In　this　paper,　we　consider　a　delayed　nonautonomous　n-species　Gilpin-Ayala　type　competitive　system,　which　is　more　general　and　more　realistic　then　classical　Lotka-Volterra　type　competition　model.　For　each　r　＜=　n,　we　establish　a　series　of　criteria　under　which　r　of　the　species　in　the　system　are　permanent　while　the　remaining　n　-　r　species　are　driven　to　extinction.　(c)　2005　Elsevier　Ltd.　All　rights　reserved.