Geodesic
A system-optimization model for multiclass human migration with migration costs and regulations inspired by the Covid-19 pandemic
Minimax theory and its applications, Tome 6 (2021) no. 2
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In the last several decades, the main causes of human migration have included: poverty, war and political strife, climate change, tsunamis, earthquakes, as well as economic and educational possibilities. In this paper, we present a system-optimized network model for multiple migration classes with migration costs and regulations inspired by the Covid-19 pandemic. We derive the variational inequality formulation associated with the system-optimization problem which consists of maximizing the total societal welfare. Lagrange analysis is also performed in order to obtain a precise evaluation of the multiclass human migration phenomenon. This work adds to the literature on system-optimization of human migration in the presence of regulations and with the explicit inclusion of migration costs.
Mots-clés : Human migration, regulations, Covid-19 pandemic, nonlinear optimization, variational inequalities, Lagrange theory 
@article{MTA_2021_6_2_a6,
     author = {Giorgia Cappello and Patrizia Daniele,Anna Nagurney},
     title = {A system-optimization model for multiclass human migration with migration costs and regulations inspired by the {Covid-19} pandemic},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {2},
     zbl = {1472.90096},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a6/}
}
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Giorgia Cappello; Patrizia Daniele,Anna Nagurney. A system-optimization model for multiclass human migration with migration costs and regulations inspired by the Covid-19 pandemic. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a6/