In　this　paper,　we　consider　a　prey-predator　model　with　Holling　type　III　response　function　incorporating　a　prey　refuge.　The　purpose　of　the　work　is　to　offer　mathematical　analysis　of　the　model　and　to　discuss　some　significant　qualitative　results　that　are　expected　to　arise　from　the　interplay　of　biological　forces.　Some　numerical　simulations　are　carried　out.　(c)　2006　Elsevier　Inc.　All　rights　reserved..