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

Zaili Zhen, Jingdong Wei, Jiangbo Zhou and Lixin Tian

Applied Mathematics and Computation, 2018, vol. 339, issue C, 15-37

Abstract: 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.

Keywords: Epidemic model; Traveling wave; Nonlocal diffusion; Nonlocal delay (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:15-37

DOI: 10.1016/j.amc.2018.07.007

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