一类离散种群模型的动力学性质

Dynamic Properties of a Class of Discrete Population Model

本文研究了一类离散种群模型的动力学行为,通过讨论系数参数确定不动点类型及双曲性质。利用中心流形定理与分岔理论得到两个不动点产生跨临界分岔和flip分岔的条件。

In this paper,the dynamic behavior of a class of discrete population models is studied.Fixed point types and hyperbolic properties are determined by discussing coefficient parameters.By using central manifold theorem and bifurcation theory,we obtain the conditions of transcritical bifurca-tion and flip bifurcation at two fixed points.