Optimal management of vaccination and isolation in an epidemic situation

Authors: Maslakov A.V.
Published in issue: #11(64)/2021
DOI: 10.18698/2541-8009-2021-11-752
Category: Medical sciences | Chapter: Medical equipment and devices
Keywords: mathematical epidemiology, measles, SEIR model, quarantine, isolation, vaccination, optimal management, coronavirus
Published: 10.12.2021

Against the background of the spread of coronavirus infection, various control measures are being introduced to prevent its further spread. It is imperative to assess the impact of such measures on the dynamics of the epidemic. In the above work, the compartment models used in mathematical epidemiology to describe the dynamics of epidemics are considered, extended to describe control measures in the form of vaccination and isolation using the example of measles disease. The task of optimal control of vaccination and isolation regimes is set. A numerical solution to the problem is obtained for various values of the weight coefficient and the threshold of the control action to assess their influence on the effectiveness of control measures. A close to linear dependence of the effectiveness of control measures on the threshold of control action was obtained.

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