A network epidemic model with preventive rewiring: comparative analysis of the initial phase

Un erratum d'aquest article s'ha publicat a 'Bulletin of Mathematical Biology', 2017, vol. 79, núm. 7, p. 1687-1689. DOI https://doi.org/10.1007/s11538-017-0295-0 o també està disponible al DUGiDocs a http://hdl.handle.net/10256/14329

Detalles Bibliográficos
Autores: Britton, Tom, Juher, David, Saldaña Meca, Joan
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/13174
Acceso en línea:http://hdl.handle.net/10256/13174
Access Level:acceso abierto
Palabra clave:Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Processos de ramificació
Branching processes
Processos estocàstics
Stochastic processes
id ES_04da535d96e87ffbc3605c336a59bbe2
oai_identifier_str oai:recercat.cat:10256/13174
network_acronym_str ES
network_name_str España
repository_id_str
spelling A network epidemic model with preventive rewiring: comparative analysis of the initial phaseBritton, TomJuher, DavidSaldaña Meca, JoanEpidèmies -- Models matemàticsEpidemics -- Mathematical modelsProcessos de ramificacióBranching processesProcessos estocàsticsStochastic processesUn erratum d'aquest article s'ha publicat a 'Bulletin of Mathematical Biology', 2017, vol. 79, núm. 7, p. 1687-1689. DOI https://doi.org/10.1007/s11538-017-0295-0 o també està disponible al DUGiDocs a http://hdl.handle.net/10256/14329This paper is concerned with stochastic SIR and SEIR epidemic models on random networks in which individuals may rewire away from infected neighbors at some rate ωω (and reconnect to non-infectious individuals with probability αα or else simply drop the edge if α=0α=0 ), so-called preventive rewiring. The models are denoted SIR- ωω and SEIR- ωω , and we focus attention on the early stages of an outbreak, where we derive the expressions for the basic reproduction number R0R0 and the expected degree of the infectious nodes E(DI)E(DI) using two different approximation approaches. The first approach approximates the early spread of an epidemic by a branching process, whereas the second one uses pair approximation. The expressions are compared with the corresponding empirical means obtained from stochastic simulations of SIR- ωω and SEIR- ωω epidemics on Poisson and scale-free networks. Without rewiring of exposed nodes, the two approaches predict the same epidemic threshold and the same E(DI)E(DI) for both types of epidemics, the latter being very close to the mean degree obtained from simulated epidemics over Poisson networks. Above the epidemic threshold, pairwise models overestimate the value of R0R0 computed from simulations, which turns out to be very close to the one predicted by the branching process approximation. When exposed individuals also rewire with α>0α>0 (perhaps unaware of being infected), the two approaches give different epidemic thresholds, with the branching process approximation being more in agreement with simulations.Society for Mathematical BiologyMinisterio de Economía y Competitividad (Espanya)info2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion28 p.application/pdfhttp://hdl.handle.net/10256/13174http://hdl.handle.net/10256/13174© Bulletin of Mathematical Biology, 2016, vol. 78, núm. 12, p. 2427-2454Articles publicats (D-IMAE)Britton, T. Juher, David Saldaña Meca, Joan 2016 A network epidemic model with preventive rewiring: comparative analysis of the initial phase Bulletin of Mathematical Biology 78 12 2427 2454reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11538-016-0227-4info:eu-repo/semantics/altIdentifier/issn/0092-8240info:eu-repo/semantics/altIdentifier/eissn/1522-9602info:eu-repo/grantAgreement/MINECO//MTM2014-52402-C3-3-PTots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/131742026-05-29T05:05:01Z
dc.title.none.fl_str_mv A network epidemic model with preventive rewiring: comparative analysis of the initial phase
title A network epidemic model with preventive rewiring: comparative analysis of the initial phase
spellingShingle A network epidemic model with preventive rewiring: comparative analysis of the initial phase
Britton, Tom
Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Processos de ramificació
Branching processes
Processos estocàstics
Stochastic processes
title_short A network epidemic model with preventive rewiring: comparative analysis of the initial phase
title_full A network epidemic model with preventive rewiring: comparative analysis of the initial phase
title_fullStr A network epidemic model with preventive rewiring: comparative analysis of the initial phase
title_full_unstemmed A network epidemic model with preventive rewiring: comparative analysis of the initial phase
title_sort A network epidemic model with preventive rewiring: comparative analysis of the initial phase
dc.creator.none.fl_str_mv Britton, Tom
Juher, David
Saldaña Meca, Joan
author Britton, Tom
author_facet Britton, Tom
Juher, David
Saldaña Meca, Joan
author_role author
author2 Juher, David
Saldaña Meca, Joan
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (Espanya)
dc.subject.none.fl_str_mv Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Processos de ramificació
Branching processes
Processos estocàstics
Stochastic processes
topic Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Processos de ramificació
Branching processes
Processos estocàstics
Stochastic processes
description Un erratum d'aquest article s'ha publicat a 'Bulletin of Mathematical Biology', 2017, vol. 79, núm. 7, p. 1687-1689. DOI https://doi.org/10.1007/s11538-017-0295-0 o també està disponible al DUGiDocs a http://hdl.handle.net/10256/14329
publishDate 2016
dc.date.none.fl_str_mv 2016
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/13174
http://hdl.handle.net/10256/13174
url http://hdl.handle.net/10256/13174
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s11538-016-0227-4
info:eu-repo/semantics/altIdentifier/issn/0092-8240
info:eu-repo/semantics/altIdentifier/eissn/1522-9602
info:eu-repo/grantAgreement/MINECO//MTM2014-52402-C3-3-P
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 28 p.
application/pdf
dc.publisher.none.fl_str_mv Society for Mathematical Biology
publisher.none.fl_str_mv Society for Mathematical Biology
dc.source.none.fl_str_mv © Bulletin of Mathematical Biology, 2016, vol. 78, núm. 12, p. 2427-2454
Articles publicats (D-IMAE)
Britton, T. Juher, David Saldaña Meca, Joan 2016 A network epidemic model with preventive rewiring: comparative analysis of the initial phase Bulletin of Mathematical Biology 78 12 2427 2454
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869402818963570688
score 15,812429

Similares en LA Referencia