AI 中文总结
该研究从足球场个体微观位置数据推导平滑宏观密度与速度，结合易感-感染关键接触时长检测暴露个体，用有限体积格式求解人群-疫情耦合PDE模型并完成校准。
AI 中文摘要
我们提出一种方法，用于从足球场中个体的微观位置数据推导和平滑宏观密度与速度。我们针对易感、感染和暴露个体分别计算宏观密度，其中暴露个体的检测基于易感与感染个体间关键接触的持续时长。随后，我们提出并采用有限体积格式数值求解人群流动-疫情传播PDE模型，最终利用计算得到的平滑密度对该模型进行校准。
英文摘要
We introduce an approach for derivation and smoothing of macroscopic densities and velocities from people trajectories, obtained from microscopic position data of individuals within a football stadium. We compute macroscopic densities specifically for susceptible, infected, and exposed individuals, via detection of exposed individuals based on the duration of critical contacts between susceptible and infected. We then present and numerically solve a crowd flow - epidemic spreading PDE model using a finite volume scheme. Finally, we calibrate the model using the smoothed densities computed.
