Permanence for nonautonomous predator-prey Kolmogorov systems with impulses and its applications

In this paper, the general impulsive non-autonomous predator-prey Kolmogorov system is studied. Some new criteria on the permanence and ultimate boundedness are established. As applications of these results, some special models are studied, such as a class of impulsive non-autonomous Lotka-Volterra systems, impulsive Holling I-type functional response systems, impulsive Holling (m,n)-type functional response systems, impulsive Beddington-DeAngelis functional response systems, Leslie-Gower functional response systems and chemostat-type systems.