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, 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 ne...

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Autores: Juher, David|||0000-0001-5440-1705, Ripoll, Jordi, Saldaña, Joan|||0000-0001-6174-8029
Formato: artículo
Fecha de publicación:2013
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150634
Acesso em linha:https://ddd.uab.cat/record/150634
https://dx.doi.org/urn:doi:10.1007/s00285-012-0555-4
Access Level:acceso abierto
Palavra-chave:Pair approximation
Network epidemic models
Rewiring, basic reproduction number
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spelling Outbreak analysis of an SIS epidemic model with rewiringJuher, David|||0000-0001-5440-1705Ripoll, JordiSaldaña, Joan|||0000-0001-6174-8029Pair approximationNetwork epidemic modelsRewiring, basic reproduction numberThis 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. 22013-01-0120132013-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150634https://dx.doi.org/urn:doi:10.1007/s00285-012-0555-4reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-06349-C03-02Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2011-27739-C04-03Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-345open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1506342026-06-06T12:50:31Z
dc.title.none.fl_str_mv Outbreak analysis of an SIS epidemic model with rewiring
title Outbreak analysis of an SIS epidemic model with rewiring
spellingShingle Outbreak analysis of an SIS epidemic model with rewiring
Juher, David|||0000-0001-5440-1705
Pair approximation
Network epidemic models
Rewiring, basic reproduction number
title_short Outbreak analysis of an SIS epidemic model with rewiring
title_full Outbreak analysis of an SIS epidemic model with rewiring
title_fullStr Outbreak analysis of an SIS epidemic model with rewiring
title_full_unstemmed Outbreak analysis of an SIS epidemic model with rewiring
title_sort Outbreak analysis of an SIS epidemic model with rewiring
dc.creator.none.fl_str_mv Juher, David|||0000-0001-5440-1705
Ripoll, Jordi
Saldaña, Joan|||0000-0001-6174-8029
author Juher, David|||0000-0001-5440-1705
author_facet Juher, David|||0000-0001-5440-1705
Ripoll, Jordi
Saldaña, Joan|||0000-0001-6174-8029
author_role author
author2 Ripoll, Jordi
Saldaña, Joan|||0000-0001-6174-8029
author2_role author
author
dc.subject.none.fl_str_mv Pair approximation
Network epidemic models
Rewiring, basic reproduction number
topic Pair approximation
Network epidemic models
Rewiring, basic reproduction number
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2
2013-01-01
2013
2013-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/150634
https://dx.doi.org/urn:doi:10.1007/s00285-012-0555-4
url https://ddd.uab.cat/record/150634
https://dx.doi.org/urn:doi:10.1007/s00285-012-0555-4
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-06349-C03-02
Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2011-27739-C04-03
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-345
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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