Abstract
In this paper, we present and analyze a SVIR epidemic mathematical model for rotavirus infection with vaccination and saturated incidence rate. Dynamical analysis of this model is done by determining the equilibrium point and stability of the equibrilium point. The model exhibits two equilibrium points, i.e. disease free and endemic equilibrium. The basic reproduction number Rv and R 0 has been obtained. The stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. Analytical result shows that those equilibrium points are locally asymptotically stable under certain condition. It is proved that the disease free equilibrium is globally stable when the value of basic reproduction number Rv < 1 and R 0 < 1, respectively. Numerical simulations are presented to support and complement the theoretical results.
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