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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. © 2011 Elsevier Ltd. All rights reserved.
dc.formatapplication/pdf
dc.languageeng
dc.publisherNonlinear Analysis: Real World Applications
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
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/article
dc.typeinfo:eu-repo/semantics/publishedVersion
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


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