离散人口系统渐近性与可控性的正矩阵方法

Positive Matrix Approach to the Asymptotic Expansion and Controllability of a Discrete Population Dynamics

本文将离散人口系统化为一个等价的简单的控制差分模型 .运用正矩阵理论得到人口系统渐近展开与可控性 .极大的简化了已知的结论 .

In this paper, a controlled age\|structured population dynamic model is transformed into a equivalent controlled difference model. Using positive matrix theory, a asymptotic expansion of the system is obtained. The stability and the exact controllability are hence concluded. The known results on this respect are greatly simplified.