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In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

Dynamical Systems · Mathematics 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

Predicting human trajectories is a challenging task due to the complexity of pedestrian behavior, which is influenced by external factors such as the scene's topology and interactions with other pedestrians. A special challenge arises from…

Physics and Society · Physics 2023-07-31 Raphael Korbmacher , Huu-Tu Dang , Antoine Tordeux

Walking is a fundamental activity of human life, not only for moving between places but also for interacting with surrounding environments. While walking to destinations, pedestrians may acquaint themselves with attractions such as…

Physics and Society · Physics 2017-11-22 Jaeyoung Kwak

When two pedestrians travelling in opposite directions approach one another, each must decide on which side (the left or the right) they will attempt to pass. If both make the same choice then passing can be completed with ease, while if…

Physics and Society · Physics 2016-05-19 Nickolas A. Morton , Shaun C. Hendy

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond

Pedestrians in crowds frequently move as part of small groups, constituting up to 70% of individuals. Dyads (groups of two) are the most frequent. Understanding quantitatively the dynamics of dyads walking in crowds is therefore an…

Physics and Society · Physics 2025-11-18 Chiel van der Laan , Alessandro Corbetta

This study presents an initial framework for distinguishing group and single pedestrians based on real-world trajectory data, with the aim of analyzing their differences in space utilization and emergent behavioral patterns. By segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Amartaivan Sanjjamts , Morita Hiroshi

Crowd movement simulation is crucial for pedestrian safety management and facility design. Data-driven models offer the potential to improve realism and predictive accuracy, but most are developed for a single scenario, limiting their…

Computers and Society · Computer Science 2026-05-20 Xuanwen Liang , Jiayu Chen , Eric Wai Ming Lee , Wei Xie

While human and group analysis have become an important area in last decades, some current and relevant applications involve to estimate future motion of pedestrians in real video sequences. This paper presents a method to provide motion…

Computer Vision and Pattern Recognition · Computer Science 2019-04-12 Cliceres dal Bianco , Soraia Raupp Musse

This article presents an interdisciplinary study of physical and social psychological effects on crowd dynamics based on a series of bottleneck experiments. Bottlenecks are of particular interest for applications such as crowd management…

Physics and Society · Physics 2020-07-14 Juliane Adrian , Armin Seyfried , Anna Sieben

This contribution provides a microscopic experimental study of pedestrian motion in front of the bottleneck. Identification of individual pedestrians in conducted experiments enables to explain the high variance of travel time by…

Physics and Society · Physics 2018-01-08 Marek Bukáček , Pavel Hrabák , Milan Krbálek

We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Julien Pettré , Guy Theraulaz

Pedestrian behavior has much more complicated characteristics in a dense crowd and thus attracts the widespread interest of scientists and engineers. However, even successful modeling approaches such as pedestrian models based on particle…

Multiagent Systems · Computer Science 2014-04-11 Qi Xu , Baohua Mao , Xujie Feng , Jia Feng

As the population of world is increasing, and even more concentrated in urban areas, ensuring public safety is becoming a taunting job for security personnel and crowd managers. Mass events like sports, festivals, concerts, political…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Sultan Daud Khan , Muhammad Saqib , Michael Blumenstein

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

Collective motion is an ubiquitous phenomenon in nature, inspiring engineers, physicists and mathematicians to develop mathematical models and bio-inspired designs. Collective motion at small to medium group sizes ($\sim$10-1000…

Machine Learning · Computer Science 2024-01-19 Utkarsh Pratiush , Arshed Nabeel , Vishwesha Guttal , Prathosh AP

Clogging raises as the principal phenomenon during many evacuation processes of pedestrians in a panic situation. As people push to escape from danger, compression forces may increase to harming levels. Many individuals might fall down,…

Physics and Society · Physics 2017-06-07 F. E. Cornes , G. A. Frank , C. O. Dorso

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation of the environment. However, modelling and controlling the…

Physics and Society · Physics 2025-11-17 Antoine Tordeux , Cécile Appert-Rolland , Alexandre Nicolas , Armin Seyfried , Denis Ullmo

Pedestrians adjust both speed and stride length when they navigate difficult situations such as tight corners or dense crowds. They try to avoid collisions and to preserve their personal space. State-of-the-art pedestrian motion models…

Physics and Society · Physics 2015-03-03 Isabella von Sivers , Gerta Köster
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