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

  • Anibal Galindro Centre for Transdisciplinary Development Studies, University of Tras-os-Montes and Alto Douro, Polo II – ECHS, Quinta de Prados, 5000-801 Vila Real, Portugal
  • Delfim F. M. Torres Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Keywords: Mathematical modelling, Unemployment, Unemployment in Portugal in the period 2004-2016, Numerical simulations, Optimal control with state constraints


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.


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How to Cite
Galindro, A., & Torres, D. F. M. (2018). A simple mathematical model for unemployment: a case study in Portugal with optimal control. Statistics, Optimization & Information Computing, 6(1), 116-129. https://doi.org/10.19139/soic.v6i1.470
Research Articles