A Consideration on a Control Method of the Injection Rate to Suppress the Infected Population on the Basis of SIR Model by Means of Numerical Simulations

In the present work, we shall describe an optimal control scheme to suppress the infected population with a simple time-dependent SIR model. From the present numerical simulation results, it will be elucidated that there exists an optimal time to start a corresponding infection control for certain b...

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Bibliographic Details
Published inTransaction of the Japan Society for Simulation Technology Vol. 13; no. 2; pp. 102 - 114
Main Author Nakagawa, Masahiro
Format Journal Article
LanguageJapanese
Published Japan Society for Simulation Technology 2021
日本シミュレーション学会
Subjects
Infection
Infectious Rate
Numerical Simulations
SIR Model
SIRモデル
感染
感染率
数値シミュレーション
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ISSN1883-5031
1883-5058
DOI10.11308/tjsst.13.102

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Summary:In the present work, we shall describe an optimal control scheme to suppress the infected population with a simple time-dependent SIR model. From the present numerical simulation results, it will be elucidated that there exists an optimal time to start a corresponding infection control for certain basic reproduction number and effective production number under an appropriate control duration time. Furthermore it will be found that the deviation from the optimal control results in the reduction of the depression of the infected population.
ISSN:1883-5031
1883-5058
DOI:10.11308/tjsst.13.102