Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 339, Issue -, Pages 15-37Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.07.007
Keywords
Epidemic model; Traveling wave; Nonlocal diffusion; Nonlocal delay
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Funding
- National Natural Science Foundation of China [71690242, 91546118, 11731014]
- Innovation Project for Graduate Student Research of Jiangsu Province [KYLX16_0899]
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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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