SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

doi:10.1007/s10473-021-0314-y

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

SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

田歌¹, 王浩雨², 王智诚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. 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/Abstract

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

田歌, 王浩雨, 王智诚. SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY[J]. 数学物理学报(英文版), 2021, 41(3): 875-886.

Ge TIAN, Haoyu WANG, Zhicheng WANG. SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY[J]. Acta mathematica scientia,Series B, 2021, 41(3): 875-886.

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SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

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