单种群离散模型的全局稳定性

Global Stability of Discrete Population Models

本文证明了■全局稳定的充要条件是方程无二点环.可以证明本文的结论与“C—R 定理是等价的.利用本文的结果不仅可以简化“C—R 定理”的证明,而且为推广到多个极值点的情形提供了方便的工具.

In this paper,we have improved that the equil brium point is global stabilityif and only if the difference equation has not the period-two points.This resultis equivalent to “C—R Thorem”.