Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate

Abstract

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 individuals I(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. © 2013 Qixing Han et al.