一类食物链模型Hopf分支的存在性

Hopf Bifurcation Existence on Aood Chain Model

考虑了一类三维Gause型食物链模型,通过对模型线性部分对应特征方程特征根的分布情况的讨论给出了共存平衡解的稳定性和Hopf分支的存在性,并给出了一组数值模拟数据来说明分支周期解的方向,周期及其稳定性。

A class of 3-dimensional Gause food chain model is considered. The stability of the equilibrium points and the existence of Hopf bifurcation are obtained via employing the polynomial theorem to analyze the distribu- of the roots of the associated characteristic equation with the linear part of the model. A numerical simulation is carried out to illustrate the results.