Stability analysis of unemployment model in Thailand after COVID-19 outbreak

In this paper, a nonlinear mathematical model is formulated to study the unemployment problem in Thailand after the COVID-19 outbreak by considering the number of unemployed, the number of employed people, and the number of new migrants to find work. Moreover, the stability of this system is analyzed. It is found that this system has two equilibriums: the employment-free equilibrium and the positive equilibrium. Additionally, two equilibrium points are stable under certain conditions. The corresponding parameters in the models are derived from data from the National Statistical Office, the Ministry of Digital Economy and Society, and the Foreign Workers Administration Office during COVID-19 in 2020. Finally, the numerical experiments are demonstrated to validate the theoretical results and model.