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
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
Vecchio Antonia
2012
Abstract
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 modelFile in questo prodotto:
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