Electron. J. Diff. Eqns., Vol. 2004(2004), No. 81, pp. 1-12.

Permanence of predator-prey system with infinite delay

Jingan Cui, Yonghong Sun

Abstract:
In this paper we consider a predator-prey system with periodic coefficients and infinite delay, in which the prey has a history that takes them through two stages, immature and mature. We provide a sufficient and necessary condition to guarantee the permanence of the system. The system has a positive periodic solution under this condition. Some known results are extended to the delay case.

Submitted May 25, 2004. Published June 8, 2004.
Math Subject Classifications: 92D25, 34C25.
Key Words: Predator-prey system, stage structure, permanence, periodic solution, infinite delay.

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  Jingan Cui
School of Mathematics and Computer Science
Nanjing Normal University, Nanjing 210097, China
email: cuija@njnu.edu.cn
Yonghong Sun
School of Mathematics and Computer Science
Nanjing Normal University, Nanjing 210097, China
email: loop1979@sohu.com

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