Invasion traveling wave solutions of a predator-prey system

This paper is concerned with the traveling wave solutions of a predator-prey system, in which intra-specific conflictions are involved. By using the comparison principle and the asymptotic speed of spreading, the existence, nonexistence and minimal wave speed of non-negative traveling wave solutions are established. Such a traveling wave solution can model the spatial-temporal process where the predator invades the territory of the prey and they eventually coexist. (C) 2013 Elsevier Ltd. All rights reserved.