Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 131, pp. 1-11.

Title: Asymptotic behavior of a predator-prey diffusion system
       with time delays
       
Authors: Yijie Meng (Xiang Fan Univ., China)
         Yifu Wang  (Xiang Fan Univ., China)

Abstract: 
 In this paper, we study a class of reaction-diffusion systems
 with time delays, which models the dynamics  of predator-prey species.
 The global asymptotic convergence is established by the upper-lower
 solutions and iteration method in terms of the rate constants of
 the reaction  function, independent of the time delays and the
 effect of diffusion.
 
Submitted September 12, 2005. Published November 24, 2005.
Math Subject Classifications: 35B40.
Key Words: Predator-prey diffusion system; asymptotic behavior;
           time delays; upper-lower solutions.