We　formulate　and　investigate　the　psychological　effect　of　single-species　population　models　in　a　polluted　environment　in　this　paper.　For　the　deterministic　single-species　population　model,　the　conditions　that　guarantee　the　local　extinction　and　persistence　in　the　mean　are　derived　firstly.　We　then　show　that,　around　the　pollution-free　equilibrium,　the　stochastic　single-species　population　is　weakly　persistent　in　the　mean,　and　is　stochastically　permanent　under　some　conditions.　As　a　consequence,　some　numerical　simulations　demonstrate　the　efficiency　of　the　main　results.　(C)　2017　Elsevier　Inc.　All　rights　reserved.