差分方程 的全局吸引性

Global Attractiveness of the Difference Equation

摘要:

研究差分方程 正解的稳定性,其中, , , 且是整数,初始条件 为任意正数。阐述并证明该方程的惟一正平衡点是全局吸引子且吸引域取决于方程的系数。

Abstract:

In this paper, the global stability of all positive solutions of the difference equation was studied, where is an integer, and the initial conditions are arbitrary positive real numbers. It was showed that the unique positive equilibrium of the equation was a global attractor with a basin that depended on certain conditions of the coefficient.