Modeling and Mathematical Analysis of Labor Force Evolution. (2nd January 2019)

• Record Type: Journal Article
• Authors: ElFadily, Sanaa; Kaddar, Abdelilah
• Other Names: Calì Michele Academic Editor.
• Is Part Of: Modelling and simulation in engineering. Volume 2019(2019)
• Publication Date: 2019-01-02
• Subjects: Engineering -- Simulation methods -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.004
• DOI: 10.1155/2019/2562468
• Languages: English
• ISSNs: 1687-5591

Abstract

Abstract : 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.