Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

Abstract

In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion. Our proofs make use of the comparison principles both to construct suitable sub/super-solutions and to prove the regularity of travelling wave solutions.

Keywords

• Age structure
• nonlocal diffusion
• travelling wave solutions
• spreading speeds
• 35K55
• 35C07
• 45G10
• 92D30