Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks

We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topolog...

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Detalhes bibliográficos
Autores: Boguñá, Marián, Castellano, Claudio, Pastor-Satorras, R. (Romualdo), 1967-
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Recursos: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:2445/53287
Acesso em linha:https://hdl.handle.net/2445/53287
Access Level:acceso abierto
Palavra-chave:Epidemiologia
Internet
Xarxes socials
Xarxes neuronals (Neurobiologia)
Percolació (Física estadística)
Termodinàmica
Sistemes no lineals
Epidemiology
Social networks
Neural networks (Neurobiology)
Percolation (Statistical physics)
Thermodynamics
Nonlinear systems
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spelling Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in NetworksBoguñá, MariánCastellano, ClaudioPastor-Satorras, R. (Romualdo), 1967-EpidemiologiaInternetXarxes socialsXarxes neuronals (Neurobiologia)Percolació (Física estadística)TermodinàmicaSistemes no linealsEpidemiologyInternetSocial networksNeural networks (Neurobiology)Percolation (Statistical physics)ThermodynamicsNonlinear systemsWe develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.American Physical Society2014201420132014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion5 p.application/pdfhttps://hdl.handle.net/2445/53287Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.111.068701Physical Review Letters, 2013, vol. 111, p. 068701-1-068701-5http://dx.doi.org/10.1103/PhysRevLett.111.068701(c) American Physical Society, 2013info:eu-repo/semantics/openAccessoai:recercat.cat:2445/532872026-05-29T05:05:01Z
dc.title.none.fl_str_mv Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
title Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
spellingShingle Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
Boguñá, Marián
Epidemiologia
Internet
Xarxes socials
Xarxes neuronals (Neurobiologia)
Percolació (Física estadística)
Termodinàmica
Sistemes no lineals
Epidemiology
Internet
Social networks
Neural networks (Neurobiology)
Percolation (Statistical physics)
Thermodynamics
Nonlinear systems
title_short Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
title_full Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
title_fullStr Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
title_full_unstemmed Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
title_sort Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
dc.creator.none.fl_str_mv Boguñá, Marián
Castellano, Claudio
Pastor-Satorras, R. (Romualdo), 1967-
author Boguñá, Marián
author_facet Boguñá, Marián
Castellano, Claudio
Pastor-Satorras, R. (Romualdo), 1967-
author_role author
author2 Castellano, Claudio
Pastor-Satorras, R. (Romualdo), 1967-
author2_role author
author
dc.subject.none.fl_str_mv Epidemiologia
Internet
Xarxes socials
Xarxes neuronals (Neurobiologia)
Percolació (Física estadística)
Termodinàmica
Sistemes no lineals
Epidemiology
Internet
Social networks
Neural networks (Neurobiology)
Percolation (Statistical physics)
Thermodynamics
Nonlinear systems
topic Epidemiologia
Internet
Xarxes socials
Xarxes neuronals (Neurobiologia)
Percolació (Física estadística)
Termodinàmica
Sistemes no lineals
Epidemiology
Internet
Social networks
Neural networks (Neurobiology)
Percolation (Statistical physics)
Thermodynamics
Nonlinear systems
description We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.
publishDate 2013
dc.date.none.fl_str_mv 2013
2014
2014
2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/53287
url https://hdl.handle.net/2445/53287
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.111.068701
Physical Review Letters, 2013, vol. 111, p. 068701-1-068701-5
http://dx.doi.org/10.1103/PhysRevLett.111.068701
dc.rights.none.fl_str_mv (c) American Physical Society, 2013
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2013
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 5 p.
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
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_ 1869411733014052864
score 15.81155

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