Asymptotic Behavior and Stability of SIS System with Random Perturbations

In this paper, we consider a SIS epidemic model with random perturbations. Usually, epidemiological models with bilinear incidence rate have an asymptotically stable trivial equilibrium. We present the stability conditions of the disease-free equilibrium of the stochastic SIS system for epidemics and carry out a detailed analysis on asymptotic stability in pth moment.