This paper is concerned with the existence and asymptotic behavior of traveling wave solutions for a nonlocal dispersal vaccination model with general incidence. We first apply the Schauder’s fixed point theorem to prove the existence of traveling wave solutions when the wave speed is greater than a critical speed c∗. Then we investigate the boundary asymptotic behaviour of traveling wave solutions at +∞ by using an appropriate Lyapunov function. Applying the method of two-sided Laplace transform, we further prove the non-existence of traveling wave solutions when the wave speed is smaller than c∗. From our work, one can see that the diffusion rate and nonlocal dispersal distance of the infected individuals can increase the critical speed c∗, while vaccination reduces the critical speed c∗. In addition, two specific examples are provided to verify the validity of our theoretical results, which cover and improve some known results.
|頁（從 - 到）||1469-1495|
|期刊||Discrete and Continuous Dynamical Systems - Series B|
|出版狀態||已出版 - 2020|
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