Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth

This paper is devoted to the existence and stability analysis of limit cycles in a delayed mathematical model for the economy growth. Specifically the Solow model is further improved by inserting the time delay into the logistic population growth rate. Moreover, by choosing the time delay as a bifur...

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Detalles Bibliográficos
Autores principales: Bianca, Carlo, Guerrini, Luca
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3925589/
https://www.ncbi.nlm.nih.gov/pubmed/24592147
http://dx.doi.org/10.1155/2014/207806
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author Bianca, Carlo
Guerrini, Luca
author_facet Bianca, Carlo
Guerrini, Luca
author_sort Bianca, Carlo
collection PubMed
description This paper is devoted to the existence and stability analysis of limit cycles in a delayed mathematical model for the economy growth. Specifically the Solow model is further improved by inserting the time delay into the logistic population growth rate. Moreover, by choosing the time delay as a bifurcation parameter, we prove that the system loses its stability and a Hopf bifurcation occurs when time delay passes through critical values. Finally, numerical simulations are carried out for supporting the analytical results.
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spelling pubmed-39255892014-03-03 Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth Bianca, Carlo Guerrini, Luca ScientificWorldJournal Research Article This paper is devoted to the existence and stability analysis of limit cycles in a delayed mathematical model for the economy growth. Specifically the Solow model is further improved by inserting the time delay into the logistic population growth rate. Moreover, by choosing the time delay as a bifurcation parameter, we prove that the system loses its stability and a Hopf bifurcation occurs when time delay passes through critical values. Finally, numerical simulations are carried out for supporting the analytical results. Hindawi Publishing Corporation 2014-01-28 /pmc/articles/PMC3925589/ /pubmed/24592147 http://dx.doi.org/10.1155/2014/207806 Text en Copyright © 2014 C. Bianca and L. Guerrini. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bianca, Carlo
Guerrini, Luca
Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title_full Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title_fullStr Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title_full_unstemmed Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title_short Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth
title_sort existence of limit cycles in the solow model with delayed-logistic population growth
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3925589/
https://www.ncbi.nlm.nih.gov/pubmed/24592147
http://dx.doi.org/10.1155/2014/207806
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