[PDF][PDF] Human behavioral crowds review, critical analysis and research perspectives

N Bellomo, J Liao, A Quaini, L Russo… - … Models and Methods in …, 2023 - researchgate.net
1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …

Towards a mathematical theory of behavioral human crowds

N Bellomo, L Gibelli, A Quaini, A Reali - Mathematical Models and …, 2022 - World Scientific
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …

Non-separable mean field games for pedestrian flow: Generalized hughes model

M Ghattassi, N Masmoudi - arXiv preprint arXiv:2310.04702, 2023 - arxiv.org
In this paper, we present a new generalized Hughes model designed to intelligently depict
pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or …

Differential games for crowd dynamics and applications

J Barreiro-Gomez, N Masmoudi - Mathematical Models and Methods …, 2023 - World Scientific
We study crowd dynamics by means of both non-atomic and atomic differential games,
which are also known as macroscopic and microscopic models, respectively; and we …

Simulating crowd behaviour combining both microscopic and macroscopic rules

RA Saeed, DR Recupero, P Remagnino - Information Sciences, 2022 - Elsevier
We propose a new method for simulating pedestrian crowd movement in a virtual
environment. A crowd consists of groups of different number of people with different …

An attempt to distinguish physical and socio-psychological influences on pedestrian bottleneck

J Rzezonka, M Chraibi, A Seyfried… - Royal Society …, 2022 - royalsocietypublishing.org
It has been realized that the distinction between social-psychological effects and physical
effects in pedestrian crowds is complex, and so the relevance of social psychology for the …

A numerical investigation of pedestrian dynamics based on rational behaviour in different density scenarios

PSA Salam, S Tiwari, A Klar, S Sundar - Physica A: Statistical Mechanics …, 2023 - Elsevier
In this work, we extend a microscopic rational behaviour pedestrian model and investigate it
and the related macroscopic model numerically. A coupling with an eikonal equation is …

Psychological pushing propagation in crowds—Does the observation of pushing behavior promote further intentional pushing?

H Lügering, A Alia, A Sieben - Frontiers in Social Psychology, 2023 - frontiersin.org
When large numbers of people come together (eg, at concerts or religious gatherings),
critical situations can arise easily. While physical factors such as crowd density play a role …

One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit

M Fischer, L Kanzler, C Schmeiser - SIAM Journal on Applied Mathematics, 2024 - SIAM
Repulsion between individuals within a finite radius is encountered in numerous
applications, including cell exclusion, ie, avoidance of overlapping cells, bird flocks, or …

Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems

A Tordeux, C Totzeck - arXiv preprint arXiv:2211.06503, 2022 - arxiv.org
Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling
approach for non-linear physical systems. Some studies have shown lately that PHS …