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2012 Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model
Huidong Cheng, Tongqian Zhang, Fang Wang
Abstr. Appl. Anal. 2012: 1-18 (2012). DOI: 10.1155/2012/126018

Abstract

According to the integrated pest management strategies, a Holling type I functional response predator-prey system concerning state-dependent impulsive control is investigated. By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution, and the attractivity of the order one periodic solution by sequence convergence rules and qualitative analysis. Numerical simulations are carried out to illustrate the feasibility of our main results which show that our method used in this paper is more efficient than the existing ones for proving the existence and attractiveness of order one periodic solution.

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Huidong Cheng. Tongqian Zhang. Fang Wang. "Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model." Abstr. Appl. Anal. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/126018

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1253.34043
MathSciNet: MR2991004
Digital Object Identifier: 10.1155/2012/126018

Rights: Copyright © 2012 Hindawi

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