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dc.contributor.authorEnatsu, Y.
dc.contributor.authorNakata, Y.
dc.contributor.authorMuroya, Y.
dc.date.accessioned2017-02-21T08:16:49Z
dc.date.available2017-02-21T08:16:49Z
dc.date.issued2011-12-31
dc.identifier.issn1531-3492
dc.identifier.urihttp://hdl.handle.net/20.500.11824/440
dc.description.abstractIn this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global prop-erties of the model by proving the permanence and constructing a suitable Lyapunov functional. Under some suitable assumptions on the nonlinear term in the incidence rate, the global dynamics of the model is completely deter-mined by the basic reproduction number R0 and the distributed delays do not influence the global dynamics of the model.
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.subjectPermanence
dc.subjectSIR epidemic models
dc.titleGlobal stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.3934/dcdsb.2011.15.61
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78651244615&doi=10.3934%2fdcdsb.2011.15.61&partnerID=40&md5=06148e7435be3444ddf6f86b489b4a19
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleDiscrete and Continuous Dynamical Systems - Series Ben_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