摘要
本文研究了捕食者种群具有线性捕获及猎物种群具有强Allee效应的Leslie-Gower捕食-食饵系统的动力学问题.结果表明,对于不同的参数值,系统随着分岔参数的变化,表现出鞍结点分岔、Hopf分岔和余维2的Bogdanov-Takens分岔.与Leslie-Gower系统相比,本文结果揭示了更为复杂的动力学,展示了猎物具有Allee效应和捕食者具有捕获时如何影响系统的动力学,并进行最优捕获策略的理论分析.此外,通过数值模拟对理论结果进行了验证.
The dynamics of a Leslie-Gower predator-prey system with linear harvesting in the predator population and a strong Allee effect in the prey population is investigated.The results demonstrate that,for varying parameter values,the system exhibits saddle-node bifurcations,Hopf bifurcations,and codimension-2 Bogdanov-Takens bifurcations as the bifurcation parameter changes.Compared to the classic Leslie-Gower system,the findings reveal more complex dynamics,showcasing how the inclusion of an Allee effect in the prey and harvesting in the predator populations influences system behavior.Theoretical analysis on optimal harvesting strategies is also conducted.Furthermore,numerical simulations are employed to verify the theoretical results.
作者
王秀叶
李自尊
姚庆娟
WANG Xiuye;LI Zizun;YAO Qingjuan(School of Mathematics and Statistics,Nanning Normal University,Nanning,Guangxi 530100,China)
出处
《内江师范学院学报》
2025年第12期15-25,共11页
Journal of Neijiang Normal University
基金
国家自然科学基金项目(12161060)
广西自然科学基金项目(2023GXNSFAA026204)。
