具Hassell-Varley-Holling反应非自治捕食者-食饵系统的动力学分析

Abstract

Abstract:

This paper deals with a non-autonomous predator-prey system with Hassell-Varley-Holling functional response. The permanence and extinction are considered for general non-autonomous case. For 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 problems remaining.

Key words: Hassell-Varley-Holling functional response, Predator-prey system, Permanence, Extinction, Periodic solution, Almost periodic solution

CLC Number:

34C60

ZHONG Min-Ling, LIU Xiu-Xiang. Dynamical Analysis of a Predator-prey System with Hassell-Varley-Holling Functional Response[J].Acta mathematica scientia,Series A, 2011, 31(5): 1295-1310.

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Dynamical Analysis of a Predator-prey System with Hassell-Varley-Holling Functional Response

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