Dynamic analysis of a Solow–Swan model with capital-induced labor migration

IF 4.4 2区 数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Chunru Li , Xuesong Yuan , Yu Gong
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引用次数: 0

Abstract

The Solow–Swan model, introduced in 1956, is a fundamental framework in macroeconomic theory that models long-term economic growth through capital accumulation and labor force dynamics. This research builds on the original Solow–Swan model by incorporating capital-induced labor migration, which is a significant extension considering modern economic contexts where migration plays a crucial role in regional and national economic dynamics. First, we analyze the existence of the solution of the model. Then, we explore the local asymptotic stability and Turing bifurcation of the positive equilibrium. We then study the nonconstant steady state solution of the model as a branch of solution bifurcation from stationary system. And then we investigate the stability of the nonconstant steady state solution. Finally, we present some numerical simulations to verify our theoretical predictions.
考虑资本诱导劳动力迁移的索洛-斯旺模型的动态分析
1956年提出的索洛-斯旺模型是宏观经济理论中的一个基本框架,它通过资本积累和劳动力动态来模拟长期经济增长。本研究在原有索洛-斯旺模型的基础上,纳入了资本引发的劳动力迁移,这是考虑到移民在区域和国家经济动态中发挥关键作用的现代经济背景下的重要延伸。首先,我们分析了模型解的存在性。然后,我们研究了正平衡点的局部渐近稳定性和图灵分岔。然后将模型的非常稳态解作为稳态系统解分岔的一个分支来研究。然后研究了非常稳态解的稳定性。最后,我们给出一些数值模拟来验证我们的理论预测。
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来源期刊
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation 数学-计算机:跨学科应用
CiteScore
8.90
自引率
4.30%
发文量
335
审稿时长
54 days
期刊介绍: The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.
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