THE INFLUENCE OF TIME DELAY ON THE DYNAMICS OF MATHEMATICAL MODEL OF UNEMPLOYMENT
In this paper, a mathematical model is proposed for the analysis of unemployment, which considers the following three variables: number of unemployed, number of temporary employed or self-employed and the number of permanent employees. The mathematical model is described by a system of differential equations with time delay. I assume that the movement from unemployed to employee is delayed and there is a deferral in the emigration decision of the unemployed too. Numerically, the equilibrium point is determined and its local stability is investigated.
Cazes, S., Verick, S., & Al Hussami, F. (2011). Diverging trends in unemployment in the United States and Europe: evidence from Okun's law and the global financial crisis (No. 994676293402676). International Labour Organization.
Cazes, S., Verick, S., & Al Hussami, F. (2013). Why did unemployment respond so differently to the global financial crisis across countries? Insights from Okun’s Law. IZA Journal of Labor Policy, 2(1), 10.
Cholezas, I., & Kanellopoulos, N. C. (2015). Labour market reforms in Greece and the wage curve. Economics Letters, 136, 19-21.
Cismaș, L.M., Curea-Pitorac, R.I. and Vădăsan, I. (2019) The impact of remittances on the receiving country: some evidence from Romania in European context, Economic Research-Ekonomska Istraživanja
Dolado, J., et al. (2013), "Youth Labour Market Performance in Spain and its Determinants: A Micro-Level Perspective", OECD Economics Department Working Papers, No. 1039, OECD Publishing, Paris, https://doi.org/10.1787/5k487n5bfz5c-en
Harding, L. and Neamțu, M. (2018) A Dynamic Model of Unemployment with Migration and Delayed Policy Intervention, Computational Economics, Vol. 51, No. 3, 03.2018, p. 427–462.
Mauro, J.A., Mitra, S., 2015. "Understanding Out-of-Work and Out-of-School Youth in Europe and Central Asia", World Bank Other Operational Studies 22806, The World Bank.
Macchiarelli, C., Monastiriotis, V., Lmapropoulou, N. (2019) Labour market mobility in the EU before and after the crisis, https://blogs.lse.ac.uk/businessreview/2019/10/14/labour-market-mobility-in-the-eu-before-and-after-the-crisis/
Misra, A.K. and Singh, A.K. (2011) A mathematical model for unemployment, IJTPC,4(2011), 2322-3138.
Misra, A. K. , Singh, A. K. and Singh, P. K. (2017) Modeling the Role of Skill Development to Control Unemployment, Differential Equations and Dynamical Systems.
Nikolopoulos, C.V. and Tzanetis, D.E. (2003) A model for housing allocation of a homeless population due to natural disaster, Nonlinear Anal., 4(2003), 561-579.
Pathan, G.N. and Bhathawala,P.H. (2015) A Mathematical Model of unemployment with effect of self employment, IOSR-JM,11(6)(2015), 37-43.
Pathan, G.N. and Bhathawala,P.H. (2016) Unemployment – Discussion with a Mathematical Model, International Journal of Business Management and Economics Research. ISSN 2349-2333 Volume 3, Number 1 (2016), pp. 19-27
Sundar, S., Tripathi, A. and Naresh, R. (2018) Does Unemployment Induce Crime in Society? A Mathematical Study, American Journal of Applied Mathematics and Statistics. 2018, 6(2), 44-53.