A simple mathematical model for unemployment: a case study in Portugal with optimal control

Anibal Galindro, Delfim F. M. Torres


We propose a simple mathematical model for unemployment. Despite its simpleness, we claim that the model is more realistic and useful than recent models available in the literature. A case study with real data from Portugal supports our claim. An optimal control problem is formulated and solved, which provides some non-trivial and interesting conclusions.


Mathematical modelling; Unemployment;Unemployment in Portugal in the period 2004-2016;Numerical simulations; Optimal control with state constraints


S. Barnwell, Relationship between internships and employment competencies of degreed professionals who completed a college internship, PhD thesis, Walden University, 2016. http://scholarworks.waldenu.edu/dissertations/2917/

R. C. Dorf and R. H. Bishop, Modern Control Systems, Prentice Hall, 2001.

L. Harding and M. Neamt ¸u, A dynamic model of unemployment with migration and delayed policy intervention, Comput. Econ., in press. DOI: 10.1007/s10614-016-9610-3

B. Houska and H. J. Ferreau and M. Diehl, ACADO Toolkit – An Open Source Framework for Automatic Control and Dynamic Optimization, Optimal Control Appl. Methods 32 (2011), no. 3, 298–312.

A. K. Misra and A. K. Singh, A mathematical model for unemployment, Nonlinear Anal. Real World Appl. 12 (2011), no. 1, 128–136.

A. K. Misra and A. K. Singh, A delay mathematical model for the control of unemployment, Differ. Equ. Dyn. Syst. 21 (2013), no. 3, 291–307.

S. B. Munoli and S. Gani, Optimal control analysis of a mathematical model for unemployment, Optimal Control Appl. Methods 37 (2016), no. 4, 798–806.

C. V. Nikolopoulos and D. E. Tzanetis, A model for housing allocation of a homeless population due to a natural disaster, Nonlinear Anal. Real World Appl. 4 (2003), no. 4, 561–579.

P. Silva, B. Lopes, M. Costa, A. I. Melo, G. P. Dias, E. Brito and D. Seabra, The million-dollar question: can internships boost employment?, Studies in Higher Education, in press. DOI: 10.1080/03075079.2016.1144181

N. Sirghi, M. Neamtu and D.S. Deac, A dynamic model for unemployment control with distributed delay, Math. Meth. Fin. Bus. Admin. (2014), 42–48.

WWW, Banco de Portugal, https://www.bportugal.pt/

WWW, Instituto do Emprego e Formacao Profissional, https://www.iefp.pt/

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DOI: 10.19139/soic.v6i1.470


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