Electron. J. Differential Equations, Vol. 2018 (2018), No. 191, pp. 1-17.

Existence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional response

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.

Xiaowan Li
School of Mathematics
Jilin University
Changchun 130012, China
email: xiaowan0207@163.com
Xiaojie Lin
School of Mathematics and Statistics
Jiangsu Normal University
Xuzhou, Jiangsu 221116, China
email: linxiaojie1973@163.com
Jiang Liu
School of Mathematics and Statistics
Jiangsu Normal University
Xuzhou, Jiangsu 221116, China
email: jiangliu@jsnu.edu.cn

Return to the EJDE web page