| A Solow-Swan Model with Technological Overflow and Catch-up |
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| 引用本文： | ZHOU Mingchun CAI Donghan CHEN Hua. A Solow-Swan Model with Technological Overflow and Catch-up[J]. 武汉大学学报:自然科学英文版, 2007, 12(6): 975-978. DOI: 10.1007/s11859-007-0051-7 |
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| 作者姓名： | ZHOU Mingchun CAI Donghan CHEN Hua |
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| 作者单位： | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （79970104） |
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| 摘 要： | By introducing the logistic-like technology, the classical Solow-Swan model is extended to inquire the technological overflow and catch-up of the developing economy in this paper. The improved model is described by a two-dimensional dynamical system. It is proved that the model has a unique equilibrium which is a sink and the solution of the equation is globally asymptotically stable. And the classical Solow-Swan model is a special case of the model given here. The economic growth patterns are discussed by phase portrait analysis at the end of this paper.
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| 关 键 词： | 溢流 数学模拟 应用数学 数学分析 |
| 文章编号： | 1007-1202（2007）06-0975-04 |
| 修稿时间： | 2007-03-20 |
A Solow-Swan model with technological overflow and catch-up |
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| Zhou Mingchun,Cai Donghan,Chen Hua. A Solow-Swan model with technological overflow and catch-up[J]. Wuhan University Journal of Natural Sciences, 2007, 12(6): 975-978. DOI: 10.1007/s11859-007-0051-7 |
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| Authors: | Zhou Mingchun Cai Donghan Chen Hua |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China |
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| Abstract: | By introducing the logistic-like technology, the classical Solow-Swan model is extended to inquire the technological overflow and catch-up of the developing economy in this paper. The improved model is described by a two-dimensional dynamical system. It is proved that the model has a unique equilibrium which is a sink and the solution of the equation is globally asymptotically stable. And the classical Solow-Swan model is a special case of the model given here. The economic growth patterns are discussed by phase portrait analysis at the end of this paper. |
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| Keywords: | Solow-Swan model take-off catch-up logistic-like technology |
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