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Related papers: Modelling Crowd Dynamics: a Multiscale, Measure-th…

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This study enhances a crowd density estimation algorithm originally designed for image-based analysis by adapting it for video-based scenarios. The proposed method integrates a denoising probabilistic model that utilizes diffusion processes…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Balachandra Devarangadi Sunil , Rakshith Venkatesh , Shantanu Todmal

This paper deals with the derivation of a collective model of cell populations out of an individual-based description of the underlying physical particle system. By looking at the spatial distribution of cells in terms of time-evolving…

Mathematical Physics · Physics 2014-11-12 Annachiara Colombi , Marco Scianna , Andrea Tosin

We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume…

Optimization and Control · Mathematics 2020-11-10 Roland Herzog , Jan-Frederik Pietschmann , Max Winkler

We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a…

Analysis of PDEs · Mathematics 2011-04-21 Rinaldo M. Colombo , Mauro Garavello , Magali Lécureux-Mercier

Nonreciprocal interaction crowd systems, such as human-human, human-vehicle, and human-robot systems, often have serious impacts on pedestrian safety and social order. A more comprehensive understanding of these systems is needed to…

Physics and Society · Physics 2024-04-03 Shaocong Xie , Rui Ye , Xiaolian Li , Zhongyi Huang , Shuchao Cao , Wei Lv , Hong He , Ping Zhang , Zhiming Fang , Jun Zhang , Weiguo Song

Orderliness, reflected via mathematical laws, is encountered in different frameworks involving social groups. Here we show that a thermodynamics can be constructed that macroscopically describes urban population flows. Microscopic dynamic…

Physics and Society · Physics 2015-04-30 A. Hernando , A. Plastino

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

We present modeling strategies that describe the motion and interaction of groups of pedestrians in obscured spaces. We start off with an approach based on balance equations in terms of measures and then we exploit the descriptive power of…

Physics and Society · Physics 2018-09-06 A. Ciallella , E. N. M. Cirillo , P. L. Curseu , A. Muntean

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

It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar

In this paper we investigate numerically the model for pedestrian traffic proposed in [B.Andreianov, C.Donadello, M.D.Rosini, Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Mathematical Models and Methods…

Numerical Analysis · Mathematics 2015-03-11 Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano Daniele Rosini

Collectiveness motions of crowd systems have attracted a great deal of attentions in recently years. In this paper, we try to measure the collectiveness of a crowd system by the proposed node clique learning method. The proposed method is a…

Computer Vision and Pattern Recognition · Computer Science 2016-12-20 Weiya Ren

Understanding human mobility from a microscopic point of view may represent a fundamental breakthrough for the development of a statistical physics for cognitive systems and it can shed light on the applicability of macroscopic statistical…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Mirko Degli Esposti , Sandro Rambaldi

The availability of new data sources on human mobility is opening new avenues for investigating the interplay of social networks, human mobility and dynamical processes such as epidemic spreading. Here we analyze data on the time-resolved…

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

In this paper, we investigate disparities in pedestrian crossing behaviors within static and dynamic crowds through experimental analysis. First, qualitative trajectory observations revealed significant behavioral differences in static and…

Physics and Society · Physics 2025-06-19 Jinghui Wang , Yajuan Jiang , Xiaoying Zhang , Fangwei Deng , Wei Lv

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 study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

The study of crowd dynamics is interesting because of the various self-organization phenomena resulting from the interactions of many pedestrians, which may improve or obstruct their flow. Besides formation of lanes of uniform walking…

Physics and Society · Physics 2008-10-28 Anders Johansson , Dirk Helbing , Habib Z. Al-Abideen , Salim Al-Bosta

Different families of models first developed for fluid mechanics have been extended to road, pedestrian, or intracellular transport. These models allow to describe the systems at different scales and to account for different aspects of…

Physics and Society · Physics 2017-09-20 Cecile Appert-Rolland