摘要
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.
作者
陈娇
常玉
CHEN Jiao ;CHANG Yu(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China)
出处
《北京化工大学学报(自然科学版)》
CAS
CSCD
北大核心
2024年第2期130-135,共6页
Journal of Beijing University of Chemical Technology(Natural Science Edition)
关键词
恐惧效应
局部分支
双稳态
fear effect
local bifurcation
bistability