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A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorAINSEBA, Bedr'Eddine
hal.structure.identifierLaboratoire International de Recherche en Informatique et Mathématiques Appliquées [LIRIMA]
dc.contributor.authorKOUCHE, Mahieddine
dc.date.accessioned2024-04-04T02:27:45Z
dc.date.available2024-04-04T02:27:45Z
dc.date.created2010
dc.date.issued2010
dc.identifier.issn1641-876X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190044
dc.description.abstractEnIn this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent with the existence of an infected equilibrium. Numerical simulations indicate that, depending on the fraction of cells surviving the incubation period, the solutions approach either an infected steady state or a periodic orbit.
dc.language.isoen
dc.publisherUniversity of Zielona Góra
dc.title.enA mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation
dc.typeArticle de revue
dc.identifier.doi10.2478/v10006-010-0045-z
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
bordeaux.journalInternational Journal of Applied Mathematics and Computer Science
bordeaux.page601-612
bordeaux.volume20
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00547024
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00547024v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Applied%20Mathematics%20and%20Computer%20Science&rft.date=2010&rft.volume=20&rft.issue=3&rft.spage=601-612&rft.epage=601-612&rft.eissn=1641-876X&rft.issn=1641-876X&rft.au=AINSEBA,%20Bedr'Eddine&KOUCHE,%20Mahieddine&rft.genre=article


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