一类共位群内捕食模型的复杂动力学性态  

Complex Dynamics of an Intraguild Predation Model

作　　者：杨晓敏[1] 邱志鹏[1] 丁玲[1] Yang Xiaomin;Qiu Zhipeng;Ding Ling(School of Science, Nanjing University of Science and Technology, Nanjing 210094)

机构地区：[1]南京理工大学理学院

出　　处：《数学物理学报（A辑）》2019年第4期963-970,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11671206)~~

摘　　要：该文主要研究了一类共位群内捕食模型(Intraguild predation,简称IGP)的复杂动力学性态.首先分析了IGP模型边界平衡点的存在性及其局部稳定性,然后给出系统的数值仿真.仿真结果表明,在一定参数条件下,系统无正平衡点,但在R+^3内部存在一个吸引的不变环面.进一步利用Poincaré映射以及Fourier变换频谱分析研究了系统在不变环面上的动力学性态.结果表明系统在不变环面上的动力学性态是概周期的.The complex dynamics of an intraguild predation(IGP)model is investigated in this paper,and the model incorporates the Holling-Ⅱ functional response functions.The sufficient conditions are obtained for the existence and local stability of boundary equilibria.Then,the numerical simulations are applied to the model under the given values of parameters.The numerical results show that the system may have an attracting invariant torus but no positive equilibrium.Furthermore,the Poincare map and Fourier transform spectrum analysis are performed to study the complex dynamics of the system on the invariant torus.The results suggest that the dynamics on the invariant torus is almost periodic.

关 键 词：IGP模型 不变环面 数值仿真 POINCARÉ映射 Fourier变换频谱分析 

分 类 号：O175.1[理学—数学]