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dc.contributor.authorMuroya, Y.
dc.contributor.authorEnatsu, Y.
dc.contributor.authorNakata, Y.
dc.date.accessioned2017-02-21T08:16:50Z
dc.date.available2017-02-21T08:16:50Z
dc.date.issued2011-12-31
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/445
dc.description.abstractIn this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative techniques, we establish sufficient conditions for the global asymptotic stability of endemic equilibrium of system which become partial answers to the open problem in [Hai-Feng Huo, Zhan-Ping Ma, Dynamics of a delayed epidemic model with non-monotonic incidence rate, Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 459-468]. Moreover, combining both monotone iterative techniques and the Lyapunov functional techniques to an SIR model by perturbation, we derive another type of sufficient conditions for the global asymptotic stability of the endemic equilibrium.
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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.subjectGlobal asymptotic stability
dc.subjectLyapunov functional technique
dc.subjectMonotone iterative technique
dc.subjectNonlinear incidence rate
dc.subjectPermanence
dc.subjectSIRS epidemic model
dc.titleGlobal stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jmaa.2010.10.010
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78651240621&doi=10.1016%2fj.jmaa.2010.10.010&partnerID=40&md5=73bba880f4ef488d2fbcf1623c331ddc
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Mathematical Analysis and Applicationsen_US


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