Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate

摘要

We investigate a stochastic SIS model with nonlinear incidence rate. We show that there exists a unique nonnegative solution to the system, and condition for the infectious individualsI(t)to be extinct is given. Moreover, we prove that the system has ergodic property. Finally, computer simulations are carried out to verify our results.