Dynamics of Pedestrian Crowds and Prevention of Crowd Disasters

Develop a mathematical framework for describing pedestrian motion and crowd dynamics. First we give a general introduction to the subject and emphasize the importance of its study, where we also comment on the different existing approaches found in the literature (P. M. Dirk Helbing 1995; Helbing 2009; T. Degond P. Y. 2010). Secondly, we portray an Individual-
Based model for describing the behavior of singular pedestrians and their interactions in crowd, similar to the one described on Helbing (2009). Afterwards, we present the results obtained in simulations from where we conclude .