【摘要】 在离散Ｓｏｌｏｗ模型中假设劳动力增长率为一个单调下降，极限为零的过程，得出资本－劳动比收敛到劳动增长率为零离散Ｓｏｌｏｗ模型的稳态解［１］．给出了具有相同初值，不同劳动力增长率下解的比较定理和相同劳动力增长率，但不同初始资本－劳动比的解的比较定理。证明具有人口控制的经济最终的人均消费和人均资本高于不进行人口控制的经济，从理论上阐明控制人口增长对经济增长的促进作用。更多还原

【Abstract】 A discrete Solow model with population control is given. We assume that the labor force growth rate is strictly descreasing from a positive value to zero. We prove that the per capita capital converges to the steady state of the classical discrete Solow model with the zero labor force growth rate. For given initial per capita capital value, a comparision theorem with different labor force growth rate is obtained and a comparision theorem with different initial per capita capital value is given. We theoretical confirm that the population control is very favourable for economic growth.更多还原