JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (9): 83-90.doi: 10.6040/j.issn.1671-9352.0.2021.500

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Stability and Turing instability in the diffusive Beddington-DeAngelis-Tanner predator-prey model

SUN Chun-jie, ZHANG Cun-hua*   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2022-09-15

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Abstract: The diffusive Beddington-DeAngelis-Tanner predator-prey model with Neumann boundary condition is considered. By using the linearization method and analyzing the distribution of the eigenvalues of the associated eigenvalue problem on the complex plane, the local asymptotic stability and Turing instability of the unique constant positive equilibrium solution are obtained. The numerical simulation using MATLAB software package is carried out to verify the theoretical results obtained.

Key words: diffusive predator-prey model, local asymptotic stability, Turing instability

CLC Number: 

  • O175.26
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