Spatial Dynamics for a Generalized Solow Growth Model

The existence of nontrivial equilibrium and poverty traps for a generalized Solow growth model with concave and nonconcave production functions is investigated. The explicit solutions of the growth model, which is expressed by a differential equation with corresponding boundary conditions, are emplo...

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Main Authors: Yue Zhong, Wenyi Huang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/6945032
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author Yue Zhong
Wenyi Huang
author_facet Yue Zhong
Wenyi Huang
author_sort Yue Zhong
collection DOAJ
description The existence of nontrivial equilibrium and poverty traps for a generalized Solow growth model with concave and nonconcave production functions is investigated. The explicit solutions of the growth model, which is expressed by a differential equation with corresponding boundary conditions, are employed to illustrate the spatial dynamics of the model in different economic regions. Numerical method is used to justify the validity of the theoretical analysis.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2018-01-01
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record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-29c8b00b1fa94cf4b0f449053992aa3c2025-02-03T06:13:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/69450326945032Spatial Dynamics for a Generalized Solow Growth ModelYue Zhong0Wenyi Huang1The School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, ChinaThe School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, ChinaThe existence of nontrivial equilibrium and poverty traps for a generalized Solow growth model with concave and nonconcave production functions is investigated. The explicit solutions of the growth model, which is expressed by a differential equation with corresponding boundary conditions, are employed to illustrate the spatial dynamics of the model in different economic regions. Numerical method is used to justify the validity of the theoretical analysis.http://dx.doi.org/10.1155/2018/6945032
spellingShingle Yue Zhong
Wenyi Huang
Spatial Dynamics for a Generalized Solow Growth Model
Discrete Dynamics in Nature and Society
title Spatial Dynamics for a Generalized Solow Growth Model
title_full Spatial Dynamics for a Generalized Solow Growth Model
title_fullStr Spatial Dynamics for a Generalized Solow Growth Model
title_full_unstemmed Spatial Dynamics for a Generalized Solow Growth Model
title_short Spatial Dynamics for a Generalized Solow Growth Model
title_sort spatial dynamics for a generalized solow growth model
url http://dx.doi.org/10.1155/2018/6945032
work_keys_str_mv AT yuezhong spatialdynamicsforageneralizedsolowgrowthmodel
AT wenyihuang spatialdynamicsforageneralizedsolowgrowthmodel