Mean field game for modeling of COVID-19 spread

Viktoriya Petrakova; Olga Krivorotko

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arXiv · 2112.12313

Mean field game for modeling of COVID-19 spread

Viktoriya Petrakova·Olga Krivorotko

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Abstract

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).

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Viktoriya Petrakova, Olga Krivorotko. 2021-12-23. Mean field game for modeling of COVID-19 spread. https://arxiv.org/abs/2112.12313

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