In this paper, we present a computational modeling approach for the dynamics of human crowds, where the spreading of an emotion (specifically fear) has an influence on the pedestrians’ behavior. Our approach is based on the methods of the kinetic theory of active particles. The model allows us to weight between two competing behaviors depending on fear level: the search for less congested areas and the tendency to follow the stream unconsciously (herding). The fear level of each pedestrian influences their walking speed and is influenced by the fear levels of their neighbors. Numerically, we solve our pedestrian model with emotional contagion using an operator splitting scheme. We simulate evacuation scenarios involving two groups of interacting pedestrians to assess how domain geometry and the details of fear propagation impact evacuation dynamics. Further, we reproduce the evacuation dynamics of an experimental study involving distressed ants.

中文翻译：

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具有情绪传染的二维人群动力学的动力学理论方法

在本文中，我们提出了一种用于人群动态的计算建模方法，其中情绪（特别是恐惧）的传播会对行人的行为产生影响。我们的方法基于活性粒子的动力学理论方法。该模型允许我们根据恐惧程度在两种竞争行为之间权衡：寻找不那么拥挤的区域和无意识地跟随潮流的趋势（羊群）。每个行人的恐惧程度会影响他们的步行速度，并受到邻居恐惧程度的影响。在数值上，我们使用算子拆分方案解决了带有情绪感染的行人模型。我们模拟涉及两组交互行人的疏散场景，以评估域几何形状和恐惧传播的细节如何影响疏散动态。此外，我们重现了一项涉及痛苦蚂蚁的实验研究的疏散动态。