無発症感染者と再感染が存在するSIIQRモデルにおけるワクチン接種と隔離の最適制御

抄録

The COVID-19 pandemic in 2020 has characteristics such as asymptomatic infections and reinfection, and the characteristics have not seen in previous SARS. An SIIR model was proposed as the mathematical model that considered such characteristics, but the control strategies, for example, vaccination and quarantine, was not considered in the model. Therefore, in this paper, we propose an SIIQR model that employs vaccination and quarantine as control inputs to the SIIR model. We also obtain optimal control using Pontryagin's maximum principle in order to suppress infectious people as well as minimizing the costs of vaccination and quarantine. Finally, the validity of the proposed method is confirmed through numerical simulation.