Wave propagation in a nonlocal diffusion epidemic model with nonlocal delayed effects
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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.
论文关键词：Epidemic model,Traveling wave,Nonlocal diffusion,Nonlocal delay
论文评审过程：Received 6 January 2018, Revised 27 April 2018, Accepted 3 July 2018, Available online 30 July 2018, Version of Record 30 July 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.07.007
