恐惧效应对种群分支动态的影响研究

Analysis of the influence of the fear effect on bifurcation in population models

研究了种群模型中恐惧效应对分支动态的影响,从理论上严格证明了恐惧效应能够激发系统产生多种局部分支。通过进一步的数值计算发现,由恐惧效应产生的局部分支可导致种群出现双稳态共存、周期性振荡以及种群灭绝等复杂的动态,从而揭示了恐惧效应是保持种群系统稳定性的重要因素。

A population model is investigated using bifurcation analysis with a bifurcation parameter fear factor incorporated in prey.Theoretical analysis confirmed that the fear effect can cause various types of local bifurcation.Numerical simulations demonstrate the complex nature of the dynamics,including the coexistence of bistability,periodic oscillations and the extinction of the population.The results demonstrate that the fear effect plays an important role in the stability of population systems.