<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A three-dimensional mathematical model is analyzed in order to study the labour market, with an emphasis on unemployment, employment and the number of open positions. The rate of change of new positions created by the public and private sectors depends on the historical levels of unemployment, taking into account the distributed time delay. The non-dimensional mathematical model is done and the existence of the equilibrium points is examined. The findings related to the positivity and boundedness of solutions are presented. In addition the global asymptotic stability of the positive equilibrium is provided. The theoretical results are exemplified by the numerical simulations.</p>
</abstract>

A three-dimensional mathematical model is analyzed in order to study the labour market, with an emphasis on unemployment, employment and the number of open positions. The rate of change of new positions created by the public and private sectors depends on the historical levels of unemployment, taking into account the distributed time delay. The non-dimensional mathematical model is done and the existence of the equilibrium points is examined. The findings related to the positivity and boundedness of solutions are presented. In addition the global asymptotic stability of the positive equilibrium is provided. The theoretical results are exemplified by the numerical simulations.

Dynamics of a simple mathematical model for unemployment with time delay

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Dynamics of a simple mathematical model for unemployment with time delay"}

A three-dimensional mathematical model is analyzed in order to study the labour market, with an emphasis on unemployment, employment and the number of open...

Dynamics of a simple mathematical model for unemployment with time delay

Published Online: Dec 24, 2022

Page range: 85 - 95

DOI: https://doi.org/10.2478/awutm-2022-0019

Keywords
unemployment, equilibrium point, global stability, distributed time delay

© 2022 Loredana Flavia Vesa, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Dynamics of a simple mathematical model for unemployment with time delay

Published Online: Dec 24, 2022

Page range: 85 - 95

DOI: https://doi.org/10.2478/awutm-2022-0019

Keywordsunemployment, equilibrium point, global stability, distributed time delay

© 2022 Loredana Flavia Vesa, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
unemployment, equilibrium point, global stability, distributed time delay