The Infection Control based on the Stochastic Optimal Control Theory and Its Application

在本研究中，我们建立了随机接种模型，该模型考虑了感染率的随机波动或环境变化引起的死亡率，并阐明了随机噪声对感染传播的影响。此外，我们还构造了随机最优疫苗接种系统，使接种疫苗的副作用和费用以及受感染的人口最小化。通过数值模拟验证了所提出的最优接种策略的有效性。

In this research, we have established the stochastic vaccination model which describes the spread of infection taking account of random fluctuations in the infection or the death rates caused by the environmental change and have clarified the influence of the random noise on the spread of infection. Moreover, we have constructed the stochastic optimal vaccination system which minimizes the side-effect and the cost of vaccination and the infected population. The efficiency of the proposed optimal vaccination strategy is verified by the numerical simulations.