The numerical simulation of periodic solutions for a predator-prey system

Authors:
Chun Lu;Xiaohua Ding;Mingzhu Liu
Affiliations:
Department of Mathematics, Qingdao Technological University, Qingdao 266520, China and Department of Mathematics, Harbin Institute of Technology(Weihai), Weihai 264209, China;Department of Mathematics, Harbin Institute of Technology(Weihai), Weihai 264209, China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.