Akinyemi, S. TIbrahim, M. O.Usman, I. G.Odetunde, O.2019-10-312019-10-312016Akinyemi, S. T., Ibrahim, M. O., Usman, I. G. and Odetunde, O. (2016). Global Stability Analysis of SIR Epidemic Model with Relapse and Immunity Loss. International Journal of Applied Science and Mathematical Theory Vol. 2 No. 1 2016http://hdl.handle.net/123456789/3322A 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.enEpidemic ModelRelapseImmunity LossEquilibriaGlobal StabilityArticle