论文标题
通过平均场控制控制流行病的传播
Controlling Propagation of epidemics via mean-field control
论文作者
论文摘要
2019年冠状病毒病（Covid-19）大流行在全球范围内改变并影响生命。在本文中，我们介绍了一种平均田间游戏模型，以控制空间域上流行病的传播。控制变量，即空间速度，首先是针对经典疾病模型（例如SIR模型）引入的。对于此提出的模型，我们基于近端原始偶对偶的方法提供快速的数值算法。数值实验表明，提出的模型说明了如何有效地在空间结构域中分离感染患者。
The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a global scale. In this paper, we introduce a mean-field game model in controlling the propagation of epidemics on a spatial domain. The control variable, the spatial velocity, is first introduced for the classical disease models, such as the SIR model. For this proposed model, we provide fast numerical algorithms based on proximal primal-dual methods. Numerical experiments demonstrate that the proposed model illustrates how to separate infected patients in a spatial domain effectively.
