Traveling waves for a nonlocal dispersal vaccination model with general incidence

Jinling Zhou, Yu Yang, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)1469-1495
頁數27
期刊Discrete and Continuous Dynamical Systems - Series B
25
發行號4
DOIs
出版狀態已出版 - 2020

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