In　this　paper,　we　consider　the　effect　of　diffusion　on　the　permanence　and　extinction　of　single　and　multiple　endangered　species　that　live　in　changing　patch　environments.　Average　conditions　are　obtained　for　the　permanence　and　extinction　of　the　systems　considered.　The　results　obtained　in　this　paper　generalize　the　main　results　of　Cui　and　Chen　[The　effect　of　diffusion　on　the　time　varying　logistic　population　growth,　Comput.　Math.　Appl.　36(3)　(1998)　1-9,　Permanence　and　extinction　in　logistic　and　Lotka-Volterra　systems　with　diffusion,　J.　Math.　Anal.　Appl.　258(2)　(2001)　512-535].　©　2005　Elsevier　Inc.　All　rights　reserved.