Traveling wave solutions of n-dimensional delayed reaction-diffusion systems and application to four-dimensional predator-prey systems.

This paper deals with the existence of traveling wave solutions for n-dimensional delayed reaction-diffusion systems. By using Schauder's fixed point theorem, we establish the existence result of a traveling wave solution connecting two steady states by constructing a pair of upper-lower solutions that are easy to construct. As an application, we apply our main results to a four-dimensional delayed predator-prey system and obtain the existence of traveling wave solutions. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]