id	sid	tid	token	lemma	pos
cord-333088-ygdau2px	1	1	key	key	NN
cord-333088-ygdau2px	1	2	:	:	:
cord-333088-ygdau2px	2	1	cord-333088-ygdau2px	cord-333088-ygdau2px	NNP
cord-333088-ygdau2px	2	2	authors	author	NNS
cord-333088-ygdau2px	2	3	:	:	:
cord-333088-ygdau2px	2	4	Roy	Roy	NNP
cord-333088-ygdau2px	2	5	,	,	,
cord-333088-ygdau2px	2	6	Manojit	Manojit	NNP
cord-333088-ygdau2px	2	7	;	;	:
cord-333088-ygdau2px	2	8	Pascual	Pascual	NNP
cord-333088-ygdau2px	2	9	,	,	,
cord-333088-ygdau2px	2	10	Mercedes	Mercedes	NNP
cord-333088-ygdau2px	2	11	title	title	NN
cord-333088-ygdau2px	2	12	:	:	:
cord-333088-ygdau2px	3	1	On	on	IN
cord-333088-ygdau2px	3	2	representing	represent	VBG
cord-333088-ygdau2px	3	3	network	network	NN
cord-333088-ygdau2px	3	4	heterogeneities	heterogeneity	NNS
cord-333088-ygdau2px	3	5	in	in	IN
cord-333088-ygdau2px	3	6	the	the	DT
cord-333088-ygdau2px	3	7	incidence	incidence	NN
cord-333088-ygdau2px	3	8	rate	rate	NN
cord-333088-ygdau2px	3	9	of	of	IN
cord-333088-ygdau2px	3	10	simple	simple	JJ
cord-333088-ygdau2px	3	11	epidemic	epidemic	NN
cord-333088-ygdau2px	3	12	models	model	NNS
cord-333088-ygdau2px	3	13	date	date	NN
cord-333088-ygdau2px	3	14	:	:	:
cord-333088-ygdau2px	3	15	2006	2006	CD
cord-333088-ygdau2px	3	16	-	-	HYPH
cord-333088-ygdau2px	3	17	03	03	CD
cord-333088-ygdau2px	3	18	-	-	HYPH
cord-333088-ygdau2px	3	19	31	31	CD
cord-333088-ygdau2px	3	20	journal	journal	NN
cord-333088-ygdau2px	3	21	:	:	:
cord-333088-ygdau2px	4	1	Ecological	ecological	JJ
cord-333088-ygdau2px	4	2	Complexity	Complexity	NNP
cord-333088-ygdau2px	4	3	DOI	DOI	NNP
cord-333088-ygdau2px	4	4	:	:	:
cord-333088-ygdau2px	4	5	10.1016	10.1016	CD
cord-333088-ygdau2px	5	1	/j.ecocom.2005.09.001	/j.ecocom.2005.09.001	NFP
cord-333088-ygdau2px	5	2	sha	sha	NNP
cord-333088-ygdau2px	5	3	:	:	:
cord-333088-ygdau2px	6	1	9f7d73fd3aa0cafe0ca27fc36de47c9038412c21	9f7d73fd3aa0cafe0ca27fc36de47c9038412c21	LS
cord-333088-ygdau2px	6	2	doc_id	doc_id	CD
cord-333088-ygdau2px	6	3	:	:	:
cord-333088-ygdau2px	6	4	333088	333088	CD
cord-333088-ygdau2px	6	5	cord_uid	cord_uid	NNS
cord-333088-ygdau2px	6	6	:	:	:
cord-333088-ygdau2px	7	1	ygdau2px	ygdau2px	NNP
cord-333088-ygdau2px	7	2	Abstract	Abstract	NNP
cord-333088-ygdau2px	7	3	Mean	Mean	NNP
cord-333088-ygdau2px	7	4	-	-	HYPH
cord-333088-ygdau2px	7	5	field	field	NN
cord-333088-ygdau2px	7	6	ecological	ecological	JJ
cord-333088-ygdau2px	7	7	models	model	NNS
cord-333088-ygdau2px	7	8	ignore	ignore	VBP
cord-333088-ygdau2px	7	9	space	space	NN
cord-333088-ygdau2px	7	10	and	and	CC
cord-333088-ygdau2px	7	11	other	other	JJ
cord-333088-ygdau2px	7	12	forms	form	NNS
cord-333088-ygdau2px	7	13	of	of	IN
cord-333088-ygdau2px	7	14	contact	contact	NN
cord-333088-ygdau2px	7	15	structure	structure	NN
cord-333088-ygdau2px	7	16	.	.	.
cord-333088-ygdau2px	8	1	At	at	IN
cord-333088-ygdau2px	8	2	the	the	DT
cord-333088-ygdau2px	8	3	opposite	opposite	JJ
cord-333088-ygdau2px	8	4	extreme	extreme	JJ
cord-333088-ygdau2px	8	5	,	,	,
cord-333088-ygdau2px	8	6	high	high	JJ
cord-333088-ygdau2px	8	7	-	-	HYPH
cord-333088-ygdau2px	8	8	dimensional	dimensional	JJ
cord-333088-ygdau2px	8	9	models	model	NNS
cord-333088-ygdau2px	8	10	that	that	WDT
cord-333088-ygdau2px	8	11	are	be	VBP
cord-333088-ygdau2px	8	12	both	both	DT
cord-333088-ygdau2px	8	13	individual	individual	NN
cord-333088-ygdau2px	8	14	-	-	HYPH
cord-333088-ygdau2px	8	15	based	base	VBN
cord-333088-ygdau2px	8	16	and	and	CC
cord-333088-ygdau2px	8	17	stochastic	stochastic	NN
cord-333088-ygdau2px	8	18	incorporate	incorporate	VB
cord-333088-ygdau2px	8	19	the	the	DT
cord-333088-ygdau2px	8	20	distributed	distribute	VBN
cord-333088-ygdau2px	8	21	nature	nature	NN
cord-333088-ygdau2px	8	22	of	of	IN
cord-333088-ygdau2px	8	23	ecological	ecological	JJ
cord-333088-ygdau2px	8	24	interactions	interaction	NNS
cord-333088-ygdau2px	8	25	.	.	.
cord-333088-ygdau2px	9	1	In	in	IN
cord-333088-ygdau2px	9	2	between	between	IN
cord-333088-ygdau2px	9	3	,	,	,
cord-333088-ygdau2px	9	4	moment	moment	NN
cord-333088-ygdau2px	9	5	approximations	approximation	NNS
cord-333088-ygdau2px	9	6	have	have	VBP
cord-333088-ygdau2px	9	7	been	be	VBN
cord-333088-ygdau2px	9	8	proposed	propose	VBN
cord-333088-ygdau2px	9	9	that	that	WDT
cord-333088-ygdau2px	9	10	represent	represent	VBP
cord-333088-ygdau2px	9	11	the	the	DT
cord-333088-ygdau2px	9	12	effect	effect	NN
cord-333088-ygdau2px	9	13	of	of	IN
cord-333088-ygdau2px	9	14	correlations	correlation	NNS
cord-333088-ygdau2px	9	15	on	on	IN
cord-333088-ygdau2px	9	16	the	the	DT
cord-333088-ygdau2px	9	17	dynamics	dynamic	NNS
cord-333088-ygdau2px	9	18	of	of	IN
cord-333088-ygdau2px	9	19	mean	mean	JJ
cord-333088-ygdau2px	9	20	quantities	quantity	NNS
cord-333088-ygdau2px	9	21	.	.	.
cord-333088-ygdau2px	10	1	As	as	IN
cord-333088-ygdau2px	10	2	an	an	DT
cord-333088-ygdau2px	10	3	alternative	alternative	NN
cord-333088-ygdau2px	10	4	closer	close	RBR
cord-333088-ygdau2px	10	5	to	to	IN
cord-333088-ygdau2px	10	6	the	the	DT
cord-333088-ygdau2px	10	7	typical	typical	JJ
cord-333088-ygdau2px	10	8	temporal	temporal	JJ
cord-333088-ygdau2px	10	9	models	model	NNS
cord-333088-ygdau2px	10	10	used	use	VBN
cord-333088-ygdau2px	10	11	in	in	IN
cord-333088-ygdau2px	10	12	ecology	ecology	NN
cord-333088-ygdau2px	10	13	,	,	,
cord-333088-ygdau2px	10	14	we	-PRON-	PRP
cord-333088-ygdau2px	10	15	present	present	VBP
cord-333088-ygdau2px	10	16	here	here	RB
cord-333088-ygdau2px	10	17	results	result	VBZ
cord-333088-ygdau2px	10	18	on	on	IN
cord-333088-ygdau2px	10	19	“	"	``
cord-333088-ygdau2px	10	20	modified	modify	VBN
cord-333088-ygdau2px	10	21	mean	mean	NN
cord-333088-ygdau2px	10	22	-	-	HYPH
cord-333088-ygdau2px	10	23	field	field	NN
cord-333088-ygdau2px	10	24	equations	equation	NNS
cord-333088-ygdau2px	10	25	”	"	''
cord-333088-ygdau2px	10	26	for	for	IN
cord-333088-ygdau2px	10	27	infectious	infectious	JJ
cord-333088-ygdau2px	10	28	disease	disease	NN
cord-333088-ygdau2px	10	29	dynamics	dynamic	NNS
cord-333088-ygdau2px	10	30	,	,	,
cord-333088-ygdau2px	10	31	in	in	IN
cord-333088-ygdau2px	10	32	which	which	WDT
cord-333088-ygdau2px	10	33	only	only	RB
cord-333088-ygdau2px	10	34	mean	mean	JJ
cord-333088-ygdau2px	10	35	quantities	quantity	NNS
cord-333088-ygdau2px	10	36	are	be	VBP
cord-333088-ygdau2px	10	37	followed	follow	VBN
cord-333088-ygdau2px	10	38	and	and	CC
cord-333088-ygdau2px	10	39	the	the	DT
cord-333088-ygdau2px	10	40	effect	effect	NN
cord-333088-ygdau2px	10	41	of	of	IN
cord-333088-ygdau2px	10	42	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	10	43	mixing	mixing	NN
cord-333088-ygdau2px	10	44	is	be	VBZ
cord-333088-ygdau2px	10	45	incorporated	incorporate	VBN
cord-333088-ygdau2px	10	46	implicitly	implicitly	RB
cord-333088-ygdau2px	10	47	.	.	.
cord-333088-ygdau2px	11	1	We	-PRON-	PRP
cord-333088-ygdau2px	11	2	specifically	specifically	RB
cord-333088-ygdau2px	11	3	investigate	investigate	VBP
cord-333088-ygdau2px	11	4	the	the	DT
cord-333088-ygdau2px	11	5	previously	previously	RB
cord-333088-ygdau2px	11	6	proposed	propose	VBN
cord-333088-ygdau2px	11	7	empirical	empirical	JJ
cord-333088-ygdau2px	11	8	parameterization	parameterization	NN
cord-333088-ygdau2px	11	9	of	of	IN
cord-333088-ygdau2px	11	10	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	11	11	mixing	mixing	NN
cord-333088-ygdau2px	11	12	in	in	IN
cord-333088-ygdau2px	11	13	which	which	WDT
cord-333088-ygdau2px	11	14	the	the	DT
cord-333088-ygdau2px	11	15	bilinear	bilinear	JJ
cord-333088-ygdau2px	11	16	incidence	incidence	NN
cord-333088-ygdau2px	11	17	rate	rate	NN
cord-333088-ygdau2px	11	18	SI	SI	NNP
cord-333088-ygdau2px	11	19	is	be	VBZ
cord-333088-ygdau2px	11	20	replaced	replace	VBN
cord-333088-ygdau2px	11	21	by	by	IN
cord-333088-ygdau2px	11	22	a	a	DT
cord-333088-ygdau2px	11	23	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	11	24	term	term	NN
cord-333088-ygdau2px	11	25	kS	ks	ADD
cord-333088-ygdau2px	12	1	p	p	NN
cord-333088-ygdau2px	12	2	I	-PRON-	PRP
cord-333088-ygdau2px	12	3	q	q	NNP
cord-333088-ygdau2px	12	4	,	,	,
cord-333088-ygdau2px	12	5	for	for	IN
cord-333088-ygdau2px	12	6	the	the	DT
cord-333088-ygdau2px	12	7	case	case	NN
cord-333088-ygdau2px	12	8	of	of	IN
cord-333088-ygdau2px	12	9	stochastic	stochastic	JJ
cord-333088-ygdau2px	12	10	SIRS	SIRS	NNP
cord-333088-ygdau2px	12	11	dynamics	dynamic	NNS
cord-333088-ygdau2px	12	12	on	on	IN
cord-333088-ygdau2px	12	13	different	different	JJ
cord-333088-ygdau2px	12	14	contact	contact	NN
cord-333088-ygdau2px	12	15	networks	network	NNS
cord-333088-ygdau2px	12	16	,	,	,
cord-333088-ygdau2px	12	17	from	from	IN
cord-333088-ygdau2px	12	18	a	a	DT
cord-333088-ygdau2px	12	19	regular	regular	JJ
cord-333088-ygdau2px	12	20	lattice	lattice	NN
cord-333088-ygdau2px	12	21	to	to	IN
cord-333088-ygdau2px	12	22	a	a	DT
cord-333088-ygdau2px	12	23	random	random	JJ
cord-333088-ygdau2px	12	24	structure	structure	NN
cord-333088-ygdau2px	12	25	via	via	IN
cord-333088-ygdau2px	12	26	small	small	JJ
cord-333088-ygdau2px	12	27	-	-	HYPH
cord-333088-ygdau2px	12	28	world	world	NN
cord-333088-ygdau2px	12	29	configurations	configuration	NNS
cord-333088-ygdau2px	12	30	.	.	.
cord-333088-ygdau2px	13	1	We	-PRON-	PRP
cord-333088-ygdau2px	13	2	show	show	VBP
cord-333088-ygdau2px	13	3	that	that	IN
cord-333088-ygdau2px	13	4	,	,	,
cord-333088-ygdau2px	13	5	for	for	IN
cord-333088-ygdau2px	13	6	two	two	CD
cord-333088-ygdau2px	13	7	distinct	distinct	JJ
cord-333088-ygdau2px	13	8	dynamical	dynamical	JJ
cord-333088-ygdau2px	13	9	cases	case	NNS
cord-333088-ygdau2px	13	10	involving	involve	VBG
cord-333088-ygdau2px	13	11	a	a	DT
cord-333088-ygdau2px	13	12	stable	stable	JJ
cord-333088-ygdau2px	13	13	equilibrium	equilibrium	NN
cord-333088-ygdau2px	13	14	and	and	CC
cord-333088-ygdau2px	13	15	a	a	DT
cord-333088-ygdau2px	13	16	noisy	noisy	JJ
cord-333088-ygdau2px	13	17	endemic	endemic	JJ
cord-333088-ygdau2px	13	18	steady	steady	JJ
cord-333088-ygdau2px	13	19	state	state	NN
cord-333088-ygdau2px	13	20	,	,	,
cord-333088-ygdau2px	13	21	the	the	DT
cord-333088-ygdau2px	13	22	modified	modify	VBN
cord-333088-ygdau2px	13	23	mean	mean	NN
cord-333088-ygdau2px	13	24	-	-	HYPH
cord-333088-ygdau2px	13	25	field	field	NN
cord-333088-ygdau2px	13	26	model	model	NN
cord-333088-ygdau2px	13	27	approximates	approximate	VBZ
cord-333088-ygdau2px	13	28	successfully	successfully	RB
cord-333088-ygdau2px	13	29	the	the	DT
cord-333088-ygdau2px	13	30	steady	steady	JJ
cord-333088-ygdau2px	13	31	state	state	NN
cord-333088-ygdau2px	13	32	dynamics	dynamic	NNS
cord-333088-ygdau2px	13	33	as	as	RB
cord-333088-ygdau2px	13	34	well	well	RB
cord-333088-ygdau2px	13	35	as	as	IN
cord-333088-ygdau2px	13	36	the	the	DT
cord-333088-ygdau2px	13	37	respective	respective	JJ
cord-333088-ygdau2px	13	38	short	short	JJ
cord-333088-ygdau2px	13	39	and	and	CC
cord-333088-ygdau2px	13	40	long	long	JJ
cord-333088-ygdau2px	13	41	transients	transient	NNS
cord-333088-ygdau2px	13	42	of	of	IN
cord-333088-ygdau2px	13	43	decaying	decay	VBG
cord-333088-ygdau2px	13	44	cycles	cycle	NNS
cord-333088-ygdau2px	13	45	.	.	.
cord-333088-ygdau2px	14	1	This	this	DT
cord-333088-ygdau2px	14	2	result	result	NN
cord-333088-ygdau2px	14	3	demonstrates	demonstrate	VBZ
cord-333088-ygdau2px	14	4	that	that	IN
cord-333088-ygdau2px	14	5	early	early	RB
cord-333088-ygdau2px	14	6	on	on	RB
cord-333088-ygdau2px	14	7	in	in	IN
cord-333088-ygdau2px	14	8	the	the	DT
cord-333088-ygdau2px	14	9	transients	transient	NNS
cord-333088-ygdau2px	14	10	an	an	DT
cord-333088-ygdau2px	14	11	approximate	approximate	JJ
cord-333088-ygdau2px	14	12	power	power	NN
cord-333088-ygdau2px	14	13	-	-	HYPH
cord-333088-ygdau2px	14	14	law	law	NN
cord-333088-ygdau2px	14	15	relationship	relationship	NN
cord-333088-ygdau2px	14	16	is	be	VBZ
cord-333088-ygdau2px	14	17	established	establish	VBN
cord-333088-ygdau2px	14	18	between	between	IN
cord-333088-ygdau2px	14	19	global	global	JJ
cord-333088-ygdau2px	14	20	(	(	-LRB-
cord-333088-ygdau2px	14	21	mean	mean	JJ
cord-333088-ygdau2px	14	22	)	)	-RRB-
cord-333088-ygdau2px	14	23	quantities	quantity	NNS
cord-333088-ygdau2px	14	24	and	and	CC
cord-333088-ygdau2px	14	25	the	the	DT
cord-333088-ygdau2px	14	26	covariance	covariance	NN
cord-333088-ygdau2px	14	27	structure	structure	NN
cord-333088-ygdau2px	14	28	in	in	IN
cord-333088-ygdau2px	14	29	the	the	DT
cord-333088-ygdau2px	14	30	network	network	NN
cord-333088-ygdau2px	14	31	.	.	.
cord-333088-ygdau2px	15	1	The	the	DT
cord-333088-ygdau2px	15	2	approach	approach	NN
cord-333088-ygdau2px	15	3	fails	fail	VBZ
cord-333088-ygdau2px	15	4	in	in	IN
cord-333088-ygdau2px	15	5	the	the	DT
cord-333088-ygdau2px	15	6	more	more	RBR
cord-333088-ygdau2px	15	7	complex	complex	JJ
cord-333088-ygdau2px	15	8	case	case	NN
cord-333088-ygdau2px	15	9	of	of	IN
cord-333088-ygdau2px	15	10	persistent	persistent	JJ
cord-333088-ygdau2px	15	11	cycles	cycle	NNS
cord-333088-ygdau2px	15	12	observed	observe	VBN
cord-333088-ygdau2px	15	13	within	within	IN
cord-333088-ygdau2px	15	14	the	the	DT
cord-333088-ygdau2px	15	15	narrow	narrow	JJ
cord-333088-ygdau2px	15	16	range	range	NN
cord-333088-ygdau2px	15	17	of	of	IN
cord-333088-ygdau2px	15	18	small	small	JJ
cord-333088-ygdau2px	15	19	-	-	HYPH
cord-333088-ygdau2px	15	20	world	world	NN
cord-333088-ygdau2px	15	21	configurations	configuration	NNS
cord-333088-ygdau2px	15	22	.	.	.
cord-333088-ygdau2px	16	1	Most	Most	JJS
cord-333088-ygdau2px	16	2	population	population	NN
cord-333088-ygdau2px	16	3	models	model	NNS
cord-333088-ygdau2px	16	4	of	of	IN
cord-333088-ygdau2px	16	5	disease	disease	NN
cord-333088-ygdau2px	16	6	(	(	-LRB-
cord-333088-ygdau2px	16	7	Anderson	Anderson	NNP
cord-333088-ygdau2px	16	8	and	and	CC
cord-333088-ygdau2px	16	9	May	May	NNP
cord-333088-ygdau2px	16	10	,	,	,
cord-333088-ygdau2px	16	11	1992	1992	CD
cord-333088-ygdau2px	16	12	)	)	-RRB-
cord-333088-ygdau2px	16	13	assume	assume	VBP
cord-333088-ygdau2px	16	14	complete	complete	JJ
cord-333088-ygdau2px	16	15	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	16	16	mixing	mixing	NN
cord-333088-ygdau2px	16	17	,	,	,
cord-333088-ygdau2px	16	18	in	in	IN
cord-333088-ygdau2px	16	19	which	which	WDT
cord-333088-ygdau2px	16	20	an	an	DT
cord-333088-ygdau2px	16	21	individual	individual	NN
cord-333088-ygdau2px	16	22	can	can	MD
cord-333088-ygdau2px	16	23	interact	interact	VB
cord-333088-ygdau2px	16	24	with	with	IN
cord-333088-ygdau2px	16	25	all	all	DT
cord-333088-ygdau2px	16	26	others	other	NNS
cord-333088-ygdau2px	16	27	in	in	IN
cord-333088-ygdau2px	16	28	the	the	DT
cord-333088-ygdau2px	16	29	population	population	NN
cord-333088-ygdau2px	16	30	.	.	.
cord-333088-ygdau2px	17	1	In	in	IN
cord-333088-ygdau2px	17	2	these	these	DT
cord-333088-ygdau2px	17	3	well	well	RB
cord-333088-ygdau2px	17	4	-	-	HYPH
cord-333088-ygdau2px	17	5	mixed	mix	VBN
cord-333088-ygdau2px	17	6	models	model	NNS
cord-333088-ygdau2px	17	7	,	,	,
cord-333088-ygdau2px	17	8	the	the	DT
cord-333088-ygdau2px	17	9	disease	disease	NN
cord-333088-ygdau2px	17	10	incidence	incidence	NN
cord-333088-ygdau2px	17	11	rate	rate	NN
cord-333088-ygdau2px	17	12	is	be	VBZ
cord-333088-ygdau2px	17	13	typically	typically	RB
cord-333088-ygdau2px	17	14	represented	represent	VBN
cord-333088-ygdau2px	17	15	by	by	IN
cord-333088-ygdau2px	17	16	the	the	DT
cord-333088-ygdau2px	17	17	term	term	NN
cord-333088-ygdau2px	17	18	bSI	bSI	NNS
cord-333088-ygdau2px	17	19	that	that	WDT
cord-333088-ygdau2px	17	20	is	be	VBZ
cord-333088-ygdau2px	17	21	bilinear	bilinear	JJ
cord-333088-ygdau2px	17	22	in	in	IN
cord-333088-ygdau2px	17	23	S	s	NN
cord-333088-ygdau2px	18	1	and	and	CC
cord-333088-ygdau2px	18	2	I	-PRON-	PRP
cord-333088-ygdau2px	18	3	,	,	,
cord-333088-ygdau2px	18	4	the	the	DT
cord-333088-ygdau2px	18	5	number	number	NN
cord-333088-ygdau2px	18	6	of	of	IN
cord-333088-ygdau2px	18	7	susceptible	susceptible	JJ
cord-333088-ygdau2px	18	8	and	and	CC
cord-333088-ygdau2px	18	9	infective	infective	JJ
cord-333088-ygdau2px	18	10	individuals	individual	NNS
cord-333088-ygdau2px	18	11	(	(	-LRB-
cord-333088-ygdau2px	18	12	Bailey	Bailey	NNP
cord-333088-ygdau2px	18	13	,	,	,
cord-333088-ygdau2px	18	14	1975	1975	CD
cord-333088-ygdau2px	18	15	)	)	-RRB-
cord-333088-ygdau2px	19	1	,	,	,
cord-333088-ygdau2px	19	2	b	b	LS
cord-333088-ygdau2px	19	3	being	be	VBG
cord-333088-ygdau2px	19	4	the	the	DT
cord-333088-ygdau2px	19	5	transmission	transmission	NN
cord-333088-ygdau2px	19	6	coefficient	coefficient	NN
cord-333088-ygdau2px	19	7	.	.	.
cord-333088-ygdau2px	20	1	With	with	IN
cord-333088-ygdau2px	20	2	these	these	DT
cord-333088-ygdau2px	20	3	models	model	NNS
cord-333088-ygdau2px	20	4	it	-PRON-	PRP
cord-333088-ygdau2px	20	5	has	have	VBZ
cord-333088-ygdau2px	20	6	been	be	VBN
cord-333088-ygdau2px	20	7	possible	possible	JJ
cord-333088-ygdau2px	20	8	to	to	TO
cord-333088-ygdau2px	20	9	establish	establish	VB
cord-333088-ygdau2px	20	10	many	many	JJ
cord-333088-ygdau2px	20	11	important	important	JJ
cord-333088-ygdau2px	20	12	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	20	13	results	result	NNS
cord-333088-ygdau2px	20	14	,	,	,
cord-333088-ygdau2px	20	15	including	include	VBG
cord-333088-ygdau2px	20	16	the	the	DT
cord-333088-ygdau2px	20	17	existence	existence	NN
cord-333088-ygdau2px	20	18	of	of	IN
cord-333088-ygdau2px	20	19	a	a	DT
cord-333088-ygdau2px	20	20	population	population	NN
cord-333088-ygdau2px	20	21	threshold	threshold	NN
cord-333088-ygdau2px	20	22	for	for	IN
cord-333088-ygdau2px	20	23	the	the	DT
cord-333088-ygdau2px	20	24	spread	spread	NN
cord-333088-ygdau2px	20	25	of	of	IN
cord-333088-ygdau2px	20	26	disease	disease	NN
cord-333088-ygdau2px	20	27	and	and	CC
cord-333088-ygdau2px	20	28	the	the	DT
cord-333088-ygdau2px	20	29	vaccination	vaccination	NN
cord-333088-ygdau2px	20	30	levels	level	NNS
cord-333088-ygdau2px	20	31	required	require	VBN
cord-333088-ygdau2px	20	32	for	for	IN
cord-333088-ygdau2px	20	33	eradication	eradication	NN
cord-333088-ygdau2px	20	34	(	(	-LRB-
cord-333088-ygdau2px	20	35	Kermack	Kermack	NNP
cord-333088-ygdau2px	20	36	and	and	CC
cord-333088-ygdau2px	20	37	McKendrick	McKendrick	NNP
cord-333088-ygdau2px	20	38	,	,	,
cord-333088-ygdau2px	20	39	1927	1927	CD
cord-333088-ygdau2px	20	40	;	;	:
cord-333088-ygdau2px	20	41	Anderson	Anderson	NNP
cord-333088-ygdau2px	20	42	and	and	CC
cord-333088-ygdau2px	20	43	May	May	NNP
cord-333088-ygdau2px	20	44	,	,	,
cord-333088-ygdau2px	20	45	1992	1992	CD
cord-333088-ygdau2px	20	46	;	;	:
cord-333088-ygdau2px	20	47	Smith	Smith	NNP
cord-333088-ygdau2px	20	48	et	et	NNP
cord-333088-ygdau2px	20	49	al	al	NNP
cord-333088-ygdau2px	20	50	.	.	NNP
cord-333088-ygdau2px	20	51	,	,	,
cord-333088-ygdau2px	20	52	2005	2005	CD
cord-333088-ygdau2px	20	53	)	)	-RRB-
cord-333088-ygdau2px	20	54	.	.	.
cord-333088-ygdau2px	21	1	However	however	RB
cord-333088-ygdau2px	21	2	,	,	,
cord-333088-ygdau2px	21	3	individuals	individual	NNS
cord-333088-ygdau2px	21	4	are	be	VBP
cord-333088-ygdau2px	21	5	discrete	discrete	JJ
cord-333088-ygdau2px	21	6	and	and	CC
cord-333088-ygdau2px	21	7	not	not	RB
cord-333088-ygdau2px	21	8	well	well	RB
cord-333088-ygdau2px	21	9	-	-	HYPH
cord-333088-ygdau2px	21	10	mixed	mix	VBN
cord-333088-ygdau2px	21	11	;	;	:
cord-333088-ygdau2px	21	12	they	-PRON-	PRP
cord-333088-ygdau2px	21	13	usually	usually	RB
cord-333088-ygdau2px	21	14	interact	interact	VBP
cord-333088-ygdau2px	21	15	with	with	IN
cord-333088-ygdau2px	21	16	only	only	RB
cord-333088-ygdau2px	21	17	a	a	DT
cord-333088-ygdau2px	21	18	small	small	JJ
cord-333088-ygdau2px	21	19	subset	subset	NN
cord-333088-ygdau2px	21	20	of	of	IN
cord-333088-ygdau2px	21	21	the	the	DT
cord-333088-ygdau2px	21	22	population	population	NN
cord-333088-ygdau2px	21	23	at	at	IN
cord-333088-ygdau2px	21	24	any	any	DT
cord-333088-ygdau2px	21	25	given	give	VBN
cord-333088-ygdau2px	21	26	time	time	NN
cord-333088-ygdau2px	21	27	,	,	,
cord-333088-ygdau2px	21	28	thereby	thereby	RB
cord-333088-ygdau2px	21	29	imposing	impose	VBG
cord-333088-ygdau2px	21	30	a	a	DT
cord-333088-ygdau2px	21	31	distinctive	distinctive	JJ
cord-333088-ygdau2px	21	32	contact	contact	NN
cord-333088-ygdau2px	21	33	structure	structure	NN
cord-333088-ygdau2px	21	34	that	that	WDT
cord-333088-ygdau2px	21	35	can	can	MD
cord-333088-ygdau2px	21	36	not	not	RB
cord-333088-ygdau2px	21	37	be	be	VB
cord-333088-ygdau2px	21	38	represented	represent	VBN
cord-333088-ygdau2px	21	39	in	in	IN
cord-333088-ygdau2px	21	40	mean	mean	JJ
cord-333088-ygdau2px	21	41	-	-	HYPH
cord-333088-ygdau2px	21	42	field	field	NN
cord-333088-ygdau2px	21	43	models	model	NNS
cord-333088-ygdau2px	21	44	.	.	.
cord-333088-ygdau2px	22	1	Explicit	explicit	JJ
cord-333088-ygdau2px	22	2	interactions	interaction	NNS
cord-333088-ygdau2px	22	3	within	within	IN
cord-333088-ygdau2px	22	4	discrete	discrete	JJ
cord-333088-ygdau2px	22	5	spatial	spatial	JJ
cord-333088-ygdau2px	22	6	and	and	CC
cord-333088-ygdau2px	22	7	social	social	JJ
cord-333088-ygdau2px	22	8	neighborhoods	neighborhood	NNS
cord-333088-ygdau2px	22	9	have	have	VBP
cord-333088-ygdau2px	22	10	been	be	VBN
cord-333088-ygdau2px	22	11	incorporated	incorporate	VBN
cord-333088-ygdau2px	22	12	into	into	IN
cord-333088-ygdau2px	22	13	a	a	DT
cord-333088-ygdau2px	22	14	variety	variety	NN
cord-333088-ygdau2px	22	15	of	of	IN
cord-333088-ygdau2px	22	16	individual	individual	NN
cord-333088-ygdau2px	22	17	-	-	HYPH
cord-333088-ygdau2px	22	18	based	base	VBN
cord-333088-ygdau2px	22	19	models	model	NNS
cord-333088-ygdau2px	22	20	on	on	IN
cord-333088-ygdau2px	22	21	a	a	DT
cord-333088-ygdau2px	22	22	spatial	spatial	JJ
cord-333088-ygdau2px	22	23	grid	grid	NN
cord-333088-ygdau2px	22	24	and	and	CC
cord-333088-ygdau2px	22	25	on	on	IN
cord-333088-ygdau2px	22	26	networks	network	NNS
cord-333088-ygdau2px	22	27	(	(	-LRB-
cord-333088-ygdau2px	22	28	Bolker	Bolker	NNP
cord-333088-ygdau2px	22	29	and	and	CC
cord-333088-ygdau2px	22	30	Grenfell	Grenfell	NNP
cord-333088-ygdau2px	22	31	,	,	,
cord-333088-ygdau2px	22	32	1995	1995	CD
cord-333088-ygdau2px	22	33	;	;	:
cord-333088-ygdau2px	22	34	Johansen	Johansen	NNP
cord-333088-ygdau2px	22	35	,	,	,
cord-333088-ygdau2px	22	36	a	a	DT
cord-333088-ygdau2px	22	37	b	b	NN
cord-333088-ygdau2px	22	38	s	s	NN
cord-333088-ygdau2px	23	1	t	t	NNP
cord-333088-ygdau2px	23	2	r	r	NNP
cord-333088-ygdau2px	24	1	a	a	DT
cord-333088-ygdau2px	24	2	c	c	NN
cord-333088-ygdau2px	24	3	t	t	NNP
cord-333088-ygdau2px	24	4	Mean	mean	JJ
cord-333088-ygdau2px	24	5	-	-	HYPH
cord-333088-ygdau2px	24	6	field	field	NN
cord-333088-ygdau2px	24	7	ecological	ecological	JJ
cord-333088-ygdau2px	24	8	models	model	NNS
cord-333088-ygdau2px	24	9	ignore	ignore	VBP
cord-333088-ygdau2px	24	10	space	space	NN
cord-333088-ygdau2px	24	11	and	and	CC
cord-333088-ygdau2px	24	12	other	other	JJ
cord-333088-ygdau2px	24	13	forms	form	NNS
cord-333088-ygdau2px	24	14	of	of	IN
cord-333088-ygdau2px	24	15	contact	contact	NN
cord-333088-ygdau2px	24	16	structure	structure	NN
cord-333088-ygdau2px	24	17	.	.	.
cord-333088-ygdau2px	25	1	At	at	IN
cord-333088-ygdau2px	25	2	the	the	DT
cord-333088-ygdau2px	25	3	opposite	opposite	JJ
cord-333088-ygdau2px	25	4	extreme	extreme	JJ
cord-333088-ygdau2px	25	5	,	,	,
cord-333088-ygdau2px	25	6	high	high	JJ
cord-333088-ygdau2px	25	7	-	-	HYPH
cord-333088-ygdau2px	25	8	dimensional	dimensional	JJ
cord-333088-ygdau2px	25	9	models	model	NNS
cord-333088-ygdau2px	25	10	that	that	WDT
cord-333088-ygdau2px	25	11	are	be	VBP
cord-333088-ygdau2px	25	12	both	both	DT
cord-333088-ygdau2px	25	13	individual	individual	NN
cord-333088-ygdau2px	25	14	-	-	HYPH
cord-333088-ygdau2px	25	15	based	base	VBN
cord-333088-ygdau2px	25	16	and	and	CC
cord-333088-ygdau2px	25	17	stochastic	stochastic	NN
cord-333088-ygdau2px	25	18	incorporate	incorporate	VB
cord-333088-ygdau2px	25	19	the	the	DT
cord-333088-ygdau2px	25	20	distributed	distribute	VBN
cord-333088-ygdau2px	25	21	nature	nature	NN
cord-333088-ygdau2px	25	22	of	of	IN
cord-333088-ygdau2px	25	23	ecological	ecological	JJ
cord-333088-ygdau2px	25	24	interactions	interaction	NNS
cord-333088-ygdau2px	25	25	.	.	.
cord-333088-ygdau2px	26	1	In	in	IN
cord-333088-ygdau2px	26	2	between	between	IN
cord-333088-ygdau2px	26	3	,	,	,
cord-333088-ygdau2px	26	4	moment	moment	NN
cord-333088-ygdau2px	26	5	approximations	approximation	NNS
cord-333088-ygdau2px	26	6	have	have	VBP
cord-333088-ygdau2px	26	7	been	be	VBN
cord-333088-ygdau2px	26	8	proposed	propose	VBN
cord-333088-ygdau2px	26	9	that	that	WDT
cord-333088-ygdau2px	26	10	represent	represent	VBP
cord-333088-ygdau2px	26	11	the	the	DT
cord-333088-ygdau2px	26	12	effect	effect	NN
cord-333088-ygdau2px	26	13	of	of	IN
cord-333088-ygdau2px	26	14	correlations	correlation	NNS
cord-333088-ygdau2px	26	15	on	on	IN
cord-333088-ygdau2px	26	16	the	the	DT
cord-333088-ygdau2px	26	17	dynamics	dynamic	NNS
cord-333088-ygdau2px	26	18	of	of	IN
cord-333088-ygdau2px	26	19	mean	mean	JJ
cord-333088-ygdau2px	26	20	quantities	quantity	NNS
cord-333088-ygdau2px	26	21	.	.	.
cord-333088-ygdau2px	27	1	As	as	IN
cord-333088-ygdau2px	27	2	an	an	DT
cord-333088-ygdau2px	27	3	alternative	alternative	NN
cord-333088-ygdau2px	27	4	closer	close	RBR
cord-333088-ygdau2px	27	5	to	to	IN
cord-333088-ygdau2px	27	6	the	the	DT
cord-333088-ygdau2px	27	7	typical	typical	JJ
cord-333088-ygdau2px	27	8	temporal	temporal	JJ
cord-333088-ygdau2px	27	9	models	model	NNS
cord-333088-ygdau2px	27	10	used	use	VBN
cord-333088-ygdau2px	27	11	in	in	IN
cord-333088-ygdau2px	27	12	ecology	ecology	NN
cord-333088-ygdau2px	27	13	,	,	,
cord-333088-ygdau2px	27	14	we	-PRON-	PRP
cord-333088-ygdau2px	27	15	present	present	VBP
cord-333088-ygdau2px	27	16	here	here	RB
cord-333088-ygdau2px	27	17	results	result	VBZ
cord-333088-ygdau2px	27	18	on	on	IN
cord-333088-ygdau2px	27	19	'	'	''
cord-333088-ygdau2px	27	20	'	'	''
cord-333088-ygdau2px	27	21	modified	modify	VBN
cord-333088-ygdau2px	27	22	mean	mean	NN
cord-333088-ygdau2px	27	23	-	-	HYPH
cord-333088-ygdau2px	27	24	field	field	NN
cord-333088-ygdau2px	27	25	equations	equation	NNS
cord-333088-ygdau2px	27	26	'	'	''
cord-333088-ygdau2px	27	27	'	'	''
cord-333088-ygdau2px	27	28	for	for	IN
cord-333088-ygdau2px	27	29	infectious	infectious	JJ
cord-333088-ygdau2px	27	30	disease	disease	NN
cord-333088-ygdau2px	27	31	dynamics	dynamic	NNS
cord-333088-ygdau2px	27	32	,	,	,
cord-333088-ygdau2px	27	33	in	in	IN
cord-333088-ygdau2px	27	34	which	which	WDT
cord-333088-ygdau2px	27	35	only	only	RB
cord-333088-ygdau2px	27	36	mean	mean	JJ
cord-333088-ygdau2px	27	37	quantities	quantity	NNS
cord-333088-ygdau2px	27	38	are	be	VBP
cord-333088-ygdau2px	27	39	followed	follow	VBN
cord-333088-ygdau2px	27	40	and	and	CC
cord-333088-ygdau2px	27	41	the	the	DT
cord-333088-ygdau2px	27	42	effect	effect	NN
cord-333088-ygdau2px	27	43	of	of	IN
cord-333088-ygdau2px	27	44	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	27	45	mixing	mixing	NN
cord-333088-ygdau2px	27	46	is	be	VBZ
cord-333088-ygdau2px	27	47	incorporated	incorporate	VBN
cord-333088-ygdau2px	27	48	implicitly	implicitly	RB
cord-333088-ygdau2px	27	49	.	.	.
cord-333088-ygdau2px	28	1	We	-PRON-	PRP
cord-333088-ygdau2px	28	2	specifically	specifically	RB
cord-333088-ygdau2px	28	3	investigate	investigate	VBP
cord-333088-ygdau2px	28	4	the	the	DT
cord-333088-ygdau2px	28	5	previously	previously	RB
cord-333088-ygdau2px	28	6	proposed	propose	VBN
cord-333088-ygdau2px	28	7	empirical	empirical	JJ
cord-333088-ygdau2px	28	8	parameterization	parameterization	NN
cord-333088-ygdau2px	28	9	of	of	IN
cord-333088-ygdau2px	28	10	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	28	11	mixing	mixing	NN
cord-333088-ygdau2px	28	12	in	in	IN
cord-333088-ygdau2px	28	13	which	which	WDT
cord-333088-ygdau2px	28	14	the	the	DT
cord-333088-ygdau2px	28	15	bilinear	bilinear	JJ
cord-333088-ygdau2px	28	16	incidence	incidence	NN
cord-333088-ygdau2px	28	17	rate	rate	NN
cord-333088-ygdau2px	28	18	SI	SI	NNP
cord-333088-ygdau2px	28	19	is	be	VBZ
cord-333088-ygdau2px	28	20	replaced	replace	VBN
cord-333088-ygdau2px	28	21	by	by	IN
cord-333088-ygdau2px	28	22	a	a	DT
cord-333088-ygdau2px	28	23	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	28	24	term	term	NN
cord-333088-ygdau2px	28	25	kS	ks	ADD
cord-333088-ygdau2px	29	1	p	p	NN
cord-333088-ygdau2px	29	2	I	-PRON-	PRP
cord-333088-ygdau2px	29	3	q	q	NNP
cord-333088-ygdau2px	29	4	,	,	,
cord-333088-ygdau2px	29	5	for	for	IN
cord-333088-ygdau2px	29	6	the	the	DT
cord-333088-ygdau2px	29	7	case	case	NN
cord-333088-ygdau2px	29	8	of	of	IN
cord-333088-ygdau2px	29	9	stochastic	stochastic	JJ
cord-333088-ygdau2px	29	10	SIRS	SIRS	NNP
cord-333088-ygdau2px	29	11	dynamics	dynamic	NNS
cord-333088-ygdau2px	29	12	on	on	IN
cord-333088-ygdau2px	29	13	different	different	JJ
cord-333088-ygdau2px	29	14	contact	contact	NN
cord-333088-ygdau2px	29	15	networks	network	NNS
cord-333088-ygdau2px	29	16	,	,	,
cord-333088-ygdau2px	29	17	from	from	IN
cord-333088-ygdau2px	29	18	a	a	DT
cord-333088-ygdau2px	29	19	regular	regular	JJ
cord-333088-ygdau2px	29	20	lattice	lattice	NN
cord-333088-ygdau2px	29	21	to	to	IN
cord-333088-ygdau2px	29	22	a	a	DT
cord-333088-ygdau2px	29	23	random	random	JJ
cord-333088-ygdau2px	29	24	structure	structure	NN
cord-333088-ygdau2px	29	25	via	via	IN
cord-333088-ygdau2px	29	26	small	small	JJ
cord-333088-ygdau2px	29	27	-	-	HYPH
cord-333088-ygdau2px	29	28	world	world	NN
cord-333088-ygdau2px	29	29	configurations	configuration	NNS
cord-333088-ygdau2px	29	30	.	.	.
cord-333088-ygdau2px	30	1	We	-PRON-	PRP
cord-333088-ygdau2px	30	2	show	show	VBP
cord-333088-ygdau2px	30	3	that	that	IN
cord-333088-ygdau2px	30	4	,	,	,
cord-333088-ygdau2px	30	5	for	for	IN
cord-333088-ygdau2px	30	6	two	two	CD
cord-333088-ygdau2px	30	7	distinct	distinct	JJ
cord-333088-ygdau2px	30	8	dynamical	dynamical	JJ
cord-333088-ygdau2px	30	9	cases	case	NNS
cord-333088-ygdau2px	30	10	involving	involve	VBG
cord-333088-ygdau2px	30	11	a	a	DT
cord-333088-ygdau2px	30	12	stable	stable	JJ
cord-333088-ygdau2px	30	13	equilibrium	equilibrium	NN
cord-333088-ygdau2px	30	14	and	and	CC
cord-333088-ygdau2px	30	15	a	a	DT
cord-333088-ygdau2px	30	16	noisy	noisy	JJ
cord-333088-ygdau2px	30	17	endemic	endemic	JJ
cord-333088-ygdau2px	30	18	steady	steady	JJ
cord-333088-ygdau2px	30	19	state	state	NN
cord-333088-ygdau2px	30	20	,	,	,
cord-333088-ygdau2px	30	21	the	the	DT
cord-333088-ygdau2px	30	22	modified	modify	VBN
cord-333088-ygdau2px	30	23	mean	mean	NN
cord-333088-ygdau2px	30	24	-	-	HYPH
cord-333088-ygdau2px	30	25	field	field	NN
cord-333088-ygdau2px	30	26	model	model	NN
cord-333088-ygdau2px	30	27	approximates	approximate	VBZ
cord-333088-ygdau2px	30	28	successfully	successfully	RB
cord-333088-ygdau2px	30	29	the	the	DT
cord-333088-ygdau2px	30	30	steady	steady	JJ
cord-333088-ygdau2px	30	31	state	state	NN
cord-333088-ygdau2px	30	32	dynamics	dynamic	NNS
cord-333088-ygdau2px	30	33	as	as	RB
cord-333088-ygdau2px	30	34	well	well	RB
cord-333088-ygdau2px	30	35	as	as	IN
cord-333088-ygdau2px	30	36	the	the	DT
cord-333088-ygdau2px	30	37	respective	respective	JJ
cord-333088-ygdau2px	30	38	short	short	JJ
cord-333088-ygdau2px	30	39	and	and	CC
cord-333088-ygdau2px	30	40	long	long	JJ
cord-333088-ygdau2px	30	41	transients	transient	NNS
cord-333088-ygdau2px	30	42	of	of	IN
cord-333088-ygdau2px	30	43	decaying	decay	VBG
cord-333088-ygdau2px	30	44	cycles	cycle	NNS
cord-333088-ygdau2px	30	45	.	.	.
cord-333088-ygdau2px	31	1	This	this	DT
cord-333088-ygdau2px	31	2	result	result	NN
cord-333088-ygdau2px	31	3	demonstrates	demonstrate	VBZ
cord-333088-ygdau2px	31	4	that	that	IN
cord-333088-ygdau2px	31	5	early	early	RB
cord-333088-ygdau2px	31	6	on	on	RB
cord-333088-ygdau2px	31	7	in	in	IN
cord-333088-ygdau2px	31	8	the	the	DT
cord-333088-ygdau2px	31	9	transients	transient	NNS
cord-333088-ygdau2px	31	10	an	an	DT
cord-333088-ygdau2px	31	11	approximate	approximate	JJ
cord-333088-ygdau2px	31	12	power	power	NN
cord-333088-ygdau2px	31	13	-	-	HYPH
cord-333088-ygdau2px	31	14	law	law	NN
cord-333088-ygdau2px	31	15	relationship	relationship	NN
cord-333088-ygdau2px	31	16	is	be	VBZ
cord-333088-ygdau2px	31	17	established	establish	VBN
cord-333088-ygdau2px	31	18	between	between	IN
cord-333088-ygdau2px	31	19	global	global	JJ
cord-333088-ygdau2px	31	20	(	(	-LRB-
cord-333088-ygdau2px	31	21	mean	mean	JJ
cord-333088-ygdau2px	31	22	)	)	-RRB-
cord-333088-ygdau2px	31	23	quantities	quantity	NNS
cord-333088-ygdau2px	31	24	and	and	CC
cord-333088-ygdau2px	31	25	the	the	DT
cord-333088-ygdau2px	31	26	covariance	covariance	NN
cord-333088-ygdau2px	31	27	structure	structure	NN
cord-333088-ygdau2px	31	28	in	in	IN
cord-333088-ygdau2px	31	29	the	the	DT
cord-333088-ygdau2px	31	30	network	network	NN
cord-333088-ygdau2px	31	31	.	.	.
cord-333088-ygdau2px	32	1	The	the	DT
cord-333088-ygdau2px	32	2	approach	approach	NN
cord-333088-ygdau2px	32	3	fails	fail	VBZ
cord-333088-ygdau2px	32	4	in	in	IN
cord-333088-ygdau2px	32	5	the	the	DT
cord-333088-ygdau2px	32	6	more	more	RBR
cord-333088-ygdau2px	32	7	complex	complex	JJ
cord-333088-ygdau2px	32	8	case	case	NN
cord-333088-ygdau2px	32	9	of	of	IN
cord-333088-ygdau2px	32	10	persistent	persistent	JJ
cord-333088-ygdau2px	32	11	cycles	cycle	NNS
cord-333088-ygdau2px	32	12	observed	observe	VBN
cord-333088-ygdau2px	32	13	within	within	IN
cord-333088-ygdau2px	32	14	the	the	DT
cord-333088-ygdau2px	32	15	narrow	narrow	JJ
cord-333088-ygdau2px	32	16	range	range	NN
cord-333088-ygdau2px	32	17	of	of	IN
cord-333088-ygdau2px	32	18	small	small	JJ
cord-333088-ygdau2px	32	19	-	-	HYPH
cord-333088-ygdau2px	32	20	world	world	NN
cord-333088-ygdau2px	32	21	configurations	configuration	NNS
cord-333088-ygdau2px	32	22	.	.	.
cord-333088-ygdau2px	33	1	#	#	$
cord-333088-ygdau2px	33	2	2006	2006	CD
cord-333088-ygdau2px	33	3	Elsevier	Elsevier	NNP
cord-333088-ygdau2px	33	4	B.V.	B.V.	NNP
cord-333088-ygdau2px	34	1	All	all	DT
cord-333088-ygdau2px	34	2	rights	right	NNS
cord-333088-ygdau2px	34	3	reserved	reserve	VBN
cord-333088-ygdau2px	34	4	.	.	.
cord-333088-ygdau2px	35	1	2005	2005	CD
cord-333088-ygdau2px	35	2	)	)	-RRB-
cord-333088-ygdau2px	35	3	.	.	.
cord-333088-ygdau2px	36	1	Simplifications	simplification	NNS
cord-333088-ygdau2px	36	2	of	of	IN
cord-333088-ygdau2px	36	3	these	these	DT
cord-333088-ygdau2px	36	4	high	high	JJ
cord-333088-ygdau2px	36	5	-	-	HYPH
cord-333088-ygdau2px	36	6	dimensional	dimensional	JJ
cord-333088-ygdau2px	36	7	models	model	NNS
cord-333088-ygdau2px	36	8	have	have	VBP
cord-333088-ygdau2px	36	9	been	be	VBN
cord-333088-ygdau2px	36	10	developed	develop	VBN
cord-333088-ygdau2px	36	11	to	to	TO
cord-333088-ygdau2px	36	12	better	well	RBR
cord-333088-ygdau2px	36	13	understand	understand	VB
cord-333088-ygdau2px	36	14	their	-PRON-	PRP$
cord-333088-ygdau2px	36	15	dynamics	dynamic	NNS
cord-333088-ygdau2px	36	16	,	,	,
cord-333088-ygdau2px	36	17	make	make	VB
cord-333088-ygdau2px	36	18	them	-PRON-	PRP
cord-333088-ygdau2px	36	19	more	more	RBR
cord-333088-ygdau2px	36	20	amenable	amenable	JJ
cord-333088-ygdau2px	36	21	to	to	IN
cord-333088-ygdau2px	36	22	mathematical	mathematical	JJ
cord-333088-ygdau2px	36	23	analysis	analysis	NN
cord-333088-ygdau2px	36	24	and	and	CC
cord-333088-ygdau2px	36	25	reduce	reduce	VB
cord-333088-ygdau2px	36	26	computational	computational	JJ
cord-333088-ygdau2px	36	27	complexity	complexity	NN
cord-333088-ygdau2px	36	28	(	(	-LRB-
cord-333088-ygdau2px	36	29	Keeling	Keeling	NNP
cord-333088-ygdau2px	36	30	,	,	,
cord-333088-ygdau2px	36	31	1999	1999	CD
cord-333088-ygdau2px	36	32	;	;	:
cord-333088-ygdau2px	36	33	Eames	Eames	NNP
cord-333088-ygdau2px	36	34	and	and	CC
cord-333088-ygdau2px	36	35	Keeling	Keeling	NNP
cord-333088-ygdau2px	36	36	,	,	,
cord-333088-ygdau2px	36	37	2002	2002	CD
cord-333088-ygdau2px	36	38	;	;	:
cord-333088-ygdau2px	36	39	Franc	Franc	NNP
cord-333088-ygdau2px	36	40	,	,	,
cord-333088-ygdau2px	36	41	2004	2004	CD
cord-333088-ygdau2px	36	42	)	)	-RRB-
cord-333088-ygdau2px	36	43	.	.	.
cord-333088-ygdau2px	37	1	These	these	DT
cord-333088-ygdau2px	37	2	approximations	approximation	NNS
cord-333088-ygdau2px	37	3	are	be	VBP
cord-333088-ygdau2px	37	4	based	base	VBN
cord-333088-ygdau2px	37	5	on	on	IN
cord-333088-ygdau2px	37	6	moment	moment	NN
cord-333088-ygdau2px	37	7	closure	closure	NN
cord-333088-ygdau2px	37	8	methods	method	NNS
cord-333088-ygdau2px	37	9	and	and	CC
cord-333088-ygdau2px	37	10	add	add	VB
cord-333088-ygdau2px	37	11	corrections	correction	NNS
cord-333088-ygdau2px	37	12	to	to	IN
cord-333088-ygdau2px	37	13	the	the	DT
cord-333088-ygdau2px	37	14	mean	mean	JJ
cord-333088-ygdau2px	37	15	-	-	HYPH
cord-333088-ygdau2px	37	16	field	field	NN
cord-333088-ygdau2px	37	17	model	model	NN
cord-333088-ygdau2px	37	18	due	due	IN
cord-333088-ygdau2px	37	19	to	to	IN
cord-333088-ygdau2px	37	20	the	the	DT
cord-333088-ygdau2px	37	21	influence	influence	NN
cord-333088-ygdau2px	37	22	of	of	IN
cord-333088-ygdau2px	37	23	covariances	covariance	NNS
cord-333088-ygdau2px	37	24	,	,	,
cord-333088-ygdau2px	37	25	as	as	RB
cord-333088-ygdau2px	37	26	well	well	RB
cord-333088-ygdau2px	37	27	as	as	IN
cord-333088-ygdau2px	37	28	equations	equation	NNS
cord-333088-ygdau2px	37	29	for	for	IN
cord-333088-ygdau2px	37	30	the	the	DT
cord-333088-ygdau2px	37	31	dynamics	dynamic	NNS
cord-333088-ygdau2px	37	32	of	of	IN
cord-333088-ygdau2px	37	33	these	these	DT
cord-333088-ygdau2px	37	34	second	second	JJ
cord-333088-ygdau2px	37	35	order	order	NN
cord-333088-ygdau2px	37	36	moments	moment	NNS
cord-333088-ygdau2px	37	37	(	(	-LRB-
cord-333088-ygdau2px	37	38	Pacala	Pacala	NNP
cord-333088-ygdau2px	37	39	and	and	CC
cord-333088-ygdau2px	37	40	Levin	Levin	NNP
cord-333088-ygdau2px	37	41	,	,	,
cord-333088-ygdau2px	37	42	1997	1997	CD
cord-333088-ygdau2px	37	43	;	;	:
cord-333088-ygdau2px	37	44	Bolker	Bolker	NNP
cord-333088-ygdau2px	37	45	,	,	,
cord-333088-ygdau2px	37	46	1999	1999	CD
cord-333088-ygdau2px	37	47	;	;	:
cord-333088-ygdau2px	37	48	Brown	Brown	NNP
cord-333088-ygdau2px	37	49	and	and	CC
cord-333088-ygdau2px	37	50	Bolker	Bolker	NNP
cord-333088-ygdau2px	37	51	,	,	,
cord-333088-ygdau2px	37	52	2004	2004	CD
cord-333088-ygdau2px	37	53	)	)	-RRB-
cord-333088-ygdau2px	37	54	.	.	.
cord-333088-ygdau2px	38	1	We	-PRON-	PRP
cord-333088-ygdau2px	38	2	address	address	VBP
cord-333088-ygdau2px	38	3	here	here	RB
cord-333088-ygdau2px	38	4	an	an	DT
cord-333088-ygdau2px	38	5	alternative	alternative	JJ
cord-333088-ygdau2px	38	6	simplification	simplification	NN
cord-333088-ygdau2px	38	7	approach	approach	NN
cord-333088-ygdau2px	38	8	closer	close	RBR
cord-333088-ygdau2px	38	9	to	to	IN
cord-333088-ygdau2px	38	10	the	the	DT
cord-333088-ygdau2px	38	11	original	original	JJ
cord-333088-ygdau2px	38	12	mean	mean	JJ
cord-333088-ygdau2px	38	13	-	-	HYPH
cord-333088-ygdau2px	38	14	field	field	NN
cord-333088-ygdau2px	38	15	formulation	formulation	NN
cord-333088-ygdau2px	38	16	,	,	,
cord-333088-ygdau2px	38	17	which	which	WDT
cord-333088-ygdau2px	38	18	retains	retain	VBZ
cord-333088-ygdau2px	38	19	the	the	DT
cord-333088-ygdau2px	38	20	basic	basic	JJ
cord-333088-ygdau2px	38	21	structure	structure	NN
cord-333088-ygdau2px	38	22	of	of	IN
cord-333088-ygdau2px	38	23	the	the	DT
cord-333088-ygdau2px	38	24	mean	mean	JJ
cord-333088-ygdau2px	38	25	-	-	HYPH
cord-333088-ygdau2px	38	26	field	field	NN
cord-333088-ygdau2px	38	27	equations	equation	NNS
cord-333088-ygdau2px	38	28	but	but	CC
cord-333088-ygdau2px	38	29	incorporates	incorporate	VBZ
cord-333088-ygdau2px	38	30	the	the	DT
cord-333088-ygdau2px	38	31	effects	effect	NNS
cord-333088-ygdau2px	38	32	of	of	IN
cord-333088-ygdau2px	38	33	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	38	34	mixing	mixing	NN
cord-333088-ygdau2px	38	35	implicitly	implicitly	RB
cord-333088-ygdau2px	38	36	via	via	IN
cord-333088-ygdau2px	38	37	modified	modify	VBN
cord-333088-ygdau2px	38	38	functional	functional	JJ
cord-333088-ygdau2px	38	39	forms	form	NNS
cord-333088-ygdau2px	39	1	(	(	-LRB-
cord-333088-ygdau2px	39	2	McCallum	McCallum	NNP
cord-333088-ygdau2px	39	3	et	et	NNP
cord-333088-ygdau2px	39	4	al	al	NNP
cord-333088-ygdau2px	39	5	.	.	NNP
cord-333088-ygdau2px	39	6	,	,	,
cord-333088-ygdau2px	39	7	2001	2001	CD
cord-333088-ygdau2px	39	8	)	)	-RRB-
cord-333088-ygdau2px	39	9	.	.	.
cord-333088-ygdau2px	40	1	Specifically	specifically	RB
cord-333088-ygdau2px	40	2	,	,	,
cord-333088-ygdau2px	40	3	the	the	DT
cord-333088-ygdau2px	40	4	bilinear	bilinear	JJ
cord-333088-ygdau2px	40	5	transmission	transmission	NN
cord-333088-ygdau2px	40	6	term	term	NN
cord-333088-ygdau2px	40	7	(	(	-LRB-
cord-333088-ygdau2px	40	8	SI	SI	NNP
cord-333088-ygdau2px	40	9	)	)	-RRB-
cord-333088-ygdau2px	40	10	in	in	IN
cord-333088-ygdau2px	40	11	the	the	DT
cord-333088-ygdau2px	40	12	well	well	RB
cord-333088-ygdau2px	40	13	-	-	HYPH
cord-333088-ygdau2px	40	14	mixed	mix	VBN
cord-333088-ygdau2px	40	15	equations	equation	NNS
cord-333088-ygdau2px	40	16	is	be	VBZ
cord-333088-ygdau2px	40	17	replaced	replace	VBN
cord-333088-ygdau2px	40	18	by	by	IN
cord-333088-ygdau2px	40	19	a	a	DT
cord-333088-ygdau2px	40	20	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	40	21	term	term	NN
cord-333088-ygdau2px	40	22	S	s	NN
cord-333088-ygdau2px	40	23	p	p	NN
cord-333088-ygdau2px	41	1	I	-PRON-	PRP
cord-333088-ygdau2px	41	2	q	q	NNP
cord-333088-ygdau2px	41	3	(	(	-LRB-
cord-333088-ygdau2px	41	4	Severo	Severo	NNP
cord-333088-ygdau2px	41	5	,	,	,
cord-333088-ygdau2px	41	6	1969	1969	CD
cord-333088-ygdau2px	41	7	)	)	-RRB-
cord-333088-ygdau2px	41	8	,	,	,
cord-333088-ygdau2px	41	9	where	where	WRB
cord-333088-ygdau2px	41	10	the	the	DT
cord-333088-ygdau2px	41	11	exponents	exponent	NNS
cord-333088-ygdau2px	41	12	p	p	XX
cord-333088-ygdau2px	41	13	,	,	,
cord-333088-ygdau2px	41	14	q	q	NNP
cord-333088-ygdau2px	41	15	are	be	VBP
cord-333088-ygdau2px	41	16	known	know	VBN
cord-333088-ygdau2px	41	17	as	as	IN
cord-333088-ygdau2px	41	18	'	'	''
cord-333088-ygdau2px	41	19	'	'	''
cord-333088-ygdau2px	41	20	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	41	21	parameters	parameter	NNS
cord-333088-ygdau2px	41	22	'	'	''
cord-333088-ygdau2px	41	23	'	'	''
cord-333088-ygdau2px	41	24	.	.	.
cord-333088-ygdau2px	42	1	This	this	DT
cord-333088-ygdau2px	42	2	formulation	formulation	NN
cord-333088-ygdau2px	42	3	allows	allow	VBZ
cord-333088-ygdau2px	42	4	an	an	DT
cord-333088-ygdau2px	42	5	implicit	implicit	JJ
cord-333088-ygdau2px	42	6	representation	representation	NN
cord-333088-ygdau2px	42	7	of	of	IN
cord-333088-ygdau2px	42	8	distributed	distribute	VBN
cord-333088-ygdau2px	42	9	interactions	interaction	NNS
cord-333088-ygdau2px	42	10	when	when	WRB
cord-333088-ygdau2px	42	11	the	the	DT
cord-333088-ygdau2px	42	12	details	detail	NNS
cord-333088-ygdau2px	42	13	of	of	IN
cord-333088-ygdau2px	42	14	individual	individual	JJ
cord-333088-ygdau2px	42	15	-	-	HYPH
cord-333088-ygdau2px	42	16	level	level	NN
cord-333088-ygdau2px	42	17	processes	process	NNS
cord-333088-ygdau2px	42	18	are	be	VBP
cord-333088-ygdau2px	42	19	unavailable	unavailable	JJ
cord-333088-ygdau2px	42	20	(	(	-LRB-
cord-333088-ygdau2px	42	21	as	as	IN
cord-333088-ygdau2px	42	22	is	be	VBZ
cord-333088-ygdau2px	42	23	often	often	RB
cord-333088-ygdau2px	42	24	the	the	DT
cord-333088-ygdau2px	42	25	case	case	NN
cord-333088-ygdau2px	42	26	,	,	,
cord-333088-ygdau2px	42	27	see	see	VB
cord-333088-ygdau2px	42	28	Gibson	Gibson	NNP
cord-333088-ygdau2px	42	29	,	,	,
cord-333088-ygdau2px	42	30	1997	1997	CD
cord-333088-ygdau2px	42	31	)	)	-RRB-
cord-333088-ygdau2px	42	32	,	,	,
cord-333088-ygdau2px	42	33	and	and	CC
cord-333088-ygdau2px	42	34	when	when	WRB
cord-333088-ygdau2px	42	35	field	field	NN
cord-333088-ygdau2px	42	36	data	datum	NNS
cord-333088-ygdau2px	42	37	are	be	VBP
cord-333088-ygdau2px	42	38	collected	collect	VBN
cord-333088-ygdau2px	42	39	in	in	IN
cord-333088-ygdau2px	42	40	the	the	DT
cord-333088-ygdau2px	42	41	form	form	NN
cord-333088-ygdau2px	42	42	of	of	IN
cord-333088-ygdau2px	42	43	a	a	DT
cord-333088-ygdau2px	42	44	time	time	NN
cord-333088-ygdau2px	42	45	series	series	NN
cord-333088-ygdau2px	42	46	(	(	-LRB-
cord-333088-ygdau2px	42	47	e.g.	e.g.	RB
cord-333088-ygdau2px	42	48	,	,	,
cord-333088-ygdau2px	42	49	Koelle	Koelle	NNP
cord-333088-ygdau2px	42	50	and	and	CC
cord-333088-ygdau2px	42	51	Pascual	Pascual	NNP
cord-333088-ygdau2px	42	52	,	,	,
cord-333088-ygdau2px	42	53	2004	2004	CD
cord-333088-ygdau2px	42	54	)	)	-RRB-
cord-333088-ygdau2px	42	55	.	.	.
cord-333088-ygdau2px	43	1	We	-PRON-	PRP
cord-333088-ygdau2px	43	2	henceforth	henceforth	RB
cord-333088-ygdau2px	43	3	refer	refer	VBP
cord-333088-ygdau2px	43	4	to	to	IN
cord-333088-ygdau2px	43	5	these	these	DT
cord-333088-ygdau2px	43	6	modified	modify	VBN
cord-333088-ygdau2px	43	7	equations	equation	NNS
cord-333088-ygdau2px	43	8	as	as	IN
cord-333088-ygdau2px	43	9	the	the	DT
cord-333088-ygdau2px	43	10	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	43	11	mixing	mixing	NN
cord-333088-ygdau2px	43	12	,	,	,
cord-333088-ygdau2px	43	13	or	or	CC
cord-333088-ygdau2px	43	14	'	'	''
cord-333088-ygdau2px	43	15	'	'	''
cord-333088-ygdau2px	43	16	HM	HM	NNP
cord-333088-ygdau2px	43	17	'	'	''
cord-333088-ygdau2px	43	18	'	'	''
cord-333088-ygdau2px	43	19	,	,	,
cord-333088-ygdau2px	43	20	model	model	NN
cord-333088-ygdau2px	43	21	following	follow	VBG
cord-333088-ygdau2px	43	22	Maule	Maule	NNP
cord-333088-ygdau2px	43	23	and	and	CC
cord-333088-ygdau2px	43	24	Filipe	Filipe	NNP
cord-333088-ygdau2px	43	25	(	(	-LRB-
cord-333088-ygdau2px	43	26	in	in	IN
cord-333088-ygdau2px	43	27	preparation	preparation	NN
cord-333088-ygdau2px	43	28	)	)	-RRB-
cord-333088-ygdau2px	43	29	.	.	.
cord-333088-ygdau2px	44	1	The	the	DT
cord-333088-ygdau2px	44	2	HM	HM	NNP
cord-333088-ygdau2px	44	3	model	model	NN
cord-333088-ygdau2px	44	4	is	be	VBZ
cord-333088-ygdau2px	44	5	known	know	VBN
cord-333088-ygdau2px	44	6	to	to	TO
cord-333088-ygdau2px	44	7	exhibit	exhibit	VB
cord-333088-ygdau2px	44	8	important	important	JJ
cord-333088-ygdau2px	44	9	properties	property	NNS
cord-333088-ygdau2px	44	10	not	not	RB
cord-333088-ygdau2px	44	11	observed	observe	VBN
cord-333088-ygdau2px	44	12	in	in	IN
cord-333088-ygdau2px	44	13	standard	standard	JJ
cord-333088-ygdau2px	44	14	mean	mean	JJ
cord-333088-ygdau2px	44	15	-	-	HYPH
cord-333088-ygdau2px	44	16	field	field	NN
cord-333088-ygdau2px	44	17	models	model	NNS
cord-333088-ygdau2px	44	18	,	,	,
cord-333088-ygdau2px	44	19	such	such	JJ
cord-333088-ygdau2px	44	20	as	as	IN
cord-333088-ygdau2px	44	21	the	the	DT
cord-333088-ygdau2px	44	22	presence	presence	NN
cord-333088-ygdau2px	44	23	of	of	IN
cord-333088-ygdau2px	44	24	multiple	multiple	JJ
cord-333088-ygdau2px	44	25	equilibria	equilibrium	NNS
cord-333088-ygdau2px	44	26	and	and	CC
cord-333088-ygdau2px	44	27	periodic	periodic	JJ
cord-333088-ygdau2px	44	28	solutions	solution	NNS
cord-333088-ygdau2px	44	29	(	(	-LRB-
cord-333088-ygdau2px	44	30	Liu	Liu	NNP
cord-333088-ygdau2px	44	31	et	et	NNP
cord-333088-ygdau2px	44	32	al	al	NNP
cord-333088-ygdau2px	44	33	.	.	.
cord-333088-ygdau2px	45	1	,	,	,
cord-333088-ygdau2px	45	2	1986	1986	CD
cord-333088-ygdau2px	45	3	(	(	-LRB-
cord-333088-ygdau2px	45	4	Liu	Liu	NNP
cord-333088-ygdau2px	45	5	et	et	NNP
cord-333088-ygdau2px	45	6	al	al	NNP
cord-333088-ygdau2px	45	7	.	.	.
cord-333088-ygdau2px	46	1	,	,	,
cord-333088-ygdau2px	46	2	,	,	,
cord-333088-ygdau2px	46	3	1987	1987	CD
cord-333088-ygdau2px	46	4	Hethcote	Hethcote	NNP
cord-333088-ygdau2px	46	5	and	and	CC
cord-333088-ygdau2px	46	6	van	van	NNP
cord-333088-ygdau2px	46	7	den	den	NNP
cord-333088-ygdau2px	46	8	Driessche	Driessche	NNP
cord-333088-ygdau2px	46	9	,	,	,
cord-333088-ygdau2px	46	10	1991	1991	CD
cord-333088-ygdau2px	46	11	;	;	:
cord-333088-ygdau2px	46	12	Hochberg	Hochberg	NNP
cord-333088-ygdau2px	46	13	,	,	,
cord-333088-ygdau2px	46	14	1991	1991	CD
cord-333088-ygdau2px	46	15	)	)	-RRB-
cord-333088-ygdau2px	46	16	.	.	.
cord-333088-ygdau2px	47	1	This	this	DT
cord-333088-ygdau2px	47	2	model	model	NN
cord-333088-ygdau2px	47	3	has	have	VBZ
cord-333088-ygdau2px	47	4	also	also	RB
cord-333088-ygdau2px	47	5	been	be	VBN
cord-333088-ygdau2px	47	6	successfully	successfully	RB
cord-333088-ygdau2px	47	7	fitted	fit	VBN
cord-333088-ygdau2px	47	8	to	to	IN
cord-333088-ygdau2px	47	9	the	the	DT
cord-333088-ygdau2px	47	10	experimental	experimental	JJ
cord-333088-ygdau2px	47	11	time	time	NN
cord-333088-ygdau2px	47	12	series	series	NNP
cord-333088-ygdau2px	47	13	data	datum	NNS
cord-333088-ygdau2px	47	14	of	of	IN
cord-333088-ygdau2px	47	15	lettuce	lettuce	NN
cord-333088-ygdau2px	47	16	fungal	fungal	NN
cord-333088-ygdau2px	47	17	disease	disease	NN
cord-333088-ygdau2px	47	18	to	to	TO
cord-333088-ygdau2px	47	19	explain	explain	VB
cord-333088-ygdau2px	47	20	its	-PRON-	PRP$
cord-333088-ygdau2px	47	21	persistence	persistence	NN
cord-333088-ygdau2px	47	22	(	(	-LRB-
cord-333088-ygdau2px	47	23	Gubbins	Gubbins	NNP
cord-333088-ygdau2px	47	24	and	and	CC
cord-333088-ygdau2px	47	25	Gilligan	Gilligan	NNP
cord-333088-ygdau2px	47	26	,	,	,
cord-333088-ygdau2px	47	27	1997	1997	CD
cord-333088-ygdau2px	47	28	)	)	-RRB-
cord-333088-ygdau2px	47	29	.	.	.
cord-333088-ygdau2px	48	1	However	however	RB
cord-333088-ygdau2px	48	2	,	,	,
cord-333088-ygdau2px	48	3	it	-PRON-	PRP
cord-333088-ygdau2px	48	4	is	be	VBZ
cord-333088-ygdau2px	48	5	not	not	RB
cord-333088-ygdau2px	48	6	well	well	RB
cord-333088-ygdau2px	48	7	known	know	VBN
cord-333088-ygdau2px	48	8	whether	whether	IN
cord-333088-ygdau2px	48	9	these	these	DT
cord-333088-ygdau2px	48	10	modified	modify	VBN
cord-333088-ygdau2px	48	11	mean	mean	NN
cord-333088-ygdau2px	48	12	-	-	HYPH
cord-333088-ygdau2px	48	13	field	field	NN
cord-333088-ygdau2px	48	14	equations	equation	NNS
cord-333088-ygdau2px	48	15	can	can	MD
cord-333088-ygdau2px	48	16	indeed	indeed	RB
cord-333088-ygdau2px	48	17	approximate	approximate	VB
cord-333088-ygdau2px	48	18	the	the	DT
cord-333088-ygdau2px	48	19	population	population	NN
cord-333088-ygdau2px	48	20	dynamics	dynamic	NNS
cord-333088-ygdau2px	48	21	that	that	WDT
cord-333088-ygdau2px	48	22	emerge	emerge	VBP
cord-333088-ygdau2px	48	23	from	from	IN
cord-333088-ygdau2px	48	24	individual	individual	JJ
cord-333088-ygdau2px	48	25	level	level	NN
cord-333088-ygdau2px	48	26	interactions	interaction	NNS
cord-333088-ygdau2px	48	27	.	.	.
cord-333088-ygdau2px	49	1	Motivated	motivate	VBN
cord-333088-ygdau2px	49	2	by	by	IN
cord-333088-ygdau2px	49	3	infectious	infectious	JJ
cord-333088-ygdau2px	49	4	diseases	disease	NNS
cord-333088-ygdau2px	49	5	of	of	IN
cord-333088-ygdau2px	49	6	plants	plant	NNS
cord-333088-ygdau2px	49	7	,	,	,
cord-333088-ygdau2px	49	8	Maule	Maule	NNP
cord-333088-ygdau2px	49	9	and	and	CC
cord-333088-ygdau2px	49	10	Filipe	Filipe	NNP
cord-333088-ygdau2px	49	11	(	(	-LRB-
cord-333088-ygdau2px	49	12	in	in	IN
cord-333088-ygdau2px	49	13	preparation	preparation	NN
cord-333088-ygdau2px	49	14	)	)	-RRB-
cord-333088-ygdau2px	49	15	have	have	VBP
cord-333088-ygdau2px	49	16	recently	recently	RB
cord-333088-ygdau2px	49	17	compared	compare	VBN
cord-333088-ygdau2px	49	18	the	the	DT
cord-333088-ygdau2px	49	19	dynamics	dynamic	NNS
cord-333088-ygdau2px	49	20	of	of	IN
cord-333088-ygdau2px	49	21	the	the	DT
cord-333088-ygdau2px	49	22	HM	HM	NNP
cord-333088-ygdau2px	49	23	model	model	NN
cord-333088-ygdau2px	49	24	to	to	IN
cord-333088-ygdau2px	49	25	a	a	DT
cord-333088-ygdau2px	49	26	stochastic	stochastic	JJ
cord-333088-ygdau2px	49	27	susceptible	susceptible	JJ
cord-333088-ygdau2px	49	28	-	-	HYPH
cord-333088-ygdau2px	49	29	infective	infective	JJ
cord-333088-ygdau2px	49	30	(	(	-LRB-
cord-333088-ygdau2px	49	31	SI	SI	NNP
cord-333088-ygdau2px	49	32	)	)	-RRB-
cord-333088-ygdau2px	49	33	model	model	NN
cord-333088-ygdau2px	49	34	on	on	IN
cord-333088-ygdau2px	49	35	a	a	DT
cord-333088-ygdau2px	49	36	spatial	spatial	JJ
cord-333088-ygdau2px	49	37	lattice	lattice	NN
cord-333088-ygdau2px	49	38	.	.	.
cord-333088-ygdau2px	50	1	In	in	IN
cord-333088-ygdau2px	50	2	this	this	DT
cord-333088-ygdau2px	50	3	paper	paper	NN
cord-333088-ygdau2px	50	4	,	,	,
cord-333088-ygdau2px	50	5	we	-PRON-	PRP
cord-333088-ygdau2px	50	6	implement	implement	VBP
cord-333088-ygdau2px	50	7	a	a	DT
cord-333088-ygdau2px	50	8	stochastic	stochastic	JJ
cord-333088-ygdau2px	50	9	version	version	NN
cord-333088-ygdau2px	50	10	of	of	IN
cord-333088-ygdau2px	50	11	the	the	DT
cord-333088-ygdau2px	50	12	susceptible	susceptible	JJ
cord-333088-ygdau2px	50	13	-	-	HYPH
cord-333088-ygdau2px	50	14	infective	infective	JJ
cord-333088-ygdau2px	50	15	-	-	HYPH
cord-333088-ygdau2px	50	16	recovered	recovered	JJ
cord-333088-ygdau2px	50	17	-	-	HYPH
cord-333088-ygdau2px	50	18	susceptible	susceptible	JJ
cord-333088-ygdau2px	50	19	(	(	-LRB-
cord-333088-ygdau2px	50	20	SIRS	sirs	UH
cord-333088-ygdau2px	50	21	)	)	-RRB-
cord-333088-ygdau2px	50	22	dynamics	dynamic	NNS
cord-333088-ygdau2px	50	23	,	,	,
cord-333088-ygdau2px	50	24	to	to	TO
cord-333088-ygdau2px	50	25	consider	consider	VB
cord-333088-ygdau2px	50	26	a	a	DT
cord-333088-ygdau2px	50	27	broader	broad	JJR
cord-333088-ygdau2px	50	28	range	range	NN
cord-333088-ygdau2px	50	29	of	of	IN
cord-333088-ygdau2px	50	30	dynamical	dynamical	JJ
cord-333088-ygdau2px	50	31	behaviors	behavior	NNS
cord-333088-ygdau2px	50	32	including	include	VBG
cord-333088-ygdau2px	50	33	endemic	endemic	JJ
cord-333088-ygdau2px	50	34	equilibria	equilibrium	NNS
cord-333088-ygdau2px	50	35	and	and	CC
cord-333088-ygdau2px	50	36	cycles	cycle	NNS
cord-333088-ygdau2px	50	37	(	(	-LRB-
cord-333088-ygdau2px	50	38	Bailey	Bailey	NNP
cord-333088-ygdau2px	50	39	,	,	,
cord-333088-ygdau2px	50	40	1975	1975	CD
cord-333088-ygdau2px	50	41	;	;	:
cord-333088-ygdau2px	50	42	Murray	Murray	NNP
cord-333088-ygdau2px	50	43	,	,	,
cord-333088-ygdau2px	50	44	1993	1993	CD
cord-333088-ygdau2px	50	45	;	;	:
cord-333088-ygdau2px	50	46	Johansen	Johansen	NNP
cord-333088-ygdau2px	50	47	,	,	,
cord-333088-ygdau2px	50	48	1996	1996	CD
cord-333088-ygdau2px	50	49	)	)	-RRB-
cord-333088-ygdau2px	50	50	.	.	.
cord-333088-ygdau2px	51	1	Recovery	recovery	NN
cord-333088-ygdau2px	51	2	from	from	IN
cord-333088-ygdau2px	51	3	disease	disease	NN
cord-333088-ygdau2px	51	4	leading	lead	VBG
cord-333088-ygdau2px	51	5	to	to	IN
cord-333088-ygdau2px	51	6	the	the	DT
cord-333088-ygdau2px	51	7	development	development	NN
cord-333088-ygdau2px	51	8	of	of	IN
cord-333088-ygdau2px	51	9	temporary	temporary	JJ
cord-333088-ygdau2px	51	10	immunity	immunity	NN
cord-333088-ygdau2px	51	11	is	be	VBZ
cord-333088-ygdau2px	51	12	also	also	RB
cord-333088-ygdau2px	51	13	relevant	relevant	JJ
cord-333088-ygdau2px	51	14	to	to	IN
cord-333088-ygdau2px	51	15	many	many	JJ
cord-333088-ygdau2px	51	16	infectious	infectious	JJ
cord-333088-ygdau2px	51	17	diseases	disease	NNS
cord-333088-ygdau2px	51	18	in	in	IN
cord-333088-ygdau2px	51	19	humans	human	NNS
cord-333088-ygdau2px	51	20	,	,	,
cord-333088-ygdau2px	51	21	such	such	JJ
cord-333088-ygdau2px	51	22	as	as	IN
cord-333088-ygdau2px	51	23	cholera	cholera	NN
cord-333088-ygdau2px	51	24	(	(	-LRB-
cord-333088-ygdau2px	51	25	Koelle	Koelle	NNP
cord-333088-ygdau2px	51	26	and	and	CC
cord-333088-ygdau2px	51	27	Pascual	Pascual	NNP
cord-333088-ygdau2px	51	28	,	,	,
cord-333088-ygdau2px	51	29	2004	2004	CD
cord-333088-ygdau2px	51	30	)	)	-RRB-
cord-333088-ygdau2px	51	31	.	.	.
cord-333088-ygdau2px	52	1	For	for	IN
cord-333088-ygdau2px	52	2	the	the	DT
cord-333088-ygdau2px	52	3	contact	contact	NN
cord-333088-ygdau2px	52	4	structure	structure	NN
cord-333088-ygdau2px	52	5	of	of	IN
cord-333088-ygdau2px	52	6	individuals	individual	NNS
cord-333088-ygdau2px	52	7	in	in	IN
cord-333088-ygdau2px	52	8	the	the	DT
cord-333088-ygdau2px	52	9	population	population	NN
cord-333088-ygdau2px	52	10	we	-PRON-	PRP
cord-333088-ygdau2px	52	11	use	use	VBP
cord-333088-ygdau2px	52	12	a	a	DT
cord-333088-ygdau2px	52	13	small	small	JJ
cord-333088-ygdau2px	52	14	-	-	HYPH
cord-333088-ygdau2px	52	15	world	world	NN
cord-333088-ygdau2px	52	16	algorithm	algorithm	NN
cord-333088-ygdau2px	52	17	,	,	,
cord-333088-ygdau2px	52	18	which	which	WDT
cord-333088-ygdau2px	52	19	is	be	VBZ
cord-333088-ygdau2px	52	20	capable	capable	JJ
cord-333088-ygdau2px	52	21	of	of	IN
cord-333088-ygdau2px	52	22	generating	generate	VBG
cord-333088-ygdau2px	52	23	an	an	DT
cord-333088-ygdau2px	52	24	array	array	NN
cord-333088-ygdau2px	52	25	of	of	IN
cord-333088-ygdau2px	52	26	configurations	configuration	NNS
cord-333088-ygdau2px	52	27	ranging	range	VBG
cord-333088-ygdau2px	52	28	from	from	IN
cord-333088-ygdau2px	52	29	a	a	DT
cord-333088-ygdau2px	52	30	regular	regular	JJ
cord-333088-ygdau2px	52	31	grid	grid	NN
cord-333088-ygdau2px	52	32	to	to	IN
cord-333088-ygdau2px	52	33	a	a	DT
cord-333088-ygdau2px	52	34	random	random	JJ
cord-333088-ygdau2px	52	35	network	network	NN
cord-333088-ygdau2px	52	36	(	(	-LRB-
cord-333088-ygdau2px	52	37	Watts	Watts	NNP
cord-333088-ygdau2px	52	38	and	and	CC
cord-333088-ygdau2px	52	39	Strogatz	Strogatz	NNP
cord-333088-ygdau2px	52	40	,	,	,
cord-333088-ygdau2px	52	41	1998	1998	CD
cord-333088-ygdau2px	52	42	)	)	-RRB-
cord-333088-ygdau2px	52	43	.	.	.
cord-333088-ygdau2px	53	1	Theory	theory	NN
cord-333088-ygdau2px	53	2	on	on	IN
cord-333088-ygdau2px	53	3	the	the	DT
cord-333088-ygdau2px	53	4	structural	structural	JJ
cord-333088-ygdau2px	53	5	properties	property	NNS
cord-333088-ygdau2px	53	6	of	of	IN
cord-333088-ygdau2px	53	7	these	these	DT
cord-333088-ygdau2px	53	8	networks	network	NNS
cord-333088-ygdau2px	53	9	is	be	VBZ
cord-333088-ygdau2px	53	10	well	well	RB
cord-333088-ygdau2px	53	11	developed	developed	JJ
cord-333088-ygdau2px	53	12	(	(	-LRB-
cord-333088-ygdau2px	53	13	Watts	Watts	NNP
cord-333088-ygdau2px	53	14	,	,	,
cord-333088-ygdau2px	53	15	2003	2003	CD
cord-333088-ygdau2px	53	16	)	)	-RRB-
cord-333088-ygdau2px	53	17	,	,	,
cord-333088-ygdau2px	53	18	and	and	CC
cord-333088-ygdau2px	53	19	these	these	DT
cord-333088-ygdau2px	53	20	properties	property	NNS
cord-333088-ygdau2px	53	21	are	be	VBP
cord-333088-ygdau2px	53	22	known	know	VBN
cord-333088-ygdau2px	53	23	to	to	TO
cord-333088-ygdau2px	53	24	exist	exist	VB
cord-333088-ygdau2px	53	25	in	in	IN
cord-333088-ygdau2px	53	26	many	many	JJ
cord-333088-ygdau2px	53	27	real	real	JJ
cord-333088-ygdau2px	53	28	interaction	interaction	NN
cord-333088-ygdau2px	53	29	networks	network	NNS
cord-333088-ygdau2px	53	30	(	(	-LRB-
cord-333088-ygdau2px	53	31	Dorogotsev	Dorogotsev	NNP
cord-333088-ygdau2px	53	32	and	and	CC
cord-333088-ygdau2px	53	33	Mendes	Mendes	NNP
cord-333088-ygdau2px	53	34	,	,	,
cord-333088-ygdau2px	53	35	2003	2003	CD
cord-333088-ygdau2px	53	36	)	)	-RRB-
cord-333088-ygdau2px	53	37	.	.	.
cord-333088-ygdau2px	54	1	A	a	DT
cord-333088-ygdau2px	54	2	small	small	JJ
cord-333088-ygdau2px	54	3	-	-	HYPH
cord-333088-ygdau2px	54	4	world	world	NN
cord-333088-ygdau2px	54	5	framework	framework	NN
cord-333088-ygdau2px	54	6	has	have	VBZ
cord-333088-ygdau2px	54	7	also	also	RB
cord-333088-ygdau2px	54	8	been	be	VBN
cord-333088-ygdau2px	54	9	used	use	VBN
cord-333088-ygdau2px	54	10	recently	recently	RB
cord-333088-ygdau2px	54	11	to	to	TO
cord-333088-ygdau2px	54	12	model	model	VB
cord-333088-ygdau2px	54	13	epidemic	epidemic	NN
cord-333088-ygdau2px	54	14	transmission	transmission	NN
cord-333088-ygdau2px	54	15	processes	process	NNS
cord-333088-ygdau2px	54	16	of	of	IN
cord-333088-ygdau2px	54	17	severe	severe	JJ
cord-333088-ygdau2px	54	18	acute	acute	JJ
cord-333088-ygdau2px	54	19	respiratory	respiratory	JJ
cord-333088-ygdau2px	54	20	syndrome	syndrome	NN
cord-333088-ygdau2px	54	21	or	or	CC
cord-333088-ygdau2px	54	22	SARS	SARS	NNP
cord-333088-ygdau2px	54	23	(	(	-LRB-
cord-333088-ygdau2px	54	24	Masuda	Masuda	NNP
cord-333088-ygdau2px	54	25	et	et	FW
cord-333088-ygdau2px	54	26	al	al	NNP
cord-333088-ygdau2px	54	27	.	.	NNP
cord-333088-ygdau2px	54	28	,	,	,
cord-333088-ygdau2px	54	29	2004	2004	CD
cord-333088-ygdau2px	54	30	;	;	:
cord-333088-ygdau2px	54	31	Verdasca	Verdasca	NNP
cord-333088-ygdau2px	54	32	et	et	NNP
cord-333088-ygdau2px	54	33	al	al	NNP
cord-333088-ygdau2px	54	34	.	.	NNP
cord-333088-ygdau2px	54	35	,	,	,
cord-333088-ygdau2px	54	36	2005	2005	CD
cord-333088-ygdau2px	54	37	)	)	-RRB-
cord-333088-ygdau2px	54	38	.	.	.
cord-333088-ygdau2px	55	1	We	-PRON-	PRP
cord-333088-ygdau2px	55	2	demonstrate	demonstrate	VBP
cord-333088-ygdau2px	55	3	that	that	IN
cord-333088-ygdau2px	55	4	the	the	DT
cord-333088-ygdau2px	55	5	HM	HM	NNP
cord-333088-ygdau2px	55	6	model	model	NN
cord-333088-ygdau2px	55	7	can	can	MD
cord-333088-ygdau2px	55	8	accurately	accurately	RB
cord-333088-ygdau2px	55	9	approximate	approximate	VB
cord-333088-ygdau2px	55	10	the	the	DT
cord-333088-ygdau2px	55	11	endemic	endemic	JJ
cord-333088-ygdau2px	55	12	steady	steady	JJ
cord-333088-ygdau2px	55	13	states	state	NNS
cord-333088-ygdau2px	55	14	of	of	IN
cord-333088-ygdau2px	55	15	the	the	DT
cord-333088-ygdau2px	55	16	stochastic	stochastic	JJ
cord-333088-ygdau2px	55	17	SIRS	SIRS	NNP
cord-333088-ygdau2px	55	18	system	system	NN
cord-333088-ygdau2px	55	19	,	,	,
cord-333088-ygdau2px	55	20	including	include	VBG
cord-333088-ygdau2px	55	21	its	-PRON-	PRP$
cord-333088-ygdau2px	55	22	short	short	JJ
cord-333088-ygdau2px	55	23	and	and	CC
cord-333088-ygdau2px	55	24	long	long	JJ
cord-333088-ygdau2px	55	25	transients	transient	NNS
cord-333088-ygdau2px	55	26	of	of	IN
cord-333088-ygdau2px	55	27	damped	damped	JJ
cord-333088-ygdau2px	55	28	cycles	cycle	NNS
cord-333088-ygdau2px	55	29	under	under	IN
cord-333088-ygdau2px	55	30	two	two	CD
cord-333088-ygdau2px	55	31	different	different	JJ
cord-333088-ygdau2px	55	32	parameter	parameter	NN
cord-333088-ygdau2px	55	33	regimes	regime	NNS
cord-333088-ygdau2px	55	34	,	,	,
cord-333088-ygdau2px	55	35	for	for	IN
cord-333088-ygdau2px	55	36	all	all	DT
cord-333088-ygdau2px	55	37	config	config	NN
cord-333088-ygdau2px	55	38	-	-	HYPH
cord-333088-ygdau2px	55	39	urations	uration	NNS
cord-333088-ygdau2px	55	40	between	between	IN
cord-333088-ygdau2px	55	41	the	the	DT
cord-333088-ygdau2px	55	42	regular	regular	JJ
cord-333088-ygdau2px	55	43	and	and	CC
cord-333088-ygdau2px	55	44	random	random	JJ
cord-333088-ygdau2px	55	45	networks	network	NNS
cord-333088-ygdau2px	55	46	.	.	.
cord-333088-ygdau2px	56	1	We	-PRON-	PRP
cord-333088-ygdau2px	56	2	show	show	VBP
cord-333088-ygdau2px	56	3	that	that	IN
cord-333088-ygdau2px	56	4	this	this	DT
cord-333088-ygdau2px	56	5	result	result	NN
cord-333088-ygdau2px	56	6	implies	imply	VBZ
cord-333088-ygdau2px	56	7	the	the	DT
cord-333088-ygdau2px	56	8	establishment	establishment	NN
cord-333088-ygdau2px	56	9	early	early	RB
cord-333088-ygdau2px	56	10	on	on	RB
cord-333088-ygdau2px	56	11	in	in	IN
cord-333088-ygdau2px	56	12	the	the	DT
cord-333088-ygdau2px	56	13	transients	transient	NNS
cord-333088-ygdau2px	56	14	of	of	IN
cord-333088-ygdau2px	56	15	a	a	DT
cord-333088-ygdau2px	56	16	double	double	JJ
cord-333088-ygdau2px	56	17	power	power	NN
cord-333088-ygdau2px	56	18	-	-	HYPH
cord-333088-ygdau2px	56	19	law	law	NN
cord-333088-ygdau2px	56	20	scaling	scaling	NN
cord-333088-ygdau2px	56	21	relationship	relationship	NN
cord-333088-ygdau2px	56	22	between	between	IN
cord-333088-ygdau2px	56	23	the	the	DT
cord-333088-ygdau2px	56	24	covariance	covariance	NN
cord-333088-ygdau2px	56	25	structure	structure	NN
cord-333088-ygdau2px	56	26	on	on	IN
cord-333088-ygdau2px	56	27	the	the	DT
cord-333088-ygdau2px	56	28	network	network	NN
cord-333088-ygdau2px	56	29	and	and	CC
cord-333088-ygdau2px	56	30	global	global	JJ
cord-333088-ygdau2px	56	31	(	(	-LRB-
cord-333088-ygdau2px	56	32	mean	mean	JJ
cord-333088-ygdau2px	56	33	)	)	-RRB-
cord-333088-ygdau2px	56	34	quantities	quantity	NNS
cord-333088-ygdau2px	56	35	at	at	IN
cord-333088-ygdau2px	56	36	the	the	DT
cord-333088-ygdau2px	56	37	population	population	NN
cord-333088-ygdau2px	56	38	level	level	NN
cord-333088-ygdau2px	56	39	(	(	-LRB-
cord-333088-ygdau2px	56	40	the	the	DT
cord-333088-ygdau2px	56	41	total	total	JJ
cord-333088-ygdau2px	56	42	numbers	number	NNS
cord-333088-ygdau2px	56	43	of	of	IN
cord-333088-ygdau2px	56	44	susceptible	susceptible	JJ
cord-333088-ygdau2px	56	45	and	and	CC
cord-333088-ygdau2px	56	46	infective	infective	JJ
cord-333088-ygdau2px	56	47	individuals	individual	NNS
cord-333088-ygdau2px	56	48	)	)	-RRB-
cord-333088-ygdau2px	56	49	.	.	.
cord-333088-ygdau2px	57	1	We	-PRON-	PRP
cord-333088-ygdau2px	57	2	also	also	RB
cord-333088-ygdau2px	57	3	demonstrate	demonstrate	VBP
cord-333088-ygdau2px	57	4	the	the	DT
cord-333088-ygdau2px	57	5	existence	existence	NN
cord-333088-ygdau2px	57	6	of	of	IN
cord-333088-ygdau2px	57	7	a	a	DT
cord-333088-ygdau2px	57	8	complex	complex	JJ
cord-333088-ygdau2px	57	9	dynamical	dynamical	JJ
cord-333088-ygdau2px	57	10	behavior	behavior	NN
cord-333088-ygdau2px	57	11	in	in	IN
cord-333088-ygdau2px	57	12	the	the	DT
cord-333088-ygdau2px	57	13	stochastic	stochastic	JJ
cord-333088-ygdau2px	57	14	system	system	NN
cord-333088-ygdau2px	57	15	within	within	IN
cord-333088-ygdau2px	57	16	the	the	DT
cord-333088-ygdau2px	57	17	narrow	narrow	JJ
cord-333088-ygdau2px	57	18	small	small	JJ
cord-333088-ygdau2px	57	19	-	-	HYPH
cord-333088-ygdau2px	57	20	world	world	NN
cord-333088-ygdau2px	57	21	region	region	NN
cord-333088-ygdau2px	57	22	,	,	,
cord-333088-ygdau2px	57	23	consisting	consist	VBG
cord-333088-ygdau2px	57	24	of	of	IN
cord-333088-ygdau2px	57	25	persistent	persistent	JJ
cord-333088-ygdau2px	57	26	cycles	cycle	NNS
cord-333088-ygdau2px	57	27	with	with	IN
cord-333088-ygdau2px	57	28	enhanced	enhanced	JJ
cord-333088-ygdau2px	57	29	amplitude	amplitude	NN
cord-333088-ygdau2px	57	30	and	and	CC
cord-333088-ygdau2px	57	31	a	a	DT
cord-333088-ygdau2px	57	32	well	well	RB
cord-333088-ygdau2px	57	33	-	-	HYPH
cord-333088-ygdau2px	57	34	defined	define	VBN
cord-333088-ygdau2px	57	35	period	period	NN
cord-333088-ygdau2px	57	36	that	that	WDT
cord-333088-ygdau2px	57	37	are	be	VBP
cord-333088-ygdau2px	57	38	not	not	RB
cord-333088-ygdau2px	57	39	predicted	predict	VBN
cord-333088-ygdau2px	57	40	by	by	IN
cord-333088-ygdau2px	57	41	the	the	DT
cord-333088-ygdau2px	57	42	equivalent	equivalent	JJ
cord-333088-ygdau2px	57	43	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	57	44	mean	mean	JJ
cord-333088-ygdau2px	57	45	-	-	HYPH
cord-333088-ygdau2px	57	46	field	field	NN
cord-333088-ygdau2px	57	47	model	model	NN
cord-333088-ygdau2px	57	48	.	.	.
cord-333088-ygdau2px	58	1	In	in	IN
cord-333088-ygdau2px	58	2	this	this	DT
cord-333088-ygdau2px	58	3	case	case	NN
cord-333088-ygdau2px	58	4	,	,	,
cord-333088-ygdau2px	58	5	the	the	DT
cord-333088-ygdau2px	58	6	HM	HM	NNP
cord-333088-ygdau2px	58	7	model	model	NN
cord-333088-ygdau2px	58	8	captures	capture	VBZ
cord-333088-ygdau2px	58	9	the	the	DT
cord-333088-ygdau2px	58	10	mean	mean	JJ
cord-333088-ygdau2px	58	11	infection	infection	NN
cord-333088-ygdau2px	58	12	level	level	NN
cord-333088-ygdau2px	58	13	and	and	CC
cord-333088-ygdau2px	58	14	the	the	DT
cord-333088-ygdau2px	58	15	overall	overall	JJ
cord-333088-ygdau2px	58	16	pattern	pattern	NN
cord-333088-ygdau2px	58	17	of	of	IN
cord-333088-ygdau2px	58	18	the	the	DT
cord-333088-ygdau2px	58	19	decaying	decay	VBG
cord-333088-ygdau2px	58	20	transient	transient	JJ
cord-333088-ygdau2px	58	21	cycles	cycle	NNS
cord-333088-ygdau2px	58	22	,	,	,
cord-333088-ygdau2px	58	23	but	but	CC
cord-333088-ygdau2px	58	24	not	not	RB
cord-333088-ygdau2px	58	25	their	-PRON-	PRP$
cord-333088-ygdau2px	58	26	phases	phase	NNS
cord-333088-ygdau2px	58	27	.	.	.
cord-333088-ygdau2px	59	1	The	the	DT
cord-333088-ygdau2px	59	2	model	model	NN
cord-333088-ygdau2px	59	3	also	also	RB
cord-333088-ygdau2px	59	4	fails	fail	VBZ
cord-333088-ygdau2px	59	5	to	to	TO
cord-333088-ygdau2px	59	6	reproduce	reproduce	VB
cord-333088-ygdau2px	59	7	the	the	DT
cord-333088-ygdau2px	59	8	persistence	persistence	NN
cord-333088-ygdau2px	59	9	of	of	IN
cord-333088-ygdau2px	59	10	the	the	DT
cord-333088-ygdau2px	59	11	cycles	cycle	NNS
cord-333088-ygdau2px	59	12	.	.	.
cord-333088-ygdau2px	60	1	We	-PRON-	PRP
cord-333088-ygdau2px	60	2	conclude	conclude	VBP
cord-333088-ygdau2px	60	3	by	by	IN
cord-333088-ygdau2px	60	4	discussing	discuss	VBG
cord-333088-ygdau2px	60	5	the	the	DT
cord-333088-ygdau2px	60	6	potential	potential	JJ
cord-333088-ygdau2px	60	7	significance	significance	NN
cord-333088-ygdau2px	60	8	and	and	CC
cord-333088-ygdau2px	60	9	limitations	limitation	NNS
cord-333088-ygdau2px	60	10	of	of	IN
cord-333088-ygdau2px	60	11	these	these	DT
cord-333088-ygdau2px	60	12	observations	observation	NNS
cord-333088-ygdau2px	60	13	.	.	.
cord-333088-ygdau2px	61	1	The	the	DT
cord-333088-ygdau2px	61	2	model	model	NN
cord-333088-ygdau2px	61	3	2.1	2.1	CD
cord-333088-ygdau2px	61	4	.	.	.
cord-333088-ygdau2px	62	1	Stochastic	stochastic	JJ
cord-333088-ygdau2px	62	2	formulation	formulation	NN
cord-333088-ygdau2px	63	1	The	the	DT
cord-333088-ygdau2px	63	2	population	population	NN
cord-333088-ygdau2px	63	3	structure	structure	NN
cord-333088-ygdau2px	63	4	,	,	,
cord-333088-ygdau2px	63	5	that	that	RB
cord-333088-ygdau2px	63	6	is	is	RB
cord-333088-ygdau2px	63	7	,	,	,
cord-333088-ygdau2px	63	8	the	the	DT
cord-333088-ygdau2px	63	9	social	social	JJ
cord-333088-ygdau2px	63	10	contact	contact	NN
cord-333088-ygdau2px	63	11	pattern	pattern	NN
cord-333088-ygdau2px	63	12	among	among	IN
cord-333088-ygdau2px	63	13	individuals	individual	NNS
cord-333088-ygdau2px	63	14	in	in	IN
cord-333088-ygdau2px	63	15	the	the	DT
cord-333088-ygdau2px	63	16	population	population	NN
cord-333088-ygdau2px	63	17	,	,	,
cord-333088-ygdau2px	63	18	is	be	VBZ
cord-333088-ygdau2px	63	19	modeled	model	VBN
cord-333088-ygdau2px	63	20	using	use	VBG
cord-333088-ygdau2px	63	21	a	a	DT
cord-333088-ygdau2px	63	22	small	small	JJ
cord-333088-ygdau2px	63	23	-	-	HYPH
cord-333088-ygdau2px	63	24	world	world	NN
cord-333088-ygdau2px	63	25	framework	framework	NN
cord-333088-ygdau2px	63	26	as	as	IN
cord-333088-ygdau2px	63	27	follows	follow	VBZ
cord-333088-ygdau2px	63	28	.	.	.
cord-333088-ygdau2px	64	1	We	-PRON-	PRP
cord-333088-ygdau2px	64	2	start	start	VBP
cord-333088-ygdau2px	64	3	with	with	IN
cord-333088-ygdau2px	64	4	a	a	DT
cord-333088-ygdau2px	64	5	spatial	spatial	JJ
cord-333088-ygdau2px	64	6	grid	grid	NN
cord-333088-ygdau2px	64	7	with	with	IN
cord-333088-ygdau2px	64	8	the	the	DT
cord-333088-ygdau2px	64	9	interaction	interaction	NN
cord-333088-ygdau2px	64	10	neighborhood	neighborhood	NN
cord-333088-ygdau2px	64	11	restricted	restrict	VBN
cord-333088-ygdau2px	64	12	to	to	IN
cord-333088-ygdau2px	64	13	eight	eight	CD
cord-333088-ygdau2px	64	14	neighbors	neighbor	NNS
cord-333088-ygdau2px	64	15	(	(	-LRB-
cord-333088-ygdau2px	64	16	Fig	Fig	NNP
cord-333088-ygdau2px	64	17	.	.	.
cord-333088-ygdau2px	64	18	1A	1a	NN
cord-333088-ygdau2px	64	19	)	)	-RRB-
cord-333088-ygdau2px	64	20	and	and	CC
cord-333088-ygdau2px	64	21	periodic	periodic	JJ
cord-333088-ygdau2px	64	22	boundary	boundary	JJ
cord-333088-ygdau2px	64	23	condition	condition	NN
cord-333088-ygdau2px	64	24	,	,	,
cord-333088-ygdau2px	64	25	and	and	CC
cord-333088-ygdau2px	64	26	randomly	randomly	RB
cord-333088-ygdau2px	64	27	rewire	rewire	VB
cord-333088-ygdau2px	64	28	a	a	DT
cord-333088-ygdau2px	64	29	fraction	fraction	NN
cord-333088-ygdau2px	64	30	f	f	NN
cord-333088-ygdau2px	64	31	of	of	IN
cord-333088-ygdau2px	64	32	the	the	DT
cord-333088-ygdau2px	64	33	local	local	JJ
cord-333088-ygdau2px	64	34	connections	connection	NNS
cord-333088-ygdau2px	64	35	(	(	-LRB-
cord-333088-ygdau2px	64	36	avoiding	avoid	VBG
cord-333088-ygdau2px	64	37	self	self	NN
cord-333088-ygdau2px	64	38	and	and	CC
cord-333088-ygdau2px	64	39	multiple	multiple	JJ
cord-333088-ygdau2px	64	40	connections	connection	NNS
cord-333088-ygdau2px	64	41	)	)	-RRB-
cord-333088-ygdau2px	64	42	such	such	JJ
cord-333088-ygdau2px	64	43	that	that	IN
cord-333088-ygdau2px	64	44	the	the	DT
cord-333088-ygdau2px	64	45	average	average	JJ
cord-333088-ygdau2px	64	46	number	number	NN
cord-333088-ygdau2px	64	47	of	of	IN
cord-333088-ygdau2px	64	48	connections	connection	NNS
cord-333088-ygdau2px	64	49	per	per	IN
cord-333088-ygdau2px	64	50	individual	individual	NN
cord-333088-ygdau2px	64	51	is	be	VBZ
cord-333088-ygdau2px	64	52	preserved	preserve	VBN
cord-333088-ygdau2px	64	53	at	at	IN
cord-333088-ygdau2px	64	54	n	n	NN
cord-333088-ygdau2px	64	55	0	0	CD
cord-333088-ygdau2px	64	56	(	(	-LRB-
cord-333088-ygdau2px	64	57	=	=	SYM
cord-333088-ygdau2px	64	58	8	8	CD
cord-333088-ygdau2px	64	59	in	in	IN
cord-333088-ygdau2px	64	60	this	this	DT
cord-333088-ygdau2px	64	61	case	case	NN
cord-333088-ygdau2px	64	62	)	)	-RRB-
cord-333088-ygdau2px	64	63	.	.	.
cord-333088-ygdau2px	65	1	We	-PRON-	PRP
cord-333088-ygdau2px	65	2	call	call	VBP
cord-333088-ygdau2px	65	3	f	f	NNP
cord-333088-ygdau2px	65	4	the	the	DT
cord-333088-ygdau2px	65	5	'	'	''
cord-333088-ygdau2px	65	6	'	'	``
cord-333088-ygdau2px	65	7	short	short	RB
cord-333088-ygdau2px	65	8	-	-	HYPH
cord-333088-ygdau2px	65	9	cut	cut	NN
cord-333088-ygdau2px	65	10	'	'	''
cord-333088-ygdau2px	65	11	'	'	''
cord-333088-ygdau2px	65	12	parameter	parameter	NN
cord-333088-ygdau2px	65	13	of	of	IN
cord-333088-ygdau2px	65	14	the	the	DT
cord-333088-ygdau2px	65	15	network	network	NN
cord-333088-ygdau2px	65	16	.	.	.
cord-333088-ygdau2px	66	1	This	this	DT
cord-333088-ygdau2px	66	2	is	be	VBZ
cord-333088-ygdau2px	66	3	a	a	DT
cord-333088-ygdau2px	66	4	two	two	CD
cord-333088-ygdau2px	66	5	-	-	HYPH
cord-333088-ygdau2px	66	6	dimensional	dimensional	JJ
cord-333088-ygdau2px	66	7	extension	extension	NN
cord-333088-ygdau2px	66	8	of	of	IN
cord-333088-ygdau2px	66	9	the	the	DT
cord-333088-ygdau2px	66	10	algorithm	algorithm	NN
cord-333088-ygdau2px	66	11	described	describe	VBN
cord-333088-ygdau2px	66	12	in	in	IN
cord-333088-ygdau2px	66	13	Watts	Watts	NNP
cord-333088-ygdau2px	66	14	and	and	CC
cord-333088-ygdau2px	66	15	Strogatz	Strogatz	NNP
cord-333088-ygdau2px	66	16	(	(	-LRB-
cord-333088-ygdau2px	66	17	1998	1998	CD
cord-333088-ygdau2px	66	18	)	)	-RRB-
cord-333088-ygdau2px	66	19	.	.	.
cord-333088-ygdau2px	67	1	As	as	IN
cord-333088-ygdau2px	67	2	pointed	point	VBN
cord-333088-ygdau2px	67	3	out	out	RP
cord-333088-ygdau2px	67	4	by	by	IN
cord-333088-ygdau2px	67	5	Newman	Newman	NNP
cord-333088-ygdau2px	67	6	and	and	CC
cord-333088-ygdau2px	67	7	Watts	Watts	NNP
cord-333088-ygdau2px	67	8	(	(	-LRB-
cord-333088-ygdau2px	67	9	1999	1999	CD
cord-333088-ygdau2px	67	10	)	)	-RRB-
cord-333088-ygdau2px	67	11	,	,	,
cord-333088-ygdau2px	67	12	a	a	DT
cord-333088-ygdau2px	67	13	problem	problem	NN
cord-333088-ygdau2px	67	14	with	with	IN
cord-333088-ygdau2px	67	15	these	these	DT
cord-333088-ygdau2px	67	16	algorithms	algorithm	NNS
cord-333088-ygdau2px	67	17	is	be	VBZ
cord-333088-ygdau2px	67	18	the	the	DT
cord-333088-ygdau2px	67	19	small	small	JJ
cord-333088-ygdau2px	67	20	but	but	CC
cord-333088-ygdau2px	67	21	finite	finite	JJ
cord-333088-ygdau2px	67	22	probability	probability	NN
cord-333088-ygdau2px	67	23	of	of	IN
cord-333088-ygdau2px	67	24	the	the	DT
cord-333088-ygdau2px	67	25	existence	existence	NN
cord-333088-ygdau2px	67	26	of	of	IN
cord-333088-ygdau2px	67	27	isolated	isolate	VBN
cord-333088-ygdau2px	67	28	sub	sub	NN
cord-333088-ygdau2px	67	29	-	-	NNS
cord-333088-ygdau2px	67	30	networks	network	NNS
cord-333088-ygdau2px	67	31	.	.	.
cord-333088-ygdau2px	68	1	We	-PRON-	PRP
cord-333088-ygdau2px	68	2	consider	consider	VBP
cord-333088-ygdau2px	68	3	only	only	RB
cord-333088-ygdau2px	68	4	those	those	DT
cord-333088-ygdau2px	68	5	configurations	configuration	NNS
cord-333088-ygdau2px	68	6	that	that	WDT
cord-333088-ygdau2px	68	7	are	be	VBP
cord-333088-ygdau2px	68	8	completely	completely	RB
cord-333088-ygdau2px	68	9	connected	connect	VBN
cord-333088-ygdau2px	68	10	.	.	.
cord-333088-ygdau2px	69	1	For	for	IN
cord-333088-ygdau2px	69	2	f	f	NN
cord-333088-ygdau2px	69	3	=	=	SYM
cord-333088-ygdau2px	69	4	0	0	NFP
cord-333088-ygdau2px	69	5	we	-PRON-	PRP
cord-333088-ygdau2px	69	6	have	have	VBP
cord-333088-ygdau2px	69	7	a	a	DT
cord-333088-ygdau2px	69	8	regular	regular	JJ
cord-333088-ygdau2px	69	9	grid	grid	NN
cord-333088-ygdau2px	69	10	(	(	-LRB-
cord-333088-ygdau2px	69	11	Fig	Fig	NNP
cord-333088-ygdau2px	69	12	.	.	.
cord-333088-ygdau2px	69	13	1A	1a	NN
cord-333088-ygdau2px	69	14	)	)	-RRB-
cord-333088-ygdau2px	69	15	,	,	,
cord-333088-ygdau2px	69	16	whereas	whereas	IN
cord-333088-ygdau2px	69	17	f	f	NNP
cord-333088-ygdau2px	69	18	=	=	SYM
cord-333088-ygdau2px	69	19	1	1	NNP
cord-333088-ygdau2px	69	20	gives	give	VBZ
cord-333088-ygdau2px	69	21	a	a	DT
cord-333088-ygdau2px	69	22	random	random	JJ
cord-333088-ygdau2px	69	23	network	network	NN
cord-333088-ygdau2px	69	24	(	(	-LRB-
cord-333088-ygdau2px	69	25	Fig	Fig	NNP
cord-333088-ygdau2px	69	26	.	.	.
cord-333088-ygdau2px	69	27	1C	1C	NNP
cord-333088-ygdau2px	69	28	)	)	-RRB-
cord-333088-ygdau2px	69	29	.	.	.
cord-333088-ygdau2px	70	1	In	in	IN
cord-333088-ygdau2px	70	2	between	between	IN
cord-333088-ygdau2px	70	3	these	these	DT
cord-333088-ygdau2px	70	4	extremes	extreme	NNS
cord-333088-ygdau2px	70	5	,	,	,
cord-333088-ygdau2px	70	6	there	there	EX
cord-333088-ygdau2px	70	7	is	be	VBZ
cord-333088-ygdau2px	70	8	a	a	DT
cord-333088-ygdau2px	70	9	range	range	NN
cord-333088-ygdau2px	70	10	of	of	IN
cord-333088-ygdau2px	70	11	f	f	NNP
cord-333088-ygdau2px	70	12	values	value	NNS
cord-333088-ygdau2px	70	13	near	near	IN
cord-333088-ygdau2px	70	14	0.01	0.01	CD
cord-333088-ygdau2px	70	15	within	within	IN
cord-333088-ygdau2px	70	16	which	which	WDT
cord-333088-ygdau2px	70	17	the	the	DT
cord-333088-ygdau2px	70	18	network	network	NN
cord-333088-ygdau2px	70	19	exhibits	exhibit	VBZ
cord-333088-ygdau2px	70	20	small	small	JJ
cord-333088-ygdau2px	70	21	-	-	HYPH
cord-333088-ygdau2px	70	22	world	world	NN
cord-333088-ygdau2px	70	23	properties	property	NNS
cord-333088-ygdau2px	70	24	(	(	-LRB-
cord-333088-ygdau2px	70	25	Fig	Fig	NNP
cord-333088-ygdau2px	70	26	.	.	.
cord-333088-ygdau2px	70	27	1B	1b	CD
cord-333088-ygdau2px	70	28	)	)	-RRB-
cord-333088-ygdau2px	70	29	.	.	.
cord-333088-ygdau2px	71	1	In	in	IN
cord-333088-ygdau2px	71	2	this	this	DT
cord-333088-ygdau2px	71	3	region	region	NN
cord-333088-ygdau2px	71	4	,	,	,
cord-333088-ygdau2px	71	5	most	most	JJS
cord-333088-ygdau2px	71	6	local	local	JJ
cord-333088-ygdau2px	71	7	connections	connection	NNS
cord-333088-ygdau2px	71	8	remain	remain	VBP
cord-333088-ygdau2px	71	9	intact	intact	JJ
cord-333088-ygdau2px	71	10	making	make	VBG
cord-333088-ygdau2px	71	11	the	the	DT
cord-333088-ygdau2px	71	12	network	network	NN
cord-333088-ygdau2px	71	13	highly	highly	RB
cord-333088-ygdau2px	71	14	'	'	''
cord-333088-ygdau2px	71	15	'	'	``
cord-333088-ygdau2px	71	16	clustered	cluster	VBN
cord-333088-ygdau2px	71	17	'	'	''
cord-333088-ygdau2px	71	18	'	'	''
cord-333088-ygdau2px	71	19	like	like	IN
cord-333088-ygdau2px	71	20	the	the	DT
cord-333088-ygdau2px	71	21	regular	regular	JJ
cord-333088-ygdau2px	71	22	grid	grid	NN
cord-333088-ygdau2px	71	23	,	,	,
cord-333088-ygdau2px	71	24	with	with	IN
cord-333088-ygdau2px	71	25	occasional	occasional	JJ
cord-333088-ygdau2px	71	26	short	short	JJ
cord-333088-ygdau2px	71	27	-	-	HYPH
cord-333088-ygdau2px	71	28	cuts	cut	NNS
cord-333088-ygdau2px	71	29	that	that	WDT
cord-333088-ygdau2px	71	30	lower	lower	VBP
cord-333088-ygdau2px	71	31	the	the	DT
cord-333088-ygdau2px	71	32	average	average	JJ
cord-333088-ygdau2px	71	33	distance	distance	NN
cord-333088-ygdau2px	71	34	between	between	IN
cord-333088-ygdau2px	71	35	nodes	node	NNS
cord-333088-ygdau2px	71	36	drastically	drastically	RB
cord-333088-ygdau2px	71	37	as	as	IN
cord-333088-ygdau2px	71	38	in	in	IN
cord-333088-ygdau2px	71	39	the	the	DT
cord-333088-ygdau2px	71	40	random	random	JJ
cord-333088-ygdau2px	71	41	network	network	NN
cord-333088-ygdau2px	71	42	.	.	.
cord-333088-ygdau2px	72	1	These	these	DT
cord-333088-ygdau2px	72	2	properties	property	NNS
cord-333088-ygdau2px	72	3	are	be	VBP
cord-333088-ygdau2px	72	4	illustrated	illustrate	VBN
cord-333088-ygdau2px	72	5	with	with	IN
cord-333088-ygdau2px	72	6	two	two	CD
cord-333088-ygdau2px	72	7	quantities	quantity	NNS
cord-333088-ygdau2px	72	8	,	,	,
cord-333088-ygdau2px	72	9	the	the	DT
cord-333088-ygdau2px	72	10	'	'	''
cord-333088-ygdau2px	72	11	'	'	``
cord-333088-ygdau2px	72	12	clustering	clustering	NN
cord-333088-ygdau2px	72	13	coefficient	coefficient	NN
cord-333088-ygdau2px	72	14	'	'	''
cord-333088-ygdau2px	72	15	'	'	''
cord-333088-ygdau2px	72	16	C	c	NN
cord-333088-ygdau2px	72	17	and	and	CC
cord-333088-ygdau2px	72	18	the	the	DT
cord-333088-ygdau2px	72	19	'	'	''
cord-333088-ygdau2px	72	20	'	'	``
cord-333088-ygdau2px	72	21	average	average	JJ
cord-333088-ygdau2px	72	22	path	path	NN
cord-333088-ygdau2px	72	23	length	length	NN
cord-333088-ygdau2px	72	24	'	'	''
cord-333088-ygdau2px	72	25	'	'	''
cord-333088-ygdau2px	72	26	L	L	NNP
cord-333088-ygdau2px	72	27	(	(	-LRB-
cord-333088-ygdau2px	72	28	Watts	Watts	NNP
cord-333088-ygdau2px	72	29	,	,	,
cord-333088-ygdau2px	72	30	2003	2003	CD
cord-333088-ygdau2px	72	31	)	)	-RRB-
cord-333088-ygdau2px	72	32	.	.	.
cord-333088-ygdau2px	73	1	C	C	NNP
cord-333088-ygdau2px	73	2	denotes	denote	VBZ
cord-333088-ygdau2px	73	3	the	the	DT
cord-333088-ygdau2px	73	4	probability	probability	NN
cord-333088-ygdau2px	73	5	that	that	IN
cord-333088-ygdau2px	73	6	two	two	CD
cord-333088-ygdau2px	73	7	neighbors	neighbor	NNS
cord-333088-ygdau2px	73	8	of	of	IN
cord-333088-ygdau2px	73	9	a	a	DT
cord-333088-ygdau2px	73	10	node	node	NN
cord-333088-ygdau2px	73	11	are	be	VBP
cord-333088-ygdau2px	73	12	themselves	-PRON-	PRP
cord-333088-ygdau2px	73	13	neighbor	neighbor	NN
cord-333088-ygdau2px	73	14	,	,	,
cord-333088-ygdau2px	73	15	and	and	CC
cord-333088-ygdau2px	73	16	L	L	NNP
cord-333088-ygdau2px	73	17	denotes	denote	VBZ
cord-333088-ygdau2px	73	18	the	the	DT
cord-333088-ygdau2px	73	19	average	average	JJ
cord-333088-ygdau2px	73	20	shortest	short	JJS
cord-333088-ygdau2px	73	21	distance	distance	NN
cord-333088-ygdau2px	73	22	between	between	IN
cord-333088-ygdau2px	73	23	two	two	CD
cord-333088-ygdau2px	73	24	nodes	node	NNS
cord-333088-ygdau2px	73	25	in	in	IN
cord-333088-ygdau2px	73	26	the	the	DT
cord-333088-ygdau2px	73	27	network	network	NN
cord-333088-ygdau2px	73	28	.	.	.
cord-333088-ygdau2px	74	1	The	the	DT
cord-333088-ygdau2px	74	2	small	small	JJ
cord-333088-ygdau2px	74	3	-	-	HYPH
cord-333088-ygdau2px	74	4	world	world	NN
cord-333088-ygdau2px	74	5	network	network	NN
cord-333088-ygdau2px	74	6	exhibits	exhibit	VBZ
cord-333088-ygdau2px	74	7	the	the	DT
cord-333088-ygdau2px	74	8	characteristic	characteristic	JJ
cord-333088-ygdau2px	74	9	property	property	NN
cord-333088-ygdau2px	74	10	of	of	IN
cord-333088-ygdau2px	74	11	having	have	VBG
cord-333088-ygdau2px	74	12	a	a	DT
cord-333088-ygdau2px	74	13	high	high	JJ
cord-333088-ygdau2px	74	14	value	value	NN
cord-333088-ygdau2px	74	15	of	of	IN
cord-333088-ygdau2px	74	16	C	c	NN
cord-333088-ygdau2px	74	17	and	and	CC
cord-333088-ygdau2px	74	18	simultaneously	simultaneously	RB
cord-333088-ygdau2px	74	19	a	a	DT
cord-333088-ygdau2px	74	20	low	low	JJ
cord-333088-ygdau2px	74	21	value	value	NN
cord-333088-ygdau2px	74	22	of	of	IN
cord-333088-ygdau2px	74	23	L	l	NN
cord-333088-ygdau2px	74	24	(	(	-LRB-
cord-333088-ygdau2px	74	25	Fig	Fig	NNP
cord-333088-ygdau2px	74	26	.	.	.
cord-333088-ygdau2px	74	27	1D	1d	CD
cord-333088-ygdau2px	74	28	)	)	-RRB-
cord-333088-ygdau2px	74	29	.	.	.
cord-333088-ygdau2px	75	1	Once	once	IN
cord-333088-ygdau2px	75	2	the	the	DT
cord-333088-ygdau2px	75	3	network	network	NN
cord-333088-ygdau2px	75	4	structure	structure	NN
cord-333088-ygdau2px	75	5	is	be	VBZ
cord-333088-ygdau2px	75	6	generated	generate	VBN
cord-333088-ygdau2px	75	7	using	use	VBG
cord-333088-ygdau2px	75	8	the	the	DT
cord-333088-ygdau2px	75	9	algorithm	algorithm	NN
cord-333088-ygdau2px	75	10	described	describe	VBN
cord-333088-ygdau2px	75	11	above	above	RB
cord-333088-ygdau2px	75	12	,	,	,
cord-333088-ygdau2px	75	13	the	the	DT
cord-333088-ygdau2px	75	14	stochastic	stochastic	JJ
cord-333088-ygdau2px	75	15	SIRS	SIRS	NNP
cord-333088-ygdau2px	75	16	dynamics	dynamic	NNS
cord-333088-ygdau2px	75	17	are	be	VBP
cord-333088-ygdau2px	75	18	implemented	implement	VBN
cord-333088-ygdau2px	75	19	with	with	IN
cord-333088-ygdau2px	75	20	the	the	DT
cord-333088-ygdau2px	75	21	following	follow	VBG
cord-333088-ygdau2px	75	22	rules	rule	NNS
cord-333088-ygdau2px	75	23	:	:	:
cord-333088-ygdau2px	75	24	A	a	DT
cord-333088-ygdau2px	75	25	susceptible	susceptible	JJ
cord-333088-ygdau2px	75	26	individual	individual	NN
cord-333088-ygdau2px	75	27	gets	get	VBZ
cord-333088-ygdau2px	75	28	infected	infect	VBN
cord-333088-ygdau2px	75	29	at	at	IN
cord-333088-ygdau2px	75	30	a	a	DT
cord-333088-ygdau2px	75	31	rate	rate	NN
cord-333088-ygdau2px	75	32	n	n	NN
cord-333088-ygdau2px	75	33	I	i	NN
cord-333088-ygdau2px	75	34	b	b	NN
cord-333088-ygdau2px	75	35	,	,	,
cord-333088-ygdau2px	75	36	where	where	WRB
cord-333088-ygdau2px	75	37	n	n	CC
cord-333088-ygdau2px	75	38	I	-PRON-	PRP
cord-333088-ygdau2px	75	39	is	be	VBZ
cord-333088-ygdau2px	75	40	the	the	DT
cord-333088-ygdau2px	75	41	number	number	NN
cord-333088-ygdau2px	75	42	of	of	IN
cord-333088-ygdau2px	75	43	infective	infective	JJ
cord-333088-ygdau2px	75	44	neighbors	neighbor	NNS
cord-333088-ygdau2px	75	45	and	and	CC
cord-333088-ygdau2px	75	46	b	b	NN
cord-333088-ygdau2px	76	1	is	be	VBZ
cord-333088-ygdau2px	76	2	the	the	DT
cord-333088-ygdau2px	76	3	rate	rate	NN
cord-333088-ygdau2px	76	4	of	of	IN
cord-333088-ygdau2px	76	5	e	e	NN
cord-333088-ygdau2px	76	6	c	c	NN
cord-333088-ygdau2px	76	7	o	o	NN
cord-333088-ygdau2px	76	8	l	l	NN
cord-333088-ygdau2px	76	9	o	o	NN
cord-333088-ygdau2px	76	10	g	g	NN
cord-333088-ygdau2px	76	11	i	i	NN
cord-333088-ygdau2px	77	1	c	c	NNP
cord-333088-ygdau2px	77	2	a	a	NNP
cord-333088-ygdau2px	77	3	l	l	NN
cord-333088-ygdau2px	77	4	c	c	NN
cord-333088-ygdau2px	77	5	o	o	NN
cord-333088-ygdau2px	77	6	m	m	NN
cord-333088-ygdau2px	77	7	p	p	NN
cord-333088-ygdau2px	77	8	l	l	NN
cord-333088-ygdau2px	77	9	e	e	NN
cord-333088-ygdau2px	78	1	x	x	LS
cord-333088-ygdau2px	78	2	i	i	PRP
cord-333088-ygdau2px	78	3	t	t	NNP
cord-333088-ygdau2px	78	4	y	y	NNP
cord-333088-ygdau2px	78	5	3	3	CD
cord-333088-ygdau2px	78	6	(	(	-LRB-
cord-333088-ygdau2px	78	7	2	2	CD
cord-333088-ygdau2px	78	8	0	0	CD
cord-333088-ygdau2px	78	9	0	0	CD
cord-333088-ygdau2px	78	10	6	6	CD
cord-333088-ygdau2px	78	11	)	)	-RRB-
cord-333088-ygdau2px	78	12	8	8	CD
cord-333088-ygdau2px	78	13	0	0	CD
cord-333088-ygdau2px	78	14	-9	-9	CD
cord-333088-ygdau2px	78	15	0	0	CD
cord-333088-ygdau2px	78	16	disease	disease	NN
cord-333088-ygdau2px	78	17	transmission	transmission	NN
cord-333088-ygdau2px	78	18	across	across	IN
cord-333088-ygdau2px	78	19	a	a	DT
cord-333088-ygdau2px	78	20	connected	connected	JJ
cord-333088-ygdau2px	78	21	susceptibleinfective	susceptibleinfective	JJ
cord-333088-ygdau2px	78	22	pair	pair	NN
cord-333088-ygdau2px	78	23	.	.	.
cord-333088-ygdau2px	79	1	An	an	DT
cord-333088-ygdau2px	79	2	infective	infective	JJ
cord-333088-ygdau2px	79	3	individual	individual	NN
cord-333088-ygdau2px	79	4	loses	lose	VBZ
cord-333088-ygdau2px	79	5	infection	infection	NN
cord-333088-ygdau2px	79	6	at	at	IN
cord-333088-ygdau2px	79	7	a	a	DT
cord-333088-ygdau2px	79	8	rate	rate	NN
cord-333088-ygdau2px	79	9	g	g	NN
cord-333088-ygdau2px	79	10	and	and	CC
cord-333088-ygdau2px	79	11	recovers	recover	VBZ
cord-333088-ygdau2px	79	12	temporarily	temporarily	RB
cord-333088-ygdau2px	79	13	.	.	.
cord-333088-ygdau2px	80	1	A	a	DT
cord-333088-ygdau2px	80	2	recovered	recover	VBN
cord-333088-ygdau2px	80	3	individual	individual	NN
cord-333088-ygdau2px	80	4	loses	lose	VBZ
cord-333088-ygdau2px	80	5	its	-PRON-	PRP$
cord-333088-ygdau2px	80	6	temporary	temporary	JJ
cord-333088-ygdau2px	80	7	immunity	immunity	NN
cord-333088-ygdau2px	80	8	at	at	IN
cord-333088-ygdau2px	80	9	a	a	DT
cord-333088-ygdau2px	80	10	rate	rate	NN
cord-333088-ygdau2px	80	11	d	d	NN
cord-333088-ygdau2px	80	12	and	and	CC
cord-333088-ygdau2px	80	13	becomes	become	VBZ
cord-333088-ygdau2px	80	14	susceptible	susceptible	JJ
cord-333088-ygdau2px	80	15	again	again	RB
cord-333088-ygdau2px	80	16	.	.	.
cord-333088-ygdau2px	81	1	Stochasticity	stochasticity	NN
cord-333088-ygdau2px	81	2	arises	arise	VBZ
cord-333088-ygdau2px	81	3	because	because	IN
cord-333088-ygdau2px	81	4	the	the	DT
cord-333088-ygdau2px	81	5	rate	rate	NN
cord-333088-ygdau2px	81	6	of	of	IN
cord-333088-ygdau2px	81	7	each	each	DT
cord-333088-ygdau2px	81	8	event	event	NN
cord-333088-ygdau2px	81	9	specifies	specify	VBZ
cord-333088-ygdau2px	81	10	a	a	DT
cord-333088-ygdau2px	81	11	stochastic	stochastic	JJ
cord-333088-ygdau2px	81	12	process	process	NN
cord-333088-ygdau2px	81	13	with	with	IN
cord-333088-ygdau2px	81	14	a	a	DT
cord-333088-ygdau2px	81	15	Poisson	Poisson	NNP
cord-333088-ygdau2px	81	16	-	-	HYPH
cord-333088-ygdau2px	81	17	distributed	distribute	VBN
cord-333088-ygdau2px	81	18	time	time	NN
cord-333088-ygdau2px	81	19	-	-	HYPH
cord-333088-ygdau2px	81	20	intervals	interval	NNS
cord-333088-ygdau2px	81	21	between	between	IN
cord-333088-ygdau2px	81	22	successive	successive	JJ
cord-333088-ygdau2px	81	23	occurrences	occurrence	NNS
cord-333088-ygdau2px	81	24	of	of	IN
cord-333088-ygdau2px	81	25	the	the	DT
cord-333088-ygdau2px	81	26	event	event	NN
cord-333088-ygdau2px	81	27	,	,	,
cord-333088-ygdau2px	81	28	with	with	IN
cord-333088-ygdau2px	81	29	a	a	DT
cord-333088-ygdau2px	81	30	mean	mean	JJ
cord-333088-ygdau2px	81	31	interval	interval	NN
cord-333088-ygdau2px	81	32	of	of	IN
cord-333088-ygdau2px	81	33	(	(	-LRB-
cord-333088-ygdau2px	81	34	rate	rate	NN
cord-333088-ygdau2px	81	35	)	)	-RRB-
cord-333088-ygdau2px	81	36	À1	à1	NN
cord-333088-ygdau2px	81	37	.	.	.
cord-333088-ygdau2px	82	1	Total	total	JJ
cord-333088-ygdau2px	82	2	population	population	NN
cord-333088-ygdau2px	82	3	size	size	NN
cord-333088-ygdau2px	82	4	is	be	VBZ
cord-333088-ygdau2px	82	5	assumed	assume	VBN
cord-333088-ygdau2px	82	6	constant	constant	JJ
cord-333088-ygdau2px	82	7	(	(	-LRB-
cord-333088-ygdau2px	82	8	demography	demography	NN
cord-333088-ygdau2px	82	9	and	and	CC
cord-333088-ygdau2px	82	10	disease	disease	NN
cord-333088-ygdau2px	82	11	-	-	HYPH
cord-333088-ygdau2px	82	12	induced	induce	VBN
cord-333088-ygdau2px	82	13	mortality	mortality	NN
cord-333088-ygdau2px	82	14	are	be	VBP
cord-333088-ygdau2px	82	15	not	not	RB
cord-333088-ygdau2px	82	16	considered	consider	VBN
cord-333088-ygdau2px	82	17	)	)	-RRB-
cord-333088-ygdau2px	82	18	,	,	,
cord-333088-ygdau2px	82	19	and	and	CC
cord-333088-ygdau2px	82	20	infection	infection	NN
cord-333088-ygdau2px	82	21	propagates	propagate	VBZ
cord-333088-ygdau2px	82	22	from	from	IN
cord-333088-ygdau2px	82	23	an	an	DT
cord-333088-ygdau2px	82	24	infective	infective	NN
cord-333088-ygdau2px	82	25	to	to	IN
cord-333088-ygdau2px	82	26	a	a	DT
cord-333088-ygdau2px	82	27	susceptible	susceptible	JJ
cord-333088-ygdau2px	82	28	individual	individual	NN
cord-333088-ygdau2px	82	29	only	only	RB
cord-333088-ygdau2px	82	30	if	if	IN
cord-333088-ygdau2px	82	31	the	the	DT
cord-333088-ygdau2px	82	32	two	two	CD
cord-333088-ygdau2px	82	33	are	be	VBP
cord-333088-ygdau2px	82	34	connected	connect	VBN
cord-333088-ygdau2px	82	35	.	.	.
cord-333088-ygdau2px	83	1	Correlations	correlation	NNS
cord-333088-ygdau2px	83	2	develop	develop	VBP
cord-333088-ygdau2px	83	3	as	as	IN
cord-333088-ygdau2px	83	4	the	the	DT
cord-333088-ygdau2px	83	5	result	result	NN
cord-333088-ygdau2px	83	6	of	of	IN
cord-333088-ygdau2px	83	7	the	the	DT
cord-333088-ygdau2px	83	8	local	local	JJ
cord-333088-ygdau2px	83	9	transmission	transmission	NN
cord-333088-ygdau2px	83	10	rules	rule	NNS
cord-333088-ygdau2px	83	11	and	and	CC
cord-333088-ygdau2px	83	12	the	the	DT
cord-333088-ygdau2px	83	13	underlying	underlying	JJ
cord-333088-ygdau2px	83	14	network	network	NN
cord-333088-ygdau2px	83	15	structure	structure	NN
cord-333088-ygdau2px	83	16	.	.	.
cord-333088-ygdau2px	84	1	Therefore	therefore	RB
cord-333088-ygdau2px	84	2	,	,	,
cord-333088-ygdau2px	84	3	holding	hold	VBG
cord-333088-ygdau2px	84	4	b	b	NN
cord-333088-ygdau2px	84	5	,	,	,
cord-333088-ygdau2px	84	6	g	g	NN
cord-333088-ygdau2px	84	7	and	and	CC
cord-333088-ygdau2px	84	8	d	d	NN
cord-333088-ygdau2px	84	9	constant	constant	NN
cord-333088-ygdau2px	84	10	while	while	IN
cord-333088-ygdau2px	84	11	varying	vary	VBG
cord-333088-ygdau2px	84	12	the	the	DT
cord-333088-ygdau2px	84	13	short	short	RB
cord-333088-ygdau2px	84	14	-	-	HYPH
cord-333088-ygdau2px	84	15	cut	cut	NN
cord-333088-ygdau2px	84	16	parameter	parameter	NN
cord-333088-ygdau2px	84	17	f	f	XX
cord-333088-ygdau2px	84	18	allows	allow	VBZ
cord-333088-ygdau2px	84	19	us	-PRON-	PRP
cord-333088-ygdau2px	84	20	to	to	TO
cord-333088-ygdau2px	84	21	explore	explore	VB
cord-333088-ygdau2px	84	22	the	the	DT
cord-333088-ygdau2px	84	23	effects	effect	NNS
cord-333088-ygdau2px	84	24	of	of	IN
cord-333088-ygdau2px	84	25	different	different	JJ
cord-333088-ygdau2px	84	26	network	network	NN
cord-333088-ygdau2px	84	27	configurations	configuration	NNS
cord-333088-ygdau2px	84	28	(	(	-LRB-
cord-333088-ygdau2px	84	29	such	such	JJ
cord-333088-ygdau2px	84	30	as	as	IN
cord-333088-ygdau2px	84	31	Fig	Fig	NNP
cord-333088-ygdau2px	84	32	.	.	.
cord-333088-ygdau2px	85	1	1A	1a	LS
cord-333088-ygdau2px	85	2	-C	-C	NNPS
cord-333088-ygdau2px	85	3	)	)	-RRB-
cord-333088-ygdau2px	86	1	on	on	IN
cord-333088-ygdau2px	86	2	the	the	DT
cord-333088-ygdau2px	86	3	epidemic	epidemic	NN
cord-333088-ygdau2px	86	4	.	.	.
cord-333088-ygdau2px	87	1	Analytical	analytical	JJ
cord-333088-ygdau2px	87	2	considerations	consideration	NNS
cord-333088-ygdau2px	87	3	One	one	CD
cord-333088-ygdau2px	87	4	way	way	NN
cord-333088-ygdau2px	87	5	to	to	TO
cord-333088-ygdau2px	87	6	analytically	analytically	RB
cord-333088-ygdau2px	87	7	treat	treat	VB
cord-333088-ygdau2px	87	8	the	the	DT
cord-333088-ygdau2px	87	9	above	above	JJ
cord-333088-ygdau2px	87	10	stochastic	stochastic	JJ
cord-333088-ygdau2px	87	11	system	system	NN
cord-333088-ygdau2px	87	12	is	be	VBZ
cord-333088-ygdau2px	87	13	by	by	IN
cord-333088-ygdau2px	87	14	using	use	VBG
cord-333088-ygdau2px	87	15	a	a	DT
cord-333088-ygdau2px	87	16	pair	pair	NN
cord-333088-ygdau2px	87	17	-	-	HYPH
cord-333088-ygdau2px	87	18	wise	wise	JJ
cord-333088-ygdau2px	87	19	formulation	formulation	NN
cord-333088-ygdau2px	87	20	(	(	-LRB-
cord-333088-ygdau2px	87	21	Keeling	Keeling	NNP
cord-333088-ygdau2px	87	22	,	,	,
cord-333088-ygdau2px	87	23	1999	1999	CD
cord-333088-ygdau2px	87	24	)	)	-RRB-
cord-333088-ygdau2px	87	25	,	,	,
cord-333088-ygdau2px	87	26	which	which	WDT
cord-333088-ygdau2px	87	27	considers	consider	VBZ
cord-333088-ygdau2px	87	28	partnerships	partnership	NNS
cord-333088-ygdau2px	87	29	as	as	IN
cord-333088-ygdau2px	87	30	the	the	DT
cord-333088-ygdau2px	87	31	fundamental	fundamental	JJ
cord-333088-ygdau2px	87	32	variables	variable	NNS
cord-333088-ygdau2px	87	33	,	,	,
cord-333088-ygdau2px	87	34	and	and	CC
cord-333088-ygdau2px	87	35	incorporates	incorporate	VBZ
cord-333088-ygdau2px	87	36	the	the	DT
cord-333088-ygdau2px	87	37	pair	pair	NN
cord-333088-ygdau2px	87	38	-	-	HYPH
cord-333088-ygdau2px	87	39	wise	wise	JJ
cord-333088-ygdau2px	87	40	connections	connection	NNS
cord-333088-ygdau2px	87	41	into	into	IN
cord-333088-ygdau2px	87	42	model	model	NN
cord-333088-ygdau2px	87	43	equations	equation	NNS
cord-333088-ygdau2px	87	44	.	.	.
cord-333088-ygdau2px	88	1	Using	use	VBG
cord-333088-ygdau2px	88	2	the	the	DT
cord-333088-ygdau2px	88	3	notations	notation	NNS
cord-333088-ygdau2px	88	4	of	of	IN
cord-333088-ygdau2px	88	5	Keeling	Keeling	NNP
cord-333088-ygdau2px	88	6	et	et	NNP
cord-333088-ygdau2px	88	7	al	al	NNP
cord-333088-ygdau2px	88	8	.	.	.
cord-333088-ygdau2px	89	1	(	(	-LRB-
cord-333088-ygdau2px	89	2	1997	1997	CD
cord-333088-ygdau2px	89	3	)	)	-RRB-
cord-333088-ygdau2px	89	4	,	,	,
cord-333088-ygdau2px	89	5	this	this	DT
cord-333088-ygdau2px	89	6	formulation	formulation	NN
cord-333088-ygdau2px	89	7	gives	give	VBZ
cord-333088-ygdau2px	89	8	the	the	DT
cord-333088-ygdau2px	89	9	following	following	JJ
cord-333088-ygdau2px	89	10	set	set	NN
cord-333088-ygdau2px	89	11	of	of	IN
cord-333088-ygdau2px	89	12	equations	equation	NNS
cord-333088-ygdau2px	89	13	for	for	IN
cord-333088-ygdau2px	89	14	the	the	DT
cord-333088-ygdau2px	89	15	dynamics	dynamic	NNS
cord-333088-ygdau2px	89	16	of	of	IN
cord-333088-ygdau2px	89	17	disease	disease	NN
cord-333088-ygdau2px	89	18	growth	growth	NN
cord-333088-ygdau2px	89	19	,	,	,
cord-333088-ygdau2px	89	20	and	and	CC
cord-333088-ygdau2px	89	21	[	[	-LRB-
cord-333088-ygdau2px	89	22	R	r	NN
cord-333088-ygdau2px	89	23	n	n	NN
cord-333088-ygdau2px	89	24	]	]	-RRB-
cord-333088-ygdau2px	89	25	denote	denote	VBP
cord-333088-ygdau2px	89	26	respectively	respectively	RB
cord-333088-ygdau2px	89	27	the	the	DT
cord-333088-ygdau2px	89	28	number	number	NN
cord-333088-ygdau2px	89	29	of	of	IN
cord-333088-ygdau2px	89	30	susceptible	susceptible	JJ
cord-333088-ygdau2px	89	31	,	,	,
cord-333088-ygdau2px	89	32	infective	infective	JJ
cord-333088-ygdau2px	89	33	and	and	CC
cord-333088-ygdau2px	89	34	recovered	recover	VBD
cord-333088-ygdau2px	89	35	individuals	individual	NNS
cord-333088-ygdau2px	89	36	each	each	DT
cord-333088-ygdau2px	89	37	with	with	IN
cord-333088-ygdau2px	89	38	exactly	exactly	RB
cord-333088-ygdau2px	89	39	n	n	CD
cord-333088-ygdau2px	89	40	connections	connection	NNS
cord-333088-ygdau2px	89	41	,	,	,
cord-333088-ygdau2px	89	42	and	and	CC
cord-333088-ygdau2px	89	43	[	[	-LRB-
cord-333088-ygdau2px	89	44	S	s	NN
cord-333088-ygdau2px	89	45	n	n	NN
cord-333088-ygdau2px	89	46	I	i	NN
cord-333088-ygdau2px	89	47	m	m	NN
cord-333088-ygdau2px	89	48	]	]	-RRB-
cord-333088-ygdau2px	89	49	denotes	denote	VBZ
cord-333088-ygdau2px	89	50	the	the	DT
cord-333088-ygdau2px	89	51	number	number	NN
cord-333088-ygdau2px	89	52	of	of	IN
cord-333088-ygdau2px	89	53	connected	connected	JJ
cord-333088-ygdau2px	89	54	susceptible	susceptible	JJ
cord-333088-ygdau2px	89	55	-	-	HYPH
cord-333088-ygdau2px	89	56	infective	infective	JJ
cord-333088-ygdau2px	89	57	pairs	pair	NNS
cord-333088-ygdau2px	89	58	with	with	IN
cord-333088-ygdau2px	89	59	n	n	NN
cord-333088-ygdau2px	89	60	and	and	CC
cord-333088-ygdau2px	89	61	m	m	CD
cord-333088-ygdau2px	89	62	connections	connection	NNS
cord-333088-ygdau2px	89	63	.	.	.
cord-333088-ygdau2px	90	1	By	by	IN
cord-333088-ygdau2px	90	2	writing	write	VBG
cord-333088-ygdau2px	90	3	P	P	NNP
cord-333088-ygdau2px	90	4	n	n	NNP
cord-333088-ygdau2px	90	5	½S	½S	NNP
cord-333088-ygdau2px	90	6	n	n	NNP
cord-333088-ygdau2px	90	7	¼	¼	NNP
cord-333088-ygdau2px	90	8	½S	½S	NNP
cord-333088-ygdau2px	90	9	¼	¼	NNP
cord-333088-ygdau2px	90	10	S	S	NNP
cord-333088-ygdau2px	90	11	,	,	,
cord-333088-ygdau2px	90	12	where	where	WRB
cord-333088-ygdau2px	90	13	S	S	NNP
cord-333088-ygdau2px	90	14	is	be	VBZ
cord-333088-ygdau2px	90	15	the	the	DT
cord-333088-ygdau2px	90	16	total	total	JJ
cord-333088-ygdau2px	90	17	number	number	NN
cord-333088-ygdau2px	90	18	of	of	IN
cord-333088-ygdau2px	90	19	susceptible	susceptible	JJ
cord-333088-ygdau2px	90	20	individuals	individual	NNS
cord-333088-ygdau2px	90	21	,	,	,
cord-333088-ygdau2px	90	22	and	and	CC
cord-333088-ygdau2px	90	23	P	p	NN
cord-333088-ygdau2px	90	24	n	n	NN
cord-333088-ygdau2px	90	25	P	p	NN
cord-333088-ygdau2px	90	26	m	m	NNP
cord-333088-ygdau2px	90	27	½S	½S	NNP
cord-333088-ygdau2px	90	28	n	n	CC
cord-333088-ygdau2px	90	29	I	i	NN
cord-333088-ygdau2px	90	30	m	m	NN
cord-333088-ygdau2px	90	31	À	à	NN
cord-333088-ygdau2px	90	32	Á	á	NN
cord-333088-ygdau2px	90	33	¼	¼	NN
cord-333088-ygdau2px	90	34	P	p	NN
cord-333088-ygdau2px	90	35	n	n	NNP
cord-333088-ygdau2px	90	36	½S	½S	NNP
cord-333088-ygdau2px	90	37	n	n	NN
cord-333088-ygdau2px	91	1	I	-PRON-	PRP
cord-333088-ygdau2px	91	2	¼	¼	CD
cord-333088-ygdau2px	92	1	½SI	½SI	NNP
cord-333088-ygdau2px	93	1	,	,	,
cord-333088-ygdau2px	93	2	where	where	WRB
cord-333088-ygdau2px	93	3	[	[	-LRB-
cord-333088-ygdau2px	93	4	SI	SI	NNP
cord-333088-ygdau2px	93	5	]	]	-RRB-
cord-333088-ygdau2px	93	6	denotes	denote	VBZ
cord-333088-ygdau2px	93	7	the	the	DT
cord-333088-ygdau2px	93	8	total	total	JJ
cord-333088-ygdau2px	93	9	number	number	NN
cord-333088-ygdau2px	93	10	of	of	IN
cord-333088-ygdau2px	93	11	connected	connected	JJ
cord-333088-ygdau2px	93	12	susceptible	susceptible	JJ
cord-333088-ygdau2px	93	13	-	-	HYPH
cord-333088-ygdau2px	93	14	infective	infective	JJ
cord-333088-ygdau2px	93	15	pairs	pair	NNS
cord-333088-ygdau2px	93	16	,	,	,
cord-333088-ygdau2px	93	17	we	-PRON-	PRP
cord-333088-ygdau2px	93	18	can	can	MD
cord-333088-ygdau2px	93	19	rewrite	rewrite	VB
cord-333088-ygdau2px	93	20	the	the	DT
cord-333088-ygdau2px	93	21	equations	equation	NNS
cord-333088-ygdau2px	93	22	for	for	IN
cord-333088-ygdau2px	93	23	the	the	DT
cord-333088-ygdau2px	93	24	number	number	NN
cord-333088-ygdau2px	93	25	of	of	IN
cord-333088-ygdau2px	93	26	susceptible	susceptible	JJ
cord-333088-ygdau2px	93	27	,	,	,
cord-333088-ygdau2px	93	28	infective	infective	JJ
cord-333088-ygdau2px	93	29	and	and	CC
cord-333088-ygdau2px	93	30	recovered	recover	VBN
cord-333088-ygdau2px	93	31	individuals	individual	NNS
cord-333088-ygdau2px	93	32	as	as	RB
cord-333088-ygdau2px	93	33	Even	even	RB
cord-333088-ygdau2px	93	34	though	though	IN
cord-333088-ygdau2px	93	35	this	this	DT
cord-333088-ygdau2px	93	36	set	set	NN
cord-333088-ygdau2px	93	37	of	of	IN
cord-333088-ygdau2px	93	38	equations	equation	NNS
cord-333088-ygdau2px	93	39	is	be	VBZ
cord-333088-ygdau2px	93	40	exact	exact	JJ
cord-333088-ygdau2px	93	41	,	,	,
cord-333088-ygdau2px	93	42	it	-PRON-	PRP
cord-333088-ygdau2px	93	43	is	be	VBZ
cord-333088-ygdau2px	93	44	not	not	RB
cord-333088-ygdau2px	93	45	closed	closed	JJ
cord-333088-ygdau2px	93	46	and	and	CC
cord-333088-ygdau2px	93	47	additional	additional	JJ
cord-333088-ygdau2px	93	48	equations	equation	NNS
cord-333088-ygdau2px	93	49	are	be	VBP
cord-333088-ygdau2px	93	50	needed	need	VBN
cord-333088-ygdau2px	93	51	to	to	TO
cord-333088-ygdau2px	93	52	specify	specify	VB
cord-333088-ygdau2px	93	53	the	the	DT
cord-333088-ygdau2px	93	54	dynamics	dynamic	NNS
cord-333088-ygdau2px	93	55	of	of	IN
cord-333088-ygdau2px	93	56	the	the	DT
cord-333088-ygdau2px	93	57	[	[	-LRB-
cord-333088-ygdau2px	93	58	SI	SI	NNP
cord-333088-ygdau2px	93	59	]	]	-RRB-
cord-333088-ygdau2px	93	60	pairs	pair	NNS
cord-333088-ygdau2px	93	61	,	,	,
cord-333088-ygdau2px	93	62	which	which	WDT
cord-333088-ygdau2px	93	63	in	in	IN
cord-333088-ygdau2px	93	64	turn	turn	NN
cord-333088-ygdau2px	93	65	depend	depend	VBP
cord-333088-ygdau2px	93	66	on	on	IN
cord-333088-ygdau2px	93	67	the	the	DT
cord-333088-ygdau2px	93	68	dynamics	dynamic	NNS
cord-333088-ygdau2px	93	69	of	of	IN
cord-333088-ygdau2px	93	70	triples	triple	NNS
cord-333088-ygdau2px	93	71	,	,	,
cord-333088-ygdau2px	93	72	etc	etc	FW
cord-333088-ygdau2px	93	73	.	.	FW
cord-333088-ygdau2px	93	74	,	,	,
cord-333088-ygdau2px	93	75	in	in	IN
cord-333088-ygdau2px	93	76	an	an	DT
cord-333088-ygdau2px	93	77	infinite	infinite	JJ
cord-333088-ygdau2px	93	78	hierarchy	hierarchy	NN
cord-333088-ygdau2px	93	79	that	that	WDT
cord-333088-ygdau2px	93	80	is	be	VBZ
cord-333088-ygdau2px	93	81	usually	usually	RB
cord-333088-ygdau2px	93	82	closed	close	VBN
cord-333088-ygdau2px	93	83	by	by	IN
cord-333088-ygdau2px	93	84	moment	moment	NN
cord-333088-ygdau2px	93	85	closure	closure	NN
cord-333088-ygdau2px	93	86	approximations	approximation	NNS
cord-333088-ygdau2px	93	87	.	.	.
cord-333088-ygdau2px	94	1	However	however	RB
cord-333088-ygdau2px	94	2	,	,	,
cord-333088-ygdau2px	94	3	a	a	DT
cord-333088-ygdau2px	94	4	satisfactory	satisfactory	JJ
cord-333088-ygdau2px	94	5	closure	closure	NN
cord-333088-ygdau2px	94	6	scheme	scheme	NN
cord-333088-ygdau2px	94	7	for	for	IN
cord-333088-ygdau2px	94	8	a	a	DT
cord-333088-ygdau2px	94	9	locally	locally	RB
cord-333088-ygdau2px	94	10	clustered	cluster	VBN
cord-333088-ygdau2px	94	11	network	network	NN
cord-333088-ygdau2px	94	12	is	be	VBZ
cord-333088-ygdau2px	94	13	still	still	RB
cord-333088-ygdau2px	94	14	lacking	lack	VBG
cord-333088-ygdau2px	94	15	(	(	-LRB-
cord-333088-ygdau2px	94	16	but	but	CC
cord-333088-ygdau2px	94	17	see	see	VB
cord-333088-ygdau2px	94	18	Keeling	Keeling	NNP
cord-333088-ygdau2px	94	19	et	et	NNP
cord-333088-ygdau2px	94	20	al	al	NNP
cord-333088-ygdau2px	94	21	.	.	NNP
cord-333088-ygdau2px	94	22	,	,	,
cord-333088-ygdau2px	94	23	1997	1997	CD
cord-333088-ygdau2px	94	24	;	;	:
cord-333088-ygdau2px	94	25	Rand	Rand	NNP
cord-333088-ygdau2px	94	26	,	,	,
cord-333088-ygdau2px	94	27	1999	1999	CD
cord-333088-ygdau2px	94	28	)	)	-RRB-
cord-333088-ygdau2px	94	29	.	.	.
cord-333088-ygdau2px	95	1	Here	here	RB
cord-333088-ygdau2px	95	2	we	-PRON-	PRP
cord-333088-ygdau2px	95	3	pursue	pursue	VBP
cord-333088-ygdau2px	95	4	a	a	DT
cord-333088-ygdau2px	95	5	different	different	JJ
cord-333088-ygdau2px	95	6	avenue	avenue	NN
cord-333088-ygdau2px	95	7	to	to	TO
cord-333088-ygdau2px	95	8	approximate	approximate	VB
cord-333088-ygdau2px	95	9	the	the	DT
cord-333088-ygdau2px	95	10	stochastic	stochastic	JJ
cord-333088-ygdau2px	95	11	system	system	NN
cord-333088-ygdau2px	95	12	with	with	IN
cord-333088-ygdau2px	95	13	modified	modify	VBN
cord-333088-ygdau2px	95	14	mean	mean	NN
cord-333088-ygdau2px	95	15	-	-	HYPH
cord-333088-ygdau2px	95	16	field	field	NN
cord-333088-ygdau2px	95	17	equations	equation	NNS
cord-333088-ygdau2px	95	18	,	,	,
cord-333088-ygdau2px	95	19	which	which	WDT
cord-333088-ygdau2px	95	20	consider	consider	VBP
cord-333088-ygdau2px	95	21	only	only	RB
cord-333088-ygdau2px	95	22	the	the	DT
cord-333088-ygdau2px	95	23	dynamics	dynamic	NNS
cord-333088-ygdau2px	95	24	of	of	IN
cord-333088-ygdau2px	95	25	mean	mean	JJ
cord-333088-ygdau2px	95	26	quantities	quantity	NNS
cord-333088-ygdau2px	95	27	but	but	CC
cord-333088-ygdau2px	95	28	replace	replace	VBP
cord-333088-ygdau2px	95	29	the	the	DT
cord-333088-ygdau2px	95	30	standard	standard	JJ
cord-333088-ygdau2px	95	31	bilinear	bilinear	JJ
cord-333088-ygdau2px	95	32	term	term	NN
cord-333088-ygdau2px	95	33	bSI	bSI	NNS
cord-333088-ygdau2px	95	34	with	with	IN
cord-333088-ygdau2px	95	35	a	a	DT
cord-333088-ygdau2px	95	36	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	95	37	transmission	transmission	NN
cord-333088-ygdau2px	95	38	rate	rate	NN
cord-333088-ygdau2px	95	39	as	as	IN
cord-333088-ygdau2px	95	40	follows	follow	VBZ
cord-333088-ygdau2px	95	41	,	,	,
cord-333088-ygdau2px	95	42	where	where	WRB
cord-333088-ygdau2px	95	43	k	k	NNP
cord-333088-ygdau2px	95	44	,	,	,
cord-333088-ygdau2px	95	45	p	p	NNP
cord-333088-ygdau2px	95	46	,	,	,
cord-333088-ygdau2px	95	47	q	q	NNP
cord-333088-ygdau2px	95	48	are	be	VBP
cord-333088-ygdau2px	95	49	the	the	DT
cord-333088-ygdau2px	95	50	'	'	``
cord-333088-ygdau2px	95	51	'	'	``
cord-333088-ygdau2px	95	52	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	95	53	'	'	''
cord-333088-ygdau2px	95	54	'	'	''
cord-333088-ygdau2px	95	55	parameters	parameter	NNS
cord-333088-ygdau2px	95	56	(	(	-LRB-
cord-333088-ygdau2px	95	57	Severo	Severo	NNP
cord-333088-ygdau2px	95	58	,	,	,
cord-333088-ygdau2px	95	59	1969	1969	CD
cord-333088-ygdau2px	95	60	;	;	:
cord-333088-ygdau2px	95	61	Liu	Liu	NNP
cord-333088-ygdau2px	95	62	et	et	NNP
cord-333088-ygdau2px	95	63	al	al	NNP
cord-333088-ygdau2px	95	64	.	.	NNP
cord-333088-ygdau2px	95	65	,	,	,
cord-333088-ygdau2px	95	66	1986	1986	CD
cord-333088-ygdau2px	95	67	;	;	:
cord-333088-ygdau2px	95	68	Hethcote	Hethcote	NNP
cord-333088-ygdau2px	95	69	and	and	CC
cord-333088-ygdau2px	95	70	van	van	NNP
cord-333088-ygdau2px	95	71	den	den	NNP
cord-333088-ygdau2px	95	72	Driessche	Driessche	NNP
cord-333088-ygdau2px	95	73	,	,	,
cord-333088-ygdau2px	95	74	1991	1991	CD
cord-333088-ygdau2px	95	75	;	;	:
cord-333088-ygdau2px	95	76	Hochberg	Hochberg	NNP
cord-333088-ygdau2px	95	77	,	,	,
cord-333088-ygdau2px	95	78	1991	1991	CD
cord-333088-ygdau2px	95	79	)	)	-RRB-
cord-333088-ygdau2px	95	80	.	.	.
cord-333088-ygdau2px	96	1	We	-PRON-	PRP
cord-333088-ygdau2px	96	2	call	call	VBP
cord-333088-ygdau2px	96	3	Eq	Eq	NNP
cord-333088-ygdau2px	96	4	.	.	.
cord-333088-ygdau2px	97	1	(	(	-LRB-
cord-333088-ygdau2px	97	2	2	2	LS
cord-333088-ygdau2px	97	3	)	)	-RRB-
cord-333088-ygdau2px	97	4	the	the	DT
cord-333088-ygdau2px	97	5	'	'	''
cord-333088-ygdau2px	97	6	'	'	``
cord-333088-ygdau2px	97	7	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	97	8	mixing	mixing	NN
cord-333088-ygdau2px	97	9	'	'	''
cord-333088-ygdau2px	97	10	'	'	''
cord-333088-ygdau2px	97	11	(	(	-LRB-
cord-333088-ygdau2px	97	12	HM	HM	NNP
cord-333088-ygdau2px	97	13	)	)	-RRB-
cord-333088-ygdau2px	97	14	model	model	NN
cord-333088-ygdau2px	97	15	(	(	-LRB-
cord-333088-ygdau2px	97	16	Maule	Maule	NNP
cord-333088-ygdau2px	97	17	and	and	CC
cord-333088-ygdau2px	97	18	Filipe	Filipe	NNP
cord-333088-ygdau2px	97	19	,	,	,
cord-333088-ygdau2px	97	20	in	in	IN
cord-333088-ygdau2px	97	21	preparation	preparation	NN
cord-333088-ygdau2px	97	22	)	)	-RRB-
cord-333088-ygdau2px	97	23	.	.	.
cord-333088-ygdau2px	98	1	We	-PRON-	PRP
cord-333088-ygdau2px	98	2	note	note	VBP
cord-333088-ygdau2px	98	3	from	from	IN
cord-333088-ygdau2px	98	4	Eq	Eq	NNP
cord-333088-ygdau2px	98	5	.	.	.
cord-333088-ygdau2px	99	1	(	(	-LRB-
cord-333088-ygdau2px	99	2	1	1	LS
cord-333088-ygdau2px	99	3	)	)	-RRB-
cord-333088-ygdau2px	99	4	that	that	IN
cord-333088-ygdau2px	99	5	the	the	DT
cord-333088-ygdau2px	99	6	incidence	incidence	NN
cord-333088-ygdau2px	99	7	rate	rate	NN
cord-333088-ygdau2px	99	8	of	of	IN
cord-333088-ygdau2px	99	9	the	the	DT
cord-333088-ygdau2px	99	10	epidemic	epidemic	NN
cord-333088-ygdau2px	99	11	can	can	MD
cord-333088-ygdau2px	99	12	be	be	VB
cord-333088-ygdau2px	99	13	estimated	estimate	VBN
cord-333088-ygdau2px	99	14	by	by	IN
cord-333088-ygdau2px	99	15	counting	count	VBG
cord-333088-ygdau2px	99	16	the	the	DT
cord-333088-ygdau2px	99	17	number	number	NN
cord-333088-ygdau2px	99	18	of	of	IN
cord-333088-ygdau2px	99	19	connected	connected	JJ
cord-333088-ygdau2px	99	20	susceptible	susceptible	JJ
cord-333088-ygdau2px	99	21	-	-	HYPH
cord-333088-ygdau2px	99	22	infective	infective	JJ
cord-333088-ygdau2px	99	23	pairs	pair	NNS
cord-333088-ygdau2px	99	24	[	[	-LRB-
cord-333088-ygdau2px	99	25	SI	SI	NNP
cord-333088-ygdau2px	99	26	]	]	-RRB-
cord-333088-ygdau2px	99	27	in	in	IN
cord-333088-ygdau2px	99	28	the	the	DT
cord-333088-ygdau2px	99	29	network	network	NN
cord-333088-ygdau2px	99	30	.	.	.
cord-333088-ygdau2px	100	1	Furthermore	furthermore	RB
cord-333088-ygdau2px	100	2	,	,	,
cord-333088-ygdau2px	100	3	[	[	-LRB-
cord-333088-ygdau2px	100	4	SI	SI	NNP
cord-333088-ygdau2px	100	5	]	]	-RRB-
cord-333088-ygdau2px	100	6	is	be	VBZ
cord-333088-ygdau2px	100	7	directly	directly	RB
cord-333088-ygdau2px	100	8	related	relate	VBN
cord-333088-ygdau2px	100	9	to	to	IN
cord-333088-ygdau2px	100	10	the	the	DT
cord-333088-ygdau2px	100	11	correlation	correlation	NN
cord-333088-ygdau2px	100	12	C	c	NN
cord-333088-ygdau2px	100	13	SI	SI	NNP
cord-333088-ygdau2px	100	14	that	that	WDT
cord-333088-ygdau2px	100	15	arises	arise	VBZ
cord-333088-ygdau2px	100	16	between	between	IN
cord-333088-ygdau2px	100	17	susceptible	susceptible	JJ
cord-333088-ygdau2px	100	18	and	and	CC
cord-333088-ygdau2px	100	19	infective	infective	JJ
cord-333088-ygdau2px	100	20	individuals	individual	NNS
cord-333088-ygdau2px	100	21	in	in	IN
cord-333088-ygdau2px	100	22	the	the	DT
cord-333088-ygdau2px	100	23	network	network	NN
cord-333088-ygdau2px	100	24	(	(	-LRB-
cord-333088-ygdau2px	100	25	Keeling	Keeling	NNP
cord-333088-ygdau2px	100	26	,	,	,
cord-333088-ygdau2px	100	27	1999	1999	CD
cord-333088-ygdau2px	100	28	)	)	-RRB-
cord-333088-ygdau2px	100	29	.	.	.
cord-333088-ygdau2px	101	1	Therefore	therefore	RB
cord-333088-ygdau2px	101	2	,	,	,
cord-333088-ygdau2px	101	3	comparing	compare	VBG
cord-333088-ygdau2px	101	4	Eqs	Eqs	NNP
cord-333088-ygdau2px	101	5	.	.	.
cord-333088-ygdau2px	102	1	(	(	-LRB-
cord-333088-ygdau2px	102	2	2	2	LS
cord-333088-ygdau2px	102	3	)	)	-RRB-
cord-333088-ygdau2px	102	4	with	with	IN
cord-333088-ygdau2px	102	5	(	(	-LRB-
cord-333088-ygdau2px	102	6	1	1	LS
cord-333088-ygdau2px	102	7	)	)	-RRB-
cord-333088-ygdau2px	102	8	we	-PRON-	PRP
cord-333088-ygdau2px	102	9	see	see	VBP
cord-333088-ygdau2px	102	10	that	that	IN
cord-333088-ygdau2px	102	11	the	the	DT
cord-333088-ygdau2px	102	12	HM	HM	NNP
cord-333088-ygdau2px	102	13	model	model	NN
cord-333088-ygdau2px	102	14	implicitly	implicitly	RB
cord-333088-ygdau2px	102	15	assumes	assume	VBZ
cord-333088-ygdau2px	102	16	a	a	DT
cord-333088-ygdau2px	102	17	double	double	JJ
cord-333088-ygdau2px	102	18	power	power	NN
cord-333088-ygdau2px	102	19	-	-	HYPH
cord-333088-ygdau2px	102	20	law	law	NN
cord-333088-ygdau2px	102	21	relationship	relationship	NN
cord-333088-ygdau2px	102	22	between	between	IN
cord-333088-ygdau2px	102	23	this	this	DT
cord-333088-ygdau2px	102	24	covariance	covariance	NN
cord-333088-ygdau2px	102	25	structure	structure	NN
cord-333088-ygdau2px	102	26	and	and	CC
cord-333088-ygdau2px	102	27	the	the	DT
cord-333088-ygdau2px	102	28	abundances	abundance	NNS
cord-333088-ygdau2px	102	29	of	of	IN
cord-333088-ygdau2px	102	30	infective	infective	JJ
cord-333088-ygdau2px	102	31	and	and	CC
cord-333088-ygdau2px	102	32	susceptible	susceptible	JJ
cord-333088-ygdau2px	102	33	individuals	individual	NNS
cord-333088-ygdau2px	102	34	.	.	.
cord-333088-ygdau2px	103	1	For	for	IN
cord-333088-ygdau2px	103	2	instance	instance	NN
cord-333088-ygdau2px	103	3	,	,	,
cord-333088-ygdau2px	103	4	in	in	IN
cord-333088-ygdau2px	103	5	a	a	DT
cord-333088-ygdau2px	103	6	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	103	7	network	network	NN
cord-333088-ygdau2px	103	8	(	(	-LRB-
cord-333088-ygdau2px	103	9	such	such	JJ
cord-333088-ygdau2px	103	10	as	as	IN
cord-333088-ygdau2px	103	11	a	a	DT
cord-333088-ygdau2px	103	12	regular	regular	JJ
cord-333088-ygdau2px	103	13	grid	grid	NN
cord-333088-ygdau2px	103	14	)	)	-RRB-
cord-333088-ygdau2px	103	15	with	with	IN
cord-333088-ygdau2px	103	16	identical	identical	JJ
cord-333088-ygdau2px	103	17	number	number	NN
cord-333088-ygdau2px	103	18	of	of	IN
cord-333088-ygdau2px	103	19	connections	connection	NNS
cord-333088-ygdau2px	103	20	n	n	CC
cord-333088-ygdau2px	103	21	0	0	CD
cord-333088-ygdau2px	103	22	for	for	IN
cord-333088-ygdau2px	103	23	all	all	DT
cord-333088-ygdau2px	103	24	individuals	individual	NNS
cord-333088-ygdau2px	103	25	,	,	,
cord-333088-ygdau2px	103	26	we	-PRON-	PRP
cord-333088-ygdau2px	103	27	have	have	VBP
cord-333088-ygdau2px	103	28	where	where	WRB
cord-333088-ygdau2px	103	29	N	n	NN
cord-333088-ygdau2px	103	30	=	=	NN
cord-333088-ygdau2px	103	31	S	s	NN
cord-333088-ygdau2px	104	1	+	+	CC
cord-333088-ygdau2px	105	1	I	-PRON-	PRP
cord-333088-ygdau2px	105	2	+	+	CC
cord-333088-ygdau2px	105	3	R	r	NN
cord-333088-ygdau2px	105	4	is	be	VBZ
cord-333088-ygdau2px	105	5	the	the	DT
cord-333088-ygdau2px	105	6	population	population	NN
cord-333088-ygdau2px	105	7	size	size	NN
cord-333088-ygdau2px	105	8	(	(	-LRB-
cord-333088-ygdau2px	105	9	Keeling	Keeling	NNP
cord-333088-ygdau2px	105	10	,	,	,
cord-333088-ygdau2px	105	11	1999	1999	CD
cord-333088-ygdau2px	105	12	)	)	-RRB-
cord-333088-ygdau2px	105	13	.	.	.
cord-333088-ygdau2px	106	1	Relationships	relationship	NNS
cord-333088-ygdau2px	106	2	such	such	JJ
cord-333088-ygdau2px	106	3	as	as	IN
cord-333088-ygdau2px	106	4	Eq	Eq	NNP
cord-333088-ygdau2px	106	5	.	.	.
cord-333088-ygdau2px	107	1	(	(	-LRB-
cord-333088-ygdau2px	107	2	3	3	LS
cord-333088-ygdau2px	107	3	)	)	-RRB-
cord-333088-ygdau2px	107	4	provide	provide	VB
cord-333088-ygdau2px	107	5	an	an	DT
cord-333088-ygdau2px	107	6	important	important	JJ
cord-333088-ygdau2px	107	7	first	first	JJ
cord-333088-ygdau2px	107	8	step	step	NN
cord-333088-ygdau2px	107	9	towards	towards	IN
cord-333088-ygdau2px	107	10	understanding	understand	VBG
cord-333088-ygdau2px	107	11	how	how	WRB
cord-333088-ygdau2px	107	12	the	the	DT
cord-333088-ygdau2px	107	13	phenomenological	phenomenological	JJ
cord-333088-ygdau2px	107	14	parameters	parameter	NNS
cord-333088-ygdau2px	107	15	k	k	NN
cord-333088-ygdau2px	107	16	,	,	,
cord-333088-ygdau2px	107	17	p	p	NNP
cord-333088-ygdau2px	107	18	and	and	CC
cord-333088-ygdau2px	107	19	q	q	NNP
cord-333088-ygdau2px	107	20	are	be	VBP
cord-333088-ygdau2px	107	21	related	relate	VBN
cord-333088-ygdau2px	107	22	to	to	IN
cord-333088-ygdau2px	107	23	network	network	NN
cord-333088-ygdau2px	107	24	structure	structure	NN
cord-333088-ygdau2px	107	25	.	.	.
cord-333088-ygdau2px	108	1	For	for	IN
cord-333088-ygdau2px	108	2	a	a	DT
cord-333088-ygdau2px	108	3	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	108	4	random	random	JJ
cord-333088-ygdau2px	108	5	network	network	NN
cord-333088-ygdau2px	108	6	in	in	IN
cord-333088-ygdau2px	108	7	which	which	WDT
cord-333088-ygdau2px	108	8	every	every	DT
cord-333088-ygdau2px	108	9	individual	individual	NN
cord-333088-ygdau2px	108	10	is	be	VBZ
cord-333088-ygdau2px	108	11	connected	connect	VBN
cord-333088-ygdau2px	108	12	to	to	IN
cord-333088-ygdau2px	108	13	exactly	exactly	RB
cord-333088-ygdau2px	108	14	n	n	NN
cord-333088-ygdau2px	108	15	0	0	CD
cord-333088-ygdau2px	108	16	randomly	randomly	RB
cord-333088-ygdau2px	108	17	distributed	distribute	VBN
cord-333088-ygdau2px	108	18	others	other	NNS
cord-333088-ygdau2px	108	19	(	(	-LRB-
cord-333088-ygdau2px	108	20	see	see	VB
cord-333088-ygdau2px	108	21	Appendix	Appendix	NNP
cord-333088-ygdau2px	108	22	A	A	NNP
cord-333088-ygdau2px	108	23	)	)	-RRB-
cord-333088-ygdau2px	108	24	,	,	,
cord-333088-ygdau2px	108	25	the	the	DT
cord-333088-ygdau2px	108	26	susceptible	susceptible	JJ
cord-333088-ygdau2px	108	27	and	and	CC
cord-333088-ygdau2px	108	28	infective	infective	JJ
cord-333088-ygdau2px	108	29	individuals	individual	NNS
cord-333088-ygdau2px	108	30	are	be	VBP
cord-333088-ygdau2px	108	31	uncorrelated	uncorrelated	JJ
cord-333088-ygdau2px	108	32	and	and	CC
cord-333088-ygdau2px	108	33	the	the	DT
cord-333088-ygdau2px	108	34	total	total	JJ
cord-333088-ygdau2px	108	35	number	number	NN
cord-333088-ygdau2px	108	36	of	of	IN
cord-333088-ygdau2px	108	37	interacting	interact	VBG
cord-333088-ygdau2px	108	38	pairs	pair	NNS
cord-333088-ygdau2px	108	39	[	[	-LRB-
cord-333088-ygdau2px	108	40	SI	si	NN
cord-333088-ygdau2px	108	41	]	]	-RRB-
cord-333088-ygdau2px	108	42	=	=	NFP
cord-333088-ygdau2px	109	1	(	(	-LRB-
cord-333088-ygdau2px	109	2	n	n	NN
cord-333088-ygdau2px	109	3	0	0	CD
cord-333088-ygdau2px	109	4	/N)SI	/N)SI	.
cord-333088-ygdau2px	109	5	.	.	.
cord-333088-ygdau2px	110	1	Eq	Eq	NNP
cord-333088-ygdau2px	110	2	.	.	.
cord-333088-ygdau2px	111	1	(	(	-LRB-
cord-333088-ygdau2px	111	2	1	1	LS
cord-333088-ygdau2px	111	3	)	)	-RRB-
cord-333088-ygdau2px	111	4	then	then	RB
cord-333088-ygdau2px	111	5	reduce	reduce	VB
cord-333088-ygdau2px	111	6	to	to	IN
cord-333088-ygdau2px	111	7	These	these	DT
cord-333088-ygdau2px	111	8	equations	equation	NNS
cord-333088-ygdau2px	111	9	incorporate	incorporate	VBP
cord-333088-ygdau2px	111	10	the	the	DT
cord-333088-ygdau2px	111	11	familiar	familiar	JJ
cord-333088-ygdau2px	111	12	bilinear	bilinear	JJ
cord-333088-ygdau2px	111	13	term	term	NN
cord-333088-ygdau2px	111	14	SI	SI	NNP
cord-333088-ygdau2px	111	15	for	for	IN
cord-333088-ygdau2px	111	16	the	the	DT
cord-333088-ygdau2px	111	17	incidence	incidence	NN
cord-333088-ygdau2px	111	18	rate	rate	NN
cord-333088-ygdau2px	111	19	,	,	,
cord-333088-ygdau2px	111	20	and	and	CC
cord-333088-ygdau2px	111	21	provide	provide	VB
cord-333088-ygdau2px	111	22	a	a	DT
cord-333088-ygdau2px	111	23	mean	mean	JJ
cord-333088-ygdau2px	111	24	-	-	HYPH
cord-333088-ygdau2px	111	25	field	field	NN
cord-333088-ygdau2px	111	26	approximation	approximation	NN
cord-333088-ygdau2px	111	27	for	for	IN
cord-333088-ygdau2px	111	28	the	the	DT
cord-333088-ygdau2px	111	29	stochastic	stochastic	JJ
cord-333088-ygdau2px	111	30	system	system	NN
cord-333088-ygdau2px	111	31	in	in	IN
cord-333088-ygdau2px	111	32	which	which	WDT
cord-333088-ygdau2px	111	33	each	each	DT
cord-333088-ygdau2px	111	34	individual	individual	NN
cord-333088-ygdau2px	111	35	randomly	randomly	RB
cord-333088-ygdau2px	111	36	mixes	mix	VBZ
cord-333088-ygdau2px	111	37	with	with	IN
cord-333088-ygdau2px	111	38	n	n	NN
cord-333088-ygdau2px	111	39	0	0	CD
cord-333088-ygdau2px	111	40	others	other	NNS
cord-333088-ygdau2px	111	41	.	.	.
cord-333088-ygdau2px	112	1	Note	note	VB
cord-333088-ygdau2px	112	2	that	that	IN
cord-333088-ygdau2px	112	3	the	the	DT
cord-333088-ygdau2px	112	4	transmission	transmission	NN
cord-333088-ygdau2px	112	5	coefficient	coefficient	NN
cord-333088-ygdau2px	112	6	b	b	NN
cord-333088-ygdau2px	112	7	is	be	VBZ
cord-333088-ygdau2px	112	8	proportionately	proportionately	RB
cord-333088-ygdau2px	112	9	reduced	reduce	VBN
cord-333088-ygdau2px	112	10	by	by	IN
cord-333088-ygdau2px	112	11	a	a	DT
cord-333088-ygdau2px	112	12	factor	factor	NN
cord-333088-ygdau2px	112	13	n	n	NN
cord-333088-ygdau2px	112	14	0	0	NNP
cord-333088-ygdau2px	112	15	/N	/N	NNP
cord-333088-ygdau2px	112	16	,	,	,
cord-333088-ygdau2px	112	17	which	which	WDT
cord-333088-ygdau2px	112	18	is	be	VBZ
cord-333088-ygdau2px	112	19	the	the	DT
cord-333088-ygdau2px	112	20	fraction	fraction	NN
cord-333088-ygdau2px	112	21	of	of	IN
cord-333088-ygdau2px	112	22	the	the	DT
cord-333088-ygdau2px	112	23	population	population	NN
cord-333088-ygdau2px	112	24	in	in	IN
cord-333088-ygdau2px	112	25	a	a	DT
cord-333088-ygdau2px	112	26	contact	contact	NN
cord-333088-ygdau2px	112	27	neighborhood	neighborhood	NN
cord-333088-ygdau2px	112	28	of	of	IN
cord-333088-ygdau2px	112	29	each	each	DT
cord-333088-ygdau2px	112	30	individual	individual	NN
cord-333088-ygdau2px	112	31	.	.	.
cord-333088-ygdau2px	113	1	In	in	IN
cord-333088-ygdau2px	113	2	a	a	DT
cord-333088-ygdau2px	113	3	completely	completely	RB
cord-333088-ygdau2px	113	4	well	well	RB
cord-333088-ygdau2px	113	5	-	-	HYPH
cord-333088-ygdau2px	113	6	mixed	mix	VBN
cord-333088-ygdau2px	113	7	population	population	NN
cord-333088-ygdau2px	113	8	,	,	,
cord-333088-ygdau2px	113	9	n	n	NN
cord-333088-ygdau2px	113	10	0	0	CD
cord-333088-ygdau2px	113	11	=	=	SYM
cord-333088-ygdau2px	113	12	N	n	CD
cord-333088-ygdau2px	113	13	,	,	,
cord-333088-ygdau2px	113	14	and	and	CC
cord-333088-ygdau2px	113	15	these	these	DT
cord-333088-ygdau2px	113	16	equations	equation	NNS
cord-333088-ygdau2px	113	17	reduce	reduce	VBP
cord-333088-ygdau2px	113	18	to	to	IN
cord-333088-ygdau2px	113	19	the	the	DT
cord-333088-ygdau2px	113	20	standard	standard	JJ
cord-333088-ygdau2px	113	21	Kermack	Kermack	NNP
cord-333088-ygdau2px	113	22	-	-	HYPH
cord-333088-ygdau2px	113	23	McKendrick	McKendrick	NNP
cord-333088-ygdau2px	113	24	form	form	NN
cord-333088-ygdau2px	113	25	(	(	-LRB-
cord-333088-ygdau2px	113	26	Kermack	Kermack	NNP
cord-333088-ygdau2px	113	27	and	and	CC
cord-333088-ygdau2px	113	28	McKendrick	McKendrick	NNP
cord-333088-ygdau2px	113	29	,	,	,
cord-333088-ygdau2px	113	30	1927	1927	CD
cord-333088-ygdau2px	113	31	)	)	-RRB-
cord-333088-ygdau2px	113	32	.	.	.
cord-333088-ygdau2px	114	1	Eq	Eq	NNP
cord-333088-ygdau2px	114	2	.	.	.
cord-333088-ygdau2px	115	1	(	(	-LRB-
cord-333088-ygdau2px	115	2	4	4	LS
cord-333088-ygdau2px	115	3	)	)	-RRB-
cord-333088-ygdau2px	115	4	exhibit	exhibit	VB
cord-333088-ygdau2px	115	5	either	either	CC
cord-333088-ygdau2px	115	6	a	a	DT
cord-333088-ygdau2px	115	7	disease	disease	NN
cord-333088-ygdau2px	115	8	-	-	HYPH
cord-333088-ygdau2px	115	9	free	free	JJ
cord-333088-ygdau2px	115	10	equilibrium	equilibrium	NN
cord-333088-ygdau2px	115	11	,	,	,
cord-333088-ygdau2px	115	12	I(t	I(t	NNP
cord-333088-ygdau2px	115	13	)	)	-RRB-
cord-333088-ygdau2px	115	14	=	=	SYM
cord-333088-ygdau2px	115	15	0	0	CD
cord-333088-ygdau2px	115	16	,	,	,
cord-333088-ygdau2px	115	17	or	or	CC
cord-333088-ygdau2px	115	18	an	an	DT
cord-333088-ygdau2px	115	19	endemic	endemic	JJ
cord-333088-ygdau2px	115	20	equilibrium	equilibrium	NN
cord-333088-ygdau2px	115	21	,	,	,
cord-333088-ygdau2px	115	22	I(t	I(t	NNP
cord-333088-ygdau2px	115	23	)	)	-RRB-
cord-333088-ygdau2px	115	24	=	=	NFP
cord-333088-ygdau2px	116	1	[	[	-LRB-
cord-333088-ygdau2px	116	2	dN/(g	dn/(g	NN
cord-333088-ygdau2px	116	3	+	+	.
cord-333088-ygdau2px	117	1	d)][1	d)][1	NNP
cord-333088-ygdau2px	117	2	À	à	NN
cord-333088-ygdau2px	117	3	g	g	NN
cord-333088-ygdau2px	117	4	/	/	SYM
cord-333088-ygdau2px	117	5	bn	bn	NN
cord-333088-ygdau2px	117	6	0	0	CD
cord-333088-ygdau2px	117	7	]	]	-RRB-
cord-333088-ygdau2px	117	8	,	,	.
cord-333088-ygdau2px	118	1	depending	depend	VBG
cord-333088-ygdau2px	118	2	on	on	IN
cord-333088-ygdau2px	118	3	whether	whether	IN
cord-333088-ygdau2px	118	4	the	the	DT
cord-333088-ygdau2px	118	5	basic	basic	JJ
cord-333088-ygdau2px	118	6	reproductive	reproductive	JJ
cord-333088-ygdau2px	118	7	ratio	ratio	NN
cord-333088-ygdau2px	118	8	R	r	NN
cord-333088-ygdau2px	118	9	0	0	CD
cord-333088-ygdau2px	118	10	=	=	SYM
cord-333088-ygdau2px	118	11	n	n	NN
cord-333088-ygdau2px	118	12	0	0	CD
cord-333088-ygdau2px	118	13	b	b	NN
cord-333088-ygdau2px	118	14	/	/	SYM
cord-333088-ygdau2px	118	15	g	g	NN
cord-333088-ygdau2px	118	16	is	be	VBZ
cord-333088-ygdau2px	118	17	less	less	RBR
cord-333088-ygdau2px	118	18	or	or	CC
cord-333088-ygdau2px	118	19	greater	great	JJR
cord-333088-ygdau2px	118	20	than	than	IN
cord-333088-ygdau2px	118	21	unity	unity	NN
cord-333088-ygdau2px	118	22	.	.	.
cord-333088-ygdau2px	119	1	It	-PRON-	PRP
cord-333088-ygdau2px	119	2	is	be	VBZ
cord-333088-ygdau2px	119	3	to	to	TO
cord-333088-ygdau2px	119	4	be	be	VB
cord-333088-ygdau2px	119	5	noted	note	VBN
cord-333088-ygdau2px	119	6	that	that	IN
cord-333088-ygdau2px	119	7	while	while	IN
cord-333088-ygdau2px	119	8	Eq	Eq	NNP
cord-333088-ygdau2px	119	9	.	.	.
cord-333088-ygdau2px	120	1	(	(	-LRB-
cord-333088-ygdau2px	120	2	4	4	LS
cord-333088-ygdau2px	120	3	)	)	-RRB-
cord-333088-ygdau2px	120	4	describe	describe	VB
cord-333088-ygdau2px	120	5	a	a	DT
cord-333088-ygdau2px	120	6	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	120	7	random	random	JJ
cord-333088-ygdau2px	120	8	network	network	NN
cord-333088-ygdau2px	120	9	exactly	exactly	RB
cord-333088-ygdau2px	120	10	,	,	,
cord-333088-ygdau2px	120	11	it	-PRON-	PRP
cord-333088-ygdau2px	120	12	provides	provide	VBZ
cord-333088-ygdau2px	120	13	only	only	RB
cord-333088-ygdau2px	120	14	an	an	DT
cord-333088-ygdau2px	120	15	approximation	approximation	NN
cord-333088-ygdau2px	120	16	for	for	IN
cord-333088-ygdau2px	120	17	the	the	DT
cord-333088-ygdau2px	120	18	random	random	JJ
cord-333088-ygdau2px	120	19	network	network	NN
cord-333088-ygdau2px	120	20	with	with	IN
cord-333088-ygdau2px	120	21	f	f	NNP
cord-333088-ygdau2px	120	22	=	=	SYM
cord-333088-ygdau2px	120	23	1	1	CD
cord-333088-ygdau2px	120	24	,	,	,
cord-333088-ygdau2px	120	25	in	in	IN
cord-333088-ygdau2px	120	26	which	which	WDT
cord-333088-ygdau2px	120	27	individuals	individual	NNS
cord-333088-ygdau2px	120	28	have	have	VBP
cord-333088-ygdau2px	120	29	a	a	DT
cord-333088-ygdau2px	120	30	binomially	binomially	RB
cord-333088-ygdau2px	120	31	distributed	distribute	VBN
cord-333088-ygdau2px	120	32	number	number	NN
cord-333088-ygdau2px	120	33	of	of	IN
cord-333088-ygdau2px	120	34	connections	connection	NNS
cord-333088-ygdau2px	120	35	around	around	IN
cord-333088-ygdau2px	120	36	a	a	DT
cord-333088-ygdau2px	120	37	mean	mean	JJ
cord-333088-ygdau2px	120	38	n	n	CC
cord-333088-ygdau2px	120	39	0	0	CD
cord-333088-ygdau2px	120	40	(	(	-LRB-
cord-333088-ygdau2px	120	41	Appendix	Appendix	NNP
cord-333088-ygdau2px	120	42	A	A	NNP
cord-333088-ygdau2px	120	43	)	)	-RRB-
cord-333088-ygdau2px	120	44	.	.	.
cord-333088-ygdau2px	121	1	Details	detail	NNS
cord-333088-ygdau2px	121	2	of	of	IN
cord-333088-ygdau2px	121	3	the	the	DT
cord-333088-ygdau2px	121	4	implementation	implementation	NN
cord-333088-ygdau2px	121	5	of	of	IN
cord-333088-ygdau2px	121	6	the	the	DT
cord-333088-ygdau2px	121	7	stochastic	stochastic	JJ
cord-333088-ygdau2px	121	8	system	system	NN
cord-333088-ygdau2px	121	9	are	be	VBP
cord-333088-ygdau2px	121	10	described	describe	VBN
cord-333088-ygdau2px	121	11	in	in	IN
cord-333088-ygdau2px	121	12	Appendix	Appendix	NNP
cord-333088-ygdau2px	121	13	B.	B.	NNP
cord-333088-ygdau2px	121	14	One	One	NNP
cord-333088-ygdau2px	121	15	practical	practical	JJ
cord-333088-ygdau2px	121	16	approach	approach	NN
cord-333088-ygdau2px	121	17	to	to	TO
cord-333088-ygdau2px	121	18	estimate	estimate	VB
cord-333088-ygdau2px	121	19	the	the	DT
cord-333088-ygdau2px	121	20	parameters	parameter	NNS
cord-333088-ygdau2px	121	21	k	k	NNP
cord-333088-ygdau2px	121	22	,	,	,
cord-333088-ygdau2px	121	23	p	p	NNP
cord-333088-ygdau2px	121	24	and	and	CC
cord-333088-ygdau2px	121	25	q	q	NN
cord-333088-ygdau2px	121	26	of	of	IN
cord-333088-ygdau2px	121	27	the	the	DT
cord-333088-ygdau2px	121	28	HM	HM	NNP
cord-333088-ygdau2px	121	29	model	model	NN
cord-333088-ygdau2px	121	30	,	,	,
cord-333088-ygdau2px	121	31	when	when	WRB
cord-333088-ygdau2px	121	32	the	the	DT
cord-333088-ygdau2px	121	33	individual	individual	JJ
cord-333088-ygdau2px	121	34	-	-	HYPH
cord-333088-ygdau2px	121	35	level	level	NN
cord-333088-ygdau2px	121	36	processes	process	NNS
cord-333088-ygdau2px	121	37	are	be	VBP
cord-333088-ygdau2px	121	38	unknown	unknown	JJ
cord-333088-ygdau2px	121	39	,	,	,
cord-333088-ygdau2px	121	40	would	would	MD
cord-333088-ygdau2px	121	41	be	be	VB
cord-333088-ygdau2px	121	42	to	to	TO
cord-333088-ygdau2px	121	43	fit	fit	VB
cord-333088-ygdau2px	121	44	these	these	DT
cord-333088-ygdau2px	121	45	parameters	parameter	NNS
cord-333088-ygdau2px	121	46	using	use	VBG
cord-333088-ygdau2px	121	47	time	time	NN
cord-333088-ygdau2px	121	48	series	series	NNP
cord-333088-ygdau2px	121	49	data	datum	NNS
cord-333088-ygdau2px	121	50	(	(	-LRB-
cord-333088-ygdau2px	121	51	Gubbins	Gubbins	NNP
cord-333088-ygdau2px	121	52	and	and	CC
cord-333088-ygdau2px	121	53	Gilligan	Gilligan	NNP
cord-333088-ygdau2px	121	54	,	,	,
cord-333088-ygdau2px	121	55	1997	1997	CD
cord-333088-ygdau2px	121	56	;	;	:
cord-333088-ygdau2px	121	57	Bjørnstad	Bjørnstad	NNP
cord-333088-ygdau2px	121	58	et	et	NNP
cord-333088-ygdau2px	121	59	al	al	NNP
cord-333088-ygdau2px	121	60	.	.	NNP
cord-333088-ygdau2px	121	61	,	,	,
cord-333088-ygdau2px	121	62	2002	2002	CD
cord-333088-ygdau2px	121	63	;	;	:
cord-333088-ygdau2px	122	1	Finkenstä	Finkenstä	NNP
cord-333088-ygdau2px	122	2	dt	dt	NNP
cord-333088-ygdau2px	122	3	et	et	FW
cord-333088-ygdau2px	122	4	al	al	NNP
cord-333088-ygdau2px	122	5	.	.	NNP
cord-333088-ygdau2px	122	6	,	,	,
cord-333088-ygdau2px	122	7	2002	2002	CD
cord-333088-ygdau2px	122	8	)	)	-RRB-
cord-333088-ygdau2px	122	9	.	.	.
cord-333088-ygdau2px	123	1	Indeed	indeed	RB
cord-333088-ygdau2px	123	2	,	,	,
cord-333088-ygdau2px	123	3	with	with	IN
cord-333088-ygdau2px	123	4	a	a	DT
cord-333088-ygdau2px	123	5	sufficient	sufficient	JJ
cord-333088-ygdau2px	123	6	number	number	NN
cord-333088-ygdau2px	123	7	of	of	IN
cord-333088-ygdau2px	123	8	parameters	parameter	NNS
cord-333088-ygdau2px	123	9	a	a	DT
cord-333088-ygdau2px	123	10	satisfactory	satisfactory	JJ
cord-333088-ygdau2px	123	11	agreement	agreement	NN
cord-333088-ygdau2px	123	12	between	between	IN
cord-333088-ygdau2px	123	13	the	the	DT
cord-333088-ygdau2px	123	14	model	model	NN
cord-333088-ygdau2px	123	15	and	and	CC
cord-333088-ygdau2px	123	16	the	the	DT
cord-333088-ygdau2px	123	17	data	data	NN
cord-333088-ygdau2px	123	18	is	be	VBZ
cord-333088-ygdau2px	123	19	almost	almost	RB
cord-333088-ygdau2px	123	20	always	always	RB
cord-333088-ygdau2px	123	21	possible	possible	JJ
cord-333088-ygdau2px	123	22	.	.	.
cord-333088-ygdau2px	124	1	A	a	DT
cord-333088-ygdau2px	124	2	direct	direct	JJ
cord-333088-ygdau2px	124	3	fit	fit	NN
cord-333088-ygdau2px	124	4	of	of	IN
cord-333088-ygdau2px	124	5	time	time	NN
cord-333088-ygdau2px	124	6	series	series	NN
cord-333088-ygdau2px	124	7	,	,	,
cord-333088-ygdau2px	124	8	however	however	RB
cord-333088-ygdau2px	124	9	,	,	,
cord-333088-ygdau2px	124	10	will	will	MD
cord-333088-ygdau2px	124	11	not	not	RB
cord-333088-ygdau2px	124	12	tell	tell	VB
cord-333088-ygdau2px	124	13	us	-PRON-	PRP
cord-333088-ygdau2px	124	14	whether	whether	IN
cord-333088-ygdau2px	124	15	the	the	DT
cord-333088-ygdau2px	124	16	disease	disease	NN
cord-333088-ygdau2px	124	17	transmission	transmission	NN
cord-333088-ygdau2px	124	18	rate	rate	NN
cord-333088-ygdau2px	124	19	is	be	VBZ
cord-333088-ygdau2px	124	20	well	well	RB
cord-333088-ygdau2px	124	21	approximated	approximate	VBN
cord-333088-ygdau2px	124	22	by	by	IN
cord-333088-ygdau2px	124	23	the	the	DT
cord-333088-ygdau2px	124	24	functional	functional	JJ
cord-333088-ygdau2px	124	25	form	form	NN
cord-333088-ygdau2px	124	26	kS	ks	ADD
cord-333088-ygdau2px	125	1	p	p	NN
cord-333088-ygdau2px	125	2	I	-PRON-	PRP
cord-333088-ygdau2px	125	3	q	q	NN
cord-333088-ygdau2px	125	4	of	of	IN
cord-333088-ygdau2px	125	5	the	the	DT
cord-333088-ygdau2px	125	6	model	model	NN
cord-333088-ygdau2px	125	7	.	.	.
cord-333088-ygdau2px	126	1	We	-PRON-	PRP
cord-333088-ygdau2px	126	2	instead	instead	RB
cord-333088-ygdau2px	126	3	fit	fit	VBP
cord-333088-ygdau2px	126	4	the	the	DT
cord-333088-ygdau2px	126	5	parameters	parameter	NNS
cord-333088-ygdau2px	126	6	k	k	NNP
cord-333088-ygdau2px	126	7	,	,	,
cord-333088-ygdau2px	126	8	p	p	NNP
cord-333088-ygdau2px	126	9	,	,	,
cord-333088-ygdau2px	126	10	q	q	NNP
cord-333088-ygdau2px	126	11	to	to	IN
cord-333088-ygdau2px	126	12	the	the	DT
cord-333088-ygdau2px	126	13	transmission	transmission	NN
cord-333088-ygdau2px	126	14	rate	rate	NN
cord-333088-ygdau2px	126	15	'	'	''
cord-333088-ygdau2px	126	16	'	'	''
cord-333088-ygdau2px	126	17	observed	observe	VBD
cord-333088-ygdau2px	126	18	'	'	''
cord-333088-ygdau2px	126	19	'	'	''
cord-333088-ygdau2px	126	20	in	in	IN
cord-333088-ygdau2px	126	21	the	the	DT
cord-333088-ygdau2px	126	22	output	output	NN
cord-333088-ygdau2px	126	23	of	of	IN
cord-333088-ygdau2px	126	24	the	the	DT
cord-333088-ygdau2px	126	25	stochastic	stochastic	JJ
cord-333088-ygdau2px	126	26	simulation	simulation	NN
cord-333088-ygdau2px	126	27	.	.	.
cord-333088-ygdau2px	127	1	Specifically	specifically	RB
cord-333088-ygdau2px	127	2	,	,	,
cord-333088-ygdau2px	127	3	we	-PRON-	PRP
cord-333088-ygdau2px	127	4	obtain	obtain	VBP
cord-333088-ygdau2px	127	5	least	least	RBS
cord-333088-ygdau2px	127	6	-	-	HYPH
cord-333088-ygdau2px	127	7	squared	squared	JJ
cord-333088-ygdau2px	127	8	estimates	estimate	NNS
cord-333088-ygdau2px	127	9	of	of	IN
cord-333088-ygdau2px	127	10	k	k	NNP
cord-333088-ygdau2px	127	11	,	,	,
cord-333088-ygdau2px	127	12	p	p	NNP
cord-333088-ygdau2px	127	13	,	,	,
cord-333088-ygdau2px	127	14	q	q	NNP
cord-333088-ygdau2px	127	15	by	by	IN
cord-333088-ygdau2px	127	16	fitting	fit	VBG
cord-333088-ygdau2px	127	17	the	the	DT
cord-333088-ygdau2px	127	18	term	term	NN
cord-333088-ygdau2px	127	19	kS	ks	ADD
cord-333088-ygdau2px	128	1	p	p	NN
cord-333088-ygdau2px	128	2	I	-PRON-	PRP
cord-333088-ygdau2px	128	3	q	q	VBP
cord-333088-ygdau2px	128	4	to	to	IN
cord-333088-ygdau2px	128	5	the	the	DT
cord-333088-ygdau2px	128	6	computed	compute	VBN
cord-333088-ygdau2px	128	7	number	number	NN
cord-333088-ygdau2px	128	8	of	of	IN
cord-333088-ygdau2px	128	9	pairs	pair	NNS
cord-333088-ygdau2px	128	10	[	[	-LRB-
cord-333088-ygdau2px	128	11	SI	si	NN
cord-333088-ygdau2px	128	12	]	]	-RRB-
cord-333088-ygdau2px	128	13	that	that	WDT
cord-333088-ygdau2px	128	14	gives	give	VBZ
cord-333088-ygdau2px	128	15	the	the	DT
cord-333088-ygdau2px	128	16	disease	disease	NN
cord-333088-ygdau2px	128	17	transmission	transmission	NN
cord-333088-ygdau2px	128	18	rate	rate	NN
cord-333088-ygdau2px	128	19	of	of	IN
cord-333088-ygdau2px	128	20	the	the	DT
cord-333088-ygdau2px	128	21	stochastic	stochastic	JJ
cord-333088-ygdau2px	128	22	system	system	NN
cord-333088-ygdau2px	128	23	(	(	-LRB-
cord-333088-ygdau2px	128	24	see	see	VB
cord-333088-ygdau2px	128	25	Eq	Eq	NNP
cord-333088-ygdau2px	128	26	.	.	.
cord-333088-ygdau2px	129	1	(	(	-LRB-
cord-333088-ygdau2px	129	2	1	1	LS
cord-333088-ygdau2px	129	3	)	)	-RRB-
cord-333088-ygdau2px	129	4	)	)	-RRB-
cord-333088-ygdau2px	129	5	.	.	.
cord-333088-ygdau2px	130	1	We	-PRON-	PRP
cord-333088-ygdau2px	130	2	then	then	RB
cord-333088-ygdau2px	130	3	incorporate	incorporate	VBP
cord-333088-ygdau2px	130	4	these	these	DT
cord-333088-ygdau2px	130	5	estimates	estimate	NNS
cord-333088-ygdau2px	130	6	in	in	IN
cord-333088-ygdau2px	130	7	Eq	Eq	NNP
cord-333088-ygdau2px	130	8	.	.	.
cord-333088-ygdau2px	131	1	(	(	-LRB-
cord-333088-ygdau2px	131	2	2	2	LS
cord-333088-ygdau2px	131	3	)	)	-RRB-
cord-333088-ygdau2px	131	4	,	,	,
cord-333088-ygdau2px	131	5	and	and	CC
cord-333088-ygdau2px	131	6	compare	compare	VB
cord-333088-ygdau2px	131	7	the	the	DT
cord-333088-ygdau2px	131	8	infective	infective	JJ
cord-333088-ygdau2px	131	9	time	time	NN
cord-333088-ygdau2px	131	10	series	series	NN
cord-333088-ygdau2px	131	11	produced	produce	VBN
cord-333088-ygdau2px	131	12	by	by	IN
cord-333088-ygdau2px	131	13	this	this	DT
cord-333088-ygdau2px	131	14	HM	HM	NNP
cord-333088-ygdau2px	131	15	model	model	NN
cord-333088-ygdau2px	131	16	to	to	IN
cord-333088-ygdau2px	131	17	that	that	DT
cord-333088-ygdau2px	131	18	generated	generate	VBN
cord-333088-ygdau2px	131	19	by	by	IN
cord-333088-ygdau2px	131	20	the	the	DT
cord-333088-ygdau2px	131	21	original	original	JJ
cord-333088-ygdau2px	131	22	stochastic	stochastic	JJ
cord-333088-ygdau2px	131	23	network	network	NN
cord-333088-ygdau2px	131	24	simulation	simulation	NN
cord-333088-ygdau2px	131	25	.	.	.
cord-333088-ygdau2px	132	1	example	example	NN
cord-333088-ygdau2px	132	2	.	.	.
cord-333088-ygdau2px	133	1	In	in	IN
cord-333088-ygdau2px	133	2	this	this	DT
cord-333088-ygdau2px	133	3	way	way	NN
cord-333088-ygdau2px	133	4	,	,	,
cord-333088-ygdau2px	133	5	we	-PRON-	PRP
cord-333088-ygdau2px	133	6	can	can	MD
cord-333088-ygdau2px	133	7	address	address	VB
cord-333088-ygdau2px	133	8	whether	whether	IN
cord-333088-ygdau2px	133	9	the	the	DT
cord-333088-ygdau2px	133	10	transmission	transmission	NN
cord-333088-ygdau2px	133	11	rate	rate	NN
cord-333088-ygdau2px	133	12	is	be	VBZ
cord-333088-ygdau2px	133	13	well	well	RB
cord-333088-ygdau2px	133	14	captured	capture	VBN
cord-333088-ygdau2px	133	15	by	by	IN
cord-333088-ygdau2px	133	16	the	the	DT
cord-333088-ygdau2px	133	17	modified	modify	VBN
cord-333088-ygdau2px	133	18	functional	functional	JJ
cord-333088-ygdau2px	133	19	form	form	NN
cord-333088-ygdau2px	133	20	,	,	,
cord-333088-ygdau2px	133	21	and	and	CC
cord-333088-ygdau2px	133	22	if	if	IN
cord-333088-ygdau2px	133	23	that	that	DT
cord-333088-ygdau2px	133	24	is	be	VBZ
cord-333088-ygdau2px	133	25	the	the	DT
cord-333088-ygdau2px	133	26	case	case	NN
cord-333088-ygdau2px	133	27	,	,	,
cord-333088-ygdau2px	133	28	whether	whether	IN
cord-333088-ygdau2px	133	29	the	the	DT
cord-333088-ygdau2px	133	30	HM	HM	NNP
cord-333088-ygdau2px	133	31	model	model	NN
cord-333088-ygdau2px	133	32	approximates	approximate	VBZ
cord-333088-ygdau2px	133	33	successfully	successfully	RB
cord-333088-ygdau2px	133	34	the	the	DT
cord-333088-ygdau2px	133	35	aggregated	aggregate	VBN
cord-333088-ygdau2px	133	36	dynamics	dynamic	NNS
cord-333088-ygdau2px	133	37	of	of	IN
cord-333088-ygdau2px	133	38	the	the	DT
cord-333088-ygdau2px	133	39	stochastic	stochastic	JJ
cord-333088-ygdau2px	133	40	system	system	NN
cord-333088-ygdau2px	133	41	.	.	.
cord-333088-ygdau2px	134	1	We	-PRON-	PRP
cord-333088-ygdau2px	134	2	compare	compare	VBP
cord-333088-ygdau2px	134	3	the	the	DT
cord-333088-ygdau2px	134	4	stochastic	stochastic	JJ
cord-333088-ygdau2px	134	5	simulation	simulation	NN
cord-333088-ygdau2px	134	6	with	with	IN
cord-333088-ygdau2px	134	7	the	the	DT
cord-333088-ygdau2px	134	8	predictions	prediction	NNS
cord-333088-ygdau2px	134	9	of	of	IN
cord-333088-ygdau2px	134	10	three	three	CD
cord-333088-ygdau2px	134	11	sets	set	NNS
cord-333088-ygdau2px	134	12	of	of	IN
cord-333088-ygdau2px	134	13	model	model	NN
cord-333088-ygdau2px	134	14	equations	equation	NNS
cord-333088-ygdau2px	134	15	,	,	,
cord-333088-ygdau2px	134	16	representing	represent	VBG
cord-333088-ygdau2px	134	17	different	different	JJ
cord-333088-ygdau2px	134	18	degrees	degree	NNS
cord-333088-ygdau2px	134	19	of	of	IN
cord-333088-ygdau2px	134	20	approximation	approximation	NN
cord-333088-ygdau2px	134	21	of	of	IN
cord-333088-ygdau2px	134	22	the	the	DT
cord-333088-ygdau2px	134	23	system	system	NN
cord-333088-ygdau2px	134	24	.	.	.
cord-333088-ygdau2px	135	1	Besides	besides	IN
cord-333088-ygdau2px	135	2	the	the	DT
cord-333088-ygdau2px	135	3	HM	HM	NNP
cord-333088-ygdau2px	135	4	model	model	NN
cord-333088-ygdau2px	135	5	described	describe	VBN
cord-333088-ygdau2px	135	6	above	above	RB
cord-333088-ygdau2px	135	7	,	,	,
cord-333088-ygdau2px	135	8	we	-PRON-	PRP
cord-333088-ygdau2px	135	9	consider	consider	VBP
cord-333088-ygdau2px	135	10	the	the	DT
cord-333088-ygdau2px	135	11	bilinear	bilinear	JJ
cord-333088-ygdau2px	135	12	mean	mean	JJ
cord-333088-ygdau2px	135	13	-	-	HYPH
cord-333088-ygdau2px	135	14	field	field	NN
cord-333088-ygdau2px	135	15	model	model	NN
cord-333088-ygdau2px	135	16	given	give	VBN
cord-333088-ygdau2px	135	17	by	by	IN
cord-333088-ygdau2px	135	18	Eq	Eq	NNP
cord-333088-ygdau2px	135	19	.	.	.
cord-333088-ygdau2px	136	1	(	(	-LRB-
cord-333088-ygdau2px	136	2	4	4	LS
cord-333088-ygdau2px	136	3	)	)	-RRB-
cord-333088-ygdau2px	136	4	,	,	,
cord-333088-ygdau2px	136	5	which	which	WDT
cord-333088-ygdau2px	136	6	assumes	assume	VBZ
cord-333088-ygdau2px	136	7	k	k	NN
cord-333088-ygdau2px	136	8	=	=	SYM
cord-333088-ygdau2px	136	9	n	n	NN
cord-333088-ygdau2px	136	10	0	0	NNP
cord-333088-ygdau2px	136	11	/N	/n	NN
cord-333088-ygdau2px	136	12	and	and	CC
cord-333088-ygdau2px	136	13	p	p	NN
cord-333088-ygdau2px	136	14	=	=	SYM
cord-333088-ygdau2px	136	15	q	q	NN
cord-333088-ygdau2px	136	16	=	=	NN
cord-333088-ygdau2px	136	17	1	1	CD
cord-333088-ygdau2px	136	18	.	.	.
cord-333088-ygdau2px	137	1	This	this	DT
cord-333088-ygdau2px	137	2	comparison	comparison	NN
cord-333088-ygdau2px	137	3	demonstrates	demonstrate	VBZ
cord-333088-ygdau2px	137	4	the	the	DT
cord-333088-ygdau2px	137	5	inadequacy	inadequacy	NN
cord-333088-ygdau2px	137	6	of	of	IN
cord-333088-ygdau2px	137	7	the	the	DT
cord-333088-ygdau2px	137	8	wellmixed	wellmixed	JJ
cord-333088-ygdau2px	137	9	assumption	assumption	NN
cord-333088-ygdau2px	137	10	built	build	VBN
cord-333088-ygdau2px	137	11	into	into	IN
cord-333088-ygdau2px	137	12	the	the	DT
cord-333088-ygdau2px	137	13	bilinear	bilinear	JJ
cord-333088-ygdau2px	137	14	formulation	formulation	NN
cord-333088-ygdau2px	137	15	.	.	.
cord-333088-ygdau2px	138	1	We	-PRON-	PRP
cord-333088-ygdau2px	138	2	also	also	RB
cord-333088-ygdau2px	138	3	discuss	discuss	VBP
cord-333088-ygdau2px	138	4	a	a	DT
cord-333088-ygdau2px	138	5	restricted	restrict	VBN
cord-333088-ygdau2px	138	6	HM	HM	NNP
cord-333088-ygdau2px	138	7	model	model	NN
cord-333088-ygdau2px	138	8	with	with	IN
cord-333088-ygdau2px	138	9	an	an	DT
cord-333088-ygdau2px	138	10	incidence	incidence	NN
cord-333088-ygdau2px	138	11	function	function	NN
cord-333088-ygdau2px	138	12	of	of	IN
cord-333088-ygdau2px	138	13	the	the	DT
cord-333088-ygdau2px	138	14	form	form	NN
cord-333088-ygdau2px	138	15	ðn	ðn	CD
cord-333088-ygdau2px	138	16	0	0	CD
cord-333088-ygdau2px	138	17	=	=	NFP
cord-333088-ygdau2px	139	1	NÞS	NÞS	NNP
cord-333088-ygdau2px	139	2	pr	pr	NNP
cord-333088-ygdau2px	140	1	I	-PRON-	PRP
cord-333088-ygdau2px	140	2	qr	qr	VBP
cord-333088-ygdau2px	140	3	in	in	IN
cord-333088-ygdau2px	140	4	Eq	Eq	NNP
cord-333088-ygdau2px	140	5	.	.	.
cord-333088-ygdau2px	141	1	(	(	-LRB-
cord-333088-ygdau2px	141	2	2	2	LS
cord-333088-ygdau2px	141	3	)	)	-RRB-
cord-333088-ygdau2px	141	4	,	,	,
cord-333088-ygdau2px	141	5	with	with	IN
cord-333088-ygdau2px	141	6	only	only	RB
cord-333088-ygdau2px	141	7	two	two	CD
cord-333088-ygdau2px	141	8	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	141	9	parameters	parameter	NNS
cord-333088-ygdau2px	141	10	p	p	NN
cord-333088-ygdau2px	141	11	r	r	NN
cord-333088-ygdau2px	141	12	and	and	CC
cord-333088-ygdau2px	141	13	q	q	NNP
cord-333088-ygdau2px	141	14	r	r	NNP
cord-333088-ygdau2px	141	15	,	,	,
cord-333088-ygdau2px	141	16	as	as	IN
cord-333088-ygdau2px	141	17	originally	originally	RB
cord-333088-ygdau2px	141	18	proposed	propose	VBN
cord-333088-ygdau2px	141	19	by	by	IN
cord-333088-ygdau2px	141	20	Severo	Severo	NNP
cord-333088-ygdau2px	141	21	(	(	-LRB-
cord-333088-ygdau2px	141	22	1969	1969	CD
cord-333088-ygdau2px	141	23	)	)	-RRB-
cord-333088-ygdau2px	141	24	and	and	CC
cord-333088-ygdau2px	141	25	studied	study	VBN
cord-333088-ygdau2px	141	26	by	by	IN
cord-333088-ygdau2px	141	27	Liu	Liu	NNP
cord-333088-ygdau2px	141	28	et	et	NNP
cord-333088-ygdau2px	141	29	al	al	NNP
cord-333088-ygdau2px	141	30	.	.	.
cord-333088-ygdau2px	142	1	(	(	-LRB-
cord-333088-ygdau2px	142	2	1986	1986	CD
cord-333088-ygdau2px	142	3	)	)	-RRB-
cord-333088-ygdau2px	142	4	,	,	,
cord-333088-ygdau2px	142	5	Hethcote	Hethcote	NNP
cord-333088-ygdau2px	142	6	and	and	CC
cord-333088-ygdau2px	142	7	van	van	NNP
cord-333088-ygdau2px	142	8	den	den	NNP
cord-333088-ygdau2px	142	9	Driessche	Driessche	NNP
cord-333088-ygdau2px	142	10	(	(	-LRB-
cord-333088-ygdau2px	142	11	1991	1991	CD
cord-333088-ygdau2px	142	12	)	)	-RRB-
cord-333088-ygdau2px	142	13	and	and	CC
cord-333088-ygdau2px	142	14	Hochberg	Hochberg	NNP
cord-333088-ygdau2px	142	15	(	(	-LRB-
cord-333088-ygdau2px	142	16	1991	1991	CD
cord-333088-ygdau2px	142	17	)	)	-RRB-
cord-333088-ygdau2px	142	18	.	.	.
cord-333088-ygdau2px	143	1	The	the	DT
cord-333088-ygdau2px	143	2	stochastic	stochastic	JJ
cord-333088-ygdau2px	143	3	SIRS	SIRS	NNP
cord-333088-ygdau2px	143	4	dynamics	dynamic	NNS
cord-333088-ygdau2px	143	5	are	be	VBP
cord-333088-ygdau2px	143	6	capable	capable	JJ
cord-333088-ygdau2px	143	7	of	of	IN
cord-333088-ygdau2px	143	8	exhibiting	exhibit	VBG
cord-333088-ygdau2px	143	9	a	a	DT
cord-333088-ygdau2px	143	10	diverse	diverse	JJ
cord-333088-ygdau2px	143	11	array	array	NN
cord-333088-ygdau2px	143	12	of	of	IN
cord-333088-ygdau2px	143	13	dynamical	dynamical	JJ
cord-333088-ygdau2px	143	14	behaviors	behavior	NNS
cord-333088-ygdau2px	143	15	,	,	,
cord-333088-ygdau2px	143	16	determined	determine	VBN
cord-333088-ygdau2px	143	17	by	by	IN
cord-333088-ygdau2px	143	18	both	both	CC
cord-333088-ygdau2px	143	19	the	the	DT
cord-333088-ygdau2px	143	20	epidemic	epidemic	NN
cord-333088-ygdau2px	143	21	parameters	parameter	NNS
cord-333088-ygdau2px	143	22	b	b	NN
cord-333088-ygdau2px	143	23	,	,	,
cord-333088-ygdau2px	143	24	g	g	NNP
cord-333088-ygdau2px	143	25	,	,	,
cord-333088-ygdau2px	143	26	d	d	NNP
cord-333088-ygdau2px	143	27	and	and	CC
cord-333088-ygdau2px	143	28	the	the	DT
cord-333088-ygdau2px	143	29	network	network	NN
cord-333088-ygdau2px	143	30	short	short	RB
cord-333088-ygdau2px	143	31	-	-	HYPH
cord-333088-ygdau2px	143	32	cut	cut	NN
cord-333088-ygdau2px	143	33	parameter	parameter	NN
cord-333088-ygdau2px	144	1	f.	f.	NNP
cord-333088-ygdau2px	144	2	We	-PRON-	PRP
cord-333088-ygdau2px	144	3	choose	choose	VBP
cord-333088-ygdau2px	144	4	the	the	DT
cord-333088-ygdau2px	144	5	following	follow	VBG
cord-333088-ygdau2px	144	6	three	three	CD
cord-333088-ygdau2px	144	7	scenarios	scenario	NNS
cord-333088-ygdau2px	144	8	:	:	:
cord-333088-ygdau2px	144	9	Stable	stable	JJ
cord-333088-ygdau2px	144	10	equilibrium	equilibrium	NN
cord-333088-ygdau2px	144	11	:	:	:
cord-333088-ygdau2px	145	1	Infection	infection	NN
cord-333088-ygdau2px	145	2	levels	level	NNS
cord-333088-ygdau2px	145	3	in	in	IN
cord-333088-ygdau2px	145	4	the	the	DT
cord-333088-ygdau2px	145	5	population	population	NN
cord-333088-ygdau2px	145	6	reach	reach	VBP
cord-333088-ygdau2px	145	7	a	a	DT
cord-333088-ygdau2px	145	8	stable	stable	JJ
cord-333088-ygdau2px	145	9	equilibrium	equilibrium	NN
cord-333088-ygdau2px	145	10	relatively	relatively	RB
cord-333088-ygdau2px	145	11	rapidly	rapidly	RB
cord-333088-ygdau2px	145	12	after	after	IN
cord-333088-ygdau2px	145	13	a	a	DT
cord-333088-ygdau2px	145	14	short	short	JJ
cord-333088-ygdau2px	145	15	transient	transient	NN
cord-333088-ygdau2px	145	16	(	(	-LRB-
cord-333088-ygdau2px	145	17	Fig	Fig	NNP
cord-333088-ygdau2px	145	18	.	.	.
cord-333088-ygdau2px	145	19	3A	3A	NNP
cord-333088-ygdau2px	145	20	)	)	-RRB-
cord-333088-ygdau2px	145	21	.	.	.
cord-333088-ygdau2px	146	1	Noisy	noisy	JJ
cord-333088-ygdau2px	146	2	endemic	endemic	JJ
cord-333088-ygdau2px	146	3	state	state	NN
cord-333088-ygdau2px	146	4	:	:	:
cord-333088-ygdau2px	147	1	Infection	infection	NN
cord-333088-ygdau2px	147	2	levels	level	NNS
cord-333088-ygdau2px	147	3	exhibit	exhibit	VBP
cord-333088-ygdau2px	147	4	stochastic	stochastic	JJ
cord-333088-ygdau2px	147	5	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	147	6	around	around	IN
cord-333088-ygdau2px	147	7	an	an	DT
cord-333088-ygdau2px	147	8	endemic	endemic	JJ
cord-333088-ygdau2px	147	9	state	state	NN
cord-333088-ygdau2px	147	10	following	follow	VBG
cord-333088-ygdau2px	147	11	a	a	DT
cord-333088-ygdau2px	147	12	long	long	JJ
cord-333088-ygdau2px	147	13	transient	transient	NN
cord-333088-ygdau2px	147	14	of	of	IN
cord-333088-ygdau2px	147	15	decaying	decaying	JJ
cord-333088-ygdau2px	147	16	cycles	cycle	NNS
cord-333088-ygdau2px	147	17	(	(	-LRB-
cord-333088-ygdau2px	147	18	Fig	Fig	NNP
cord-333088-ygdau2px	147	19	.	.	.
cord-333088-ygdau2px	147	20	3B	3B	NNP
cord-333088-ygdau2px	147	21	)	)	-RRB-
cord-333088-ygdau2px	147	22	.	.	.
cord-333088-ygdau2px	148	1	Persistent	persistent	JJ
cord-333088-ygdau2px	148	2	cycles	cycle	NNS
cord-333088-ygdau2px	148	3	:	:	:
cord-333088-ygdau2px	149	1	Fluctuations	fluctuation	NNS
cord-333088-ygdau2px	149	2	with	with	IN
cord-333088-ygdau2px	149	3	a	a	DT
cord-333088-ygdau2px	149	4	well	well	RB
cord-333088-ygdau2px	149	5	defined	define	VBN
cord-333088-ygdau2px	149	6	period	period	NN
cord-333088-ygdau2px	149	7	and	and	CC
cord-333088-ygdau2px	149	8	enhanced	enhanced	JJ
cord-333088-ygdau2px	149	9	amplitude	amplitude	NN
cord-333088-ygdau2px	149	10	persist	persist	VBP
cord-333088-ygdau2px	149	11	in	in	IN
cord-333088-ygdau2px	149	12	the	the	DT
cord-333088-ygdau2px	149	13	small	small	JJ
cord-333088-ygdau2px	149	14	-	-	HYPH
cord-333088-ygdau2px	149	15	world	world	NN
cord-333088-ygdau2px	149	16	region	region	NN
cord-333088-ygdau2px	149	17	near	near	IN
cord-333088-ygdau2px	149	18	f	f	NNP
cord-333088-ygdau2px	149	19	=	=	NNP
cord-333088-ygdau2px	149	20	0.01	0.01	CD
cord-333088-ygdau2px	150	1	(	(	-LRB-
cord-333088-ygdau2px	150	2	Fig	Fig	NNP
cord-333088-ygdau2px	150	3	.	.	.
cord-333088-ygdau2px	150	4	3B	3B	NNP
cord-333088-ygdau2px	150	5	)	)	-RRB-
cord-333088-ygdau2px	150	6	.	.	.
cord-333088-ygdau2px	151	1	The	the	DT
cord-333088-ygdau2px	151	2	reason	reason	NN
cord-333088-ygdau2px	151	3	for	for	IN
cord-333088-ygdau2px	151	4	choosing	choose	VBG
cord-333088-ygdau2px	151	5	these	these	DT
cord-333088-ygdau2px	151	6	different	different	JJ
cord-333088-ygdau2px	151	7	temporal	temporal	JJ
cord-333088-ygdau2px	151	8	patterns	pattern	NNS
cord-333088-ygdau2px	151	9	is	be	VBZ
cord-333088-ygdau2px	151	10	to	to	TO
cord-333088-ygdau2px	151	11	test	test	VB
cord-333088-ygdau2px	151	12	the	the	DT
cord-333088-ygdau2px	151	13	HM	HM	NNP
cord-333088-ygdau2px	151	14	model	model	NN
cord-333088-ygdau2px	151	15	against	against	IN
cord-333088-ygdau2px	151	16	a	a	DT
cord-333088-ygdau2px	151	17	wider	wide	JJR
cord-333088-ygdau2px	151	18	range	range	NN
cord-333088-ygdau2px	151	19	of	of	IN
cord-333088-ygdau2px	151	20	behaviors	behavior	NNS
cord-333088-ygdau2px	151	21	of	of	IN
cord-333088-ygdau2px	151	22	the	the	DT
cord-333088-ygdau2px	151	23	stochastic	stochastic	JJ
cord-333088-ygdau2px	151	24	system	system	NN
cord-333088-ygdau2px	151	25	.	.	.
cord-333088-ygdau2px	152	1	The	the	DT
cord-333088-ygdau2px	152	2	oscillatory	oscillatory	JJ
cord-333088-ygdau2px	152	3	case	case	NN
cord-333088-ygdau2px	152	4	has	have	VBZ
cord-333088-ygdau2px	152	5	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	152	6	significance	significance	NN
cord-333088-ygdau2px	152	7	because	because	IN
cord-333088-ygdau2px	152	8	of	of	IN
cord-333088-ygdau2px	152	9	the	the	DT
cord-333088-ygdau2px	152	10	observed	observed	JJ
cord-333088-ygdau2px	152	11	pervasiveness	pervasiveness	NN
cord-333088-ygdau2px	152	12	of	of	IN
cord-333088-ygdau2px	152	13	cyclic	cyclic	JJ
cord-333088-ygdau2px	152	14	disease	disease	NN
cord-333088-ygdau2px	152	15	patterns	pattern	NNS
cord-333088-ygdau2px	152	16	(	(	-LRB-
cord-333088-ygdau2px	152	17	Cliff	Cliff	NNP
cord-333088-ygdau2px	152	18	and	and	CC
cord-333088-ygdau2px	152	19	Haggett	Haggett	NNP
cord-333088-ygdau2px	152	20	,	,	,
cord-333088-ygdau2px	152	21	1984	1984	CD
cord-333088-ygdau2px	152	22	;	;	:
cord-333088-ygdau2px	152	23	Grenfell	Grenfell	NNP
cord-333088-ygdau2px	152	24	and	and	CC
cord-333088-ygdau2px	152	25	Harwood	Harwood	NNP
cord-333088-ygdau2px	152	26	,	,	,
cord-333088-ygdau2px	152	27	1997	1997	CD
cord-333088-ygdau2px	152	28	;	;	:
cord-333088-ygdau2px	152	29	Pascual	Pascual	NNP
cord-333088-ygdau2px	152	30	et	et	NNP
cord-333088-ygdau2px	152	31	al	al	NNP
cord-333088-ygdau2px	152	32	.	.	NNP
cord-333088-ygdau2px	152	33	,	,	,
cord-333088-ygdau2px	152	34	2000	2000	CD
cord-333088-ygdau2px	152	35	)	)	-RRB-
cord-333088-ygdau2px	152	36	.	.	.
cord-333088-ygdau2px	153	1	Fig	Fig	NNP
cord-333088-ygdau2px	153	2	.	.	.
cord-333088-ygdau2px	154	1	3A	3A	NNP
cord-333088-ygdau2px	154	2	presents	present	VBZ
cord-333088-ygdau2px	154	3	simulation	simulation	NN
cord-333088-ygdau2px	154	4	examples	example	NNS
cord-333088-ygdau2px	154	5	of	of	IN
cord-333088-ygdau2px	154	6	the	the	DT
cord-333088-ygdau2px	154	7	epidemic	epidemic	NN
cord-333088-ygdau2px	154	8	time	time	NN
cord-333088-ygdau2px	154	9	series	series	NN
cord-333088-ygdau2px	154	10	for	for	IN
cord-333088-ygdau2px	154	11	three	three	CD
cord-333088-ygdau2px	154	12	values	value	NNS
cord-333088-ygdau2px	154	13	of	of	IN
cord-333088-ygdau2px	154	14	the	the	DT
cord-333088-ygdau2px	154	15	short	short	RB
cord-333088-ygdau2px	154	16	-	-	HYPH
cord-333088-ygdau2px	154	17	cut	cut	NN
cord-333088-ygdau2px	154	18	parameter	parameter	NN
cord-333088-ygdau2px	154	19	f	f	NN
cord-333088-ygdau2px	154	20	,	,	,
cord-333088-ygdau2px	154	21	representing	represent	VBG
cord-333088-ygdau2px	154	22	the	the	DT
cord-333088-ygdau2px	154	23	regular	regular	JJ
cord-333088-ygdau2px	154	24	grid	grid	NN
cord-333088-ygdau2px	154	25	(	(	-LRB-
cord-333088-ygdau2px	154	26	f	f	NN
cord-333088-ygdau2px	154	27	=	=	NN
cord-333088-ygdau2px	154	28	0	0	CD
cord-333088-ygdau2px	154	29	)	)	-RRB-
cord-333088-ygdau2px	154	30	,	,	,
cord-333088-ygdau2px	154	31	the	the	DT
cord-333088-ygdau2px	154	32	small	small	JJ
cord-333088-ygdau2px	154	33	-	-	HYPH
cord-333088-ygdau2px	154	34	world	world	NN
cord-333088-ygdau2px	154	35	network	network	NN
cord-333088-ygdau2px	154	36	(	(	-LRB-
cord-333088-ygdau2px	154	37	f	f	NNP
cord-333088-ygdau2px	154	38	=	=	NNP
cord-333088-ygdau2px	154	39	0.01	0.01	CD
cord-333088-ygdau2px	154	40	)	)	-RRB-
cord-333088-ygdau2px	154	41	and	and	CC
cord-333088-ygdau2px	154	42	the	the	DT
cord-333088-ygdau2px	154	43	random	random	JJ
cord-333088-ygdau2px	154	44	network	network	NN
cord-333088-ygdau2px	154	45	(	(	-LRB-
cord-333088-ygdau2px	154	46	f	f	NN
cord-333088-ygdau2px	154	47	=	=	NN
cord-333088-ygdau2px	154	48	1	1	CD
cord-333088-ygdau2px	154	49	)	)	-RRB-
cord-333088-ygdau2px	154	50	.	.	.
cord-333088-ygdau2px	155	1	The	the	DT
cord-333088-ygdau2px	155	2	transient	transient	JJ
cord-333088-ygdau2px	155	3	pattern	pattern	NN
cord-333088-ygdau2px	155	4	depends	depend	VBZ
cord-333088-ygdau2px	155	5	strongly	strongly	RB
cord-333088-ygdau2px	155	6	on	on	IN
cord-333088-ygdau2px	155	7	f	f	XX
cord-333088-ygdau2px	155	8	:	:	:
cord-333088-ygdau2px	156	1	a	a	DT
cord-333088-ygdau2px	156	2	high	high	JJ
cord-333088-ygdau2px	156	3	degree	degree	NN
cord-333088-ygdau2px	156	4	of	of	IN
cord-333088-ygdau2px	156	5	local	local	JJ
cord-333088-ygdau2px	156	6	clustering	clustering	NN
cord-333088-ygdau2px	156	7	in	in	IN
cord-333088-ygdau2px	156	8	a	a	DT
cord-333088-ygdau2px	156	9	regular	regular	JJ
cord-333088-ygdau2px	156	10	grid	grid	NN
cord-333088-ygdau2px	156	11	slows	slow	VBZ
cord-333088-ygdau2px	156	12	the	the	DT
cord-333088-ygdau2px	156	13	initial	initial	JJ
cord-333088-ygdau2px	156	14	buildup	buildup	NN
cord-333088-ygdau2px	156	15	of	of	IN
cord-333088-ygdau2px	156	16	the	the	DT
cord-333088-ygdau2px	156	17	epidemic	epidemic	NN
cord-333088-ygdau2px	156	18	,	,	,
cord-333088-ygdau2px	156	19	whereas	whereas	IN
cord-333088-ygdau2px	156	20	in	in	IN
cord-333088-ygdau2px	156	21	a	a	DT
cord-333088-ygdau2px	156	22	random	random	JJ
cord-333088-ygdau2px	156	23	network	network	NN
cord-333088-ygdau2px	156	24	with	with	IN
cord-333088-ygdau2px	156	25	negligible	negligible	JJ
cord-333088-ygdau2px	156	26	clustering	clustering	NN
cord-333088-ygdau2px	156	27	(	(	-LRB-
cord-333088-ygdau2px	156	28	Fig	Fig	NNP
cord-333088-ygdau2px	156	29	.	.	.
cord-333088-ygdau2px	156	30	1D	1d	CD
cord-333088-ygdau2px	156	31	)	)	-RRB-
cord-333088-ygdau2px	157	1	the	the	DT
cord-333088-ygdau2px	157	2	disease	disease	NN
cord-333088-ygdau2px	157	3	grows	grow	VBZ
cord-333088-ygdau2px	157	4	relatively	relatively	RB
cord-333088-ygdau2px	157	5	fast	fast	JJ
cord-333088-ygdau2px	157	6	.	.	.
cord-333088-ygdau2px	158	1	The	the	DT
cord-333088-ygdau2px	158	2	transient	transient	NN
cord-333088-ygdau2px	158	3	for	for	IN
cord-333088-ygdau2px	158	4	the	the	DT
cord-333088-ygdau2px	158	5	small	small	JJ
cord-333088-ygdau2px	158	6	-	-	HYPH
cord-333088-ygdau2px	158	7	world	world	NN
cord-333088-ygdau2px	158	8	network	network	NN
cord-333088-ygdau2px	158	9	lies	lie	VBZ
cord-333088-ygdau2px	158	10	in	in	IN
cord-333088-ygdau2px	158	11	between	between	IN
cord-333088-ygdau2px	158	12	these	these	DT
cord-333088-ygdau2px	158	13	two	two	CD
cord-333088-ygdau2px	158	14	extremes	extreme	NNS
cord-333088-ygdau2px	158	15	.	.	.
cord-333088-ygdau2px	159	1	By	by	IN
cord-333088-ygdau2px	159	2	contrast	contrast	NN
cord-333088-ygdau2px	159	3	,	,	,
cord-333088-ygdau2px	159	4	the	the	DT
cord-333088-ygdau2px	159	5	stable	stable	JJ
cord-333088-ygdau2px	159	6	equilibrium	equilibrium	NN
cord-333088-ygdau2px	159	7	level	level	NN
cord-333088-ygdau2px	159	8	of	of	IN
cord-333088-ygdau2px	159	9	the	the	DT
cord-333088-ygdau2px	159	10	infection	infection	NN
cord-333088-ygdau2px	159	11	remains	remain	VBZ
cord-333088-ygdau2px	159	12	insensitive	insensitive	JJ
cord-333088-ygdau2px	159	13	to	to	IN
cord-333088-ygdau2px	159	14	f	f	NNP
cord-333088-ygdau2px	159	15	,	,	,
cord-333088-ygdau2px	159	16	implying	imply	VBG
cord-333088-ygdau2px	159	17	that	that	IN
cord-333088-ygdau2px	159	18	the	the	DT
cord-333088-ygdau2px	159	19	equilibrium	equilibrium	NN
cord-333088-ygdau2px	159	20	should	should	MD
cord-333088-ygdau2px	159	21	be	be	VB
cord-333088-ygdau2px	159	22	well	well	RB
cord-333088-ygdau2px	159	23	predicted	predict	VBN
cord-333088-ygdau2px	159	24	by	by	IN
cord-333088-ygdau2px	159	25	the	the	DT
cord-333088-ygdau2px	159	26	bilinear	bilinear	JJ
cord-333088-ygdau2px	159	27	mean	mean	JJ
cord-333088-ygdau2px	159	28	-	-	HYPH
cord-333088-ygdau2px	159	29	field	field	NN
cord-333088-ygdau2px	159	30	approximation	approximation	NN
cord-333088-ygdau2px	159	31	(	(	-LRB-
cord-333088-ygdau2px	159	32	Eq	Eq	NNP
cord-333088-ygdau2px	159	33	.	.	.
cord-333088-ygdau2px	160	1	(	(	-LRB-
cord-333088-ygdau2px	160	2	4	4	LS
cord-333088-ygdau2px	160	3	)	)	-RRB-
cord-333088-ygdau2px	160	4	)	)	-RRB-
cord-333088-ygdau2px	160	5	itself	-PRON-	PRP
cord-333088-ygdau2px	160	6	.	.	.
cord-333088-ygdau2px	161	1	Least	Least	JJS
cord-333088-ygdau2px	161	2	-	-	HYPH
cord-333088-ygdau2px	161	3	squared	squared	JJ
cord-333088-ygdau2px	161	4	estimates	estimate	NNS
cord-333088-ygdau2px	161	5	of	of	IN
cord-333088-ygdau2px	161	6	the	the	DT
cord-333088-ygdau2px	161	7	two	two	CD
cord-333088-ygdau2px	161	8	sets	set	NNS
cord-333088-ygdau2px	161	9	of	of	IN
cord-333088-ygdau2px	161	10	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	161	11	parameters	parameter	NNS
cord-333088-ygdau2px	161	12	[	[	-LRB-
cord-333088-ygdau2px	161	13	k	k	NNP
cord-333088-ygdau2px	161	14	,	,	,
cord-333088-ygdau2px	161	15	p	p	NNP
cord-333088-ygdau2px	161	16	,	,	,
cord-333088-ygdau2px	161	17	q	q	NNP
cord-333088-ygdau2px	161	18	]	]	-RRB-
cord-333088-ygdau2px	161	19	and	and	CC
cord-333088-ygdau2px	161	20	[	[	-LRB-
cord-333088-ygdau2px	161	21	k	k	NNP
cord-333088-ygdau2px	161	22	r	r	NN
cord-333088-ygdau2px	161	23	=	=	SYM
cord-333088-ygdau2px	161	24	n	n	NN
cord-333088-ygdau2px	161	25	0	0	NNP
cord-333088-ygdau2px	161	26	/N	/N	NNP
cord-333088-ygdau2px	161	27	,	,	,
cord-333088-ygdau2px	161	28	p	p	NN
cord-333088-ygdau2px	161	29	r	r	NN
cord-333088-ygdau2px	161	30	,	,	,
cord-333088-ygdau2px	161	31	q	q	NNP
cord-333088-ygdau2px	161	32	r	r	NNP
cord-333088-ygdau2px	161	33	]	]	-RRB-
cord-333088-ygdau2px	161	34	,	,	,
cord-333088-ygdau2px	161	35	for	for	IN
cord-333088-ygdau2px	161	36	the	the	DT
cord-333088-ygdau2px	161	37	full	full	JJ
cord-333088-ygdau2px	161	38	and	and	CC
cord-333088-ygdau2px	161	39	restricted	restricted	JJ
cord-333088-ygdau2px	161	40	versions	version	NNS
cord-333088-ygdau2px	161	41	of	of	IN
cord-333088-ygdau2px	161	42	the	the	DT
cord-333088-ygdau2px	161	43	HM	HM	NNP
cord-333088-ygdau2px	161	44	model	model	NN
cord-333088-ygdau2px	161	45	respectively	respectively	RB
cord-333088-ygdau2px	161	46	,	,	,
cord-333088-ygdau2px	161	47	are	be	VBP
cord-333088-ygdau2px	161	48	obtained	obtain	VBN
cord-333088-ygdau2px	161	49	for	for	IN
cord-333088-ygdau2px	161	50	a	a	DT
cord-333088-ygdau2px	161	51	series	series	NN
cord-333088-ygdau2px	161	52	of	of	IN
cord-333088-ygdau2px	161	53	f	f	NNP
cord-333088-ygdau2px	161	54	values	value	NNS
cord-333088-ygdau2px	161	55	corresponding	correspond	VBG
cord-333088-ygdau2px	161	56	to	to	IN
cord-333088-ygdau2px	161	57	different	different	JJ
cord-333088-ygdau2px	161	58	network	network	NN
cord-333088-ygdau2px	161	59	configurations	configuration	NNS
cord-333088-ygdau2px	161	60	,	,	,
cord-333088-ygdau2px	161	61	as	as	IN
cord-333088-ygdau2px	161	62	described	describe	VBN
cord-333088-ygdau2px	161	63	in	in	IN
cord-333088-ygdau2px	161	64	Section	section	NN
cord-333088-ygdau2px	161	65	3	3	CD
cord-333088-ygdau2px	161	66	.	.	.
cord-333088-ygdau2px	162	1	The	the	DT
cord-333088-ygdau2px	162	2	disease	disease	NN
cord-333088-ygdau2px	162	3	parameters	parameter	VBZ
cord-333088-ygdau2px	162	4	b	b	NNP
cord-333088-ygdau2px	162	5	,	,	,
cord-333088-ygdau2px	162	6	g	g	NN
cord-333088-ygdau2px	162	7	and	and	CC
cord-333088-ygdau2px	162	8	d	d	NN
cord-333088-ygdau2px	162	9	are	be	VBP
cord-333088-ygdau2px	162	10	kept	keep	VBN
cord-333088-ygdau2px	162	11	fixed	fix	VBN
cord-333088-ygdau2px	162	12	throughout	throughout	IN
cord-333088-ygdau2px	162	13	,	,	,
cord-333088-ygdau2px	162	14	making	make	VBG
cord-333088-ygdau2px	162	15	the	the	DT
cord-333088-ygdau2px	162	16	epidemic	epidemic	NN
cord-333088-ygdau2px	162	17	processes	process	NNS
cord-333088-ygdau2px	162	18	operate	operate	VBP
cord-333088-ygdau2px	162	19	at	at	IN
cord-333088-ygdau2px	162	20	the	the	DT
cord-333088-ygdau2px	162	21	same	same	JJ
cord-333088-ygdau2px	162	22	rates	rate	NNS
cord-333088-ygdau2px	162	23	across	across	IN
cord-333088-ygdau2px	162	24	different	different	JJ
cord-333088-ygdau2px	162	25	networks	network	NNS
cord-333088-ygdau2px	162	26	,	,	,
cord-333088-ygdau2px	162	27	so	so	IN
cord-333088-ygdau2px	162	28	that	that	IN
cord-333088-ygdau2px	162	29	the	the	DT
cord-333088-ygdau2px	162	30	effects	effect	NNS
cord-333088-ygdau2px	162	31	of	of	IN
cord-333088-ygdau2px	162	32	the	the	DT
cord-333088-ygdau2px	162	33	network	network	NN
cord-333088-ygdau2px	162	34	structure	structure	NN
cord-333088-ygdau2px	162	35	on	on	IN
cord-333088-ygdau2px	162	36	the	the	DT
cord-333088-ygdau2px	162	37	dynamics	dynamic	NNS
cord-333088-ygdau2px	162	38	can	can	MD
cord-333088-ygdau2px	162	39	be	be	VB
cord-333088-ygdau2px	162	40	studied	study	VBN
cord-333088-ygdau2px	162	41	independently	independently	RB
cord-333088-ygdau2px	162	42	.	.	.
cord-333088-ygdau2px	163	1	transient	transient	JJ
cord-333088-ygdau2px	163	2	patterns	pattern	NNS
cord-333088-ygdau2px	163	3	,	,	,
cord-333088-ygdau2px	163	4	however	however	RB
cord-333088-ygdau2px	163	5	,	,	,
cord-333088-ygdau2px	163	6	presents	present	VBZ
cord-333088-ygdau2px	163	7	a	a	DT
cord-333088-ygdau2px	163	8	different	different	JJ
cord-333088-ygdau2px	163	9	picture	picture	NN
cord-333088-ygdau2px	163	10	.	.	.
cord-333088-ygdau2px	164	1	The	the	DT
cord-333088-ygdau2px	164	2	mean	mean	JJ
cord-333088-ygdau2px	164	3	-	-	HYPH
cord-333088-ygdau2px	164	4	field	field	NN
cord-333088-ygdau2px	164	5	trajectory	trajectory	NN
cord-333088-ygdau2px	164	6	deviates	deviate	VBZ
cord-333088-ygdau2px	164	7	the	the	DT
cord-333088-ygdau2px	164	8	most	most	JJS
cord-333088-ygdau2px	164	9	from	from	IN
cord-333088-ygdau2px	164	10	the	the	DT
cord-333088-ygdau2px	164	11	stochastic	stochastic	JJ
cord-333088-ygdau2px	164	12	simulation	simulation	NN
cord-333088-ygdau2px	164	13	for	for	IN
cord-333088-ygdau2px	164	14	the	the	DT
cord-333088-ygdau2px	164	15	regular	regular	JJ
cord-333088-ygdau2px	164	16	grid	grid	NN
cord-333088-ygdau2px	164	17	(	(	-LRB-
cord-333088-ygdau2px	164	18	f	f	NN
cord-333088-ygdau2px	164	19	=	=	NN
cord-333088-ygdau2px	164	20	0	0	CD
cord-333088-ygdau2px	164	21	)	)	-RRB-
cord-333088-ygdau2px	164	22	,	,	,
cord-333088-ygdau2px	164	23	and	and	CC
cord-333088-ygdau2px	164	24	the	the	DT
cord-333088-ygdau2px	164	25	least	least	JJS
cord-333088-ygdau2px	164	26	for	for	IN
cord-333088-ygdau2px	164	27	the	the	DT
cord-333088-ygdau2px	164	28	random	random	JJ
cord-333088-ygdau2px	164	29	network	network	NN
cord-333088-ygdau2px	164	30	(	(	-LRB-
cord-333088-ygdau2px	164	31	f	f	NN
cord-333088-ygdau2px	164	32	=	=	NN
cord-333088-ygdau2px	164	33	1	1	CD
cord-333088-ygdau2px	164	34	)	)	-RRB-
cord-333088-ygdau2px	164	35	.	.	.
cord-333088-ygdau2px	165	1	The	the	DT
cord-333088-ygdau2px	165	2	full	full	JJ
cord-333088-ygdau2px	165	3	HM	HM	NNP
cord-333088-ygdau2px	165	4	model	model	NN
cord-333088-ygdau2px	165	5	with	with	IN
cord-333088-ygdau2px	165	6	its	-PRON-	PRP$
cord-333088-ygdau2px	165	7	three	three	CD
cord-333088-ygdau2px	165	8	parameters	parameter	NNS
cord-333088-ygdau2px	165	9	k	k	NNP
cord-333088-ygdau2px	165	10	,	,	,
cord-333088-ygdau2px	165	11	p	p	NNP
cord-333088-ygdau2px	165	12	and	and	CC
cord-333088-ygdau2px	165	13	q	q	NNP
cord-333088-ygdau2px	165	14	,	,	,
cord-333088-ygdau2px	165	15	on	on	IN
cord-333088-ygdau2px	165	16	the	the	DT
cord-333088-ygdau2px	165	17	other	other	JJ
cord-333088-ygdau2px	165	18	hand	hand	NN
cord-333088-ygdau2px	165	19	,	,	,
cord-333088-ygdau2px	165	20	demonstrates	demonstrate	VBZ
cord-333088-ygdau2px	165	21	an	an	DT
cord-333088-ygdau2px	165	22	excellent	excellent	JJ
cord-333088-ygdau2px	165	23	agreement	agreement	NN
cord-333088-ygdau2px	165	24	with	with	IN
cord-333088-ygdau2px	165	25	the	the	DT
cord-333088-ygdau2px	165	26	stochastic	stochastic	JJ
cord-333088-ygdau2px	165	27	transients	transient	NNS
cord-333088-ygdau2px	165	28	for	for	IN
cord-333088-ygdau2px	165	29	all	all	DT
cord-333088-ygdau2px	165	30	values	value	NNS
cord-333088-ygdau2px	165	31	of	of	IN
cord-333088-ygdau2px	165	32	f.	f.	NN
cord-333088-ygdau2px	166	1	By	by	IN
cord-333088-ygdau2px	166	2	comparison	comparison	NN
cord-333088-ygdau2px	166	3	,	,	,
cord-333088-ygdau2px	166	4	the	the	DT
cord-333088-ygdau2px	166	5	transient	transient	JJ
cord-333088-ygdau2px	166	6	patterns	pattern	NNS
cord-333088-ygdau2px	166	7	of	of	IN
cord-333088-ygdau2px	166	8	the	the	DT
cord-333088-ygdau2px	166	9	restricted	restricted	JJ
cord-333088-ygdau2px	166	10	HM	HM	NNP
cord-333088-ygdau2px	166	11	model	model	NN
cord-333088-ygdau2px	166	12	with	with	IN
cord-333088-ygdau2px	166	13	only	only	RB
cord-333088-ygdau2px	166	14	two	two	CD
cord-333088-ygdau2px	166	15	fitting	fitting	JJ
cord-333088-ygdau2px	166	16	parameters	parameter	NNS
cord-333088-ygdau2px	166	17	p	p	NN
cord-333088-ygdau2px	166	18	r	r	NN
cord-333088-ygdau2px	166	19	and	and	CC
cord-333088-ygdau2px	166	20	q	q	NNP
cord-333088-ygdau2px	166	21	r	r	NNP
cord-333088-ygdau2px	166	22	differ	differ	VBP
cord-333088-ygdau2px	166	23	significantly	significantly	RB
cord-333088-ygdau2px	166	24	for	for	IN
cord-333088-ygdau2px	166	25	low	low	JJ
cord-333088-ygdau2px	166	26	values	value	NNS
cord-333088-ygdau2px	166	27	of	of	IN
cord-333088-ygdau2px	166	28	f	f	NNP
cord-333088-ygdau2px	166	29	(	(	-LRB-
cord-333088-ygdau2px	166	30	Fig	Fig	NNP
cord-333088-ygdau2px	166	31	.	.	.
cord-333088-ygdau2px	166	32	4A	4a	CD
cord-333088-ygdau2px	166	33	and	and	CC
cord-333088-ygdau2px	166	34	B	B	NNP
cord-333088-ygdau2px	166	35	)	)	-RRB-
cord-333088-ygdau2px	166	36	.	.	.
cord-333088-ygdau2px	167	1	The	the	DT
cord-333088-ygdau2px	167	2	poor	poor	JJ
cord-333088-ygdau2px	167	3	agreement	agreement	NN
cord-333088-ygdau2px	167	4	of	of	IN
cord-333088-ygdau2px	167	5	the	the	DT
cord-333088-ygdau2px	167	6	restricted	restricted	JJ
cord-333088-ygdau2px	167	7	HM	HM	NNP
cord-333088-ygdau2px	167	8	and	and	CC
cord-333088-ygdau2px	167	9	the	the	DT
cord-333088-ygdau2px	167	10	mean	mean	JJ
cord-333088-ygdau2px	167	11	-	-	HYPH
cord-333088-ygdau2px	167	12	field	field	NN
cord-333088-ygdau2px	167	13	transients	transient	NNS
cord-333088-ygdau2px	167	14	with	with	IN
cord-333088-ygdau2px	167	15	the	the	DT
cord-333088-ygdau2px	167	16	stochastic	stochastic	JJ
cord-333088-ygdau2px	167	17	data	datum	NNS
cord-333088-ygdau2px	167	18	for	for	IN
cord-333088-ygdau2px	167	19	a	a	DT
cord-333088-ygdau2px	167	20	clustered	clustered	JJ
cord-333088-ygdau2px	167	21	network	network	NN
cord-333088-ygdau2px	167	22	(	(	-LRB-
cord-333088-ygdau2px	167	23	low	low	JJ
cord-333088-ygdau2px	167	24	f	f	NNP
cord-333088-ygdau2px	167	25	)	)	-RRB-
cord-333088-ygdau2px	167	26	is	be	VBZ
cord-333088-ygdau2px	167	27	due	due	JJ
cord-333088-ygdau2px	167	28	to	to	IN
cord-333088-ygdau2px	167	29	the	the	DT
cord-333088-ygdau2px	167	30	failure	failure	NN
cord-333088-ygdau2px	167	31	of	of	IN
cord-333088-ygdau2px	167	32	their	-PRON-	PRP$
cord-333088-ygdau2px	167	33	respective	respective	JJ
cord-333088-ygdau2px	167	34	incidence	incidence	NN
cord-333088-ygdau2px	167	35	functions	function	NNS
cord-333088-ygdau2px	167	36	to	to	TO
cord-333088-ygdau2px	167	37	fit	fit	VB
cord-333088-ygdau2px	167	38	the	the	DT
cord-333088-ygdau2px	167	39	transmission	transmission	NN
cord-333088-ygdau2px	167	40	rate	rate	NN
cord-333088-ygdau2px	167	41	of	of	IN
cord-333088-ygdau2px	167	42	the	the	DT
cord-333088-ygdau2px	167	43	stochastic	stochastic	JJ
cord-333088-ygdau2px	167	44	system	system	NN
cord-333088-ygdau2px	167	45	(	(	-LRB-
cord-333088-ygdau2px	167	46	Fig	Fig	NNP
cord-333088-ygdau2px	167	47	.	.	.
cord-333088-ygdau2px	167	48	2A	2a	CD
cord-333088-ygdau2px	167	49	)	)	-RRB-
cord-333088-ygdau2px	167	50	.	.	.
cord-333088-ygdau2px	168	1	On	on	IN
cord-333088-ygdau2px	168	2	the	the	DT
cord-333088-ygdau2px	168	3	other	other	JJ
cord-333088-ygdau2px	168	4	hand	hand	NN
cord-333088-ygdau2px	168	5	,	,	,
cord-333088-ygdau2px	168	6	the	the	DT
cord-333088-ygdau2px	168	7	random	random	JJ
cord-333088-ygdau2px	168	8	network	network	NN
cord-333088-ygdau2px	168	9	has	have	VBZ
cord-333088-ygdau2px	168	10	negligible	negligible	JJ
cord-333088-ygdau2px	168	11	clustering	clustering	NN
cord-333088-ygdau2px	168	12	,	,	,
cord-333088-ygdau2px	168	13	and	and	CC
cord-333088-ygdau2px	168	14	the	the	DT
cord-333088-ygdau2px	168	15	interaction	interaction	NN
cord-333088-ygdau2px	168	16	between	between	IN
cord-333088-ygdau2px	168	17	susceptible	susceptible	JJ
cord-333088-ygdau2px	168	18	and	and	CC
cord-333088-ygdau2px	168	19	infective	infective	JJ
cord-333088-ygdau2px	168	20	individuals	individual	NNS
cord-333088-ygdau2px	168	21	is	be	VBZ
cord-333088-ygdau2px	168	22	sufficiently	sufficiently	RB
cord-333088-ygdau2px	168	23	well	well	RB
cord-333088-ygdau2px	168	24	mixed	mixed	JJ
cord-333088-ygdau2px	168	25	for	for	IN
cord-333088-ygdau2px	168	26	the	the	DT
cord-333088-ygdau2px	168	27	restricted	restricted	JJ
cord-333088-ygdau2px	168	28	HM	HM	NNP
cord-333088-ygdau2px	168	29	model	model	NN
cord-333088-ygdau2px	168	30	to	to	TO
cord-333088-ygdau2px	168	31	provide	provide	VB
cord-333088-ygdau2px	168	32	as	as	RB
cord-333088-ygdau2px	168	33	good	good	JJ
cord-333088-ygdau2px	168	34	an	an	DT
cord-333088-ygdau2px	168	35	approximation	approximation	NN
cord-333088-ygdau2px	168	36	of	of	IN
cord-333088-ygdau2px	168	37	the	the	DT
cord-333088-ygdau2px	168	38	stochastic	stochastic	JJ
cord-333088-ygdau2px	168	39	transient	transient	NN
cord-333088-ygdau2px	168	40	as	as	IN
cord-333088-ygdau2px	168	41	the	the	DT
cord-333088-ygdau2px	168	42	full	full	JJ
cord-333088-ygdau2px	168	43	HM	HM	NNP
cord-333088-ygdau2px	168	44	model	model	NN
cord-333088-ygdau2px	168	45	(	(	-LRB-
cord-333088-ygdau2px	168	46	Fig	Fig	NNP
cord-333088-ygdau2px	168	47	.	.	.
cord-333088-ygdau2px	168	48	4C	4c	CD
cord-333088-ygdau2px	168	49	)	)	-RRB-
cord-333088-ygdau2px	168	50	.	.	.
cord-333088-ygdau2px	169	1	The	the	DT
cord-333088-ygdau2px	169	2	estimates	estimate	NNS
cord-333088-ygdau2px	169	3	[	[	-LRB-
cord-333088-ygdau2px	169	4	k	k	NNP
cord-333088-ygdau2px	169	5	,	,	,
cord-333088-ygdau2px	169	6	p	p	NNP
cord-333088-ygdau2px	169	7	,	,	,
cord-333088-ygdau2px	169	8	q	q	NNP
cord-333088-ygdau2px	169	9	]	]	-RRB-
cord-333088-ygdau2px	169	10	=	=	NFP
cord-333088-ygdau2px	169	11	[	[	-LRB-
cord-333088-ygdau2px	169	12	0.0001	0.0001	CD
cord-333088-ygdau2px	169	13	,	,	,
cord-333088-ygdau2px	169	14	0.94	0.94	CD
cord-333088-ygdau2px	169	15	,	,	,
cord-333088-ygdau2px	169	16	0.97	0.97	CD
cord-333088-ygdau2px	169	17	]	]	-RRB-
cord-333088-ygdau2px	169	18	and	and	CC
cord-333088-ygdau2px	169	19	[	[	-LRB-
cord-333088-ygdau2px	169	20	n	n	NN
cord-333088-ygdau2px	169	21	0	0	CD
cord-333088-ygdau2px	169	22	/N	/N	NNP
cord-333088-ygdau2px	169	23	,	,	,
cord-333088-ygdau2px	169	24	p	p	NN
cord-333088-ygdau2px	169	25	r	r	NN
cord-333088-ygdau2px	169	26	,	,	,
cord-333088-ygdau2px	169	27	q	q	NNP
cord-333088-ygdau2px	169	28	r	r	NNP
cord-333088-ygdau2px	169	29	]	]	-RRB-
cord-333088-ygdau2px	169	30	=	=	NFP
cord-333088-ygdau2px	169	31	[	[	-LRB-
cord-333088-ygdau2px	169	32	0.00005	0.00005	CD
cord-333088-ygdau2px	169	33	,	,	,
cord-333088-ygdau2px	169	34	0.99	0.99	CD
cord-333088-ygdau2px	169	35	,	,	,
cord-333088-ygdau2px	169	36	1	1	CD
cord-333088-ygdau2px	169	37	]	]	-RRB-
cord-333088-ygdau2px	169	38	for	for	IN
cord-333088-ygdau2px	169	39	these	these	DT
cord-333088-ygdau2px	169	40	two	two	CD
cord-333088-ygdau2px	169	41	models	model	NNS
cord-333088-ygdau2px	169	42	are	be	VBP
cord-333088-ygdau2px	169	43	also	also	RB
cord-333088-ygdau2px	169	44	quite	quite	RB
cord-333088-ygdau2px	169	45	similar	similar	JJ
cord-333088-ygdau2px	169	46	.	.	.
cord-333088-ygdau2px	170	1	The	the	DT
cord-333088-ygdau2px	170	2	discrepancy	discrepancy	NN
cord-333088-ygdau2px	170	3	for	for	IN
cord-333088-ygdau2px	170	4	the	the	DT
cord-333088-ygdau2px	170	5	mean	mean	JJ
cord-333088-ygdau2px	170	6	-	-	HYPH
cord-333088-ygdau2px	170	7	field	field	NN
cord-333088-ygdau2px	170	8	transients	transient	NNS
cord-333088-ygdau2px	170	9	(	(	-LRB-
cord-333088-ygdau2px	170	10	Fig	Fig	NNP
cord-333088-ygdau2px	170	11	.	.	.
cord-333088-ygdau2px	170	12	4C	4c	LS
cord-333088-ygdau2px	170	13	)	)	-RRB-
cord-333088-ygdau2px	170	14	is	be	VBZ
cord-333088-ygdau2px	170	15	due	due	JJ
cord-333088-ygdau2px	170	16	to	to	IN
cord-333088-ygdau2px	170	17	the	the	DT
cord-333088-ygdau2px	170	18	fact	fact	NN
cord-333088-ygdau2px	170	19	that	that	IN
cord-333088-ygdau2px	170	20	the	the	DT
cord-333088-ygdau2px	170	21	mean	mean	JJ
cord-333088-ygdau2px	170	22	-	-	HYPH
cord-333088-ygdau2px	170	23	field	field	NN
cord-333088-ygdau2px	170	24	model	model	NN
cord-333088-ygdau2px	170	25	gives	give	VBZ
cord-333088-ygdau2px	170	26	only	only	RB
cord-333088-ygdau2px	170	27	an	an	DT
cord-333088-ygdau2px	170	28	approximate	approximate	JJ
cord-333088-ygdau2px	170	29	description	description	NN
cord-333088-ygdau2px	170	30	of	of	IN
cord-333088-ygdau2px	170	31	the	the	DT
cord-333088-ygdau2px	170	32	random	random	JJ
cord-333088-ygdau2px	170	33	network	network	NN
cord-333088-ygdau2px	170	34	with	with	IN
cord-333088-ygdau2px	170	35	f	f	NNP
cord-333088-ygdau2px	170	36	=	=	SYM
cord-333088-ygdau2px	170	37	1	1	CD
cord-333088-ygdau2px	170	38	as	as	IN
cord-333088-ygdau2px	170	39	noted	note	VBN
cord-333088-ygdau2px	170	40	before	before	RB
cord-333088-ygdau2px	170	41	.	.	.
cord-333088-ygdau2px	171	1	At	at	IN
cord-333088-ygdau2px	171	2	the	the	DT
cord-333088-ygdau2px	171	3	other	other	JJ
cord-333088-ygdau2px	171	4	extreme	extreme	NN
cord-333088-ygdau2px	171	5	,	,	,
cord-333088-ygdau2px	171	6	for	for	IN
cord-333088-ygdau2px	171	7	a	a	DT
cord-333088-ygdau2px	171	8	regular	regular	JJ
cord-333088-ygdau2px	171	9	grid	grid	NN
cord-333088-ygdau2px	171	10	the	the	DT
cord-333088-ygdau2px	171	11	estimates	estimate	NNS
cord-333088-ygdau2px	171	12	of	of	IN
cord-333088-ygdau2px	171	13	the	the	DT
cord-333088-ygdau2px	171	14	full	full	JJ
cord-333088-ygdau2px	171	15	and	and	CC
cord-333088-ygdau2px	171	16	restricted	restricted	JJ
cord-333088-ygdau2px	171	17	HM	HM	NNP
cord-333088-ygdau2px	171	18	models	model	NNS
cord-333088-ygdau2px	171	19	are	be	VBP
cord-333088-ygdau2px	171	20	[	[	-LRB-
cord-333088-ygdau2px	171	21	k	k	NNP
cord-333088-ygdau2px	171	22	,	,	,
cord-333088-ygdau2px	171	23	p	p	NNP
cord-333088-ygdau2px	171	24	,	,	,
cord-333088-ygdau2px	171	25	q	q	NNP
cord-333088-ygdau2px	171	26	]	]	-RRB-
cord-333088-ygdau2px	171	27	=	=	NFP
cord-333088-ygdau2px	172	1	[	[	-LRB-
cord-333088-ygdau2px	172	2	1.66	1.66	CD
cord-333088-ygdau2px	172	3	,	,	,
cord-333088-ygdau2px	172	4	0.3	0.3	CD
cord-333088-ygdau2px	172	5	,	,	,
cord-333088-ygdau2px	172	6	0.69	0.69	CD
cord-333088-ygdau2px	172	7	]	]	-RRB-
cord-333088-ygdau2px	172	8	and	and	CC
cord-333088-ygdau2px	172	9	[	[	-LRB-
cord-333088-ygdau2px	172	10	n	n	NN
cord-333088-ygdau2px	172	11	0	0	CD
cord-333088-ygdau2px	172	12	/N	/N	NNP
cord-333088-ygdau2px	172	13	,	,	,
cord-333088-ygdau2px	172	14	p	p	NN
cord-333088-ygdau2px	172	15	r	r	NN
cord-333088-ygdau2px	172	16	,	,	,
cord-333088-ygdau2px	172	17	q	q	NNP
cord-333088-ygdau2px	172	18	r	r	NNP
cord-333088-ygdau2px	172	19	]	]	-RRB-
cord-333088-ygdau2px	172	20	=	=	NFP
cord-333088-ygdau2px	172	21	[	[	-LRB-
cord-333088-ygdau2px	172	22	0.00005	0.00005	CD
cord-333088-ygdau2px	172	23	,	,	,
cord-333088-ygdau2px	172	24	0.84	0.84	CD
cord-333088-ygdau2px	172	25	,	,	,
cord-333088-ygdau2px	172	26	1.13	1.13	CD
cord-333088-ygdau2px	172	27	]	]	-RRB-
cord-333088-ygdau2px	172	28	,	,	,
cord-333088-ygdau2px	172	29	which	which	WDT
cord-333088-ygdau2px	172	30	differ	differ	VBP
cord-333088-ygdau2px	172	31	considerably	considerably	RB
cord-333088-ygdau2px	172	32	from	from	IN
cord-333088-ygdau2px	172	33	each	each	DT
cord-333088-ygdau2px	172	34	other	other	JJ
cord-333088-ygdau2px	172	35	.	.	.
cord-333088-ygdau2px	173	1	Fig	Fig	NNP
cord-333088-ygdau2px	173	2	.	.	.
cord-333088-ygdau2px	174	1	5A	5a	NN
cord-333088-ygdau2px	174	2	and	and	CC
cord-333088-ygdau2px	174	3	B	B	NNP
cord-333088-ygdau2px	174	4	demonstrate	demonstrate	VB
cord-333088-ygdau2px	174	5	how	how	WRB
cord-333088-ygdau2px	174	6	the	the	DT
cord-333088-ygdau2px	174	7	parameters	parameter	NNS
cord-333088-ygdau2px	174	8	k	k	NN
cord-333088-ygdau2px	174	9	,	,	,
cord-333088-ygdau2px	174	10	p	p	NNP
cord-333088-ygdau2px	174	11	and	and	CC
cord-333088-ygdau2px	174	12	q	q	NN
cord-333088-ygdau2px	174	13	of	of	IN
cord-333088-ygdau2px	174	14	the	the	DT
cord-333088-ygdau2px	174	15	full	full	JJ
cord-333088-ygdau2px	174	16	HM	HM	NNP
cord-333088-ygdau2px	174	17	model	model	NN
cord-333088-ygdau2px	174	18	depend	depend	VB
cord-333088-ygdau2px	174	19	on	on	IN
cord-333088-ygdau2px	174	20	the	the	DT
cord-333088-ygdau2px	174	21	short	short	RB
cord-333088-ygdau2px	174	22	-	-	HYPH
cord-333088-ygdau2px	174	23	cut	cut	NN
cord-333088-ygdau2px	174	24	parameter	parameter	NN
cord-333088-ygdau2px	175	1	f.	f.	NNP
cord-333088-ygdau2px	176	1	All	all	DT
cord-333088-ygdau2px	176	2	three	three	CD
cord-333088-ygdau2px	176	3	of	of	IN
cord-333088-ygdau2px	176	4	them	-PRON-	PRP
cord-333088-ygdau2px	176	5	approach	approach	VBP
cord-333088-ygdau2px	176	6	their	-PRON-	PRP$
cord-333088-ygdau2px	176	7	respective	respective	JJ
cord-333088-ygdau2px	176	8	well	well	RB
cord-333088-ygdau2px	176	9	-	-	HYPH
cord-333088-ygdau2px	176	10	mixed	mix	VBN
cord-333088-ygdau2px	176	11	values	value	NNS
cord-333088-ygdau2px	176	12	(	(	-LRB-
cord-333088-ygdau2px	177	1	k	k	NNP
cord-333088-ygdau2px	177	2	=	=	SYM
cord-333088-ygdau2px	177	3	0.00005	0.00005	CD
cord-333088-ygdau2px	177	4	,	,	,
cord-333088-ygdau2px	177	5	p	p	NN
cord-333088-ygdau2px	177	6	=	=	SYM
cord-333088-ygdau2px	177	7	q	q	NN
cord-333088-ygdau2px	177	8	=	=	NN
cord-333088-ygdau2px	177	9	1	1	CD
cord-333088-ygdau2px	177	10	)	)	-RRB-
cord-333088-ygdau2px	177	11	as	as	IN
cord-333088-ygdau2px	177	12	f	f	NNP
cord-333088-ygdau2px	177	13	!	!	NNP
cord-333088-ygdau2px	177	14	1	1	CD
cord-333088-ygdau2px	177	15	,	,	,
cord-333088-ygdau2px	177	16	and	and	CC
cord-333088-ygdau2px	177	17	they	-PRON-	PRP
cord-333088-ygdau2px	177	18	deviate	deviate	VBP
cord-333088-ygdau2px	177	19	the	the	DT
cord-333088-ygdau2px	177	20	most	most	JJS
cord-333088-ygdau2px	177	21	as	as	IN
cord-333088-ygdau2px	177	22	f	f	NNP
cord-333088-ygdau2px	177	23	!	!	NNP
cord-333088-ygdau2px	177	24	0	0	NFP
cord-333088-ygdau2px	177	25	,	,	,
cord-333088-ygdau2px	177	26	in	in	IN
cord-333088-ygdau2px	177	27	accord	accord	NN
cord-333088-ygdau2px	177	28	with	with	IN
cord-333088-ygdau2px	177	29	the	the	DT
cord-333088-ygdau2px	177	30	earlier	early	JJR
cord-333088-ygdau2px	177	31	discussion	discussion	NN
cord-333088-ygdau2px	177	32	.	.	.
cord-333088-ygdau2px	178	1	In	in	IN
cord-333088-ygdau2px	178	2	particular	particular	JJ
cord-333088-ygdau2px	178	3	,	,	,
cord-333088-ygdau2px	178	4	k	k	NNP
cord-333088-ygdau2px	178	5	is	be	VBZ
cord-333088-ygdau2px	178	6	significantly	significantly	RB
cord-333088-ygdau2px	178	7	higher	high	JJR
cord-333088-ygdau2px	178	8	,	,	,
cord-333088-ygdau2px	178	9	and	and	CC
cord-333088-ygdau2px	178	10	likewise	likewise	RB
cord-333088-ygdau2px	178	11	p	p	NN
cord-333088-ygdau2px	178	12	and	and	CC
cord-333088-ygdau2px	178	13	q	q	NNP
cord-333088-ygdau2px	178	14	are	be	VBP
cord-333088-ygdau2px	178	15	lower	low	JJR
cord-333088-ygdau2px	178	16	,	,	,
cord-333088-ygdau2px	178	17	for	for	IN
cord-333088-ygdau2px	178	18	the	the	DT
cord-333088-ygdau2px	178	19	regular	regular	JJ
cord-333088-ygdau2px	178	20	grid	grid	NN
cord-333088-ygdau2px	178	21	than	than	IN
cord-333088-ygdau2px	178	22	a	a	DT
cord-333088-ygdau2px	178	23	well	well	RB
cord-333088-ygdau2px	178	24	-	-	HYPH
cord-333088-ygdau2px	178	25	mixed	mix	VBN
cord-333088-ygdau2px	178	26	system	system	NN
cord-333088-ygdau2px	178	27	,	,	,
cord-333088-ygdau2px	178	28	implying	imply	VBG
cord-333088-ygdau2px	178	29	a	a	DT
cord-333088-ygdau2px	178	30	strong	strong	JJ
cord-333088-ygdau2px	178	31	nonlinearity	nonlinearity	NN
cord-333088-ygdau2px	178	32	of	of	IN
cord-333088-ygdau2px	178	33	the	the	DT
cord-333088-ygdau2px	178	34	transmission	transmission	NN
cord-333088-ygdau2px	178	35	mechanism	mechanism	NN
cord-333088-ygdau2px	178	36	in	in	IN
cord-333088-ygdau2px	178	37	a	a	DT
cord-333088-ygdau2px	178	38	clustered	clustered	JJ
cord-333088-ygdau2px	178	39	network	network	NN
cord-333088-ygdau2px	178	40	.	.	.
cord-333088-ygdau2px	179	1	Such	such	PDT
cord-333088-ygdau2px	179	2	a	a	DT
cord-333088-ygdau2px	179	3	large	large	JJ
cord-333088-ygdau2px	179	4	value	value	NN
cord-333088-ygdau2px	179	5	of	of	IN
cord-333088-ygdau2px	179	6	k	k	NN
cord-333088-ygdau2px	179	7	can	can	MD
cord-333088-ygdau2px	179	8	be	be	VB
cord-333088-ygdau2px	179	9	understood	understand	VBN
cord-333088-ygdau2px	179	10	within	within	IN
cord-333088-ygdau2px	179	11	the	the	DT
cord-333088-ygdau2px	179	12	context	context	NN
cord-333088-ygdau2px	179	13	of	of	IN
cord-333088-ygdau2px	179	14	the	the	DT
cord-333088-ygdau2px	179	15	incidence	incidence	NN
cord-333088-ygdau2px	179	16	function	function	NN
cord-333088-ygdau2px	179	17	kS	ks	ADD
cord-333088-ygdau2px	180	1	p	p	NN
cord-333088-ygdau2px	180	2	I	-PRON-	PRP
cord-333088-ygdau2px	180	3	q	q	NNP
cord-333088-ygdau2px	180	4	,	,	,
cord-333088-ygdau2px	180	5	and	and	CC
cord-333088-ygdau2px	180	6	explains	explain	VBZ
cord-333088-ygdau2px	180	7	why	why	WRB
cord-333088-ygdau2px	180	8	only	only	RB
cord-333088-ygdau2px	180	9	two	two	CD
cord-333088-ygdau2px	180	10	parameters	parameter	NNS
cord-333088-ygdau2px	180	11	,	,	,
cord-333088-ygdau2px	180	12	p	p	NN
cord-333088-ygdau2px	180	13	r	r	NN
cord-333088-ygdau2px	180	14	and	and	CC
cord-333088-ygdau2px	180	15	q	q	NNP
cord-333088-ygdau2px	180	16	r	r	NNP
cord-333088-ygdau2px	180	17	in	in	IN
cord-333088-ygdau2px	180	18	the	the	DT
cord-333088-ygdau2px	180	19	restricted	restricted	JJ
cord-333088-ygdau2px	180	20	HM	HM	NNP
cord-333088-ygdau2px	180	21	model	model	NN
cord-333088-ygdau2px	180	22	,	,	,
cord-333088-ygdau2px	180	23	can	can	MD
cord-333088-ygdau2px	180	24	not	not	RB
cord-333088-ygdau2px	180	25	absorb	absorb	VB
cord-333088-ygdau2px	180	26	the	the	DT
cord-333088-ygdau2px	180	27	contribution	contribution	NN
cord-333088-ygdau2px	180	28	of	of	IN
cord-333088-ygdau2px	180	29	k.	k.	NNP
cord-333088-ygdau2px	181	1	In	in	IN
cord-333088-ygdau2px	181	2	a	a	DT
cord-333088-ygdau2px	181	3	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	181	4	random	random	JJ
cord-333088-ygdau2px	181	5	network	network	NN
cord-333088-ygdau2px	181	6	with	with	IN
cord-333088-ygdau2px	181	7	n	n	NN
cord-333088-ygdau2px	181	8	0	0	CD
cord-333088-ygdau2px	181	9	connections	connection	NNS
cord-333088-ygdau2px	181	10	per	per	IN
cord-333088-ygdau2px	181	11	individual	individual	NN
cord-333088-ygdau2px	181	12	,	,	,
cord-333088-ygdau2px	181	13	the	the	DT
cord-333088-ygdau2px	181	14	term	term	NN
cord-333088-ygdau2px	181	15	(	(	-LRB-
cord-333088-ygdau2px	181	16	n	n	NN
cord-333088-ygdau2px	181	17	0	0	CD
cord-333088-ygdau2px	181	18	/N)SI	/N)SI	.
cord-333088-ygdau2px	181	19	gives	give	VBZ
cord-333088-ygdau2px	181	20	the	the	DT
cord-333088-ygdau2px	181	21	expected	expect	VBN
cord-333088-ygdau2px	181	22	total	total	JJ
cord-333088-ygdau2px	181	23	number	number	NN
cord-333088-ygdau2px	181	24	of	of	IN
cord-333088-ygdau2px	181	25	pairs	pair	NNS
cord-333088-ygdau2px	181	26	[	[	-LRB-
cord-333088-ygdau2px	181	27	SI	si	NN
cord-333088-ygdau2px	181	28	]	]	-RRB-
cord-333088-ygdau2px	181	29	that	that	WDT
cord-333088-ygdau2px	181	30	govern	govern	VBP
cord-333088-ygdau2px	181	31	disease	disease	NN
cord-333088-ygdau2px	181	32	transmission	transmission	NN
cord-333088-ygdau2px	181	33	in	in	IN
cord-333088-ygdau2px	181	34	the	the	DT
cord-333088-ygdau2px	181	35	network	network	NN
cord-333088-ygdau2px	181	36	,	,	,
cord-333088-ygdau2px	181	37	and	and	CC
cord-333088-ygdau2px	181	38	the	the	DT
cord-333088-ygdau2px	181	39	exponent	exponent	NN
cord-333088-ygdau2px	181	40	values	value	NNS
cord-333088-ygdau2px	181	41	p	p	NN
cord-333088-ygdau2px	181	42	=	=	NN
cord-333088-ygdau2px	181	43	q	q	NN
cord-333088-ygdau2px	181	44	=	=	SYM
cord-333088-ygdau2px	181	45	1	1	CD
cord-333088-ygdau2px	181	46	indicate	indicate	VBP
cord-333088-ygdau2px	181	47	random	random	JJ
cord-333088-ygdau2px	181	48	mixing	mixing	NN
cord-333088-ygdau2px	181	49	(	(	-LRB-
cord-333088-ygdau2px	181	50	of	of	IN
cord-333088-ygdau2px	181	51	susceptible	susceptible	JJ
cord-333088-ygdau2px	181	52	and	and	CC
cord-333088-ygdau2px	181	53	infective	infective	JJ
cord-333088-ygdau2px	181	54	individuals	individual	NNS
cord-333088-ygdau2px	181	55	)	)	-RRB-
cord-333088-ygdau2px	181	56	.	.	.
cord-333088-ygdau2px	182	1	By	by	IN
cord-333088-ygdau2px	182	2	contrast	contrast	NN
cord-333088-ygdau2px	182	3	,	,	,
cord-333088-ygdau2px	182	4	local	local	JJ
cord-333088-ygdau2px	182	5	interactions	interaction	NNS
cord-333088-ygdau2px	182	6	in	in	IN
cord-333088-ygdau2px	182	7	a	a	DT
cord-333088-ygdau2px	182	8	clustered	clustered	JJ
cord-333088-ygdau2px	182	9	network	network	NN
cord-333088-ygdau2px	182	10	lower	lower	RBR
cord-333088-ygdau2px	182	11	the	the	DT
cord-333088-ygdau2px	182	12	availability	availability	NN
cord-333088-ygdau2px	182	13	of	of	IN
cord-333088-ygdau2px	182	14	susceptible	susceptible	JJ
cord-333088-ygdau2px	182	15	individuals	individual	NNS
cord-333088-ygdau2px	182	16	(	(	-LRB-
cord-333088-ygdau2px	182	17	infected	infected	JJ
cord-333088-ygdau2px	182	18	neighbors	neighbor	NNS
cord-333088-ygdau2px	182	19	of	of	IN
cord-333088-ygdau2px	182	20	an	an	DT
cord-333088-ygdau2px	182	21	infective	infective	JJ
cord-333088-ygdau2px	182	22	individual	individual	JJ
cord-333088-ygdau2px	182	23	act	act	NN
cord-333088-ygdau2px	182	24	as	as	IN
cord-333088-ygdau2px	182	25	a	a	DT
cord-333088-ygdau2px	182	26	barrier	barrier	NN
cord-333088-ygdau2px	182	27	to	to	IN
cord-333088-ygdau2px	182	28	disease	disease	NNP
cord-333088-ygdau2px	182	29	spread	spread	VB
cord-333088-ygdau2px	182	30	)	)	-RRB-
cord-333088-ygdau2px	182	31	,	,	,
cord-333088-ygdau2px	182	32	resulting	result	VBG
cord-333088-ygdau2px	182	33	in	in	IN
cord-333088-ygdau2px	182	34	a	a	DT
cord-333088-ygdau2px	182	35	depressed	depressed	JJ
cord-333088-ygdau2px	182	36	value	value	NN
cord-333088-ygdau2px	182	37	of	of	IN
cord-333088-ygdau2px	182	38	the	the	DT
cord-333088-ygdau2px	182	39	exponent	exponent	NN
cord-333088-ygdau2px	182	40	p	p	NN
cord-333088-ygdau2px	182	41	significantly	significantly	RB
cord-333088-ygdau2px	182	42	below	below	IN
cord-333088-ygdau2px	182	43	1	1	CD
cord-333088-ygdau2px	182	44	.	.	.
cord-333088-ygdau2px	183	1	This	this	DT
cord-333088-ygdau2px	183	2	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	183	3	effect	effect	NN
cord-333088-ygdau2px	183	4	,	,	,
cord-333088-ygdau2px	183	5	combined	combine	VBN
cord-333088-ygdau2px	183	6	with	with	IN
cord-333088-ygdau2px	183	7	a	a	DT
cord-333088-ygdau2px	183	8	low	low	JJ
cord-333088-ygdau2px	183	9	initial	initial	JJ
cord-333088-ygdau2px	183	10	infective	infective	JJ
cord-333088-ygdau2px	183	11	number	number	NN
cord-333088-ygdau2px	184	1	I	-PRON-	PRP
cord-333088-ygdau2px	184	2	0	0	CD
cord-333088-ygdau2px	184	3	(	(	-LRB-
cord-333088-ygdau2px	184	4	0.5	0.5	CD
cord-333088-ygdau2px	184	5	%	%	NN
cord-333088-ygdau2px	184	6	of	of	IN
cord-333088-ygdau2px	184	7	the	the	DT
cord-333088-ygdau2px	184	8	total	total	JJ
cord-333088-ygdau2px	184	9	population	population	NN
cord-333088-ygdau2px	184	10	randomly	randomly	RB
cord-333088-ygdau2px	184	11	infected	infect	VBD
cord-333088-ygdau2px	184	12	)	)	-RRB-
cord-333088-ygdau2px	184	13	requires	require	VBZ
cord-333088-ygdau2px	184	14	k	k	NN
cord-333088-ygdau2px	184	15	in	in	IN
cord-333088-ygdau2px	184	16	the	the	DT
cord-333088-ygdau2px	184	17	HM	HM	NNP
cord-333088-ygdau2px	184	18	model	model	NN
cord-333088-ygdau2px	184	19	to	to	TO
cord-333088-ygdau2px	184	20	be	be	VB
cord-333088-ygdau2px	184	21	large	large	JJ
cord-333088-ygdau2px	184	22	enough	enough	RB
cord-333088-ygdau2px	184	23	to	to	TO
cord-333088-ygdau2px	184	24	match	match	VB
cord-333088-ygdau2px	184	25	the	the	DT
cord-333088-ygdau2px	184	26	disease	disease	NN
cord-333088-ygdau2px	184	27	transmission	transmission	NN
cord-333088-ygdau2px	184	28	in	in	IN
cord-333088-ygdau2px	184	29	the	the	DT
cord-333088-ygdau2px	184	30	network	network	NN
cord-333088-ygdau2px	184	31	.	.	.
cord-333088-ygdau2px	185	1	Indeed	indeed	RB
cord-333088-ygdau2px	185	2	,	,	,
cord-333088-ygdau2px	185	3	as	as	IN
cord-333088-ygdau2px	185	4	Table	table	NN
cord-333088-ygdau2px	185	5	1	1	CD
cord-333088-ygdau2px	185	6	demonstrates	demonstrate	VBZ
cord-333088-ygdau2px	185	7	,	,	,
cord-333088-ygdau2px	185	8	both	both	CC
cord-333088-ygdau2px	185	9	k	k	NN
cord-333088-ygdau2px	185	10	and	and	CC
cord-333088-ygdau2px	185	11	p	p	NNP
cord-333088-ygdau2px	185	12	are	be	VBP
cord-333088-ygdau2px	185	13	quite	quite	RB
cord-333088-ygdau2px	185	14	sensitive	sensitive	JJ
cord-333088-ygdau2px	185	15	to	to	IN
cord-333088-ygdau2px	185	16	I	-PRON-	PRP
cord-333088-ygdau2px	185	17	0	0	CD
cord-333088-ygdau2px	185	18	for	for	IN
cord-333088-ygdau2px	185	19	a	a	DT
cord-333088-ygdau2px	185	20	regular	regular	JJ
cord-333088-ygdau2px	185	21	grid	grid	NN
cord-333088-ygdau2px	185	22	,	,	,
cord-333088-ygdau2px	185	23	unlike	unlike	IN
cord-333088-ygdau2px	185	24	the	the	DT
cord-333088-ygdau2px	185	25	other	other	JJ
cord-333088-ygdau2px	185	26	exponent	exponent	NN
cord-333088-ygdau2px	185	27	q	q	NNP
cord-333088-ygdau2px	185	28	that	that	WDT
cord-333088-ygdau2px	185	29	does	do	VBZ
cord-333088-ygdau2px	185	30	not	not	RB
cord-333088-ygdau2px	185	31	5	5	CD
cord-333088-ygdau2px	185	32	)	)	-RRB-
cord-333088-ygdau2px	185	33	)	)	-RRB-
cord-333088-ygdau2px	185	34	is	be	VBZ
cord-333088-ygdau2px	185	35	plotted	plot	VBN
cord-333088-ygdau2px	185	36	against	against	IN
cord-333088-ygdau2px	185	37	f	f	NNP
cord-333088-ygdau2px	185	38	for	for	IN
cord-333088-ygdau2px	185	39	the	the	DT
cord-333088-ygdau2px	185	40	three	three	CD
cord-333088-ygdau2px	185	41	epidemic	epidemic	NN
cord-333088-ygdau2px	185	42	models	model	NNS
cord-333088-ygdau2px	185	43	.	.	.
cord-333088-ygdau2px	186	1	depend	depend	VB
cord-333088-ygdau2px	186	2	on	on	IN
cord-333088-ygdau2px	186	3	initial	initial	JJ
cord-333088-ygdau2px	186	4	conditions	condition	NNS
cord-333088-ygdau2px	186	5	.	.	.
cord-333088-ygdau2px	187	1	Increasing	increase	VBG
cord-333088-ygdau2px	187	2	I	-PRON-	PRP
cord-333088-ygdau2px	187	3	0	0	CD
cord-333088-ygdau2px	187	4	facilitates	facilitate	VBZ
cord-333088-ygdau2px	187	5	disease	disease	NN
cord-333088-ygdau2px	187	6	growth	growth	NN
cord-333088-ygdau2px	187	7	by	by	IN
cord-333088-ygdau2px	187	8	distributing	distribute	VBG
cord-333088-ygdau2px	187	9	infective	infective	JJ
cord-333088-ygdau2px	187	10	and	and	CC
cord-333088-ygdau2px	187	11	susceptible	susceptible	JJ
cord-333088-ygdau2px	187	12	individuals	individual	NNS
cord-333088-ygdau2px	187	13	more	more	RBR
cord-333088-ygdau2px	187	14	evenly	evenly	RB
cord-333088-ygdau2px	187	15	,	,	,
cord-333088-ygdau2px	187	16	which	which	WDT
cord-333088-ygdau2px	187	17	causes	cause	VBZ
cord-333088-ygdau2px	187	18	an	an	DT
cord-333088-ygdau2px	187	19	increase	increase	NN
cord-333088-ygdau2px	187	20	of	of	IN
cord-333088-ygdau2px	187	21	the	the	DT
cord-333088-ygdau2px	187	22	value	value	NN
cord-333088-ygdau2px	187	23	of	of	IN
cord-333088-ygdau2px	187	24	p	p	NN
cord-333088-ygdau2px	187	25	and	and	CC
cord-333088-ygdau2px	187	26	a	a	DT
cord-333088-ygdau2px	187	27	compensatory	compensatory	JJ
cord-333088-ygdau2px	187	28	reduction	reduction	NN
cord-333088-ygdau2px	187	29	of	of	IN
cord-333088-ygdau2px	187	30	k.	k.	NNP
cord-333088-ygdau2px	187	31	An	an	DT
cord-333088-ygdau2px	187	32	interesting	interesting	JJ
cord-333088-ygdau2px	187	33	pattern	pattern	NN
cord-333088-ygdau2px	187	34	in	in	IN
cord-333088-ygdau2px	187	35	Fig	Fig	NNP
cord-333088-ygdau2px	187	36	.	.	.
cord-333088-ygdau2px	188	1	5A	5a	NN
cord-333088-ygdau2px	188	2	and	and	CC
cord-333088-ygdau2px	188	3	B	B	NNP
cord-333088-ygdau2px	188	4	is	be	VBZ
cord-333088-ygdau2px	188	5	that	that	IN
cord-333088-ygdau2px	188	6	the	the	DT
cord-333088-ygdau2px	188	7	values	value	NNS
cord-333088-ygdau2px	188	8	of	of	IN
cord-333088-ygdau2px	188	9	the	the	DT
cord-333088-ygdau2px	188	10	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	188	11	parameters	parameter	NNS
cord-333088-ygdau2px	188	12	remain	remain	VBP
cord-333088-ygdau2px	188	13	fairly	fairly	RB
cord-333088-ygdau2px	188	14	constant	constant	JJ
cord-333088-ygdau2px	188	15	initially	initially	RB
cord-333088-ygdau2px	188	16	for	for	IN
cord-333088-ygdau2px	188	17	low	low	JJ
cord-333088-ygdau2px	188	18	f	f	NNP
cord-333088-ygdau2px	188	19	,	,	,
cord-333088-ygdau2px	188	20	in	in	IN
cord-333088-ygdau2px	188	21	particular	particular	JJ
cord-333088-ygdau2px	188	22	within	within	IN
cord-333088-ygdau2px	188	23	the	the	DT
cord-333088-ygdau2px	188	24	interval	interval	NN
cord-333088-ygdau2px	188	25	0	0	CD
cord-333088-ygdau2px	188	26	f	f	NN
cord-333088-ygdau2px	188	27	<	<	XX
cord-333088-ygdau2px	188	28	0.01	0.01	CD
cord-333088-ygdau2px	188	29	for	for	IN
cord-333088-ygdau2px	188	30	the	the	DT
cord-333088-ygdau2px	188	31	exponents	exponent	NNS
cord-333088-ygdau2px	188	32	p	p	NN
cord-333088-ygdau2px	188	33	and	and	CC
cord-333088-ygdau2px	188	34	q	q	NNP
cord-333088-ygdau2px	188	35	(	(	-LRB-
cord-333088-ygdau2px	188	36	the	the	DT
cord-333088-ygdau2px	188	37	range	range	NN
cord-333088-ygdau2px	188	38	is	be	VBZ
cord-333088-ygdau2px	188	39	somewhat	somewhat	RB
cord-333088-ygdau2px	188	40	shorter	short	JJR
cord-333088-ygdau2px	188	41	for	for	IN
cord-333088-ygdau2px	188	42	k	k	NNP
cord-333088-ygdau2px	188	43	)	)	-RRB-
cord-333088-ygdau2px	188	44	,	,	,
cord-333088-ygdau2px	188	45	and	and	CC
cord-333088-ygdau2px	188	46	then	then	RB
cord-333088-ygdau2px	188	47	start	start	VB
cord-333088-ygdau2px	188	48	approaching	approach	VBG
cord-333088-ygdau2px	188	49	respective	respective	JJ
cord-333088-ygdau2px	188	50	meanfield	meanfield	NN
cord-333088-ygdau2px	188	51	values	value	NNS
cord-333088-ygdau2px	188	52	as	as	IN
cord-333088-ygdau2px	188	53	f	f	NNP
cord-333088-ygdau2px	188	54	increases	increase	VBZ
cord-333088-ygdau2px	188	55	to	to	IN
cord-333088-ygdau2px	188	56	1	1	CD
cord-333088-ygdau2px	188	57	.	.	.
cord-333088-ygdau2px	189	1	This	this	DT
cord-333088-ygdau2px	189	2	pattern	pattern	NN
cord-333088-ygdau2px	189	3	of	of	IN
cord-333088-ygdau2px	189	4	variation	variation	NN
cord-333088-ygdau2px	189	5	is	be	VBZ
cord-333088-ygdau2px	189	6	reminiscent	reminiscent	JJ
cord-333088-ygdau2px	189	7	of	of	IN
cord-333088-ygdau2px	189	8	the	the	DT
cord-333088-ygdau2px	189	9	plot	plot	NN
cord-333088-ygdau2px	189	10	for	for	IN
cord-333088-ygdau2px	189	11	the	the	DT
cord-333088-ygdau2px	189	12	clustering	clustering	NN
cord-333088-ygdau2px	189	13	coefficient	coefficient	NN
cord-333088-ygdau2px	189	14	C	c	NN
cord-333088-ygdau2px	189	15	shown	show	VBN
cord-333088-ygdau2px	189	16	in	in	IN
cord-333088-ygdau2px	189	17	Fig	Fig	NNP
cord-333088-ygdau2px	189	18	.	.	.
cord-333088-ygdau2px	190	1	1D	1D	NNP
cord-333088-ygdau2px	190	2	,	,	,
cord-333088-ygdau2px	190	3	and	and	CC
cord-333088-ygdau2px	190	4	suggests	suggest	VBZ
cord-333088-ygdau2px	190	5	that	that	IN
cord-333088-ygdau2px	190	6	the	the	DT
cord-333088-ygdau2px	190	7	clustering	clustering	NN
cord-333088-ygdau2px	190	8	of	of	IN
cord-333088-ygdau2px	190	9	the	the	DT
cord-333088-ygdau2px	190	10	network	network	NN
cord-333088-ygdau2px	190	11	,	,	,
cord-333088-ygdau2px	190	12	rather	rather	RB
cord-333088-ygdau2px	190	13	than	than	IN
cord-333088-ygdau2px	190	14	its	-PRON-	PRP$
cord-333088-ygdau2px	190	15	average	average	JJ
cord-333088-ygdau2px	190	16	path	path	NN
cord-333088-ygdau2px	190	17	length	length	NN
cord-333088-ygdau2px	190	18	L	l	NN
cord-333088-ygdau2px	190	19	,	,	,
cord-333088-ygdau2px	190	20	influences	influence	VBZ
cord-333088-ygdau2px	190	21	disease	disease	NN
cord-333088-ygdau2px	190	22	transmission	transmission	NN
cord-333088-ygdau2px	190	23	strongly	strongly	RB
cord-333088-ygdau2px	190	24	.	.	.
cord-333088-ygdau2px	191	1	A	a	DT
cord-333088-ygdau2px	191	2	measure	measure	NN
cord-333088-ygdau2px	191	3	of	of	IN
cord-333088-ygdau2px	191	4	the	the	DT
cord-333088-ygdau2px	191	5	accuracy	accuracy	NN
cord-333088-ygdau2px	191	6	of	of	IN
cord-333088-ygdau2px	191	7	the	the	DT
cord-333088-ygdau2px	191	8	approximation	approximation	NN
cord-333088-ygdau2px	191	9	can	can	MD
cord-333088-ygdau2px	191	10	be	be	VB
cord-333088-ygdau2px	191	11	defined	define	VBN
cord-333088-ygdau2px	191	12	by	by	IN
cord-333088-ygdau2px	191	13	an	an	DT
cord-333088-ygdau2px	191	14	error	error	NN
cord-333088-ygdau2px	191	15	function	function	NN
cord-333088-ygdau2px	191	16	erf	erf	NNP
cord-333088-ygdau2px	191	17	,	,	,
cord-333088-ygdau2px	191	18	computed	compute	VBN
cord-333088-ygdau2px	191	19	as	as	IN
cord-333088-ygdau2px	191	20	a	a	DT
cord-333088-ygdau2px	191	21	mean	mean	NN
cord-333088-ygdau2px	191	22	of	of	IN
cord-333088-ygdau2px	191	23	the	the	DT
cord-333088-ygdau2px	191	24	point	point	NN
cord-333088-ygdau2px	191	25	-	-	HYPH
cord-333088-ygdau2px	191	26	by	by	IN
cord-333088-ygdau2px	191	27	-	-	HYPH
cord-333088-ygdau2px	191	28	point	point	NN
cord-333088-ygdau2px	191	29	deviation	deviation	NN
cord-333088-ygdau2px	191	30	of	of	IN
cord-333088-ygdau2px	191	31	the	the	DT
cord-333088-ygdau2px	191	32	infective	infective	JJ
cord-333088-ygdau2px	191	33	time	time	NN
cord-333088-ygdau2px	191	34	series	series	NN
cord-333088-ygdau2px	191	35	I	I	NNP
cord-333088-ygdau2px	191	36	m	m	VBP
cord-333088-ygdau2px	191	37	(	(	-LRB-
cord-333088-ygdau2px	191	38	t	t	NN
cord-333088-ygdau2px	191	39	)	)	-RRB-
cord-333088-ygdau2px	191	40	predicted	predict	VBD
cord-333088-ygdau2px	191	41	from	from	IN
cord-333088-ygdau2px	191	42	the	the	DT
cord-333088-ygdau2px	191	43	models	model	NNS
cord-333088-ygdau2px	191	44	,	,	,
cord-333088-ygdau2px	191	45	relative	relative	JJ
cord-333088-ygdau2px	191	46	to	to	IN
cord-333088-ygdau2px	191	47	the	the	DT
cord-333088-ygdau2px	191	48	stochastic	stochastic	JJ
cord-333088-ygdau2px	191	49	simulation	simulation	NN
cord-333088-ygdau2px	191	50	data	datum	NNS
cord-333088-ygdau2px	192	1	I	-PRON-	PRP
cord-333088-ygdau2px	192	2	s	s	VBZ
cord-333088-ygdau2px	192	3	(	(	-LRB-
cord-333088-ygdau2px	192	4	t	t	NN
cord-333088-ygdau2px	192	5	)	)	-RRB-
cord-333088-ygdau2px	192	6	,	,	.
cord-333088-ygdau2px	193	1	over	over	IN
cord-333088-ygdau2px	193	2	the	the	DT
cord-333088-ygdau2px	193	3	length	length	NN
cord-333088-ygdau2px	193	4	T	t	NN
cord-333088-ygdau2px	193	5	of	of	IN
cord-333088-ygdau2px	193	6	the	the	DT
cord-333088-ygdau2px	193	7	transient	transient	JJ
cord-333088-ygdau2px	193	8	(	(	-LRB-
cord-333088-ygdau2px	193	9	the	the	DT
cord-333088-ygdau2px	193	10	equilibrium	equilibrium	NN
cord-333088-ygdau2px	193	11	values	value	NNS
cord-333088-ygdau2px	193	12	of	of	IN
cord-333088-ygdau2px	193	13	the	the	DT
cord-333088-ygdau2px	193	14	models	model	NNS
cord-333088-ygdau2px	193	15	coincide	coincide	VBP
cord-333088-ygdau2px	193	16	with	with	IN
cord-333088-ygdau2px	193	17	the	the	DT
cord-333088-ygdau2px	193	18	simulation	simulation	NN
cord-333088-ygdau2px	193	19	,	,	,
cord-333088-ygdau2px	193	20	see	see	VB
cord-333088-ygdau2px	193	21	Fig	Fig	NNP
cord-333088-ygdau2px	193	22	.	.	.
cord-333088-ygdau2px	194	1	4	4	CD
cord-333088-ygdau2px	194	2	 	 	_SP
cord-333088-ygdau2px	195	1	(	(	-LRB-
cord-333088-ygdau2px	195	2	multiplication	multiplication	NN
cord-333088-ygdau2px	195	3	by	by	IN
cord-333088-ygdau2px	195	4	100	100	CD
cord-333088-ygdau2px	195	5	expresses	express	VBZ
cord-333088-ygdau2px	195	6	erf	erf	NN
cord-333088-ygdau2px	195	7	as	as	IN
cord-333088-ygdau2px	195	8	a	a	DT
cord-333088-ygdau2px	195	9	percentage	percentage	NN
cord-333088-ygdau2px	195	10	of	of	IN
cord-333088-ygdau2px	195	11	the	the	DT
cord-333088-ygdau2px	195	12	simulation	simulation	NN
cord-333088-ygdau2px	195	13	time	time	NN
cord-333088-ygdau2px	195	14	series	series	NNP
cord-333088-ygdau2px	195	15	)	)	-RRB-
cord-333088-ygdau2px	195	16	.	.	.
cord-333088-ygdau2px	196	1	Fig	Fig	NNP
cord-333088-ygdau2px	196	2	.	.	.
cord-333088-ygdau2px	197	1	5C	5C	NNP
cord-333088-ygdau2px	197	2	shows	show	VBZ
cord-333088-ygdau2px	197	3	erf	erf	NNP
cord-333088-ygdau2px	197	4	as	as	IN
cord-333088-ygdau2px	197	5	a	a	DT
cord-333088-ygdau2px	197	6	function	function	NN
cord-333088-ygdau2px	197	7	of	of	IN
cord-333088-ygdau2px	197	8	f	f	NNP
cord-333088-ygdau2px	197	9	for	for	IN
cord-333088-ygdau2px	197	10	the	the	DT
cord-333088-ygdau2px	197	11	three	three	CD
cord-333088-ygdau2px	197	12	models	model	NNS
cord-333088-ygdau2px	197	13	.	.	.
cord-333088-ygdau2px	198	1	The	the	DT
cord-333088-ygdau2px	198	2	total	total	JJ
cord-333088-ygdau2px	198	3	failure	failure	NN
cord-333088-ygdau2px	198	4	of	of	IN
cord-333088-ygdau2px	198	5	the	the	DT
cord-333088-ygdau2px	198	6	mean	mean	JJ
cord-333088-ygdau2px	198	7	-	-	HYPH
cord-333088-ygdau2px	198	8	field	field	NN
cord-333088-ygdau2px	198	9	approximation	approximation	NN
cord-333088-ygdau2px	198	10	to	to	TO
cord-333088-ygdau2px	198	11	predict	predict	VB
cord-333088-ygdau2px	198	12	the	the	DT
cord-333088-ygdau2px	198	13	stochastic	stochastic	JJ
cord-333088-ygdau2px	198	14	transients	transient	NNS
cord-333088-ygdau2px	198	15	is	be	VBZ
cord-333088-ygdau2px	198	16	evident	evident	JJ
cord-333088-ygdau2px	198	17	in	in	IN
cord-333088-ygdau2px	198	18	the	the	DT
cord-333088-ygdau2px	198	19	large	large	JJ
cord-333088-ygdau2px	198	20	magnitudes	magnitude	NNS
cord-333088-ygdau2px	198	21	of	of	IN
cord-333088-ygdau2px	198	22	error	error	NN
cord-333088-ygdau2px	198	23	(	(	-LRB-
cord-333088-ygdau2px	198	24	it	-PRON-	PRP
cord-333088-ygdau2px	198	25	is	be	VBZ
cord-333088-ygdau2px	198	26	25	25	CD
cord-333088-ygdau2px	198	27	%	%	NN
cord-333088-ygdau2px	198	28	even	even	RB
cord-333088-ygdau2px	198	29	for	for	IN
cord-333088-ygdau2px	198	30	the	the	DT
cord-333088-ygdau2px	198	31	random	random	JJ
cord-333088-ygdau2px	198	32	networks	network	NNS
cord-333088-ygdau2px	198	33	)	)	-RRB-
cord-333088-ygdau2px	198	34	.	.	.
cord-333088-ygdau2px	199	1	By	by	IN
cord-333088-ygdau2px	199	2	contrast	contrast	NN
cord-333088-ygdau2px	199	3	,	,	,
cord-333088-ygdau2px	199	4	the	the	DT
cord-333088-ygdau2px	199	5	excellent	excellent	JJ
cord-333088-ygdau2px	199	6	agreement	agreement	NN
cord-333088-ygdau2px	199	7	of	of	IN
cord-333088-ygdau2px	199	8	the	the	DT
cord-333088-ygdau2px	199	9	full	full	JJ
cord-333088-ygdau2px	199	10	HM	HM	NNP
cord-333088-ygdau2px	199	11	model	model	NN
cord-333088-ygdau2px	199	12	for	for	IN
cord-333088-ygdau2px	199	13	all	all	DT
cord-333088-ygdau2px	199	14	f	f	XX
cord-333088-ygdau2px	199	15	results	result	NNS
cord-333088-ygdau2px	199	16	in	in	IN
cord-333088-ygdau2px	199	17	a	a	DT
cord-333088-ygdau2px	199	18	low	low	JJ
cord-333088-ygdau2px	199	19	error	error	NN
cord-333088-ygdau2px	199	20	throughout	throughout	IN
cord-333088-ygdau2px	199	21	.	.	.
cord-333088-ygdau2px	200	1	On	on	IN
cord-333088-ygdau2px	200	2	the	the	DT
cord-333088-ygdau2px	200	3	other	other	JJ
cord-333088-ygdau2px	200	4	hand	hand	NN
cord-333088-ygdau2px	200	5	,	,	,
cord-333088-ygdau2px	200	6	the	the	DT
cord-333088-ygdau2px	200	7	restricted	restricted	JJ
cord-333088-ygdau2px	200	8	version	version	NN
cord-333088-ygdau2px	200	9	of	of	IN
cord-333088-ygdau2px	200	10	the	the	DT
cord-333088-ygdau2px	200	11	HM	HM	NNP
cord-333088-ygdau2px	200	12	model	model	NN
cord-333088-ygdau2px	200	13	gives	give	VBZ
cord-333088-ygdau2px	200	14	over	over	IN
cord-333088-ygdau2px	200	15	30	30	CD
cord-333088-ygdau2px	200	16	%	%	NN
cord-333088-ygdau2px	200	17	error	error	NN
cord-333088-ygdau2px	200	18	for	for	IN
cord-333088-ygdau2px	200	19	low	low	JJ
cord-333088-ygdau2px	200	20	f	f	NN
cord-333088-ygdau2px	200	21	whereas	whereas	IN
cord-333088-ygdau2px	200	22	it	-PRON-	PRP
cord-333088-ygdau2px	200	23	is	be	VBZ
cord-333088-ygdau2px	200	24	negligible	negligible	JJ
cord-333088-ygdau2px	200	25	for	for	IN
cord-333088-ygdau2px	200	26	high	high	JJ
cord-333088-ygdau2px	200	27	f.	f.	NN
cord-333088-ygdau2px	200	28	Interestingly	interestingly	RB
cord-333088-ygdau2px	200	29	,	,	,
cord-333088-ygdau2px	201	1	erf	erf	NNP
cord-333088-ygdau2px	201	2	for	for	IN
cord-333088-ygdau2px	201	3	the	the	DT
cord-333088-ygdau2px	201	4	restricted	restricted	JJ
cord-333088-ygdau2px	201	5	HM	HM	NNP
cord-333088-ygdau2px	201	6	and	and	CC
cord-333088-ygdau2px	201	7	mean	mean	JJ
cord-333088-ygdau2px	201	8	-	-	HYPH
cord-333088-ygdau2px	201	9	field	field	NN
cord-333088-ygdau2px	201	10	models	model	NNS
cord-333088-ygdau2px	201	11	show	show	VBP
cord-333088-ygdau2px	201	12	similar	similar	JJ
cord-333088-ygdau2px	201	13	patterns	pattern	NNS
cord-333088-ygdau2px	201	14	of	of	IN
cord-333088-ygdau2px	201	15	variation	variation	NN
cord-333088-ygdau2px	201	16	with	with	IN
cord-333088-ygdau2px	201	17	f	f	NNP
cord-333088-ygdau2px	201	18	as	as	IN
cord-333088-ygdau2px	201	19	in	in	IN
cord-333088-ygdau2px	201	20	Fig	Fig	NNP
cord-333088-ygdau2px	201	21	.	.	.
cord-333088-ygdau2px	202	1	5B	5B	NNP
cord-333088-ygdau2px	202	2	,	,	,
cord-333088-ygdau2px	202	3	staying	stay	VBG
cord-333088-ygdau2px	202	4	relatively	relatively	RB
cord-333088-ygdau2px	202	5	constant	constant	JJ
cord-333088-ygdau2px	202	6	within	within	IN
cord-333088-ygdau2px	202	7	0	0	CD
cord-333088-ygdau2px	202	8	f	f	NN
cord-333088-ygdau2px	202	9	<	<	XX
cord-333088-ygdau2px	202	10	0.01	0.01	CD
cord-333088-ygdau2px	202	11	and	and	CC
cord-333088-ygdau2px	202	12	then	then	RB
cord-333088-ygdau2px	202	13	decreasing	decrease	VBG
cord-333088-ygdau2px	202	14	relatively	relatively	RB
cord-333088-ygdau2px	202	15	fast	fast	RB
cord-333088-ygdau2px	202	16	.	.	.
cord-333088-ygdau2px	203	1	Local	local	JJ
cord-333088-ygdau2px	203	2	clustering	clustering	NN
cord-333088-ygdau2px	203	3	in	in	IN
cord-333088-ygdau2px	203	4	a	a	DT
cord-333088-ygdau2px	203	5	network	network	NN
cord-333088-ygdau2px	203	6	with	with	IN
cord-333088-ygdau2px	203	7	low	low	JJ
cord-333088-ygdau2px	203	8	f	f	XX
cord-333088-ygdau2px	203	9	causes	cause	VBZ
cord-333088-ygdau2px	203	10	disease	disease	NN
cord-333088-ygdau2px	203	11	transmission	transmission	NN
cord-333088-ygdau2px	203	12	to	to	TO
cord-333088-ygdau2px	203	13	deviate	deviate	VB
cord-333088-ygdau2px	203	14	from	from	IN
cord-333088-ygdau2px	203	15	a	a	DT
cord-333088-ygdau2px	203	16	well	well	RB
cord-333088-ygdau2px	203	17	-	-	HYPH
cord-333088-ygdau2px	203	18	mixed	mix	VBN
cord-333088-ygdau2px	203	19	approximation	approximation	NN
cord-333088-ygdau2px	203	20	,	,	,
cord-333088-ygdau2px	203	21	and	and	CC
cord-333088-ygdau2px	203	22	thus	thus	RB
cord-333088-ygdau2px	203	23	influences	influence	VBZ
cord-333088-ygdau2px	203	24	the	the	DT
cord-333088-ygdau2px	203	25	pattern	pattern	NN
cord-333088-ygdau2px	203	26	of	of	IN
cord-333088-ygdau2px	203	27	erf	erf	NN
cord-333088-ygdau2px	203	28	for	for	IN
cord-333088-ygdau2px	203	29	these	these	DT
cord-333088-ygdau2px	203	30	simpler	simple	JJR
cord-333088-ygdau2px	203	31	models	model	NNS
cord-333088-ygdau2px	203	32	.	.	.
cord-333088-ygdau2px	204	1	The	the	DT
cord-333088-ygdau2px	204	2	second	second	JJ
cord-333088-ygdau2px	204	3	type	type	NN
cord-333088-ygdau2px	204	4	of	of	IN
cord-333088-ygdau2px	204	5	dynamical	dynamical	JJ
cord-333088-ygdau2px	204	6	behavior	behavior	NN
cord-333088-ygdau2px	204	7	of	of	IN
cord-333088-ygdau2px	204	8	the	the	DT
cord-333088-ygdau2px	204	9	stochastic	stochastic	JJ
cord-333088-ygdau2px	204	10	system	system	NN
cord-333088-ygdau2px	204	11	exhibits	exhibit	VBZ
cord-333088-ygdau2px	204	12	a	a	DT
cord-333088-ygdau2px	204	13	relatively	relatively	RB
cord-333088-ygdau2px	204	14	long	long	RB
cord-333088-ygdau2px	204	15	oscillatory	oscillatory	JJ
cord-333088-ygdau2px	204	16	transient	transient	JJ
cord-333088-ygdau2px	204	17	that	that	WDT
cord-333088-ygdau2px	204	18	settles	settle	VBZ
cord-333088-ygdau2px	204	19	onto	onto	IN
cord-333088-ygdau2px	204	20	a	a	DT
cord-333088-ygdau2px	204	21	noisy	noisy	JJ
cord-333088-ygdau2px	204	22	endemic	endemic	JJ
cord-333088-ygdau2px	204	23	state	state	NN
cord-333088-ygdau2px	204	24	for	for	IN
cord-333088-ygdau2px	204	25	most	most	JJS
cord-333088-ygdau2px	204	26	values	value	NNS
cord-333088-ygdau2px	204	27	of	of	IN
cord-333088-ygdau2px	204	28	f	f	NNP
cord-333088-ygdau2px	204	29	,	,	,
cord-333088-ygdau2px	204	30	near	near	IN
cord-333088-ygdau2px	204	31	0	0	NFP
cord-333088-ygdau2px	204	32	as	as	RB
cord-333088-ygdau2px	204	33	well	well	RB
cord-333088-ygdau2px	204	34	as	as	IN
cord-333088-ygdau2px	204	35	above	above	JJ
cord-333088-ygdau2px	204	36	(	(	-LRB-
cord-333088-ygdau2px	204	37	Fig	fig	NN
cord-333088-ygdau2px	204	38	.	.	.
cord-333088-ygdau2px	204	39	3B	3B	NNP
cord-333088-ygdau2px	204	40	)	)	-RRB-
cord-333088-ygdau2px	204	41	.	.	.
cord-333088-ygdau2px	205	1	Stochastic	stochastic	JJ
cord-333088-ygdau2px	205	2	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	205	3	are	be	VBP
cord-333088-ygdau2px	205	4	stronger	strong	JJR
cord-333088-ygdau2px	205	5	for	for	IN
cord-333088-ygdau2px	205	6	f	f	NN
cord-333088-ygdau2px	205	7	=	=	SYM
cord-333088-ygdau2px	205	8	0	0	NFP
cord-333088-ygdau2px	205	9	than	than	IN
cord-333088-ygdau2px	205	10	f	f	NNP
cord-333088-ygdau2px	205	11	=	=	SYM
cord-333088-ygdau2px	205	12	1	1	CD
cord-333088-ygdau2px	205	13	.	.	.
cord-333088-ygdau2px	206	1	However	however	RB
cord-333088-ygdau2px	206	2	,	,	,
cord-333088-ygdau2px	206	3	in	in	IN
cord-333088-ygdau2px	206	4	a	a	DT
cord-333088-ygdau2px	206	5	significant	significant	JJ
cord-333088-ygdau2px	206	6	exception	exception	NN
cord-333088-ygdau2px	206	7	the	the	DT
cord-333088-ygdau2px	206	8	cycles	cycle	NNS
cord-333088-ygdau2px	206	9	tend	tend	VBP
cord-333088-ygdau2px	206	10	to	to	TO
cord-333088-ygdau2px	206	11	persist	persist	VB
cord-333088-ygdau2px	206	12	with	with	IN
cord-333088-ygdau2px	206	13	a	a	DT
cord-333088-ygdau2px	206	14	considerably	considerably	RB
cord-333088-ygdau2px	206	15	increased	increase	VBN
cord-333088-ygdau2px	206	16	amplitude	amplitude	NN
cord-333088-ygdau2px	206	17	and	and	CC
cord-333088-ygdau2px	206	18	well	well	RB
cord-333088-ygdau2px	206	19	defined	define	VBN
cord-333088-ygdau2px	206	20	period	period	NN
cord-333088-ygdau2px	206	21	for	for	IN
cord-333088-ygdau2px	206	22	a	a	DT
cord-333088-ygdau2px	206	23	narrow	narrow	JJ
cord-333088-ygdau2px	206	24	range	range	NN
cord-333088-ygdau2px	206	25	of	of	IN
cord-333088-ygdau2px	206	26	f	f	NNP
cord-333088-ygdau2px	206	27	near	near	IN
cord-333088-ygdau2px	206	28	0.01	0.01	CD
cord-333088-ygdau2px	206	29	,	,	,
cord-333088-ygdau2px	206	30	precisely	precisely	RB
cord-333088-ygdau2px	206	31	where	where	WRB
cord-333088-ygdau2px	206	32	the	the	DT
cord-333088-ygdau2px	206	33	small	small	JJ
cord-333088-ygdau2px	206	34	-	-	HYPH
cord-333088-ygdau2px	206	35	world	world	NN
cord-333088-ygdau2px	206	36	behavior	behavior	NN
cord-333088-ygdau2px	206	37	arises	arise	VBZ
cord-333088-ygdau2px	206	38	in	in	IN
cord-333088-ygdau2px	206	39	the	the	DT
cord-333088-ygdau2px	206	40	network	network	NN
cord-333088-ygdau2px	206	41	.	.	.
cord-333088-ygdau2px	207	1	Such	such	JJ
cord-333088-ygdau2px	207	2	persistent	persistent	JJ
cord-333088-ygdau2px	207	3	cycles	cycle	NNS
cord-333088-ygdau2px	207	4	are	be	VBP
cord-333088-ygdau2px	207	5	not	not	RB
cord-333088-ygdau2px	207	6	predicted	predict	VBN
cord-333088-ygdau2px	207	7	by	by	IN
cord-333088-ygdau2px	207	8	the	the	DT
cord-333088-ygdau2px	207	9	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	207	10	epidemic	epidemic	NN
cord-333088-ygdau2px	207	11	dynamics	dynamic	NNS
cord-333088-ygdau2px	207	12	given	give	VBN
cord-333088-ygdau2px	207	13	by	by	IN
cord-333088-ygdau2px	207	14	Eq	Eq	NNP
cord-333088-ygdau2px	207	15	.	.	.
cord-333088-ygdau2px	208	1	(	(	-LRB-
cord-333088-ygdau2px	208	2	4	4	LS
cord-333088-ygdau2px	208	3	)	)	-RRB-
cord-333088-ygdau2px	208	4	,	,	,
cord-333088-ygdau2px	208	5	and	and	CC
cord-333088-ygdau2px	208	6	are	be	VBP
cord-333088-ygdau2px	208	7	therefore	therefore	RB
cord-333088-ygdau2px	208	8	a	a	DT
cord-333088-ygdau2px	208	9	consequence	consequence	NN
cord-333088-ygdau2px	208	10	of	of	IN
cord-333088-ygdau2px	208	11	the	the	DT
cord-333088-ygdau2px	208	12	correlations	correlation	NNS
cord-333088-ygdau2px	208	13	generated	generate	VBN
cord-333088-ygdau2px	208	14	by	by	IN
cord-333088-ygdau2px	208	15	the	the	DT
cord-333088-ygdau2px	208	16	contact	contact	NN
cord-333088-ygdau2px	208	17	structure	structure	NN
cord-333088-ygdau2px	208	18	.	.	.
cord-333088-ygdau2px	209	1	To	to	IN
cord-333088-ygdau2px	209	2	our	-PRON-	PRP$
cord-333088-ygdau2px	209	3	knowledge	knowledge	NN
cord-333088-ygdau2px	209	4	such	such	JJ
cord-333088-ygdau2px	209	5	nonmonotonic	nonmonotonic	JJ
cord-333088-ygdau2px	209	6	pattern	pattern	NN
cord-333088-ygdau2px	209	7	for	for	IN
cord-333088-ygdau2px	209	8	the	the	DT
cord-333088-ygdau2px	209	9	amplitude	amplitude	NN
cord-333088-ygdau2px	209	10	of	of	IN
cord-333088-ygdau2px	209	11	the	the	DT
cord-333088-ygdau2px	209	12	cycles	cycle	NNS
cord-333088-ygdau2px	209	13	with	with	IN
cord-333088-ygdau2px	209	14	the	the	DT
cord-333088-ygdau2px	209	15	network	network	NN
cord-333088-ygdau2px	209	16	parameter	parameter	NN
cord-333088-ygdau2px	209	17	f	f	NNP
cord-333088-ygdau2px	209	18	has	have	VBZ
cord-333088-ygdau2px	209	19	not	not	RB
cord-333088-ygdau2px	209	20	been	be	VBN
cord-333088-ygdau2px	209	21	observed	observe	VBN
cord-333088-ygdau2px	209	22	before	before	RB
cord-333088-ygdau2px	209	23	(	(	-LRB-
cord-333088-ygdau2px	209	24	see	see	VB
cord-333088-ygdau2px	209	25	Section	section	NN
cord-333088-ygdau2px	209	26	5	5	CD
cord-333088-ygdau2px	209	27	for	for	IN
cord-333088-ygdau2px	209	28	a	a	DT
cord-333088-ygdau2px	209	29	comparison	comparison	NN
cord-333088-ygdau2px	209	30	of	of	IN
cord-333088-ygdau2px	209	31	these	these	DT
cord-333088-ygdau2px	209	32	results	result	NNS
cord-333088-ygdau2px	209	33	with	with	IN
cord-333088-ygdau2px	209	34	those	those	DT
cord-333088-ygdau2px	209	35	of	of	IN
cord-333088-ygdau2px	209	36	other	other	JJ
cord-333088-ygdau2px	209	37	studies	study	NNS
cord-333088-ygdau2px	209	38	)	)	-RRB-
cord-333088-ygdau2px	209	39	.	.	.
cord-333088-ygdau2px	210	1	We	-PRON-	PRP
cord-333088-ygdau2px	210	2	estimate	estimate	VBP
cord-333088-ygdau2px	210	3	two	two	CD
cord-333088-ygdau2px	210	4	quantities	quantity	NNS
cord-333088-ygdau2px	210	5	,	,	,
cord-333088-ygdau2px	210	6	the	the	DT
cord-333088-ygdau2px	210	7	'	'	``
cord-333088-ygdau2px	210	8	'	'	``
cord-333088-ygdau2px	210	9	coefficient	coefficient	NN
cord-333088-ygdau2px	210	10	of	of	IN
cord-333088-ygdau2px	210	11	variation	variation	NN
cord-333088-ygdau2px	210	12	'	'	''
cord-333088-ygdau2px	210	13	'	'	''
cord-333088-ygdau2px	210	14	(	(	-LRB-
cord-333088-ygdau2px	210	15	CV	CV	NNP
cord-333088-ygdau2px	210	16	)	)	-RRB-
cord-333088-ygdau2px	210	17	and	and	CC
cord-333088-ygdau2px	210	18	the	the	DT
cord-333088-ygdau2px	210	19	'	'	''
cord-333088-ygdau2px	210	20	'	'	''
cord-333088-ygdau2px	210	21	degree	degree	NN
cord-333088-ygdau2px	210	22	of	of	IN
cord-333088-ygdau2px	210	23	coherence	coherence	NN
cord-333088-ygdau2px	210	24	'	'	''
cord-333088-ygdau2px	210	25	'	'	''
cord-333088-ygdau2px	210	26	(	(	-LRB-
cord-333088-ygdau2px	210	27	DC	DC	NNP
cord-333088-ygdau2px	210	28	)	)	-RRB-
cord-333088-ygdau2px	210	29	,	,	,
cord-333088-ygdau2px	210	30	which	which	WDT
cord-333088-ygdau2px	210	31	determine	determine	VBP
cord-333088-ygdau2px	210	32	respectively	respectively	RB
cord-333088-ygdau2px	210	33	the	the	DT
cord-333088-ygdau2px	210	34	strength	strength	NN
cord-333088-ygdau2px	210	35	and	and	CC
cord-333088-ygdau2px	210	36	periodicity	periodicity	NN
cord-333088-ygdau2px	210	37	of	of	IN
cord-333088-ygdau2px	210	38	the	the	DT
cord-333088-ygdau2px	210	39	cycles	cycle	NNS
cord-333088-ygdau2px	210	40	for	for	IN
cord-333088-ygdau2px	210	41	different	different	JJ
cord-333088-ygdau2px	210	42	values	value	NNS
cord-333088-ygdau2px	210	43	of	of	IN
cord-333088-ygdau2px	210	44	f.	f.	NN
cord-333088-ygdau2px	210	45	CV	CV	NNP
cord-333088-ygdau2px	210	46	has	have	VBZ
cord-333088-ygdau2px	210	47	the	the	DT
cord-333088-ygdau2px	210	48	usual	usual	JJ
cord-333088-ygdau2px	210	49	definition	definition	NN
cord-333088-ygdau2px	210	50	where	where	WRB
cord-333088-ygdau2px	210	51	the	the	DT
cord-333088-ygdau2px	210	52	numerator	numerator	NN
cord-333088-ygdau2px	210	53	denotes	denote	VBZ
cord-333088-ygdau2px	210	54	the	the	DT
cord-333088-ygdau2px	210	55	standard	standard	JJ
cord-333088-ygdau2px	210	56	deviation	deviation	NN
cord-333088-ygdau2px	210	57	of	of	IN
cord-333088-ygdau2px	210	58	the	the	DT
cord-333088-ygdau2px	210	59	infective	infective	JJ
cord-333088-ygdau2px	210	60	time	time	NN
cord-333088-ygdau2px	210	61	series	series	NN
cord-333088-ygdau2px	210	62	of	of	IN
cord-333088-ygdau2px	210	63	length	length	NN
cord-333088-ygdau2px	210	64	T	T	NNP
cord-333088-ygdau2px	210	65	S	S	NNP
cord-333088-ygdau2px	210	66	(	(	-LRB-
cord-333088-ygdau2px	210	67	in	in	IN
cord-333088-ygdau2px	210	68	the	the	DT
cord-333088-ygdau2px	210	69	stationary	stationary	JJ
cord-333088-ygdau2px	210	70	state	state	NN
cord-333088-ygdau2px	210	71	excluding	exclude	VBG
cord-333088-ygdau2px	210	72	transients	transient	NNS
cord-333088-ygdau2px	210	73	)	)	-RRB-
cord-333088-ygdau2px	210	74	,	,	,
cord-333088-ygdau2px	210	75	and	and	CC
cord-333088-ygdau2px	210	76	the	the	DT
cord-333088-ygdau2px	210	77	denominator	denominator	NN
cord-333088-ygdau2px	210	78	denotes	denote	VBZ
cord-333088-ygdau2px	210	79	its	-PRON-	PRP$
cord-333088-ygdau2px	210	80	mean	mean	NN
cord-333088-ygdau2px	210	81	over	over	IN
cord-333088-ygdau2px	210	82	the	the	DT
cord-333088-ygdau2px	210	83	same	same	JJ
cord-333088-ygdau2px	210	84	time	time	NN
cord-333088-ygdau2px	210	85	length	length	NN
cord-333088-ygdau2px	210	86	T	T	NNP
cord-333088-ygdau2px	210	87	S	S	NNP
cord-333088-ygdau2px	210	88	.	.	.
cord-333088-ygdau2px	211	1	Fig	Fig	NNP
cord-333088-ygdau2px	211	2	.	.	.
cord-333088-ygdau2px	212	1	6A	6a	NN
cord-333088-ygdau2px	212	2	exhibits	exhibit	VBZ
cord-333088-ygdau2px	212	3	a	a	DT
cord-333088-ygdau2px	212	4	characteristic	characteristic	JJ
cord-333088-ygdau2px	212	5	peak	peak	NN
cord-333088-ygdau2px	212	6	for	for	IN
cord-333088-ygdau2px	212	7	CV	CV	NNP
cord-333088-ygdau2px	212	8	near	near	IN
cord-333088-ygdau2px	212	9	f	f	NNP
cord-333088-ygdau2px	212	10	=	=	SYM
cord-333088-ygdau2px	212	11	0.01	0.01	CD
cord-333088-ygdau2px	212	12	,	,	,
cord-333088-ygdau2px	212	13	demonstrating	demonstrate	VBG
cord-333088-ygdau2px	212	14	a	a	DT
cord-333088-ygdau2px	212	15	maximization	maximization	NN
cord-333088-ygdau2px	212	16	of	of	IN
cord-333088-ygdau2px	212	17	the	the	DT
cord-333088-ygdau2px	212	18	cycle	cycle	NN
cord-333088-ygdau2px	212	19	amplitudes	amplitude	NNS
cord-333088-ygdau2px	212	20	in	in	IN
cord-333088-ygdau2px	212	21	the	the	DT
cord-333088-ygdau2px	212	22	small	small	JJ
cord-333088-ygdau2px	212	23	-	-	HYPH
cord-333088-ygdau2px	212	24	world	world	NN
cord-333088-ygdau2px	212	25	region	region	NN
cord-333088-ygdau2px	212	26	compared	compare	VBN
cord-333088-ygdau2px	212	27	to	to	IN
cord-333088-ygdau2px	212	28	both	both	CC
cord-333088-ygdau2px	212	29	the	the	DT
cord-333088-ygdau2px	212	30	high	high	JJ
cord-333088-ygdau2px	212	31	and	and	CC
cord-333088-ygdau2px	212	32	low	low	JJ
cord-333088-ygdau2px	212	33	values	value	NNS
cord-333088-ygdau2px	212	34	of	of	IN
cord-333088-ygdau2px	212	35	f.	f.	NN
cord-333088-ygdau2px	213	1	The	the	DT
cord-333088-ygdau2px	213	2	plot	plot	NN
cord-333088-ygdau2px	213	3	also	also	RB
cord-333088-ygdau2px	213	4	shows	show	VBZ
cord-333088-ygdau2px	213	5	that	that	IN
cord-333088-ygdau2px	213	6	the	the	DT
cord-333088-ygdau2px	213	7	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	213	8	at	at	IN
cord-333088-ygdau2px	213	9	the	the	DT
cord-333088-ygdau2px	213	10	left	left	JJ
cord-333088-ygdau2px	213	11	side	side	NN
cord-333088-ygdau2px	213	12	tail	tail	NN
cord-333088-ygdau2px	213	13	of	of	IN
cord-333088-ygdau2px	213	14	the	the	DT
cord-333088-ygdau2px	213	15	peak	peak	NN
cord-333088-ygdau2px	213	16	are	be	VBP
cord-333088-ygdau2px	213	17	stronger	strong	JJR
cord-333088-ygdau2px	213	18	than	than	IN
cord-333088-ygdau2px	213	19	its	-PRON-	PRP$
cord-333088-ygdau2px	213	20	right	right	JJ
cord-333088-ygdau2px	213	21	side	side	NN
cord-333088-ygdau2px	213	22	tail	tail	NN
cord-333088-ygdau2px	213	23	.	.	.
cord-333088-ygdau2px	214	1	Consistent	consistent	JJ
cord-333088-ygdau2px	214	2	with	with	IN
cord-333088-ygdau2px	214	3	this	this	DT
cord-333088-ygdau2px	214	4	pattern	pattern	NN
cord-333088-ygdau2px	214	5	,	,	,
cord-333088-ygdau2px	214	6	sustained	sustained	JJ
cord-333088-ygdau2px	214	7	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	214	8	in	in	IN
cord-333088-ygdau2px	214	9	a	a	DT
cord-333088-ygdau2px	214	10	stochastic	stochastic	JJ
cord-333088-ygdau2px	214	11	SIRS	SIRS	NNP
cord-333088-ygdau2px	214	12	model	model	NN
cord-333088-ygdau2px	214	13	on	on	IN
cord-333088-ygdau2px	214	14	a	a	DT
cord-333088-ygdau2px	214	15	spatial	spatial	JJ
cord-333088-ygdau2px	214	16	grid	grid	NN
cord-333088-ygdau2px	214	17	(	(	-LRB-
cord-333088-ygdau2px	214	18	f	f	NN
cord-333088-ygdau2px	214	19	=	=	NN
cord-333088-ygdau2px	214	20	0	0	NFP
cord-333088-ygdau2px	214	21	)	)	-RRB-
cord-333088-ygdau2px	214	22	were	be	VBD
cord-333088-ygdau2px	214	23	also	also	RB
cord-333088-ygdau2px	214	24	shown	show	VBN
cord-333088-ygdau2px	214	25	by	by	IN
cord-333088-ygdau2px	214	26	Johansen	Johansen	NNP
cord-333088-ygdau2px	214	27	(	(	-LRB-
cord-333088-ygdau2px	214	28	1996	1996	CD
cord-333088-ygdau2px	214	29	)	)	-RRB-
cord-333088-ygdau2px	214	30	.	.	.
cord-333088-ygdau2px	215	1	By	by	IN
cord-333088-ygdau2px	215	2	contrast	contrast	NN
cord-333088-ygdau2px	215	3	,	,	,
cord-333088-ygdau2px	215	4	the	the	DT
cord-333088-ygdau2px	215	5	low	low	JJ
cord-333088-ygdau2px	215	6	variability	variability	NN
cord-333088-ygdau2px	215	7	in	in	IN
cord-333088-ygdau2px	215	8	the	the	DT
cord-333088-ygdau2px	215	9	random	random	JJ
cord-333088-ygdau2px	215	10	network	network	NN
cord-333088-ygdau2px	215	11	(	(	-LRB-
cord-333088-ygdau2px	215	12	f	f	NNP
cord-333088-ygdau2px	215	13	!	!	NNP
cord-333088-ygdau2px	215	14	1	1	CD
cord-333088-ygdau2px	215	15	)	)	-RRB-
cord-333088-ygdau2px	215	16	is	be	VBZ
cord-333088-ygdau2px	215	17	due	due	JJ
cord-333088-ygdau2px	215	18	to	to	IN
cord-333088-ygdau2px	215	19	the	the	DT
cord-333088-ygdau2px	215	20	fact	fact	NN
cord-333088-ygdau2px	215	21	that	that	IN
cord-333088-ygdau2px	215	22	the	the	DT
cord-333088-ygdau2px	215	23	corresponding	corresponding	JJ
cord-333088-ygdau2px	215	24	mean	mean	JJ
cord-333088-ygdau2px	215	25	-	-	HYPH
cord-333088-ygdau2px	215	26	field	field	NN
cord-333088-ygdau2px	215	27	model	model	NN
cord-333088-ygdau2px	215	28	(	(	-LRB-
cord-333088-ygdau2px	215	29	Eq	Eq	NNP
cord-333088-ygdau2px	215	30	.	.	.
cord-333088-ygdau2px	216	1	(	(	-LRB-
cord-333088-ygdau2px	216	2	4	4	LS
cord-333088-ygdau2px	216	3	)	)	-RRB-
cord-333088-ygdau2px	216	4	)	)	-RRB-
cord-333088-ygdau2px	216	5	does	do	VBZ
cord-333088-ygdau2px	216	6	not	not	RB
cord-333088-ygdau2px	216	7	have	have	VB
cord-333088-ygdau2px	216	8	oscillatory	oscillatory	JJ
cord-333088-ygdau2px	216	9	solutions	solution	NNS
cord-333088-ygdau2px	216	10	.	.	.
cord-333088-ygdau2px	217	1	DC	DC	NNP
cord-333088-ygdau2px	217	2	provides	provide	VBZ
cord-333088-ygdau2px	217	3	a	a	DT
cord-333088-ygdau2px	217	4	measure	measure	NN
cord-333088-ygdau2px	217	5	of	of	IN
cord-333088-ygdau2px	217	6	the	the	DT
cord-333088-ygdau2px	217	7	sharpness	sharpness	NN
cord-333088-ygdau2px	217	8	of	of	IN
cord-333088-ygdau2px	217	9	the	the	DT
cord-333088-ygdau2px	217	10	dominant	dominant	JJ
cord-333088-ygdau2px	217	11	peak	peak	NN
cord-333088-ygdau2px	217	12	in	in	IN
cord-333088-ygdau2px	217	13	the	the	DT
cord-333088-ygdau2px	217	14	Fourier	Fourier	NNP
cord-333088-ygdau2px	217	15	power	power	NN
cord-333088-ygdau2px	217	16	spectrum	spectrum	NN
cord-333088-ygdau2px	217	17	of	of	IN
cord-333088-ygdau2px	217	18	the	the	DT
cord-333088-ygdau2px	217	19	infective	infective	JJ
cord-333088-ygdau2px	217	20	time	time	NN
cord-333088-ygdau2px	217	21	series	series	NN
cord-333088-ygdau2px	217	22	,	,	,
cord-333088-ygdau2px	217	23	and	and	CC
cord-333088-ygdau2px	217	24	is	be	VBZ
cord-333088-ygdau2px	217	25	defined	define	VBN
cord-333088-ygdau2px	217	26	as	as	IN
cord-333088-ygdau2px	217	27	where	where	WRB
cord-333088-ygdau2px	217	28	h	h	NNP
cord-333088-ygdau2px	217	29	max	max	NN
cord-333088-ygdau2px	217	30	,	,	,
cord-333088-ygdau2px	217	31	v	v	NNP
cord-333088-ygdau2px	217	32	max	max	NNP
cord-333088-ygdau2px	217	33	and	and	CC
cord-333088-ygdau2px	217	34	Dv	Dv	NNP
cord-333088-ygdau2px	217	35	are	be	VBP
cord-333088-ygdau2px	217	36	the	the	DT
cord-333088-ygdau2px	217	37	peak	peak	NN
cord-333088-ygdau2px	217	38	height	height	NN
cord-333088-ygdau2px	217	39	,	,	,
cord-333088-ygdau2px	217	40	peak	peak	NN
cord-333088-ygdau2px	217	41	frequency	frequency	NN
cord-333088-ygdau2px	217	42	and	and	CC
cord-333088-ygdau2px	217	43	the	the	DT
cord-333088-ygdau2px	217	44	width	width	NN
cord-333088-ygdau2px	217	45	at	at	IN
cord-333088-ygdau2px	217	46	one	one	CD
cord-333088-ygdau2px	217	47	-	-	HYPH
cord-333088-ygdau2px	217	48	tenth	tenth	NN
cord-333088-ygdau2px	217	49	maximum	maximum	NN
cord-333088-ygdau2px	217	50	respectively	respectively	RB
cord-333088-ygdau2px	217	51	of	of	IN
cord-333088-ygdau2px	217	52	a	a	DT
cord-333088-ygdau2px	217	53	Gaussian	gaussian	JJ
cord-333088-ygdau2px	217	54	fit	fit	NN
cord-333088-ygdau2px	217	55	to	to	IN
cord-333088-ygdau2px	217	56	the	the	DT
cord-333088-ygdau2px	217	57	dominant	dominant	JJ
cord-333088-ygdau2px	217	58	peak	peak	NN
cord-333088-ygdau2px	217	59	.	.	.
cord-333088-ygdau2px	218	1	The	the	DT
cord-333088-ygdau2px	218	2	sharp	sharp	JJ
cord-333088-ygdau2px	218	3	nature	nature	NN
cord-333088-ygdau2px	218	4	of	of	IN
cord-333088-ygdau2px	218	5	the	the	DT
cord-333088-ygdau2px	218	6	peak	peak	NN
cord-333088-ygdau2px	218	7	,	,	,
cord-333088-ygdau2px	218	8	particularly	particularly	RB
cord-333088-ygdau2px	218	9	for	for	IN
cord-333088-ygdau2px	218	10	the	the	DT
cord-333088-ygdau2px	218	11	small	small	JJ
cord-333088-ygdau2px	218	12	-	-	HYPH
cord-333088-ygdau2px	218	13	world	world	NN
cord-333088-ygdau2px	218	14	network	network	NN
cord-333088-ygdau2px	218	15	,	,	,
cord-333088-ygdau2px	218	16	makes	make	VBZ
cord-333088-ygdau2px	218	17	it	-PRON-	PRP
cord-333088-ygdau2px	218	18	unfeasible	unfeasible	JJ
cord-333088-ygdau2px	218	19	to	to	TO
cord-333088-ygdau2px	218	20	use	use	VB
cord-333088-ygdau2px	218	21	the	the	DT
cord-333088-ygdau2px	218	22	standard	standard	NN
cord-333088-ygdau2px	218	23	'	'	''
cord-333088-ygdau2px	218	24	'	'	''
cord-333088-ygdau2px	218	25	width	width	NN
cord-333088-ygdau2px	218	26	at	at	IN
cord-333088-ygdau2px	218	27	half	half	JJ
cord-333088-ygdau2px	218	28	-	-	HYPH
cord-333088-ygdau2px	218	29	maximum	maximum	NN
cord-333088-ygdau2px	218	30	'	'	''
cord-333088-ygdau2px	218	31	'	'	''
cord-333088-ygdau2px	218	32	Fig	fig	NN
cord-333088-ygdau2px	218	33	.	.	.
cord-333088-ygdau2px	218	34	6	6	CD
cord-333088-ygdau2px	218	35	-The	-the	NN
cord-333088-ygdau2px	218	36	coefficient	coefficient	NN
cord-333088-ygdau2px	218	37	of	of	IN
cord-333088-ygdau2px	218	38	variation	variation	NN
cord-333088-ygdau2px	218	39	,	,	,
cord-333088-ygdau2px	218	40	CV	CV	NNP
cord-333088-ygdau2px	218	41	(	(	-LRB-
cord-333088-ygdau2px	218	42	Eq	Eq	NNP
cord-333088-ygdau2px	218	43	.	.	.
cord-333088-ygdau2px	219	1	(	(	-LRB-
cord-333088-ygdau2px	219	2	6	6	CD
cord-333088-ygdau2px	219	3	)	)	-RRB-
cord-333088-ygdau2px	219	4	)	)	-RRB-
cord-333088-ygdau2px	219	5	,	,	.
cord-333088-ygdau2px	220	1	and	and	CC
cord-333088-ygdau2px	220	2	the	the	DT
cord-333088-ygdau2px	220	3	degree	degree	NN
cord-333088-ygdau2px	220	4	of	of	IN
cord-333088-ygdau2px	220	5	coherence	coherence	NN
cord-333088-ygdau2px	220	6	,	,	,
cord-333088-ygdau2px	220	7	DC	DC	NNP
cord-333088-ygdau2px	220	8	(	(	-LRB-
cord-333088-ygdau2px	220	9	Eq	Eq	NNP
cord-333088-ygdau2px	220	10	.	.	.
cord-333088-ygdau2px	221	1	(	(	-LRB-
cord-333088-ygdau2px	221	2	7	7	CD
cord-333088-ygdau2px	221	3	)	)	-RRB-
cord-333088-ygdau2px	221	4	)	)	-RRB-
cord-333088-ygdau2px	221	5	,	,	,
cord-333088-ygdau2px	221	6	are	be	VBP
cord-333088-ygdau2px	221	7	plotted	plot	VBN
cord-333088-ygdau2px	221	8	against	against	IN
cord-333088-ygdau2px	221	9	f	f	NNP
cord-333088-ygdau2px	221	10	in	in	IN
cord-333088-ygdau2px	221	11	A	a	NN
cord-333088-ygdau2px	221	12	and	and	CC
cord-333088-ygdau2px	221	13	B	b	NN
cord-333088-ygdau2px	221	14	,	,	,
cord-333088-ygdau2px	221	15	respectively	respectively	RB
cord-333088-ygdau2px	221	16	(	(	-LRB-
cord-333088-ygdau2px	221	17	see	see	VB
cord-333088-ygdau2px	221	18	text	text	NN
cord-333088-ygdau2px	221	19	for	for	IN
cord-333088-ygdau2px	221	20	definitions	definition	NNS
cord-333088-ygdau2px	221	21	)	)	-RRB-
cord-333088-ygdau2px	221	22	.	.	.
cord-333088-ygdau2px	222	1	Each	each	DT
cord-333088-ygdau2px	222	2	point	point	NN
cord-333088-ygdau2px	222	3	in	in	IN
cord-333088-ygdau2px	222	4	B	B	NNP
cord-333088-ygdau2px	222	5	represents	represent	VBZ
cord-333088-ygdau2px	222	6	estimates	estimate	NNS
cord-333088-ygdau2px	222	7	using	use	VBG
cord-333088-ygdau2px	222	8	a	a	DT
cord-333088-ygdau2px	222	9	Fourier	Fourier	NNP
cord-333088-ygdau2px	222	10	power	power	NN
cord-333088-ygdau2px	222	11	spectrum	spectrum	NN
cord-333088-ygdau2px	222	12	averaged	average	VBD
cord-333088-ygdau2px	222	13	over	over	IN
cord-333088-ygdau2px	222	14	10	10	CD
cord-333088-ygdau2px	222	15	independent	independent	JJ
cord-333088-ygdau2px	222	16	realizations	realization	NNS
cord-333088-ygdau2px	222	17	of	of	IN
cord-333088-ygdau2px	222	18	the	the	DT
cord-333088-ygdau2px	222	19	stochastic	stochastic	JJ
cord-333088-ygdau2px	222	20	simulations	simulation	NNS
cord-333088-ygdau2px	222	21	.	.	.
cord-333088-ygdau2px	223	1	(	(	-LRB-
cord-333088-ygdau2px	223	2	Gang	gang	NN
cord-333088-ygdau2px	223	3	et	et	FW
cord-333088-ygdau2px	223	4	al	al	NNP
cord-333088-ygdau2px	223	5	.	.	NNP
cord-333088-ygdau2px	223	6	,	,	,
cord-333088-ygdau2px	223	7	1993	1993	CD
cord-333088-ygdau2px	224	1	;	;	:
cord-333088-ygdau2px	224	2	Lago	Lago	NNP
cord-333088-ygdau2px	224	3	-	-	HYPH
cord-333088-ygdau2px	224	4	Ferná	Ferná	NNP
cord-333088-ygdau2px	224	5	ndez	ndez	NNP
cord-333088-ygdau2px	224	6	et	et	NNP
cord-333088-ygdau2px	224	7	al	al	NNP
cord-333088-ygdau2px	224	8	.	.	NNP
cord-333088-ygdau2px	224	9	,	,	,
cord-333088-ygdau2px	224	10	2000	2000	CD
cord-333088-ygdau2px	224	11	)	)	-RRB-
cord-333088-ygdau2px	224	12	which	which	WDT
cord-333088-ygdau2px	224	13	is	be	VBZ
cord-333088-ygdau2px	224	14	often	often	RB
cord-333088-ygdau2px	224	15	zero	zero	CD
cord-333088-ygdau2px	224	16	here	here	RB
cord-333088-ygdau2px	224	17	.	.	.
cord-333088-ygdau2px	225	1	The	the	DT
cord-333088-ygdau2px	225	2	modified	modify	VBN
cord-333088-ygdau2px	225	3	implementation	implementation	NN
cord-333088-ygdau2px	225	4	in	in	IN
cord-333088-ygdau2px	225	5	Eq	Eq	NNP
cord-333088-ygdau2px	225	6	.	.	.
cord-333088-ygdau2px	226	1	(	(	-LRB-
cord-333088-ygdau2px	226	2	7	7	LS
cord-333088-ygdau2px	226	3	)	)	-RRB-
cord-333088-ygdau2px	226	4	therefore	therefore	RB
cord-333088-ygdau2px	226	5	considerably	considerably	RB
cord-333088-ygdau2px	226	6	underestimates	underestimate	VBZ
cord-333088-ygdau2px	226	7	the	the	DT
cord-333088-ygdau2px	226	8	sharpness	sharpness	NN
cord-333088-ygdau2px	226	9	of	of	IN
cord-333088-ygdau2px	226	10	the	the	DT
cord-333088-ygdau2px	226	11	dominant	dominant	JJ
cord-333088-ygdau2px	226	12	peak	peak	NN
cord-333088-ygdau2px	226	13	.	.	.
cord-333088-ygdau2px	227	1	Even	even	RB
cord-333088-ygdau2px	227	2	then	then	RB
cord-333088-ygdau2px	227	3	,	,	,
cord-333088-ygdau2px	227	4	Fig	Fig	NNP
cord-333088-ygdau2px	227	5	.	.	.
cord-333088-ygdau2px	228	1	6B	6b	NN
cord-333088-ygdau2px	228	2	depicts	depict	VBZ
cord-333088-ygdau2px	228	3	a	a	DT
cord-333088-ygdau2px	228	4	fairly	fairly	RB
cord-333088-ygdau2px	228	5	narrow	narrow	JJ
cord-333088-ygdau2px	228	6	maximum	maximum	NN
cord-333088-ygdau2px	228	7	for	for	IN
cord-333088-ygdau2px	228	8	DC	DC	NNP
cord-333088-ygdau2px	228	9	near	near	IN
cord-333088-ygdau2px	228	10	f	f	NNP
cord-333088-ygdau2px	228	11	=	=	NNP
cord-333088-ygdau2px	228	12	0.01	0.01	CD
cord-333088-ygdau2px	228	13	,	,	,
cord-333088-ygdau2px	228	14	indicating	indicate	VBG
cord-333088-ygdau2px	228	15	that	that	IN
cord-333088-ygdau2px	228	16	the	the	DT
cord-333088-ygdau2px	228	17	cycles	cycle	NNS
cord-333088-ygdau2px	228	18	within	within	IN
cord-333088-ygdau2px	228	19	the	the	DT
cord-333088-ygdau2px	228	20	small	small	JJ
cord-333088-ygdau2px	228	21	-	-	HYPH
cord-333088-ygdau2px	228	22	world	world	NN
cord-333088-ygdau2px	228	23	region	region	NN
cord-333088-ygdau2px	228	24	have	have	VBP
cord-333088-ygdau2px	228	25	a	a	DT
cord-333088-ygdau2px	228	26	well	well	RB
cord-333088-ygdau2px	228	27	-	-	HYPH
cord-333088-ygdau2px	228	28	defined	define	VBN
cord-333088-ygdau2px	228	29	period	period	NN
cord-333088-ygdau2px	228	30	.	.	.
cord-333088-ygdau2px	229	1	The	the	DT
cord-333088-ygdau2px	229	2	low	low	JJ
cord-333088-ygdau2px	229	3	value	value	NN
cord-333088-ygdau2px	229	4	of	of	IN
cord-333088-ygdau2px	229	5	DC	DC	NNP
cord-333088-ygdau2px	229	6	for	for	IN
cord-333088-ygdau2px	229	7	f	f	NN
cord-333088-ygdau2px	229	8	=	=	SYM
cord-333088-ygdau2px	229	9	0	0	CD
cord-333088-ygdau2px	229	10	implies	imply	VBZ
cord-333088-ygdau2px	229	11	that	that	IN
cord-333088-ygdau2px	229	12	the	the	DT
cord-333088-ygdau2px	229	13	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	229	14	in	in	IN
cord-333088-ygdau2px	229	15	the	the	DT
cord-333088-ygdau2px	229	16	regular	regular	JJ
cord-333088-ygdau2px	229	17	grid	grid	NN
cord-333088-ygdau2px	229	18	are	be	VBP
cord-333088-ygdau2px	229	19	stochastic	stochastic	JJ
cord-333088-ygdau2px	229	20	in	in	IN
cord-333088-ygdau2px	229	21	nature	nature	NN
cord-333088-ygdau2px	229	22	.	.	.
cord-333088-ygdau2px	230	1	A	a	DT
cord-333088-ygdau2px	230	2	likely	likely	JJ
cord-333088-ygdau2px	230	3	scenario	scenario	NN
cord-333088-ygdau2px	230	4	for	for	IN
cord-333088-ygdau2px	230	5	the	the	DT
cord-333088-ygdau2px	230	6	origin	origin	NN
cord-333088-ygdau2px	230	7	of	of	IN
cord-333088-ygdau2px	230	8	these	these	DT
cord-333088-ygdau2px	230	9	persistent	persistent	JJ
cord-333088-ygdau2px	230	10	cycles	cycle	NNS
cord-333088-ygdau2px	230	11	is	be	VBZ
cord-333088-ygdau2px	230	12	as	as	IN
cord-333088-ygdau2px	230	13	follows	follow	VBZ
cord-333088-ygdau2px	230	14	.	.	.
cord-333088-ygdau2px	231	1	Stochastic	stochastic	JJ
cord-333088-ygdau2px	231	2	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	231	3	are	be	VBP
cord-333088-ygdau2px	231	4	locally	locally	RB
cord-333088-ygdau2px	231	5	maintained	maintain	VBN
cord-333088-ygdau2px	231	6	in	in	IN
cord-333088-ygdau2px	231	7	a	a	DT
cord-333088-ygdau2px	231	8	regular	regular	JJ
cord-333088-ygdau2px	231	9	grid	grid	NN
cord-333088-ygdau2px	231	10	by	by	IN
cord-333088-ygdau2px	231	11	the	the	DT
cord-333088-ygdau2px	231	12	propagating	propagate	VBG
cord-333088-ygdau2px	231	13	fronts	front	NNS
cord-333088-ygdau2px	231	14	of	of	IN
cord-333088-ygdau2px	231	15	spatially	spatially	RB
cord-333088-ygdau2px	231	16	distributed	distribute	VBN
cord-333088-ygdau2px	231	17	infective	infective	JJ
cord-333088-ygdau2px	231	18	individuals	individual	NNS
cord-333088-ygdau2px	231	19	,	,	,
cord-333088-ygdau2px	231	20	but	but	CC
cord-333088-ygdau2px	231	21	they	-PRON-	PRP
cord-333088-ygdau2px	231	22	are	be	VBP
cord-333088-ygdau2px	231	23	out	out	IN
cord-333088-ygdau2px	231	24	of	of	IN
cord-333088-ygdau2px	231	25	phase	phase	NN
cord-333088-ygdau2px	231	26	across	across	IN
cord-333088-ygdau2px	231	27	the	the	DT
cord-333088-ygdau2px	231	28	network	network	NN
cord-333088-ygdau2px	231	29	.	.	.
cord-333088-ygdau2px	232	1	The	the	DT
cord-333088-ygdau2px	232	2	infective	infective	JJ
cord-333088-ygdau2px	232	3	individuals	individual	NNS
cord-333088-ygdau2px	232	4	are	be	VBP
cord-333088-ygdau2px	232	5	spatially	spatially	RB
cord-333088-ygdau2px	232	6	correlated	correlate	VBN
cord-333088-ygdau2px	232	7	over	over	IN
cord-333088-ygdau2px	232	8	a	a	DT
cord-333088-ygdau2px	232	9	length	length	NN
cord-333088-ygdau2px	232	10	j	j	NNP
cord-333088-ygdau2px	232	11	/	/	SYM
cord-333088-ygdau2px	232	12	d	d	NNP
cord-333088-ygdau2px	232	13	À1	À1	NNP
cord-333088-ygdau2px	232	14	in	in	IN
cord-333088-ygdau2px	232	15	the	the	DT
cord-333088-ygdau2px	232	16	grid	grid	NN
cord-333088-ygdau2px	232	17	(	(	-LRB-
cord-333088-ygdau2px	232	18	Johansen	Johansen	NNP
cord-333088-ygdau2px	232	19	,	,	,
cord-333088-ygdau2px	232	20	1996	1996	CD
cord-333088-ygdau2px	232	21	)	)	-RRB-
cord-333088-ygdau2px	232	22	,	,	,
cord-333088-ygdau2px	232	23	which	which	WDT
cord-333088-ygdau2px	232	24	typically	typically	RB
cord-333088-ygdau2px	232	25	has	have	VBZ
cord-333088-ygdau2px	232	26	a	a	DT
cord-333088-ygdau2px	232	27	far	far	RB
cord-333088-ygdau2px	232	28	shorter	short	JJR
cord-333088-ygdau2px	232	29	magnitude	magnitude	NN
cord-333088-ygdau2px	232	30	than	than	IN
cord-333088-ygdau2px	232	31	the	the	DT
cord-333088-ygdau2px	232	32	linear	linear	JJ
cord-333088-ygdau2px	232	33	extent	extent	NN
cord-333088-ygdau2px	232	34	of	of	IN
cord-333088-ygdau2px	232	35	the	the	DT
cord-333088-ygdau2px	232	36	grid	grid	NN
cord-333088-ygdau2px	232	37	used	use	VBN
cord-333088-ygdau2px	232	38	here	here	RB
cord-333088-ygdau2px	232	39	(	(	-LRB-
cord-333088-ygdau2px	232	40	increasing	increase	VBG
cord-333088-ygdau2px	232	41	d	d	XX
cord-333088-ygdau2px	232	42	reduces	reduce	VBZ
cord-333088-ygdau2px	232	43	the	the	DT
cord-333088-ygdau2px	232	44	correlation	correlation	NN
cord-333088-ygdau2px	232	45	length	length	NN
cord-333088-ygdau2px	233	1	j	j	NNP
cord-333088-ygdau2px	233	2	further	further	RB
cord-333088-ygdau2px	233	3	,	,	,
cord-333088-ygdau2px	233	4	which	which	WDT
cord-333088-ygdau2px	233	5	weakens	weaken	VBZ
cord-333088-ygdau2px	233	6	these	these	DT
cord-333088-ygdau2px	233	7	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	233	8	and	and	CC
cord-333088-ygdau2px	233	9	gives	give	VBZ
cord-333088-ygdau2px	233	10	the	the	DT
cord-333088-ygdau2px	233	11	stable	stable	JJ
cord-333088-ygdau2px	233	12	endemic	endemic	JJ
cord-333088-ygdau2px	233	13	state	state	NN
cord-333088-ygdau2px	233	14	observed	observe	VBN
cord-333088-ygdau2px	233	15	for	for	IN
cord-333088-ygdau2px	233	16	instance	instance	NN
cord-333088-ygdau2px	233	17	in	in	IN
cord-333088-ygdau2px	233	18	Fig	Fig	NNP
cord-333088-ygdau2px	233	19	.	.	.
cord-333088-ygdau2px	233	20	3A	3A	NNP
cord-333088-ygdau2px	233	21	)	)	-RRB-
cord-333088-ygdau2px	233	22	.	.	.
cord-333088-ygdau2px	234	1	The	the	DT
cord-333088-ygdau2px	234	2	addition	addition	NN
cord-333088-ygdau2px	234	3	of	of	IN
cord-333088-ygdau2px	234	4	a	a	DT
cord-333088-ygdau2px	234	5	small	small	JJ
cord-333088-ygdau2px	234	6	number	number	NN
cord-333088-ygdau2px	234	7	of	of	IN
cord-333088-ygdau2px	234	8	short	short	JJ
cord-333088-ygdau2px	234	9	-	-	HYPH
cord-333088-ygdau2px	234	10	cuts	cut	NNS
cord-333088-ygdau2px	234	11	in	in	IN
cord-333088-ygdau2px	234	12	a	a	DT
cord-333088-ygdau2px	234	13	small	small	JJ
cord-333088-ygdau2px	234	14	-	-	HYPH
cord-333088-ygdau2px	234	15	world	world	NN
cord-333088-ygdau2px	234	16	network	network	NN
cord-333088-ygdau2px	234	17	(	(	-LRB-
cord-333088-ygdau2px	234	18	Fig	Fig	NNP
cord-333088-ygdau2px	234	19	.	.	.
cord-333088-ygdau2px	234	20	1B	1b	LS
cord-333088-ygdau2px	234	21	)	)	-RRB-
cord-333088-ygdau2px	235	1	couples	couple	NNS
cord-333088-ygdau2px	235	2	together	together	RB
cord-333088-ygdau2px	235	3	a	a	DT
cord-333088-ygdau2px	235	4	few	few	JJ
cord-333088-ygdau2px	235	5	of	of	IN
cord-333088-ygdau2px	235	6	these	these	DT
cord-333088-ygdau2px	235	7	local	local	JJ
cord-333088-ygdau2px	235	8	fronts	front	NNS
cord-333088-ygdau2px	235	9	,	,	,
cord-333088-ygdau2px	235	10	thereby	thereby	RB
cord-333088-ygdau2px	235	11	effectively	effectively	RB
cord-333088-ygdau2px	235	12	increasing	increase	VBG
cord-333088-ygdau2px	235	13	the	the	DT
cord-333088-ygdau2px	235	14	correlation	correlation	NN
cord-333088-ygdau2px	235	15	length	length	NN
cord-333088-ygdau2px	235	16	to	to	IN
cord-333088-ygdau2px	235	17	the	the	DT
cord-333088-ygdau2px	235	18	order	order	NN
cord-333088-ygdau2px	235	19	of	of	IN
cord-333088-ygdau2px	235	20	the	the	DT
cord-333088-ygdau2px	235	21	system	system	NN
cord-333088-ygdau2px	235	22	size	size	NN
cord-333088-ygdau2px	235	23	and	and	CC
cord-333088-ygdau2px	235	24	creating	create	VBG
cord-333088-ygdau2px	235	25	a	a	DT
cord-333088-ygdau2px	235	26	globally	globally	RB
cord-333088-ygdau2px	235	27	coherent	coherent	JJ
cord-333088-ygdau2px	235	28	periodic	periodic	JJ
cord-333088-ygdau2px	235	29	response	response	NN
cord-333088-ygdau2px	235	30	.	.	.
cord-333088-ygdau2px	236	1	As	as	IN
cord-333088-ygdau2px	236	2	more	more	RBR
cord-333088-ygdau2px	236	3	short	short	JJ
cord-333088-ygdau2px	236	4	-	-	HYPH
cord-333088-ygdau2px	236	5	cuts	cut	NNS
cord-333088-ygdau2px	236	6	are	be	VBP
cord-333088-ygdau2px	236	7	added	add	VBN
cord-333088-ygdau2px	236	8	,	,	,
cord-333088-ygdau2px	236	9	the	the	DT
cord-333088-ygdau2px	236	10	network	network	NN
cord-333088-ygdau2px	236	11	soon	soon	RB
cord-333088-ygdau2px	236	12	acquires	acquire	VBZ
cord-333088-ygdau2px	236	13	a	a	DT
cord-333088-ygdau2px	236	14	sufficiently	sufficiently	RB
cord-333088-ygdau2px	236	15	random	random	JJ
cord-333088-ygdau2px	236	16	configuration	configuration	NN
cord-333088-ygdau2px	236	17	and	and	CC
cord-333088-ygdau2px	236	18	the	the	DT
cord-333088-ygdau2px	236	19	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	236	20	dynamics	dynamic	NNS
cord-333088-ygdau2px	236	21	become	become	VBP
cord-333088-ygdau2px	236	22	dominant	dominant	JJ
cord-333088-ygdau2px	236	23	.	.	.
cord-333088-ygdau2px	237	1	Another	another	DT
cord-333088-ygdau2px	237	2	important	important	JJ
cord-333088-ygdau2px	237	3	point	point	NN
cord-333088-ygdau2px	237	4	to	to	TO
cord-333088-ygdau2px	237	5	note	note	VB
cord-333088-ygdau2px	237	6	in	in	IN
cord-333088-ygdau2px	237	7	Fig	Fig	NNP
cord-333088-ygdau2px	237	8	.	.	.
cord-333088-ygdau2px	238	1	3B	3B	NNP
cord-333088-ygdau2px	238	2	is	be	VBZ
cord-333088-ygdau2px	238	3	that	that	IN
cord-333088-ygdau2px	238	4	,	,	,
cord-333088-ygdau2px	238	5	in	in	IN
cord-333088-ygdau2px	238	6	contrast	contrast	NN
cord-333088-ygdau2px	238	7	to	to	IN
cord-333088-ygdau2px	238	8	Fig	Fig	NNP
cord-333088-ygdau2px	238	9	.	.	.
cord-333088-ygdau2px	239	1	3A	3A	NNP
cord-333088-ygdau2px	239	2	,	,	,
cord-333088-ygdau2px	239	3	the	the	DT
cord-333088-ygdau2px	239	4	mean	mean	JJ
cord-333088-ygdau2px	239	5	infection	infection	NN
cord-333088-ygdau2px	239	6	level	level	NN
cord-333088-ygdau2px	240	1	I	-PRON-	PRP
cord-333088-ygdau2px	240	2	of	of	IN
cord-333088-ygdau2px	240	3	the	the	DT
cord-333088-ygdau2px	240	4	cycles	cycle	NNS
cord-333088-ygdau2px	240	5	is	be	VBZ
cord-333088-ygdau2px	240	6	not	not	RB
cord-333088-ygdau2px	240	7	independent	independent	JJ
cord-333088-ygdau2px	240	8	of	of	IN
cord-333088-ygdau2px	240	9	f	f	NNP
cord-333088-ygdau2px	240	10	:	:	:
cord-333088-ygdau2px	240	11	I	-PRON-	PRP
cord-333088-ygdau2px	240	12	now	now	RB
cord-333088-ygdau2px	240	13	increases	increase	VBZ
cord-333088-ygdau2px	240	14	slowly	slowly	RB
cord-333088-ygdau2px	240	15	with	with	IN
cord-333088-ygdau2px	240	16	f.	f.	NN
cord-333088-ygdau2px	240	17	An	an	DT
cord-333088-ygdau2px	240	18	immediate	immediate	JJ
cord-333088-ygdau2px	240	19	implication	implication	NN
cord-333088-ygdau2px	240	20	of	of	IN
cord-333088-ygdau2px	240	21	this	this	DT
cord-333088-ygdau2px	240	22	observation	observation	NN
cord-333088-ygdau2px	240	23	is	be	VBZ
cord-333088-ygdau2px	240	24	that	that	IN
cord-333088-ygdau2px	240	25	,	,	,
cord-333088-ygdau2px	240	26	unlike	unlike	IN
cord-333088-ygdau2px	240	27	the	the	DT
cord-333088-ygdau2px	240	28	earlier	early	JJR
cord-333088-ygdau2px	240	29	case	case	NN
cord-333088-ygdau2px	240	30	of	of	IN
cord-333088-ygdau2px	240	31	a	a	DT
cord-333088-ygdau2px	240	32	stable	stable	JJ
cord-333088-ygdau2px	240	33	equilibrium	equilibrium	NN
cord-333088-ygdau2px	240	34	,	,	,
cord-333088-ygdau2px	240	35	the	the	DT
cord-333088-ygdau2px	240	36	bilinear	bilinear	JJ
cord-333088-ygdau2px	240	37	mean	mean	JJ
cord-333088-ygdau2px	240	38	-	-	HYPH
cord-333088-ygdau2px	240	39	field	field	NN
cord-333088-ygdau2px	240	40	model	model	NN
cord-333088-ygdau2px	240	41	of	of	IN
cord-333088-ygdau2px	240	42	Eq	Eq	NNP
cord-333088-ygdau2px	240	43	.	.	.
cord-333088-ygdau2px	241	1	(	(	-LRB-
cord-333088-ygdau2px	241	2	4	4	LS
cord-333088-ygdau2px	241	3	)	)	-RRB-
cord-333088-ygdau2px	241	4	will	will	MD
cord-333088-ygdau2px	241	5	no	no	RB
cord-333088-ygdau2px	241	6	longer	longer	RB
cord-333088-ygdau2px	241	7	be	be	VB
cord-333088-ygdau2px	241	8	able	able	JJ
cord-333088-ygdau2px	241	9	to	to	TO
cord-333088-ygdau2px	241	10	accurately	accurately	RB
cord-333088-ygdau2px	241	11	predict	predict	VB
cord-333088-ygdau2px	241	12	the	the	DT
cord-333088-ygdau2px	241	13	mean	mean	JJ
cord-333088-ygdau2px	241	14	infection	infection	NN
cord-333088-ygdau2px	241	15	for	for	IN
cord-333088-ygdau2px	241	16	all	all	DT
cord-333088-ygdau2px	241	17	f.	f.	NN
cord-333088-ygdau2px	241	18	Fig	Fig	NNP
cord-333088-ygdau2px	241	19	.	.	.
cord-333088-ygdau2px	242	1	7	7	CD
cord-333088-ygdau2px	242	2	shows	show	VBZ
cord-333088-ygdau2px	242	3	the	the	DT
cord-333088-ygdau2px	242	4	same	same	JJ
cord-333088-ygdau2px	242	5	examples	example	NNS
cord-333088-ygdau2px	242	6	of	of	IN
cord-333088-ygdau2px	242	7	the	the	DT
cord-333088-ygdau2px	242	8	stochastic	stochastic	JJ
cord-333088-ygdau2px	242	9	time	time	NN
cord-333088-ygdau2px	242	10	series	series	NN
cord-333088-ygdau2px	242	11	as	as	IN
cord-333088-ygdau2px	242	12	in	in	IN
cord-333088-ygdau2px	242	13	Fig	Fig	NNP
cord-333088-ygdau2px	242	14	.	.	.
cord-333088-ygdau2px	242	15	3B	3B	NNP
cord-333088-ygdau2px	242	16	,	,	,
cord-333088-ygdau2px	242	17	along	along	IN
cord-333088-ygdau2px	242	18	with	with	IN
cord-333088-ygdau2px	242	19	the	the	DT
cord-333088-ygdau2px	242	20	solutions	solution	NNS
cord-333088-ygdau2px	242	21	of	of	IN
cord-333088-ygdau2px	242	22	the	the	DT
cord-333088-ygdau2px	242	23	three	three	CD
cord-333088-ygdau2px	242	24	models	model	NNS
cord-333088-ygdau2px	242	25	.	.	.
cord-333088-ygdau2px	243	1	As	as	IN
cord-333088-ygdau2px	243	2	expected	expect	VBN
cord-333088-ygdau2px	243	3	,	,	,
cord-333088-ygdau2px	243	4	the	the	DT
cord-333088-ygdau2px	243	5	mean	mean	JJ
cord-333088-ygdau2px	243	6	-	-	HYPH
cord-333088-ygdau2px	243	7	field	field	NN
cord-333088-ygdau2px	243	8	time	time	NN
cord-333088-ygdau2px	243	9	series	series	NN
cord-333088-ygdau2px	243	10	fails	fail	VBZ
cord-333088-ygdau2px	243	11	to	to	TO
cord-333088-ygdau2px	243	12	predict	predict	VB
cord-333088-ygdau2px	243	13	the	the	DT
cord-333088-ygdau2px	243	14	mean	mean	JJ
cord-333088-ygdau2px	243	15	infection	infection	NN
cord-333088-ygdau2px	243	16	level	level	NN
cord-333088-ygdau2px	243	17	at	at	IN
cord-333088-ygdau2px	243	18	varying	vary	VBG
cord-333088-ygdau2px	243	19	degrees	degree	NNS
cord-333088-ygdau2px	243	20	in	in	IN
cord-333088-ygdau2px	243	21	all	all	DT
cord-333088-ygdau2px	243	22	three	three	CD
cord-333088-ygdau2px	243	23	cases	case	NNS
cord-333088-ygdau2px	243	24	,	,	,
cord-333088-ygdau2px	243	25	deviating	deviate	VBG
cord-333088-ygdau2px	243	26	most	most	RBS
cord-333088-ygdau2px	243	27	for	for	IN
cord-333088-ygdau2px	243	28	the	the	DT
cord-333088-ygdau2px	243	29	regular	regular	JJ
cord-333088-ygdau2px	243	30	grid	grid	NN
cord-333088-ygdau2px	243	31	(	(	-LRB-
cord-333088-ygdau2px	243	32	f	f	NN
cord-333088-ygdau2px	243	33	=	=	NN
cord-333088-ygdau2px	243	34	0	0	NFP
cord-333088-ygdau2px	243	35	)	)	-RRB-
cord-333088-ygdau2px	243	36	and	and	CC
cord-333088-ygdau2px	243	37	least	least	JJS
cord-333088-ygdau2px	243	38	for	for	IN
cord-333088-ygdau2px	243	39	the	the	DT
cord-333088-ygdau2px	243	40	random	random	JJ
cord-333088-ygdau2px	243	41	network	network	NN
cord-333088-ygdau2px	243	42	(	(	-LRB-
cord-333088-ygdau2px	243	43	f	f	NN
cord-333088-ygdau2px	243	44	=	=	NN
cord-333088-ygdau2px	243	45	1	1	CD
cord-333088-ygdau2px	243	46	)	)	-RRB-
cord-333088-ygdau2px	243	47	.	.	.
cord-333088-ygdau2px	244	1	By	by	IN
cord-333088-ygdau2px	244	2	comparison	comparison	NN
cord-333088-ygdau2px	244	3	,	,	,
cord-333088-ygdau2px	244	4	the	the	DT
cord-333088-ygdau2px	244	5	equilibrium	equilibrium	NN
cord-333088-ygdau2px	244	6	solutions	solution	NNS
cord-333088-ygdau2px	244	7	of	of	IN
cord-333088-ygdau2px	244	8	the	the	DT
cord-333088-ygdau2px	244	9	full	full	JJ
cord-333088-ygdau2px	244	10	and	and	CC
cord-333088-ygdau2px	244	11	restricted	restricted	JJ
cord-333088-ygdau2px	244	12	versions	version	NNS
cord-333088-ygdau2px	244	13	of	of	IN
cord-333088-ygdau2px	244	14	the	the	DT
cord-333088-ygdau2px	244	15	HM	HM	NNP
cord-333088-ygdau2px	244	16	model	model	NN
cord-333088-ygdau2px	244	17	both	both	DT
cord-333088-ygdau2px	244	18	demonstrate	demonstrate	VBP
cord-333088-ygdau2px	244	19	good	good	JJ
cord-333088-ygdau2px	244	20	agreement	agreement	NN
cord-333088-ygdau2px	244	21	with	with	IN
cord-333088-ygdau2px	244	22	the	the	DT
cord-333088-ygdau2px	244	23	mean	mean	JJ
cord-333088-ygdau2px	244	24	infection	infection	NN
cord-333088-ygdau2px	244	25	level	level	NN
cord-333088-ygdau2px	244	26	of	of	IN
cord-333088-ygdau2px	244	27	the	the	DT
cord-333088-ygdau2px	244	28	stochastic	stochastic	JJ
cord-333088-ygdau2px	244	29	system	system	NN
cord-333088-ygdau2px	244	30	.	.	.
cord-333088-ygdau2px	245	1	For	for	IN
cord-333088-ygdau2px	245	2	the	the	DT
cord-333088-ygdau2px	245	3	transient	transient	JJ
cord-333088-ygdau2px	245	4	patterns	pattern	NNS
cord-333088-ygdau2px	245	5	,	,	,
cord-333088-ygdau2px	245	6	the	the	DT
cord-333088-ygdau2px	245	7	two	two	CD
cord-333088-ygdau2px	245	8	HM	HM	NNP
cord-333088-ygdau2px	245	9	models	model	NNS
cord-333088-ygdau2px	245	10	exhibit	exhibit	VBP
cord-333088-ygdau2px	245	11	similar	similar	JJ
cord-333088-ygdau2px	245	12	decaying	decaying	JJ
cord-333088-ygdau2px	245	13	cycles	cycle	NNS
cord-333088-ygdau2px	245	14	of	of	IN
cord-333088-ygdau2px	245	15	roughly	roughly	RB
cord-333088-ygdau2px	245	16	the	the	DT
cord-333088-ygdau2px	245	17	same	same	JJ
cord-333088-ygdau2px	245	18	period	period	NN
cord-333088-ygdau2px	245	19	,	,	,
cord-333088-ygdau2px	245	20	and	and	CC
cord-333088-ygdau2px	245	21	also	also	RB
cord-333088-ygdau2px	245	22	of	of	IN
cord-333088-ygdau2px	245	23	the	the	DT
cord-333088-ygdau2px	245	24	same	same	JJ
cord-333088-ygdau2px	245	25	transient	transient	JJ
cord-333088-ygdau2px	245	26	length	length	NN
cord-333088-ygdau2px	245	27	,	,	,
cord-333088-ygdau2px	245	28	as	as	IN
cord-333088-ygdau2px	245	29	the	the	DT
cord-333088-ygdau2px	245	30	stochastic	stochastic	JJ
cord-333088-ygdau2px	245	31	time	time	NN
cord-333088-ygdau2px	245	32	series	series	NN
cord-333088-ygdau2px	245	33	but	but	CC
cord-333088-ygdau2px	245	34	they	-PRON-	PRP
cord-333088-ygdau2px	245	35	occur	occur	VBP
cord-333088-ygdau2px	245	36	at	at	IN
cord-333088-ygdau2px	245	37	a	a	DT
cord-333088-ygdau2px	245	38	different	different	JJ
cord-333088-ygdau2px	245	39	phase	phase	NN
cord-333088-ygdau2px	245	40	.	.	.
cord-333088-ygdau2px	246	1	Even	even	RB
cord-333088-ygdau2px	246	2	though	though	IN
cord-333088-ygdau2px	246	3	the	the	DT
cord-333088-ygdau2px	246	4	transient	transient	JJ
cord-333088-ygdau2px	246	5	cycles	cycle	NNS
cord-333088-ygdau2px	246	6	of	of	IN
cord-333088-ygdau2px	246	7	the	the	DT
cord-333088-ygdau2px	246	8	HM	HM	NNP
cord-333088-ygdau2px	246	9	models	model	NNS
cord-333088-ygdau2px	246	10	persist	persist	VBP
cord-333088-ygdau2px	246	11	the	the	DT
cord-333088-ygdau2px	246	12	longest	long	JJS
cord-333088-ygdau2px	246	13	for	for	IN
cord-333088-ygdau2px	246	14	f	f	NNP
cord-333088-ygdau2px	246	15	=	=	SYM
cord-333088-ygdau2px	246	16	0.01	0.01	CD
cord-333088-ygdau2px	246	17	,	,	,
cord-333088-ygdau2px	246	18	they	-PRON-	PRP
cord-333088-ygdau2px	246	19	eventually	eventually	RB
cord-333088-ygdau2px	246	20	decay	decay	VBP
cord-333088-ygdau2px	246	21	onto	onto	IN
cord-333088-ygdau2px	246	22	a	a	DT
cord-333088-ygdau2px	246	23	stable	stable	JJ
cord-333088-ygdau2px	246	24	equilibrium	equilibrium	NN
cord-333088-ygdau2px	246	25	and	and	CC
cord-333088-ygdau2px	246	26	thus	thus	RB
cord-333088-ygdau2px	246	27	fail	fail	VB
cord-333088-ygdau2px	246	28	to	to	TO
cord-333088-ygdau2px	246	29	predict	predict	VB
cord-333088-ygdau2px	246	30	the	the	DT
cord-333088-ygdau2px	246	31	persistent	persistent	JJ
cord-333088-ygdau2px	246	32	oscillations	oscillation	NNS
cord-333088-ygdau2px	246	33	of	of	IN
cord-333088-ygdau2px	246	34	the	the	DT
cord-333088-ygdau2px	246	35	smallworld	smallworld	NNP
cord-333088-ygdau2px	246	36	network	network	NN
cord-333088-ygdau2px	246	37	.	.	.
cord-333088-ygdau2px	247	1	The	the	DT
cord-333088-ygdau2px	247	2	mean	mean	JJ
cord-333088-ygdau2px	247	3	-	-	HYPH
cord-333088-ygdau2px	247	4	field	field	NN
cord-333088-ygdau2px	247	5	model	model	NN
cord-333088-ygdau2px	247	6	,	,	,
cord-333088-ygdau2px	247	7	on	on	IN
cord-333088-ygdau2px	247	8	the	the	DT
cord-333088-ygdau2px	247	9	other	other	JJ
cord-333088-ygdau2px	247	10	hand	hand	NN
cord-333088-ygdau2px	247	11	,	,	,
cord-333088-ygdau2px	247	12	shows	show	VBZ
cord-333088-ygdau2px	247	13	damped	damped	JJ
cord-333088-ygdau2px	247	14	cycles	cycle	NNS
cord-333088-ygdau2px	247	15	of	of	IN
cord-333088-ygdau2px	247	16	much	much	RB
cord-333088-ygdau2px	247	17	shorter	short	JJR
cord-333088-ygdau2px	247	18	duration	duration	NN
cord-333088-ygdau2px	247	19	and	and	CC
cord-333088-ygdau2px	247	20	hence	hence	RB
cord-333088-ygdau2px	247	21	is	be	VBZ
cord-333088-ygdau2px	247	22	a	a	DT
cord-333088-ygdau2px	247	23	poor	poor	JJ
cord-333088-ygdau2px	247	24	predictor	predictor	NN
cord-333088-ygdau2px	247	25	overall	overall	RB
cord-333088-ygdau2px	247	26	.	.	.
cord-333088-ygdau2px	248	1	The	the	DT
cord-333088-ygdau2px	248	2	close	close	JJ
cord-333088-ygdau2px	248	3	agreement	agreement	NN
cord-333088-ygdau2px	248	4	of	of	IN
cord-333088-ygdau2px	248	5	the	the	DT
cord-333088-ygdau2px	248	6	two	two	CD
cord-333088-ygdau2px	248	7	HM	HM	NNP
cord-333088-ygdau2px	248	8	time	time	NN
cord-333088-ygdau2px	248	9	series	series	NN
cord-333088-ygdau2px	248	10	with	with	IN
cord-333088-ygdau2px	248	11	each	each	DT
cord-333088-ygdau2px	248	12	other	other	JJ
cord-333088-ygdau2px	248	13	for	for	IN
cord-333088-ygdau2px	248	14	f	f	NNP
cord-333088-ygdau2px	248	15	=	=	SYM
cord-333088-ygdau2px	248	16	0.01	0.01	CD
cord-333088-ygdau2px	248	17	(	(	-LRB-
cord-333088-ygdau2px	248	18	Fig	Fig	NNP
cord-333088-ygdau2px	248	19	.	.	.
cord-333088-ygdau2px	248	20	7B	7B	NNP
cord-333088-ygdau2px	248	21	)	)	-RRB-
cord-333088-ygdau2px	248	22	is	be	VBZ
cord-333088-ygdau2px	248	23	due	due	JJ
cord-333088-ygdau2px	248	24	to	to	IN
cord-333088-ygdau2px	248	25	the	the	DT
cord-333088-ygdau2px	248	26	fact	fact	NN
cord-333088-ygdau2px	248	27	that	that	IN
cord-333088-ygdau2px	248	28	the	the	DT
cord-333088-ygdau2px	248	29	leastsquared	leastsquared	JJ
cord-333088-ygdau2px	248	30	estimate	estimate	NN
cord-333088-ygdau2px	248	31	of	of	IN
cord-333088-ygdau2px	248	32	k	k	NN
cord-333088-ygdau2px	248	33	for	for	IN
cord-333088-ygdau2px	248	34	the	the	DT
cord-333088-ygdau2px	248	35	full	full	JJ
cord-333088-ygdau2px	248	36	HM	HM	NNP
cord-333088-ygdau2px	248	37	model	model	NN
cord-333088-ygdau2px	248	38	is	be	VBZ
cord-333088-ygdau2px	248	39	0.00005	0.00005	CD
cord-333088-ygdau2px	248	40	,	,	,
cord-333088-ygdau2px	248	41	equal	equal	JJ
cord-333088-ygdau2px	248	42	to	to	IN
cord-333088-ygdau2px	248	43	n	n	NN
cord-333088-ygdau2px	248	44	0	0	CD
cord-333088-ygdau2px	248	45	/N	/N	NNPS
cord-333088-ygdau2px	248	46	of	of	IN
cord-333088-ygdau2px	248	47	the	the	DT
cord-333088-ygdau2px	248	48	restricted	restricted	JJ
cord-333088-ygdau2px	248	49	HM	HM	NNP
cord-333088-ygdau2px	248	50	,	,	,
cord-333088-ygdau2px	248	51	and	and	CC
cord-333088-ygdau2px	248	52	the	the	DT
cord-333088-ygdau2px	248	53	exponents	exponent	NNS
cord-333088-ygdau2px	248	54	p	p	XX
cord-333088-ygdau2px	248	55	,	,	,
cord-333088-ygdau2px	248	56	q	q	NNP
cord-333088-ygdau2px	248	57	likewise	likewise	RB
cord-333088-ygdau2px	248	58	reduce	reduce	VB
cord-333088-ygdau2px	248	59	to	to	IN
cord-333088-ygdau2px	248	60	p	p	NN
cord-333088-ygdau2px	248	61	r	r	NN
cord-333088-ygdau2px	248	62	,	,	,
cord-333088-ygdau2px	248	63	q	q	NNP
cord-333088-ygdau2px	248	64	r	r	NNP
cord-333088-ygdau2px	248	65	.	.	.
cord-333088-ygdau2px	249	1	Within	within	IN
cord-333088-ygdau2px	249	2	the	the	DT
cord-333088-ygdau2px	249	3	entire	entire	JJ
cord-333088-ygdau2px	249	4	range	range	NN
cord-333088-ygdau2px	249	5	0	0	CD
cord-333088-ygdau2px	249	6	f	f	NN
cord-333088-ygdau2px	249	7	1	1	CD
cord-333088-ygdau2px	249	8	,	,	,
cord-333088-ygdau2px	249	9	the	the	DT
cord-333088-ygdau2px	249	10	estimates	estimate	NNS
cord-333088-ygdau2px	249	11	of	of	IN
cord-333088-ygdau2px	249	12	p	p	NN
cord-333088-ygdau2px	249	13	and	and	CC
cord-333088-ygdau2px	249	14	p	p	NN
cord-333088-ygdau2px	249	15	r	r	NN
cord-333088-ygdau2px	249	16	for	for	IN
cord-333088-ygdau2px	249	17	the	the	DT
cord-333088-ygdau2px	249	18	full	full	JJ
cord-333088-ygdau2px	249	19	and	and	CC
cord-333088-ygdau2px	249	20	restricted	restricted	JJ
cord-333088-ygdau2px	249	21	HM	HM	NNP
cord-333088-ygdau2px	249	22	models	model	NNS
cord-333088-ygdau2px	249	23	lie	lie	VBP
cord-333088-ygdau2px	249	24	between	between	IN
cord-333088-ygdau2px	249	25	[	[	-LRB-
cord-333088-ygdau2px	249	26	0.68	0.68	CD
cord-333088-ygdau2px	249	27	,	,	,
cord-333088-ygdau2px	249	28	1.08	1.08	CD
cord-333088-ygdau2px	249	29	]	]	-RRB-
cord-333088-ygdau2px	249	30	and	and	CC
cord-333088-ygdau2px	249	31	[	[	-LRB-
cord-333088-ygdau2px	249	32	0.82	0.82	CD
cord-333088-ygdau2px	249	33	,	,	,
cord-333088-ygdau2px	249	34	0.93	0.93	CD
cord-333088-ygdau2px	249	35	]	]	-RRB-
cord-333088-ygdau2px	249	36	,	,	,
cord-333088-ygdau2px	249	37	respectively	respectively	RB
cord-333088-ygdau2px	249	38	,	,	,
cord-333088-ygdau2px	249	39	whereas	whereas	IN
cord-333088-ygdau2px	249	40	q	q	NNP
cord-333088-ygdau2px	249	41	and	and	CC
cord-333088-ygdau2px	249	42	q	q	NNP
cord-333088-ygdau2px	249	43	r	r	NNP
cord-333088-ygdau2px	249	44	both	both	DT
cord-333088-ygdau2px	249	45	stay	stay	VB
cord-333088-ygdau2px	249	46	close	close	RB
cord-333088-ygdau2px	249	47	to	to	IN
cord-333088-ygdau2px	249	48	a	a	DT
cord-333088-ygdau2px	249	49	value	value	NN
cord-333088-ygdau2px	249	50	of	of	IN
cord-333088-ygdau2px	249	51	1.1	1.1	CD
cord-333088-ygdau2px	249	52	.	.	.
cord-333088-ygdau2px	250	1	It	-PRON-	PRP
cord-333088-ygdau2px	250	2	is	be	VBZ
cord-333088-ygdau2px	250	3	interesting	interesting	JJ
cord-333088-ygdau2px	250	4	to	to	TO
cord-333088-ygdau2px	250	5	note	note	VB
cord-333088-ygdau2px	250	6	here	here	RB
cord-333088-ygdau2px	250	7	that	that	IN
cord-333088-ygdau2px	250	8	a	a	DT
cord-333088-ygdau2px	250	9	necessary	necessary	JJ
cord-333088-ygdau2px	250	10	condition	condition	NN
cord-333088-ygdau2px	250	11	for	for	IN
cord-333088-ygdau2px	250	12	limit	limit	NN
cord-333088-ygdau2px	250	13	cycles	cycle	NNS
cord-333088-ygdau2px	250	14	in	in	IN
cord-333088-ygdau2px	250	15	an	an	DT
cord-333088-ygdau2px	250	16	SIRS	SIRS	NNP
cord-333088-ygdau2px	250	17	dynamics	dynamic	NNS
cord-333088-ygdau2px	250	18	with	with	IN
cord-333088-ygdau2px	250	19	a	a	DT
cord-333088-ygdau2px	250	20	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	250	21	incidence	incidence	NN
cord-333088-ygdau2px	250	22	rate	rate	NN
cord-333088-ygdau2px	250	23	S	s	NN
cord-333088-ygdau2px	250	24	p	p	NN
cord-333088-ygdau2px	251	1	I	-PRON-	PRP
cord-333088-ygdau2px	251	2	q	q	NNP
cord-333088-ygdau2px	251	3	is	be	VBZ
cord-333088-ygdau2px	251	4	q	q	NNP
cord-333088-ygdau2px	251	5	>	>	XX
cord-333088-ygdau2px	251	6	1	1	CD
cord-333088-ygdau2px	252	1	(	(	-LRB-
cord-333088-ygdau2px	252	2	Liu	Liu	NNP
cord-333088-ygdau2px	252	3	et	et	NNP
cord-333088-ygdau2px	252	4	al	al	NNP
cord-333088-ygdau2px	252	5	.	.	NNP
cord-333088-ygdau2px	252	6	,	,	,
cord-333088-ygdau2px	252	7	1986	1986	CD
cord-333088-ygdau2px	252	8	)	)	-RRB-
cord-333088-ygdau2px	252	9	,	,	,
cord-333088-ygdau2px	252	10	which	which	WDT
cord-333088-ygdau2px	252	11	both	both	CC
cord-333088-ygdau2px	252	12	the	the	DT
cord-333088-ygdau2px	252	13	full	full	JJ
cord-333088-ygdau2px	252	14	and	and	CC
cord-333088-ygdau2px	252	15	restricted	restricted	JJ
cord-333088-ygdau2px	252	16	HM	HM	NNP
cord-333088-ygdau2px	252	17	models	model	NNS
cord-333088-ygdau2px	252	18	appear	appear	VBP
cord-333088-ygdau2px	252	19	to	to	TO
cord-333088-ygdau2px	252	20	satisfy	satisfy	VB
cord-333088-ygdau2px	252	21	.	.	.
cord-333088-ygdau2px	253	1	One	one	CD
cord-333088-ygdau2px	253	2	possible	possible	JJ
cord-333088-ygdau2px	253	3	reason	reason	NN
cord-333088-ygdau2px	253	4	then	then	RB
cord-333088-ygdau2px	253	5	for	for	IN
cord-333088-ygdau2px	253	6	their	-PRON-	PRP$
cord-333088-ygdau2px	253	7	failure	failure	NN
cord-333088-ygdau2px	253	8	to	to	TO
cord-333088-ygdau2px	253	9	reproduce	reproduce	VB
cord-333088-ygdau2px	253	10	the	the	DT
cord-333088-ygdau2px	253	11	cycles	cycle	NNS
cord-333088-ygdau2px	253	12	in	in	IN
cord-333088-ygdau2px	253	13	the	the	DT
cord-333088-ygdau2px	253	14	smallworld	smallworld	NNP
cord-333088-ygdau2px	253	15	region	region	NN
cord-333088-ygdau2px	253	16	is	be	VBZ
cord-333088-ygdau2px	253	17	the	the	DT
cord-333088-ygdau2px	253	18	overall	overall	JJ
cord-333088-ygdau2px	253	19	complexity	complexity	NN
cord-333088-ygdau2px	253	20	of	of	IN
cord-333088-ygdau2px	253	21	the	the	DT
cord-333088-ygdau2px	253	22	stochastic	stochastic	JJ
cord-333088-ygdau2px	253	23	time	time	NN
cord-333088-ygdau2px	253	24	series	series	NN
cord-333088-ygdau2px	253	25	,	,	,
cord-333088-ygdau2px	253	26	which	which	WDT
cord-333088-ygdau2px	253	27	results	result	VBZ
cord-333088-ygdau2px	253	28	from	from	IN
cord-333088-ygdau2px	253	29	nontrivial	nontrivial	JJ
cord-333088-ygdau2px	253	30	correlation	correlation	NN
cord-333088-ygdau2px	253	31	patterns	pattern	NNS
cord-333088-ygdau2px	253	32	present	present	JJ
cord-333088-ygdau2px	253	33	in	in	IN
cord-333088-ygdau2px	253	34	the	the	DT
cord-333088-ygdau2px	253	35	susceptible	susceptible	JJ
cord-333088-ygdau2px	253	36	-	-	HYPH
cord-333088-ygdau2px	253	37	infective	infective	JJ
cord-333088-ygdau2px	253	38	dynamics	dynamic	NNS
cord-333088-ygdau2px	253	39	.	.	.
cord-333088-ygdau2px	254	1	The	the	DT
cord-333088-ygdau2px	254	2	threeparameter	threeparameter	NN
cord-333088-ygdau2px	254	3	incidence	incidence	NN
cord-333088-ygdau2px	254	4	function	function	NN
cord-333088-ygdau2px	254	5	kS	ks	ADD
cord-333088-ygdau2px	255	1	p	p	NN
cord-333088-ygdau2px	255	2	I	-PRON-	PRP
cord-333088-ygdau2px	255	3	q	q	NN
cord-333088-ygdau2px	255	4	of	of	IN
cord-333088-ygdau2px	255	5	the	the	DT
cord-333088-ygdau2px	255	6	full	full	JJ
cord-333088-ygdau2px	255	7	HM	HM	NNP
cord-333088-ygdau2px	255	8	model	model	NN
cord-333088-ygdau2px	255	9	may	may	MD
cord-333088-ygdau2px	255	10	not	not	RB
cord-333088-ygdau2px	255	11	have	have	VB
cord-333088-ygdau2px	255	12	sufficient	sufficient	JJ
cord-333088-ygdau2px	255	13	flexibility	flexibility	NN
cord-333088-ygdau2px	255	14	to	to	TO
cord-333088-ygdau2px	255	15	adequately	adequately	RB
cord-333088-ygdau2px	255	16	fit	fit	VB
cord-333088-ygdau2px	255	17	the	the	DT
cord-333088-ygdau2px	255	18	cyclic	cyclic	JJ
cord-333088-ygdau2px	255	19	incidence	incidence	NN
cord-333088-ygdau2px	255	20	pattern	pattern	NN
cord-333088-ygdau2px	255	21	of	of	IN
cord-333088-ygdau2px	255	22	the	the	DT
cord-333088-ygdau2px	255	23	stochastic	stochastic	JJ
cord-333088-ygdau2px	255	24	system	system	NN
cord-333088-ygdau2px	255	25	.	.	.
cord-333088-ygdau2px	256	1	We	-PRON-	PRP
cord-333088-ygdau2px	256	2	emphasize	emphasize	VBP
cord-333088-ygdau2px	256	3	here	here	RB
cord-333088-ygdau2px	256	4	that	that	IN
cord-333088-ygdau2px	256	5	if	if	IN
cord-333088-ygdau2px	256	6	the	the	DT
cord-333088-ygdau2px	256	7	cycles	cycle	NNS
cord-333088-ygdau2px	256	8	are	be	VBP
cord-333088-ygdau2px	256	9	not	not	RB
cord-333088-ygdau2px	256	10	generated	generate	VBN
cord-333088-ygdau2px	256	11	intrinsically	intrinsically	RB
cord-333088-ygdau2px	256	12	,	,	,
cord-333088-ygdau2px	256	13	but	but	CC
cord-333088-ygdau2px	256	14	are	be	VBP
cord-333088-ygdau2px	256	15	driven	drive	VBN
cord-333088-ygdau2px	256	16	by	by	IN
cord-333088-ygdau2px	256	17	an	an	DT
cord-333088-ygdau2px	256	18	external	external	JJ
cord-333088-ygdau2px	256	19	variable	variable	NN
cord-333088-ygdau2px	256	20	such	such	JJ
cord-333088-ygdau2px	256	21	as	as	IN
cord-333088-ygdau2px	256	22	a	a	DT
cord-333088-ygdau2px	256	23	periodic	periodic	JJ
cord-333088-ygdau2px	256	24	environmental	environmental	JJ
cord-333088-ygdau2px	256	25	forcing	forcing	NN
cord-333088-ygdau2px	256	26	,	,	,
cord-333088-ygdau2px	256	27	the	the	DT
cord-333088-ygdau2px	256	28	outcome	outcome	NN
cord-333088-ygdau2px	256	29	is	be	VBZ
cord-333088-ygdau2px	256	30	well	well	RB
cord-333088-ygdau2px	256	31	predicted	predict	VBN
cord-333088-ygdau2px	256	32	when	when	WRB
cord-333088-ygdau2px	256	33	an	an	DT
cord-333088-ygdau2px	256	34	appropriate	appropriate	JJ
cord-333088-ygdau2px	256	35	forcing	forcing	NN
cord-333088-ygdau2px	256	36	term	term	NN
cord-333088-ygdau2px	256	37	is	be	VBZ
cord-333088-ygdau2px	256	38	included	include	VBN
cord-333088-ygdau2px	256	39	in	in	IN
cord-333088-ygdau2px	256	40	Eq	Eq	NNP
cord-333088-ygdau2px	256	41	.	.	.
cord-333088-ygdau2px	257	1	(	(	-LRB-
cord-333088-ygdau2px	257	2	2	2	LS
cord-333088-ygdau2px	257	3	)	)	-RRB-
cord-333088-ygdau2px	257	4	(	(	-LRB-
cord-333088-ygdau2px	257	5	results	result	NNS
cord-333088-ygdau2px	257	6	not	not	RB
cord-333088-ygdau2px	257	7	shown	show	VBN
cord-333088-ygdau2px	257	8	)	)	-RRB-
cord-333088-ygdau2px	257	9	.	.	.
cord-333088-ygdau2px	258	1	As	as	IN
cord-333088-ygdau2px	258	2	a	a	DT
cord-333088-ygdau2px	258	3	final	final	JJ
cord-333088-ygdau2px	258	4	note	note	NN
cord-333088-ygdau2px	258	5	,	,	,
cord-333088-ygdau2px	258	6	all	all	DT
cord-333088-ygdau2px	258	7	of	of	IN
cord-333088-ygdau2px	258	8	the	the	DT
cord-333088-ygdau2px	258	9	above	above	JJ
cord-333088-ygdau2px	258	10	observations	observation	NNS
cord-333088-ygdau2px	258	11	for	for	IN
cord-333088-ygdau2px	258	12	both	both	DT
cord-333088-ygdau2px	258	13	stable	stable	JJ
cord-333088-ygdau2px	258	14	equilibria	equilibrium	NNS
cord-333088-ygdau2px	258	15	and	and	CC
cord-333088-ygdau2px	258	16	cyclic	cyclic	JJ
cord-333088-ygdau2px	258	17	epidemic	epidemic	NN
cord-333088-ygdau2px	258	18	patterns	pattern	NNS
cord-333088-ygdau2px	258	19	have	have	VBP
cord-333088-ygdau2px	258	20	been	be	VBN
cord-333088-ygdau2px	258	21	qualitatively	qualitatively	RB
cord-333088-ygdau2px	258	22	validated	validate	VBN
cord-333088-ygdau2px	258	23	for	for	IN
cord-333088-ygdau2px	258	24	multiple	multiple	JJ
cord-333088-ygdau2px	258	25	sets	set	NNS
cord-333088-ygdau2px	258	26	of	of	IN
cord-333088-ygdau2px	258	27	values	value	NNS
cord-333088-ygdau2px	258	28	of	of	IN
cord-333088-ygdau2px	258	29	the	the	DT
cord-333088-ygdau2px	258	30	disease	disease	NN
cord-333088-ygdau2px	258	31	parameters	parameter	NNS
cord-333088-ygdau2px	258	32	b	b	NNP
cord-333088-ygdau2px	258	33	,	,	,
cord-333088-ygdau2px	258	34	g	g	NNP
cord-333088-ygdau2px	258	35	and	and	CC
cord-333088-ygdau2px	258	36	d.	d.	NNP
cord-333088-ygdau2px	258	37	Stochastic	Stochastic	NNP
cord-333088-ygdau2px	258	38	SIRS	SIRS	NNP
cord-333088-ygdau2px	258	39	dynamics	dynamic	NNS
cord-333088-ygdau2px	258	40	implemented	implement	VBN
cord-333088-ygdau2px	258	41	on	on	IN
cord-333088-ygdau2px	258	42	a	a	DT
cord-333088-ygdau2px	258	43	network	network	NN
cord-333088-ygdau2px	258	44	with	with	IN
cord-333088-ygdau2px	258	45	varying	vary	VBG
cord-333088-ygdau2px	258	46	degrees	degree	NNS
cord-333088-ygdau2px	258	47	of	of	IN
cord-333088-ygdau2px	258	48	local	local	JJ
cord-333088-ygdau2px	258	49	clustering	clustering	NN
cord-333088-ygdau2px	258	50	can	can	MD
cord-333088-ygdau2px	258	51	generate	generate	VB
cord-333088-ygdau2px	258	52	a	a	DT
cord-333088-ygdau2px	258	53	rich	rich	JJ
cord-333088-ygdau2px	258	54	spectrum	spectrum	NN
cord-333088-ygdau2px	258	55	of	of	IN
cord-333088-ygdau2px	258	56	behaviors	behavior	NNS
cord-333088-ygdau2px	258	57	,	,	,
cord-333088-ygdau2px	258	58	including	include	VBG
cord-333088-ygdau2px	258	59	stable	stable	JJ
cord-333088-ygdau2px	258	60	and	and	CC
cord-333088-ygdau2px	258	61	noisy	noisy	JJ
cord-333088-ygdau2px	258	62	endemic	endemic	JJ
cord-333088-ygdau2px	258	63	equilibria	equilibrium	NNS
cord-333088-ygdau2px	258	64	as	as	RB
cord-333088-ygdau2px	258	65	well	well	RB
cord-333088-ygdau2px	258	66	as	as	IN
cord-333088-ygdau2px	258	67	decaying	decaying	JJ
cord-333088-ygdau2px	258	68	and	and	CC
cord-333088-ygdau2px	258	69	persistent	persistent	JJ
cord-333088-ygdau2px	258	70	cycles	cycle	NNS
cord-333088-ygdau2px	258	71	.	.	.
cord-333088-ygdau2px	259	1	Persistent	persistent	JJ
cord-333088-ygdau2px	259	2	cycles	cycle	NNS
cord-333088-ygdau2px	259	3	arise	arise	VBP
cord-333088-ygdau2px	259	4	in	in	IN
cord-333088-ygdau2px	259	5	our	-PRON-	PRP$
cord-333088-ygdau2px	259	6	system	system	NN
cord-333088-ygdau2px	259	7	even	even	RB
cord-333088-ygdau2px	259	8	though	though	IN
cord-333088-ygdau2px	259	9	the	the	DT
cord-333088-ygdau2px	259	10	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	259	11	mean	mean	NN
cord-333088-ygdau2px	259	12	-	-	HYPH
cord-333088-ygdau2px	259	13	field	field	NN
cord-333088-ygdau2px	259	14	dynamics	dynamic	NNS
cord-333088-ygdau2px	259	15	do	do	VBP
cord-333088-ygdau2px	259	16	not	not	RB
cord-333088-ygdau2px	259	17	have	have	VB
cord-333088-ygdau2px	259	18	oscillatory	oscillatory	JJ
cord-333088-ygdau2px	259	19	solutions	solution	NNS
cord-333088-ygdau2px	259	20	,	,	,
cord-333088-ygdau2px	259	21	thereby	thereby	RB
cord-333088-ygdau2px	259	22	revealing	reveal	VBG
cord-333088-ygdau2px	259	23	an	an	DT
cord-333088-ygdau2px	259	24	interesting	interesting	JJ
cord-333088-ygdau2px	259	25	interplay	interplay	NN
cord-333088-ygdau2px	259	26	of	of	IN
cord-333088-ygdau2px	259	27	network	network	NN
cord-333088-ygdau2px	259	28	structure	structure	NN
cord-333088-ygdau2px	259	29	and	and	CC
cord-333088-ygdau2px	259	30	disease	disease	NN
cord-333088-ygdau2px	259	31	dynamics	dynamic	NNS
cord-333088-ygdau2px	259	32	(	(	-LRB-
cord-333088-ygdau2px	259	33	also	also	RB
cord-333088-ygdau2px	259	34	see	see	VB
cord-333088-ygdau2px	259	35	Rand	Rand	NNP
cord-333088-ygdau2px	259	36	,	,	,
cord-333088-ygdau2px	259	37	1999	1999	CD
cord-333088-ygdau2px	259	38	)	)	-RRB-
cord-333088-ygdau2px	259	39	.	.	.
cord-333088-ygdau2px	260	1	Our	-PRON-	PRP$
cord-333088-ygdau2px	260	2	results	result	NNS
cord-333088-ygdau2px	260	3	demonstrate	demonstrate	VBP
cord-333088-ygdau2px	260	4	that	that	IN
cord-333088-ygdau2px	260	5	a	a	DT
cord-333088-ygdau2px	260	6	three	three	CD
cord-333088-ygdau2px	260	7	-	-	HYPH
cord-333088-ygdau2px	260	8	variable	variable	JJ
cord-333088-ygdau2px	260	9	epidemic	epidemic	NN
cord-333088-ygdau2px	260	10	model	model	NN
cord-333088-ygdau2px	260	11	with	with	IN
cord-333088-ygdau2px	260	12	a	a	DT
cord-333088-ygdau2px	260	13	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	260	14	incidence	incidence	NN
cord-333088-ygdau2px	260	15	function	function	NN
cord-333088-ygdau2px	260	16	kS	ks	ADD
cord-333088-ygdau2px	261	1	p	p	NN
cord-333088-ygdau2px	261	2	I	-PRON-	PRP
cord-333088-ygdau2px	261	3	q	q	NNP
cord-333088-ygdau2px	261	4	,	,	,
cord-333088-ygdau2px	261	5	consisting	consist	VBG
cord-333088-ygdau2px	261	6	of	of	IN
cord-333088-ygdau2px	261	7	three	three	CD
cord-333088-ygdau2px	261	8	'	'	POS
cord-333088-ygdau2px	261	9	'	'	``
cord-333088-ygdau2px	261	10	heterogeneity	heterogeneity	NN
cord-333088-ygdau2px	261	11	''	''	''
cord-333088-ygdau2px	261	12	parameters	parameter	NNS
cord-333088-ygdau2px	261	13	[	[	-LRB-
cord-333088-ygdau2px	261	14	k	k	NNP
cord-333088-ygdau2px	261	15	,	,	,
cord-333088-ygdau2px	261	16	p	p	NNP
cord-333088-ygdau2px	261	17	,	,	,
cord-333088-ygdau2px	261	18	q	q	NNP
cord-333088-ygdau2px	261	19	]	]	-RRB-
cord-333088-ygdau2px	261	20	,	,	,
cord-333088-ygdau2px	261	21	is	be	VBZ
cord-333088-ygdau2px	261	22	capable	capable	JJ
cord-333088-ygdau2px	261	23	of	of	IN
cord-333088-ygdau2px	261	24	predicting	predict	VBG
cord-333088-ygdau2px	261	25	the	the	DT
cord-333088-ygdau2px	261	26	disease	disease	NN
cord-333088-ygdau2px	261	27	transmission	transmission	NN
cord-333088-ygdau2px	261	28	patterns	pattern	NNS
cord-333088-ygdau2px	261	29	,	,	,
cord-333088-ygdau2px	261	30	including	include	VBG
cord-333088-ygdau2px	261	31	the	the	DT
cord-333088-ygdau2px	261	32	transient	transient	JJ
cord-333088-ygdau2px	261	33	and	and	CC
cord-333088-ygdau2px	261	34	stable	stable	JJ
cord-333088-ygdau2px	261	35	equilibrium	equilibrium	NN
cord-333088-ygdau2px	261	36	prevalence	prevalence	NN
cord-333088-ygdau2px	261	37	,	,	,
cord-333088-ygdau2px	261	38	in	in	IN
cord-333088-ygdau2px	261	39	a	a	DT
cord-333088-ygdau2px	261	40	clustered	clustered	JJ
cord-333088-ygdau2px	261	41	network	network	NN
cord-333088-ygdau2px	261	42	.	.	.
cord-333088-ygdau2px	262	1	The	the	DT
cord-333088-ygdau2px	262	2	relatively	relatively	RB
cord-333088-ygdau2px	262	3	simpler	simple	JJR
cord-333088-ygdau2px	262	4	(	(	-LRB-
cord-333088-ygdau2px	262	5	and	and	CC
cord-333088-ygdau2px	262	6	more	more	JJR
cord-333088-ygdau2px	262	7	standard	standard	JJ
cord-333088-ygdau2px	262	8	)	)	-RRB-
cord-333088-ygdau2px	262	9	form	form	NN
cord-333088-ygdau2px	263	1	S	S	NNP
cord-333088-ygdau2px	263	2	pr	pr	NNP
cord-333088-ygdau2px	264	1	I	-PRON-	PRP
cord-333088-ygdau2px	264	2	qr	qr	VBP
cord-333088-ygdau2px	264	3	with	with	IN
cord-333088-ygdau2px	264	4	two	two	CD
cord-333088-ygdau2px	264	5	parameters	parameter	NNS
cord-333088-ygdau2px	264	6	[	[	-LRB-
cord-333088-ygdau2px	264	7	p	p	NN
cord-333088-ygdau2px	264	8	r	r	NN
cord-333088-ygdau2px	265	1	,	,	,
cord-333088-ygdau2px	265	2	q	q	NNP
cord-333088-ygdau2px	265	3	r	r	NNP
cord-333088-ygdau2px	265	4	]	]	-RRB-
cord-333088-ygdau2px	265	5	falls	fall	VBZ
cord-333088-ygdau2px	265	6	short	short	JJ
cord-333088-ygdau2px	265	7	in	in	IN
cord-333088-ygdau2px	265	8	this	this	DT
cord-333088-ygdau2px	265	9	regard	regard	NN
cord-333088-ygdau2px	265	10	.	.	.
cord-333088-ygdau2px	266	1	This	this	DT
cord-333088-ygdau2px	266	2	restrictive	restrictive	JJ
cord-333088-ygdau2px	266	3	model	model	NN
cord-333088-ygdau2px	266	4	,	,	,
cord-333088-ygdau2px	266	5	however	however	RB
cord-333088-ygdau2px	266	6	,	,	,
cord-333088-ygdau2px	266	7	is	be	VBZ
cord-333088-ygdau2px	266	8	an	an	DT
cord-333088-ygdau2px	266	9	adequate	adequate	JJ
cord-333088-ygdau2px	266	10	predictor	predictor	NN
cord-333088-ygdau2px	266	11	of	of	IN
cord-333088-ygdau2px	266	12	the	the	DT
cord-333088-ygdau2px	266	13	dynamics	dynamic	NNS
cord-333088-ygdau2px	266	14	in	in	IN
cord-333088-ygdau2px	266	15	a	a	DT
cord-333088-ygdau2px	266	16	random	random	JJ
cord-333088-ygdau2px	266	17	network	network	NN
cord-333088-ygdau2px	266	18	,	,	,
cord-333088-ygdau2px	266	19	for	for	IN
cord-333088-ygdau2px	266	20	which	which	WDT
cord-333088-ygdau2px	266	21	the	the	DT
cord-333088-ygdau2px	266	22	bilinear	bilinear	JJ
cord-333088-ygdau2px	266	23	mean	mean	JJ
cord-333088-ygdau2px	266	24	-	-	HYPH
cord-333088-ygdau2px	266	25	field	field	NN
cord-333088-ygdau2px	266	26	approximation	approximation	NN
cord-333088-ygdau2px	266	27	can	can	MD
cord-333088-ygdau2px	266	28	not	not	RB
cord-333088-ygdau2px	266	29	explain	explain	VB
cord-333088-ygdau2px	266	30	the	the	DT
cord-333088-ygdau2px	266	31	transient	transient	JJ
cord-333088-ygdau2px	266	32	pattern	pattern	NN
cord-333088-ygdau2px	266	33	.	.	.
cord-333088-ygdau2px	267	1	Interestingly	interestingly	RB
cord-333088-ygdau2px	267	2	,	,	,
cord-333088-ygdau2px	267	3	even	even	RB
cord-333088-ygdau2px	267	4	the	the	DT
cord-333088-ygdau2px	267	5	function	function	NN
cord-333088-ygdau2px	267	6	kS	ks	ADD
cord-333088-ygdau2px	268	1	p	p	NN
cord-333088-ygdau2px	269	1	I	-PRON-	PRP
cord-333088-ygdau2px	269	2	q	q	VBP
cord-333088-ygdau2px	269	3	can	can	MD
cord-333088-ygdau2px	269	4	not	not	RB
cord-333088-ygdau2px	269	5	capture	capture	VB
cord-333088-ygdau2px	269	6	the	the	DT
cord-333088-ygdau2px	269	7	complex	complex	JJ
cord-333088-ygdau2px	269	8	dynamics	dynamic	NNS
cord-333088-ygdau2px	269	9	of	of	IN
cord-333088-ygdau2px	269	10	persistent	persistent	JJ
cord-333088-ygdau2px	269	11	cycles	cycle	NNS
cord-333088-ygdau2px	269	12	in	in	IN
cord-333088-ygdau2px	269	13	a	a	DT
cord-333088-ygdau2px	269	14	small	small	JJ
cord-333088-ygdau2px	269	15	-	-	HYPH
cord-333088-ygdau2px	269	16	world	world	NN
cord-333088-ygdau2px	269	17	network	network	NN
cord-333088-ygdau2px	269	18	that	that	WDT
cord-333088-ygdau2px	269	19	has	have	VBZ
cord-333088-ygdau2px	269	20	simultaneously	simultaneously	RB
cord-333088-ygdau2px	269	21	high	high	JJ
cord-333088-ygdau2px	269	22	local	local	JJ
cord-333088-ygdau2px	269	23	clustering	clustering	NN
cord-333088-ygdau2px	269	24	and	and	CC
cord-333088-ygdau2px	269	25	long	long	JJ
cord-333088-ygdau2px	269	26	-	-	HYPH
cord-333088-ygdau2px	269	27	distance	distance	NN
cord-333088-ygdau2px	269	28	connectivity	connectivity	NN
cord-333088-ygdau2px	269	29	.	.	.
cord-333088-ygdau2px	270	1	It	-PRON-	PRP
cord-333088-ygdau2px	270	2	is	be	VBZ
cord-333088-ygdau2px	270	3	worth	worth	JJ
cord-333088-ygdau2px	270	4	noting	note	VBG
cord-333088-ygdau2px	270	5	,	,	,
cord-333088-ygdau2px	270	6	however	however	RB
cord-333088-ygdau2px	270	7	,	,	,
cord-333088-ygdau2px	270	8	that	that	IN
cord-333088-ygdau2px	270	9	such	such	JJ
cord-333088-ygdau2px	270	10	persistent	persistent	JJ
cord-333088-ygdau2px	270	11	cycles	cycle	NNS
cord-333088-ygdau2px	270	12	appear	appear	VBP
cord-333088-ygdau2px	270	13	within	within	IN
cord-333088-ygdau2px	270	14	a	a	DT
cord-333088-ygdau2px	270	15	small	small	JJ
cord-333088-ygdau2px	270	16	region	region	NN
cord-333088-ygdau2px	270	17	of	of	IN
cord-333088-ygdau2px	270	18	the	the	DT
cord-333088-ygdau2px	270	19	parameter	parameter	NN
cord-333088-ygdau2px	270	20	space	space	NN
cord-333088-ygdau2px	270	21	for	for	IN
cord-333088-ygdau2px	270	22	f	f	NNP
cord-333088-ygdau2px	270	23	,	,	,
cord-333088-ygdau2px	270	24	and	and	CC
cord-333088-ygdau2px	270	25	therefore	therefore	RB
cord-333088-ygdau2px	270	26	the	the	DT
cord-333088-ygdau2px	270	27	HM	HM	NNP
cord-333088-ygdau2px	270	28	model	model	NN
cord-333088-ygdau2px	270	29	appears	appear	VBZ
cord-333088-ygdau2px	270	30	to	to	TO
cord-333088-ygdau2px	270	31	provide	provide	VB
cord-333088-ygdau2px	270	32	a	a	DT
cord-333088-ygdau2px	270	33	reasonable	reasonable	JJ
cord-333088-ygdau2px	270	34	approximation	approximation	NN
cord-333088-ygdau2px	270	35	for	for	IN
cord-333088-ygdau2px	270	36	most	most	JJS
cord-333088-ygdau2px	270	37	cases	case	NNS
cord-333088-ygdau2px	270	38	of	of	IN
cord-333088-ygdau2px	270	39	clustered	cluster	VBN
cord-333088-ygdau2px	270	40	as	as	RB
cord-333088-ygdau2px	270	41	well	well	RB
cord-333088-ygdau2px	270	42	as	as	IN
cord-333088-ygdau2px	270	43	randomized	randomized	JJ
cord-333088-ygdau2px	270	44	networks	network	NNS
cord-333088-ygdau2px	270	45	.	.	.
cord-333088-ygdau2px	271	1	An	an	DT
cord-333088-ygdau2px	271	2	implication	implication	NN
cord-333088-ygdau2px	271	3	of	of	IN
cord-333088-ygdau2px	271	4	these	these	DT
cord-333088-ygdau2px	271	5	findings	finding	NNS
cord-333088-ygdau2px	271	6	is	be	VBZ
cord-333088-ygdau2px	271	7	that	that	IN
cord-333088-ygdau2px	271	8	an	an	DT
cord-333088-ygdau2px	271	9	approximate	approximate	JJ
cord-333088-ygdau2px	271	10	relationship	relationship	NN
cord-333088-ygdau2px	271	11	is	be	VBZ
cord-333088-ygdau2px	271	12	established	establish	VBN
cord-333088-ygdau2px	271	13	early	early	RB
cord-333088-ygdau2px	271	14	on	on	RB
cord-333088-ygdau2px	271	15	in	in	IN
cord-333088-ygdau2px	271	16	the	the	DT
cord-333088-ygdau2px	271	17	transients	transient	NNS
cord-333088-ygdau2px	271	18	,	,	,
cord-333088-ygdau2px	271	19	lasting	last	VBG
cord-333088-ygdau2px	271	20	all	all	PDT
cord-333088-ygdau2px	271	21	the	the	DT
cord-333088-ygdau2px	271	22	way	way	NN
cord-333088-ygdau2px	271	23	to	to	IN
cord-333088-ygdau2px	271	24	equilibrium	equilibrium	NN
cord-333088-ygdau2px	271	25	,	,	,
cord-333088-ygdau2px	271	26	between	between	IN
cord-333088-ygdau2px	271	27	the	the	DT
cord-333088-ygdau2px	271	28	covariance	covariance	NN
cord-333088-ygdau2px	271	29	structure	structure	NN
cord-333088-ygdau2px	271	30	of	of	IN
cord-333088-ygdau2px	271	31	the	the	DT
cord-333088-ygdau2px	271	32	[	[	-LRB-
cord-333088-ygdau2px	271	33	SI	SI	NNP
cord-333088-ygdau2px	271	34	]	]	-RRB-
cord-333088-ygdau2px	271	35	pairs	pair	NNS
cord-333088-ygdau2px	271	36	and	and	CC
cord-333088-ygdau2px	271	37	the	the	DT
cord-333088-ygdau2px	271	38	global	global	JJ
cord-333088-ygdau2px	271	39	(	(	-LRB-
cord-333088-ygdau2px	271	40	mean	mean	VB
cord-333088-ygdau2px	271	41	)	)	-RRB-
cord-333088-ygdau2px	271	42	quantities	quantity	NNS
cord-333088-ygdau2px	271	43	S	s	NN
cord-333088-ygdau2px	271	44	and	and	CC
cord-333088-ygdau2px	272	1	I.	I.	NNP
cord-333088-ygdau2px	272	2	This	this	DT
cord-333088-ygdau2px	272	3	relationship	relationship	NN
cord-333088-ygdau2px	272	4	is	be	VBZ
cord-333088-ygdau2px	272	5	given	give	VBN
cord-333088-ygdau2px	272	6	by	by	IN
cord-333088-ygdau2px	272	7	a	a	DT
cord-333088-ygdau2px	272	8	double	double	JJ
cord-333088-ygdau2px	272	9	power	power	NN
cord-333088-ygdau2px	272	10	law	law	NN
cord-333088-ygdau2px	272	11	of	of	IN
cord-333088-ygdau2px	272	12	the	the	DT
cord-333088-ygdau2px	272	13	number	number	NN
cord-333088-ygdau2px	272	14	of	of	IN
cord-333088-ygdau2px	272	15	susceptible	susceptible	JJ
cord-333088-ygdau2px	272	16	and	and	CC
cord-333088-ygdau2px	272	17	infective	infective	JJ
cord-333088-ygdau2px	272	18	individuals	individual	NNS
cord-333088-ygdau2px	272	19	.	.	.
cord-333088-ygdau2px	273	1	It	-PRON-	PRP
cord-333088-ygdau2px	273	2	allows	allow	VBZ
cord-333088-ygdau2px	273	3	the	the	DT
cord-333088-ygdau2px	273	4	closure	closure	NN
cord-333088-ygdau2px	273	5	of	of	IN
cord-333088-ygdau2px	273	6	the	the	DT
cord-333088-ygdau2px	273	7	equations	equation	NNS
cord-333088-ygdau2px	273	8	for	for	IN
cord-333088-ygdau2px	273	9	mean	mean	JJ
cord-333088-ygdau2px	273	10	quantities	quantity	NNS
cord-333088-ygdau2px	273	11	,	,	,
cord-333088-ygdau2px	273	12	making	make	VBG
cord-333088-ygdau2px	273	13	it	-PRON-	PRP
cord-333088-ygdau2px	273	14	possible	possible	JJ
cord-333088-ygdau2px	273	15	to	to	TO
cord-333088-ygdau2px	273	16	approximate	approximate	VB
cord-333088-ygdau2px	273	17	the	the	DT
cord-333088-ygdau2px	273	18	stochastic	stochastic	JJ
cord-333088-ygdau2px	273	19	dynamics	dynamic	NNS
cord-333088-ygdau2px	273	20	with	with	IN
cord-333088-ygdau2px	273	21	a	a	DT
cord-333088-ygdau2px	273	22	simple	simple	JJ
cord-333088-ygdau2px	273	23	model	model	NN
cord-333088-ygdau2px	273	24	(	(	-LRB-
cord-333088-ygdau2px	273	25	HM	HM	NNP
cord-333088-ygdau2px	273	26	)	)	-RRB-
cord-333088-ygdau2px	273	27	that	that	WDT
cord-333088-ygdau2px	273	28	mimics	mimic	VBZ
cord-333088-ygdau2px	273	29	the	the	DT
cord-333088-ygdau2px	273	30	basic	basic	JJ
cord-333088-ygdau2px	273	31	formulation	formulation	NN
cord-333088-ygdau2px	273	32	of	of	IN
cord-333088-ygdau2px	273	33	the	the	DT
cord-333088-ygdau2px	273	34	mean	mean	JJ
cord-333088-ygdau2px	273	35	-	-	HYPH
cord-333088-ygdau2px	273	36	field	field	NN
cord-333088-ygdau2px	273	37	equations	equation	NNS
cord-333088-ygdau2px	273	38	but	but	CC
cord-333088-ygdau2px	273	39	with	with	IN
cord-333088-ygdau2px	273	40	modified	modify	VBN
cord-333088-ygdau2px	273	41	functional	functional	JJ
cord-333088-ygdau2px	273	42	forms	form	NNS
cord-333088-ygdau2px	273	43	.	.	.
cord-333088-ygdau2px	274	1	It	-PRON-	PRP
cord-333088-ygdau2px	274	2	reveals	reveal	VBZ
cord-333088-ygdau2px	274	3	an	an	DT
cord-333088-ygdau2px	274	4	interesting	interesting	JJ
cord-333088-ygdau2px	274	5	scaling	scaling	NN
cord-333088-ygdau2px	274	6	pattern	pattern	NN
cord-333088-ygdau2px	274	7	from	from	IN
cord-333088-ygdau2px	274	8	individual	individual	JJ
cord-333088-ygdau2px	274	9	to	to	IN
cord-333088-ygdau2px	274	10	population	population	NN
cord-333088-ygdau2px	274	11	dynamics	dynamic	NNS
cord-333088-ygdau2px	274	12	,	,	,
cord-333088-ygdau2px	274	13	governed	govern	VBN
cord-333088-ygdau2px	274	14	by	by	IN
cord-333088-ygdau2px	274	15	the	the	DT
cord-333088-ygdau2px	274	16	underlying	underlie	VBG
cord-333088-ygdau2px	274	17	contact	contact	NN
cord-333088-ygdau2px	274	18	structure	structure	NN
cord-333088-ygdau2px	274	19	of	of	IN
cord-333088-ygdau2px	274	20	the	the	DT
cord-333088-ygdau2px	274	21	network	network	NN
cord-333088-ygdau2px	274	22	.	.	.
cord-333088-ygdau2px	275	1	In	in	IN
cord-333088-ygdau2px	275	2	lattice	lattice	NN
cord-333088-ygdau2px	275	3	models	model	NNS
cord-333088-ygdau2px	275	4	for	for	IN
cord-333088-ygdau2px	275	5	antagonistic	antagonistic	JJ
cord-333088-ygdau2px	275	6	interactions	interaction	NNS
cord-333088-ygdau2px	275	7	,	,	,
cord-333088-ygdau2px	275	8	which	which	WDT
cord-333088-ygdau2px	275	9	bear	bear	VBP
cord-333088-ygdau2px	275	10	a	a	DT
cord-333088-ygdau2px	275	11	strong	strong	JJ
cord-333088-ygdau2px	275	12	similarity	similarity	NN
cord-333088-ygdau2px	275	13	to	to	IN
cord-333088-ygdau2px	275	14	our	-PRON-	PRP$
cord-333088-ygdau2px	275	15	stochastic	stochastic	JJ
cord-333088-ygdau2px	275	16	disease	disease	NN
cord-333088-ygdau2px	275	17	system	system	NN
cord-333088-ygdau2px	275	18	,	,	,
cord-333088-ygdau2px	275	19	a	a	DT
cord-333088-ygdau2px	275	20	number	number	NN
cord-333088-ygdau2px	275	21	of	of	IN
cord-333088-ygdau2px	275	22	power	power	NN
cord-333088-ygdau2px	275	23	-	-	HYPH
cord-333088-ygdau2px	275	24	law	law	NN
cord-333088-ygdau2px	275	25	scalings	scaling	NNS
cord-333088-ygdau2px	275	26	have	have	VBP
cord-333088-ygdau2px	275	27	been	be	VBN
cord-333088-ygdau2px	275	28	described	describe	VBN
cord-333088-ygdau2px	275	29	for	for	IN
cord-333088-ygdau2px	275	30	the	the	DT
cord-333088-ygdau2px	275	31	geometry	geometry	NN
cord-333088-ygdau2px	275	32	of	of	IN
cord-333088-ygdau2px	275	33	the	the	DT
cord-333088-ygdau2px	275	34	clusters	cluster	NNS
cord-333088-ygdau2px	275	35	(	(	-LRB-
cord-333088-ygdau2px	275	36	Pascual	Pascual	NNP
cord-333088-ygdau2px	275	37	et	et	NNP
cord-333088-ygdau2px	275	38	al	al	NNP
cord-333088-ygdau2px	275	39	.	.	NNP
cord-333088-ygdau2px	275	40	,	,	,
cord-333088-ygdau2px	275	41	2002	2002	CD
cord-333088-ygdau2px	275	42	)	)	-RRB-
cord-333088-ygdau2px	275	43	.	.	.
cord-333088-ygdau2px	276	1	It	-PRON-	PRP
cord-333088-ygdau2px	276	2	is	be	VBZ
cord-333088-ygdau2px	276	3	an	an	DT
cord-333088-ygdau2px	276	4	open	open	JJ
cord-333088-ygdau2px	276	5	question	question	NN
cord-333088-ygdau2px	276	6	whether	whether	IN
cord-333088-ygdau2px	276	7	the	the	DT
cord-333088-ygdau2px	276	8	exponents	exponent	NNS
cord-333088-ygdau2px	276	9	for	for	IN
cord-333088-ygdau2px	276	10	the	the	DT
cord-333088-ygdau2px	276	11	dynamic	dynamic	JJ
cord-333088-ygdau2px	276	12	scaling	scaling	NN
cord-333088-ygdau2px	276	13	(	(	-LRB-
cord-333088-ygdau2px	276	14	i.e.	i.e.	FW
cord-333088-ygdau2px	276	15	,	,	,
cord-333088-ygdau2px	276	16	parameters	parameter	NNS
cord-333088-ygdau2px	276	17	p	p	NN
cord-333088-ygdau2px	276	18	and	and	CC
cord-333088-ygdau2px	276	19	q	q	NNP
cord-333088-ygdau2px	276	20	here	here	RB
cord-333088-ygdau2px	276	21	)	)	-RRB-
cord-333088-ygdau2px	276	22	can	can	MD
cord-333088-ygdau2px	276	23	be	be	VB
cord-333088-ygdau2px	276	24	derived	derive	VBN
cord-333088-ygdau2px	276	25	from	from	IN
cord-333088-ygdau2px	276	26	such	such	JJ
cord-333088-ygdau2px	276	27	geometrical	geometrical	JJ
cord-333088-ygdau2px	276	28	properties	property	NNS
cord-333088-ygdau2px	276	29	.	.	.
cord-333088-ygdau2px	277	1	It	-PRON-	PRP
cord-333088-ygdau2px	277	2	also	also	RB
cord-333088-ygdau2px	277	3	needs	need	VBZ
cord-333088-ygdau2px	277	4	to	to	TO
cord-333088-ygdau2px	277	5	be	be	VB
cord-333088-ygdau2px	277	6	determined	determine	VBN
cord-333088-ygdau2px	277	7	under	under	IN
cord-333088-ygdau2px	277	8	what	what	WDT
cord-333088-ygdau2px	277	9	conditions	condition	NNS
cord-333088-ygdau2px	277	10	power	power	NN
cord-333088-ygdau2px	277	11	-	-	HYPH
cord-333088-ygdau2px	277	12	law	law	NN
cord-333088-ygdau2px	277	13	relationships	relationship	NNS
cord-333088-ygdau2px	277	14	will	will	MD
cord-333088-ygdau2px	277	15	hold	hold	VB
cord-333088-ygdau2px	277	16	between	between	IN
cord-333088-ygdau2px	277	17	local	local	JJ
cord-333088-ygdau2px	277	18	structure	structure	NN
cord-333088-ygdau2px	277	19	and	and	CC
cord-333088-ygdau2px	277	20	global	global	JJ
cord-333088-ygdau2px	277	21	quantities	quantity	NNS
cord-333088-ygdau2px	277	22	.	.	.
cord-333088-ygdau2px	278	1	The	the	DT
cord-333088-ygdau2px	278	2	failure	failure	NN
cord-333088-ygdau2px	278	3	of	of	IN
cord-333088-ygdau2px	278	4	the	the	DT
cord-333088-ygdau2px	278	5	HM	HM	NNP
cord-333088-ygdau2px	278	6	model	model	NN
cord-333088-ygdau2px	278	7	to	to	TO
cord-333088-ygdau2px	278	8	generate	generate	VB
cord-333088-ygdau2px	278	9	persistent	persistent	JJ
cord-333088-ygdau2px	278	10	cycles	cycle	NNS
cord-333088-ygdau2px	278	11	may	may	MD
cord-333088-ygdau2px	278	12	result	result	VB
cord-333088-ygdau2px	278	13	from	from	IN
cord-333088-ygdau2px	278	14	an	an	DT
cord-333088-ygdau2px	278	15	inappropriate	inappropriate	JJ
cord-333088-ygdau2px	278	16	choice	choice	NN
cord-333088-ygdau2px	278	17	of	of	IN
cord-333088-ygdau2px	278	18	the	the	DT
cord-333088-ygdau2px	278	19	incidence	incidence	NN
cord-333088-ygdau2px	278	20	function	function	NN
cord-333088-ygdau2px	278	21	kS	ks	ADD
cord-333088-ygdau2px	279	1	p	p	NN
cord-333088-ygdau2px	279	2	I	-PRON-	PRP
cord-333088-ygdau2px	279	3	q	q	NN
cord-333088-ygdau2px	279	4	.	.	.
cord-333088-ygdau2px	280	1	It	-PRON-	PRP
cord-333088-ygdau2px	280	2	remains	remain	VBZ
cord-333088-ygdau2px	280	3	to	to	TO
cord-333088-ygdau2px	280	4	be	be	VB
cord-333088-ygdau2px	280	5	seen	see	VBN
cord-333088-ygdau2px	280	6	if	if	IN
cord-333088-ygdau2px	280	7	there	there	EX
cord-333088-ygdau2px	280	8	exists	exist	VBZ
cord-333088-ygdau2px	280	9	a	a	DT
cord-333088-ygdau2px	280	10	different	different	JJ
cord-333088-ygdau2px	280	11	functional	functional	JJ
cord-333088-ygdau2px	280	12	form	form	NN
cord-333088-ygdau2px	280	13	that	that	WDT
cord-333088-ygdau2px	280	14	better	well	JJR
cord-333088-ygdau2px	280	15	fits	fit	VBZ
cord-333088-ygdau2px	280	16	the	the	DT
cord-333088-ygdau2px	280	17	incidence	incidence	NN
cord-333088-ygdau2px	280	18	rate	rate	NN
cord-333088-ygdau2px	280	19	of	of	IN
cord-333088-ygdau2px	280	20	the	the	DT
cord-333088-ygdau2px	280	21	stochastic	stochastic	JJ
cord-333088-ygdau2px	280	22	system	system	NN
cord-333088-ygdau2px	280	23	and	and	CC
cord-333088-ygdau2px	280	24	is	be	VBZ
cord-333088-ygdau2px	280	25	capable	capable	JJ
cord-333088-ygdau2px	280	26	of	of	IN
cord-333088-ygdau2px	280	27	predicting	predict	VBG
cord-333088-ygdau2px	280	28	the	the	DT
cord-333088-ygdau2px	280	29	variability	variability	NN
cord-333088-ygdau2px	280	30	in	in	IN
cord-333088-ygdau2px	280	31	the	the	DT
cord-333088-ygdau2px	280	32	data	datum	NNS
cord-333088-ygdau2px	280	33	.	.	.
cord-333088-ygdau2px	281	1	It	-PRON-	PRP
cord-333088-ygdau2px	281	2	is	be	VBZ
cord-333088-ygdau2px	281	3	also	also	RB
cord-333088-ygdau2px	281	4	not	not	RB
cord-333088-ygdau2px	281	5	known	know	VBN
cord-333088-ygdau2px	281	6	whether	whether	IN
cord-333088-ygdau2px	281	7	a	a	DT
cord-333088-ygdau2px	281	8	moment	moment	NN
cord-333088-ygdau2px	281	9	closure	closure	NN
cord-333088-ygdau2px	281	10	method	method	NN
cord-333088-ygdau2px	281	11	including	include	VBG
cord-333088-ygdau2px	281	12	the	the	DT
cord-333088-ygdau2px	281	13	explicit	explicit	JJ
cord-333088-ygdau2px	281	14	dynamics	dynamic	NNS
cord-333088-ygdau2px	281	15	of	of	IN
cord-333088-ygdau2px	281	16	the	the	DT
cord-333088-ygdau2px	281	17	covariance	covariance	NN
cord-333088-ygdau2px	281	18	terms	term	NNS
cord-333088-ygdau2px	281	19	themselves	-PRON-	PRP
cord-333088-ygdau2px	281	20	(	(	-LRB-
cord-333088-ygdau2px	281	21	Pacala	Pacala	NNP
cord-333088-ygdau2px	281	22	and	and	CC
cord-333088-ygdau2px	281	23	Levin	Levin	NNP
cord-333088-ygdau2px	281	24	,	,	,
cord-333088-ygdau2px	281	25	1997	1997	CD
cord-333088-ygdau2px	281	26	;	;	:
cord-333088-ygdau2px	281	27	Keeling	Keeling	NNP
cord-333088-ygdau2px	281	28	,	,	,
cord-333088-ygdau2px	281	29	1999	1999	CD
cord-333088-ygdau2px	281	30	)	)	-RRB-
cord-333088-ygdau2px	281	31	can	can	MD
cord-333088-ygdau2px	281	32	provide	provide	VB
cord-333088-ygdau2px	281	33	a	a	DT
cord-333088-ygdau2px	281	34	good	good	JJ
cord-333088-ygdau2px	281	35	approximation	approximation	NN
cord-333088-ygdau2px	281	36	to	to	IN
cord-333088-ygdau2px	281	37	the	the	DT
cord-333088-ygdau2px	281	38	mean	mean	JJ
cord-333088-ygdau2px	281	39	infection	infection	NN
cord-333088-ygdau2px	281	40	level	level	NN
cord-333088-ygdau2px	281	41	in	in	IN
cord-333088-ygdau2px	281	42	a	a	DT
cord-333088-ygdau2px	281	43	network	network	NN
cord-333088-ygdau2px	281	44	with	with	IN
cord-333088-ygdau2px	281	45	high	high	JJ
cord-333088-ygdau2px	281	46	degree	degree	NN
cord-333088-ygdau2px	281	47	of	of	IN
cord-333088-ygdau2px	281	48	local	local	JJ
cord-333088-ygdau2px	281	49	clustering	clustering	NN
cord-333088-ygdau2px	281	50	.	.	.
cord-333088-ygdau2px	282	1	Of	of	RB
cord-333088-ygdau2px	282	2	course	course	RB
cord-333088-ygdau2px	282	3	,	,	,
cord-333088-ygdau2px	282	4	heterogeneities	heterogeneity	NNS
cord-333088-ygdau2px	282	5	in	in	IN
cord-333088-ygdau2px	282	6	space	space	NN
cord-333088-ygdau2px	282	7	or	or	CC
cord-333088-ygdau2px	282	8	in	in	IN
cord-333088-ygdau2px	282	9	contact	contact	NN
cord-333088-ygdau2px	282	10	structure	structure	NN
cord-333088-ygdau2px	282	11	are	be	VBP
cord-333088-ygdau2px	282	12	not	not	RB
cord-333088-ygdau2px	282	13	the	the	DT
cord-333088-ygdau2px	282	14	only	only	JJ
cord-333088-ygdau2px	282	15	factors	factor	NNS
cord-333088-ygdau2px	282	16	contributing	contribute	VBG
cord-333088-ygdau2px	282	17	to	to	IN
cord-333088-ygdau2px	282	18	the	the	DT
cord-333088-ygdau2px	282	19	nonlinearity	nonlinearity	NN
cord-333088-ygdau2px	282	20	in	in	IN
cord-333088-ygdau2px	282	21	the	the	DT
cord-333088-ygdau2px	282	22	transmission	transmission	NN
cord-333088-ygdau2px	282	23	function	function	NN
cord-333088-ygdau2px	282	24	S	s	NN
cord-333088-ygdau2px	282	25	p	p	NN
cord-333088-ygdau2px	282	26	I	i	NN
cord-333088-ygdau2px	282	27	q	q	NN
cord-333088-ygdau2px	282	28	;	;	:
cord-333088-ygdau2px	282	29	a	a	DT
cord-333088-ygdau2px	282	30	number	number	NN
cord-333088-ygdau2px	282	31	of	of	IN
cord-333088-ygdau2px	282	32	other	other	JJ
cord-333088-ygdau2px	282	33	biological	biological	JJ
cord-333088-ygdau2px	282	34	mechanisms	mechanism	NNS
cord-333088-ygdau2px	282	35	of	of	IN
cord-333088-ygdau2px	282	36	transmission	transmission	NN
cord-333088-ygdau2px	282	37	can	can	MD
cord-333088-ygdau2px	282	38	lead	lead	VB
cord-333088-ygdau2px	282	39	to	to	IN
cord-333088-ygdau2px	282	40	such	such	JJ
cord-333088-ygdau2px	282	41	functional	functional	JJ
cord-333088-ygdau2px	282	42	forms	form	NNS
cord-333088-ygdau2px	282	43	.	.	.
cord-333088-ygdau2px	283	1	By	by	IN
cord-333088-ygdau2px	283	2	rewriting	rewrite	VBG
cord-333088-ygdau2px	283	3	bkS	bks	NN
cord-333088-ygdau2px	283	4	p	p	NN
cord-333088-ygdau2px	283	5	I	i	NN
cord-333088-ygdau2px	283	6	q	q	NNP
cord-333088-ygdau2px	283	7	as	as	IN
cord-333088-ygdau2px	283	8	½bkS	½bks	NN
cord-333088-ygdau2px	283	9	pÀ1	pà1	NN
cord-333088-ygdau2px	284	1	I	-PRON-	PRP
cord-333088-ygdau2px	284	2	qÀ1	qà1	VBP
cord-333088-ygdau2px	284	3	SI	SI	NNP
cord-333088-ygdau2px	284	4	bSI	bSI	NNP
cord-333088-ygdau2px	284	5	,	,	,
cord-333088-ygdau2px	284	6	wherebðS	wherebðS	NNP
cord-333088-ygdau2px	284	7	;	;	:
cord-333088-ygdau2px	284	8	IÞ	IÞ	NNP
cord-333088-ygdau2px	284	9	now	now	RB
cord-333088-ygdau2px	284	10	represents	represent	VBZ
cord-333088-ygdau2px	284	11	a	a	DT
cord-333088-ygdau2px	284	12	density	density	NN
cord-333088-ygdau2px	284	13	-	-	HYPH
cord-333088-ygdau2px	284	14	dependent	dependent	JJ
cord-333088-ygdau2px	284	15	transmission	transmission	NN
cord-333088-ygdau2px	284	16	efficiency	efficiency	NN
cord-333088-ygdau2px	284	17	in	in	IN
cord-333088-ygdau2px	284	18	the	the	DT
cord-333088-ygdau2px	284	19	bilinear	bilinear	JJ
cord-333088-ygdau2px	284	20	(	(	-LRB-
cord-333088-ygdau2px	284	21	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	284	22	)	)	-RRB-
cord-333088-ygdau2px	284	23	incidence	incidence	NN
cord-333088-ygdau2px	284	24	framework	framework	NN
cord-333088-ygdau2px	284	25	,	,	,
cord-333088-ygdau2px	284	26	one	one	PRP
cord-333088-ygdau2px	284	27	can	can	MD
cord-333088-ygdau2px	284	28	relateb	relateb	VB
cord-333088-ygdau2px	284	29	to	to	IN
cord-333088-ygdau2px	284	30	a	a	DT
cord-333088-ygdau2px	284	31	variety	variety	NN
cord-333088-ygdau2px	284	32	of	of	IN
cord-333088-ygdau2px	284	33	density	density	NN
cord-333088-ygdau2px	284	34	-	-	HYPH
cord-333088-ygdau2px	284	35	dependent	dependent	JJ
cord-333088-ygdau2px	284	36	processes	process	NNS
cord-333088-ygdau2px	284	37	such	such	JJ
cord-333088-ygdau2px	284	38	as	as	IN
cord-333088-ygdau2px	284	39	those	those	DT
cord-333088-ygdau2px	284	40	involving	involve	VBG
cord-333088-ygdau2px	284	41	vector	vector	NN
cord-333088-ygdau2px	284	42	-	-	HYPH
cord-333088-ygdau2px	284	43	borne	bear	VBN
cord-333088-ygdau2px	284	44	transmission	transmission	NN
cord-333088-ygdau2px	284	45	,	,	,
cord-333088-ygdau2px	284	46	or	or	CC
cord-333088-ygdau2px	284	47	threshold	threshold	NN
cord-333088-ygdau2px	284	48	virus	virus	NN
cord-333088-ygdau2px	284	49	loads	load	NNS
cord-333088-ygdau2px	284	50	etc	etc	FW
cord-333088-ygdau2px	285	1	(	(	-LRB-
cord-333088-ygdau2px	285	2	Liu	Liu	NNP
cord-333088-ygdau2px	285	3	et	et	NNP
cord-333088-ygdau2px	285	4	al	al	NNP
cord-333088-ygdau2px	285	5	.	.	NNP
cord-333088-ygdau2px	285	6	,	,	,
cord-333088-ygdau2px	285	7	1986	1986	CD
cord-333088-ygdau2px	285	8	)	)	-RRB-
cord-333088-ygdau2px	285	9	.	.	.
cord-333088-ygdau2px	286	1	Interestingly	interestingly	RB
cord-333088-ygdau2px	286	2	,	,	,
cord-333088-ygdau2px	286	3	it	-PRON-	PRP
cord-333088-ygdau2px	286	4	has	have	VBZ
cord-333088-ygdau2px	286	5	been	be	VBN
cord-333088-ygdau2px	286	6	suggested	suggest	VBN
cord-333088-ygdau2px	286	7	that	that	IN
cord-333088-ygdau2px	286	8	in	in	IN
cord-333088-ygdau2px	286	9	such	such	JJ
cord-333088-ygdau2px	286	10	cases	case	NNS
cord-333088-ygdau2px	286	11	cyclic	cyclic	JJ
cord-333088-ygdau2px	286	12	dynamics	dynamic	NNS
cord-333088-ygdau2px	286	13	are	be	VBP
cord-333088-ygdau2px	286	14	likely	likely	JJ
cord-333088-ygdau2px	286	15	to	to	TO
cord-333088-ygdau2px	286	16	be	be	VB
cord-333088-ygdau2px	286	17	stabilized	stabilize	VBN
cord-333088-ygdau2px	286	18	,	,	,
cord-333088-ygdau2px	286	19	rather	rather	RB
cord-333088-ygdau2px	286	20	than	than	IN
cord-333088-ygdau2px	286	21	amplified	amplify	VBN
cord-333088-ygdau2px	286	22	,	,	,
cord-333088-ygdau2px	286	23	by	by	IN
cord-333088-ygdau2px	286	24	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	286	25	transmission	transmission	NN
cord-333088-ygdau2px	286	26	(	(	-LRB-
cord-333088-ygdau2px	286	27	Hochberg	Hochberg	NNP
cord-333088-ygdau2px	286	28	,	,	,
cord-333088-ygdau2px	286	29	1991	1991	CD
cord-333088-ygdau2px	286	30	)	)	-RRB-
cord-333088-ygdau2px	286	31	.	.	.
cord-333088-ygdau2px	287	1	It	-PRON-	PRP
cord-333088-ygdau2px	287	2	appears	appear	VBZ
cord-333088-ygdau2px	287	3	then	then	RB
cord-333088-ygdau2px	287	4	that	that	DT
cord-333088-ygdau2px	287	5	network	network	NN
cord-333088-ygdau2px	287	6	structure	structure	NN
cord-333088-ygdau2px	287	7	can	can	MD
cord-333088-ygdau2px	287	8	contribute	contribute	VB
cord-333088-ygdau2px	287	9	to	to	IN
cord-333088-ygdau2px	287	10	the	the	DT
cord-333088-ygdau2px	287	11	cyclic	cyclic	JJ
cord-333088-ygdau2px	287	12	behavior	behavior	NN
cord-333088-ygdau2px	287	13	of	of	IN
cord-333088-ygdau2px	287	14	diseases	disease	NNS
cord-333088-ygdau2px	287	15	with	with	IN
cord-333088-ygdau2px	287	16	relatively	relatively	RB
cord-333088-ygdau2px	287	17	simple	simple	JJ
cord-333088-ygdau2px	287	18	transmission	transmission	NN
cord-333088-ygdau2px	287	19	dynamics	dynamic	NNS
cord-333088-ygdau2px	287	20	.	.	.
cord-333088-ygdau2px	288	1	It	-PRON-	PRP
cord-333088-ygdau2px	288	2	is	be	VBZ
cord-333088-ygdau2px	288	3	interesting	interesting	JJ
cord-333088-ygdau2px	288	4	to	to	TO
cord-333088-ygdau2px	288	5	consider	consider	VB
cord-333088-ygdau2px	288	6	the	the	DT
cord-333088-ygdau2px	288	7	persistent	persistent	JJ
cord-333088-ygdau2px	288	8	cycles	cycle	NNS
cord-333088-ygdau2px	288	9	we	-PRON-	PRP
cord-333088-ygdau2px	288	10	have	have	VBP
cord-333088-ygdau2px	288	11	discussed	discuss	VBN
cord-333088-ygdau2px	288	12	here	here	RB
cord-333088-ygdau2px	288	13	in	in	IN
cord-333088-ygdau2px	288	14	light	light	NN
cord-333088-ygdau2px	288	15	of	of	IN
cord-333088-ygdau2px	288	16	other	other	JJ
cord-333088-ygdau2px	288	17	studies	study	NNS
cord-333088-ygdau2px	288	18	on	on	IN
cord-333088-ygdau2px	288	19	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	288	20	in	in	IN
cord-333088-ygdau2px	288	21	networks	network	NNS
cord-333088-ygdau2px	288	22	.	.	.
cord-333088-ygdau2px	289	1	On	on	IN
cord-333088-ygdau2px	289	2	one	one	CD
cord-333088-ygdau2px	289	3	side	side	NN
cord-333088-ygdau2px	289	4	,	,	,
cord-333088-ygdau2px	289	5	cycles	cycle	NNS
cord-333088-ygdau2px	289	6	have	have	VBP
cord-333088-ygdau2px	289	7	been	be	VBN
cord-333088-ygdau2px	289	8	described	describe	VBN
cord-333088-ygdau2px	289	9	for	for	IN
cord-333088-ygdau2px	289	10	random	random	JJ
cord-333088-ygdau2px	289	11	networks	network	NNS
cord-333088-ygdau2px	289	12	with	with	IN
cord-333088-ygdau2px	289	13	f	f	NN
cord-333088-ygdau2px	289	14	=	=	SYM
cord-333088-ygdau2px	289	15	1	1	CD
cord-333088-ygdau2px	289	16	because	because	IN
cord-333088-ygdau2px	289	17	the	the	DT
cord-333088-ygdau2px	289	18	corresponding	corresponding	JJ
cord-333088-ygdau2px	289	19	well	well	RB
cord-333088-ygdau2px	289	20	-	-	HYPH
cord-333088-ygdau2px	289	21	mixed	mix	VBN
cord-333088-ygdau2px	289	22	dynamics	dynamic	NNS
cord-333088-ygdau2px	289	23	also	also	RB
cord-333088-ygdau2px	289	24	have	have	VBP
cord-333088-ygdau2px	289	25	oscillatory	oscillatory	JJ
cord-333088-ygdau2px	289	26	solutions	solution	NNS
cord-333088-ygdau2px	289	27	(	(	-LRB-
cord-333088-ygdau2px	289	28	Lago	Lago	NNP
cord-333088-ygdau2px	289	29	-	-	HYPH
cord-333088-ygdau2px	289	30	Ferná	Ferná	NNP
cord-333088-ygdau2px	289	31	ndez	ndez	NNP
cord-333088-ygdau2px	289	32	et	et	NNP
cord-333088-ygdau2px	289	33	al	al	NNP
cord-333088-ygdau2px	289	34	.	.	NNP
cord-333088-ygdau2px	289	35	,	,	,
cord-333088-ygdau2px	289	36	2000	2000	CD
cord-333088-ygdau2px	289	37	;	;	:
cord-333088-ygdau2px	289	38	Kuperman	Kuperman	NNP
cord-333088-ygdau2px	289	39	and	and	CC
cord-333088-ygdau2px	289	40	Abramson	Abramson	NNP
cord-333088-ygdau2px	289	41	,	,	,
cord-333088-ygdau2px	289	42	2001	2001	CD
cord-333088-ygdau2px	289	43	)	)	-RRB-
cord-333088-ygdau2px	289	44	.	.	.
cord-333088-ygdau2px	290	1	At	at	IN
cord-333088-ygdau2px	290	2	the	the	DT
cord-333088-ygdau2px	290	3	opposite	opposite	JJ
cord-333088-ygdau2px	290	4	extreme	extreme	NN
cord-333088-ygdau2px	290	5	,	,	,
cord-333088-ygdau2px	290	6	Johansen	Johansen	NNP
cord-333088-ygdau2px	290	7	(	(	-LRB-
cord-333088-ygdau2px	290	8	1996	1996	CD
cord-333088-ygdau2px	290	9	)	)	-RRB-
cord-333088-ygdau2px	290	10	reported	report	VBD
cord-333088-ygdau2px	290	11	persistent	persistent	JJ
cord-333088-ygdau2px	290	12	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	290	13	in	in	IN
cord-333088-ygdau2px	290	14	a	a	DT
cord-333088-ygdau2px	290	15	stochastic	stochastic	JJ
cord-333088-ygdau2px	290	16	SIRS	SIRS	NNP
cord-333088-ygdau2px	290	17	model	model	NN
cord-333088-ygdau2px	290	18	on	on	IN
cord-333088-ygdau2px	290	19	a	a	DT
cord-333088-ygdau2px	290	20	regular	regular	JJ
cord-333088-ygdau2px	290	21	grid	grid	NN
cord-333088-ygdau2px	290	22	(	(	-LRB-
cord-333088-ygdau2px	290	23	f	f	NN
cord-333088-ygdau2px	290	24	=	=	NN
cord-333088-ygdau2px	290	25	0	0	CD
cord-333088-ygdau2px	290	26	)	)	-RRB-
cord-333088-ygdau2px	290	27	,	,	,
cord-333088-ygdau2px	290	28	strictly	strictly	RB
cord-333088-ygdau2px	290	29	generated	generate	VBN
cord-333088-ygdau2px	290	30	by	by	IN
cord-333088-ygdau2px	290	31	the	the	DT
cord-333088-ygdau2px	290	32	local	local	JJ
cord-333088-ygdau2px	290	33	clustering	clustering	NN
cord-333088-ygdau2px	290	34	of	of	IN
cord-333088-ygdau2px	290	35	the	the	DT
cord-333088-ygdau2px	290	36	grid	grid	NN
cord-333088-ygdau2px	290	37	since	since	IN
cord-333088-ygdau2px	290	38	the	the	DT
cord-333088-ygdau2px	290	39	meanfield	meanfield	NNP
cord-333088-ygdau2px	290	40	equations	equation	NNS
cord-333088-ygdau2px	290	41	do	do	VBP
cord-333088-ygdau2px	290	42	not	not	RB
cord-333088-ygdau2px	290	43	permit	permit	VB
cord-333088-ygdau2px	290	44	cycles	cycle	NNS
cord-333088-ygdau2px	290	45	.	.	.
cord-333088-ygdau2px	291	1	Recent	recent	JJ
cord-333088-ygdau2px	291	2	work	work	NN
cord-333088-ygdau2px	291	3	by	by	IN
cord-333088-ygdau2px	291	4	Verdasca	Verdasca	NNP
cord-333088-ygdau2px	291	5	et	et	NNP
cord-333088-ygdau2px	291	6	al	al	NNP
cord-333088-ygdau2px	291	7	.	.	.
cord-333088-ygdau2px	292	1	(	(	-LRB-
cord-333088-ygdau2px	292	2	2005	2005	CD
cord-333088-ygdau2px	292	3	)	)	-RRB-
cord-333088-ygdau2px	292	4	extends	extend	VBZ
cord-333088-ygdau2px	292	5	Johansen	Johansen	NNP
cord-333088-ygdau2px	292	6	's	's	POS
cord-333088-ygdau2px	292	7	observation	observation	NN
cord-333088-ygdau2px	292	8	by	by	IN
cord-333088-ygdau2px	292	9	showing	show	VBG
cord-333088-ygdau2px	292	10	that	that	IN
cord-333088-ygdau2px	292	11	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	292	12	do	do	VBP
cord-333088-ygdau2px	292	13	occur	occur	VB
cord-333088-ygdau2px	292	14	in	in	IN
cord-333088-ygdau2px	292	15	clustered	clustered	JJ
cord-333088-ygdau2px	292	16	networks	network	NNS
cord-333088-ygdau2px	292	17	from	from	IN
cord-333088-ygdau2px	292	18	a	a	DT
cord-333088-ygdau2px	292	19	regular	regular	JJ
cord-333088-ygdau2px	292	20	grid	grid	NN
cord-333088-ygdau2px	292	21	to	to	IN
cord-333088-ygdau2px	292	22	the	the	DT
cord-333088-ygdau2px	292	23	small	small	JJ
cord-333088-ygdau2px	292	24	-	-	HYPH
cord-333088-ygdau2px	292	25	world	world	NN
cord-333088-ygdau2px	292	26	configuration	configuration	NN
cord-333088-ygdau2px	292	27	.	.	.
cord-333088-ygdau2px	293	1	They	-PRON-	PRP
cord-333088-ygdau2px	293	2	describe	describe	VBP
cord-333088-ygdau2px	293	3	a	a	DT
cord-333088-ygdau2px	293	4	percolation	percolation	NN
cord-333088-ygdau2px	293	5	type	type	NN
cord-333088-ygdau2px	293	6	transition	transition	NN
cord-333088-ygdau2px	293	7	across	across	IN
cord-333088-ygdau2px	293	8	the	the	DT
cord-333088-ygdau2px	293	9	small	small	JJ
cord-333088-ygdau2px	293	10	-	-	HYPH
cord-333088-ygdau2px	293	11	world	world	NN
cord-333088-ygdau2px	293	12	region	region	NN
cord-333088-ygdau2px	293	13	,	,	,
cord-333088-ygdau2px	293	14	implying	imply	VBG
cord-333088-ygdau2px	293	15	that	that	IN
cord-333088-ygdau2px	293	16	the	the	DT
cord-333088-ygdau2px	293	17	fluctuations	fluctuation	NNS
cord-333088-ygdau2px	293	18	fall	fall	VBP
cord-333088-ygdau2px	293	19	off	off	RP
cord-333088-ygdau2px	293	20	sharply	sharply	RB
cord-333088-ygdau2px	293	21	within	within	IN
cord-333088-ygdau2px	293	22	this	this	DT
cord-333088-ygdau2px	293	23	narro	narro	NNP
cord-333088-ygdau2px	293	24	terval	terval	NNP
cord-333088-ygdau2px	293	25	.	.	.
cord-333088-ygdau2px	294	1	This	this	DT
cord-333088-ygdau2px	294	2	observation	observation	NN
cord-333088-ygdau2px	294	3	is	be	VBZ
cord-333088-ygdau2px	294	4	in	in	IN
cord-333088-ygdau2px	294	5	significant	significant	JJ
cord-333088-ygdau2px	294	6	contrast	contrast	NN
cord-333088-ygdau2px	294	7	to	to	IN
cord-333088-ygdau2px	294	8	our	-PRON-	PRP$
cord-333088-ygdau2px	294	9	results	result	NNS
cord-333088-ygdau2px	294	10	,	,	,
cord-333088-ygdau2px	294	11	where	where	WRB
cord-333088-ygdau2px	294	12	the	the	DT
cord-333088-ygdau2px	294	13	amplitudes	amplitude	NNS
cord-333088-ygdau2px	294	14	of	of	IN
cord-333088-ygdau2px	294	15	the	the	DT
cord-333088-ygdau2px	294	16	cycles	cycle	NNS
cord-333088-ygdau2px	294	17	are	be	VBP
cord-333088-ygdau2px	294	18	maximized	maximize	VBN
cord-333088-ygdau2px	294	19	by	by	IN
cord-333088-ygdau2px	294	20	the	the	DT
cord-333088-ygdau2px	294	21	small	small	JJ
cord-333088-ygdau2px	294	22	-	-	HYPH
cord-333088-ygdau2px	294	23	world	world	NN
cord-333088-ygdau2px	294	24	configuration	configuration	NN
cord-333088-ygdau2px	294	25	,	,	,
cord-333088-ygdau2px	294	26	and	and	CC
cord-333088-ygdau2px	294	27	therefore	therefore	RB
cord-333088-ygdau2px	294	28	require	require	VB
cord-333088-ygdau2px	294	29	both	both	DT
cord-333088-ygdau2px	294	30	local	local	JJ
cord-333088-ygdau2px	294	31	clustering	clustering	NN
cord-333088-ygdau2px	294	32	and	and	CC
cord-333088-ygdau2px	294	33	some	some	DT
cord-333088-ygdau2px	294	34	degree	degree	NN
cord-333088-ygdau2px	294	35	of	of	IN
cord-333088-ygdau2px	294	36	randomization	randomization	NN
cord-333088-ygdau2px	294	37	.	.	.
cord-333088-ygdau2px	295	1	One	one	CD
cord-333088-ygdau2px	295	2	difference	difference	NN
cord-333088-ygdau2px	295	3	between	between	IN
cord-333088-ygdau2px	295	4	the	the	DT
cord-333088-ygdau2px	295	5	two	two	CD
cord-333088-ygdau2px	295	6	models	model	NNS
cord-333088-ygdau2px	295	7	is	be	VBZ
cord-333088-ygdau2px	295	8	that	that	IN
cord-333088-ygdau2px	295	9	Verdasca	Verdasca	NNP
cord-333088-ygdau2px	295	10	et	et	NNP
cord-333088-ygdau2px	295	11	al	al	NNP
cord-333088-ygdau2px	295	12	.	.	.
cord-333088-ygdau2px	296	1	(	(	-LRB-
cord-333088-ygdau2px	296	2	2005	2005	CD
cord-333088-ygdau2px	296	3	)	)	-RRB-
cord-333088-ygdau2px	296	4	use	use	VBP
cord-333088-ygdau2px	296	5	a	a	DT
cord-333088-ygdau2px	296	6	discrete	discrete	JJ
cord-333088-ygdau2px	296	7	time	time	NN
cord-333088-ygdau2px	296	8	step	step	NN
cord-333088-ygdau2px	296	9	for	for	IN
cord-333088-ygdau2px	296	10	the	the	DT
cord-333088-ygdau2px	296	11	recovery	recovery	NN
cord-333088-ygdau2px	296	12	of	of	IN
cord-333088-ygdau2px	296	13	infected	infected	JJ
cord-333088-ygdau2px	296	14	individuals	individual	NNS
cord-333088-ygdau2px	296	15	,	,	,
cord-333088-ygdau2px	296	16	while	while	IN
cord-333088-ygdau2px	296	17	in	in	IN
cord-333088-ygdau2px	296	18	our	-PRON-	PRP$
cord-333088-ygdau2px	296	19	event	event	NN
cord-333088-ygdau2px	296	20	-	-	HYPH
cord-333088-ygdau2px	296	21	driven	drive	VBN
cord-333088-ygdau2px	296	22	model	model	NN
cord-333088-ygdau2px	296	23	,	,	,
cord-333088-ygdau2px	296	24	time	time	NN
cord-333088-ygdau2px	296	25	is	be	VBZ
cord-333088-ygdau2px	296	26	continuous	continuous	JJ
cord-333088-ygdau2px	296	27	and	and	CC
cord-333088-ygdau2px	296	28	the	the	DT
cord-333088-ygdau2px	296	29	recovery	recovery	NN
cord-333088-ygdau2px	296	30	time	time	NN
cord-333088-ygdau2px	296	31	is	be	VBZ
cord-333088-ygdau2px	296	32	exponentially	exponentially	RB
cord-333088-ygdau2px	296	33	distributed	distribute	VBN
cord-333088-ygdau2px	296	34	.	.	.
cord-333088-ygdau2px	297	1	A	a	DT
cord-333088-ygdau2px	297	2	more	more	RBR
cord-333088-ygdau2px	297	3	systematic	systematic	JJ
cord-333088-ygdau2px	297	4	study	study	NN
cord-333088-ygdau2px	297	5	of	of	IN
cord-333088-ygdau2px	297	6	parameter	parameter	NN
cord-333088-ygdau2px	297	7	space	space	NN
cord-333088-ygdau2px	297	8	for	for	IN
cord-333088-ygdau2px	297	9	these	these	DT
cord-333088-ygdau2px	297	10	models	model	NNS
cord-333088-ygdau2px	297	11	is	be	VBZ
cord-333088-ygdau2px	297	12	warranted	warrant	VBN
cord-333088-ygdau2px	297	13	.	.	.
cord-333088-ygdau2px	298	1	We	-PRON-	PRP
cord-333088-ygdau2px	298	2	should	should	MD
cord-333088-ygdau2px	298	3	also	also	RB
cord-333088-ygdau2px	298	4	mention	mention	VB
cord-333088-ygdau2px	298	5	that	that	IN
cord-333088-ygdau2px	298	6	there	there	EX
cord-333088-ygdau2px	298	7	are	be	VBP
cord-333088-ygdau2px	298	8	other	other	JJ
cord-333088-ygdau2px	298	9	ways	way	NNS
cord-333088-ygdau2px	298	10	to	to	TO
cord-333088-ygdau2px	298	11	generate	generate	VB
cord-333088-ygdau2px	298	12	a	a	DT
cord-333088-ygdau2px	298	13	clustered	clustered	JJ
cord-333088-ygdau2px	298	14	network	network	NN
cord-333088-ygdau2px	298	15	than	than	IN
cord-333088-ygdau2px	298	16	a	a	DT
cord-333088-ygdau2px	298	17	small	small	JJ
cord-333088-ygdau2px	298	18	-	-	HYPH
cord-333088-ygdau2px	298	19	world	world	NN
cord-333088-ygdau2px	298	20	algorithm	algorithm	NN
cord-333088-ygdau2px	298	21	.	.	.
cord-333088-ygdau2px	299	1	For	for	IN
cord-333088-ygdau2px	299	2	example	example	NN
cord-333088-ygdau2px	299	3	,	,	,
cord-333088-ygdau2px	299	4	Keeling	Keeling	NNP
cord-333088-ygdau2px	299	5	(	(	-LRB-
cord-333088-ygdau2px	299	6	2005	2005	CD
cord-333088-ygdau2px	299	7	)	)	-RRB-
cord-333088-ygdau2px	299	8	described	describe	VBD
cord-333088-ygdau2px	299	9	a	a	DT
cord-333088-ygdau2px	299	10	method	method	NN
cord-333088-ygdau2px	299	11	that	that	WDT
cord-333088-ygdau2px	299	12	starts	start	VBZ
cord-333088-ygdau2px	299	13	with	with	IN
cord-333088-ygdau2px	299	14	a	a	DT
cord-333088-ygdau2px	299	15	number	number	NN
cord-333088-ygdau2px	299	16	of	of	IN
cord-333088-ygdau2px	299	17	randomly	randomly	RB
cord-333088-ygdau2px	299	18	placed	place	VBN
cord-333088-ygdau2px	299	19	focal	focal	JJ
cord-333088-ygdau2px	299	20	points	point	NNS
cord-333088-ygdau2px	299	21	in	in	IN
cord-333088-ygdau2px	299	22	a	a	DT
cord-333088-ygdau2px	299	23	twodimensional	twodimensional	JJ
cord-333088-ygdau2px	299	24	square	square	NN
cord-333088-ygdau2px	299	25	,	,	,
cord-333088-ygdau2px	299	26	and	and	CC
cord-333088-ygdau2px	299	27	draws	draw	VBZ
cord-333088-ygdau2px	299	28	a	a	DT
cord-333088-ygdau2px	299	29	proportion	proportion	NN
cord-333088-ygdau2px	299	30	of	of	IN
cord-333088-ygdau2px	299	31	them	-PRON-	PRP
cord-333088-ygdau2px	299	32	towards	towards	IN
cord-333088-ygdau2px	299	33	their	-PRON-	PRP$
cord-333088-ygdau2px	299	34	nearest	near	JJS
cord-333088-ygdau2px	299	35	focal	focal	JJ
cord-333088-ygdau2px	299	36	point	point	NN
cord-333088-ygdau2px	299	37	to	to	TO
cord-333088-ygdau2px	299	38	generate	generate	VB
cord-333088-ygdau2px	299	39	local	local	JJ
cord-333088-ygdau2px	299	40	clusters	cluster	NNS
cord-333088-ygdau2px	299	41	.	.	.
cord-333088-ygdau2px	300	1	Network	network	NN
cord-333088-ygdau2px	300	2	building	building	NN
cord-333088-ygdau2px	300	3	can	can	MD
cord-333088-ygdau2px	300	4	also	also	RB
cord-333088-ygdau2px	300	5	be	be	VB
cord-333088-ygdau2px	300	6	attempted	attempt	VBN
cord-333088-ygdau2px	300	7	from	from	IN
cord-333088-ygdau2px	300	8	the	the	DT
cord-333088-ygdau2px	300	9	available	available	JJ
cord-333088-ygdau2px	300	10	data	datum	NNS
cord-333088-ygdau2px	300	11	on	on	IN
cord-333088-ygdau2px	300	12	selective	selective	JJ
cord-333088-ygdau2px	300	13	social	social	JJ
cord-333088-ygdau2px	300	14	mixing	mixing	NN
cord-333088-ygdau2px	300	15	(	(	-LRB-
cord-333088-ygdau2px	300	16	Morris	Morris	NNP
cord-333088-ygdau2px	300	17	,	,	,
cord-333088-ygdau2px	300	18	1995	1995	CD
cord-333088-ygdau2px	300	19	)	)	-RRB-
cord-333088-ygdau2px	300	20	.	.	.
cord-333088-ygdau2px	301	1	The	the	DT
cord-333088-ygdau2px	301	2	advantage	advantage	NN
cord-333088-ygdau2px	301	3	of	of	IN
cord-333088-ygdau2px	301	4	our	-PRON-	PRP$
cord-333088-ygdau2px	301	5	small	small	JJ
cord-333088-ygdau2px	301	6	-	-	HYPH
cord-333088-ygdau2px	301	7	world	world	NN
cord-333088-ygdau2px	301	8	algorithm	algorithm	NN
cord-333088-ygdau2px	301	9	is	be	VBZ
cord-333088-ygdau2px	301	10	that	that	IN
cord-333088-ygdau2px	301	11	besides	besides	IN
cord-333088-ygdau2px	301	12	being	be	VBG
cord-333088-ygdau2px	301	13	simple	simple	JJ
cord-333088-ygdau2px	301	14	to	to	TO
cord-333088-ygdau2px	301	15	implement	implement	VB
cord-333088-ygdau2px	301	16	,	,	,
cord-333088-ygdau2px	301	17	it	-PRON-	PRP
cord-333088-ygdau2px	301	18	is	be	VBZ
cord-333088-ygdau2px	301	19	also	also	RB
cord-333088-ygdau2px	301	20	one	one	CD
cord-333088-ygdau2px	301	21	of	of	IN
cord-333088-ygdau2px	301	22	the	the	DT
cord-333088-ygdau2px	301	23	best	good	JJS
cord-333088-ygdau2px	301	24	studied	study	VBN
cord-333088-ygdau2px	301	25	networks	network	NNS
cord-333088-ygdau2px	301	26	(	(	-LRB-
cord-333088-ygdau2px	301	27	Watts	Watts	NNP
cord-333088-ygdau2px	301	28	,	,	,
cord-333088-ygdau2px	301	29	2003	2003	CD
cord-333088-ygdau2px	301	30	)	)	-RRB-
cord-333088-ygdau2px	301	31	.	.	.
cord-333088-ygdau2px	302	1	This	this	DT
cord-333088-ygdau2px	302	2	algorithm	algorithm	NN
cord-333088-ygdau2px	302	3	generates	generate	VBZ
cord-333088-ygdau2px	302	4	a	a	DT
cord-333088-ygdau2px	302	5	continuum	continuum	NN
cord-333088-ygdau2px	302	6	of	of	IN
cord-333088-ygdau2px	302	7	configurations	configuration	NNS
cord-333088-ygdau2px	302	8	from	from	IN
cord-333088-ygdau2px	302	9	a	a	DT
cord-333088-ygdau2px	302	10	regular	regular	JJ
cord-333088-ygdau2px	302	11	grid	grid	NN
cord-333088-ygdau2px	302	12	to	to	IN
cord-333088-ygdau2px	302	13	a	a	DT
cord-333088-ygdau2px	302	14	random	random	JJ
cord-333088-ygdau2px	302	15	network	network	NN
cord-333088-ygdau2px	302	16	,	,	,
cord-333088-ygdau2px	302	17	and	and	CC
cord-333088-ygdau2px	302	18	many	many	JJ
cord-333088-ygdau2px	302	19	real	real	JJ
cord-333088-ygdau2px	302	20	systems	system	NNS
cord-333088-ygdau2px	302	21	have	have	VBP
cord-333088-ygdau2px	302	22	an	an	DT
cord-333088-ygdau2px	302	23	underlying	underlying	JJ
cord-333088-ygdau2px	302	24	regular	regular	JJ
cord-333088-ygdau2px	302	25	spatial	spatial	JJ
cord-333088-ygdau2px	302	26	structure	structure	NN
cord-333088-ygdau2px	302	27	,	,	,
cord-333088-ygdau2px	302	28	as	as	IN
cord-333088-ygdau2px	302	29	in	in	IN
cord-333088-ygdau2px	302	30	the	the	DT
cord-333088-ygdau2px	302	31	case	case	NN
cord-333088-ygdau2px	302	32	of	of	IN
cord-333088-ygdau2px	302	33	hantavirus	hantavirus	NN
cord-333088-ygdau2px	302	34	of	of	IN
cord-333088-ygdau2px	302	35	wild	wild	JJ
cord-333088-ygdau2px	302	36	rats	rat	NNS
cord-333088-ygdau2px	302	37	within	within	IN
cord-333088-ygdau2px	302	38	the	the	DT
cord-333088-ygdau2px	302	39	city	city	NN
cord-333088-ygdau2px	302	40	blocks	block	NNS
cord-333088-ygdau2px	302	41	of	of	IN
cord-333088-ygdau2px	302	42	Baltimore	Baltimore	NNP
cord-333088-ygdau2px	303	1	(	(	-LRB-
cord-333088-ygdau2px	303	2	Childs	Childs	NNP
cord-333088-ygdau2px	303	3	et	et	NNP
cord-333088-ygdau2px	303	4	al	al	NNP
cord-333088-ygdau2px	303	5	.	.	NNP
cord-333088-ygdau2px	303	6	,	,	,
cord-333088-ygdau2px	303	7	1988	1988	CD
cord-333088-ygdau2px	303	8	)	)	-RRB-
cord-333088-ygdau2px	303	9	.	.	.
cord-333088-ygdau2px	304	1	Moreover	moreover	RB
cord-333088-ygdau2px	304	2	,	,	,
cord-333088-ygdau2px	304	3	emergent	emergent	JJ
cord-333088-ygdau2px	304	4	diseases	disease	NNS
cord-333088-ygdau2px	304	5	like	like	IN
cord-333088-ygdau2px	304	6	the	the	DT
cord-333088-ygdau2px	304	7	recent	recent	JJ
cord-333088-ygdau2px	304	8	outbreak	outbreak	NN
cord-333088-ygdau2px	304	9	of	of	IN
cord-333088-ygdau2px	304	10	severe	severe	JJ
cord-333088-ygdau2px	304	11	acute	acute	JJ
cord-333088-ygdau2px	304	12	respiratory	respiratory	JJ
cord-333088-ygdau2px	304	13	syndrome	syndrome	NN
cord-333088-ygdau2px	304	14	(	(	-LRB-
cord-333088-ygdau2px	304	15	SARS	SARS	NNP
cord-333088-ygdau2px	304	16	)	)	-RRB-
cord-333088-ygdau2px	304	17	have	have	VBP
cord-333088-ygdau2px	304	18	been	be	VBN
cord-333088-ygdau2px	304	19	studied	study	VBN
cord-333088-ygdau2px	304	20	by	by	IN
cord-333088-ygdau2px	304	21	modeling	model	VBG
cord-333088-ygdau2px	304	22	human	human	JJ
cord-333088-ygdau2px	304	23	contact	contact	NN
cord-333088-ygdau2px	304	24	patterns	pattern	NNS
cord-333088-ygdau2px	304	25	using	use	VBG
cord-333088-ygdau2px	304	26	small	small	JJ
cord-333088-ygdau2px	304	27	-	-	HYPH
cord-333088-ygdau2px	304	28	world	world	NN
cord-333088-ygdau2px	304	29	networks	network	NNS
cord-333088-ygdau2px	304	30	(	(	-LRB-
cord-333088-ygdau2px	304	31	Masuda	Masuda	NNP
cord-333088-ygdau2px	304	32	et	et	FW
cord-333088-ygdau2px	304	33	al	al	NNP
cord-333088-ygdau2px	304	34	.	.	NNP
cord-333088-ygdau2px	304	35	,	,	,
cord-333088-ygdau2px	304	36	2004	2004	CD
cord-333088-ygdau2px	304	37	;	;	:
cord-333088-ygdau2px	304	38	Verdasca	Verdasca	NNP
cord-333088-ygdau2px	304	39	et	et	NNP
cord-333088-ygdau2px	304	40	al	al	NNP
cord-333088-ygdau2px	304	41	.	.	NNP
cord-333088-ygdau2px	304	42	,	,	,
cord-333088-ygdau2px	304	43	2005	2005	CD
cord-333088-ygdau2px	304	44	)	)	-RRB-
cord-333088-ygdau2px	304	45	.	.	.
cord-333088-ygdau2px	305	1	The	the	DT
cord-333088-ygdau2px	305	2	network	network	NN
cord-333088-ygdau2px	305	3	considered	consider	VBN
cord-333088-ygdau2px	305	4	here	here	RB
cord-333088-ygdau2px	305	5	remains	remain	VBZ
cord-333088-ygdau2px	305	6	static	static	JJ
cord-333088-ygdau2px	305	7	in	in	IN
cord-333088-ygdau2px	305	8	time	time	NN
cord-333088-ygdau2px	305	9	.	.	.
cord-333088-ygdau2px	306	1	While	while	IN
cord-333088-ygdau2px	306	2	this	this	DT
cord-333088-ygdau2px	306	3	assumption	assumption	NN
cord-333088-ygdau2px	306	4	is	be	VBZ
cord-333088-ygdau2px	306	5	reasonable	reasonable	JJ
cord-333088-ygdau2px	306	6	when	when	WRB
cord-333088-ygdau2px	306	7	disease	disease	NN
cord-333088-ygdau2px	306	8	spreads	spread	VBZ
cord-333088-ygdau2px	306	9	rapidly	rapidly	RB
cord-333088-ygdau2px	306	10	relative	relative	JJ
cord-333088-ygdau2px	306	11	to	to	IN
cord-333088-ygdau2px	306	12	changes	change	NNS
cord-333088-ygdau2px	306	13	of	of	IN
cord-333088-ygdau2px	306	14	the	the	DT
cord-333088-ygdau2px	306	15	network	network	NN
cord-333088-ygdau2px	306	16	itself	-PRON-	PRP
cord-333088-ygdau2px	306	17	,	,	,
cord-333088-ygdau2px	306	18	there	there	EX
cord-333088-ygdau2px	306	19	are	be	VBP
cord-333088-ygdau2px	306	20	many	many	JJ
cord-333088-ygdau2px	306	21	instances	instance	NNS
cord-333088-ygdau2px	306	22	where	where	WRB
cord-333088-ygdau2px	306	23	the	the	DT
cord-333088-ygdau2px	306	24	contact	contact	NN
cord-333088-ygdau2px	306	25	structure	structure	NN
cord-333088-ygdau2px	306	26	would	would	MD
cord-333088-ygdau2px	306	27	vary	vary	VB
cord-333088-ygdau2px	306	28	over	over	IN
cord-333088-ygdau2px	306	29	comparable	comparable	JJ
cord-333088-ygdau2px	306	30	time	time	NN
cord-333088-ygdau2px	306	31	scales	scale	NNS
cord-333088-ygdau2px	306	32	.	.	.
cord-333088-ygdau2px	307	1	Examples	example	NNS
cord-333088-ygdau2px	307	2	include	include	VBP
cord-333088-ygdau2px	307	3	group	group	NN
cord-333088-ygdau2px	307	4	dynamics	dynamic	NNS
cord-333088-ygdau2px	307	5	in	in	IN
cord-333088-ygdau2px	307	6	wildlife	wildlife	NN
cord-333088-ygdau2px	307	7	resulting	result	VBG
cord-333088-ygdau2px	307	8	from	from	IN
cord-333088-ygdau2px	307	9	schooling	school	VBG
cord-333088-ygdau2px	307	10	or	or	CC
cord-333088-ygdau2px	307	11	spatial	spatial	JJ
cord-333088-ygdau2px	307	12	aggregation	aggregation	NN
cord-333088-ygdau2px	307	13	,	,	,
cord-333088-ygdau2px	307	14	as	as	RB
cord-333088-ygdau2px	307	15	well	well	RB
cord-333088-ygdau2px	307	16	as	as	IN
cord-333088-ygdau2px	307	17	territorial	territorial	JJ
cord-333088-ygdau2px	307	18	behavior	behavior	NN
cord-333088-ygdau2px	307	19	.	.	.
cord-333088-ygdau2px	308	1	Dynamic	dynamic	JJ
cord-333088-ygdau2px	308	2	network	network	NN
cord-333088-ygdau2px	308	3	structure	structure	NN
cord-333088-ygdau2px	308	4	involves	involve	VBZ
cord-333088-ygdau2px	308	5	processes	process	NNS
cord-333088-ygdau2px	308	6	such	such	JJ
cord-333088-ygdau2px	308	7	as	as	IN
cord-333088-ygdau2px	308	8	migration	migration	NN
cord-333088-ygdau2px	308	9	among	among	IN
cord-333088-ygdau2px	308	10	groups	group	NNS
cord-333088-ygdau2px	308	11	that	that	WDT
cord-333088-ygdau2px	308	12	establishes	establish	VBZ
cord-333088-ygdau2px	308	13	new	new	JJ
cord-333088-ygdau2px	308	14	connections	connection	NNS
cord-333088-ygdau2px	308	15	and	and	CC
cord-333088-ygdau2px	308	16	destroys	destroy	VBZ
cord-333088-ygdau2px	308	17	existing	exist	VBG
cord-333088-ygdau2px	308	18	ones	one	NNS
cord-333088-ygdau2px	308	19	,	,	,
cord-333088-ygdau2px	308	20	but	but	CC
cord-333088-ygdau2px	308	21	also	also	RB
cord-333088-ygdau2px	308	22	demographic	demographic	JJ
cord-333088-ygdau2px	308	23	processes	process	NNS
cord-333088-ygdau2px	308	24	such	such	JJ
cord-333088-ygdau2px	308	25	as	as	IN
cord-333088-ygdau2px	308	26	birth	birth	NN
cord-333088-ygdau2px	308	27	and	and	CC
cord-333088-ygdau2px	308	28	death	death	NN
cord-333088-ygdau2px	308	29	as	as	RB
cord-333088-ygdau2px	308	30	well	well	RB
cord-333088-ygdau2px	308	31	as	as	IN
cord-333088-ygdau2px	308	32	disease	disease	NN
cord-333088-ygdau2px	308	33	induced	induce	VBN
cord-333088-ygdau2px	308	34	mortality	mortality	NN
cord-333088-ygdau2px	308	35	.	.	.
cord-333088-ygdau2px	309	1	Another	another	DT
cord-333088-ygdau2px	309	2	topic	topic	NN
cord-333088-ygdau2px	309	3	of	of	IN
cord-333088-ygdau2px	309	4	current	current	JJ
cord-333088-ygdau2px	309	5	interest	interest	NN
cord-333088-ygdau2px	309	6	is	be	VBZ
cord-333088-ygdau2px	309	7	the	the	DT
cord-333088-ygdau2px	309	8	effect	effect	NN
cord-333088-ygdau2px	309	9	of	of	IN
cord-333088-ygdau2px	309	10	predation	predation	NN
cord-333088-ygdau2px	309	11	on	on	IN
cord-333088-ygdau2px	309	12	disease	disease	NN
cord-333088-ygdau2px	309	13	growth	growth	NN
cord-333088-ygdau2px	309	14	,	,	,
cord-333088-ygdau2px	309	15	which	which	WDT
cord-333088-ygdau2px	309	16	splices	splice	VBZ
cord-333088-ygdau2px	309	17	together	together	RB
cord-333088-ygdau2px	309	18	predator	predator	NN
cord-333088-ygdau2px	309	19	-	-	HYPH
cord-333088-ygdau2px	309	20	prey	prey	NN
cord-333088-ygdau2px	309	21	and	and	CC
cord-333088-ygdau2px	309	22	host	host	NN
cord-333088-ygdau2px	309	23	-	-	HYPH
cord-333088-ygdau2px	309	24	pathogen	pathogen	NN
cord-333088-ygdau2px	309	25	dynamics	dynamic	NNS
cord-333088-ygdau2px	309	26	in	in	IN
cord-333088-ygdau2px	309	27	which	which	WDT
cord-333088-ygdau2px	309	28	the	the	DT
cord-333088-ygdau2px	309	29	prey	prey	NN
cord-333088-ygdau2px	309	30	is	be	VBZ
cord-333088-ygdau2px	309	31	an	an	DT
cord-333088-ygdau2px	309	32	epidemic	epidemic	NN
cord-333088-ygdau2px	309	33	carrier	carrier	NN
cord-333088-ygdau2px	309	34	(	(	-LRB-
cord-333088-ygdau2px	309	35	Ostfeld	Ostfeld	NNP
cord-333088-ygdau2px	309	36	and	and	CC
cord-333088-ygdau2px	309	37	Holt	Holt	NNP
cord-333088-ygdau2px	309	38	,	,	,
cord-333088-ygdau2px	309	39	2004	2004	CD
cord-333088-ygdau2px	309	40	)	)	-RRB-
cord-333088-ygdau2px	309	41	.	.	.
cord-333088-ygdau2px	310	1	Simple	simple	JJ
cord-333088-ygdau2px	310	2	dynamics	dynamic	NNS
cord-333088-ygdau2px	310	3	assuming	assume	VBG
cord-333088-ygdau2px	310	4	the	the	DT
cord-333088-ygdau2px	310	5	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	310	6	mixing	mixing	NN
cord-333088-ygdau2px	310	7	of	of	IN
cord-333088-ygdau2px	310	8	prey	prey	NN
cord-333088-ygdau2px	310	9	and	and	CC
cord-333088-ygdau2px	310	10	predators	predator	NNS
cord-333088-ygdau2px	310	11	makes	make	VBZ
cord-333088-ygdau2px	310	12	interesting	interesting	JJ
cord-333088-ygdau2px	310	13	predictions	prediction	NNS
cord-333088-ygdau2px	310	14	about	about	IN
cord-333088-ygdau2px	310	15	the	the	DT
cord-333088-ygdau2px	310	16	harmful	harmful	JJ
cord-333088-ygdau2px	310	17	effect	effect	NN
cord-333088-ygdau2px	310	18	of	of	IN
cord-333088-ygdau2px	310	19	predator	predator	NN
cord-333088-ygdau2px	310	20	control	control	NN
cord-333088-ygdau2px	310	21	in	in	IN
cord-333088-ygdau2px	310	22	aggravating	aggravate	VBG
cord-333088-ygdau2px	310	23	disease	disease	NN
cord-333088-ygdau2px	310	24	prevalence	prevalence	NN
cord-333088-ygdau2px	310	25	with	with	IN
cord-333088-ygdau2px	310	26	potential	potential	JJ
cord-333088-ygdau2px	310	27	spill	spill	NN
cord-333088-ygdau2px	310	28	-	-	HYPH
cord-333088-ygdau2px	310	29	over	over	RP
cord-333088-ygdau2px	310	30	effects	effect	NNS
cord-333088-ygdau2px	310	31	on	on	IN
cord-333088-ygdau2px	310	32	humans	human	NNS
cord-333088-ygdau2px	310	33	(	(	-LRB-
cord-333088-ygdau2px	310	34	Packer	Packer	NNP
cord-333088-ygdau2px	310	35	et	et	NNP
cord-333088-ygdau2px	310	36	al	al	NNP
cord-333088-ygdau2px	310	37	.	.	NNP
cord-333088-ygdau2px	310	38	,	,	,
cord-333088-ygdau2px	310	39	2003	2003	CD
cord-333088-ygdau2px	310	40	;	;	:
cord-333088-ygdau2px	310	41	Ostfeld	Ostfeld	NNP
cord-333088-ygdau2px	310	42	and	and	CC
cord-333088-ygdau2px	310	43	Holt	Holt	NNP
cord-333088-ygdau2px	310	44	,	,	,
cord-333088-ygdau2px	310	45	2004	2004	CD
cord-333088-ygdau2px	310	46	)	)	-RRB-
cord-333088-ygdau2px	310	47	.	.	.
cord-333088-ygdau2px	311	1	It	-PRON-	PRP
cord-333088-ygdau2px	311	2	remains	remain	VBZ
cord-333088-ygdau2px	311	3	to	to	TO
cord-333088-ygdau2px	311	4	be	be	VB
cord-333088-ygdau2px	311	5	seen	see	VBN
cord-333088-ygdau2px	311	6	if	if	IN
cord-333088-ygdau2px	311	7	these	these	DT
cord-333088-ygdau2px	311	8	e	e	NN
cord-333088-ygdau2px	311	9	c	c	NN
cord-333088-ygdau2px	311	10	o	o	NN
cord-333088-ygdau2px	311	11	l	l	NN
cord-333088-ygdau2px	311	12	o	o	NN
cord-333088-ygdau2px	311	13	g	g	NN
cord-333088-ygdau2px	311	14	i	i	NN
cord-333088-ygdau2px	311	15	c	c	NN
cord-333088-ygdau2px	311	16	a	a	DT
cord-333088-ygdau2px	311	17	l	l	NN
cord-333088-ygdau2px	311	18	c	c	NN
cord-333088-ygdau2px	311	19	o	o	NN
cord-333088-ygdau2px	311	20	m	m	NN
cord-333088-ygdau2px	311	21	p	p	NN
cord-333088-ygdau2px	311	22	l	l	NN
cord-333088-ygdau2px	311	23	e	e	NN
cord-333088-ygdau2px	312	1	x	x	LS
cord-333088-ygdau2px	312	2	i	i	PRP
cord-333088-ygdau2px	312	3	t	t	NNP
cord-333088-ygdau2px	312	4	y	y	NNP
cord-333088-ygdau2px	312	5	3	3	CD
cord-333088-ygdau2px	312	6	(	(	-LRB-
cord-333088-ygdau2px	312	7	2	2	CD
cord-333088-ygdau2px	312	8	0	0	CD
cord-333088-ygdau2px	312	9	0	0	CD
cord-333088-ygdau2px	312	10	6	6	CD
cord-333088-ygdau2px	312	11	)	)	-RRB-
cord-333088-ygdau2px	312	12	8	8	CD
cord-333088-ygdau2px	312	13	0	0	CD
cord-333088-ygdau2px	312	14	-9	-9	CD
cord-333088-ygdau2px	312	15	0	0	NFP
cord-333088-ygdau2px	312	16	conclusions	conclusion	NNS
cord-333088-ygdau2px	312	17	hold	hold	VBP
cord-333088-ygdau2px	312	18	under	under	IN
cord-333088-ygdau2px	312	19	an	an	DT
cord-333088-ygdau2px	312	20	explicit	explicit	JJ
cord-333088-ygdau2px	312	21	modeling	modeling	NN
cord-333088-ygdau2px	312	22	framework	framework	NN
cord-333088-ygdau2px	312	23	that	that	WDT
cord-333088-ygdau2px	312	24	binds	bind	VBZ
cord-333088-ygdau2px	312	25	together	together	RB
cord-333088-ygdau2px	312	26	the	the	DT
cord-333088-ygdau2px	312	27	social	social	JJ
cord-333088-ygdau2px	312	28	dynamics	dynamic	NNS
cord-333088-ygdau2px	312	29	of	of	IN
cord-333088-ygdau2px	312	30	both	both	DT
cord-333088-ygdau2px	312	31	prey	prey	NN
cord-333088-ygdau2px	312	32	and	and	CC
cord-333088-ygdau2px	312	33	predator	predator	NN
cord-333088-ygdau2px	312	34	.	.	.
cord-333088-ygdau2px	313	1	More	more	RBR
cord-333088-ygdau2px	313	2	generally	generally	RB
cord-333088-ygdau2px	313	3	,	,	,
cord-333088-ygdau2px	313	4	future	future	JJ
cord-333088-ygdau2px	313	5	work	work	NN
cord-333088-ygdau2px	313	6	should	should	MD
cord-333088-ygdau2px	313	7	address	address	VB
cord-333088-ygdau2px	313	8	whether	whether	IN
cord-333088-ygdau2px	313	9	modified	modify	VBN
cord-333088-ygdau2px	313	10	mean	mean	NN
cord-333088-ygdau2px	313	11	-	-	HYPH
cord-333088-ygdau2px	313	12	field	field	NN
cord-333088-ygdau2px	313	13	models	model	NNS
cord-333088-ygdau2px	313	14	provide	provide	VBP
cord-333088-ygdau2px	313	15	accurate	accurate	JJ
cord-333088-ygdau2px	313	16	simplifications	simplification	NNS
cord-333088-ygdau2px	313	17	for	for	IN
cord-333088-ygdau2px	313	18	stochastic	stochastic	JJ
cord-333088-ygdau2px	313	19	disease	disease	NN
cord-333088-ygdau2px	313	20	models	model	NNS
cord-333088-ygdau2px	313	21	on	on	IN
cord-333088-ygdau2px	313	22	dynamic	dynamic	JJ
cord-333088-ygdau2px	313	23	networks	network	NNS
cord-333088-ygdau2px	313	24	.	.	.
cord-333088-ygdau2px	314	1	So	so	RB
cord-333088-ygdau2px	314	2	far	far	RB
cord-333088-ygdau2px	314	3	the	the	DT
cord-333088-ygdau2px	314	4	work	work	NN
cord-333088-ygdau2px	314	5	presented	present	VBN
cord-333088-ygdau2px	314	6	here	here	RB
cord-333088-ygdau2px	314	7	for	for	IN
cord-333088-ygdau2px	314	8	static	static	JJ
cord-333088-ygdau2px	314	9	networks	network	NNS
cord-333088-ygdau2px	314	10	provides	provide	VBZ
cord-333088-ygdau2px	314	11	support	support	NN
cord-333088-ygdau2px	314	12	for	for	IN
cord-333088-ygdau2px	314	13	the	the	DT
cord-333088-ygdau2px	314	14	empirical	empirical	JJ
cord-333088-ygdau2px	314	15	application	application	NN
cord-333088-ygdau2px	314	16	of	of	IN
cord-333088-ygdau2px	314	17	these	these	DT
cord-333088-ygdau2px	314	18	simpler	simple	JJR
cord-333088-ygdau2px	314	19	models	model	NNS
cord-333088-ygdau2px	314	20	to	to	IN
cord-333088-ygdau2px	314	21	time	time	NNP
cord-333088-ygdau2px	314	22	series	series	NNP
cord-333088-ygdau2px	314	23	data	datum	NNS
cord-333088-ygdau2px	314	24	.	.	.
cord-333088-ygdau2px	315	1	Statistical	statistical	JJ
cord-333088-ygdau2px	315	2	mechanics	mechanic	NNS
cord-333088-ygdau2px	315	3	of	of	IN
cord-333088-ygdau2px	315	4	complex	complex	JJ
cord-333088-ygdau2px	315	5	networks	network	NNS
cord-333088-ygdau2px	315	6	Infectious	infectious	JJ
cord-333088-ygdau2px	315	7	Diseases	disease	NNS
cord-333088-ygdau2px	315	8	of	of	IN
cord-333088-ygdau2px	315	9	Humans	Humans	NNPS
cord-333088-ygdau2px	315	10	:	:	:
cord-333088-ygdau2px	315	11	Dynamics	dynamic	NNS
cord-333088-ygdau2px	315	12	and	and	CC
cord-333088-ygdau2px	315	13	Control	Control	NNP
cord-333088-ygdau2px	315	14	The	the	DT
cord-333088-ygdau2px	315	15	Mathematical	Mathematical	NNP
cord-333088-ygdau2px	315	16	Theory	Theory	NNP
cord-333088-ygdau2px	315	17	of	of	IN
cord-333088-ygdau2px	315	18	Infectious	Infectious	NNP
cord-333088-ygdau2px	315	19	Diseases	Diseases	NNPS
cord-333088-ygdau2px	315	20	Dynamics	Dynamics	NNPS
cord-333088-ygdau2px	315	21	of	of	IN
cord-333088-ygdau2px	315	22	measles	measle	NNS
cord-333088-ygdau2px	315	23	epidemics	epidemic	NNS
cord-333088-ygdau2px	315	24	:	:	:
cord-333088-ygdau2px	315	25	estimating	estimate	VBG
cord-333088-ygdau2px	315	26	scaling	scaling	NN
cord-333088-ygdau2px	315	27	of	of	IN
cord-333088-ygdau2px	315	28	transmission	transmission	NN
cord-333088-ygdau2px	315	29	rates	rate	NNS
cord-333088-ygdau2px	315	30	using	use	VBG
cord-333088-ygdau2px	315	31	a	a	DT
cord-333088-ygdau2px	315	32	time	time	NN
cord-333088-ygdau2px	315	33	series	series	NN
cord-333088-ygdau2px	315	34	SIR	SIR	NNP
cord-333088-ygdau2px	315	35	model	model	NN
cord-333088-ygdau2px	315	36	Analytic	analytic	JJ
cord-333088-ygdau2px	315	37	models	model	NNS
cord-333088-ygdau2px	315	38	for	for	IN
cord-333088-ygdau2px	315	39	the	the	DT
cord-333088-ygdau2px	315	40	patchy	patchy	JJ
cord-333088-ygdau2px	315	41	spread	spread	NN
cord-333088-ygdau2px	315	42	of	of	IN
cord-333088-ygdau2px	315	43	plant	plant	NN
cord-333088-ygdau2px	315	44	disease	disease	NN
cord-333088-ygdau2px	315	45	Space	Space	NNP
cord-333088-ygdau2px	315	46	,	,	,
cord-333088-ygdau2px	315	47	persistence	persistence	NN
cord-333088-ygdau2px	315	48	and	and	CC
cord-333088-ygdau2px	315	49	dynamics	dynamic	NNS
cord-333088-ygdau2px	315	50	of	of	IN
cord-333088-ygdau2px	315	51	measles	measle	NNS
cord-333088-ygdau2px	315	52	epidemics	epidemic	NNS
cord-333088-ygdau2px	316	1	The	the	DT
cord-333088-ygdau2px	316	2	effects	effect	NNS
cord-333088-ygdau2px	316	3	of	of	IN
cord-333088-ygdau2px	316	4	disease	disease	NN
cord-333088-ygdau2px	316	5	dispersal	dispersal	NN
cord-333088-ygdau2px	316	6	and	and	CC
cord-333088-ygdau2px	316	7	host	host	NN
cord-333088-ygdau2px	316	8	clustering	clustering	NN
cord-333088-ygdau2px	316	9	on	on	IN
cord-333088-ygdau2px	316	10	the	the	DT
cord-333088-ygdau2px	316	11	epidemic	epidemic	NN
cord-333088-ygdau2px	316	12	threshold	threshold	NN
cord-333088-ygdau2px	316	13	in	in	IN
cord-333088-ygdau2px	316	14	plants	plant	NNS
cord-333088-ygdau2px	317	1	The	the	DT
cord-333088-ygdau2px	317	2	ecology	ecology	NN
cord-333088-ygdau2px	317	3	and	and	CC
cord-333088-ygdau2px	317	4	epizootiology	epizootiology	NN
cord-333088-ygdau2px	317	5	of	of	IN
cord-333088-ygdau2px	317	6	hantaviral	hantaviral	JJ
cord-333088-ygdau2px	317	7	infections	infection	NNS
cord-333088-ygdau2px	317	8	in	in	IN
cord-333088-ygdau2px	317	9	small	small	JJ
cord-333088-ygdau2px	317	10	mammal	mammal	JJ
cord-333088-ygdau2px	317	11	communities	community	NNS
cord-333088-ygdau2px	317	12	of	of	IN
cord-333088-ygdau2px	317	13	Baltimore	Baltimore	NNP
cord-333088-ygdau2px	317	14	:	:	:
cord-333088-ygdau2px	317	15	a	a	DT
cord-333088-ygdau2px	317	16	review	review	NN
cord-333088-ygdau2px	317	17	and	and	CC
cord-333088-ygdau2px	317	18	synthesis	synthesis	NN
cord-333088-ygdau2px	317	19	Island	Island	NNP
cord-333088-ygdau2px	317	20	epidemics	epidemic	NNS
cord-333088-ygdau2px	317	21	Evolution	Evolution	NNP
cord-333088-ygdau2px	317	22	of	of	IN
cord-333088-ygdau2px	317	23	Networks	Networks	NNP
cord-333088-ygdau2px	317	24	Modelling	model	VBG
cord-333088-ygdau2px	317	25	dynamic	dynamic	JJ
cord-333088-ygdau2px	317	26	and	and	CC
cord-333088-ygdau2px	317	27	network	network	NN
cord-333088-ygdau2px	317	28	heterogeneities	heterogeneity	NNS
cord-333088-ygdau2px	317	29	in	in	IN
cord-333088-ygdau2px	317	30	the	the	DT
cord-333088-ygdau2px	317	31	spread	spread	NN
cord-333088-ygdau2px	317	32	of	of	IN
cord-333088-ygdau2px	317	33	sexually	sexually	RB
cord-333088-ygdau2px	317	34	transmitted	transmit	VBN
cord-333088-ygdau2px	317	35	disease	disease	NN
cord-333088-ygdau2px	317	36	A	a	DT
cord-333088-ygdau2px	317	37	stochastic	stochastic	JJ
cord-333088-ygdau2px	317	38	model	model	NN
cord-333088-ygdau2px	317	39	for	for	IN
cord-333088-ygdau2px	317	40	extinction	extinction	NN
cord-333088-ygdau2px	317	41	and	and	CC
cord-333088-ygdau2px	317	42	recurrence	recurrence	NN
cord-333088-ygdau2px	317	43	of	of	IN
cord-333088-ygdau2px	317	44	epidemics	epidemic	NNS
cord-333088-ygdau2px	317	45	:	:	:
cord-333088-ygdau2px	317	46	estimation	estimation	NN
cord-333088-ygdau2px	317	47	and	and	CC
cord-333088-ygdau2px	317	48	inference	inference	NN
cord-333088-ygdau2px	317	49	for	for	IN
cord-333088-ygdau2px	317	50	measles	measles	NN
cord-333088-ygdau2px	317	51	outbreaks	outbreak	NNS
cord-333088-ygdau2px	317	52	Metapopulation	Metapopulation	NNP
cord-333088-ygdau2px	317	53	dynamics	dynamic	NNS
cord-333088-ygdau2px	317	54	as	as	IN
cord-333088-ygdau2px	317	55	a	a	DT
cord-333088-ygdau2px	317	56	contact	contact	NN
cord-333088-ygdau2px	317	57	process	process	NN
cord-333088-ygdau2px	317	58	on	on	IN
cord-333088-ygdau2px	317	59	a	a	DT
cord-333088-ygdau2px	317	60	graph	graph	NN
cord-333088-ygdau2px	317	61	Stochastic	stochastic	JJ
cord-333088-ygdau2px	317	62	resonance	resonance	NN
cord-333088-ygdau2px	317	63	without	without	IN
cord-333088-ygdau2px	317	64	external	external	JJ
cord-333088-ygdau2px	317	65	periodic	periodic	JJ
cord-333088-ygdau2px	317	66	force	force	NN
cord-333088-ygdau2px	317	67	(	(	-LRB-
cord-333088-ygdau2px	317	68	Meta	Meta	NNP
cord-333088-ygdau2px	317	69	)	)	-RRB-
cord-333088-ygdau2px	317	70	population	population	NN
cord-333088-ygdau2px	317	71	dynamics	dynamic	NNS
cord-333088-ygdau2px	317	72	of	of	IN
cord-333088-ygdau2px	317	73	infectious	infectious	JJ
cord-333088-ygdau2px	317	74	diseases	disease	NNS
cord-333088-ygdau2px	318	1	A	a	DT
cord-333088-ygdau2px	318	2	test	test	NN
cord-333088-ygdau2px	318	3	of	of	IN
cord-333088-ygdau2px	318	4	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	318	5	mixing	mixing	NN
cord-333088-ygdau2px	318	6	as	as	IN
cord-333088-ygdau2px	318	7	a	a	DT
cord-333088-ygdau2px	318	8	mechanism	mechanism	NN
cord-333088-ygdau2px	318	9	for	for	IN
cord-333088-ygdau2px	318	10	ecological	ecological	JJ
cord-333088-ygdau2px	318	11	persistence	persistence	NN
cord-333088-ygdau2px	318	12	in	in	IN
cord-333088-ygdau2px	318	13	a	a	DT
cord-333088-ygdau2px	318	14	disturbed	disturbed	JJ
cord-333088-ygdau2px	318	15	environment	environment	NN
cord-333088-ygdau2px	319	1	Some	some	DT
cord-333088-ygdau2px	319	2	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	319	3	models	model	NNS
cord-333088-ygdau2px	319	4	with	with	IN
cord-333088-ygdau2px	319	5	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	319	6	incidence	incidence	NN
cord-333088-ygdau2px	319	7	Non	non	JJ
cord-333088-ygdau2px	319	8	-	-	JJ
cord-333088-ygdau2px	319	9	linear	linear	JJ
cord-333088-ygdau2px	319	10	transmission	transmission	NN
cord-333088-ygdau2px	319	11	rates	rate	NNS
cord-333088-ygdau2px	319	12	and	and	CC
cord-333088-ygdau2px	319	13	the	the	DT
cord-333088-ygdau2px	319	14	dynamics	dynamic	NNS
cord-333088-ygdau2px	319	15	of	of	IN
cord-333088-ygdau2px	319	16	infectious	infectious	JJ
cord-333088-ygdau2px	319	17	disease	disease	NN
cord-333088-ygdau2px	320	1	A	a	DT
cord-333088-ygdau2px	320	2	simple	simple	JJ
cord-333088-ygdau2px	320	3	model	model	NN
cord-333088-ygdau2px	320	4	of	of	IN
cord-333088-ygdau2px	320	5	recurrent	recurrent	JJ
cord-333088-ygdau2px	320	6	epidemics	epidemic	NNS
cord-333088-ygdau2px	320	7	Correlation	correlation	NN
cord-333088-ygdau2px	320	8	models	model	NNS
cord-333088-ygdau2px	320	9	for	for	IN
cord-333088-ygdau2px	320	10	childhood	childhood	NN
cord-333088-ygdau2px	320	11	epidemics	epidemic	NNS
cord-333088-ygdau2px	321	1	The	the	DT
cord-333088-ygdau2px	321	2	effects	effect	NNS
cord-333088-ygdau2px	321	3	of	of	IN
cord-333088-ygdau2px	321	4	local	local	JJ
cord-333088-ygdau2px	321	5	spatial	spatial	JJ
cord-333088-ygdau2px	321	6	structure	structure	NN
cord-333088-ygdau2px	321	7	on	on	IN
cord-333088-ygdau2px	321	8	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	321	9	invasions	invasion	NNS
cord-333088-ygdau2px	322	1	The	the	DT
cord-333088-ygdau2px	322	2	implications	implication	NNS
cord-333088-ygdau2px	322	3	of	of	IN
cord-333088-ygdau2px	322	4	network	network	NN
cord-333088-ygdau2px	322	5	structure	structure	NN
cord-333088-ygdau2px	322	6	for	for	IN
cord-333088-ygdau2px	322	7	epidemic	epidemic	NN
cord-333088-ygdau2px	322	8	dynamics	dynamic	NNS
cord-333088-ygdau2px	323	1	A	a	DT
cord-333088-ygdau2px	323	2	contribution	contribution	NN
cord-333088-ygdau2px	323	3	to	to	IN
cord-333088-ygdau2px	323	4	the	the	DT
cord-333088-ygdau2px	323	5	mathematical	mathematical	JJ
cord-333088-ygdau2px	323	6	theory	theory	NN
cord-333088-ygdau2px	323	7	of	of	IN
cord-333088-ygdau2px	323	8	epidemics	epidemic	NNS
cord-333088-ygdau2px	323	9	Disentangling	disentangle	VBG
cord-333088-ygdau2px	323	10	extrinsic	extrinsic	JJ
cord-333088-ygdau2px	323	11	from	from	IN
cord-333088-ygdau2px	323	12	intrinsic	intrinsic	JJ
cord-333088-ygdau2px	323	13	factors	factor	NNS
cord-333088-ygdau2px	323	14	in	in	IN
cord-333088-ygdau2px	323	15	disease	disease	NN
cord-333088-ygdau2px	323	16	dynamics	dynamic	NNS
cord-333088-ygdau2px	323	17	:	:	:
cord-333088-ygdau2px	323	18	a	a	DT
cord-333088-ygdau2px	323	19	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	323	20	time	time	NN
cord-333088-ygdau2px	323	21	series	series	NN
cord-333088-ygdau2px	323	22	approach	approach	NN
cord-333088-ygdau2px	323	23	with	with	IN
cord-333088-ygdau2px	323	24	an	an	DT
cord-333088-ygdau2px	323	25	application	application	NN
cord-333088-ygdau2px	323	26	to	to	IN
cord-333088-ygdau2px	323	27	cholera	cholera	NN
cord-333088-ygdau2px	323	28	Modeling	model	VBG
cord-333088-ygdau2px	323	29	infection	infection	NN
cord-333088-ygdau2px	323	30	transmission	transmission	NN
cord-333088-ygdau2px	323	31	Small	small	JJ
cord-333088-ygdau2px	323	32	world	world	NN
cord-333088-ygdau2px	323	33	effect	effect	NN
cord-333088-ygdau2px	323	34	in	in	IN
cord-333088-ygdau2px	323	35	an	an	DT
cord-333088-ygdau2px	323	36	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	323	37	model	model	NN
cord-333088-ygdau2px	324	1	Fast	fast	JJ
cord-333088-ygdau2px	324	2	response	response	NN
cord-333088-ygdau2px	324	3	and	and	CC
cord-333088-ygdau2px	324	4	temporal	temporal	JJ
cord-333088-ygdau2px	324	5	coherent	coherent	JJ
cord-333088-ygdau2px	324	6	oscillations	oscillation	NNS
cord-333088-ygdau2px	324	7	in	in	IN
cord-333088-ygdau2px	324	8	small	small	JJ
cord-333088-ygdau2px	324	9	-	-	HYPH
cord-333088-ygdau2px	324	10	world	world	NN
cord-333088-ygdau2px	324	11	networks	network	NNS
cord-333088-ygdau2px	324	12	Influence	influence	NN
cord-333088-ygdau2px	324	13	of	of	IN
cord-333088-ygdau2px	324	14	nonlinear	nonlinear	JJ
cord-333088-ygdau2px	324	15	incidence	incidence	NN
cord-333088-ygdau2px	324	16	rates	rate	NNS
cord-333088-ygdau2px	324	17	upon	upon	IN
cord-333088-ygdau2px	324	18	the	the	DT
cord-333088-ygdau2px	324	19	behavior	behavior	NN
cord-333088-ygdau2px	324	20	of	of	IN
cord-333088-ygdau2px	324	21	SIRS	sirs	JJ
cord-333088-ygdau2px	324	22	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	324	23	models	model	NNS
cord-333088-ygdau2px	325	1	Dynamical	dynamical	JJ
cord-333088-ygdau2px	325	2	behavior	behavior	NN
cord-333088-ygdau2px	325	3	of	of	IN
cord-333088-ygdau2px	325	4	epidemiological	epidemiological	JJ
cord-333088-ygdau2px	325	5	models	model	NNS
cord-333088-ygdau2px	325	6	with	with	IN
cord-333088-ygdau2px	325	7	non	non	JJ
cord-333088-ygdau2px	325	8	-	-	JJ
cord-333088-ygdau2px	325	9	linear	linear	JJ
cord-333088-ygdau2px	325	10	incidence	incidence	NN
cord-333088-ygdau2px	325	11	rate	rate	NN
cord-333088-ygdau2px	325	12	How	how	WRB
cord-333088-ygdau2px	325	13	should	should	MD
cord-333088-ygdau2px	325	14	pathogen	pathogen	VB
cord-333088-ygdau2px	325	15	transmission	transmission	NN
cord-333088-ygdau2px	325	16	be	be	VB
cord-333088-ygdau2px	325	17	modelled	model	VBN
cord-333088-ygdau2px	325	18	?	?	.
cord-333088-ygdau2px	326	1	Relating	relate	VBG
cord-333088-ygdau2px	326	2	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	326	3	mixing	mixing	NN
cord-333088-ygdau2px	326	4	models	model	NNS
cord-333088-ygdau2px	326	5	to	to	IN
cord-333088-ygdau2px	326	6	spatial	spatial	JJ
cord-333088-ygdau2px	326	7	processes	process	NNS
cord-333088-ygdau2px	326	8	in	in	IN
cord-333088-ygdau2px	326	9	disease	disease	NN
cord-333088-ygdau2px	326	10	epidemics	epidemic	NNS
cord-333088-ygdau2px	326	11	Transmission	Transmission	NNP
cord-333088-ygdau2px	326	12	of	of	IN
cord-333088-ygdau2px	326	13	severe	severe	JJ
cord-333088-ygdau2px	326	14	acute	acute	JJ
cord-333088-ygdau2px	326	15	respiratory	respiratory	JJ
cord-333088-ygdau2px	326	16	syndrome	syndrome	NN
cord-333088-ygdau2px	326	17	in	in	IN
cord-333088-ygdau2px	326	18	dynamical	dynamical	JJ
cord-333088-ygdau2px	326	19	small	small	JJ
cord-333088-ygdau2px	326	20	-	-	HYPH
cord-333088-ygdau2px	326	21	world	world	NN
cord-333088-ygdau2px	326	22	networks	network	NNS
cord-333088-ygdau2px	327	1	Data	datum	NNS
cord-333088-ygdau2px	327	2	driven	drive	VBN
cord-333088-ygdau2px	327	3	network	network	NN
cord-333088-ygdau2px	327	4	models	model	NNS
cord-333088-ygdau2px	327	5	for	for	IN
cord-333088-ygdau2px	327	6	the	the	DT
cord-333088-ygdau2px	327	7	spread	spread	NN
cord-333088-ygdau2px	327	8	of	of	IN
cord-333088-ygdau2px	327	9	disease	disease	NN
cord-333088-ygdau2px	327	10	Mathematical	Mathematical	NNP
cord-333088-ygdau2px	327	11	Biology	Biology	NNP
cord-333088-ygdau2px	328	1	The	the	DT
cord-333088-ygdau2px	328	2	spread	spread	NN
cord-333088-ygdau2px	328	3	of	of	IN
cord-333088-ygdau2px	328	4	epidemic	epidemic	NN
cord-333088-ygdau2px	328	5	disease	disease	NN
cord-333088-ygdau2px	328	6	on	on	IN
cord-333088-ygdau2px	328	7	networks	network	NNS
cord-333088-ygdau2px	328	8	Scaling	scaling	NN
cord-333088-ygdau2px	328	9	and	and	CC
cord-333088-ygdau2px	328	10	percolation	percolation	NN
cord-333088-ygdau2px	328	11	in	in	IN
cord-333088-ygdau2px	328	12	the	the	DT
cord-333088-ygdau2px	328	13	small	small	JJ
cord-333088-ygdau2px	328	14	-	-	HYPH
cord-333088-ygdau2px	328	15	world	world	NN
cord-333088-ygdau2px	328	16	network	network	NN
cord-333088-ygdau2px	328	17	model	model	NN
cord-333088-ygdau2px	328	18	Are	be	VBP
cord-333088-ygdau2px	328	19	predators	predator	NNS
cord-333088-ygdau2px	328	20	good	good	JJ
cord-333088-ygdau2px	328	21	for	for	IN
cord-333088-ygdau2px	328	22	your	-PRON-	PRP$
cord-333088-ygdau2px	328	23	health	health	NN
cord-333088-ygdau2px	328	24	?	?	.
cord-333088-ygdau2px	329	1	Evaluating	evaluate	VBG
cord-333088-ygdau2px	329	2	evidence	evidence	NN
cord-333088-ygdau2px	329	3	for	for	IN
cord-333088-ygdau2px	329	4	top	top	JJ
cord-333088-ygdau2px	329	5	-	-	HYPH
cord-333088-ygdau2px	329	6	down	down	RP
cord-333088-ygdau2px	329	7	regulation	regulation	NN
cord-333088-ygdau2px	329	8	of	of	IN
cord-333088-ygdau2px	329	9	zoonotic	zoonotic	JJ
cord-333088-ygdau2px	329	10	disease	disease	NN
cord-333088-ygdau2px	329	11	reservoirs	reservoir	NNS
cord-333088-ygdau2px	329	12	Biologically	biologically	RB
cord-333088-ygdau2px	329	13	generated	generate	VBD
cord-333088-ygdau2px	329	14	spatial	spatial	JJ
cord-333088-ygdau2px	329	15	pattern	pattern	NN
cord-333088-ygdau2px	329	16	and	and	CC
cord-333088-ygdau2px	329	17	the	the	DT
cord-333088-ygdau2px	329	18	coexistence	coexistence	NN
cord-333088-ygdau2px	329	19	of	of	IN
cord-333088-ygdau2px	329	20	competing	compete	VBG
cord-333088-ygdau2px	329	21	species	specie	NNS
cord-333088-ygdau2px	329	22	Keeping	keep	VBG
cord-333088-ygdau2px	329	23	the	the	DT
cord-333088-ygdau2px	329	24	herds	herd	NNS
cord-333088-ygdau2px	329	25	healthy	healthy	JJ
cord-333088-ygdau2px	329	26	and	and	CC
cord-333088-ygdau2px	329	27	alert	alert	JJ
cord-333088-ygdau2px	329	28	:	:	:
cord-333088-ygdau2px	329	29	impacts	impact	NNS
cord-333088-ygdau2px	329	30	of	of	IN
cord-333088-ygdau2px	329	31	predation	predation	NN
cord-333088-ygdau2px	329	32	upon	upon	IN
cord-333088-ygdau2px	329	33	prey	prey	NN
cord-333088-ygdau2px	329	34	with	with	IN
cord-333088-ygdau2px	329	35	specialist	specialist	JJ
cord-333088-ygdau2px	329	36	pathogens	pathogen	NNS
cord-333088-ygdau2px	329	37	Cholera	cholera	NN
cord-333088-ygdau2px	329	38	dynamics	dynamic	NNS
cord-333088-ygdau2px	329	39	and	and	CC
cord-333088-ygdau2px	329	40	EL	EL	NNP
cord-333088-ygdau2px	329	41	Niñ	Niñ	NNP
cord-333088-ygdau2px	329	42	o	o	NNP
cord-333088-ygdau2px	329	43	-	-	HYPH
cord-333088-ygdau2px	329	44	Southern	southern	JJ
cord-333088-ygdau2px	329	45	Oscillation	oscillation	NN
cord-333088-ygdau2px	329	46	Simple	simple	JJ
cord-333088-ygdau2px	329	47	temporal	temporal	JJ
cord-333088-ygdau2px	329	48	models	model	NNS
cord-333088-ygdau2px	329	49	for	for	IN
cord-333088-ygdau2px	329	50	ecological	ecological	JJ
cord-333088-ygdau2px	329	51	systems	system	NNS
cord-333088-ygdau2px	329	52	with	with	IN
cord-333088-ygdau2px	329	53	complex	complex	JJ
cord-333088-ygdau2px	329	54	spatial	spatial	JJ
cord-333088-ygdau2px	329	55	patterns	pattern	NNS
cord-333088-ygdau2px	329	56	Epidemic	epidemic	NN
cord-333088-ygdau2px	329	57	spreading	spread	VBG
cord-333088-ygdau2px	329	58	in	in	IN
cord-333088-ygdau2px	329	59	scale	scale	NN
cord-333088-ygdau2px	329	60	-	-	HYPH
cord-333088-ygdau2px	329	61	free	free	JJ
cord-333088-ygdau2px	329	62	networks	network	NNS
cord-333088-ygdau2px	329	63	Correlation	correlation	NN
cord-333088-ygdau2px	329	64	equations	equation	NNS
cord-333088-ygdau2px	329	65	and	and	CC
cord-333088-ygdau2px	329	66	pair	pair	NN
cord-333088-ygdau2px	329	67	approximations	approximation	NNS
cord-333088-ygdau2px	329	68	for	for	IN
cord-333088-ygdau2px	329	69	spatial	spatial	JJ
cord-333088-ygdau2px	329	70	ecologies	ecology	NNS
cord-333088-ygdau2px	329	71	Persistence	persistence	NN
cord-333088-ygdau2px	329	72	and	and	CC
cord-333088-ygdau2px	329	73	dynamics	dynamic	NNS
cord-333088-ygdau2px	329	74	in	in	IN
cord-333088-ygdau2px	329	75	lattice	lattice	NN
cord-333088-ygdau2px	329	76	models	model	NNS
cord-333088-ygdau2px	329	77	of	of	IN
cord-333088-ygdau2px	329	78	epidemic	epidemic	NN
cord-333088-ygdau2px	329	79	spread	spread	VBN
cord-333088-ygdau2px	329	80	Percolation	Percolation	NNP
cord-333088-ygdau2px	329	81	on	on	IN
cord-333088-ygdau2px	329	82	heterogeneous	heterogeneous	JJ
cord-333088-ygdau2px	329	83	networks	network	NNS
cord-333088-ygdau2px	329	84	as	as	IN
cord-333088-ygdau2px	329	85	a	a	DT
cord-333088-ygdau2px	329	86	model	model	NN
cord-333088-ygdau2px	329	87	for	for	IN
cord-333088-ygdau2px	329	88	epidemics	epidemic	NNS
cord-333088-ygdau2px	329	89	Generalizations	generalization	NNS
cord-333088-ygdau2px	329	90	of	of	IN
cord-333088-ygdau2px	329	91	some	some	DT
cord-333088-ygdau2px	329	92	stochastic	stochastic	JJ
cord-333088-ygdau2px	329	93	epidemic	epidemic	NN
cord-333088-ygdau2px	329	94	models	model	NNS
cord-333088-ygdau2px	330	1	The	the	DT
cord-333088-ygdau2px	330	2	impacts	impact	NNS
cord-333088-ygdau2px	330	3	of	of	IN
cord-333088-ygdau2px	330	4	network	network	NN
cord-333088-ygdau2px	330	5	topology	topology	NN
cord-333088-ygdau2px	330	6	on	on	IN
cord-333088-ygdau2px	330	7	disease	disease	NN
cord-333088-ygdau2px	330	8	spread	spread	VBD
cord-333088-ygdau2px	330	9	Ecological	ecological	JJ
cord-333088-ygdau2px	330	10	theory	theory	NN
cord-333088-ygdau2px	330	11	to	to	TO
cord-333088-ygdau2px	330	12	enhance	enhance	VB
cord-333088-ygdau2px	330	13	infectious	infectious	JJ
cord-333088-ygdau2px	330	14	disease	disease	NN
cord-333088-ygdau2px	330	15	control	control	NN
cord-333088-ygdau2px	330	16	and	and	CC
cord-333088-ygdau2px	330	17	public	public	JJ
cord-333088-ygdau2px	330	18	health	health	NN
cord-333088-ygdau2px	330	19	policy	policy	NN
cord-333088-ygdau2px	330	20	Contact	contact	NN
cord-333088-ygdau2px	330	21	networks	network	NNS
cord-333088-ygdau2px	330	22	and	and	CC
cord-333088-ygdau2px	330	23	the	the	DT
cord-333088-ygdau2px	330	24	evolution	evolution	NN
cord-333088-ygdau2px	330	25	of	of	IN
cord-333088-ygdau2px	330	26	virulence	virulence	NN
cord-333088-ygdau2px	330	27	Recurrent	recurrent	JJ
cord-333088-ygdau2px	330	28	epidemics	epidemic	NNS
cord-333088-ygdau2px	330	29	in	in	IN
cord-333088-ygdau2px	330	30	small	small	JJ
cord-333088-ygdau2px	330	31	world	world	NN
cord-333088-ygdau2px	330	32	networks	network	NNS
cord-333088-ygdau2px	330	33	Small	Small	NNP
cord-333088-ygdau2px	330	34	Worlds	Worlds	NNPS
cord-333088-ygdau2px	330	35	Collective	Collective	NNP
cord-333088-ygdau2px	330	36	dynamics	dynamic	NNS
cord-333088-ygdau2px	330	37	of	of	IN
cord-333088-ygdau2px	330	38	smallworld	smallworld	NNP
cord-333088-ygdau2px	330	39	networks	network	NNS
cord-333088-ygdau2px	331	1	We	-PRON-	PRP
cord-333088-ygdau2px	331	2	thank	thank	VBP
cord-333088-ygdau2px	331	3	Juan	Juan	NNP
cord-333088-ygdau2px	331	4	Aparicio	Aparicio	NNP
cord-333088-ygdau2px	331	5	for	for	IN
cord-333088-ygdau2px	331	6	valuable	valuable	JJ
cord-333088-ygdau2px	331	7	comments	comment	NNS
cord-333088-ygdau2px	331	8	about	about	IN
cord-333088-ygdau2px	331	9	the	the	DT
cord-333088-ygdau2px	331	10	work	work	NN
cord-333088-ygdau2px	331	11	,	,	,
cord-333088-ygdau2px	331	12	and	and	CC
cord-333088-ygdau2px	331	13	Ben	Ben	NNP
cord-333088-ygdau2px	331	14	Bolker	Bolker	NNP
cord-333088-ygdau2px	331	15	and	and	CC
cord-333088-ygdau2px	331	16	an	an	DT
cord-333088-ygdau2px	331	17	anonymous	anonymous	JJ
cord-333088-ygdau2px	331	18	reviewer	reviewer	NN
cord-333088-ygdau2px	331	19	for	for	IN
cord-333088-ygdau2px	331	20	useful	useful	JJ
cord-333088-ygdau2px	331	21	suggestions	suggestion	NNS
cord-333088-ygdau2px	331	22	on	on	IN
cord-333088-ygdau2px	331	23	the	the	DT
cord-333088-ygdau2px	331	24	manuscript	manuscript	NN
cord-333088-ygdau2px	331	25	.	.	.
cord-333088-ygdau2px	332	1	This	this	DT
cord-333088-ygdau2px	332	2	research	research	NN
cord-333088-ygdau2px	332	3	was	be	VBD
cord-333088-ygdau2px	332	4	supported	support	VBN
cord-333088-ygdau2px	332	5	by	by	IN
cord-333088-ygdau2px	332	6	a	a	DT
cord-333088-ygdau2px	332	7	Centennial	Centennial	NNP
cord-333088-ygdau2px	332	8	Fellowship	Fellowship	NNP
cord-333088-ygdau2px	332	9	of	of	IN
cord-333088-ygdau2px	332	10	the	the	DT
cord-333088-ygdau2px	332	11	James	James	NNP
cord-333088-ygdau2px	332	12	S.	S.	NNP
cord-333088-ygdau2px	332	13	McDonnell	McDonnell	NNP
cord-333088-ygdau2px	332	14	Foundation	Foundation	NNP
cord-333088-ygdau2px	332	15	to	to	IN
cord-333088-ygdau2px	332	16	M.P.	M.P.	NNP
cord-333088-ygdau2px	333	1	It	-PRON-	PRP
cord-333088-ygdau2px	333	2	is	be	VBZ
cord-333088-ygdau2px	333	3	important	important	JJ
cord-333088-ygdau2px	333	4	to	to	TO
cord-333088-ygdau2px	333	5	distinguish	distinguish	VB
cord-333088-ygdau2px	333	6	among	among	IN
cord-333088-ygdau2px	333	7	the	the	DT
cord-333088-ygdau2px	333	8	different	different	JJ
cord-333088-ygdau2px	333	9	types	type	NNS
cord-333088-ygdau2px	333	10	of	of	IN
cord-333088-ygdau2px	333	11	random	random	JJ
cord-333088-ygdau2px	333	12	networks	network	NNS
cord-333088-ygdau2px	333	13	that	that	WDT
cord-333088-ygdau2px	333	14	are	be	VBP
cord-333088-ygdau2px	333	15	used	use	VBN
cord-333088-ygdau2px	333	16	frequently	frequently	RB
cord-333088-ygdau2px	333	17	in	in	IN
cord-333088-ygdau2px	333	18	the	the	DT
cord-333088-ygdau2px	333	19	literature	literature	NN
cord-333088-ygdau2px	333	20	.	.	.
cord-333088-ygdau2px	334	1	One	one	CD
cord-333088-ygdau2px	334	2	is	be	VBZ
cord-333088-ygdau2px	334	3	the	the	DT
cord-333088-ygdau2px	334	4	random	random	JJ
cord-333088-ygdau2px	334	5	network	network	NN
cord-333088-ygdau2px	334	6	with	with	IN
cord-333088-ygdau2px	334	7	f	f	NNP
cord-333088-ygdau2px	334	8	=	=	SYM
cord-333088-ygdau2px	334	9	1	1	CD
cord-333088-ygdau2px	334	10	that	that	WDT
cord-333088-ygdau2px	334	11	is	be	VBZ
cord-333088-ygdau2px	334	12	generated	generate	VBN
cord-333088-ygdau2px	334	13	using	use	VBG
cord-333088-ygdau2px	334	14	the	the	DT
cord-333088-ygdau2px	334	15	small	small	JJ
cord-333088-ygdau2px	334	16	-	-	HYPH
cord-333088-ygdau2px	334	17	world	world	NN
cord-333088-ygdau2px	334	18	algorithm	algorithm	NN
cord-333088-ygdau2px	334	19	as	as	IN
cord-333088-ygdau2px	334	20	described	describe	VBN
cord-333088-ygdau2px	334	21	in	in	IN
cord-333088-ygdau2px	334	22	Section	section	NN
cord-333088-ygdau2px	334	23	2	2	CD
cord-333088-ygdau2px	334	24	(	(	-LRB-
cord-333088-ygdau2px	334	25	Fig	Fig	NNP
cord-333088-ygdau2px	334	26	.	.	.
cord-333088-ygdau2px	334	27	1C	1C	NNP
cord-333088-ygdau2px	334	28	)	)	-RRB-
cord-333088-ygdau2px	334	29	,	,	,
cord-333088-ygdau2px	334	30	which	which	WDT
cord-333088-ygdau2px	334	31	has	have	VBZ
cord-333088-ygdau2px	334	32	a	a	DT
cord-333088-ygdau2px	334	33	total	total	JJ
cord-333088-ygdau2px	334	34	Nn	Nn	NNP
cord-333088-ygdau2px	334	35	0	0	CD
cord-333088-ygdau2px	334	36	/2	/2	NNP
cord-333088-ygdau2px	334	37	distinct	distinct	JJ
cord-333088-ygdau2px	334	38	connections	connection	NNS
cord-333088-ygdau2px	334	39	,	,	,
cord-333088-ygdau2px	334	40	where	where	WRB
cord-333088-ygdau2px	334	41	n	n	NN
cord-333088-ygdau2px	334	42	0	0	CD
cord-333088-ygdau2px	334	43	is	be	VBZ
cord-333088-ygdau2px	334	44	the	the	DT
cord-333088-ygdau2px	334	45	original	original	JJ
cord-333088-ygdau2px	334	46	neighborhood	neighborhood	NN
cord-333088-ygdau2px	334	47	size	size	NN
cord-333088-ygdau2px	334	48	(	(	-LRB-
cord-333088-ygdau2px	334	49	=	=	SYM
cord-333088-ygdau2px	334	50	8	8	CD
cord-333088-ygdau2px	334	51	here	here	RB
cord-333088-ygdau2px	334	52	)	)	-RRB-
cord-333088-ygdau2px	334	53	in	in	IN
cord-333088-ygdau2px	334	54	the	the	DT
cord-333088-ygdau2px	334	55	regular	regular	JJ
cord-333088-ygdau2px	334	56	grid	grid	NN
cord-333088-ygdau2px	335	1	and	and	CC
cord-333088-ygdau2px	335	2	N	N	NNP
cord-333088-ygdau2px	335	3	is	be	VBZ
cord-333088-ygdau2px	335	4	the	the	DT
cord-333088-ygdau2px	335	5	size	size	NN
cord-333088-ygdau2px	335	6	of	of	IN
cord-333088-ygdau2px	335	7	the	the	DT
cord-333088-ygdau2px	335	8	network	network	NN
cord-333088-ygdau2px	335	9	.	.	.
cord-333088-ygdau2px	336	1	Each	each	DT
cord-333088-ygdau2px	336	2	individual	individual	NN
cord-333088-ygdau2px	336	3	in	in	IN
cord-333088-ygdau2px	336	4	this	this	DT
cord-333088-ygdau2px	336	5	random	random	JJ
cord-333088-ygdau2px	336	6	network	network	NN
cord-333088-ygdau2px	336	7	has	have	VBZ
cord-333088-ygdau2px	336	8	a	a	DT
cord-333088-ygdau2px	336	9	binomially	binomially	RB
cord-333088-ygdau2px	336	10	distributed	distribute	VBN
cord-333088-ygdau2px	336	11	number	number	NN
cord-333088-ygdau2px	336	12	of	of	IN
cord-333088-ygdau2px	336	13	contacts	contact	NNS
cord-333088-ygdau2px	336	14	around	around	IN
cord-333088-ygdau2px	336	15	a	a	DT
cord-333088-ygdau2px	336	16	mean	mean	JJ
cord-333088-ygdau2px	336	17	n	n	NN
cord-333088-ygdau2px	336	18	0	0	CD
cord-333088-ygdau2px	336	19	.	.	.
cord-333088-ygdau2px	337	1	There	there	EX
cord-333088-ygdau2px	337	2	is	be	VBZ
cord-333088-ygdau2px	337	3	also	also	RB
cord-333088-ygdau2px	337	4	the	the	DT
cord-333088-ygdau2px	337	5	homogeneous	homogeneous	JJ
cord-333088-ygdau2px	337	6	random	random	JJ
cord-333088-ygdau2px	337	7	network	network	NN
cord-333088-ygdau2px	337	8	discussed	discuss	VBN
cord-333088-ygdau2px	337	9	in	in	IN
cord-333088-ygdau2px	337	10	relation	relation	NN
cord-333088-ygdau2px	337	11	to	to	IN
cord-333088-ygdau2px	337	12	the	the	DT
cord-333088-ygdau2px	337	13	mean	mean	NN
cord-333088-ygdau2px	337	14	-	-	HYPH
cord-333088-ygdau2px	337	15	field	field	NN
cord-333088-ygdau2px	337	16	Eq	Eq	NNP
cord-333088-ygdau2px	337	17	.	.	.
cord-333088-ygdau2px	338	1	(	(	-LRB-
cord-333088-ygdau2px	338	2	4	4	LS
cord-333088-ygdau2px	338	3	)	)	-RRB-
cord-333088-ygdau2px	338	4	,	,	,
cord-333088-ygdau2px	338	5	which	which	WDT
cord-333088-ygdau2px	338	6	by	by	IN
cord-333088-ygdau2px	338	7	definition	definition	NN
cord-333088-ygdau2px	338	8	has	have	VBZ
cord-333088-ygdau2px	338	9	fixed	fix	VBN
cord-333088-ygdau2px	338	10	n	n	SYM
cord-333088-ygdau2px	338	11	0	0	CD
cord-333088-ygdau2px	338	12	random	random	JJ
cord-333088-ygdau2px	338	13	contacts	contact	NNS
cord-333088-ygdau2px	338	14	per	per	IN
cord-333088-ygdau2px	338	15	individual	individual	NN
cord-333088-ygdau2px	338	16	(	(	-LRB-
cord-333088-ygdau2px	338	17	Keeling	Keeling	NNP
cord-333088-ygdau2px	338	18	,	,	,
cord-333088-ygdau2px	338	19	1999	1999	CD
cord-333088-ygdau2px	338	20	)	)	-RRB-
cord-333088-ygdau2px	338	21	.	.	.
cord-333088-ygdau2px	339	1	These	these	DT
cord-333088-ygdau2px	339	2	two	two	CD
cord-333088-ygdau2px	339	3	networks	network	NNS
cord-333088-ygdau2px	339	4	are	be	VBP
cord-333088-ygdau2px	339	5	,	,	,
cord-333088-ygdau2px	339	6	however	however	RB
cord-333088-ygdau2px	339	7	,	,	,
cord-333088-ygdau2px	339	8	different	different	JJ
cord-333088-ygdau2px	339	9	from	from	IN
cord-333088-ygdau2px	339	10	the	the	DT
cord-333088-ygdau2px	339	11	random	random	JJ
cord-333088-ygdau2px	339	12	network	network	NN
cord-333088-ygdau2px	339	13	of	of	IN
cord-333088-ygdau2px	339	14	Erdő	Erdő	NNP
cord-333088-ygdau2px	339	15	s	s	NNP
cord-333088-ygdau2px	339	16	and	and	CC
cord-333088-ygdau2px	339	17	Ré	Ré	NNP
cord-333088-ygdau2px	339	18	nyi	nyi	NNP
cord-333088-ygdau2px	339	19	(	(	-LRB-
cord-333088-ygdau2px	339	20	Albert	Albert	NNP
cord-333088-ygdau2px	339	21	and	and	CC
cord-333088-ygdau2px	339	22	Barabá	Barabá	NNP
cord-333088-ygdau2px	339	23	si	si	NNP
cord-333088-ygdau2px	339	24	,	,	,
cord-333088-ygdau2px	339	25	2002	2002	CD
cord-333088-ygdau2px	339	26	)	)	-RRB-
cord-333088-ygdau2px	339	27	,	,	,
cord-333088-ygdau2px	339	28	generated	generate	VBN
cord-333088-ygdau2px	339	29	by	by	IN
cord-333088-ygdau2px	339	30	randomly	randomly	RB
cord-333088-ygdau2px	339	31	creating	create	VBG
cord-333088-ygdau2px	339	32	connections	connection	NNS
cord-333088-ygdau2px	339	33	with	with	IN
cord-333088-ygdau2px	339	34	a	a	DT
cord-333088-ygdau2px	339	35	probability	probability	NN
cord-333088-ygdau2px	339	36	p	p	NN
cord-333088-ygdau2px	339	37	among	among	IN
cord-333088-ygdau2px	339	38	all	all	DT
cord-333088-ygdau2px	339	39	pairs	pair	NNS
cord-333088-ygdau2px	339	40	of	of	IN
cord-333088-ygdau2px	339	41	individuals	individual	NNS
cord-333088-ygdau2px	339	42	in	in	IN
cord-333088-ygdau2px	339	43	a	a	DT
cord-333088-ygdau2px	339	44	population	population	NN
cord-333088-ygdau2px	339	45	.	.	.
cord-333088-ygdau2px	340	1	The	the	DT
cord-333088-ygdau2px	340	2	expected	expect	VBN
cord-333088-ygdau2px	340	3	number	number	NN
cord-333088-ygdau2px	340	4	of	of	IN
cord-333088-ygdau2px	340	5	distinct	distinct	JJ
cord-333088-ygdau2px	340	6	connections	connection	NNS
cord-333088-ygdau2px	340	7	in	in	IN
cord-333088-ygdau2px	340	8	the	the	DT
cord-333088-ygdau2px	340	9	population	population	NN
cord-333088-ygdau2px	340	10	is	be	VBZ
cord-333088-ygdau2px	340	11	then	then	RB
cord-333088-ygdau2px	340	12	pN(N	pn(n	NN
cord-333088-ygdau2px	340	13	À	À	NNP
cord-333088-ygdau2px	340	14	1)/2	1)/2	CD
cord-333088-ygdau2px	340	15	,	,	,
cord-333088-ygdau2px	340	16	and	and	CC
cord-333088-ygdau2px	340	17	each	each	DT
cord-333088-ygdau2px	340	18	individual	individual	NN
cord-333088-ygdau2px	340	19	has	have	VBZ
cord-333088-ygdau2px	340	20	a	a	DT
cord-333088-ygdau2px	340	21	binomially	binomially	RB
cord-333088-ygdau2px	340	22	distributed	distribute	VBN
cord-333088-ygdau2px	340	23	number	number	NN
cord-333088-ygdau2px	340	24	of	of	IN
cord-333088-ygdau2px	340	25	connections	connection	NNS
cord-333088-ygdau2px	340	26	with	with	IN
cord-333088-ygdau2px	340	27	mean	mean	JJ
cord-333088-ygdau2px	340	28	p(N	p(n	NN
cord-333088-ygdau2px	340	29	À	à	NN
cord-333088-ygdau2px	340	30	1	1	CD
cord-333088-ygdau2px	340	31	)	)	-RRB-
cord-333088-ygdau2px	340	32	.	.	.
cord-333088-ygdau2px	341	1	For	for	IN
cord-333088-ygdau2px	341	2	moderate	moderate	JJ
cord-333088-ygdau2px	341	3	values	value	NNS
cord-333088-ygdau2px	341	4	of	of	IN
cord-333088-ygdau2px	341	5	p	p	NN
cord-333088-ygdau2px	341	6	and	and	CC
cord-333088-ygdau2px	341	7	large	large	JJ
cord-333088-ygdau2px	341	8	population	population	NN
cord-333088-ygdau2px	341	9	sizes	size	NNS
cord-333088-ygdau2px	341	10	,	,	,
cord-333088-ygdau2px	341	11	the	the	DT
cord-333088-ygdau2px	341	12	Erdő	Erdő	NNP
cord-333088-ygdau2px	341	13	s	s	NNP
cord-333088-ygdau2px	341	14	-	-	HYPH
cord-333088-ygdau2px	341	15	Ré	Ré	NNP
cord-333088-ygdau2px	341	16	nyi	nyi	NNP
cord-333088-ygdau2px	341	17	network	network	NN
cord-333088-ygdau2px	341	18	is	be	VBZ
cord-333088-ygdau2px	341	19	much	much	RB
cord-333088-ygdau2px	341	20	more	more	RBR
cord-333088-ygdau2px	341	21	densely	densely	RB
cord-333088-ygdau2px	341	22	connected	connected	JJ
cord-333088-ygdau2px	341	23	than	than	IN
cord-333088-ygdau2px	341	24	the	the	DT
cord-333088-ygdau2px	341	25	first	first	JJ
cord-333088-ygdau2px	341	26	two	two	CD
cord-333088-ygdau2px	341	27	types	type	NNS
cord-333088-ygdau2px	341	28	.	.	.
cord-333088-ygdau2px	342	1	All	all	DT
cord-333088-ygdau2px	342	2	three	three	CD
cord-333088-ygdau2px	342	3	of	of	IN
cord-333088-ygdau2px	342	4	them	-PRON-	PRP
cord-333088-ygdau2px	342	5	,	,	,
cord-333088-ygdau2px	342	6	however	however	RB
cord-333088-ygdau2px	342	7	,	,	,
cord-333088-ygdau2px	342	8	have	have	VBP
cord-333088-ygdau2px	342	9	negligible	negligible	JJ
cord-333088-ygdau2px	342	10	clustering	clustering	NN
cord-333088-ygdau2px	343	1	C	c	NN
cord-333088-ygdau2px	343	2	and	and	CC
cord-333088-ygdau2px	343	3	path	path	NN
cord-333088-ygdau2px	343	4	length	length	NN
cord-333088-ygdau2px	343	5	L	l	NN
cord-333088-ygdau2px	343	6	,	,	,
cord-333088-ygdau2px	343	7	since	since	IN
cord-333088-ygdau2px	343	8	the	the	DT
cord-333088-ygdau2px	343	9	individuals	individual	NNS
cord-333088-ygdau2px	343	10	do	do	VBP
cord-333088-ygdau2px	343	11	not	not	RB
cord-333088-ygdau2px	343	12	retain	retain	VB
cord-333088-ygdau2px	343	13	any	any	DT
cord-333088-ygdau2px	343	14	local	local	JJ
cord-333088-ygdau2px	343	15	connections	connection	NNS
cord-333088-ygdau2px	343	16	(	(	-LRB-
cord-333088-ygdau2px	343	17	all	all	DT
cord-333088-ygdau2px	343	18	connections	connection	NNS
cord-333088-ygdau2px	343	19	are	be	VBP
cord-333088-ygdau2px	343	20	short	short	JJ
cord-333088-ygdau2px	343	21	-	-	HYPH
cord-333088-ygdau2px	343	22	cuts	cut	NNS
cord-333088-ygdau2px	343	23	)	)	-RRB-
cord-333088-ygdau2px	343	24	.	.	.
cord-333088-ygdau2px	344	1	An	an	DT
cord-333088-ygdau2px	344	2	appropriate	appropriate	JJ
cord-333088-ygdau2px	344	3	network	network	NN
cord-333088-ygdau2px	344	4	is	be	VBZ
cord-333088-ygdau2px	344	5	constructed	construct	VBN
cord-333088-ygdau2px	344	6	with	with	IN
cord-333088-ygdau2px	344	7	a	a	DT
cord-333088-ygdau2px	344	8	given	give	VBN
cord-333088-ygdau2px	344	9	f	f	NN
cord-333088-ygdau2px	344	10	,	,	,
cord-333088-ygdau2px	344	11	and	and	CC
cord-333088-ygdau2px	344	12	the	the	DT
cord-333088-ygdau2px	344	13	stochastic	stochastic	JJ
cord-333088-ygdau2px	344	14	SIRS	SIRS	NNP
cord-333088-ygdau2px	344	15	dynamics	dynamic	NNS
cord-333088-ygdau2px	344	16	are	be	VBP
cord-333088-ygdau2px	344	17	implemented	implement	VBN
cord-333088-ygdau2px	344	18	on	on	IN
cord-333088-ygdau2px	344	19	this	this	DT
cord-333088-ygdau2px	344	20	network	network	NN
cord-333088-ygdau2px	344	21	using	use	VBG
cord-333088-ygdau2px	344	22	the	the	DT
cord-333088-ygdau2px	344	23	rules	rule	NNS
cord-333088-ygdau2px	344	24	described	describe	VBN
cord-333088-ygdau2px	344	25	in	in	IN
cord-333088-ygdau2px	344	26	Section	section	NN
cord-333088-ygdau2px	344	27	2	2	CD
cord-333088-ygdau2px	344	28	.	.	.
cord-333088-ygdau2px	345	1	For	for	IN
cord-333088-ygdau2px	345	2	the	the	DT
cord-333088-ygdau2px	345	3	initial	initial	JJ
cord-333088-ygdau2px	345	4	conditions	condition	NNS
cord-333088-ygdau2px	345	5	,	,	,
cord-333088-ygdau2px	345	6	we	-PRON-	PRP
cord-333088-ygdau2px	345	7	start	start	VBP
cord-333088-ygdau2px	345	8	with	with	IN
cord-333088-ygdau2px	345	9	a	a	DT
cord-333088-ygdau2px	345	10	random	random	JJ
cord-333088-ygdau2px	345	11	distribution	distribution	NN
cord-333088-ygdau2px	345	12	of	of	IN
cord-333088-ygdau2px	345	13	a	a	DT
cord-333088-ygdau2px	345	14	small	small	JJ
cord-333088-ygdau2px	345	15	number	number	NN
cord-333088-ygdau2px	345	16	of	of	IN
cord-333088-ygdau2px	345	17	infective	infective	JJ
cord-333088-ygdau2px	345	18	individuals	individual	NNS
cord-333088-ygdau2px	345	19	,	,	,
cord-333088-ygdau2px	345	20	only	only	RB
cord-333088-ygdau2px	345	21	0.5	0.5	CD
cord-333088-ygdau2px	345	22	%	%	NN
cord-333088-ygdau2px	345	23	of	of	IN
cord-333088-ygdau2px	345	24	the	the	DT
cord-333088-ygdau2px	345	25	total	total	JJ
cord-333088-ygdau2px	345	26	population	population	NN
cord-333088-ygdau2px	345	27	(	(	-LRB-
cord-333088-ygdau2px	345	28	=	=	SYM
cord-333088-ygdau2px	345	29	0.005N	0.005n	CD
cord-333088-ygdau2px	345	30	)	)	-RRB-
cord-333088-ygdau2px	345	31	unless	unless	IN
cord-333088-ygdau2px	345	32	otherwise	otherwise	RB
cord-333088-ygdau2px	345	33	stated	state	VBN
cord-333088-ygdau2px	345	34	,	,	,
cord-333088-ygdau2px	345	35	in	in	IN
cord-333088-ygdau2px	345	36	a	a	DT
cord-333088-ygdau2px	345	37	pool	pool	NN
cord-333088-ygdau2px	345	38	of	of	IN
cord-333088-ygdau2px	345	39	susceptible	susceptible	JJ
cord-333088-ygdau2px	345	40	individuals	individual	NNS
cord-333088-ygdau2px	345	41	.	.	.
cord-333088-ygdau2px	346	1	All	all	DT
cord-333088-ygdau2px	346	2	generated	generate	VBN
cord-333088-ygdau2px	346	3	time	time	NN
cord-333088-ygdau2px	346	4	series	series	NN
cord-333088-ygdau2px	346	5	used	use	VBN
cord-333088-ygdau2px	346	6	for	for	IN
cord-333088-ygdau2px	346	7	least	least	RBS
cord-333088-ygdau2px	346	8	-	-	HYPH
cord-333088-ygdau2px	346	9	squared	squared	JJ
cord-333088-ygdau2px	346	10	fitting	fitting	NN
cord-333088-ygdau2px	346	11	of	of	IN
cord-333088-ygdau2px	346	12	the	the	DT
cord-333088-ygdau2px	346	13	transmission	transmission	NN
cord-333088-ygdau2px	346	14	rate	rate	NN
cord-333088-ygdau2px	346	15	have	have	VBP
cord-333088-ygdau2px	346	16	a	a	DT
cord-333088-ygdau2px	346	17	length	length	NN
cord-333088-ygdau2px	346	18	of	of	IN
cord-333088-ygdau2px	346	19	20,000	20,000	CD
cord-333088-ygdau2px	346	20	time	time	NN
cord-333088-ygdau2px	346	21	units	unit	NNS
cord-333088-ygdau2px	346	22	.	.	.
cord-333088-ygdau2px	347	1	The	the	DT
cord-333088-ygdau2px	347	2	structure	structure	NN
cord-333088-ygdau2px	347	3	of	of	IN
cord-333088-ygdau2px	347	4	the	the	DT
cord-333088-ygdau2px	347	5	network	network	NN
cord-333088-ygdau2px	347	6	remains	remain	VBZ
cord-333088-ygdau2px	347	7	fixed	fix	VBN
cord-333088-ygdau2px	347	8	during	during	IN
cord-333088-ygdau2px	347	9	the	the	DT
cord-333088-ygdau2px	347	10	entire	entire	JJ
cord-333088-ygdau2px	347	11	stochastic	stochastic	JJ
cord-333088-ygdau2px	347	12	run	run	NN
cord-333088-ygdau2px	347	13	.	.	.
cord-333088-ygdau2px	348	1	Stochastic	stochastic	JJ
cord-333088-ygdau2px	348	2	simulations	simulation	NNS
cord-333088-ygdau2px	348	3	were	be	VBD
cord-333088-ygdau2px	348	4	carried	carry	VBN
cord-333088-ygdau2px	348	5	out	out	RP
cord-333088-ygdau2px	348	6	with	with	IN
cord-333088-ygdau2px	348	7	a	a	DT
cord-333088-ygdau2px	348	8	series	series	NN
cord-333088-ygdau2px	348	9	of	of	IN
cord-333088-ygdau2px	348	10	network	network	NN
cord-333088-ygdau2px	348	11	sizes	size	NNS
cord-333088-ygdau2px	348	12	ranging	range	VBG
cord-333088-ygdau2px	348	13	from	from	IN
cord-333088-ygdau2px	348	14	N	n	NN
cord-333088-ygdau2px	348	15	=	=	SYM
cord-333088-ygdau2px	348	16	10	10	CD
cord-333088-ygdau2px	348	17	4	4	CD
cord-333088-ygdau2px	348	18	-10	-10	CD
cord-333088-ygdau2px	348	19	6	6	CD
cord-333088-ygdau2px	348	20	.	.	.
cord-333088-ygdau2px	349	1	The	the	DT
cord-333088-ygdau2px	349	2	results	result	NNS
cord-333088-ygdau2px	349	3	presented	present	VBN
cord-333088-ygdau2px	349	4	here	here	RB
cord-333088-ygdau2px	349	5	are	be	VBP
cord-333088-ygdau2px	349	6	those	those	DT
cord-333088-ygdau2px	349	7	for	for	IN
cord-333088-ygdau2px	349	8	N	n	CD
cord-333088-ygdau2px	349	9	=	=	SYM
cord-333088-ygdau2px	349	10	160,000	160,000	CD
cord-333088-ygdau2px	349	11	and	and	CC
cord-333088-ygdau2px	349	12	are	be	VBP
cord-333088-ygdau2px	349	13	representative	representative	JJ
cord-333088-ygdau2px	349	14	of	of	IN
cord-333088-ygdau2px	349	15	other	other	JJ
cord-333088-ygdau2px	349	16	sizes	size	NNS
cord-333088-ygdau2px	349	17	.	.	.
cord-333088-ygdau2px	350	1	The	the	DT
cord-333088-ygdau2px	350	2	values	value	NNS
cord-333088-ygdau2px	350	3	for	for	IN
cord-333088-ygdau2px	350	4	the	the	DT
cord-333088-ygdau2px	350	5	epidemic	epidemic	NN
cord-333088-ygdau2px	350	6	rate	rate	NN
cord-333088-ygdau2px	350	7	parameters	parameter	NNS
cord-333088-ygdau2px	350	8	b	b	NN
cord-333088-ygdau2px	350	9	,	,	,
cord-333088-ygdau2px	350	10	g	g	NN
cord-333088-ygdau2px	350	11	and	and	CC
cord-333088-ygdau2px	350	12	d	d	NNP
cord-333088-ygdau2px	350	13	are	be	VBP
cord-333088-ygdau2px	350	14	chosen	choose	VBN
cord-333088-ygdau2px	350	15	so	so	IN
cord-333088-ygdau2px	350	16	that	that	IN
cord-333088-ygdau2px	350	17	the	the	DT
cord-333088-ygdau2px	350	18	disease	disease	NN
cord-333088-ygdau2px	350	19	successfully	successfully	RB
cord-333088-ygdau2px	350	20	establishes	establish	VBZ
cord-333088-ygdau2px	350	21	in	in	IN
cord-333088-ygdau2px	350	22	the	the	DT
cord-333088-ygdau2px	350	23	population	population	NN
cord-333088-ygdau2px	350	24	(	(	-LRB-
cord-333088-ygdau2px	350	25	a	a	DT
cord-333088-ygdau2px	350	26	finite	finite	JJ
cord-333088-ygdau2px	350	27	fraction	fraction	NN
cord-333088-ygdau2px	350	28	of	of	IN
cord-333088-ygdau2px	350	29	the	the	DT
cord-333088-ygdau2px	350	30	population	population	NN
cord-333088-ygdau2px	350	31	remains	remain	VBZ
cord-333088-ygdau2px	350	32	infected	infect	VBN
cord-333088-ygdau2px	350	33	at	at	IN
cord-333088-ygdau2px	350	34	all	all	DT
cord-333088-ygdau2px	350	35	times	time	NNS
cord-333088-ygdau2px	350	36	)	)	-RRB-
cord-333088-ygdau2px	350	37	.	.	.
cord-333088-ygdau2px	351	1	r	r	NN
cord-333088-ygdau2px	351	2	e	e	NN
cord-333088-ygdau2px	351	3	f	f	NN
cord-333088-ygdau2px	352	1	e	e	LS
cord-333088-ygdau2px	352	2	r	r	NNP
cord-333088-ygdau2px	353	1	e	e	LS
cord-333088-ygdau2px	353	2	n	n	NN
cord-333088-ygdau2px	354	1	c	c	NNP
cord-333088-ygdau2px	354	2	e	e	NNP
cord-333088-ygdau2px	354	3	s	s	NN