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The remarkable cohesion and coordination observed in moving animal groups and their collective responsiveness to threats are thought to be mediated by scale-free correlations, where changes in the behavior of one animal influence others in…

Biological Physics · Physics 2025-06-05 Haotian Hang , Chenchen Huang , Alex Barnett , Eva Kanso

In recent years it has become evident the need of understanding how failure of coordination imposes constraints on the size of stable groups that highly social mammals can live in. We examine here the forces that keep animals together as a…

Physics and Society · Physics 2026-03-09 Laura P. Schaposnik , Sheryl Hsu , Robin I. M. Dunbar

We experimentally investigate the role of illumination on the collective dynamics of a large school (ca. 50 individuals) of Hemigrammus rhodostomus. The structure of the group, defined using two order parameters, is quantified while…

Adaptation and Self-Organizing Systems · Physics 2023-01-24 Baptiste Lafoux , Jeanne Moscatelli , Ramiro Godoy-Diana , Benjamin Thiria

A class of stochastic individual-based models, written in terms of coupled velocity jump processes, is presented and analysed. This modelling approach incorporates recent experimental findings on behaviour of locusts. It exhibits nontrivial…

Analysis of PDEs · Mathematics 2011-04-14 Radek Erban , Jan Haskovec

Collective motion is commonly modeled with simple interaction rules between agents. Yet in nature, numerous observables vary within and between individuals and it remains largely unknown how animals respond to this variability, and how much…

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

Analysis of PDEs · Mathematics 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting…

Physics and Society · Physics 2017-02-13 Francesco Zanlungo , Zeynep Yucel , Takayuki Kanda

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

Systems and Control · Computer Science 2018-10-30 J. J. P. Veerman

Most of us must have been fascinated by the eye catching displays of collectively moving animals. Schools of fish can move in a rather orderly fashion and then change direction amazingly abruptly. There are a huge number of further examples…

Biological Physics · Physics 2011-01-13 K. Bhattacharya , Tamás Vicsek

Group dynamic movement is a fundamental aspect of many species' movements. The need to adequately model individuals' interactions with other group members has been recognised, particularly in order to differentiate the role of social forces…

We introduce a model, based on the Evolutionary Game Theory, for studying the dynamics of group formation. The latter constitutes a relevant phenomenon observed in different animal species, whose individuals tend to cluster together forming…

Populations and Evolution · Quantitative Biology 2018-02-07 Marco Alberto Javarone , Daniele Marinazzo

Individual migration has been regarded as an important factor for the evolution of cooperation in mobile populations. Motivations of migration, however, can be largely divergent: one is highly frustrated by the vicinity of an exploiter or…

Physics and Society · Physics 2020-05-20 Zhilong Xiao , Xiaojie Chen , Attila Szolnoki

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

Other Condensed Matter · Physics 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

We introduce a model of multi-agent dynamics for self-organised motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbours. The body attitudes are represented through unitary…

Mathematical Physics · Physics 2017-06-21 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases

Humans exhibit a remarkable capacity for anticipating the actions of others and planning their own actions accordingly. In this study, we strive to replicate this ability by addressing the social motion prediction problem. We introduce a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 Wentao Zhu , Jason Qin , Yuke Lou , Hang Ye , Xiaoxuan Ma , Hai Ci , Yizhou Wang

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

Living in groups brings benefits to many animals, such as a protection against predators and an improved capacity for sensing and making decisions while searching for resources in uncertain environments. A body of studies has shown how…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea Falcón-Cortés , Denis Boyer , Gabriel Ramos-Fernández

For animals living in groups, one of the important questions is to understand what are the decision-making mechanisms that lead to choosing a motion direction or leaving an area while preserving group cohesion. Here, we analyse the…

Populations and Evolution · Quantitative Biology 2017-05-09 Bertrand Collignon , Axel Séguret , Yohann Chemtob , Leo Cazenille , José Halloy

Previous human foraging experiments have shown that human groups routinely undermatch environmental resources much like other animal species. In this experiment, we test whether humans also selectively rely on others as information sources…

Social and Information Networks · Computer Science 2012-04-18 Michael E. Roberts , Sam Cheesman , Patrick McMullen

Classic computational models of collective motion suggest that simple local averaging rules can promote many observed group level patterns. Recent studies, however, suggest that rules simpler than local averaging may be at play in real…

Adaptation and Self-Organizing Systems · Physics 2022-05-19 Vivek Jadhav , Vishwesha Guttal , Danny Raj M