Modeling and Mathematical Analysis of Labor Force Evolution
In this paper, we propose a delayed differential system to model labor force (occupied labor force and unemployed) evolution. The mathematical analysis of our model focuses on the local behavior of the labor force around a positive equilibrium position; the existence of a branch of periodic solution...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/2562468 |
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| _version_ | 1832550046947606528 |
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| author | Sanaa ElFadily Abdelilah Kaddar |
| author_facet | Sanaa ElFadily Abdelilah Kaddar |
| author_sort | Sanaa ElFadily |
| collection | DOAJ |
| description | In this paper, we propose a delayed differential system to model labor force (occupied labor force and unemployed) evolution. The mathematical analysis of our model focuses on the local behavior of the labor force around a positive equilibrium position; the existence of a branch of periodic solutions bifurcated from the positive equilibrium is then analyzed according to the Hopf bifurcation theorem. Finally, we performed numerical simulations to illustrate our theoretical results. |
| format | Article |
| id | doaj-art-13257b5dca044ed0b897ac8f6132c483 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-13257b5dca044ed0b897ac8f6132c4832025-02-03T06:07:46ZengWileyModelling and Simulation in Engineering1687-55911687-56052019-01-01201910.1155/2019/25624682562468Modeling and Mathematical Analysis of Labor Force EvolutionSanaa ElFadily0Abdelilah Kaddar1Mohammadia School of Engineering, Mohammed V University, Rabat, MoroccoFinance, Entrepreneuriat et Développement, Faculté des Sciences Juridiques, Economiques et Sociales de Salé, Université Mohammed V de Rabat, Sala Al Jadida, Salé, MoroccoIn this paper, we propose a delayed differential system to model labor force (occupied labor force and unemployed) evolution. The mathematical analysis of our model focuses on the local behavior of the labor force around a positive equilibrium position; the existence of a branch of periodic solutions bifurcated from the positive equilibrium is then analyzed according to the Hopf bifurcation theorem. Finally, we performed numerical simulations to illustrate our theoretical results.http://dx.doi.org/10.1155/2019/2562468 |
| spellingShingle | Sanaa ElFadily Abdelilah Kaddar Modeling and Mathematical Analysis of Labor Force Evolution Modelling and Simulation in Engineering |
| title | Modeling and Mathematical Analysis of Labor Force Evolution |
| title_full | Modeling and Mathematical Analysis of Labor Force Evolution |
| title_fullStr | Modeling and Mathematical Analysis of Labor Force Evolution |
| title_full_unstemmed | Modeling and Mathematical Analysis of Labor Force Evolution |
| title_short | Modeling and Mathematical Analysis of Labor Force Evolution |
| title_sort | modeling and mathematical analysis of labor force evolution |
| url | http://dx.doi.org/10.1155/2019/2562468 |
| work_keys_str_mv | AT sanaaelfadily modelingandmathematicalanalysisoflaborforceevolution AT abdelilahkaddar modelingandmathematicalanalysisoflaborforceevolution |