捕食者具有阶段结构Holling II类功能性反应的捕食模型

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Positive Periodic Solutions of a Delayed Predator-Prey System with Holling Type II Functional Response

Chen Fengde;Chen Xiaoxing ;Zhang Huiying

College of Mathematics and Computer Sciences, Fuzhou University

Received:2003-11-05 Revised:2004-12-10 Online:2006-02-25 Published:2006-02-25
Contact: Chen Fengde

Abstract

Abstract: By using a continuation theorem based on Gaines and Mawhin's coincidence degree, the authors study the global exisence of positive periodic solutions of a delayed predator-prey system with Holling II type response and stage structure for predator. A set of easily verifiable sufficient conditions is obtained, which improves some known results. Also, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the global attractivity of the positive periodic solution are obtained.

Key words: Periodic solution, Holling II type functional response, Stage structure, Coincidence degree, Delay

CLC Number:

34K20

Chen Fengde;Chen Xiaoxing ;Zhang Huiying. Positive Periodic Solutions of a Delayed Predator-Prey System with Holling Type II Functional Response[J].Acta mathematica scientia,Series A, 2006, 26(1): 93-103.

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Positive Periodic Solutions of a Delayed Predator-Prey System with Holling Type II Functional Response

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