数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 331-343.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.001

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非局部时滞传染病模型的行波解

  

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • 收稿日期:2020-04-02 出版日期:2020-12-30 发布日期:2021-01-06
  • 作者简介: ZHAO Bao (1990-), male, native of Qingyang, Gansu, master student of Lanzhou Jiaotong University, engages in differential equations and dynamic systems; YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, master supervisor, Ph.D, engages in differential equations and dynamic systems, (partial) functional differential equations; MA Zhu-yan (1993-), female, native of Yulin, Shanxi, master student of Lanzhou Jiaotong University, engages in differential equations and dynamic systems.
  • 基金资助:
    Supported by the National Natural Science Foundation of China (Grant No. 11761046);
    Science and Technology Plan Foundation of Gansu Province of China (Grant No. 20JR5RA411).

Traveling Waves for an Epidemic Model with Spatio-Temporal Delays

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2020-04-02 Online:2020-12-30 Published:2021-01-06
  • Contact: YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, master supervisor, Ph.D, engages in differential equations and dynamic systems, (partial) functional differential equations
  • About author: ZHAO Bao (1990-), male, native of Qingyang, Gansu, master student of Lanzhou Jiaotong University, engages in differential equations and dynamic systems; YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, master supervisor, Ph.D, engages in differential equations and dynamic systems, (partial) functional differential equations; MA Zhu-yan (1993-), female, native of Yulin, Shanxi, master student of Lanzhou Jiaotong University, engages in differential equations and dynamic systems.
  • Supported by:
    Supported by the National Natural Science Foundation of China (Grant No. 11761046);
    Science and Technology Plan Foundation of Gansu Province of China (Grant No. 20JR5RA411).

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摘要：  This paper is concerned with traveling waves for an epidemic model with spatio-temporal delays. It is shown that the traveling wave solutions are still persistently existing in the model when the non-locality is caused by small average time delays via the geometric singular perturbation theory and the center manifold theorems.

关键词:  Traveling wave solutions, Spatio-temporal delays, Center manifold theorems

Abstract:  This paper is concerned with traveling waves for an epidemic model with spatio-temporal delays. It is shown that the traveling wave solutions are still persistently existing in the model when the non-locality is caused by small average time delays via the geometric singular perturbation theory and the center manifold theorems.

Key words:  Traveling wave solutions, Spatio-temporal delays, Center manifold theorems

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