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 |
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Hong-Xu Li Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, China email: hoxuli@sohu.com |
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Liang Zhang Department of Mathematics, Sichuan University Chengdu, Sichuan 610064, China email: lzhang1979@yahoo.com.cn |
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