Traveling wavefronts in a two-species chemotaxis model with Lotka–Volterra competitive kinetics

Abstract

This paper is devoted to the study of traveling wavefronts for a class of two-species chemotaxis models with Lotka–Volterra competitive kinetics. The existence of traveling wavefronts of large wave speed is established by the perturbation method. Some numerical simulations are presented to illustrate our main results.