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.