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The research aims to analyze how random uncertainties affect the stability of an unemployment model in developing nations.

February 11, 2026

Stability Analysis of a Stochastic Unemployment Model.

Key Points

The research aims to analyze how random uncertainties affect the stability of an unemployment model in developing nations.
Investigated stochastic perturbations in the unemployment evaluation model.
Studied existence and uniqueness of non-negative solutions.
Analyzed stability at equilibrium points under specific conditions.
Performed numerical simulations using Matlab to validate theoretical findings.
Demonstrated stability of the unemployment model under stochastic fluctuations.
Identified conditions under which non-negative solutions exist and are unique.
Provided numerical evidence supporting the theoretical stability analysis.

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.

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Authors

Oumaima Aarabate

Omar Balatif

Chouaib Doukkali University

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Stability Analysis of a Stochastic Unemployment Model.

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