Dynamics of a predator-prey model with double Allee effects and impulse

作者：Liu, Xiangsen; Dai, Binxiang^*

来源：Nonlinear Dynamics, 2017, 88(1): 685-701.

DOI：10.1007/s11071-016-3270-7

• Allee effect
• Global stability
• Predatorprey model
• Transcritical bifurcations

In this paper, a predator-prey model with double Allee effects and impulse is studied. The existence and stability of the prey-free periodic solution are investigated. The sufficient conditions for global stability of the prey-free periodic solution are obtained. We also find a critical threshold that the predator and prey populations will coexist. The existence of the transcritical bifurcations is considered by means of the bifurcation theory when the prey population is not subject to Allee effect. Combining mathematical analysis and numerical simulations, we show that the double Allee effects and impulse greatly alter the outcome of the survival of both species.

• 出版日期2017-4
• 单位中南大学; 中北大学