改进的逻辑斯蒂模型与我国人口增长规律的实证
he improvement for Logistic model and verification for China’s populations
本作品将经典的逻辑斯蒂人口增长模型改进为具有幂律型增长因子的更一般形式，使其能够更加适用于现实中复杂的人口增长问题，并选用相应适用的幂律指数数值进行了对我国大陆, 部分省区、直辖市及县区的人口分布规律的实证。本文研究结果表明，由改进的具有幂律指数型的逻辑斯蒂人口增长模型所描述的人口增长规律和实际普查人口分规律布非常接近，可以用来比较准确的描述某段时间内的人口增长规律以及预测未来一段时间内的人口增长趋势.
he classical logistic equation is generalized to a new model with power exponent to the rate of growth of the population. The verification are made for China’s populations, some Provinces and Country populations with good agree, the results indicated that the population is affected strongly by the power exponent and the associated characteristics of growth of the population are discussed.
郑瑶
数学
逻辑斯蒂方程，人口增长，微分方程，幂律指数
logistic equation growth of the population differential equation power exponent.
郑瑶.改进的逻辑斯蒂模型与我国人口增长规律的实证[EB/OL].(2006-04-05)[2025-06-21].http://www.paper.edu.cn/releasepaper/content/200604-39.点此复制
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