| Issue |
Math. Model. Nat. Phenom.
Volume 21, 2026
|
|
|---|---|---|
| Article Number | 8 | |
| Number of page(s) | 16 | |
| Section | Mathematical methods | |
| DOI | https://doi.org/10.1051/mmnp/2026003 | |
| Published online | 23 March 2026 | |
Stability Analysis of a Stochastic Unemployment Model
Laboratory of Fundamental Mathematics and their Applications, Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
29
April
2025
Accepted:
2
February
2026
Abstract
This paper investigates the effect of stochastic perturbations on the deterministic UEV framework, which characterizes the problem of unemployment in poor countries. It examines how the system behaves and stays stable under random fluctuations. We study the existence and uniqueness of the non-negative solution. Furthermore, we examine the asymptotic behavior of this solution by analyzing the stability of the system at equilibrium points under some conditions. Finally, some numerical simulations are performed to verify the theoretical analysis using Matlab.
Mathematics Subject Classification: 60H10 / 60J65 / 37H30 / 34F05
Key words: Brownien motion / stochastic unemployment model / asymptotic behavior / stochastic Lyapunov function
© The authors. Published by EDP Sciences, 2026
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.