Mathematical analysis of a staged progression HIV/AIDS model with screening and drug resistance

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dc.contributor.authorAkinyemi, S. T
dc.contributor.authorIbrahim, M. O.
dc.contributor.authorMoses, M. A.
dc.contributor.authorEdogbanya, H. O.
dc.contributor.authorOdetunde, O.
dc.date.accessioned2021-05-06T08:15:16Z
dc.date.available2021-05-06T08:15:16Z
dc.date.issued2016
dc.description.abstractIn this paper, a staged progression model for HIV/AIDS transmission dynamics in the presence of screening and drug resistance is developed and rigorously analyzed. The model consist of eight mutually exclusive subpupolations with two equilibria, namely the disease free and endemic equilibrium. The disease free equilibrium is shown to be globally asymptotically stable whenever the effective reproduction number is less than unity by constructing Lyapunov function. Using the Kranoselski sublinearity trick and Lyapunov function, the endemic equilibrium for a special case was establish to be locally and globally asymptotically stable respectively when its associated effective reproduction number exceeds unityen_US
dc.identifier.citation5. Akinyemi, S. T., Ibrahim, M. O., Moses, M. O., Edogbanya, H. O. & Odetunde, O. (2016). Mathematical analysis of a staged progression HIV/AIDS model with screening and drug resistance ABACUS. 43(2) 162 – 179. Published by the Mathematical Association of Nigeria.en_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/4978
dc.language.isoenen_US
dc.publisherABACUS. 43(2) 162 – 179. Published by the Mathematical Association of Nigeriaen_US
dc.subjectHIV/AIDSen_US
dc.subjectStaged progressionen_US
dc.subjectScreeningen_US
dc.subjectDrug Resistanceen_US
dc.subjectLyapunov functionen_US
dc.titleMathematical analysis of a staged progression HIV/AIDS model with screening and drug resistanceen_US
dc.typeArticleen_US

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