JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (10): 122-126.doi: 10.6040/j.issn.1671-9352.0.2023.131

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Stability of a single population delayed reaction-diffusion model with Dirichlet boundary condition

Yonghua LI(),Cunhua ZHANG   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Received:2023-04-04 Online:2023-10-20 Published:2023-10-17

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Abstract:

This paper studies the dynamics of a single population delayed reaction-diffusion model with Dirichlet boundary condition in a bounded domain. The existence and multiplicity of spatially nonhomogeneous steady-state solution is investigated by employing Lyapunov-Schmidt reduction method. Then, the stability of spatially nonhomogeneous steady-state solution is derived by analyzing the distribution of the eigenvalues.

Key words: delayed reaction-diffusion model, Lyapunov-Schmidt reduction, stability

CLC Number: 

  • O175.26
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