一类具有双时滞的捕食模型的稳定性和Hopf分支

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

建立了一类具有B-D型功能反应和不同避难行为的双时滞捕食模型,并以时滞作为参数,分析了模型在不同时滞情况下正平衡点的稳定性和Hopf分支.研究结果表明,当时滞等于相应的临界值时,模型在正平衡点处发生Hopf分支,且正平衡点的稳定性发生改变.

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.