数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (3): 875-886.doi: 10.1007/s10473-021-0314-y

• 论文 • 上一篇    下一篇

SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

田歌1, 王浩雨2, 王智诚1   

  1. 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;
    2. School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2020-01-03 修回日期:2020-08-12 出版日期:2021-06-25 发布日期:2021-06-07
  • 通讯作者: Zhicheng WANG E-mail:wangzhch@lzu.edu.cn
  • 作者简介:Ge TIAN,E-mail:tiang17@lzu.edu.cn;Haoyu WANG,E-mail:2911828309@qq.com
  • 基金资助:
    Supported by National Natural Science Foundation of China (12071193,11731005).

SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

Ge TIAN1, Haoyu WANG2, Zhicheng WANG1   

  1. 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;
    2. School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
  • Received:2020-01-03 Revised:2020-08-12 Online:2021-06-25 Published:2021-06-07
  • Contact: Zhicheng WANG E-mail:wangzhch@lzu.edu.cn
  • About author:Ge TIAN,E-mail:tiang17@lzu.edu.cn;Haoyu WANG,E-mail:2911828309@qq.com
  • Supported by:
    Supported by National Natural Science Foundation of China (12071193,11731005).

摘要: This paper is concerned with the Fisher-KPP equation with diffusion and nonlocal delay. Firstly, we establish the global existence and uniform boundedness of solutions to the Cauchy problem. Then, we establish the spreading speed for the solutions with compactly supported initial data. Finally, we investigate the long time behavior of solutions by numerical simulations.

关键词: Spreading speed, Fisher-KPP equation, diffusion, nonlocal delays

Abstract: This paper is concerned with the Fisher-KPP equation with diffusion and nonlocal delay. Firstly, we establish the global existence and uniform boundedness of solutions to the Cauchy problem. Then, we establish the spreading speed for the solutions with compactly supported initial data. Finally, we investigate the long time behavior of solutions by numerical simulations.

Key words: Spreading speed, Fisher-KPP equation, diffusion, nonlocal delays

中图分类号: 

  • 35K57