A delayed model of unemployment with a general nonlinear recruitment rate
Abstract
This article examines unemployment phenomenon using delay differential equations. Our objective consists in evaluating the influence of the delay and recruitment function on the stability of the equilibrium. We propose a nonlinear function of general type. The dynamics of this model is analyzed by constructing a Lyapunov function. First, we prove the existence and uniqueness of positive equilibrium. Next, we demonstrate the overall stability of this equilibrium. Finally, we present some numerical examples (bilinear function, with separate variables and general) to illustrate and compare our results in different situations.
Copyright © 2021 Sanaa Elfadily, Abdelilah Kaddar. 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.
Cite this article
S. Elfadily, A. Kaddar, A delayed model of unemployment with a general nonlinear recruitment rate, J. Math. Comput. Sci. 12 (2022), 21. https://doi.org/10.28919/jmcs/6814
BibTeX
@article{Elfadily2022,
author = {Elfadily, Sanaa and Kaddar, Abdelilah},
title = {A delayed model of unemployment with a general nonlinear recruitment rate},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {21},
doi = {10.28919/jmcs/6814}
}