Dynamics of Unemployment with Discouraged Workers: A Nonlinear Mathematical Model

TL;DR

This paper develops and analyzes a nonlinear mathematical model capturing unemployment dynamics, including discouraged workers, with stability analysis and numerical simulations to understand how parameters affect employment states.

Contribution

It introduces a novel nonlinear model incorporating discouraged workers and provides stability analysis and numerical simulations to explore unemployment dynamics.

Findings

Identification of equilibrium points and their stability

Numerical simulations illustrating parameter effects

Insights into the role of discouraged workers in unemployment dynamics

Abstract

In this article, we formulate and analyze a new non-linear mathematical model to describe the dynamics of unemployment with a discouraged working population. We consider five dynamic variables, namely, unskilled unemployed individuals, skilled unemployed individuals, discouraged individuals, employed persons, and job vacancies. Furthermore, we determine the equilibrium points of the dynamic system and investigate their local stability. To demonstrate the results, we conduct numerical simulations by presenting solution trajectories and analyzing how variations in key parameters influence the states of the dynamical variables.