Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 197, pp. 1-13.

Title: Traveling waves in a diffusive predator-prey model with
       general functional response
 
Authors: Zhaoquan Xu  (South China Normal Univ., Guangzhou, China)
         Peixuan Weng (South China Normal Univ., Guangzhou, China)

Abstract:
 This article concerns the existence of traveling waves in a diffusive
 predator-prey model with general functional response.
 By applying the Schauder fixed theorem, we establish existence results
 of traveling wave solutions. The results are then applied to the
 predator-prey model with Holling type-II response.
 Our results indicate that there is a transition zone moving from the
 state with no species to the coexistence state of both species.

Submitted February 20, 2012. Published November 10, 2012.
Math Subject Classifications: 34C12, 34C37, 35K57, 92D25.
Key Words: Traveling waves; general functional response; 
           Schauder's fixed theorem.