Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates

In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays h 0 p(? )f (S(t), I (t - ?))d? under the condition that the total population converges to 1. By using a technical lemma which is derived from strong condition of strict monotonicity of functions f (S,I) and f (S,I)/I with respect to S >= 0 and I > 0, we extend the global stability result for an SIR epidemic model