Journal of the Nigerian Association of Mathematical Physics

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Mathematical Model on the Viral Load/Burden of HIV/AIDS in the Body of a Host

GCE Mbah, TI Chinebu


We analyze a non-linear model of the human immunodeficiency virus (HIV) infection that considers the interaction between a replicating virus, CD4+ T cell and the cytotoxic-T-Lymphocytes (CTL) i.e. CD8+ T cell. The non-negative steady state of the model equation were obtained when P4 ≤ 1 and P4 >1, and further analyzed for stability. We observe that the steady state of the model equation when P4 ≤ 1 is asymptotically stable if P4 <1 and unstable if P4 >1. Also, we observe that the steady state of the mode equation when P4 >1 is asymptotically stable.

Keywords: Viral load/burden, CD4+ T cell count, the HIV infection and immune control.

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