Long-run economic growth in the delay spatial Solow model

IF 1.5 3区经济学 Q2 ECONOMICS

Spatial Economic Analysis Pub Date : 2022-09-01 DOI:10.1080/17421772.2022.2104917

J. Segura, D. Franco, J. Perán

引用次数: 2

Abstract

ABSTRACT This paper analyses the long-term dynamics of the Solow model with spatial dependence of the physical capital, time delay and pollution effect due to capital accumulation. Previous studies not including spatial dependence showed that the dynamics can be cyclic or chaotic, in which cases the description of the long-run system’s behaviour becomes difficult or unfeasible. We provide sufficient conditions for the existence of a delay-independent global attractor and an easy way to estimate it. We also introduce new and extend known results for the existence of a global attractor in the absence of spatial dependence. Additionally, we complement known global stability results for a family of difference equations with applications in different fields.

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时滞空间Solow模型中的长期经济增长

本文分析了索洛模型的长期动态，考虑了物质资本的空间依赖性、时间延迟和资本积累造成的污染效应。先前不包括空间依赖性的研究表明，动力学可以是循环的或混沌的，在这种情况下，对长期系统行为的描述变得困难或不可行的。给出了时滞无关的全局吸引子存在的充分条件，并给出了估计全局吸引子的简便方法。我们还引入了新的和扩展已知的结果，在没有空间依赖的情况下存在全局吸引子。此外，我们补充了已知的一组差分方程的全局稳定性结果，并将其应用于不同的领域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Spatial Economic Analysis ECONOMICS-

CiteScore

5.40

自引率

21.70%

发文量

期刊介绍： Spatial Economic Analysis is a pioneering economics journal dedicated to the development of theory and methods in spatial economics, published by two of the world"s leading learned societies in the analysis of spatial economics, the Regional Studies Association and the British and Irish Section of the Regional Science Association International. A spatial perspective has become increasingly relevant to our understanding of economic phenomena, both on the global scale and at the scale of cities and regions. The growth in international trade, the opening up of emerging markets, the restructuring of the world economy along regional lines, and overall strategic and political significance of globalization, have re-emphasised the importance of geographical analysis.