Stability and Hopf Bifurcation of a Predator-Prey Model with Dual Time-Delay

doi:10.13438/j.cnki.jdzk.2024.02.002

Abstract

Abstract: A dual time-delay predator-prey model with B-D functional response and different refuge behaviors is established,and the stability and Hopf bifurcation of the positive equilibrium of the model with different time-delays are analyzed.The research shows that when the time-delay is equal to the corresponding critical value,Hopf bifurcation occurs at the positive equilibrium of the model,and the stability of the positive equilibrium changes.

Key words: time-delay, predator-prey model, stability, Hopf bifurcation

ZHANG Meiyang, XIE Jingli, GUO Hongli. Stability and Hopf Bifurcation of a Predator-Prey Model with Dual Time-Delay[J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(2): 9-17.

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