JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (1): 42-49.doi: 10.6040/j.issn.1671-9352.0.2021.344

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Multiple stability switches and Hopf bifurcation in a time-delay predator-prey system

SHEN Wei*, ZHANG Cun-hua   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2021-12-21

Abstract: A time-delay predator-prey model with Holling type Ⅲ functional response is consider. The stability and Hopf bifurcation of the positive equilibrium point of the model are studied by analyzing the distribution of the roots of the corresponding characteristic equation on the complex plane. Finally, the corresponding theoretical results are verified by MATLAB software package.

Key words: predator-prey system, stability switch, delay, Hopf bifurcation

CLC Number: 

  • O175.26
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