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To well understand crowd behavior, microscopic models have been developed in recent decades, in which an individual's behavioral/psychological status can be modeled and simulated. A well-known model is the social-force model innovated by…

Physics and Society · Physics 2026-05-29 Peng N. Wang

One of the most disastrous forms of collective human behaviour is the kind of crowd stampede induced by panic, often leading to fatalities as people are crushed or trampled. Sometimes this behaviour is triggered in life-threatening…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

The social force model which belongs to the microscopic pedestrian studies has been considered as the supremacy by many researchers and due to the main feature of reproducing the self-organized phenomena resulted from pedestrian dynamic.…

Information Theory · Computer Science 2010-08-03 Mohammed Mahmod Shuaib , Zarita Zainuddin , Ibtesam M Abu-Sulyman

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

Dense pedestrian crowds may pose significant safety risks, yet their underlying dynamics remain insufficiently understood to reliably prevent accidents. In these environments, physical interactions and contact forces fundamentally shape the…

Physics and Society · Physics 2025-05-12 Thomas Chatagnon , Antoine Tordeux , Mohcine Chraibi

A recent study [D. Helbing, A. Johansson and H. Z. Al-Abideen, {\it Phys. Rev. E} 75, 046109 (2007)] has revealed a "turbulent" state of pedestrian flows, which is characterized by sudden displacements and causes the falling and trampling…

Physics and Society · Physics 2009-11-13 Wenjian Yu , Anders Johansson

Simulation software used to produce results in cond-mat/0009448 -- published as Helbing et.al, Simulating Dynamical Features of Escape Panic, Nature 407, 487-490 (2000) -- has been made available via the website of the publication at…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Illes Farkas , Tamas Vicsek

This contribution describes efforts to model the behavior of individual pedestrians and their interactions in crowds, which generate certain kinds of self-organized patterns of motion. Moreover, this article focusses on the dynamics of…

Physics and Society · Physics 2013-09-09 Dirk Helbing , Anders Johansson

This extensive review was written for the ``Encyclopedia of Complexity and System Science'' (Springer, 2008) and addresses a broad audience ranging from engineers to applied mathematicians, computer scientists and physicists. It provides an…

This paper deals with the kinetic theory modeling of crowd dynamics with the aim of showing how the dynamics at the micro-scale is transferred to the dynamics of collective behaviors. The derivation of a new model is followed by a…

Mathematical Physics · Physics 2013-01-24 Nicola Bellomo , Abdelghani Bellouquid , Damian Knopoff

The study of citations in the scientific literature crosses the boundaries between the traditional branches of science and stands on its own as a most profitable research field dubbed the `science of science'. Although the understanding of…

Digital Libraries · Computer Science 2021-02-16 Sandro M. Reia , José F. Fontanari

This paper provides an overview and critical analysis on the modeling and applications of the dynamics of human crowds, where social interactions can have an important influence on the behavioral dynamics of the crowd viewed as a living,…

Physics and Society · Physics 2017-09-21 Nicola Bellomo , Livio Gibelli , Nisrine Outada

In this paper, we present a computational modeling approach for the dynamics of human crowds, where the spreading of an emotion (specifically fear) has an influence on the pedestrians' behavior. Our approach is based on the methods of the…

Physics and Society · Physics 2021-02-19 Daewa Kim , Kaylie O'Connell , William Ott , Annalisa Quaini

The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psychological processes which are still largely unknown. To model…

Physics and Society · Physics 2023-10-17 Thi Kim Thoa Thieu , Roderick Melnik

This article introduces a modeling framework to characterize evacuee response to environmental stimuli during emergency egress. The model is developed in consistency with stress theory, which explains how an organism reacts to environmental…

Physics and Society · Physics 2025-12-23 Peng N. Wang , Xiaoda Wang , Peter B. Luh , Christian Wilkie , Timo Korhonen , Neal Olderman

Understanding the collective dynamics of crowd movements during stressful emergency situations is central to reducing the risk of deadly crowd disasters. Yet, their systematic experimental study remains a challenging open problem due to…

The collection of active agents often exhibits intriguing statistical and dynamical properties, particularly when considering human crowds. In this study, we have developed a computational model to simulate the recent experiment on real…

Statistical Mechanics · Physics 2025-01-07 Pratikshya Jena , Shradha Mishra

Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

Other Quantitative Biology · Quantitative Biology 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

Quantitatively modeling the trajectories and behavior of pedestrians walking in crowds is an outstanding fundamental challenge deeply connected with the physics of flowing active matter, from a scientific point of view, and having societal…

Physics and Society · Physics 2020-11-05 Alessandro Corbetta , Lars Schilders , Federico Toschi

We consider a kinetic theory approach to model the evacuation of a crowd from bounded domains. The interactions of a person with other pedestrians and the environment, which includes walls, exits, and obstacles, are modeled by using tools…

Numerical Analysis · Mathematics 2019-06-17 Daewa Kim , Annalisa Quaini
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