MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT

Nicola Bellomo · Benedetto Piccoli · Andrea Tosin

167 citations0/0 files storedMathematical Models and Methods in Applied Sciences

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Evacuation and Crowd Dynamics Complex Systems and Dynamics Complex Systems and Time Series Analysis

Abstract

This paper aims at indicating research perspectives on the mathematical modeling of crowd dynamics, pointing on the one hand to insights into the complexity features of pedestrian flows and on the other hand to a critical overview of the most popular modeling approaches currently adopted in the specialized literature. Particularly, the focus is on scaling problems, namely representation and modeling at microscopic, macroscopic, and mesoscopic scales, which, entangled with the complexity issues of living systems, generate multiscale dynamical effects, such as e.g. self-organization. Mathematical structures suitable to approach such multiscale aspects are proposed, along with a forward look at research developments.

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References

1995Social force model for pedestrian dynamics 2007Dynamics of crowd disasters: An empirical study 2002Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics 2002T HE F LOW OF H UMAN C ROWDS 2009Experimental study of the behavioural mechanisms underlying self-organization in human crowds 2011On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives 1974On the fluid mechanics of human crowd motion 1991A mathematical model for the behavior of pedestrians

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2013State-of-the-art crowd motion simulation models 2016A review of optimisation models for pedestrian evacuation and design problems 2022Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-Based Approaches 2017Social force models for pedestrian traffic – state of the art 2015Crowd behavior analysis: A review where physics meets biology 2016

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