Analysis and optimal control of an HIV model with logistic growth and infected cells in eclipse phase

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dc.contributor.authorHARROUDİ, Sanaa
dc.contributor.authorDANANE, Jaouad
dc.contributor.authorALLALİ, Karam
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-03T10:59:11Z
dc.date.available2021-11-03T10:59:11Z
dc.date.issued2019-02-01
dc.description.abstractA mathematical model of the human immunodeficiency virus infection with logistic growth, infected cells in eclipse phase and therapy is investigated. The model includes four nonlinear differential equations describing the evolution of uninfected CD4⁺ T cells, infected CD4⁺ T cells in latent stage, productively infected CD4⁺ T cells and free virus. Two types of treatments are incorporated into the model; the purpose of the first one consists to block the viral proliferation while the role of the second is to prevent new infections. The positivity and boundedness of solutions are established. The local stability of the disease free steady state and the infection steady states are studied. An optimal control problem is proposed and investigated. Numerical simulations are performed, confirming stability of the free and endemic equilibria and illustrating the effectiveness of the two incorporated treatments via an efficient optimal control.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1089tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage1073tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.501595tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75863
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.501595tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectHIV infectiontr_TR
dc.subjectLogistic growthtr_TR
dc.subjectTreatmenttr_TR
dc.titleAnalysis and optimal control of an HIV model with logistic growth and infected cells in eclipse phasetr_TR
dc.typeArticletr_TR

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Cilt:68 Sayı:01 (2019)