An analytical approach to transmission dynamics of infectious diseases with waning immunity

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dc.contributor.authorYildirim A.
dc.contributor.authorKoÇak H.
dc.date.accessioned2019-10-27T08:33:35Z
dc.date.available2019-10-27T08:33:35Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, we present a mathematical model that describes the dynamics of reinfection under the assumption that the vaccine-induced immune protection may wane over time. The qualitative analysis reveals that the disease eradication depends on vaccination coverage as well as on vaccine efficacy. Using an appropriate Lyapunov function, we established that the disease-free equilibrium is globally asymptotically stable if the vaccination coverage level exceeds a certain threshold value. We combined homotopy perturbation method (HPM) and Padé approximation technique for this problem. Numerical simulations support our analytical conclusions and illustrate possible behavior scenarios of the model. © 2011 World Scientific Publishing Company.en_US
dc.identifier.doi10.1142/S0219519411004150
dc.identifier.endpage940en_US
dc.identifier.issn0219-5194
dc.identifier.issn0219-5194en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage929en_US
dc.identifier.urihttps://doi.org/10.1142/S0219519411004150
dc.identifier.urihttps://hdl.handle.net/11454/26821
dc.identifier.volume11en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Mechanics in Medicine and Biologyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectepidemic modelen_US
dc.subjectHomotopy perturbation methoden_US
dc.subjectLyapunov functionen_US
dc.subjectPadé techniqueen_US
dc.subjectvaccination coverageen_US
dc.subjectwaning immunityen_US
dc.titleAn analytical approach to transmission dynamics of infectious diseases with waning immunityen_US
dc.typeArticleen_US

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