We　propose　stage-structured　single-species　population　models　with　psychological　effects　and　partial　tolerance　in　polluted　environments　in　this　paper.　First,　the　conditions　of　extinction　and　the　time　for　extinction　are　investigated　respectively.　Especially,　the　time　for　extinction　takes　longer　as　the　value　of　the　psychological　effects　increases.　Then　the　weak　persistence　in　the　mean　around　the　pollution-free　equilibrium　and　the　stochastic　permanence　have　been　derived　under　some　moderate　conditions.　Further,　the　existence　of　a　periodic　solution　for　the　periodic　single-species　population　has　been　determined.　The　corresponding　numerical　simulations　verify　the　efficiency　of　the　main　theoretical　results.　©　2022　the　Author(s),　licensee　AIMS　Press.