Outbreak analysis of an SIS epidemic model with rewiring
Juher, David (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)
Ripoll, Jordi (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)
Saldaña, Joan (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)

Date:	2013
Abstract:	This paper is devoted to the analysis of the early dynamics of an SIS epidemic model defined on networks. The model, introduced by Gross, D'Lima and Blasius in 2006, is based on the pair-approximation formalism and assumes that, at a given rewiring rate, susceptible nodes replace an infected neighbour by a new susceptible neighbour randomly selected among the pool of susceptible nodes in the population. The analysis uses a pair closure that improves the widely assumed in epidemic models defined on regular and homogeneous networks, and applies it to better understand the early epidemic spread on Poisson, exponential, and (truncated) scale-free networks. Two extinction scenarios, one dominated by transmission and the other one by rewiring, are characterized by considering the limit system of the model equations close to the beginning of the epidemic. Moreover, an analytical condition on the model parameters for the occurrence of a bistability region is obtained.
Grants:	Ministerio de Economía y Competitividad MTM2008-06349-C03-02 Ministerio de Economía y Competitividad MTM2011-27739-C04-03 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-345
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Pair approximation ; Network epidemic models ; Rewiring, basic reproduction number
Published in:	Journal of mathematical biology, Vol. 67 (2013) , p. 411-432, ISSN 1432-1416

DOI: 10.1007/s00285-012-0555-4

Postprint 28 p, 670.8 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles