A Mathematical Model for Unemployment Control-An Analysis with and without Delay

Abstract

The paper presented a mathematical model to control unemployment using dynamic system. In this process we consider the situation where job search is open for native unemployed and new migrant workers enter into the territory as unemployed. So, government of that territory feels more burden of unemployment and make efforts for creating new vacancies with the help of private sector. Also, we assume that native unemployed and new migrant workers both make efforts for self-employment. We studied the local stability of the non-negative equilibrium point with and without delay. Numerical simulation has been carried out to illustrate the analytical result.