The paper presents the one of possible approach to model the epidemic propagation. The proposed model is based on the mean-field control inside separate groups of population, namely, suspectable (S), infected (I), removed (R) and cross-immune (C). In the paper the numerical algorithm to solve such a problem is presented, which ensures the conservation the total mass of population during timeline. Numerical experiments demonstrate the result of modelling the propagation of COVID-19 virus during two 100 day periods in Novosibirsk (Russia).
@article{arxiv.2112.12313,
title = {Mean field game for modeling of COVID-19 spread},
author = {Viktoriya Petrakova and Olga Krivorotko},
journal= {arXiv preprint arXiv:2112.12313},
year = {2021}
}