Control of COVID-19 transmission dynamics, a game theoretical approach

被引：0
作者：
R. Matusik
A. Nowakowski
机构：
[1] University of Lodz,Faculty of Mathematics and Computer Sciences
来源：
Nonlinear Dynamics | 2022年 / 110卷
关键词：
COVID-19; Mathematical model of COVID-19; Game theoretic approach; Dual dynamic programming; Sufficient optimality conditions for Nash equilibrium; Numerical algorithm; 34H05; 91A23; 49J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We analyze a mathematical model of COVID-19 transmission control, which includes the interactions among different groups of the population: vaccinated, susceptible, exposed, infectious, super-spreaders, hospitalized and fatality, based on a system of ordinary differential equations, which describes compartment model of a disease and its treatment. The aim of the model is to predict the development disease under different types of treatment during some fixed time period. We develop a game theoretic approach and a dual dynamic programming method to formulate optimal conditions of the treatment for an administration of a vaccine. Next, we calculate numerically an optimal treatment.
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页码：857 / 877
页数：20
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