On the efficiency of the equation-free closure of statistical moments: Dynamical properties of a stochastic epidemic model on Erdos-Rényi networks

Reppas, AI; De Decker, Y; Siettos, CI

dc.contributor.author	Reppas, AI	en
dc.contributor.author	De Decker, Y	en
dc.contributor.author	Siettos, CI	en
dc.date.accessioned	2014-03-01T02:11:49Z
dc.date.available	2014-03-01T02:11:49Z
dc.date.issued	2012	en
dc.identifier.issn	17425468	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29951
dc.subject	epidemic modelling	en
dc.subject	networks	en
dc.subject	nonlinear dynamics	en
dc.subject	random graphs	en
dc.subject	stochastic processes	en
dc.title	On the efficiency of the equation-free closure of statistical moments: Dynamical properties of a stochastic epidemic model on Erdos-Rényi networks	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/1742-5468/2012/08/P08020	en
heal.identifier.secondary	P08020	en
heal.identifier.secondary	http://dx.doi.org/10.1088/1742-5468/2012/08/P08020	en
heal.publicationDate	2012	en
heal.abstract	We show how different explicit statistical moment closures, including the mean field and the Kirkwood approximations as well as an Ursell-type expansion for the moments, compare with the equation-free approach in the case of a stochastic epidemic model evolving on Erds-Rényi networks. For illustration purposes we use a simple, discrete susceptible-infected-recovered stochastic model with a nonlinear recovering probability. For every closure scheme, we derive the corresponding macroscopic evolution equations and we construct the bifurcation diagrams with respect to the probability of infection. Finally, we construct the coarse-grained bifurcation diagram obtained with the equation-free method acting directly on the microscopic simulations, bypassing the derivation of explicit closures. We show that the equation-free approach captures the actual emergent nonlinear behavior and outperforms all the other explicit schemes. © 2012 IOP Publishing Ltd and SISSA Medialab srl.	en
heal.journalName	Journal of Statistical Mechanics: Theory and Experiment	en
dc.identifier.doi	10.1088/1742-5468/2012/08/P08020	en
dc.identifier.volume	2012	en
dc.identifier.issue	8	en