Electron. J. Diff. Eqns., Vol. 2007(2007), No. 168, pp. 1-10.

Periodicity in a delayed ratio-dependent predator-prey system with exploited term

Zhijun Zeng, Li Zhai

Abstract:
With the help of the coincidence degree and the related continuation theorem, we explore the existence of at least two periodic solutions of a delayed ratio-dependent predator-prey system with exploited term. Some easily verifiable sufficient criteria are established for the existence of at least two positive periodic solutions.

Submitted December 2, 2006. Published December 3, 2007.
Math Subject Classifications: 34K45, 34K13, 92D25.
Key Words: Ratio-dependent predator-prey system; periodic solutions; coincidence degree.

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Zhijun Zeng
Institute of Systems Science
Academy of Mathematics and Systems Sciences
Chinese Academy of Sciences, Beijing 100080, China
email: zthzzj@amss.ac.cn
Li Zhai
School of Mathematics and Statistics
Southwest University, Chongqing 400715, China
email: zl6168@swu.edu.cn

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