JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (8): 116-124.doi: 10.6040/j.issn.1671-9352.0.2023.186

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Hopf bifurcation of Brusselator model with cross-diffusion and delay

YANG Xiunan, XING Hui*   

  1. School of Science, Xian Polytechnic University, Xian 710048, Shaanxi, China
  • Published:2025-07-25

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Abstract: In this paper, the Brusselator model with cross-diffusion and delay are studied. Firstly, by analyzing the distribution of the roots of the characterstic equation of the system using linearization method, the local asymptotic stability of the system and the existence of Hopf bifurcation at the unique positive equilibrium point are obtained. Then the effect of time delay parameters on the existence of Hopf bifurcation is analyzed. Finally, numerical simulation is carried out to support the theoretical results using MATLAB.

Key words: Brusselator model, cross-diffusion, delay, Hopf bifurcation

CLC Number: 

  • O175
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