A System-Optimization Model for Multiclass Human Migration with Migration Costs and Regulations Inspired by the Covid-19 Pandemic
Keywords:
Human migration, regulations, Covid-19 pandemic, nonlinear optimization, variational inequalities, Lagrange theory.Abstract
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.
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