Abstract
In this work, we employ a governing system of ordinary differential equations (ODEs) to create a mathematical model for getting insights into the dynamics of migration of Ukrainians evacuating due to war. A suitable assumption on coefficients of this model results in the well-known logistic growth. Additionally, stability analyses of equilibrium solutions for these ODEs are performed, and we employ parameter estimation techniques to identify coefficients using online datasets via both a least-squares approach as well as a physics informed neural network approach. Our findings indicate that over time, the daily influx of Ukrainian refugees to Poland stabilizes at a constant rate, represented by an asymptotically stable equilibrium solution.
Recommended Citation
Sitalo, Danielle; Ogueda-Oliva, Alonso; and Seshaiyer, Padmanabhan
(2024)
"Data-Driven Mathematical Modeling and Simulation of Migration Dynamics During the Russian-Ukrainian War,"
Spora: A Journal of Biomathematics: Vol. 10, 83–90.
DOI: https://doi.org/10.61403/2473-5493.1093
Available at:
https://ir.library.illinoisstate.edu/spora/vol10/iss1/9
