Investigations to the Dynamics of City-Size Distribution Containing Birth and Death Factors

被引：0
作者：
Xia X. [1 ]
Huang W. [1 ]
机构：
[1] School of Mathematics, Southwestern University of Finance and Economics, Chengdu
来源：
Mathematical Problems in Engineering | 2023年 / 2023卷
关键词：
Compendex;
D O I：
10.1155/2023/6910016
中图分类号：
学科分类号：
摘要：
A kinetic model, which involves emigration, immigration, birth, death, and fluctuation terms, is utilized to investigate the evolution of city-size distribution. The Boltzmann-type equation and the corresponding Fokker-Planck equation are obtained to analyze the urban size distribution. Three different population variable functions, containing both birth and death rates, are considered. For each population variable function, the closed form of its stationary solution is derived. It is found that the size of urban population distribution follows a power law. Numerical simulation illustrates the correctness of the results. © 2023 Xue Xia and Wenyi Huang.
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