In this paper, we consider a stochastic epidemic model with relapse, reinfection, and a general incidence function. Using stochastic tools, we establish a stochastic thresholdRs0and prove the extinction of the disease when its value is equal or less than unity. We also show the persistence in mean of the disease whenRs0>1.Moreover, we prove the existence and uniqueness of a stationary distribution. Finally, numerical simulations are presented to show the effectiveness of theoretical results.