Kinetic Modeling of Social Crowds with Infectious Disease Contagion

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Abstract
This paper introduces a kinetic model that couples social behavior in crowds (such as social interpersonal distance or herding) with contagion dynamics. The approach is based on the so-called kinetic theory of active particles where the activity variable represents the psychological state of pedestrians as well as their state related to an infectious disease (e.g., susceptible, infected, etc.). The activity evolves as the crowd moves and eventually exits a closed room. Some case studies are proposed in order to demonstrate the role of activity and how contagion awareness and stress influence the crowd movement and its shaping behavior.
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