3	we	-PRON-	PRP
cord-354953-q1imoe7k	211	4	will	will	MD
cord-354953-q1imoe7k	211	5	compare	compare	VB
cord-354953-q1imoe7k	211	6	the	the	DT
cord-354953-q1imoe7k	211	7	execution	execution	NN
cord-354953-q1imoe7k	211	8	results	result	NNS
cord-354953-q1imoe7k	211	9	of	of	IN
cord-354953-q1imoe7k	211	10	the	the	DT
cord-354953-q1imoe7k	211	11	proposed	propose	VBN
cord-354953-q1imoe7k	211	12	model	model	NN
cord-354953-q1imoe7k	211	13	with	with	IN
cord-354953-q1imoe7k	211	14	the	the	DT
cord-354953-q1imoe7k	211	15	real	real	JJ
cord-354953-q1imoe7k	211	16	observed	observed	JJ
cord-354953-q1imoe7k	211	17	disease	disease	NN
cord-354953-q1imoe7k	211	18	data	datum	NNS
cord-354953-q1imoe7k	211	19	.	.	.
cord-354953-q1imoe7k	212	1	In	in	IN
cord-354953-q1imoe7k	212	2	order	order	NN
cord-354953-q1imoe7k	212	3	to	to	TO
cord-354953-q1imoe7k	212	4	reduce	reduce	VB
cord-354953-q1imoe7k	212	5	the	the	DT
cord-354953-q1imoe7k	212	6	bias	bias	NN
cord-354953-q1imoe7k	212	7	caused	cause	VBN
cord-354953-q1imoe7k	212	8	by	by	IN
cord-354953-q1imoe7k	212	9	interventions	intervention	NNS
cord-354953-q1imoe7k	212	10	,	,	,
cord-354953-q1imoe7k	212	11	the	the	DT
cord-354953-q1imoe7k	212	12	disease	disease	NN
cord-354953-q1imoe7k	212	13	data	datum	NNS
cord-354953-q1imoe7k	212	14	from	from	IN
cord-354953-q1imoe7k	212	15	March	March	NNP
cord-354953-q1imoe7k	212	16	5	5	CD
cord-354953-q1imoe7k	212	17	to	to	IN
cord-354953-q1imoe7k	212	18	April	April	NNP
cord-354953-q1imoe7k	212	19	5	5	CD
cord-354953-q1imoe7k	212	20	are	be	VBP
cord-354953-q1imoe7k	212	21	selected	select	VBN
cord-354953-q1imoe7k	212	22	(	(	-LRB-
cord-354953-q1imoe7k	212	23	these	these	DT
cord-354953-q1imoe7k	212	24	data	datum	NNS
cord-354953-q1imoe7k	212	25	are	be	VBP
cord-354953-q1imoe7k	212	26	supposed	suppose	VBN
cord-354953-q1imoe7k	212	27	to	to	TO
cord-354953-q1imoe7k	212	28	be	be	VB
cord-354953-q1imoe7k	212	29	affected	affect	VBN
cord-354953-q1imoe7k	212	30	hardly	hardly	RB
cord-354953-q1imoe7k	212	31	due	due	JJ
cord-354953-q1imoe7k	212	32	to	to	IN
cord-354953-q1imoe7k	212	33	little	little	JJ
cord-354953-q1imoe7k	212	34	interventions	intervention	NNS
cord-354953-q1imoe7k	212	35	such	such	JJ
cord-354953-q1imoe7k	212	36	as	as	IN
cord-354953-q1imoe7k	212	37	isolation	isolation	NN
cord-354953-q1imoe7k	212	38	,	,	,
cord-354953-q1imoe7k	212	39	quarantine	quarantine	NN
cord-354953-q1imoe7k	212	40	and	and	CC
cord-354953-q1imoe7k	212	41	so	so	RB
cord-354953-q1imoe7k	212	42	on	on	RB
cord-354953-q1imoe7k	212	43	)	)	-RRB-
cord-354953-q1imoe7k	212	44	and	and	CC
cord-354953-q1imoe7k	212	45	they	-PRON-	PRP
cord-354953-q1imoe7k	212	46	are	be	VBP
cord-354953-q1imoe7k	212	47	compared	compare	VBN
cord-354953-q1imoe7k	212	48	with	with	IN
cord-354953-q1imoe7k	212	49	the	the	DT
cord-354953-q1imoe7k	212	50	simulating	simulate	VBG
cord-354953-q1imoe7k	212	51	results	result	NNS
cord-354953-q1imoe7k	212	52	from	from	IN
cord-354953-q1imoe7k	212	53	the	the	DT
cord-354953-q1imoe7k	212	54	model	model	NN
cord-354953-q1imoe7k	212	55	.	.	.
cord-354953-q1imoe7k	213	1	The	the	DT
cord-354953-q1imoe7k	213	2	map	map	NN
cord-354953-q1imoe7k	213	3	in	in	IN
cord-354953-q1imoe7k	213	4	Figure	figure	NN
cord-354953-q1imoe7k	213	5	10	10	CD
cord-354953-q1imoe7k	213	6	demonstrates	demonstrate	VBZ
cord-354953-q1imoe7k	213	7	the	the	DT
cord-354953-q1imoe7k	213	8	political	political	JJ
cord-354953-q1imoe7k	213	9	areas	area	NNS
cord-354953-q1imoe7k	213	10	of	of	IN
cord-354953-q1imoe7k	213	11	Beijing	Beijing	NNP
cord-354953-q1imoe7k	213	12	,	,	,
cord-354953-q1imoe7k	213	13	which	which	WDT
cord-354953-q1imoe7k	213	14	are	be	VBP
cord-354953-q1imoe7k	213	15	looked	look	VBN
cord-354953-q1imoe7k	213	16	upon	upon	IN
cord-354953-q1imoe7k	213	17	as	as	IN
cord-354953-q1imoe7k	213	18	cells	cell	NNS
cord-354953-q1imoe7k	213	19	.	.	.
cord-354953-q1imoe7k	214	1	And	and	CC
cord-354953-q1imoe7k	214	2	we	-PRON-	PRP
cord-354953-q1imoe7k	214	3	calculate	calculate	VBP
cord-354953-q1imoe7k	214	4	the	the	DT
cord-354953-q1imoe7k	214	5	distribution	distribution	NN
cord-354953-q1imoe7k	214	6	of	of	IN
cord-354953-q1imoe7k	214	7	Beijing	Beijing	NNP
cord-354953-q1imoe7k	214	8	of	of	IN
cord-354953-q1imoe7k	214	9	2003	2003	CD
cord-354953-q1imoe7k	214	10	by	by	IN
cord-354953-q1imoe7k	214	11	means	mean	NNS
cord-354953-q1imoe7k	214	12	of	of	IN
cord-354953-q1imoe7k	214	13	YUE	YUE	NNP
cord-354953-q1imoe7k	214	14	-	-	HYPH
cord-354953-q1imoe7k	214	15	SMPD	SMPD	NNP
cord-354953-q1imoe7k	214	16	[	[	-LRB-
cord-354953-q1imoe7k	214	17	26	26	CD
cord-354953-q1imoe7k	214	18	]	]	-RRB-
cord-354953-q1imoe7k	214	19	.	.	.
cord-354953-q1imoe7k	215	1	Given	give	VBN
cord-354953-q1imoe7k	215	2	the	the	DT
cord-354953-q1imoe7k	215	3	fact	fact	NN
cord-354953-q1imoe7k	215	4	that	that	IN
cord-354953-q1imoe7k	215	5	the	the	DT
cord-354953-q1imoe7k	215	6	whole	whole	JJ
cord-354953-q1imoe7k	215	7	city	city	NN
cord-354953-q1imoe7k	215	8	is	be	VBZ
cord-354953-q1imoe7k	215	9	connected	connect	VBN
cord-354953-q1imoe7k	215	10	with	with	IN
cord-354953-q1imoe7k	215	11	roads	road	NNS
cord-354953-q1imoe7k	215	12	in	in	IN
cord-354953-q1imoe7k	215	13	length	length	NN
cord-354953-q1imoe7k	215	14	and	and	CC
cord-354953-q1imoe7k	215	15	breadth	breadth	NN
cord-354953-q1imoe7k	215	16	,	,	,
cord-354953-q1imoe7k	215	17	eq	eq	NNP
cord-354953-q1imoe7k	215	18	.	.	.
cord-354953-q1imoe7k	216	1	(	(	-LRB-
cord-354953-q1imoe7k	216	2	13	13	CD
cord-354953-q1imoe7k	216	3	)	)	-RRB-
cord-354953-q1imoe7k	216	4	is	be	VBZ
cord-354953-q1imoe7k	216	5	used	use	VBN
cord-354953-q1imoe7k	216	6	to	to	TO
cord-354953-q1imoe7k	216	7	calculate	calculate	VB
cord-354953-q1imoe7k	216	8	the	the	DT
cord-354953-q1imoe7k	216	9	connection	connection	NN
cord-354953-q1imoe7k	216	10	distance	distance	NN
cord-354953-q1imoe7k	216	11	between	between	IN
cord-354953-q1imoe7k	216	12	two	two	CD
cord-354953-q1imoe7k	216	13	areas	area	NNS
cord-354953-q1imoe7k	216	14	i	i	PRP
cord-354953-q1imoe7k	216	15	and	and	CC
cord-354953-q1imoe7k	216	16	j	j	NNP
cord-354953-q1imoe7k	216	17	:	:	:
cord-354953-q1imoe7k	216	18	where	where	WRB
cord-354953-q1imoe7k	216	19	x	x	NNP
cord-354953-q1imoe7k	216	20	i	i	PRP
cord-354953-q1imoe7k	216	21	,	,	,
cord-354953-q1imoe7k	216	22	y	y	NNP
cord-354953-q1imoe7k	216	23	i	i	NN
cord-354953-q1imoe7k	216	24	;	;	:
cord-354953-q1imoe7k	216	25	x	x	SYM
cord-354953-q1imoe7k	216	26	j	j	NNP
cord-354953-q1imoe7k	216	27	,	,	,
cord-354953-q1imoe7k	216	28	y	y	NNP
cord-354953-q1imoe7k	216	29	j	j	NNP
cord-354953-q1imoe7k	216	30	are	be	VBP
cord-354953-q1imoe7k	216	31	the	the	DT
cord-354953-q1imoe7k	216	32	coordinates	coordinate	NNS
cord-354953-q1imoe7k	216	33	of	of	IN
cord-354953-q1imoe7k	216	34	the	the	DT
cord-354953-q1imoe7k	216	35	centroids	centroid	NNS
cord-354953-q1imoe7k	216	36	of	of	IN
cord-354953-q1imoe7k	216	37	areas	area	NNS
cord-354953-q1imoe7k	217	1	i	i	PRP
cord-354953-q1imoe7k	217	2	,	,	,
cord-354953-q1imoe7k	217	3	j	j	NNP
cord-354953-q1imoe7k	217	4	respectively	respectively	RB
cord-354953-q1imoe7k	217	5	.	.	.
cord-354953-q1imoe7k	218	1	Thus	thus	RB
cord-354953-q1imoe7k	218	2	the	the	DT
cord-354953-q1imoe7k	218	3	connection	connection	NN
cord-354953-q1imoe7k	218	4	factor	factor	NN
cord-354953-q1imoe7k	218	5	between	between	IN
cord-354953-q1imoe7k	218	6	areas	area	NNS
cord-354953-q1imoe7k	219	1	i	i	PRP
cord-354953-q1imoe7k	219	2	and	and	CC
cord-354953-q1imoe7k	219	3	j	j	NNP
cord-354953-q1imoe7k	219	4	can	can	MD
cord-354953-q1imoe7k	219	5	be	be	VB
cord-354953-q1imoe7k	219	6	quantified	quantify	VBN
cord-354953-q1imoe7k	219	7	according	accord	VBG
cord-354953-q1imoe7k	219	8	to	to	IN
cord-354953-q1imoe7k	219	9	eq	eq	NNP
cord-354953-q1imoe7k	219	10	.	.	.
cord-354953-q1imoe7k	219	11	 	 	_SP
cord-354953-q1imoe7k	220	1	where	where	WRB
cord-354953-q1imoe7k	220	2	the	the	DT
cord-354953-q1imoe7k	220	3	unit	unit	NN
cord-354953-q1imoe7k	220	4	for	for	IN
cord-354953-q1imoe7k	220	5	d	d	NNP
cord-354953-q1imoe7k	220	6	ij	ij	NNP
cord-354953-q1imoe7k	220	7	is	be	VBZ
cord-354953-q1imoe7k	220	8	km	km	NN
cord-354953-q1imoe7k	220	9	.	.	.
cord-354953-q1imoe7k	221	1	Based	base	VBN
cord-354953-q1imoe7k	221	2	on	on	IN
cord-354953-q1imoe7k	221	3	the	the	DT
cord-354953-q1imoe7k	221	4	existing	exist	VBG
cord-354953-q1imoe7k	221	5	research	research	NN
cord-354953-q1imoe7k	221	6	[	[	-LRB-
cord-354953-q1imoe7k	221	7	27	27	CD
cord-354953-q1imoe7k	221	8	]	]	-RRB-
cord-354953-q1imoe7k	221	9	[	[	-LRB-
cord-354953-q1imoe7k	221	10	28	28	CD
cord-354953-q1imoe7k	221	11	]	]	-RRB-
cord-354953-q1imoe7k	221	12	[	[	-LRB-
cord-354953-q1imoe7k	221	13	29	29	CD
cord-354953-q1imoe7k	221	14	]	]	-RRB-
cord-354953-q1imoe7k	221	15	[	[	-LRB-
cord-354953-q1imoe7k	221	16	30	30	CD
cord-354953-q1imoe7k	221	17	]	]	-RRB-
cord-354953-q1imoe7k	221	18	[	[	-LRB-
cord-354953-q1imoe7k	221	19	31	31	CD
cord-354953-q1imoe7k	221	20	]	]	-RRB-
cord-354953-q1imoe7k	221	21	[	[	-LRB-
cord-354953-q1imoe7k	221	22	32	32	CD
cord-354953-q1imoe7k	221	23	]	]	-RRB-
cord-354953-q1imoe7k	221	24	,	,	,
cord-354953-q1imoe7k	221	25	T	T	NNP
cord-354953-q1imoe7k	221	26	i	i	NNP
cord-354953-q1imoe7k	221	27	,	,	,
cord-354953-q1imoe7k	221	28	T	T	NNP
cord-354953-q1imoe7k	221	29	p	p	NN
cord-354953-q1imoe7k	221	30	,	,	,
cord-354953-q1imoe7k	221	31	T	T	NNP
cord-354953-q1imoe7k	221	32	l	l	NN
cord-354953-q1imoe7k	221	33	,	,	,
cord-354953-q1imoe7k	221	34	T	T	NNP
cord-354953-q1imoe7k	221	35	r	r	NN
cord-354953-q1imoe7k	221	36	are	be	VBP
cord-354953-q1imoe7k	221	37	assigned	assign	VBN
cord-354953-q1imoe7k	221	38	with	with	IN
cord-354953-q1imoe7k	221	39	the	the	DT
cord-354953-q1imoe7k	221	40	following	follow	VBG
cord-354953-q1imoe7k	221	41	parameters	parameter	NNS
cord-354953-q1imoe7k	221	42	:	:	:
cord-354953-q1imoe7k	221	43	5	5	CD
cord-354953-q1imoe7k	221	44	,	,	,
cord-354953-q1imoe7k	221	45	5	5	CD
cord-354953-q1imoe7k	221	46	,	,	,
cord-354953-q1imoe7k	221	47	7	7	CD
cord-354953-q1imoe7k	221	48	,	,	,
cord-354953-q1imoe7k	221	49	9999	9999	CD
cord-354953-q1imoe7k	221	50	days	day	NNS
cord-354953-q1imoe7k	221	51	(	(	-LRB-
cord-354953-q1imoe7k	221	52	this	this	DT
cord-354953-q1imoe7k	221	53	means	mean	VBZ
cord-354953-q1imoe7k	221	54	the	the	DT
cord-354953-q1imoe7k	221	55	recovered	recover	VBN
cord-354953-q1imoe7k	221	56	are	be	VBP
cord-354953-q1imoe7k	221	57	permanently	permanently	RB
cord-354953-q1imoe7k	221	58	immune	immune	JJ
cord-354953-q1imoe7k	221	59	to	to	IN
cord-354953-q1imoe7k	221	60	SARS	SARS	NNP
cord-354953-q1imoe7k	221	61	,	,	,
cord-354953-q1imoe7k	221	62	which	which	WDT
cord-354953-q1imoe7k	221	63	is	be	VBZ
cord-354953-q1imoe7k	221	64	based	base	VBN
cord-354953-q1imoe7k	221	65	on	on	IN
cord-354953-q1imoe7k	221	66	the	the	DT
cord-354953-q1imoe7k	221	67	fact	fact	NN
cord-354953-q1imoe7k	221	68	that	that	IN
cord-354953-q1imoe7k	221	69	nobody	nobody	NN
cord-354953-q1imoe7k	221	70	is	be	VBZ
cord-354953-q1imoe7k	221	71	re	re	VBG
cord-354953-q1imoe7k	221	72	-	-	VBN
cord-354953-q1imoe7k	221	73	infected	infect	VBN
cord-354953-q1imoe7k	221	74	with	with	IN
cord-354953-q1imoe7k	221	75	SARS	SARS	NNP
cord-354953-q1imoe7k	221	76	when	when	WRB
cord-354953-q1imoe7k	221	77	recovered	recover	VBN
cord-354953-q1imoe7k	221	78	from	from	IN
cord-354953-q1imoe7k	221	79	the	the	DT
cord-354953-q1imoe7k	221	80	disease	disease	NN
cord-354953-q1imoe7k	221	81	)	)	-RRB-
cord-354953-q1imoe7k	221	82	.	.	.
cord-354953-q1imoe7k	222	1	γ(q	γ(q	NNP
cord-354953-q1imoe7k	222	2	)	)	-RRB-
cord-354953-q1imoe7k	222	3	,	,	.
cord-354953-q1imoe7k	223	1	q∈{1	q∈{1	NNP
cord-354953-q1imoe7k	223	2	,	,	,
cord-354953-q1imoe7k	223	3	2	2	CD
cord-354953-q1imoe7k	223	4	,	,	,
cord-354953-q1imoe7k	223	5	…	…	NFP
cord-354953-q1imoe7k	223	6	,	,	,
cord-354953-q1imoe7k	223	7	T	T	NNP
cord-354953-q1imoe7k	223	8	i	i	NN
cord-354953-q1imoe7k	223	9	+	+	CC
cord-354953-q1imoe7k	223	10	T	t	NN
cord-354953-q1imoe7k	223	11	p	p	NN
cord-354953-q1imoe7k	223	12	+	+	CC
cord-354953-q1imoe7k	223	13	T	t	NN
cord-354953-q1imoe7k	223	14	l	l	NN
cord-354953-q1imoe7k	223	15	}	}	-RRB-
cord-354953-q1imoe7k	223	16	is	be	VBZ
cord-354953-q1imoe7k	223	17	fixed	fix	VBN
cord-354953-q1imoe7k	223	18	to	to	IN
cord-354953-q1imoe7k	223	19	0	0	CD
cord-354953-q1imoe7k	223	20	(	(	-LRB-
cord-354953-q1imoe7k	223	21	in	in	IN
cord-354953-q1imoe7k	223	22	the	the	DT
cord-354953-q1imoe7k	223	23	early	early	JJ
cord-354953-q1imoe7k	223	24	phase	phase	NN
cord-354953-q1imoe7k	223	25	of	of	IN
cord-354953-q1imoe7k	223	26	SARS	SARS	NNP
cord-354953-q1imoe7k	223	27	,	,	,
cord-354953-q1imoe7k	223	28	little	little	JJ
cord-354953-q1imoe7k	223	29	interventions	intervention	NNS
cord-354953-q1imoe7k	223	30	are	be	VBP
cord-354953-q1imoe7k	223	31	carried	carry	VBN
cord-354953-q1imoe7k	223	32	out	out	RP
cord-354953-q1imoe7k	223	33	)	)	-RRB-
cord-354953-q1imoe7k	223	34	.	.	.
cord-354953-q1imoe7k	224	1	The	the	DT
cord-354953-q1imoe7k	224	2	simulation	simulation	NN
cord-354953-q1imoe7k	224	3	time	time	NN
cord-354953-q1imoe7k	224	4	is	be	VBZ
cord-354953-q1imoe7k	224	5	30	30	CD
cord-354953-q1imoe7k	224	6	days	day	NNS
cord-354953-q1imoe7k	224	7	(	(	-LRB-
cord-354953-q1imoe7k	224	8	from	from	IN
cord-354953-q1imoe7k	224	9	March	March	NNP
cord-354953-q1imoe7k	224	10	5	5	CD
cord-354953-q1imoe7k	224	11	to	to	IN
cord-354953-q1imoe7k	224	12	April	April	NNP
cord-354953-q1imoe7k	224	13	5	5	CD
cord-354953-q1imoe7k	224	14	)	)	-RRB-
cord-354953-q1imoe7k	224	15	.	.	.
cord-354953-q1imoe7k	225	1	We	-PRON-	PRP
cord-354953-q1imoe7k	225	2	change	change	VBP
cord-354953-q1imoe7k	225	3	the	the	DT
cord-354953-q1imoe7k	225	4	model	model	NN
cord-354953-q1imoe7k	225	5	parameters	parameter	VBZ
cord-354953-q1imoe7k	225	6	λ	λ	XX
cord-354953-q1imoe7k	225	7	to	to	TO
cord-354953-q1imoe7k	225	8	run	run	VB
cord-354953-q1imoe7k	225	9	the	the	DT
cord-354953-q1imoe7k	225	10	model	model	NN
cord-354953-q1imoe7k	225	11	and	and	CC
cord-354953-q1imoe7k	225	12	the	the	DT
cord-354953-q1imoe7k	225	13	results	result	NNS
cord-354953-q1imoe7k	225	14	of	of	IN
cord-354953-q1imoe7k	225	15	model	model	NN
cord-354953-q1imoe7k	225	16	simulation	simulation	NN
cord-354953-q1imoe7k	225	17	are	be	VBP
cord-354953-q1imoe7k	225	18	drawn	draw	VBN
cord-354953-q1imoe7k	225	19	in	in	IN
cord-354953-q1imoe7k	225	20	Figure	figure	NN
cord-354953-q1imoe7k	225	21	 	 	_SP
cord-354953-q1imoe7k	225	22	Figure	figure	NN
cord-354953-q1imoe7k	225	23	10	10	CD
cord-354953-q1imoe7k	226	1	The	the	DT
cord-354953-q1imoe7k	226	2	political	political	JJ
cord-354953-q1imoe7k	226	3	area	area	NN
cord-354953-q1imoe7k	226	4	map	map	NN
cord-354953-q1imoe7k	226	5	of	of	IN
cord-354953-q1imoe7k	226	6	Beijing	Beijing	NNP
cord-354953-q1imoe7k	226	7	.	.	.
cord-354953-q1imoe7k	227	1	11	11	CD
cord-354953-q1imoe7k	227	2	when	when	WRB
cord-354953-q1imoe7k	227	3	λ(q	λ(q	NNP
cord-354953-q1imoe7k	227	4	)	)	-RRB-
cord-354953-q1imoe7k	227	5	,	,	.
cord-354953-q1imoe7k	228	1	q∈{1	q∈{1	NNP
cord-354953-q1imoe7k	228	2	,	,	,
cord-354953-q1imoe7k	228	3	2	2	CD
cord-354953-q1imoe7k	228	4	,	,	,
cord-354953-q1imoe7k	228	5	…	…	NFP
cord-354953-q1imoe7k	228	6	,	,	,
cord-354953-q1imoe7k	228	7	T	T	NNP
cord-354953-q1imoe7k	228	8	i	i	NN
cord-354953-q1imoe7k	228	9	+	+	CC
cord-354953-q1imoe7k	228	10	T	t	NN
cord-354953-q1imoe7k	228	11	p	p	NN
cord-354953-q1imoe7k	228	12	+	+	CC
cord-354953-q1imoe7k	228	13	T	t	NN
cord-354953-q1imoe7k	228	14	l	l	NN
cord-354953-q1imoe7k	228	15	}	}	-RRB-
cord-354953-q1imoe7k	228	16	is	be	VBZ
cord-354953-q1imoe7k	228	17	assigned	assign	VBN
cord-354953-q1imoe7k	228	18	with	with	IN
cord-354953-q1imoe7k	228	19	0.0025	0.0025	CD
cord-354953-q1imoe7k	228	20	.	.	.
cord-354953-q1imoe7k	229	1	Figure	figure	NN
cord-354953-q1imoe7k	229	2	11	11	CD
cord-354953-q1imoe7k	229	3	shows	show	NNS
cord-354953-q1imoe7k	229	4	that	that	IN
cord-354953-q1imoe7k	229	5	the	the	DT
cord-354953-q1imoe7k	229	6	simulated	simulated	JJ
cord-354953-q1imoe7k	229	7	data	datum	NNS
cord-354953-q1imoe7k	229	8	have	have	VBP
cord-354953-q1imoe7k	229	9	good	good	JJ
cord-354953-q1imoe7k	229	10	consistence	consistence	NN
cord-354953-q1imoe7k	229	11	with	with	IN
cord-354953-q1imoe7k	229	12	the	the	DT
cord-354953-q1imoe7k	229	13	real	real	JJ
cord-354953-q1imoe7k	229	14	disease	disease	NN
cord-354953-q1imoe7k	229	15	data	datum	NNS
cord-354953-q1imoe7k	229	16	before	before	IN
cord-354953-q1imoe7k	229	17	March	March	NNP
cord-354953-q1imoe7k	229	18	22	22	CD
cord-354953-q1imoe7k	229	19	.	.	.
cord-354953-q1imoe7k	230	1	However	however	RB
cord-354953-q1imoe7k	230	2	,	,	,
cord-354953-q1imoe7k	230	3	from	from	IN
cord-354953-q1imoe7k	230	4	March	March	NNP
cord-354953-q1imoe7k	230	5	22	22	CD
cord-354953-q1imoe7k	230	6	on	on	IN
cord-354953-q1imoe7k	230	7	,	,	,
cord-354953-q1imoe7k	230	8	the	the	DT
cord-354953-q1imoe7k	230	9	curve	curve	NN
cord-354953-q1imoe7k	230	10	for	for	IN
cord-354953-q1imoe7k	230	11	the	the	DT
cord-354953-q1imoe7k	230	12	simulated	simulated	JJ
cord-354953-q1imoe7k	230	13	data	datum	NNS
cord-354953-q1imoe7k	230	14	has	have	VBZ
cord-354953-q1imoe7k	230	15	remarkable	remarkable	JJ
cord-354953-q1imoe7k	230	16	rise	rise	NN
cord-354953-q1imoe7k	230	17	while	while	IN
cord-354953-q1imoe7k	230	18	that	that	DT
cord-354953-q1imoe7k	230	19	for	for	IN
cord-354953-q1imoe7k	230	20	the	the	DT
cord-354953-q1imoe7k	230	21	real	real	JJ
cord-354953-q1imoe7k	230	22	data	datum	NNS
cord-354953-q1imoe7k	230	23	are	be	VBP
cord-354953-q1imoe7k	230	24	still	still	RB
cord-354953-q1imoe7k	230	25	slight	slight	JJ
cord-354953-q1imoe7k	230	26	increase	increase	NN
cord-354953-q1imoe7k	230	27	.	.	.
cord-354953-q1imoe7k	231	1	The	the	DT
cord-354953-q1imoe7k	231	2	reason	reason	NN
cord-354953-q1imoe7k	231	3	for	for	IN
cord-354953-q1imoe7k	231	4	this	this	DT
cord-354953-q1imoe7k	231	5	phenomenon	phenomenon	NN
cord-354953-q1imoe7k	231	6	is	be	VBZ
cord-354953-q1imoe7k	231	7	likely	likely	JJ
cord-354953-q1imoe7k	231	8	that	that	IN
cord-354953-q1imoe7k	231	9	the	the	DT
cord-354953-q1imoe7k	231	10	interventions	intervention	NNS
cord-354953-q1imoe7k	231	11	have	have	VBP
cord-354953-q1imoe7k	231	12	been	be	VBN
cord-354953-q1imoe7k	231	13	augmented	augment	VBN
cord-354953-q1imoe7k	231	14	with	with	IN
cord-354953-q1imoe7k	231	15	increasing	increase	VBG
cord-354953-q1imoe7k	231	16	respect	respect	NN
cord-354953-q1imoe7k	231	17	with	with	IN
cord-354953-q1imoe7k	231	18	the	the	DT
cord-354953-q1imoe7k	231	19	disease	disease	NN
cord-354953-q1imoe7k	231	20	.	.	.
cord-354953-q1imoe7k	232	1	Furthermore	furthermore	RB
cord-354953-q1imoe7k	232	2	,	,	,
cord-354953-q1imoe7k	232	3	the	the	DT
cord-354953-q1imoe7k	232	4	real	real	JJ
cord-354953-q1imoe7k	232	5	road	road	NN
cord-354953-q1imoe7k	232	6	network	network	NN
cord-354953-q1imoe7k	232	7	is	be	VBZ
cord-354953-q1imoe7k	232	8	quite	quite	RB
cord-354953-q1imoe7k	232	9	complex	complex	JJ
cord-354953-q1imoe7k	232	10	so	so	IN
cord-354953-q1imoe7k	232	11	that	that	IN
cord-354953-q1imoe7k	232	12	it	-PRON-	PRP
cord-354953-q1imoe7k	232	13	is	be	VBZ
cord-354953-q1imoe7k	232	14	very	very	RB
cord-354953-q1imoe7k	232	15	difficult	difficult	JJ
cord-354953-q1imoe7k	232	16	to	to	TO
cord-354953-q1imoe7k	232	17	precisely	precisely	RB
cord-354953-q1imoe7k	232	18	calculate	calculate	VB
cord-354953-q1imoe7k	232	19	the	the	DT
cord-354953-q1imoe7k	232	20	connection	connection	NN
cord-354953-q1imoe7k	232	21	factors	factor	NNS
cord-354953-q1imoe7k	232	22	without	without	IN
cord-354953-q1imoe7k	232	23	detailed	detailed	JJ
cord-354953-q1imoe7k	232	24	road	road	NN
cord-354953-q1imoe7k	232	25	data	datum	NNS
cord-354953-q1imoe7k	232	26	.	.	.
cord-354953-q1imoe7k	233	1	But	but	CC
cord-354953-q1imoe7k	233	2	imaginably	imaginably	RB
cord-354953-q1imoe7k	233	3	,	,	,
cord-354953-q1imoe7k	233	4	given	give	VBN
cord-354953-q1imoe7k	233	5	perfect	perfect	JJ
cord-354953-q1imoe7k	233	6	road	road	NN
cord-354953-q1imoe7k	233	7	data	datum	NNS
cord-354953-q1imoe7k	233	8	and	and	CC
cord-354953-q1imoe7k	233	9	well	well	RB
cord-354953-q1imoe7k	233	10	defined	define	VBN
cord-354953-q1imoe7k	233	11	road	road	NN
cord-354953-q1imoe7k	233	12	network	network	NN
cord-354953-q1imoe7k	233	13	topology	topology	NN
cord-354953-q1imoe7k	233	14	,	,	,
cord-354953-q1imoe7k	233	15	the	the	DT
cord-354953-q1imoe7k	233	16	more	more	RBR
cord-354953-q1imoe7k	233	17	practical	practical	JJ
cord-354953-q1imoe7k	233	18	connection	connection	NN
cord-354953-q1imoe7k	233	19	factors	factor	NNS
cord-354953-q1imoe7k	233	20	can	can	MD
cord-354953-q1imoe7k	233	21	be	be	VB
cord-354953-q1imoe7k	233	22	calculated	calculate	VBN
cord-354953-q1imoe7k	233	23	and	and	CC
cord-354953-q1imoe7k	233	24	the	the	DT
cord-354953-q1imoe7k	233	25	model	model	NN
cord-354953-q1imoe7k	233	26	will	will	MD
cord-354953-q1imoe7k	233	27	achieve	achieve	VB
cord-354953-q1imoe7k	233	28	higher	high	JJR
cord-354953-q1imoe7k	233	29	accuracy	accuracy	NN
cord-354953-q1imoe7k	233	30	.	.	.
cord-354953-q1imoe7k	234	1	Since	since	IN
cord-354953-q1imoe7k	234	2	the	the	DT
cord-354953-q1imoe7k	234	3	SIR	SIR	NNP
cord-354953-q1imoe7k	234	4	model	model	NN
cord-354953-q1imoe7k	234	5	was	be	VBD
cord-354953-q1imoe7k	234	6	first	first	RB
cord-354953-q1imoe7k	234	7	published	publish	VBN
cord-354953-q1imoe7k	234	8	,	,	,
cord-354953-q1imoe7k	234	9	it	-PRON-	PRP
cord-354953-q1imoe7k	234	10	has	have	VBZ
cord-354953-q1imoe7k	234	11	being	be	VBG
cord-354953-q1imoe7k	234	12	widely	widely	RB
cord-354953-q1imoe7k	234	13	used	use	VBN
cord-354953-q1imoe7k	234	14	in	in	IN
cord-354953-q1imoe7k	234	15	modeling	model	VBG
cord-354953-q1imoe7k	234	16	transmission	transmission	NN
cord-354953-q1imoe7k	234	17	of	of	IN
cord-354953-q1imoe7k	234	18	contagious	contagious	JJ
cord-354953-q1imoe7k	234	19	diseases	disease	NNS
cord-354953-q1imoe7k	234	20	.	.	.
cord-354953-q1imoe7k	235	1	It	-PRON-	PRP
cord-354953-q1imoe7k	235	2	suffers	suffer	VBZ
cord-354953-q1imoe7k	235	3	from	from	IN
cord-354953-q1imoe7k	235	4	the	the	DT
cord-354953-q1imoe7k	235	5	assumption	assumption	NN
cord-354953-q1imoe7k	235	6	of	of	IN
cord-354953-q1imoe7k	235	7	mass	mass	JJ
cord-354953-q1imoe7k	235	8	action	action	NN
cord-354953-q1imoe7k	235	9	,	,	,
cord-354953-q1imoe7k	235	10	or	or	CC
cord-354953-q1imoe7k	235	11	the	the	DT
cord-354953-q1imoe7k	235	12	homogenous	homogenous	JJ
cord-354953-q1imoe7k	235	13	interaction	interaction	NN
cord-354953-q1imoe7k	235	14	between	between	IN
cord-354953-q1imoe7k	235	15	populations	population	NNS
cord-354953-q1imoe7k	235	16	.	.	.
cord-354953-q1imoe7k	236	1	A	a	DT
cord-354953-q1imoe7k	236	2	lot	lot	NN
cord-354953-q1imoe7k	236	3	of	of	IN
cord-354953-q1imoe7k	236	4	efforts	effort	NNS
cord-354953-q1imoe7k	236	5	are	be	VBP
cord-354953-q1imoe7k	236	6	required	require	VBN
cord-354953-q1imoe7k	236	7	to	to	TO
cord-354953-q1imoe7k	236	8	relax	relax	VB
cord-354953-q1imoe7k	236	9	the	the	DT
cord-354953-q1imoe7k	236	10	assumption	assumption	NN
cord-354953-q1imoe7k	236	11	.	.	.
cord-354953-q1imoe7k	237	1	The	the	DT
cord-354953-q1imoe7k	237	2	paper	paper	NN
cord-354953-q1imoe7k	237	3	proposes	propose	VBZ
cord-354953-q1imoe7k	237	4	to	to	TO
cord-354953-q1imoe7k	237	5	embed	embed	VB
cord-354953-q1imoe7k	237	6	CA	CA	NNP
cord-354953-q1imoe7k	237	7	model	model	NN
cord-354953-q1imoe7k	237	8	under	under	IN
cord-354953-q1imoe7k	237	9	SIR	SIR	NNP
cord-354953-q1imoe7k	237	10	framework	framework	NN
cord-354953-q1imoe7k	237	11	;	;	:
cord-354953-q1imoe7k	237	12	a	a	DT
cord-354953-q1imoe7k	237	13	new	new	JJ
cord-354953-q1imoe7k	237	14	effort	effort	NN
cord-354953-q1imoe7k	237	15	has	have	VBZ
cord-354953-q1imoe7k	237	16	been	be	VBN
cord-354953-q1imoe7k	237	17	made	make	VBN
cord-354953-q1imoe7k	237	18	to	to	TO
cord-354953-q1imoe7k	237	19	revise	revise	VB
cord-354953-q1imoe7k	237	20	SIR	SIR	NNP
cord-354953-q1imoe7k	237	21	model	model	NN
cord-354953-q1imoe7k	237	22	and	and	CC
cord-354953-q1imoe7k	238	1	the	the	DT
cord-354953-q1imoe7k	238	2	study	study	NN
cord-354953-q1imoe7k	238	3	on	on	IN
cord-354953-q1imoe7k	238	4	the	the	DT
cord-354953-q1imoe7k	238	5	simulation	simulation	NN
cord-354953-q1imoe7k	238	6	and	and	CC
cord-354953-q1imoe7k	238	7	real	real	JJ
cord-354953-q1imoe7k	238	8	-	-	HYPH
cord-354953-q1imoe7k	238	9	world	world	NN
cord-354953-q1imoe7k	238	10	cases	case	NNS
cord-354953-q1imoe7k	238	11	shows	show	VBZ
cord-354953-q1imoe7k	238	12	that	that	DT
cord-354953-q1imoe7k	238	13	work	work	NN
cord-354953-q1imoe7k	238	14	.	.	.
cord-354953-q1imoe7k	239	1	In	in	IN
cord-354953-q1imoe7k	239	2	this	this	DT
cord-354953-q1imoe7k	239	3	paper	paper	NN
cord-354953-q1imoe7k	239	4	,	,	,
cord-354953-q1imoe7k	239	5	a	a	DT
cord-354953-q1imoe7k	239	6	theoretical	theoretical	JJ
cord-354953-q1imoe7k	239	7	model	model	NN
cord-354953-q1imoe7k	239	8	of	of	IN
cord-354953-q1imoe7k	239	9	infectious	infectious	JJ
cord-354953-q1imoe7k	239	10	diseases	disease	NNS
cord-354953-q1imoe7k	239	11	is	be	VBZ
cord-354953-q1imoe7k	239	12	introduced	introduce	VBN
cord-354953-q1imoe7k	239	13	.	.	.
cord-354953-q1imoe7k	240	1	It	-PRON-	PRP
cord-354953-q1imoe7k	240	2	incorporates	incorporate	VBZ
cord-354953-q1imoe7k	240	3	two	two	CD
cord-354953-q1imoe7k	240	4	main	main	JJ
cord-354953-q1imoe7k	240	5	heterogeneities	heterogeneity	NNS
cord-354953-q1imoe7k	240	6	:	:	:
cord-354953-q1imoe7k	240	7	population	population	NN
cord-354953-q1imoe7k	240	8	heterogeneity	heterogeneity	NN
cord-354953-q1imoe7k	240	9	and	and	CC
cord-354953-q1imoe7k	240	10	distribution	distribution	NN
cord-354953-q1imoe7k	240	11	heterogeneity	heterogeneity	NN
cord-354953-q1imoe7k	240	12	which	which	WDT
cord-354953-q1imoe7k	240	13	relax	relax	VBP
cord-354953-q1imoe7k	240	14	the	the	DT
cord-354953-q1imoe7k	240	15	assumption	assumption	NN
cord-354953-q1imoe7k	240	16	of	of	IN
cord-354953-q1imoe7k	240	17	homogeneity	homogeneity	NN
cord-354953-q1imoe7k	240	18	.	.	.
cord-354953-q1imoe7k	241	1	It	-PRON-	PRP
cord-354953-q1imoe7k	241	2	employs	employ	VBZ
cord-354953-q1imoe7k	241	3	geo	geo	NN
cord-354953-q1imoe7k	241	4	-	-	HYPH
cord-354953-q1imoe7k	241	5	entity	entity	NN
cord-354953-q1imoe7k	241	6	based	base	VBN
cord-354953-q1imoe7k	241	7	CA	CA	NNP
cord-354953-q1imoe7k	241	8	considering	consider	VBG
cord-354953-q1imoe7k	241	9	physical	physical	JJ
cord-354953-q1imoe7k	241	10	geographical	geographical	JJ
cord-354953-q1imoe7k	241	11	regions	region	NNS
cord-354953-q1imoe7k	241	12	as	as	IN
cord-354953-q1imoe7k	241	13	cells	cell	NNS
cord-354953-q1imoe7k	241	14	.	.	.
cord-354953-q1imoe7k	242	1	The	the	DT
cord-354953-q1imoe7k	242	2	model	model	NN
cord-354953-q1imoe7k	242	3	incorporates	incorporate	VBZ
cord-354953-q1imoe7k	242	4	two	two	CD
cord-354953-q1imoe7k	242	5	categories	category	NNS
cord-354953-q1imoe7k	242	6	of	of	IN
cord-354953-q1imoe7k	242	7	parameters	parameter	NNS
cord-354953-q1imoe7k	242	8	(	(	-LRB-
cord-354953-q1imoe7k	242	9	the	the	DT
cord-354953-q1imoe7k	242	10	BECR	BECR	NNP
cord-354953-q1imoe7k	242	11	and	and	CC
cord-354953-q1imoe7k	242	12	the	the	DT
cord-354953-q1imoe7k	242	13	cured	cure	VBN
cord-354953-q1imoe7k	242	14	rate	rate	NN
cord-354953-q1imoe7k	242	15	)	)	-RRB-
cord-354953-q1imoe7k	242	16	that	that	WDT
cord-354953-q1imoe7k	242	17	may	may	MD
cord-354953-q1imoe7k	242	18	express	express	VB
cord-354953-q1imoe7k	242	19	man	man	NN
cord-354953-q1imoe7k	242	20	's	's	POS
cord-354953-q1imoe7k	242	21	interventions	intervention	NNS
cord-354953-q1imoe7k	242	22	,	,	,
cord-354953-q1imoe7k	242	23	through	through	IN
cord-354953-q1imoe7k	242	24	which	which	WDT
cord-354953-q1imoe7k	242	25	the	the	DT
cord-354953-q1imoe7k	242	26	evaluation	evaluation	NN
cord-354953-q1imoe7k	242	27	of	of	IN
cord-354953-q1imoe7k	242	28	the	the	DT
cord-354953-q1imoe7k	242	29	control	control	NN
cord-354953-q1imoe7k	242	30	effect	effect	NN
cord-354953-q1imoe7k	242	31	(	(	-LRB-
cord-354953-q1imoe7k	242	32	e.g.	e.g.	RB
cord-354953-q1imoe7k	242	33	,	,	,
cord-354953-q1imoe7k	242	34	therapy	therapy	NN
cord-354953-q1imoe7k	242	35	,	,	,
cord-354953-q1imoe7k	242	36	isolation	isolation	NN
cord-354953-q1imoe7k	242	37	,	,	,
cord-354953-q1imoe7k	242	38	immunization	immunization	NN
cord-354953-q1imoe7k	242	39	)	)	-RRB-
cord-354953-q1imoe7k	242	40	is	be	VBZ
cord-354953-q1imoe7k	242	41	executable	executable	JJ
cord-354953-q1imoe7k	242	42	.	.	.
cord-354953-q1imoe7k	243	1	In	in	IN
cord-354953-q1imoe7k	243	2	the	the	DT
cord-354953-q1imoe7k	243	3	proposed	propose	VBN
cord-354953-q1imoe7k	243	4	model	model	NN
cord-354953-q1imoe7k	243	5	,	,	,
cord-354953-q1imoe7k	243	6	the	the	DT
cord-354953-q1imoe7k	243	7	parameter	parameter	NN
cord-354953-q1imoe7k	243	8	correlation	correlation	NN
cord-354953-q1imoe7k	243	9	factor	factor	NN
cord-354953-q1imoe7k	243	10	c	c	NNP
cord-354953-q1imoe7k	243	11	ij	ij	NNP
cord-354953-q1imoe7k	243	12	reflects	reflect	VBZ
cord-354953-q1imoe7k	243	13	the	the	DT
cord-354953-q1imoe7k	243	14	force	force	NN
cord-354953-q1imoe7k	243	15	of	of	IN
cord-354953-q1imoe7k	243	16	the	the	DT
cord-354953-q1imoe7k	243	17	external	external	JJ
cord-354953-q1imoe7k	243	18	interaction	interaction	NN
cord-354953-q1imoe7k	243	19	between	between	IN
cord-354953-q1imoe7k	243	20	region	region	NN
cord-354953-q1imoe7k	243	21	i	i	NNP
cord-354953-q1imoe7k	243	22	and	and	CC
cord-354953-q1imoe7k	243	23	region	region	NN
cord-354953-q1imoe7k	243	24	j.	j.	NNP
cord-354953-q1imoe7k	243	25	Quantifying	quantify	VBG
cord-354953-q1imoe7k	243	26	the	the	DT
cord-354953-q1imoe7k	243	27	variable	variable	NN
cord-354953-q1imoe7k	243	28	reasonably	reasonably	RB
cord-354953-q1imoe7k	243	29	is	be	VBZ
cord-354953-q1imoe7k	243	30	crucial	crucial	JJ
cord-354953-q1imoe7k	243	31	for	for	IN
cord-354953-q1imoe7k	243	32	effective	effective	JJ
cord-354953-q1imoe7k	243	33	simulation	simulation	NN
cord-354953-q1imoe7k	243	34	of	of	IN
cord-354953-q1imoe7k	243	35	an	an	DT
cord-354953-q1imoe7k	243	36	infectious	infectious	JJ
cord-354953-q1imoe7k	243	37	disease	disease	NN
cord-354953-q1imoe7k	243	38	.	.	.
cord-354953-q1imoe7k	244	1	A	a	DT
cord-354953-q1imoe7k	244	2	spatial	spatial	JJ
cord-354953-q1imoe7k	244	3	weighting	weighting	NN
cord-354953-q1imoe7k	244	4	function	function	NN
cord-354953-q1imoe7k	244	5	is	be	VBZ
cord-354953-q1imoe7k	244	6	a	a	DT
cord-354953-q1imoe7k	244	7	set	set	NN
cord-354953-q1imoe7k	244	8	of	of	IN
cord-354953-q1imoe7k	244	9	rules	rule	NNS
cord-354953-q1imoe7k	244	10	that	that	WDT
cord-354953-q1imoe7k	244	11	assign	assign	VBP
cord-354953-q1imoe7k	244	12	values	value	NNS
cord-354953-q1imoe7k	244	13	or	or	CC
cord-354953-q1imoe7k	244	14	"	"	``
cord-354953-q1imoe7k	244	15	weights	weight	NNS
cord-354953-q1imoe7k	244	16	"	"	''
cord-354953-q1imoe7k	244	17	to	to	IN
cord-354953-q1imoe7k	244	18	every	every	DT
cord-354953-q1imoe7k	244	19	pair	pair	NN
cord-354953-q1imoe7k	244	20	of	of	IN
cord-354953-q1imoe7k	244	21	locations	location	NNS
cord-354953-q1imoe7k	244	22	in	in	IN
cord-354953-q1imoe7k	244	23	a	a	DT
cord-354953-q1imoe7k	244	24	study	study	NN
cord-354953-q1imoe7k	244	25	area	area	NN
cord-354953-q1imoe7k	244	26	and	and	CC
cord-354953-q1imoe7k	244	27	it	-PRON-	PRP
cord-354953-q1imoe7k	244	28	is	be	VBZ
cord-354953-q1imoe7k	244	29	appropriate	appropriate	JJ
cord-354953-q1imoe7k	244	30	for	for	IN
cord-354953-q1imoe7k	244	31	quantifying	quantify	VBG
cord-354953-q1imoe7k	244	32	the	the	DT
cord-354953-q1imoe7k	244	33	correlation	correlation	NN
cord-354953-q1imoe7k	244	34	factors	factor	NNS
cord-354953-q1imoe7k	244	35	.	.	.
cord-354953-q1imoe7k	245	1	Based	base	VBN
cord-354953-q1imoe7k	245	2	on	on	IN
cord-354953-q1imoe7k	245	3	spatial	spatial	JJ
cord-354953-q1imoe7k	245	4	weighting	weighting	NN
cord-354953-q1imoe7k	245	5	functions	function	NNS
cord-354953-q1imoe7k	245	6	,	,	,
cord-354953-q1imoe7k	245	7	some	some	DT
cord-354953-q1imoe7k	245	8	new	new	JJ
cord-354953-q1imoe7k	245	9	neighbor	neighbor	NN
cord-354953-q1imoe7k	245	10	patterns	pattern	NNS
cord-354953-q1imoe7k	245	11	can	can	MD
cord-354953-q1imoe7k	245	12	be	be	VB
cord-354953-q1imoe7k	245	13	applied	apply	VBN
cord-354953-q1imoe7k	245	14	in	in	IN
cord-354953-q1imoe7k	245	15	the	the	DT
cord-354953-q1imoe7k	245	16	model	model	NN
cord-354953-q1imoe7k	245	17	,	,	,
cord-354953-q1imoe7k	245	18	which	which	WDT
cord-354953-q1imoe7k	245	19	are	be	VBP
cord-354953-q1imoe7k	245	20	different	different	JJ
cord-354953-q1imoe7k	245	21	from	from	IN
cord-354953-q1imoe7k	245	22	those	those	DT
cord-354953-q1imoe7k	245	23	used	use	VBN
cord-354953-q1imoe7k	245	24	in	in	IN
cord-354953-q1imoe7k	245	25	the	the	DT
cord-354953-q1imoe7k	245	26	classic	classic	JJ
cord-354953-q1imoe7k	245	27	CA	CA	NNP
cord-354953-q1imoe7k	245	28	and	and	CC
cord-354953-q1imoe7k	245	29	supposed	suppose	VBD
cord-354953-q1imoe7k	245	30	to	to	TO
cord-354953-q1imoe7k	245	31	more	more	RBR
cord-354953-q1imoe7k	245	32	reasonably	reasonably	RB
cord-354953-q1imoe7k	245	33	depict	depict	VB
cord-354953-q1imoe7k	245	34	the	the	DT
cord-354953-q1imoe7k	245	35	spatial	spatial	JJ
cord-354953-q1imoe7k	245	36	interaction	interaction	NN
cord-354953-q1imoe7k	245	37	of	of	IN
cord-354953-q1imoe7k	245	38	infectious	infectious	JJ
cord-354953-q1imoe7k	245	39	diseases	disease	NNS
cord-354953-q1imoe7k	245	40	.	.	.
cord-354953-q1imoe7k	246	1	Consequently	consequently	RB
cord-354953-q1imoe7k	246	2	,	,	,
cord-354953-q1imoe7k	246	3	the	the	DT
cord-354953-q1imoe7k	246	4	model	model	NN
cord-354953-q1imoe7k	246	5	is	be	VBZ
cord-354953-q1imoe7k	246	6	applicable	applicable	JJ
cord-354953-q1imoe7k	246	7	for	for	IN
cord-354953-q1imoe7k	246	8	not	not	RB
cord-354953-q1imoe7k	246	9	only	only	RB
cord-354953-q1imoe7k	246	10	the	the	DT
cord-354953-q1imoe7k	246	11	diseases	disease	NNS
cord-354953-q1imoe7k	246	12	with	with	IN
cord-354953-q1imoe7k	246	13	local	local	JJ
cord-354953-q1imoe7k	246	14	contagion	contagion	NN
cord-354953-q1imoe7k	246	15	but	but	CC
cord-354953-q1imoe7k	246	16	also	also	RB
cord-354953-q1imoe7k	246	17	ones	one	NNS
cord-354953-q1imoe7k	246	18	with	with	IN
cord-354953-q1imoe7k	246	19	global	global	JJ
cord-354953-q1imoe7k	246	20	contagion	contagion	NN
cord-354953-q1imoe7k	246	21	(	(	-LRB-
cord-354953-q1imoe7k	246	22	e.g.	e.g.	RB
cord-354953-q1imoe7k	246	23	,	,	,
cord-354953-q1imoe7k	246	24	SARS	SARS	NNP
cord-354953-q1imoe7k	246	25	,	,	,
cord-354953-q1imoe7k	246	26	Foot	Foot	NNP
cord-354953-q1imoe7k	246	27	and	and	CC
cord-354953-q1imoe7k	246	28	mouth	mouth	NN
cord-354953-q1imoe7k	246	29	disease	disease	NN
cord-354953-q1imoe7k	246	30	and	and	CC
cord-354953-q1imoe7k	246	31	Avian	Avian	NNP
cord-354953-q1imoe7k	246	32	Influenza	Influenza	NNP
cord-354953-q1imoe7k	246	33	)	)	-RRB-
cord-354953-q1imoe7k	246	34	.	.	.
cord-354953-q1imoe7k	247	1	The	the	DT
cord-354953-q1imoe7k	247	2	model	model	NN
cord-354953-q1imoe7k	247	3	has	have	VBZ
cord-354953-q1imoe7k	247	4	some	some	DT
cord-354953-q1imoe7k	247	5	advantages	advantage	NNS
cord-354953-q1imoe7k	247	6	over	over	IN
cord-354953-q1imoe7k	247	7	the	the	DT
cord-354953-q1imoe7k	247	8	classic	classic	JJ
cord-354953-q1imoe7k	247	9	CA	CA	NNP
cord-354953-q1imoe7k	247	10	.	.	.
cord-354953-q1imoe7k	248	1	It	-PRON-	PRP
cord-354953-q1imoe7k	248	2	can	can	MD
cord-354953-q1imoe7k	248	3	couple	couple	NN
cord-354953-q1imoe7k	248	4	cells	cell	NNS
cord-354953-q1imoe7k	248	5	with	with	IN
cord-354953-q1imoe7k	248	6	geographical	geographical	JJ
cord-354953-q1imoe7k	248	7	phenomena	phenomenon	NNS
cord-354953-q1imoe7k	248	8	closely	closely	RB
cord-354953-q1imoe7k	248	9	.	.	.
cord-354953-q1imoe7k	249	1	Thus	thus	RB
cord-354953-q1imoe7k	249	2	,	,	,
cord-354953-q1imoe7k	249	3	the	the	DT
cord-354953-q1imoe7k	249	4	incorporation	incorporation	NN
cord-354953-q1imoe7k	249	5	of	of	IN
cord-354953-q1imoe7k	249	6	region	region	NN
cord-354953-q1imoe7k	249	7	related	relate	VBN
cord-354953-q1imoe7k	249	8	parameters	parameter	NNS
cord-354953-q1imoe7k	249	9	,	,	,
cord-354953-q1imoe7k	249	10	such	such	JJ
cord-354953-q1imoe7k	249	11	as	as	IN
cord-354953-q1imoe7k	249	12	various	various	JJ
cord-354953-q1imoe7k	249	13	attributes	attribute	NNS
cord-354953-q1imoe7k	249	14	for	for	IN
cord-354953-q1imoe7k	249	15	geographical	geographical	JJ
cord-354953-q1imoe7k	249	16	regions	region	NNS
cord-354953-q1imoe7k	249	17	,	,	,
cord-354953-q1imoe7k	249	18	spatial	spatial	JJ
cord-354953-q1imoe7k	249	19	weighting	weighting	NN
cord-354953-q1imoe7k	249	20	functions	function	NNS
cord-354953-q1imoe7k	249	21	and	and	CC
cord-354953-q1imoe7k	249	22	so	so	RB
cord-354953-q1imoe7k	249	23	on	on	RB
cord-354953-q1imoe7k	249	24	,	,	,
cord-354953-q1imoe7k	249	25	becomes	become	VBZ
cord-354953-q1imoe7k	249	26	more	more	RBR
cord-354953-q1imoe7k	249	27	direct	direct	JJ
cord-354953-q1imoe7k	249	28	and	and	CC
cord-354953-q1imoe7k	249	29	convenient	convenient	JJ
cord-354953-q1imoe7k	249	30	.	.	.
cord-354953-q1imoe7k	250	1	According	accord	VBG
cord-354953-q1imoe7k	250	2	to	to	IN
cord-354953-q1imoe7k	250	3	the	the	DT
cord-354953-q1imoe7k	250	4	model	model	NN
cord-354953-q1imoe7k	250	5	,	,	,
cord-354953-q1imoe7k	250	6	a	a	DT
cord-354953-q1imoe7k	250	7	simulation	simulation	NN
cord-354953-q1imoe7k	250	8	program	program	NN
cord-354953-q1imoe7k	250	9	is	be	VBZ
cord-354953-q1imoe7k	250	10	developed	develop	VBN
cord-354953-q1imoe7k	250	11	in	in	IN
cord-354953-q1imoe7k	250	12	GIS	GIS	NNP
cord-354953-q1imoe7k	250	13	.	.	.
cord-354953-q1imoe7k	251	1	For	for	IN
cord-354953-q1imoe7k	251	2	two	two	CD
cord-354953-q1imoe7k	251	3	typical	typical	JJ
cord-354953-q1imoe7k	251	4	contagion	contagion	NN
cord-354953-q1imoe7k	251	5	patterns	pattern	NNS
cord-354953-q1imoe7k	251	6	:	:	:
cord-354953-q1imoe7k	251	7	the	the	DT
cord-354953-q1imoe7k	251	8	local	local	JJ
cord-354953-q1imoe7k	251	9	contagion	contagion	NN
cord-354953-q1imoe7k	251	10	and	and	CC
cord-354953-q1imoe7k	251	11	the	the	DT
cord-354953-q1imoe7k	251	12	global	global	JJ
cord-354953-q1imoe7k	251	13	contagion	contagion	NN
cord-354953-q1imoe7k	251	14	,	,	,
cord-354953-q1imoe7k	251	15	some	some	DT
cord-354953-q1imoe7k	251	16	results	result	NNS
cord-354953-q1imoe7k	251	17	of	of	IN
cord-354953-q1imoe7k	251	18	simulation	simulation	NN
cord-354953-q1imoe7k	251	19	are	be	VBP
cord-354953-q1imoe7k	251	20	obtained	obtain	VBN
cord-354953-q1imoe7k	251	21	.	.	.
cord-354953-q1imoe7k	252	1	And	and	CC
cord-354953-q1imoe7k	252	2	the	the	DT
cord-354953-q1imoe7k	252	3	results	result	NNS
cord-354953-q1imoe7k	252	4	show	show	VBP
cord-354953-q1imoe7k	252	5	that	that	IN
cord-354953-q1imoe7k	252	6	the	the	DT
cord-354953-q1imoe7k	252	7	model	model	NN
cord-354953-q1imoe7k	252	8	is	be	VBZ
cord-354953-q1imoe7k	252	9	adaptable	adaptable	JJ
cord-354953-q1imoe7k	252	10	for	for	IN
cord-354953-q1imoe7k	252	11	modeling	model	VBG
cord-354953-q1imoe7k	252	12	the	the	DT
cord-354953-q1imoe7k	252	13	complicated	complicated	JJ
cord-354953-q1imoe7k	252	14	phenomena	phenomenon	NNS
cord-354953-q1imoe7k	252	15	of	of	IN
cord-354953-q1imoe7k	252	16	the	the	DT
cord-354953-q1imoe7k	252	17	spread	spread	NN
cord-354953-q1imoe7k	252	18	of	of	IN
cord-354953-q1imoe7k	252	19	diseases	disease	NNS
cord-354953-q1imoe7k	252	20	in	in	IN
cord-354953-q1imoe7k	252	21	real	real	JJ
cord-354953-q1imoe7k	252	22	world	world	NN
cord-354953-q1imoe7k	252	23	,	,	,
cord-354953-q1imoe7k	252	24	which	which	WDT
cord-354953-q1imoe7k	252	25	is	be	VBZ
cord-354953-q1imoe7k	252	26	nearly	nearly	RB
cord-354953-q1imoe7k	252	27	impossible	impossible	JJ
cord-354953-q1imoe7k	252	28	to	to	TO
cord-354953-q1imoe7k	252	29	be	be	VB
cord-354953-q1imoe7k	252	30	achieved	achieve	VBN
cord-354953-q1imoe7k	252	31	with	with	IN
cord-354953-q1imoe7k	252	32	differential	differential	JJ
cord-354953-q1imoe7k	252	33	equations	equation	NNS
cord-354953-q1imoe7k	252	34	because	because	IN
cord-354953-q1imoe7k	252	35	of	of	IN
cord-354953-q1imoe7k	252	36	the	the	DT
cord-354953-q1imoe7k	252	37	complexity	complexity	NN
cord-354953-q1imoe7k	252	38	of	of	IN
cord-354953-q1imoe7k	252	39	the	the	DT
cord-354953-q1imoe7k	252	40	problem	problem	NN
cord-354953-q1imoe7k	252	41	.	.	.
cord-354953-q1imoe7k	253	1	Fur	fur	NN
cord-354953-q1imoe7k	253	2	-	-	HYPH
cord-354953-q1imoe7k	253	3	thermore	thermore	NN
cord-354953-q1imoe7k	253	4	,	,	,
cord-354953-q1imoe7k	253	5	the	the	DT
cord-354953-q1imoe7k	253	6	model	model	NN
cord-354953-q1imoe7k	253	7	couples	couple	VBZ
cord-354953-q1imoe7k	253	8	visualization	visualization	VBP
cord-354953-q1imoe7k	253	9	with	with	IN
cord-354953-q1imoe7k	253	10	complexity	complexity	NN
cord-354953-q1imoe7k	253	11	and	and	CC
cord-354953-q1imoe7k	253	12	is	be	VBZ
cord-354953-q1imoe7k	253	13	supposed	suppose	VBN
cord-354953-q1imoe7k	253	14	to	to	TO
cord-354953-q1imoe7k	253	15	effectively	effectively	RB
cord-354953-q1imoe7k	253	16	simulate	simulate	VB
cord-354953-q1imoe7k	253	17	the	the	DT
cord-354953-q1imoe7k	253	18	dynamics	dynamic	NNS
cord-354953-q1imoe7k	253	19	of	of	IN
cord-354953-q1imoe7k	253	20	infectious	infectious	JJ
cord-354953-q1imoe7k	253	21	diseases	disease	NNS
cord-354953-q1imoe7k	253	22	on	on	IN
cord-354953-q1imoe7k	253	23	complex	complex	JJ
cord-354953-q1imoe7k	253	24	networks	network	NNS
cord-354953-q1imoe7k	253	25	which	which	WDT
cord-354953-q1imoe7k	253	26	is	be	VBZ
cord-354953-q1imoe7k	253	27	unreachable	unreachable	JJ
cord-354953-q1imoe7k	253	28	with	with	IN
cord-354953-q1imoe7k	253	29	either	either	CC
cord-354953-q1imoe7k	253	30	the	the	DT
cord-354953-q1imoe7k	253	31	classic	classic	JJ
cord-354953-q1imoe7k	253	32	CA	CA	NNP
cord-354953-q1imoe7k	253	33	or	or	CC
cord-354953-q1imoe7k	253	34	analytical	analytical	JJ
cord-354953-q1imoe7k	253	35	complex	complex	JJ
cord-354953-q1imoe7k	253	36	networks	network	NNS
cord-354953-q1imoe7k	253	37	.	.	.
cord-354953-q1imoe7k	254	1	In	in	IN
cord-354953-q1imoe7k	254	2	this	this	DT
cord-354953-q1imoe7k	254	3	paper	paper	NN
cord-354953-q1imoe7k	254	4	,	,	,
cord-354953-q1imoe7k	254	5	the	the	DT
cord-354953-q1imoe7k	254	6	cases	case	NNS
cord-354953-q1imoe7k	254	7	of	of	IN
cord-354953-q1imoe7k	254	8	simulation	simulation	NN
cord-354953-q1imoe7k	254	9	considering	consider	VBG
cord-354953-q1imoe7k	254	10	isolation	isolation	NN
cord-354953-q1imoe7k	254	11	and	and	CC
cord-354953-q1imoe7k	254	12	quarantine	quarantine	NN
cord-354953-q1imoe7k	254	13	are	be	VBP
cord-354953-q1imoe7k	254	14	also	also	RB
cord-354953-q1imoe7k	254	15	presented	present	VBN
cord-354953-q1imoe7k	254	16	,	,	,
cord-354953-q1imoe7k	254	17	which	which	WDT
cord-354953-q1imoe7k	254	18	demonstrate	demonstrate	VBP
cord-354953-q1imoe7k	254	19	several	several	JJ
cord-354953-q1imoe7k	254	20	sensible	sensible	JJ
cord-354953-q1imoe7k	254	21	uses	use	NNS
cord-354953-q1imoe7k	254	22	of	of	IN
cord-354953-q1imoe7k	254	23	the	the	DT
cord-354953-q1imoe7k	254	24	model	model	NN
cord-354953-q1imoe7k	254	25	in	in	IN
cord-354953-q1imoe7k	254	26	control	control	NN
cord-354953-q1imoe7k	254	27	and	and	CC
cord-354953-q1imoe7k	254	28	prevention	prevention	NN
cord-354953-q1imoe7k	254	29	of	of	IN
cord-354953-q1imoe7k	254	30	infectious	infectious	JJ
cord-354953-q1imoe7k	254	31	diseases	disease	NNS
cord-354953-q1imoe7k	254	32	.	.	.
cord-354953-q1imoe7k	255	1	The	the	DT
cord-354953-q1imoe7k	255	2	case	case	NN
cord-354953-q1imoe7k	255	3	study	study	NN
cord-354953-q1imoe7k	255	4	of	of	IN
cord-354953-q1imoe7k	255	5	Beijing	Beijing	NNP
cord-354953-q1imoe7k	255	6	SARS	SARS	NNP
cord-354953-q1imoe7k	255	7	also	also	RB
cord-354953-q1imoe7k	255	8	shows	show	VBZ
cord-354953-q1imoe7k	255	9	that	that	IN
cord-354953-q1imoe7k	255	10	the	the	DT
cord-354953-q1imoe7k	255	11	simulation	simulation	NN
cord-354953-q1imoe7k	255	12	results	result	NNS
cord-354953-q1imoe7k	255	13	of	of	IN
cord-354953-q1imoe7k	255	14	the	the	DT
cord-354953-q1imoe7k	255	15	model	model	NN
cord-354953-q1imoe7k	255	16	are	be	VBP
cord-354953-q1imoe7k	255	17	in	in	IN
cord-354953-q1imoe7k	255	18	good	good	JJ
cord-354953-q1imoe7k	255	19	agreement	agreement	NN
cord-354953-q1imoe7k	255	20	with	with	IN
cord-354953-q1imoe7k	255	21	the	the	DT
cord-354953-q1imoe7k	255	22	real	real	JJ
cord-354953-q1imoe7k	255	23	disease	disease	NN
cord-354953-q1imoe7k	255	24	data	datum	NNS
cord-354953-q1imoe7k	255	25	,	,	,
cord-354953-q1imoe7k	255	26	which	which	WDT
cord-354953-q1imoe7k	255	27	in	in	IN
cord-354953-q1imoe7k	255	28	a	a	DT
cord-354953-q1imoe7k	255	29	sense	sense	NN
cord-354953-q1imoe7k	255	30	explains	explain	VBZ
cord-354953-q1imoe7k	255	31	the	the	DT
cord-354953-q1imoe7k	255	32	applicability	applicability	NN
cord-354953-q1imoe7k	255	33	of	of	IN
cord-354953-q1imoe7k	255	34	the	the	DT
cord-354953-q1imoe7k	255	35	proposed	propose	VBN
cord-354953-q1imoe7k	255	36	model	model	NN
cord-354953-q1imoe7k	255	37	.	.	.
cord-354953-q1imoe7k	256	1	Through	through	IN
cord-354953-q1imoe7k	256	2	visualizing	visualize	VBG
cord-354953-q1imoe7k	256	3	and	and	CC
cord-354953-q1imoe7k	256	4	examining	examine	VBG
cord-354953-q1imoe7k	256	5	efforts	effort	NNS
cord-354953-q1imoe7k	256	6	of	of	IN
cord-354953-q1imoe7k	256	7	all	all	DT
cord-354953-q1imoe7k	256	8	kinds	kind	NNS
cord-354953-q1imoe7k	256	9	of	of	IN
cord-354953-q1imoe7k	256	10	interventions	intervention	NNS
cord-354953-q1imoe7k	256	11	,	,	,
cord-354953-q1imoe7k	256	12	the	the	DT
cord-354953-q1imoe7k	256	13	model	model	NN
cord-354953-q1imoe7k	256	14	can	can	MD
cord-354953-q1imoe7k	256	15	provide	provide	VB
cord-354953-q1imoe7k	256	16	decision	decision	NN
cord-354953-q1imoe7k	256	17	-	-	HYPH
cord-354953-q1imoe7k	256	18	making	make	VBG
cord-354953-q1imoe7k	256	19	support	support	NN
cord-354953-q1imoe7k	256	20	for	for	IN
cord-354953-q1imoe7k	256	21	prevention	prevention	NN
cord-354953-q1imoe7k	256	22	and	and	CC
cord-354953-q1imoe7k	256	23	control	control	NN
cord-354953-q1imoe7k	256	24	of	of	IN
cord-354953-q1imoe7k	256	25	infectious	infectious	JJ
cord-354953-q1imoe7k	256	26	diseases	disease	NNS
cord-354953-q1imoe7k	256	27	.	.	.
cord-354953-q1imoe7k	257	1	for	for	IN
cord-354953-q1imoe7k	257	2	his	-PRON-	PRP$
cord-354953-q1imoe7k	257	3	critical	critical	JJ
cord-354953-q1imoe7k	257	4	reading	reading	NN
cord-354953-q1imoe7k	257	5	of	of	IN
cord-354953-q1imoe7k	257	6	the	the	DT
cord-354953-q1imoe7k	257	7	manuscript	manuscript	NN
cord-354953-q1imoe7k	257	8	and	and	CC
cord-354953-q1imoe7k	257	9	Li	Li	NNP
cord-354953-q1imoe7k	257	10	B.	B.	NNP
cord-354953-q1imoe7k	257	11	T.	T.	NNP
cord-354953-q1imoe7k	257	12	for	for	IN
cord-354953-q1imoe7k	257	13	his	-PRON-	PRP$
cord-354953-q1imoe7k	257	14	careful	careful	JJ
cord-354953-q1imoe7k	257	15	copy	copy	NN
cord-354953-q1imoe7k	257	16	-	-	HYPH
cord-354953-q1imoe7k	257	17	editing	editing	NN
cord-354953-q1imoe7k	257	18	of	of	IN
cord-354953-q1imoe7k	257	19	it	-PRON-	PRP
cord-354953-q1imoe7k	257	20	.	.	.
cord-354953-q1imoe7k	258	1	The	the	DT
cord-354953-q1imoe7k	258	2	anonymous	anonymous	JJ
cord-354953-q1imoe7k	258	3	reviewers	reviewer	NNS
cord-354953-q1imoe7k	258	4	are	be	VBP
cord-354953-q1imoe7k	258	5	thanked	thank	VBN
cord-354953-q1imoe7k	258	6	for	for	IN
cord-354953-q1imoe7k	258	7	their	-PRON-	PRP$
cord-354953-q1imoe7k	258	8	constructive	constructive	JJ
cord-354953-q1imoe7k	258	9	reviews	review	NNS
cord-354953-q1imoe7k	258	10	Modeling	model	VBG
cord-354953-q1imoe7k	258	11	epidemics	epidemic	NNS
cord-354953-q1imoe7k	258	12	using	use	VBG
cord-354953-q1imoe7k	258	13	cellular	cellular	JJ
cord-354953-q1imoe7k	258	14	automata	automaton	NNS
cord-354953-q1imoe7k	258	15	Cellular	cellular	JJ
cord-354953-q1imoe7k	258	16	automata	automaton	NNS
cord-354953-q1imoe7k	258	17	and	and	CC
cord-354953-q1imoe7k	258	18	epidemiological	epidemiological	JJ
cord-354953-q1imoe7k	258	19	models	model	NNS
cord-354953-q1imoe7k	258	20	with	with	IN
cord-354953-q1imoe7k	258	21	spatial	spatial	JJ
cord-354953-q1imoe7k	258	22	dependence	dependence	NN
cord-354953-q1imoe7k	258	23	Infectious	Infectious	NNP
cord-354953-q1imoe7k	258	24	Diseases	disease	NNS
cord-354953-q1imoe7k	258	25	of	of	IN
cord-354953-q1imoe7k	258	26	Humans	Humans	NNPS
cord-354953-q1imoe7k	258	27	:	:	:
cord-354953-q1imoe7k	258	28	Dynamics	dynamic	NNS
cord-354953-q1imoe7k	258	29	and	and	CC
cord-354953-q1imoe7k	258	30	Control	Control	NNP
cord-354953-q1imoe7k	259	1	On	on	IN
cord-354953-q1imoe7k	259	2	modeling	model	VBG
cord-354953-q1imoe7k	259	3	epidemics	epidemic	NNS
cord-354953-q1imoe7k	259	4	including	include	VBG
cord-354953-q1imoe7k	259	5	latency	latency	NN
cord-354953-q1imoe7k	259	6	,	,	,
cord-354953-q1imoe7k	259	7	incubation	incubation	NN
cord-354953-q1imoe7k	259	8	and	and	CC
cord-354953-q1imoe7k	259	9	variable	variable	JJ
cord-354953-q1imoe7k	259	10	susceptibility	susceptibility	NN
cord-354953-q1imoe7k	260	1	A	a	DT
cord-354953-q1imoe7k	260	2	cellular	cellular	JJ
cord-354953-q1imoe7k	260	3	automaton	automaton	NN
cord-354953-q1imoe7k	260	4	model	model	NN
cord-354953-q1imoe7k	260	5	for	for	IN
cord-354953-q1imoe7k	260	6	the	the	DT
cord-354953-q1imoe7k	260	7	effects	effect	NNS
cord-354953-q1imoe7k	260	8	of	of	IN
cord-354953-q1imoe7k	260	9	population	population	NN
cord-354953-q1imoe7k	260	10	movement	movement	NN
cord-354953-q1imoe7k	260	11	and	and	CC
cord-354953-q1imoe7k	260	12	vaccination	vaccination	NN
cord-354953-q1imoe7k	260	13	on	on	IN
cord-354953-q1imoe7k	260	14	epidemic	epidemic	NN
cord-354953-q1imoe7k	260	15	propagation	propagation	NN
cord-354953-q1imoe7k	260	16	Spatial	Spatial	NNP
cord-354953-q1imoe7k	260	17	Analysis	Analysis	NNP
cord-354953-q1imoe7k	260	18	Theory	Theory	NNP
cord-354953-q1imoe7k	260	19	of	of	IN
cord-354953-q1imoe7k	260	20	Self	self	NN
cord-354953-q1imoe7k	260	21	-	-	HYPH
cord-354953-q1imoe7k	260	22	Reproducing	reproduce	VBG
cord-354953-q1imoe7k	260	23	Automata	Automata	NNP
cord-354953-q1imoe7k	260	24	Cellular	Cellular	NNP
cord-354953-q1imoe7k	260	25	automata	automata	NN
cord-354953-q1imoe7k	260	26	modelling	modelling	NN
cord-354953-q1imoe7k	260	27	of	of	IN
cord-354953-q1imoe7k	260	28	SEIRS	SEIRS	NNP
cord-354953-q1imoe7k	260	29	Modeling	model	VBG
cord-354953-q1imoe7k	260	30	infectious	infectious	JJ
cord-354953-q1imoe7k	260	31	diseases	disease	NNS
cord-354953-q1imoe7k	260	32	using	use	VBG
cord-354953-q1imoe7k	260	33	global	global	JJ
cord-354953-q1imoe7k	260	34	stochastic	stochastic	JJ
cord-354953-q1imoe7k	260	35	cellular	cellular	JJ
cord-354953-q1imoe7k	260	36	automata	automata	NN
cord-354953-q1imoe7k	260	37	epidemiological	epidemiological	JJ
cord-354953-q1imoe7k	260	38	modeling	modeling	NN
cord-354953-q1imoe7k	260	39	and	and	CC
cord-354953-q1imoe7k	260	40	public	public	JJ
cord-354953-q1imoe7k	260	41	health	health	NN
cord-354953-q1imoe7k	260	42	policy	policy	NN
cord-354953-q1imoe7k	260	43	assessments	assessment	NNS
cord-354953-q1imoe7k	260	44	Discovery	Discovery	NNP
cord-354953-q1imoe7k	260	45	of	of	IN
cord-354953-q1imoe7k	260	46	transition	transition	NN
cord-354953-q1imoe7k	260	47	rules	rule	NNS
cord-354953-q1imoe7k	260	48	for	for	IN
cord-354953-q1imoe7k	260	49	geographical	geographical	JJ
cord-354953-q1imoe7k	260	50	cellular	cellular	JJ
cord-354953-q1imoe7k	260	51	automata	automaton	NNS
cord-354953-q1imoe7k	260	52	by	by	IN
cord-354953-q1imoe7k	260	53	using	use	VBG
cord-354953-q1imoe7k	260	54	ant	ant	NNP
cord-354953-q1imoe7k	260	55	colony	colony	NN
cord-354953-q1imoe7k	260	56	optimization	optimization	NN
cord-354953-q1imoe7k	261	1	Do	do	VBP
cord-354953-q1imoe7k	261	2	irregular	irregular	JJ
cord-354953-q1imoe7k	261	3	grids	grid	NNS
cord-354953-q1imoe7k	261	4	make	make	VB
cord-354953-q1imoe7k	261	5	a	a	DT
cord-354953-q1imoe7k	261	6	difference	difference	NN
cord-354953-q1imoe7k	261	7	?	?	.
cord-354953-q1imoe7k	262	1	Relaxing	relax	VBG
cord-354953-q1imoe7k	262	2	the	the	DT
cord-354953-q1imoe7k	262	3	spatial	spatial	JJ
cord-354953-q1imoe7k	262	4	regularity	regularity	NN
cord-354953-q1imoe7k	262	5	assumption	assumption	NN
cord-354953-q1imoe7k	262	6	in	in	IN
cord-354953-q1imoe7k	262	7	cellular	cellular	JJ
cord-354953-q1imoe7k	262	8	models	model	NNS
cord-354953-q1imoe7k	262	9	of	of	IN
cord-354953-q1imoe7k	262	10	social	social	JJ
cord-354953-q1imoe7k	262	11	dynamics	dynamic	NNS
cord-354953-q1imoe7k	263	1	An	an	DT
cord-354953-q1imoe7k	263	2	vector	vector	NN
cord-354953-q1imoe7k	263	3	-	-	HYPH
cord-354953-q1imoe7k	263	4	based	base	VBN
cord-354953-q1imoe7k	263	5	geographic	geographic	JJ
cord-354953-q1imoe7k	263	6	cellular	cellular	JJ
cord-354953-q1imoe7k	263	7	automata	automata	NN
cord-354953-q1imoe7k	263	8	model	model	NN
cord-354953-q1imoe7k	263	9	allowing	allow	VBG
cord-354953-q1imoe7k	263	10	geometric	geometric	JJ
cord-354953-q1imoe7k	263	11	transformations	transformation	NNS
cord-354953-q1imoe7k	263	12	of	of	IN
cord-354953-q1imoe7k	263	13	objects	object	NNS
cord-354953-q1imoe7k	263	14	Epidemic	epidemic	NN
cord-354953-q1imoe7k	263	15	spreading	spread	VBG
cord-354953-q1imoe7k	263	16	in	in	IN
cord-354953-q1imoe7k	263	17	scale	scale	NN
cord-354953-q1imoe7k	263	18	-	-	HYPH
cord-354953-q1imoe7k	263	19	free	free	JJ
cord-354953-q1imoe7k	263	20	networks	network	NNS
cord-354953-q1imoe7k	263	21	Complex	complex	JJ
cord-354953-q1imoe7k	263	22	networks	network	NNS
cord-354953-q1imoe7k	263	23	:	:	:
cord-354953-q1imoe7k	264	1	Topology	topology	NN
cord-354953-q1imoe7k	264	2	,	,	,
cord-354953-q1imoe7k	264	3	dynamics	dynamic	NNS
cord-354953-q1imoe7k	264	4	and	and	CC
cord-354953-q1imoe7k	264	5	synchronization	synchronization	NN
cord-354953-q1imoe7k	264	6	Velocity	velocity	NN
cord-354953-q1imoe7k	264	7	and	and	CC
cord-354953-q1imoe7k	264	8	hierarchical	hierarchical	JJ
cord-354953-q1imoe7k	264	9	spread	spread	NN
cord-354953-q1imoe7k	264	10	of	of	IN
cord-354953-q1imoe7k	264	11	epidemic	epidemic	NN
cord-354953-q1imoe7k	264	12	outbreaks	outbreak	NNS
cord-354953-q1imoe7k	264	13	in	in	IN
cord-354953-q1imoe7k	264	14	scale	scale	NN
cord-354953-q1imoe7k	264	15	-	-	HYPH
cord-354953-q1imoe7k	264	16	free	free	JJ
cord-354953-q1imoe7k	264	17	networks	network	NNS
cord-354953-q1imoe7k	265	1	The	the	DT
cord-354953-q1imoe7k	265	2	impacts	impact	NNS
cord-354953-q1imoe7k	265	3	of	of	IN
cord-354953-q1imoe7k	265	4	network	network	NN
cord-354953-q1imoe7k	265	5	topology	topology	NN
cord-354953-q1imoe7k	265	6	on	on	IN
cord-354953-q1imoe7k	265	7	disease	disease	NN
cord-354953-q1imoe7k	265	8	spread	spread	VBD
cord-354953-q1imoe7k	265	9	Epidemic	epidemic	NN
cord-354953-q1imoe7k	265	10	processes	process	NNS
cord-354953-q1imoe7k	265	11	on	on	IN
cord-354953-q1imoe7k	265	12	complex	complex	JJ
cord-354953-q1imoe7k	265	13	networks	network	NNS
cord-354953-q1imoe7k	265	14	:	:	:
cord-354953-q1imoe7k	265	15	The	the	DT
cord-354953-q1imoe7k	265	16	effect	effect	NN
cord-354953-q1imoe7k	265	17	of	of	IN
cord-354953-q1imoe7k	265	18	topology	topology	NN
cord-354953-q1imoe7k	265	19	on	on	IN
cord-354953-q1imoe7k	265	20	the	the	DT
cord-354953-q1imoe7k	265	21	spread	spread	NN
cord-354953-q1imoe7k	265	22	of	of	IN
cord-354953-q1imoe7k	265	23	epidemics	epidemic	NNS
cord-354953-q1imoe7k	265	24	Epidemic	epidemic	NN
cord-354953-q1imoe7k	265	25	spreading	spread	VBG
cord-354953-q1imoe7k	265	26	in	in	IN
cord-354953-q1imoe7k	265	27	a	a	DT
cord-354953-q1imoe7k	265	28	scale	scale	NN
cord-354953-q1imoe7k	265	29	-	-	HYPH
cord-354953-q1imoe7k	265	30	free	free	JJ
cord-354953-q1imoe7k	265	31	network	network	NN
cord-354953-q1imoe7k	265	32	of	of	IN
cord-354953-q1imoe7k	265	33	regular	regular	JJ
cord-354953-q1imoe7k	265	34	lattices	lattice	NNS
cord-354953-q1imoe7k	265	35	Mathematical	Mathematical	NNP
cord-354953-q1imoe7k	265	36	Models	Models	NNPS
cord-354953-q1imoe7k	265	37	in	in	IN
cord-354953-q1imoe7k	265	38	Biology	biology	NN
cord-354953-q1imoe7k	265	39	:	:	:
cord-354953-q1imoe7k	265	40	An	an	DT
cord-354953-q1imoe7k	265	41	Introduction	introduction	NN
cord-354953-q1imoe7k	265	42	A	a	DT
cord-354953-q1imoe7k	265	43	computer	computer	NN
cord-354953-q1imoe7k	265	44	movie	movie	NN
cord-354953-q1imoe7k	265	45	simulating	simulate	VBG
cord-354953-q1imoe7k	265	46	urban	urban	JJ
cord-354953-q1imoe7k	265	47	growth	growth	NN
cord-354953-q1imoe7k	265	48	in	in	IN
cord-354953-q1imoe7k	265	49	the	the	DT
cord-354953-q1imoe7k	265	50	Detroit	Detroit	NNP
cord-354953-q1imoe7k	265	51	region	region	NN
cord-354953-q1imoe7k	265	52	Spatial	Spatial	NNP
cord-354953-q1imoe7k	265	53	Autocorrelation	Autocorrelation	NNP
cord-354953-q1imoe7k	265	54	Spatial	Spatial	NNP
cord-354953-q1imoe7k	265	55	Processes	process	NNS
cord-354953-q1imoe7k	265	56	:	:	:
cord-354953-q1imoe7k	265	57	Models	model	NNS
cord-354953-q1imoe7k	265	58	and	and	CC
cord-354953-q1imoe7k	265	59	Applications	Applications	NNPS
cord-354953-q1imoe7k	265	60	Linear	Linear	NNP
cord-354953-q1imoe7k	265	61	Operators	Operators	NNPS
cord-354953-q1imoe7k	265	62	Applied	apply	VBD
cord-354953-q1imoe7k	265	63	to	to	IN
cord-354953-q1imoe7k	265	64	Areal	Areal	NNP
cord-354953-q1imoe7k	265	65	Data	Data	NNP
cord-354953-q1imoe7k	265	66	YUE	YUE	NNP
cord-354953-q1imoe7k	265	67	-	-	HYPH
cord-354953-q1imoe7k	265	68	SMPD	SMPD	NNP
cord-354953-q1imoe7k	265	69	scenarios	scenario	NNS
cord-354953-q1imoe7k	265	70	of	of	IN
cord-354953-q1imoe7k	265	71	Beijing	Beijing	NNP
cord-354953-q1imoe7k	265	72	population	population	NN
cord-354953-q1imoe7k	265	73	distribution	distribution	NN
cord-354953-q1imoe7k	265	74	(	(	-LRB-
cord-354953-q1imoe7k	265	75	in	in	IN
cord-354953-q1imoe7k	265	76	Chinese	Chinese	NNP
cord-354953-q1imoe7k	265	77	)	)	-RRB-
cord-354953-q1imoe7k	265	78	Understanding	understand	VBG
cord-354953-q1imoe7k	265	79	the	the	DT
cord-354953-q1imoe7k	265	80	spatial	spatial	JJ
cord-354953-q1imoe7k	265	81	diffusion	diffusion	NN
cord-354953-q1imoe7k	265	82	process	process	NN
cord-354953-q1imoe7k	265	83	of	of	IN
cord-354953-q1imoe7k	265	84	SARS	SARS	NNP
cord-354953-q1imoe7k	265	85	in	in	IN
cord-354953-q1imoe7k	265	86	Beijing	Beijing	NNP
cord-354953-q1imoe7k	265	87	Spatial	spatial	JJ
cord-354953-q1imoe7k	265	88	dynamics	dynamic	NNS
cord-354953-q1imoe7k	265	89	of	of	IN
cord-354953-q1imoe7k	265	90	an	an	DT
cord-354953-q1imoe7k	265	91	epidemic	epidemic	NN
cord-354953-q1imoe7k	265	92	of	of	IN
cord-354953-q1imoe7k	265	93	severe	severe	JJ
cord-354953-q1imoe7k	265	94	acute	acute	JJ
cord-354953-q1imoe7k	265	95	respiratory	respiratory	JJ
cord-354953-q1imoe7k	265	96	syndrome	syndrome	NN
cord-354953-q1imoe7k	265	97	in	in	IN
cord-354953-q1imoe7k	265	98	an	an	DT
cord-354953-q1imoe7k	265	99	urban	urban	JJ
cord-354953-q1imoe7k	265	100	area	area	NN
cord-354953-q1imoe7k	266	1	Congruent	congruent	JJ
cord-354953-q1imoe7k	266	2	epidemic	epidemic	NN
cord-354953-q1imoe7k	266	3	models	model	NNS
cord-354953-q1imoe7k	266	4	for	for	IN
cord-354953-q1imoe7k	266	5	unstructured	unstructured	JJ
cord-354953-q1imoe7k	266	6	and	and	CC
cord-354953-q1imoe7k	266	7	structured	structured	JJ
cord-354953-q1imoe7k	266	8	populations	population	NNS
cord-354953-q1imoe7k	266	9	:	:	:
cord-354953-q1imoe7k	267	1	Analytical	analytical	JJ
cord-354953-q1imoe7k	267	2	reconstruction	reconstruction	NN
cord-354953-q1imoe7k	267	3	of	of	IN
cord-354953-q1imoe7k	267	4	a	a	DT
cord-354953-q1imoe7k	267	5	2003	2003	CD
cord-354953-q1imoe7k	267	6	SARS	SARS	NNP
cord-354953-q1imoe7k	267	7	outbreak	outbreak	NN
cord-354953-q1imoe7k	267	8	Airline	Airline	NNP
cord-354953-q1imoe7k	267	9	networks	network	NNS
cord-354953-q1imoe7k	267	10	and	and	CC
cord-354953-q1imoe7k	267	11	the	the	DT
cord-354953-q1imoe7k	267	12	international	international	JJ
cord-354953-q1imoe7k	267	13	diffusion	diffusion	NN
cord-354953-q1imoe7k	267	14	of	of	IN
cord-354953-q1imoe7k	267	15	severe	severe	JJ
cord-354953-q1imoe7k	267	16	acute	acute	JJ
cord-354953-q1imoe7k	267	17	respiratory	respiratory	JJ
cord-354953-q1imoe7k	267	18	syndrome	syndrome	NN
cord-354953-q1imoe7k	267	19	(	(	-LRB-
cord-354953-q1imoe7k	267	20	SARS	SARS	NNP
cord-354953-q1imoe7k	267	21	)	)	-RRB-
cord-354953-q1imoe7k	268	1	The	the	DT
cord-354953-q1imoe7k	268	2	effect	effect	NN
cord-354953-q1imoe7k	268	3	of	of	IN
cord-354953-q1imoe7k	268	4	global	global	JJ
cord-354953-q1imoe7k	268	5	travel	travel	NN
cord-354953-q1imoe7k	268	6	on	on	IN
cord-354953-q1imoe7k	268	7	the	the	DT
cord-354953-q1imoe7k	268	8	spread	spread	NN
cord-354953-q1imoe7k	268	9	of	of	IN
cord-354953-q1imoe7k	268	10	SARS	SARS	NNP
cord-354953-q1imoe7k	268	11	Data	Data	NNP
cord-354953-q1imoe7k	268	12	-	-	HYPH
cord-354953-q1imoe7k	268	13	driven	drive	VBN
cord-354953-q1imoe7k	268	14	exploration	exploration	NN
cord-354953-q1imoe7k	268	15	of	of	IN
cord-354953-q1imoe7k	268	16	"	"	``
cord-354953-q1imoe7k	268	17	spatial	spatial	JJ
cord-354953-q1imoe7k	268	18	pattern	pattern	NN
cord-354953-q1imoe7k	268	19	-	-	HYPH
cord-354953-q1imoe7k	268	20	time	time	NN
cord-354953-q1imoe7k	268	21	process	process	NN
cord-354953-q1imoe7k	268	22	-	-	HYPH
cord-354953-q1imoe7k	268	23	driving	drive	VBG
cord-354953-q1imoe7k	268	24	forces	force	NNS
cord-354953-q1imoe7k	268	25	"	"	''
cord-354953-q1imoe7k	268	26	associations	association	NNS
cord-354953-q1imoe7k	268	27	of	of	IN
cord-354953-q1imoe7k	268	28	SARS	SARS	NNP
cord-354953-q1imoe7k	268	29	epidemic	epidemic	NN
cord-354953-q1imoe7k	268	30	in	in	IN
cord-354953-q1imoe7k	268	31	Beijing	Beijing	NNP