Electron. J. Diff. Eqns., Vol. 2005(2005), No. 31, pp. 1-14.

Periodic solutions for a delayed predator-prey system with dispersal and impulses

Qiming Liu, Shijie Dong

Abstract:
A delayed predator-prey system with prey dispersal in n-patch environments and impulse effects is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.

Submitted November 1, 2004. Published March 18, 2005.
Math Subject Classifications: 34K13, 34K45, 92D25.
Key Words: Predator-prey system; impulse; dispersion; periodic solution; coincidence degree.

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Qiming Liu
Department of Mathematics
Shijiazhuang Mechanical Engineering College
Shijiazhuang 050003, China
email: llqm2002@yahoo.com.cn
  Shijie Dong
Department of Mathematics
Shijiazhuang Mechanical Engineering College
Shijiazhuang 050003, China
email: j_ds@sina.com

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