- Tytuł:
- Analysis of pandemic with game methodology and numerical approximation
- Autorzy:
-
Matusik, Radosław
Nowakowski, Andrzej - Powiązania:
- https://bibliotekanauki.pl/articles/29432416.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
COVID-19
game model of pandemic
approximate dual dynamic programming
sufficient approximate optimality conditions for Nash equilibrium
numerical algorithm - Opis:
- 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.
- Źródło:
-
Archives of Control Sciences; 2023, 33, 3; 651--680
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł