The Solow-Swan model with endogenous population growth

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-01-01 DOI:10.3934/jdg.2020014

G. Cayssials, S. Picasso

引用次数: 5

Abstract

This paper presents a reformulation of the classical Solow-Swan growth model where a dynamic of the endogenous population is incorporated. In our model, the population growth rate continually depends on per capita consumption. We find that – as in the classic Solow-Swan model – there is a steady state for the capital-labour ratio, which is always lower than that deduced from the original model with zero population growth rate, but it is not necessarily unique. Under certain conditions, there is an odd amount, and only the smallest and the largest are locally stable. Finally, a study of comparative static of stationary states is performed by varying the total factor productivity, and the results are compared with those of the original model. It is found that the effects of exogenous variables on endogenous variables differ from the original model.

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人口内生增长的索洛-斯旺模型

本文提出了经典的索洛-斯旺增长模型的一个重新表述，其中纳入了内生种群的动态。在我们的模型中，人口增长率持续依赖于人均消费。我们发现，正如在经典的索洛-斯旺模型中一样，资本劳动比率存在一个稳定的状态，它总是低于从人口增长率为零的原始模型中推断出来的状态，但它不一定是唯一的。在一定条件下，有一个奇数的量，只有最小的和最大的是局部稳定的。最后，通过全要素生产率的变化，对稳态的比较静态进行了研究，并与原模型的结果进行了比较。研究发现，外生变量对内生变量的影响与原模型有所不同。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.