Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect

This paper is devoted to the study of traveling wavefronts of large wave speed for a reaction-diffusion model with chemotaxis and nonlocal delay effect by applying the perturbation method. The proof relies on an abstract formulation of the wave profile as a solution of an operator equation in a certain Banach space, coupled with the Fredholm theory and the Banach contraction mapping principle. This result is illustrated by an application to the chemotaxis-diffusion-growth model with the logistic source and a single delay effect.