The study of the asymptotic behavior of the global positive solution to an unemployment model with stochastic perturbation.

Abstract

In this paper, we propose and analyze a mathematical model with stochastic perturbation of the issue of unemployment by
considering three main variables. Namely graduates or individuals who have reached the age of employment, salaried individuals
and employees, and then individuals who have been made redundant or who have resigned from work. After the description of
the proposed model, we study the existence and the uniqueness of the nonnegative solution. Furthermore, we investigate
the asymptotic behavior of this solution by analyzing the stability of the system at the equilibrium points.
Finally, some numerical simulations are performed to verify the theoretical analysis using Matlab.