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## 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??? |
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頁（從 - 到） | 1469-1495 |

頁數 | 27 |

期刊 | Discrete and Continuous Dynamical Systems - Series B |

卷 | 25 |

發行號 | 4 |

DOIs | |

出版狀態 | 已出版 - 2020 |

## 指紋

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