Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects

TL;DR

This paper investigates the existence, uniqueness, and behavior of travelling wavefronts in nonlocal diffusion equations with delay effects, providing insights into their mathematical properties and long-term dynamics.

Contribution

It introduces new results on wavefront properties in delayed, nonlocal diffusion models, extending previous understanding of such equations.

Findings

Existence of travelling wavefronts established

Monotonicity and uniqueness conditions derived

Asymptotic behavior characterized

Abstract

This paper deals with the existence, monotonicity, uniqueness and asymptotic behaviour of travelling wavefronts for a class of temporally delayed, spatially nonlocal diffusion equations.