Alessandro Corbetta, Andrea Tosin, Luca Bruno
In the present work a mathematical model aimed at evaluating the dynamics of crowds is derived and discussed. In particular, on the basis of some phenomenological considerations focused on pedestrians' individual behavior, a model dealing with the collective evolution of the crowd, formalized in terms of a conservation law for a crowding measure, is obtained. To suit engineering needs, modeling efforts are made toward the simulation of real world crowd events specifically happening along pedestrian walkways. The response of the model as well as its tunability are studied in some computational domains inspired by existing footbridges.
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http://arxiv.org/abs/1212.3711
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