With　the　help　of　a　continuation　theorem　based　on　Gaines　and　Mawhin＇s　coincidence　degree,　easily　verifiable　criteria　are　established　for　the　existence　of　multiple　positive　periodic　solutions　of　delayed　predator-prey　systems　with　type　IV　functional　responses　on　time　scales.　Our　results　not　only　unify　the　existing　ones　but　also　widen　the　range　of　applications.