Modeling and simulation of disease spreading in pedestrian crowds have recently become a topic of increasing relevance. In this paper, we consider the influence of the crowd motion in a complex dynamical environment on the course of infection of the pedestrians. To model the pedestrian dynamics, we consider a kinetic equation for multi-group pedestrian flow based on a social force model coupled with an Eikonal equation. This model is coupled with a non-local SEIS contagion model for disease spread, where besides the description of local contacts, the influence of contact times has also been modeled. Hydrodynamic approximations of the coupled system are derived. Finally, simulations of the hydrodynamic model are carried out using a mesh-free particle method. Different numerical test cases are investigated, including uni- and bi-directional flow in a passage with and without obstacles.

中文翻译：

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疾病传染模型与人群运动和无网格模拟相结合

对行人人群中疾病传播的建模和模拟最近已成为越来越相关的话题。在本文中，我们考虑了复杂动态环境中人群运动对行人感染过程的影响。为了模拟行人动力学，我们考虑了基于社会力模型和 Eikonal 方程的多组行人流的动力学方程。该模型与用于疾病传播的非本地 SEIS 传染模型相结合，其中除了对本地接触者的描述外，还对接触时间的影响进行了建模。导出了耦合系统的流体动力学近似。最后，使用无网格粒子方法进行流体动力学模型的模拟。研究了不同的数值测试用例，