Modeling the Flow of Migrants through the US Southern Border Using a 2D Diffusion Equation

Migration remains a critical issue in contemporary society, with significant socio-economic and political implications. This study addresses the migration flow through the southern border of the United States by employing a two-dimensional (2D) diffusion equation model. The parameters of the model were calibrated using the most recent statistical data to reflect current migration trends. By solving the 2D diffusion equation, we were able to simulate the projections over the next 40 years, providing some insights into future migration dynamics. The findings from this study potentially offer a quantitative framework for policymakers to better understand and manage migration flows, thereby contributing to informed decision-making and strategic planning.