Inverse Coefficient Problem for Epidemiological Mean-Field Formulation

Viktoriya Petrakova ()
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Viktoriya Petrakova: Institute of Computational Modeling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, 660036 Krasnoyarsk, Russia

Mathematics, 2024, vol. 12, issue 22, 1-19

Abstract: The paper proposes an approach to solving the inverse epidemiological problem, written in terms of the “mean-field” theory. Finding the coefficients of an epidemiological SIR mean-field model is reduced to solving an optimization problem, for the solution of which only zero-order methods can be used. An algorithm for the solution of the inverse coefficient problem is proposed. Computational experiments were carried out to compare the obtained solutions with respect to synthetic and real data. The results of computational experiments have shown the efficiency of this approach. Ways to further improve the approach have also been determined.

Keywords: SIR mean-field problem; inverse coefficient epidemiological problems; optimization problem; Nelder–Mead method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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