Work

Human behavioral crowds review, critical analysis and research perspectives

Year: 2023

Type: article

Abstract: This paper presents a survey and critical analysis of the mathematical literature on modeling and simulation of human crowds taking into account behavioral dynamics. The main focus is on research papers published after the review [N. Bellomo and C. Dogbè, On the modeling of traffic and crowds: A survey of models, speculations, and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research perspectives related to new, emerging trends. The presentation addresses the scaling problem corresponding to microscopic (individual-based), mesoscopic (kinetic), and macroscopic (hydrodynamic) modeling and analysis. A multiscale vision guides the overall content of the paper. The critical analysis of the overall content naturally leads to research perspectives. A selection of them is brought to the attention of the interested reader together with hints on how to deal with them.

Source: Mathematical Models and Methods in Applied Sciences

DOI: 10.1142/s0218202523500379

Authors: Nicola Bellomo, Jie Liao, Annalisa Quaini, Lucia Russo, Constantinos Siettos