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Epidemic Spreading on Preferred Degree Adaptive Networks

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dc.contributor.authorJolad, Shivakumaren
dc.contributor.authorLiu, Wenjiaen
dc.contributor.authorSchmittmann, Beateen
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2018-10-24T17:17:53Zen
dc.date.available2018-10-24T17:17:53Zen
dc.date.issued2012-11-26en
dc.description.abstractWe study the standard SIS model of epidemic spreading on networks where individuals have a fluctuating number of connections around a preferred degree. Using very simple rules for forming such preferred degree networks, we find some unusual statistical properties not found in familiar Erdös-Rényi or scale free networks. By letting depend on the fraction of infected individuals, we model the behavioral changes in response to how the extent of the epidemic is perceived. In our models, the behavioral adaptations can be either ‘blind’ or ‘selective’ – depending on whether a node adapts by cutting or adding links to randomly chosen partners or selectively, based on the state of the partner. For a frozen preferred network, we find that the infection threshold follows the heterogeneous mean field result and the phase diagram matches the predictions of the annealed adjacency matrix (AAM) approach. With ‘blind’ adaptations, although the epidemic threshold remains unchanged, the infection level is substantially affected, depending on the details of the adaptation. The ‘selective’ adaptive SIS models are most interesting. Both the threshold and the level of infection changes, controlled not only by how the adaptations are implemented but also how often the nodes cut/add links (compared to the time scales of the epidemic spreading). A simple mean field theory is presented for the selective adaptations which capture the qualitative and some of the quantitative features of the infection phase diagram.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1371/journal.pone.0048686en
dc.identifier.eissn1932-6203en
dc.identifier.issue11en
dc.identifier.othere48686en
dc.identifier.pmid23189133en
dc.identifier.urihttp://hdl.handle.net/10919/85499en
dc.identifier.volume7en
dc.language.isoenen
dc.publisherPLOSen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleEpidemic Spreading on Preferred Degree Adaptive Networksen
dc.title.serialPLOS ONEen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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