Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology
We introduce a time-to-build technology in a Solow model with nonconstant population. Our analysis shows that the population dynamics may be a source of stability switches and Hopf bifurcations. The analytical results are obtained using the recent technique introduced by Beretta and Kuang (2002) in...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/280925 |
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| _version_ | 1832566825131442176 |
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| author | Luca Guerrini Mauro Sodini |
| author_facet | Luca Guerrini Mauro Sodini |
| author_sort | Luca Guerrini |
| collection | DOAJ |
| description | We introduce a time-to-build technology in a Solow model with nonconstant population. Our analysis shows that the population dynamics may be a source of stability switches and Hopf bifurcations. The analytical results are obtained using the recent technique introduced by Beretta and Kuang (2002) in the studying of delayed differential equations with delay-dependent coefficients in characteristic equation. Numerical simulations are performed in order to illustrate the main dynamic features of the model. |
| format | Article |
| id | doaj-art-70852f65726648b5acd675254aee887e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-70852f65726648b5acd675254aee887e2025-02-03T01:03:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/280925280925Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build TechnologyLuca Guerrini0Mauro Sodini1Department of Management, Polytechnic University of Marche, Piazza Martelli 8, 60121 Ancona, ItalyDepartment of Economics and Management, University of Pisa, Via Cosimo Ridolfi 10, 56124 Pisa, ItalyWe introduce a time-to-build technology in a Solow model with nonconstant population. Our analysis shows that the population dynamics may be a source of stability switches and Hopf bifurcations. The analytical results are obtained using the recent technique introduced by Beretta and Kuang (2002) in the studying of delayed differential equations with delay-dependent coefficients in characteristic equation. Numerical simulations are performed in order to illustrate the main dynamic features of the model.http://dx.doi.org/10.1155/2013/280925 |
| spellingShingle | Luca Guerrini Mauro Sodini Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology Abstract and Applied Analysis |
| title | Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology |
| title_full | Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology |
| title_fullStr | Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology |
| title_full_unstemmed | Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology |
| title_short | Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology |
| title_sort | dynamic properties of the solow model with increasing or decreasing population and time to build technology |
| url | http://dx.doi.org/10.1155/2013/280925 |
| work_keys_str_mv | AT lucaguerrini dynamicpropertiesofthesolowmodelwithincreasingordecreasingpopulationandtimetobuildtechnology AT maurosodini dynamicpropertiesofthesolowmodelwithincreasingordecreasingpopulationandtimetobuildtechnology |