A　two-species　periodic　ratio-dependent　predator-prey　model　with　Holling　type　functional　response　and　diffusion　is　investigated.　Three　different　sets　of　sufficient　conditions　(one　set　is　diffusive　independent　and　the　other　two　sets　are　diffusive　dependent)　which　ensure　the　permanence　of　the　system　and　a　set　of　sufficient　condition　which　ensure　the　extinction　of　the　predator　species　are　obtained.　Examples　together　with　their　numeric　simulations　show　the　feasibility　of　the　main　results.　©　2007　Elsevier　Inc.　All　rights　reserved.