Asymmetry in the Presence of Migration Stabilizes Multistrain Disease Outbreaks
Identifieur interne : 001746 ( Istex/Corpus ); précédent : 001745; suivant : 001747Asymmetry in the Presence of Migration Stabilizes Multistrain Disease Outbreaks
Auteurs : Simone Bianco ; Leah B. ShawSource :
- Bulletin of Mathematical Biology [ 0092-8240 ] ; 2011-01-01.
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Abstract
Abstract: We study the effect of migration between coupled populations, or patches, on the stability properties of multistrain disease dynamics. The epidemic model used in this work displays a Hopf bifurcation to oscillations in a single, well-mixed population. It is shown numerically that migration between two non-identical patches stabilizes the endemic steady state, delaying the onset of large amplitude outbreaks and reducing the total number of infections. This result is motivated by analyzing generic Hopf bifurcations with different frequencies and with diffusive coupling between them. Stabilization of the steady state is again seen, indicating that our observation in the full multistrain model is based on qualitative characteristics of the dynamics rather than on details of the disease model.
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DOI: 10.1007/s11538-010-9541-4
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The epidemic model used in this work displays a Hopf bifurcation to oscillations in a single, well-mixed population. It is shown numerically that migration between two non-identical patches stabilizes the endemic steady state, delaying the onset of large amplitude outbreaks and reducing the total number of infections. This result is motivated by analyzing generic Hopf bifurcations with different frequencies and with diffusive coupling between them. Stabilization of the steady state is again seen, indicating that our observation in the full multistrain model is based on qualitative characteristics of the dynamics rather than on details of the disease model.</div></front></TEI><istex><corpusName>springer-journals</corpusName><author><json:item><name>Simone Bianco</name><affiliations><json:string>Department of Applied Science, The College of William and Mary, P.O. 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Box 8795</Postbox><City>Williamsburg</City><State>VA</State><Postcode>23187-8795</Postcode><Country Code="US">USA</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En" OutputMedium="All"><Heading>Abstract</Heading><Para>We study the effect of migration between coupled populations, or patches, on the stability properties of multistrain disease dynamics. The epidemic model used in this work displays a Hopf bifurcation to oscillations in a single, well-mixed population. It is shown numerically that migration between two non-identical patches stabilizes the endemic steady state, delaying the onset of large amplitude outbreaks and reducing the total number of infections. This result is motivated by analyzing generic Hopf bifurcations with different frequencies and with diffusive coupling between them. Stabilization of the steady state is again seen, indicating that our observation in the full multistrain model is based on qualitative characteristics of the dynamics rather than on details of the disease model.</Para></Abstract><KeywordGroup Language="En"><Heading>Keywords</Heading><Keyword>Dengue</Keyword><Keyword>Metapopulation models</Keyword></KeywordGroup></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Asymmetry in the Presence of Migration Stabilizes Multistrain Disease Outbreaks</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Asymmetry in the Presence of Migration Stabilizes Multistrain Disease Outbreaks</title></titleInfo><name type="personal" displayLabel="corresp"><namePart type="given">Simone</namePart><namePart type="family">Bianco</namePart><affiliation>Department of Applied Science, The College of William and Mary, P.O. Box 8795, 23187-8795, Williamsburg, VA, USA</affiliation><affiliation>E-mail: sbianco@wm.edu</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Leah</namePart><namePart type="given">B.</namePart><namePart type="family">Shaw</namePart><affiliation>Department of Applied Science, The College of William and Mary, P.O. Box 8795, 23187-8795, Williamsburg, VA, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Springer-Verlag</publisher><place><placeTerm type="text">New York</placeTerm></place><dateCreated encoding="w3cdtf">2009-08-04</dateCreated><dateIssued encoding="w3cdtf">2011-01-01</dateIssued><copyrightDate encoding="w3cdtf">2010</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: We study the effect of migration between coupled populations, or patches, on the stability properties of multistrain disease dynamics. The epidemic model used in this work displays a Hopf bifurcation to oscillations in a single, well-mixed population. It is shown numerically that migration between two non-identical patches stabilizes the endemic steady state, delaying the onset of large amplitude outbreaks and reducing the total number of infections. This result is motivated by analyzing generic Hopf bifurcations with different frequencies and with diffusive coupling between them. 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