数学季刊 >

2020 , Vol. 35 >Issue 4: 331 - 343

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.001

非局部时滞传染病模型的行波解

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  • School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
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.

收稿日期: 2020-04-02

  网络出版日期: 2021-01-06

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).

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Traveling Waves for an Epidemic Model with Spatio-Temporal Delays

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  • School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
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.

Received date: 2020-04-02

  Online published: 2021-01-06

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

本文引用格式

赵包, 杨赟瑞, 马竹艳 . 非局部时滞传染病模型的行波解[J]. 数学季刊, 2020 , 35(4) : 331 -343 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.04.001

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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