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dc.contributor.authorEnatsu, Y.
dc.contributor.authorNakata, Y.
dc.contributor.authorMuroya, Y.
dc.date.accessioned2017-02-21T08:16:48Z
dc.date.available2017-02-21T08:16:48Z
dc.date.issued2012-12-31
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/20.500.11824/416
dc.description.abstractIn this paper, we study the global dynamics of a delayed SIRS epidemic model for transmission of disease with a class of nonlinear incidence rates of the form βS(t)∫ 0 hf(τ)G(I(t-τ))dτ. Applying Lyapunov functional techniques in the recent paper [Y. Nakata, Y. Enatsu, Y. Muroya, On the global stability of an SIRS epidemic model with distributed delays, Discrete Contin. Dyn. Syst. Supplement (2011) 11191128], we establish sufficient conditions of the rate of immunity loss for the global asymptotic stability of an endemic equilibrium for the model. In particular, we offer a unified construction of Lyapunov functionals for both cases of R 0 ≤ 1 and R 0 > 1, where R 0 is the basic reproduction number.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectDistributed delays
dc.subjectGlobal asymptotic stability
dc.subjectLyapunov functional
dc.subjectNonlinear incidence rate
dc.subjectSIRS epidemic model
dc.titleLyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.nonrwa.2012.01.007
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84859101715&doi=10.1016%2fj.nonrwa.2012.01.007&partnerID=40&md5=5dc6900e3a7ae59be6c3b17037632c36
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNonlinear Analysis: Real World Applicationsen_US


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