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.　©　2016　Elsevier　B.V.　All　rights　reserved.