Electron. J. Diff. Eqns., Vol. 2008(2008), No. 158, pp. 1-14.

Positive periodic solutions for an impulsive ratio-dependent predator-prey system with delays

Yan Liu, Quanyi Wang

Abstract:
In this paper, we study a periodic ratio-dependent predator-prey system of two species with impulse and multiple time delays. By means of analysis techniques and the continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive periodic solutions of the system. Our results extend previous results obtained in [9].

Submitted May 28, 2008. Published December 3, 2008.
Math Subject Classifications: 34K45, 34K13, 92D25.
Key Words: Positive periodic solution; ratio-dependent; time delay; predator-prey system; impulse; coincidence degree theory.

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Yan Liu
School of mathematical sciences, Huaqiao University
Quanzhou, Fujian 362021, China
email: liuyanlxly@yahoo.com.cn
Quanyi Wang
School of mathematical sciences, Huaqiao University
Quanzhou, Fujian 362021, China
email: qywang@hqu.edu.cn

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