Abstract and Applied Analysis

Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model

Huidong Cheng, Tongqian Zhang, and Fang Wang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 126018, 18 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475887

Digital Object Identifier
doi:10.1155/2012/126018

Mathematical Reviews number (MathSciNet)
MR2991004

Zentralblatt MATH identifier
1253.34043

Citation

Cheng, Huidong; Zhang, Tongqian; Wang, Fang. Existence and Attractiveness of Order One Periodic Solution of a Holling I Predator-Prey Model. Abstr. Appl. Anal. 2012 (2012), Article ID 126018, 18 pages. doi:10.1155/2012/126018. https://projecteuclid.org/euclid.aaa/1364475887


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