Outbreak analysis of an SIS epidemic model with rewiring
dc.contributor.author
dc.date.accessioned
2015-10-13T10:08:20Z
dc.date.available
2015-10-13T10:08:20Z
dc.date.issued
2013
dc.identifier.issn
0303-6812
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dc.description.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
dc.description.sponsorship
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
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Springer Verlag
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
AGAUR/2014-2016/2014 SGR-345
dc.relation.isformatof
Versió preprint del document publicat a: http://dx.doi.org/ 10.1007/s00285-012-0555-4
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© Journal of Mathematical Biology, 2013, vol. 67, núm. 2, p. 411-432
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Articles publicats (D-IMA)
dc.rights
Tots els drets reservats
dc.subject
dc.title
Outbreak analysis of an SIS epidemic model with rewiring
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
017803
dc.contributor.funder
dc.relation.ProjectAcronym
dc.identifier.eissn
1432-1416