Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (3): 875-886.doi: 10.1007/s10473-021-0314-y

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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).

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

CLC Number: 

  • 35K57
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