Show simple item record

dc.contributor.authorNakata, Y.
dc.date.accessioned2017-02-21T08:16:50Z
dc.date.available2017-02-21T08:16:50Z
dc.date.issued2011-12-31
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/447
dc.description.abstractIn this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number of the virus is identified and it is shown that the uninfected equilibrium is globally asymptotically stable if the basic reproduction number is equal to or less than unity. Moreover, the virus and infected cells eventually persist and there exists a unique infected equilibrium which is globally asymptotically stable if the basic reproduction number is greater than unity. The basic reproduction number determines the equilibrium that is globally asymptotically stable, even if there is a time delay in the infection.
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.subjectGlobal asymptotic stability
dc.subjectNonlinear incidence rate
dc.subjectUniform persistence
dc.subjectVirus dynamics models
dc.titleGlobal dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.na.2010.12.030
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79952575805&doi=10.1016%2fj.na.2010.12.030&partnerID=40&md5=c2c601681ae4f440fddd3d1e18121252
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNonlinear Analysis, Theory, Methods and Applicationsen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España