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Dynamical analysis of a predator-prey system with Hassell-Varley-Holling functional response. (Chinese) Zbl 1247.92058
Summary: This paper deals with a non-autonomous predator-prey system with Hassell-Varley-Holling functional response. The permanence and extinction are considered for the general non-autonomous case. For the periodic (almost periodic) case, necessary and sufficient criteria for the existence of positive periodic (almost periodic) solutions are derived by a new estimation technique and the invariance property of homotopy. The dynamics of boundary periodic (almost periodic) solutions are also investigated. The authors end this paper with some numerical simulations and interesting remaining problems.
MSC:
92D40Ecology
34C25Periodic solutions of ODE
34C27Almost and pseudo-almost periodic solutions of ODE
65C20Models (numerical methods)