Xiaowan Li, Xiaojie Lin, Jiang Liu
Abstract:
In this article, we consider a predator-prey system with
mutual interference and Crowley-Martin functional response.
We obtain positive solutions for the system by
using the comparison principle. The existence of
periodic solutions is established by applying coincidence degree
theory. In addition, we obtain that the system has only one positive
periodic solution which is a global attractor by constructing a proper
Lyapunov function.
Submitted April 10, 2017. Published November 26, 2018.
Math Subject Classifications: 92D25, 34C25.
Key Words: Predator-prey model; Crowley-Martin functional response;
periodic solution; permanence; global attractor; Lyapunov function.
Show me the PDF file (267 KB), TEX file for this article.
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Xiaowan Li School of Mathematics Jilin University Changchun 130012, China email: xiaowan0207@163.com |
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Xiaojie Lin School of Mathematics and Statistics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: linxiaojie1973@163.com |
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Jiang Liu School of Mathematics and Statistics Jiangsu Normal University Xuzhou, Jiangsu 221116, China email: jiangliu@jsnu.edu.cn |
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