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Numerical Modelling of Mean-Field Game Epidemic Full article

Conference XIV International Conference Optimization and Applications
18-22 Sep 2023 , Петровац, Черногория
Source Optimization and Applications : 14th International Conference, OPTIMA 2023, Petrovac, Montenegro, September 18–22, 2023, Revised Selected Papers
Compilation, Springer. 2023. 390 c. ISBN 9783031478598.
Journal Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349
Output data Year: 2023, Volume: 14395, Pages: 207-217 Pages count : 11 DOI: 10.1007/978-3-031-47859-8_15
Tags Mean field game · Kolmogorov-Fokker-Planck · Hamilton-Jacobi-Bellman · Collocation method · SIR model
Authors Neverov Andrei 1 , Krivorotko Olga 2
Affiliations
1 Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
2 Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia

Funding (2)

1 Russian Science Foundation 23-71-10068
2 Mathematical Center in Akademgorodok 075-15-2022-282

Abstract: The mean-field game model of infectious disease local propagation is formulated and solved numerically considering social behavior of modelled population. The numerical algorithm based on collocation method is proposed. As a result of numerical modelling with specific assumptions about population, its movement cost, knowledge about infected group, initial distribution and its optimal behavior is acquired and discussed.
Cite: Neverov A. , Krivorotko O.
Numerical Modelling of Mean-Field Game Epidemic
In compilation Optimization and Applications : 14th International Conference, OPTIMA 2023, Petrovac, Montenegro, September 18–22, 2023, Revised Selected Papers. – Springer., 2023. – C.207-217. – ISBN 9783031478598. DOI: 10.1007/978-3-031-47859-8_15 Scopus OpenAlex
Dates:
Published print: Nov 10, 2023
Published online: Nov 10, 2023
Identifiers:
Scopus: 2-s2.0-85177210221
OpenAlex: W4388522868
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