开环人口控制系统的稳定性及其渐近性态

On the Stability and Asymptotic Behaviour for Open Population Control System

讨论了开环人口控制系统的稳定性，找到了控制函数（ｔ）的临界值函数（ｔ）并且证明了当（ｔ）＝ （ｔ）时，人口系统年龄密度分布将趋于平稳状态。本文结果为人口系统的控制提供了数学理论基础。

t is discussed that the stability for open population control system,give the critical value function(t) of the control funnction and prove that the age density function p(r,t) tends to a stable state. These results may provide a strict mathematics basis for population control