A Generalized Solow-Swan Model

We set up a generalized Solow-Swan model to study the exogenous impact of population, saving rate, technological change, and labor participation rate on economic growth. By introducing generalized exogenous variables into the classical Solow-Swan model, we obtain a nonautomatic differential equation...

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Main Authors: Donghan Cai, Hui Ye, Longfei Gu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/395089
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author Donghan Cai
Hui Ye
Longfei Gu
author_facet Donghan Cai
Hui Ye
Longfei Gu
author_sort Donghan Cai
collection DOAJ
description We set up a generalized Solow-Swan model to study the exogenous impact of population, saving rate, technological change, and labor participation rate on economic growth. By introducing generalized exogenous variables into the classical Solow-Swan model, we obtain a nonautomatic differential equation. It is proved that the solution of the differential equation is asymptotically stable if the generalized exogenous variables converge and does not converge when one of the generalized exogenous variables persistently oscillates.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-4ae5b0ce482d485ca855d0247ae65c562025-02-03T05:44:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/395089395089A Generalized Solow-Swan ModelDonghan Cai0Hui Ye1Longfei Gu2College of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaCollege of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaCollege of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaWe set up a generalized Solow-Swan model to study the exogenous impact of population, saving rate, technological change, and labor participation rate on economic growth. By introducing generalized exogenous variables into the classical Solow-Swan model, we obtain a nonautomatic differential equation. It is proved that the solution of the differential equation is asymptotically stable if the generalized exogenous variables converge and does not converge when one of the generalized exogenous variables persistently oscillates.http://dx.doi.org/10.1155/2014/395089
spellingShingle Donghan Cai
Hui Ye
Longfei Gu
A Generalized Solow-Swan Model
Abstract and Applied Analysis
title A Generalized Solow-Swan Model
title_full A Generalized Solow-Swan Model
title_fullStr A Generalized Solow-Swan Model
title_full_unstemmed A Generalized Solow-Swan Model
title_short A Generalized Solow-Swan Model
title_sort generalized solow swan model
url http://dx.doi.org/10.1155/2014/395089
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AT huiye ageneralizedsolowswanmodel
AT longfeigu ageneralizedsolowswanmodel
AT donghancai generalizedsolowswanmodel
AT huiye generalizedsolowswanmodel
AT longfeigu generalizedsolowswanmodel