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

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。

We establish a differential equation system model for the population-economy system, and introduce a factor η that characterizes the coordination between population spatial distribution and economic development into the equations. By analyzing the stability characteristics of the model, the following conclusions are derived: The population-economy system exhibits complex nonlinear relationships; excessively rapid population growth will cause the total economic output to tend to zero; if η > 1 and is relatively large, the total economic output will be higher when the population-economy system develops stably. In other words, when the population size stabilizes at the same level, different spatial distributions of the population will lead to varying levels of economic output. This indicates that while controlling population size, attention must also be paid to the issue of population spatial distribution.