Hopf bifurcation of a two-dimensional predator-prey symbiosis model with time delay
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.
Hopf bifurcationtime delaypredator-prey-mutual system
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