Modeling and Mathematical Analysis of Labor Force Evolution

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: Sanaa ElFadily, Abdelilah Kaddar
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2019/2562468
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spelling doaj-13257b5dca044ed0b897ac8f6132c4832020-11-24T23:09:00ZengHindawi LimitedModelling 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
collection DOAJ
language English
format Article
sources DOAJ
author Sanaa ElFadily
Abdelilah Kaddar
spellingShingle Sanaa ElFadily
Abdelilah Kaddar
Modeling and Mathematical Analysis of Labor Force Evolution
Modelling and Simulation in Engineering
author_facet Sanaa ElFadily
Abdelilah Kaddar
author_sort Sanaa ElFadily
title Modeling and Mathematical Analysis of Labor Force Evolution
title_short 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_sort modeling and mathematical analysis of labor force evolution
publisher Hindawi Limited
series Modelling and Simulation in Engineering
issn 1687-5591
1687-5605
publishDate 2019-01-01
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.
url http://dx.doi.org/10.1155/2019/2562468
work_keys_str_mv AT sanaaelfadily modelingandmathematicalanalysisoflaborforceevolution
AT abdelilahkaddar modelingandmathematicalanalysisoflaborforceevolution
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