Traveling wave solutions in nonlocal delayed reaction‐diffusion systems with partial quasimonotonicity

Abstract

In this paper, we establish the existence of traveling wave solutions in nonlocal delayed reaction-diffusion systems with partial quasimonotonicity. The method is based on Schauder's fixed point theorem and the cross-iteration scheme. We also present some applications of our results to diffusive and competition-cooperation system with nonlocal delays by choosing 3 different kernels. KEYWORDS nonlocal delay, reaction-diffusion system, traveling wave solution, upper and lower solutionsMath Meth Appl Sci. 2018;41: 5989-6016.wileyonlinelibrary.com/journal/mma