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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/20.500.11824/436
dc.description.abstractWe study the global dynamics of a time delayed epidemic model proposed by Liu et al. (2008) [J. Liu, J. Wu, Y. Zhou, Modeling disease spread via transport-related infection by a delay differential equation, Rocky Mountain J. Math. 38 (5) (2008) 15251540] describing disease transmission dynamics among two regions due to transport-related infection. We prove that if an endemic equilibrium exists then it is globally asymptotically stable for any length of time delay by constructing a Lyapunov functional. This suggests that the endemic steady state for both regions is globally asymptotically stable regardless of the length of the travel time when the disease is transferred between two regions by human transport.
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.subjectDelay differential equations
dc.subjectGlobal asymptotic stability
dc.subjectLyapunov functional
dc.subjectTransport-related infection
dc.titleOn the global stability of a delayed epidemic model with transport-related infection
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.nonrwa.2011.05.004
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80052031092&doi=10.1016%2fj.nonrwa.2011.05.004&partnerID=40&md5=76db9388a09dfba22ea2c95f8f1ddd5f
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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