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The present paper features results on global survival and extinction of an infection in a multi-layer network of mobile agents. Expanding on a model first presented in [CHJW22], we consider an urban environment, represented by line-segments…

Probability · Mathematics 2022-11-11 Elie Cali , Alexander Hinsen , Benedikt Jahnel , Jean-Philippe Wary

The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: We first define a spontaneous velocity which corresponds to the velocity each individual…

Numerical Analysis · Mathematics 2009-01-09 Bertrand Maury , Juliette Venel

Interacting individuals in complex systems often give rise to coherent motion exhibiting coordinated global structures. Such phenomena are ubiquitously observed in nature, from cell migration, bacterial swarms, animal and insect groups, and…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Dongjo Kim , Jeongsu Lee , Ho-Young Kim

Self-organization of a biologically motivated swarm into smaller subgroups of different velocities is found by solving a 1-dimensional adaptive-velocity swarm, in which the velocity of an agent is averaged over a finite local radius of…

Adaptation and Self-Organizing Systems · Physics 2013-09-13 Jiangning Chen , Weituo Zhang , Chjan C. Lim

This study introduces a unique active matter system as an application of the pedestrian collision avoidance paradigm, that proposes dynamically adjusting the desired velocity. We present a fictitious human-zombie scenario set within a…

Physics and Society · Physics 2023-12-29 Juan P. Oriana , German A. Patterson , Daniel R. Parisi

We address density control problems for large-scale multi-agent systems in leader-follower settings, where a group of controllable leaders must steer a population of followers toward a desired spatial distribution. Unlike prior work, we…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo

In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically characterized by their position and velocity plus a…

Mathematical Physics · Physics 2024-09-30 Emiliano Cristiani , Nadia Loy , Marta Menci , Andrea Tosin

We address the problem of controlling the density of a large ensemble of follower agents by acting on a group of leader agents that interact with them. Using coupled partial integro-differential equations to describe leader and follower…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Gian Carlo Maffettone , Alain Boldini , Maurizio Porfiri , Mario di Bernardo

This paper introduces an improved social force model for companion group that incorporates relative weight attraction. Based on the traditional social force model, the interaction forces among individuals within leader-follower groups are…

Physics and Society · Physics 2025-09-22 Lihui Dong , Yingshuang He , Yunfeng Deng , Qiuyu Zheng , Tianming Wang

This paper considers a group of mobile autonomous agents moving in Euclidean space with point mass dynamics. We introduce a set of coordination control laws that enable the group to generate the desired stable flocking motion. The control…

Statistics Theory · Mathematics 2007-06-13 Long Wang

We study the dynamics of interacting agents from two distinct inter-mixed populations: One population includes active agents that follow a predetermined velocity field, while the second population contains exclusively passive agents, i.e.…

Numerical Analysis · Mathematics 2018-06-07 Matteo Colangeli , Adrian Muntean , Omar Richardson , Thoa Thieu

In collective motion, perceptually-limited individuals move in an ordered manner, without centralized control. The perception of each individual is highly localized, as is its ability to interact with others. While natural collective motion…

Robotics · Computer Science 2025-12-30 Peleg Shefi , Amir Ayali , Gal A. Kaminka

This paper studies the problem of multi-agent trajectory prediction in crowded unknown environments. A novel energy function optimization-based framework is proposed to generate prediction trajectories. Firstly, a new energy function is…

Robotics · Computer Science 2024-07-15 Xiuye Tao , Huiping Li , Bin Liang , Yang Shi , Demin Xu

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

Robotics · Computer Science 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules among individuals: each animal deploys itself depending on the…

Dynamical Systems · Mathematics 2011-03-18 Emiliano Cristiani , Paolo Frasca , Benedetto Piccoli

We study a nonhierarchical tritrophic system, whose predator-prey interactions are described by the rock-paper-scissors game rules. In our stochastic simulations, individuals may move strategically towards the direction with more…

Populations and Evolution · Quantitative Biology 2022-03-02 J. Menezes , E. Rangel , B. Moura

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

Our current research lays emphasis on the extended pedestrian perception and copes with both the dynamic group behavior and the individual evaluation of situations, and hence, rather focuses on the tactical level of movement behavior.…

Physics and Society · Physics 2021-04-01 Michael Schultz , Lars Rößger , Hartmut Fricke , Bernhard Schlag

A series of accidents caused by crowd within the last decades evoked a lot of scientific interest in modeling the movement of pedestrian crowds. Based on discrete element method, a granular dynamic model, in which human body is simplified…

Physics and Society · Physics 2016-01-19 Peng Lin , Jian Ma , Siuming Lo

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef