Dynamics of a simple mathematical model for unemployment with time delay-Reference-Cited by-同舟云学术

Dynamics of a simple mathematical model for unemployment with time delay

Published:2022-12-01 Issue:2 Volume:58 Page:85-95
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Vesa Loredana Flavia¹²³

Affiliation:

1. West University of Timisoara , Department of Mathematics , Timisoara , Romania

2. West University of Timisoara , Institute for Advanced Environmental Research , Timisoara , Romania

3. Polytechnic University of Timisoara , Department of Mathematics , Timisoara , Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2022-0019

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