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Outbreak analysis of an SIS epidemic model with rewiring

This paper is devoted to the analysis of the early dynamics of an SIS epidemic model defined on networks. The model, introduced by Gross et al. (Phys Rev Lett 96:208701, 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 triple 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 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 for the occurrence of a bistability region is obtained

The authors thank the two anonymous referees for their comments and suggestions on an earlier version of the paper. This work has been partially supported by the research grants MTM2008-06349-C03-02 and MTM2011-27739-C04-03 of the Spanish government, and the project 2009-SGR-345 of Generalitat de Catalunya

Springer Verlag

Director: Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca
Autor: Juher, David
Ripoll i Misse, Jordi
Saldaña Meca, Joan
Resum: This paper is devoted to the analysis of the early dynamics of an SIS epidemic model defined on networks. The model, introduced by Gross et al. (Phys Rev Lett 96:208701, 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 triple 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 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 for the occurrence of a bistability region is obtained
The authors thank the two anonymous referees for their comments and suggestions on an earlier version of the paper. This work has been partially supported by the research grants MTM2008-06349-C03-02 and MTM2011-27739-C04-03 of the Spanish government, and the project 2009-SGR-345 of Generalitat de Catalunya
Accés al document: http://hdl.handle.net/2072/296488
Llenguatge: eng
Editor: Springer Verlag
Drets: Tots els drets reservats
Matèria: Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Anàlisi espacial (Estadística)
Spatial analysis (Statistics)
Títol: Outbreak analysis of an SIS epidemic model with rewiring
Tipus: info:eu-repo/semantics/article
Repositori: Recercat

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