Stability analysis of an SVIR epidemic modelwith non-linear saturated incidence rate

摘要

In this paper, we present an SVIR epidemic model with non-linearsaturated incidence rate. Initially the basic formulation of the modelis presented. Two equilibrium point exists for the system; disease freeand endemic equilibrium. The stability of the disease free and endemicequilibrium exists when the basic reproduction less or greater than unity,respectively. If the value of R0, less then one then the disease freeequilibrium is locally as well as globally asymptotically stable, and ifits exceeds, the endemic equilibrium is stable both locally and globally.The numerical results are presented for illustration.