具有恐惧效应的离散捕食者-食饵模型的稳定性

Stability of Discrete-Time Predator-Prey Model with Fear Effect

在经典的Leslie-Gower模型中引入常数能力收获和恐惧效应,通过动力系统的稳定性理论得到了捕食者食饵模型在各平衡点的局部渐近稳定的条件,然后利用一个新判据获得了在正平衡点处发生Flip分岔的条件.数值模拟结果表明,适当地增加捕食者的收获可以稳定系统.

The constant capacity harvesting and the fear effect are introduced into the classic Leslie-Gower model.Through the stability theory of the dynamical system,the local asymptotically stability conditions of the predator-prey model at each equilibrium point are obtained,and the condition of Flip bifurcation at the positive equilibrium is obtained by using a new critical criterion.Numerical simulations illustrate that an appropriate increase in harvesting of predators can stabilize the system.