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Modeling the flow of pedestrians by the macroscopic theory

The need to model the traffic of pedestrians has become a priority in environments where pedestrians can circulate. The research has advanced in an attempt to solve accidents related to large crowds. Furthermore, analyzing structures for pedestrians before they have been built has become a requirement of the authorities, as well as being able to manage the flow of pedestrians in those facilities. To characterize this behavior, studies have emerged including theories of physics and mathematics, which analyze pedestrian traffic through models described by differential and integral-differential equations. This work presents the macroscopic scale modeling of traffic and its direct connection with physics and hydrodynamic models. The model was applied to a walk situation where the results were compared with other work on the simulations and experimental observations on the pedestrian traffic, found in the bibliography.

macroscopic theory; flow of pedestrians


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