A delayed model of unemployment with a general nonlinear recruitment rate

Sanaa Elfadily, Abdelilah Kaddar

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.

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Published: 2021-11-30

How to Cite this Article:

Sanaa Elfadily, Abdelilah Kaddar, A delayed model of unemployment with a general nonlinear recruitment rate, J. Math. Comput. Sci., 12 (2022), Article ID 21

Copyright © 2022 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.

 

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