摘要：This paper considers a stochastic SIS model with saturated incidence rate. We investigate the existence and uniqueness of the positive solution to the system, and we show the condition for the infectious individuals to be extinct. Moreover, we prove that the system has the ergodic property and derive the expression for its invariant density. The simulation results are illustrated finally.
关键词：stochastic SIS model ; saturated incidence rate ; Itô’s formula ; extinction ; ergodic property
