Electron. J. Diff. Equ., Vol. 2009(2009), No. 126, pp. 1-9.

Twin periodic solutions of predator-prey dynamic system on time scales

Rong-Hua He, Hong-Xu Li, Liang Zhang

Abstract:
In this article, we consider a delayed predator-prey dynamic system with type IV functional responses on time scales. Sufficient criteria for the existence of at least two periodic solutions are established by using the well-known continuation theorem due to Mawhin. An example is given to illustrate the main result.

Submitted December 2, 2008. Published October 04, 2009.
Math Subject Classifications: 92D25, 39A12.
Key Words: Time scales; delayed predator-prey dynamic system; periodic solutions; continuation theorem.

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Rong-Hua He
Department of Mathematics, Chengdu University of Information Technology
Chengdu, Sichuan 610103, China.
Department of Mathematics, Sichuan University
Chengdu, Sichuan 610064, China
email: ywlcd@cuit.edu.cn
Hong-Xu Li
Department of Mathematics, Sichuan University
Chengdu, Sichuan 610064, China
email: hoxuli@sohu.com
Liang Zhang
Department of Mathematics, Sichuan University
Chengdu, Sichuan 610064, China
email: lzhang1979@yahoo.com.cn

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