Analysis of pandemic with game methodology and numerical approximation

• Autorzy: Matusik Radosław , Nowakowski Andrzej

Identyfikatory

DOI

10.24425/acs.2023.146963

• Języki publikacji: EN

Abstrakty

EN

We build a mathematical game model of pandemic transmission, including vaccinations of population and budget costs of different acting to eliminate pandemic. We assume the interactions among different groups: vaccinated, susceptible, exposed, infectious, super-spreaders, hospitalized and fatality, defining a system of ordinary differential equations, which describes compartment model of disease and costs of the treatment. The goal of the game is to describe the development disease under different types of treatment, but including costs of them and social restrictions, during the shortest time period. To this effect we construct a dual dynamic programming method to describe open-loop Nash equilibrium for treatment, a group of people having antibodies and budget costs. Next, we calculate numerically an approximate open-loop Nash equilibrium.

Słowa kluczowe

EN

COVID-19; game model of pandemic; approximate dual dynamic programming; sufficient approximate optimality conditions for Nash equilibrium; numerical algorithm

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 3
• Strony: 651--680
• Opis fizyczny: Bibliogr. 32 poz., rys., tab., wzory

Twórcy

autor

Matusik Radosław

• Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, Łódz, 90-238, Poland

• https://orcid.org/0000-0003-1088-6127

autor

Nowakowski Andrzej

• Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, Łódz, 90-238, Poland

• https://orcid.org/0000-0001-9152-566X

Bibliografia

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