Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations

•An SIQS epidemic model with independent random perturbations is formulated and studied.•The unique solution is shown to remain in the positive cone with possibility 1.•The study shows the stochastic permanence and ultimate boundedness.•Numerical simulations illustrate the main theoretical results.

This article discusses a stochastic SIQS epidemic model with saturated incidence. We assume that random perturbations always fluctuate at the endemic equilibrium. The existence of a global positive solution is obtained by constructing a suitable Lyapunov function. Under some suitable conditions, we derive the stochastic boundedness and stochastic permanence of the solutions of a stochastic SIQS model. Some numerical simulations are carried out to check our results.