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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

© Journal of Mathematical Biology, 2013, vol. 67, núm. 2, p. 411-432

Springer Verlag

Manager: Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca
Author: Juher, David
Ripoll i Misse, Jordi
Saldaña Meca, Joan
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 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
Format: application/pdf
Citation: 017803
ISSN: 0303-6812 (versió paper)
1432-1416 (versió electrònica)
Document access: http://hdl.handle.net/10256/11251
Language: eng
Publisher: Springer Verlag
Collection: MICINN/PN 2012-2015/MTM2011-27739-C04-03
AGAUR/2014-2016/2014 SGR-345
Versió preprint del document publicat a: http://dx.doi.org/ 10.1007/s00285-012-0555-4
Articles publicats (D-IMA)
Is part of: © Journal of Mathematical Biology, 2013, vol. 67, núm. 2, p. 411-432
Rights: Tots els drets reservats
Subject: Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Anàlisi espacial (Estadística)
Spatial analysis (Statistics)
Title: Outbreak analysis of an SIS epidemic model with rewiring
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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