Global properties of a class of models for HIV infection of CD4+ T cells and macrophages

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dc.contributor.authorElaiw, A. M.
dc.date.accessioned2024-07-12T20:52:05Z
dc.date.available2024-07-12T20:52:05Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we study the global properties of a class of human immunodeficiency virus (HIV) models. The basic model is a 5-dimensional nonlinear ODEs that describes the interaction of the HIV with two target cells, CD4+ T cells and macrophages. An HIV model with exposed state and a model with nonlinear incidence rate are also analyzed. Lyapunov functions are constructed to establish the global asymptotic stability of the uninfected and infected steady states. We have proven that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If R0>1 (or if the infected steady state exists), then the infected steady state is globally asymptotically stable. In a control system framework, we have shown that the HIV model incorporating the effect of Highly Active AntiRetroviral Therapy (HAART) is globally asymptotically controllable to the uninfected steady state.en_US
dc.identifier.citationElaiw, A. M. (2009). Global properties of a class of models for HIV infection of CD4+ T cells and macrophages. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 44-45.en_US
dc.identifier.endpage45en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage44en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2521
dc.institutionauthorElaiw, A. M.
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference on Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07905
dc.subjectGlobal stabilityen_US
dc.subjectDirect Lyapunov methoden_US
dc.subjectControllabilityen_US
dc.subjectHIV/AIDSen_US
dc.titleGlobal properties of a class of models for HIV infection of CD4+ T cells and macrophagesen_US
dc.typeConference Object
dspace.entity.typePublication

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