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A dynamical analysis of the virus replication epidemic model

dc.contributor.authorKuşbeyzi Aybar, İlknuren_US
dc.date.accessioned2020-10-23T09:07:25Z
dc.date.available2020-10-23T09:07:25Z
dc.date.issued2019
dc.identifier.citationKuşbeyzi Aybar, İ. (2019). A dynamical analysis of the virus replication epidemic model. TWMS Journal of Applied and Engineering Mathematics, 9(2), 206-219.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/2709
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/101-vol9no2/400
dc.description.abstractIn this article, the stability and the computational algebraic properties of a virus replication epidemic model is investigated. The model is represented by a three dimensional dynamical system with six parameters. The conditions for the existence of Hopf bifurcation in the system are given. Then, the model with the BeddingtonDeAngelis functional response instead of the original nonlinear response function has been studied in order to understand the effect of the Beddington-DeAngelis functional response on the qualitative properties of the system. The stability of the systems at the singular points is investigated and the conditions for the systems to have the analytic first integrals and Hopf bifurcation are given. Finally, the results are illustrated by giving numerical examples.en_US
dc.description.sponsorshipWe acknowledge the support by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 113F383. We gratefully thank the referee for the constructive comments which has improved the scientific content of the paper.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectEpidemic modelen_US
dc.subjectStabilityen_US
dc.subjectAnalytic first integralen_US
dc.subjectAlgebraic Invarianten_US
dc.subjectHopf bifurcationen_US
dc.subjectGlobal stabilityen_US
dc.subjectSiren_US
dc.subjectSystemen_US
dc.titleA dynamical analysis of the virus replication epidemic modelen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume9
dc.identifier.issue2
dc.identifier.startpage206
dc.identifier.endpage219
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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