Traveling wave solutions in n-dimensional delayed nonlocal diffusion system with mixed quasimonotonicity

Abstract

This paper is devoted to the study of an n-dimensional delayed system with nonlocal diffusion and mixed quasimonotonicity. By developing a new definition of upper-lower solutions and a new cross iteration scheme, we establish some existence results of traveling wave solutions. These results are applied to a nonlocal diffusion model which takes the four-species Lotka-Volterra model as its special case.