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The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

Soft Condensed Matter · Physics 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

We consider the problem of extracting accurate average ant trajectories from many (possibly inaccurate) input trajectories contributed by citizen scientists. Although there are many generic software tools for motion tracking and specific…

Computational Geometry · Computer Science 2014-05-16 Livio De La Cruz , Stephen Kobourov , Sergey Pupyrev , Paul Shen , Sankar Veeramoni

Single-file dynamics has been studied intensively, both experimentally and theoretically. It shows interesting collective effects, such as stop-and-go waves, which are validation cornerstones for any agent-based modeling approach of traffic…

Physics and Society · Physics 2023-08-16 Jakob Cordes , Mohcine Chraibi , Antoine Tordeux , Andreas Schadschneider

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

The ants process is a stochastic process introduced by Kious, Mailler and Schapira as a model for the phenomenon of ants finding shortest paths between their nest and a source of food (seen as two marked nodes in a finite graph), with no…

Probability · Mathematics 2026-02-02 Cécile Mailler , Zoé Varin

Discrete pedestrian simulation models are viable alternatives to particle based approaches based on a continuous spatial representation. The effects of discretisation, however, also imply some difficulties in modelling certain phenomena…

Multiagent Systems · Computer Science 2014-02-03 Stefania Bandini , Luca Crociani , Giuseppe Vizzari

We introduce a simulation environment to facilitate research into emergent collective behaviour, with a focus on replicating the dynamics of ant colonies. By leveraging real-world data, the environment simulates a target ant trail that a…

Multiagent Systems · Computer Science 2024-10-22 Michael Crosscombe , Ilya Horiguchi , Norihiro Maruyama , Shigeto Dobata , Takashi Ikegami

This paper presents RANT, an ant-inspired multi-robot exploration framework for noisy, uncertain environments. A team of differential-drive robots navigates a 10 x 10 m terrain, collects noisy probe measurements of a hidden richness field,…

Robotics · Computer Science 2026-02-11 Ameer Alhashemi , Layan Abdulhadi , Karam Abuodeh , Tala Baghdadi , Suryanarayana Datla

We consider a mechanical system of three ants on the floor, which move according to two independt rules: Rule A - forces the velocity of any given ant to always point at a neighboring ant, and Rule B - forces the velocity of every ant to be…

Differential Geometry · Mathematics 2023-03-21 Andrei Agrachev , Pawel Nurowski

The aim of our study is to describe the dynamics of ant battles, with reference to laboratory experiments, by means of a chemical stochastic model. We focus on ants behavior as an interesting topic in order to predict the ecological…

Populations and Evolution · Quantitative Biology 2016-05-09 Alisa Santarlasci , Gianluca Martelloni , Filippo Frizzi , Giacomo Santini , Franco Bagnoli

We investigated the emerging traffic patterns of Argentine ants (Linepithema humile) as they navigated a narrow bridge between their nest and a food source. By tracking ant movements in experiments with varying bridge widths and colony…

Populations and Evolution · Quantitative Biology 2024-12-10 Ulrich Dobramysl , Simon Garnier , Laure-Anne Poissonnier , Audrey Dussutour , Maria Bruna

In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

We study the pedestrian escape from an obscure corridor using a lattice gas model with two species of particles. One species, called passive, performs a symmetric random walk on the lattice, whereas the second species, called active, is…

Physics and Society · Physics 2019-07-23 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu

A few of ant robots are dropped to a labirynth, formed by a square lattice with a small number of nodes removed. Ants move according to a deterministic algorithm designed to explore all corridors. Each ant remembers the shape of corridors…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Janusz Malinowski , Krzysztof Kułakowski

It is well-known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of communication other than the pheromones they leave behind them. This striking…

Probability · Mathematics 2020-10-13 Daniel Kious , Cécile Mailler , Bruno Schapira

Collective animal movement fascinates children and scientists alike. One of the most commonly given explanations for collective animal movement is improved foraging. Animals are hypothesized to gain from searching for food in groups. Here,…

Multiagent Systems · Computer Science 2019-04-08 Ravid Cohen , Yossi Yovel , Dan Halperin

The behavior of pedestrians shows certain regularities, which can be described by quantitative (partly stochastic) models. The models are based on the behavior of individual pedestrians, which depends on the pedestrian intentions and on the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Pheromones are a chemical substance produced and released by ants as means of communication. In this work we present the minimum amount of pheromones necessary and sufficient for a colony of ants (identical mobile agents) to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-06 Yehuda Afek , Roman Kecher , Moshe Sulamy

The movement of organisms is subject to a multitude of influences of widely varying character: from the bio-mechanics of the individual, over the interaction with the complex environment many animals live in, to evolutionary pressure and…

Biological Physics · Physics 2013-07-18 Friedrich Lenz , Aleksei V. Chechkin , Rainer Klages
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