Behavioral crowds: Modeling and Monte Carlo simulations toward validation

Abstract A mesoscopic model of behavioral crowds is developed within the framework of the kinetic theory for active particles. An analytic long-time equilibrium solution is obtained which gives a fundamental density-velocity diagram consistent with the empirical evidence. Numerical simulations based on a Monte Carlo particle method show that the proposed model has the capability to qualitatively depict emerging behaviors and to provide a realistic description of the crowd dynamics in complex evacuation scenarios.

[1]  B. Piccoli,et al.  Multiscale Modeling of Pedestrian Dynamics , 2014 .

[2]  N. Bellomo,et al.  On the multiscale modeling of vehicular traffic: From kinetic to hydrodynamics , 2014 .

[3]  N. Bellomo,et al.  ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS , 2008 .

[4]  Armin Seyfried,et al.  The Fundamental Diagram of Pedestrian Movement Revisited — Empirical Results and Modelling , 2007 .

[5]  Dirk Helbing,et al.  Dynamics of crowd disasters: an empirical study. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  L. Fermo,et al.  Fundamental diagrams for kinetic equations of traffic flow , 2013, 1305.4463.

[7]  Nicola Bellomo,et al.  Macroscopic first order models of multicomponent human crowds with behavioral dynamics , 2016 .

[8]  Nicola Bellomo,et al.  On multiscale models of pedestrian crowds from mesoscopic to macroscopic , 2015 .

[9]  Nicola Bellomo,et al.  On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives , 2011, SIAM Rev..

[10]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[11]  R. Hughes.  The flow of human crowds , 2003 .

[12]  Andreas Schadschneider,et al.  Evacuation Dynamics: Empirical Results, Modeling and Applications , 2008, Encyclopedia of Complexity and Systems Science.

[13]  Nicola Bellomo,et al.  Toward a Mathematical Theory of Behavioral-Social Dynamics for Pedestrian Crowds , 2014, 1411.0907.

[14]  Juan Soler,et al.  ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES , 2013 .

[15]  G. Bird.  Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .

[16]  G. P. Ghiroldi,et al.  DSMC simulation of rarefied gas mixtures flows driven by arrays of absorbing plates , 2014 .

[17]  Andreas Schadschneider,et al.  Empirical results for pedestrian dynamics and their implications for modeling , 2011, Networks Heterog. Media.

[18]  D. Burini,et al.  Collective learning modeling based on the kinetic theory of active particles. , 2016, Physics of life reviews.

[19]  V. Coscia,et al.  FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS , 2008 .

[20]  Katsuya Yamori.  Going with the flow : Micro-macro dynamics in the macrobehavioral patterns of pedestrian crowds , 1998 .

[21]  Axel Klar,et al.  COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION , 2014 .

[22]  W. Wagner,et al.  A Stochastic Weighted Particle Method for the Boltzmann Equation , 1996 .

[23]  G. P. Ghiroldi,et al.  Rarefied gas mixtures flows driven by surface absorption , 2012 .

[24]  Nicola Bellomo,et al.  From the Microscale to Collective Crowd Dynamics , 2013, Multiscale Model. Simul..