Traveling wave solutions of a diffusive predator-prey system with Holling II type functional response

Abstract

In this paper, we discuss a three-dimensional diffusive predator-prey system with nonlocal terms and Holling II type functional response. According to the relationship between traveling wave and heteroclinic orbit, the predator-prey system is transformed into the singularly perturbed system. Based on the method of the geometric singular perturbation theory, we construct a locally invariant manifold to obtain the traveling wave solutions with nonlocal delay convolution kernel.