Abstract
Many social and economical factors affect the dynamics of human populations, such as poverty, violence, war, dictatorships, persecutions, tsunamis, floods, earthquakes, family reunification as well as economic and educational possibilities or a job. In this paper, we consider a network based model where the aim of each migration class is to maximize the attractiveness of the origin country and we prove that the optimization model can be formulated in terms of a Nash equilibrium problem and a variational inequality. Finally, some numerical results applied to the human migration from Africa to Europe are presented and analyzed.
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Acknowledgements
The research of the authors was partially supported by the research project “Modelli Matematici nell’Insegnamento-Apprendimento della Matematica” DMI, University of Catania and by the research project PON SCN 00451 CLARA - CLoud plAtform and smart underground imaging for natural Risk Assessment, Smart Cities and Communities and Social Innovation. These supports are gratefully acknowledged.
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Cappello, G., Daniele, P. (2019). A Variational Formulation for a Human Migration Problem. In: Paolucci, M., Sciomachen, A., Uberti, P. (eds) Advances in Optimization and Decision Science for Society, Services and Enterprises. AIRO Springer Series, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-030-34960-8_17
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DOI: https://doi.org/10.1007/978-3-030-34960-8_17
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