Dynamics of a Stochastic Multigroup SEIR Epidemic Model

[摘要] To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction numberR0Sand show that it is a sharp threshold for the dynamics of SDE model. IfR0S<1, the disease-free equilibrium is asymptotically stable; and ifR0S>1, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.

[学科分类] 应用数学