Wave propagation in a nonlocal diffusion epidemic model with nonlocal delayed effects

摘要

A nonlocal diffusion epidemic model with nonlocal delayed effects is investigated. The existence and non-existence of the non-trivial and non-negative traveling wave solutions for the model are obtained, respectively. It is found that the threshold dynamics of the model is determined by the basic reproduction number of the corresponding reaction system and minimal wave speed. (C) 2018 Elsevier Inc. All rights reserved.