Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 81, pp. 1-12.

Title: Permanence of predator-prey system with infinite delay

Authors: Jingan Cui (Nanjing Normal Univ., China)
 Yonghong Sun (Nanjing Normal Univ., China)
 
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.