Traveling waves in nonlocal diffusion systems with delays and partial quasi-monotonicity

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