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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.issn0252-9602
dc.identifier.urihttp://hdl.handle.net/20.500.11824/410
dc.description.abstractIn this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using strict monotonicity of the incidence function and constructing a Lyapunov functional, we obtain sufficient conditions under which the endemic equilibrium is globally asymptotically stable. When the nonlinear incidence rate is a saturated incidence rate, our result provides a new global stability condition for a small rate of immunity loss.
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.titleGlobal stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/S0252-9602(12)60066-6
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84860842742&doi=10.1016%2fS0252-9602%2812%2960066-6&partnerID=40&md5=d46baffa483dc2069bf0fedf6c604e40
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleActa Mathematica Scientiaen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España