人口总量及其空间分布特征与经济发展关系的动力学研究

A study on the dynamic relationship between the economy & gross population and its spatial distribution features

建立了人口—经济系统的微分方程组模型,并在方程中引入人口空间分布与经济发展协调的因子η,通过分析模型的稳定性特征得出以下结论:人口经济系统是复杂的非线性关系;人口的过于快速增长会使经济总量趋向于零;如果η>1并且较高,则人口经济系统发展稳定时,经济总量会高些,也即人口数量稳定在同样水平时,会因为空间分布的不同而有不同的经济产出。说明在控制人口数量的同时必须重视人口空间分布的问题。

The model of differential equations of population and economic growth is established and the factor revealing the harmonious relationship between population spatial distribution and economy is introduced.It is found through the analysis of the model's stability that the relationship between population and economic system is complicated and nonlinear.Uncontrolled population development will lead gross economic output to zero.If >1,the gross economic output will increase when population-economy system develops steadily.In other words,if population quantity is stable,different spatial distribution will cause different economic outputs.It suggests that importance should be attached to the population spatial distribution while controlling gross population.