Dynamics of DS‐I‐A epidemic model with multiple stochastic perturbations.

In this paper, we investigate the dynamics behavior of DS‐I‐A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results. [ABSTRACT FROM AUTHOR]