Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 31, pp. 1-14.

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

Authors: Qiming Liu  (Shijiazhuang Mech. Engr. College, China)
         Shijie Dong (Shijiazhuang Mech. Engr. College, China)
 
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.