Pair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorMata, Angélica S.-
Autor(es): dc.creatorFerreira, Silvio C.-
Data de aceite: dc.date.accessioned2026-02-09T11:21:07Z-
Data de disponibilização: dc.date.available2026-02-09T11:21:07Z-
Data de envio: dc.date.issued2017-02-17-
Data de envio: dc.date.issued2017-02-17-
Data de envio: dc.date.issued2013-08-04-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/12301-
Fonte completa do material: dc.identifierhttp://epljournal.edpsciences.org/articles/epl/abs/2013/16/epl15671/epl15671.html-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1139042-
Descrição: dc.descriptionWe present a quenched mean-field (QMF) theory for the dynamics of the susceptible-infected-susceptible (SIS) epidemic model on complex networks where dynamical correlations between connected vertices are taken into account by means of a pair approximation. We present analytical expressions of the epidemic thresholds in the star and wheel graphs and in random regular networks. For random networks with a power law degree distribution, the thresholds are numerically determined via an eigenvalue problem. The pair and one-vertex QMF theories yield the same scaling for the thresholds as functions of the network size. However, comparisons with quasi-stationary simulations of the SIS dynamics on large networks show that the former is quantitatively much more accurate than the latter. Our results demonstrate the central role played by dynamical correlations on the epidemic spreading and introduce an efficient way to theoretically access the thresholds of very large networks that can be extended to dynamical processes in general.-
Idioma: dc.languageen-
Publicador: dc.publisherEPL Association-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceEPL-
Palavras-chave: dc.subjectNetworks and genealogical trees-
Palavras-chave: dc.subjectCritical point phenomena-
Palavras-chave: dc.subjectDynamics of social systems-
Título: dc.titlePair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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