4.7 Article

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

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 339, 期 -, 页码 15-37

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.07.007

关键词

Epidemic model; Traveling wave; Nonlocal diffusion; Nonlocal delay

资金

  1. National Natural Science Foundation of China [71690242, 91546118, 11731014]
  2. Innovation Project for Graduate Student Research of Jiangsu Province [KYLX16_0899]

向作者/读者索取更多资源

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.

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