Abstract: A nonautonomous predator-prey and competition system of ratio-dependent and functional response II’ system with feedback controls is investigated，sufficient conditions are obtained for the persistence  of this system by using  comparison theorem.Especially，when the system is a periodic system，sufficient conditions are derived to guarantee the existence,uniqueness and global asymptotic stability of   the positive periodic solution by using  the method of constructing Lyapunov-type functions.

Key words: predator-prey and competition system, Lyapunov function, feedback controls；ratio, global asymtotic stability