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dc.contributor.authorMuroya, Y.
dc.contributor.authorEnatsu, Y.
dc.contributor.authorNakata, Y.
dc.date.accessioned2017-02-21T08:16:49Z
dc.date.available2017-02-21T08:16:49Z
dc.date.issued2011-12-31
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/20.500.11824/439
dc.description.abstractIn this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium E0 for R0<1, and applying new monotone techniques, we obtain sufficient conditions which ensure the global asymptotic stability of the endemic equilibrium of the system. The obtained results improve those in Xu and Ma (2009) [Stability of a delayed SIRS epidemic model with a nonlinear incidence rate, Chaos Solitons Fractals 41 (2009) 23192325], and are very useful for a large class of SIRS models.
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.subjectNonlinear incidence
dc.subjectSIRS epidemic model
dc.titleMonotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.nonrwa.2010.12.002
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79955524982&doi=10.1016%2fj.nonrwa.2010.12.002&partnerID=40&md5=5c545e76a35ef30a8e936181ee09e129
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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