Articles

SPREADING SPEED IN THE FISHER-KPP EQUATION WITH NONLOCAL DELAY

  • Ge TIAN ,
  • Haoyu WANG ,
  • Zhicheng WANG
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  • 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;
    2. School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
Ge TIAN,E-mail:tiang17@lzu.edu.cn;Haoyu WANG,E-mail:2911828309@qq.com

Received date: 2020-01-03

  Revised date: 2020-08-12

  Online published: 2021-06-07

Supported by

Supported by National Natural Science Foundation of China (12071193,11731005).

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.

Cite this article

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 . DOI: 10.1007/s10473-021-0314-y

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