Lee Wonjun, Liu Siting, Li Wuchen, Osher Stanley
Department of Mathematics, University of California, Los Angeles, USA.
Department of Mathematics, University of South Carolina, Columbia, USA.
Res Math Sci. 2022;9(3):51. doi: 10.1007/s40687-022-00350-2. Epub 2022 Jul 27.
With the invention of the COVID-19 vaccine, shipping and distributing are crucial in controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial domain, which controls the propagation of pandemics by the optimal transportation strategy of vaccine distribution. Here, we integrate the vaccine distribution into the mean-field SIR model designed in Lee W, Liu S, Tembine H, Li W, Osher S (2020) Controlling propagation of epidemics via mean-field games. arXiv preprint arXiv:2006.01249. Numerical examples demonstrate that the proposed model provides practical strategies for vaccine distribution in a spatial domain.
随着新冠疫苗的发明，运输和分发对于控制疫情至关重要。在本文中，我们在空间域构建了一个平均场变分问题，该问题通过疫苗分发的最优运输策略来控制疫情的传播。在此，我们将疫苗分发整合到由李W、刘S、滕宾H、李W、奥舍尔S（2020年）所设计的平均场SIR模型中，论文题目为《通过平均场博弈控制流行病传播》，arXiv预印本：arXiv:2006.01249。数值示例表明，所提出的模型为空间域中的疫苗分发提供了实用策略。
