具有年龄结构人口动力学的资产投资控制模型

A Control Model of Investment with Age-Structured Population Dynamics

本文考虑人口发展系统与生产性资产投资积累发展系统之间的关系 ,通过劳动力函数 ,将人口发展系统引入到生产性资产投资控制系统模型中 ,研究了系统模型解的存在性 ,并给出了解的解析表达式 ,最后说明了在一定条件下 。

In this paper, we consider the relations between the population evolution system and the productive capital investment evolution system in economic growth. By labor function, we obtain a control model of productive capital investment with age structured population dynamics, and prove existence of the solutions to this system, and give the analytic representations of the solutions. Finally, we show that the system possesses non-trivial equilibrium under certain conditions.