Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (5): 1809-1816.doi: 10.1007/s10473-022-0506-0

• Articles • Previous Articles    

BLOW-UP IN A FRACTIONAL LAPLACIAN MUTUALISTIC MODEL WITH NEUMANN BOUNDARY CONDITIONS

Chao Jiang, Zuhan Liu, Ling Zhou   

  1. School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China
  • Received:2021-03-24 Revised:2022-05-30 Published:2022-11-02
  • Contact: Ling Zhou,E-mail:zhoul@yzu.edu.cn E-mail:zhoul@yzu.edu.cn
  • Supported by:
    The work was partially supported by National Natural Science Foundation of China (11771380) and Natural Science Foundation of Jiangsu Province (BK20191436).

Abstract: In this paper, a fractional Laplacian mutualistic system under Neumann boundary conditions is studied. Using the method of upper and lower solutions, it is proven that the solutions of the fractional Laplacian strong mutualistic model with Neumann boundary conditions will blow up when the intrinsic growth rates of species are large.

Key words: mutualistic system, fractional Laplacian, Neumann boundary, upper and lower solutions, blow-up

CLC Number: 

  • 35B05
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