In this paper we propose the global dynamics of an SIRI epidemic model with latency and a general nonlinear incidence function.\nThe model is based on the susceptible-infective-recovered (SIR) compartmental structure with relapse (SIRI). Sufficient conditions\nfor the global stability of equilibria (the disease-free equilibrium and the endemic equilibrium) are obtained by means of Lyapunov-\nLaSalle theorem. Also some numerical simulations are given to illustrate this result.
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