Browsing by Author "Moses, M. A."

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    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, 2016) Akinyemi, S. T; Ibrahim, M. O.; Moses, M. A.; Edogbanya, H. O.; Odetunde, O.
    In 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 unity