具有Holling Ⅲ类功能反应捕食者食脉冲系统正周期解的存在性

Existence of Positive Periodic Solution for Predator-Prey Impulsive Differential System with Holling Ⅲ Functional Response

GAO Hai-yin^1,2, ZHANG Xiao-ying^1,2, WENG Shi-you^1,2, WANG Ke²

(1. Department of Applied Mathematics, Changchun University, Changchun 130022, China; 2. School of Mathematics and Statics, Northeast Normal University, Changchun 130022, China)

Received:2005-03-01 Revised:1900-01-01 Online:2006-03-26 Published:2006-03-26
Contact: GAO Hai-yin

Abstract

Abstract: We investigated the existence of positive periodic solution to predatorprey impulsive differential system with Holling Ⅲ functional response. A set of verifiable sufficient conditions of positive periodic solution for the system are obtained by means of continuity theorem in co incidence degree. The paper generalizes and improves the results in the literature.

Key words: predator-prey system, positive periodic solution, impulsive differential equation, coincidence degree

CLC Number:

O175.08

GAO Hai-yin, ZHANG Xiao-ying, WENG Shi-you, WANG Ke. Existence of Positive Periodic Solution for Predator-Prey Impulsive Differential System with Holling Ⅲ Functional Response[J].J4, 2006, 44(02): 150-156.

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Existence of Positive Periodic Solution for Predator-Prey Impulsive Differential System with Holling Ⅲ Functional Response

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