Browsing by Author "Usman, I. G."

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    Global Stability Analysis of Sir Epidemic Model with Relapse and Immunity Loss
    (International Journal of Applied Science and Mathematical Theory ISSN 2489-009X Vol. 2 No.1 2016 www.iiardpub.org, 2016) Akinyemi, S. T; Ibrahim, M. O.; Usman, I. G.; Odetunde, O.
    A deterministic mathematical model for the transmission dynamics of infectious disease with immunity loss and relapse was built and analyzed. The model was shown to exhibit two equilibria, namely, a disease free equilibrium and an endemic equilibrium. The computated basic reproductive number (R_0) was used to establish that whenever R_0<1, the disease free equilibrium is locally asymptotically stable and the endemic equilibrium is locally asymptotically stable whenever R_0>1. Furthermore the global stability for the two equilibria was investigated using Lyapunov function. The model was simulated numerically to validate the analytical results.