The Hopf bifurcation of a two-dimensional predator-prey symbiotic model with time delay is studied using the canonical form theory and the central manifold theorem.By analyzing the characteristic equation,the stability of equilibrium point,the existence of Hopf bifurcation,the stability of bifurcation direction and bifurcation periodic solution are given,and the correctness of the conclusions is verified by numerical simulation.
关键词
Hopf分支/时滞/捕食-食饵共生模型
Key words
Hopf bifurcation/time delay/predator-prey-mutual system
维普
万方数据