A multiscale model for the dynamics of crowd evacuation from bounded domains

AGNELLI J.P.; AGNELLI J.P.; COLASUONNO F.; COLASUONNO F.; KNOPOFF D.; KNOPOFF D.

Buenos Aires

Workshop; SoFiA: Latin American School and Workshop on Data Analysis and Mathematical Modelling of Social Sciences; 2016

CELFI

We introduce a mathematical model of the evacuation of acrowd from bounded domains by a hybrid approach withkinetic and macro features. Interactions at the micro-scale, which modify the velocity direction, are modeledby using tools of game theory and are transferred to thedynamics of collective behaviors. The velocity modulusis assumed to depend on the local density.The modeling approach considers dynamics caused by in-teractions of pedestrians not only with all the other pedes-trians, but also with the geometry of the domain, such aswalls and exits. Interactions with the boundary of the do-main are non-local and described by games.Numerical simulations are developed to study evacuationtime depending on the size of the exit zone, on the ini-tial distribution of the crowd and on a parameter whichweighs the unconscious attraction of the stream and thesearch for less crowded walking directions.