Hybrid control of bifurcation in a predator-prey system with three delays

作者：Zhang Li Ping^*; Wang Hui Nan; Xu Min

来源：Acta Physica Sinica, 2011, 60(1): 010506.

• delay
• predator-prey system
• Hopf bifurcation
• hybrid control

The problem of Hopf bifurcation control for a predator - prey system with three delays is considered. A new hybrid strategy is proposed to control the Hopf bifurcation, in which the state feedback and parameter perturbation are used to delay the onset of an inherent bifurcation or make the bifurcation disappear. The stability and the existence of bifurcation are researched. In particular, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions are derived by using the normal form theory and center manifold theorem. Finally, numerical simulation results confirm that the new hybrid controller is efficient in controlling Hopf bifurcation.

• 出版日期2011-1
• 单位南京航空航天大学