Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications

The paper studies the general non-autonomous predator–prey Kolmogorov systems. The general criteria of integrable form on the permanence and ultimate boundedness are established. As applications of these results, the sufficient conditions of integrable form on the permanence are obtained for non-autonomous Lotka–Volterra systems, Holling I-type functional response systems, Holling (m, n)-type functional response systems, Beddington–DeAngelis functional response systems, Leslie–Gower functional response systems and chemostat-type systems.

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