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Crowd flow describes the elementary group behavior of crowds. Understanding the dynamics behind these movements can help to identify various abnormalities in crowds. However, developing a crowd model describing these flows is a challenging…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Shreetam Behera , Debi Prosad Dogra , Malay Kumar Bandyopadhyay , Partha Pratim Roy

There are different physics-based approaches for analysing pedestrian movement. Physics-based methods like statistical mechanics-based models apply the laws of physics to drive equations for analysing crowd behaviour. This paper will…

Physics and Society · Physics 2022-11-15 Amir Ghorbani

Understanding pedestrian dynamics is critical for mitigating crowd-related risks and improving public safety. In this work, we propose a data-driven mesoscopic modeling framework that combines the kinetic theory of active particles with…

Physics and Society · Physics 2026-05-29 Santiago Rosa , Manuel Pulido , Orlando Billoni , Juan Martín Guerrieri , Juan Pablo Agnelli

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

In human crowds as well as in many animal societies, local interactions among individuals often give rise to self-organized collective organizations that offer functional benefits to the group. For instance, flows of pedestrians moving in…

Modeling of phenomena such as anomalous transport via fractional-order differential equations has been established as an effective alternative to partial differential equations, due to the inherent ability to describe large-scale behavior…

Analysis of PDEs · Mathematics 2021-10-25 Jorge Suzuki , Mamikon Gulian , Mohsen Zayernouri , Marta D'Elia

This paper presents a modeling process in order to produce a realistic simulation of crowds in the ancient Greek agora of Argos. This place was a social theater in which two kinds of collective phenomena took place: interpersonal…

Graphics · Computer Science 2010-05-31 Laure Heïgeas , Annie Luciani , Joëlle Thollot , Nicolas Castagné

This paper develops the basic analytical theory related to some recently introduced crowd dynamics models. Where well posedness was known only locally in time, it is here extended to all of $\reali^+$. The results on the stability with…

Analysis of PDEs · Mathematics 2011-10-18 Rinaldo M. Colombo , Magali Lécureux-Mercier

This paper introduces a spatially continuous force-based model for simulating pedestrian dynamics. The main intention of this work is the quantitative description of pedestrian movement through bottlenecks and in corridors. Measurements of…

Physics and Society · Physics 2009-12-22 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider , Wolfgang Mackens

We analyze numerically two macroscopic models of crowd dynamics: the classical Hughes model and the second order model being an extension to pedestrian motion of the Payne-Whitham vehicular traffic model. The desired direction of motion is…

Numerical Analysis · Mathematics 2014-02-17 Monika Twarogowska , Paola Goatin , Regis Duvigneau

Mapping people dynamics is a crucial skill for robots, because it enables them to coexist in human-inhabited environments. However, learning a model of people dynamics is a time consuming process which requires observation of large amount…

Robotics · Computer Science 2025-01-09 Francesco Verdoja , Tomasz Piotr Kucner , Ville Kyrki

Large crowds exhibit intricate behaviors and significant emergent properties, yet existing crowd simulation systems often lack behavioral diversity, resulting in homogeneous simulation outcomes. To address this limitation, we propose…

Multiagent Systems · Computer Science 2024-09-25 Yihao Li , Junyu Liu , Xiaoyu Guan , Hanming Hou , Tianyu Huang

Understanding the movement behaviours of individuals and the way they react to the external world is a key component of any problem that involves the modelling of human dynamics at a physical level. In particular, it is crucial to capture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Gabriele Galatolo , Mirco Nanni

Traditional rule-based physical models are limited by their reliance on singular physical formulas and parameters, making it difficult to effectively tackle the intricate tasks associated with crowd simulation. Recent research has…

Artificial Intelligence · Computer Science 2024-10-22 Runkang Guo , Bin Chen , Qi Zhang , Yong Zhao , Xiao Wang , Zhengqiu Zhu

In this paper, we apply recent findings from urban scaling theory to evaluate how it could be applied to a one-dimensional archetypal city. Our focus is on how the simplicity of a one-dimensional model can provide intuitive insights that…

Physics and Society · Physics 2025-01-23 Fabiano L. Ribeiro , Renan L. Fagundes , Diego Rybski

Forecasting the trajectory of pedestrians in shared urban traffic environments is still considered one of the challenging problems facing the development of autonomous vehicles (AVs). In the literature, this problem is often tackled using…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Khaled Saleh

The Social Force Model (SFM) is a suitable model for describing crowd behaviors under emotional stress. This research analyzes the role of the body force in the original SFM. We focused on the parameter associated with the body stiffness…

Physics and Society · Physics 2020-03-09 Ignacio Sticco , Guillermo Frank , Claudio Dorso

Modeling the dynamics of people walking is a problem of long-standing interest in computer vision. Many previous works involving pedestrian trajectory prediction define a particular set of individual actions to implicitly model group…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Inhwan Bae , Jin-Hwi Park , Hae-Gon Jeon

We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians are supposed to have constant speeds. This IBM supposes that…

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