Electron. J. Diff. Eqns., Vol. 2008(2008), No. 88, pp. 1-11.

Positive periodic solutions for a predator-prey model with time delays and impulsive effect

Shan Gao, Yongkun Li

Abstract:
In this article, a two-species predator-prey model with time delays and impulsive effect is investigated. By using Mawhin's continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solutions.

Submitted April 7, 2008. Published June 21, 2008.
Math Subject Classifications: 34K13, 34K45, 92D25.
Key Words: Predator-prey model; impulse; positive periodic solution; coincidence degree.

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Shan Gao
Department of Mathematics, Yunnan University
Kunming, Yunnan, 650091, China
email: 2002711036@163.com
Yongkun Li
Department of Mathematics, Yunnan University
Kunming, Yunnan, 650091, China
email: yklie@ynu.edu.cn

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