English

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

Analysis of PDEs 2024-05-24 v2

Abstract

In this paper, we study the existence of traveling 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 traveling waves solutions.

Keywords

Cite

@article{arxiv.2310.06250,
  title  = {Traveling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion},
  author = {Arnaud Ducrot and Hao Kang},
  journal= {arXiv preprint arXiv:2310.06250},
  year   = {2024}
}