Dynamics of a Stochastic Multigroup SEIR Epidemic Model

Abstract

To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number $R_0^S$ and show that it is a sharp threshold for the dynamics of SDE model. If , the disease-free equilibrium is asymptotically stable; and if $R_0^S>1$, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.