Traveling waves for a nonlocal dispersal SIR model equipped delay and generalized incidence

作者：Yang Yang, Yunrui Yang, Xin-Jun Jiao · 发表于：Electronic Research Archive · 年份：2020 · DOI：10.3934/era.2020001 · 被引用次数：13 · 研究领域：Mathematical and Theoretical Epidemiology and Ecology Models、Advanced Mathematical Physics Problems、Fractional Differential Equations Solutions

In this paper, the existence and non-existence of traveling wave solutions are established for a nonlocal dispersal SIR model equipped delay and generalized incidence. In addition, the existence and asymptotic behaviors of traveling waves under critical wave speed are also contained. Especially, the boundedness of traveling waves is obtained completely without imposing additional conditions on the nonlinear incidence.