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We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromones and interact with them through alignment interaction. The directed pheromones intend to model…

Quantitative Methods · Quantitative Biology 2014-04-08 Emmanuel Boissard , Pierre Degond , Sébastien Motsch

Colonies of ants are systems of interacting living organisms in which interactions between individuals and their environment can produce a reliable performance of a complex tasks without the need for centralised control. Particularly…

Biological Physics · Physics 2015-08-28 Miriam Malíčková , Christian Yates , Katarína Boďová

We propose and numerically analyze a PDE model of ant foraging behavior. Ant foraging is a prime example of individuals following simple behavioral rules based on local information producing complex, organized and ``intelligent'' strategies…

Analysis of PDEs · Mathematics 2014-02-25 Paulo Amorim

Ant raiding, the process of identifying and returning food to the nest or bivouac, is a fascinating example of collective motion in nature. During such raids ants lay pheromones to form trails for others to find a food source. In this work…

Adaptation and Self-Organizing Systems · Physics 2015-08-18 Shawn D. Ryan

Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground, while pedestrians also try to follow others in a crowd for…

Statistical Mechanics · Physics 2009-11-13 Katsuhiro Nishinari , Ken Sugawara , Toshiya Kazama , Andreas Schadschneider , Debashish Chowdhury

We studied the formation of trail patterns by Argentine ants exploring an empty arena. Using a novel imaging and analysis technique we estimated pheromone concentrations at all spatial positions in the experimental arena and at different…

Other Quantitative Biology · Quantitative Biology 2018-09-05 Andrea Perna , Boris Granovskiy , Simon Garnier , Stamatios Nicolis , Marjorie Labédan , Guy Theraulaz , Vincent Fourcassié , David Sumpter

Collective behavior of active elements inspired by mass of biological organisms is addressed. Especially, two topics are focused on among amazing behaviors performed by colony of ants. First, task allocation phenomena are treated from the…

Populations and Evolution · Quantitative Biology 2007-05-23 T. Mizuguchi , K. Sugawara , H. Nishimori , T. Tao , T. Kazama , H. Nakagawa , Y. Hayakawa , M. Sano

A model of an Ant System where ants are controlled by a spiking neural circuit and a second order pheromone mechanism in a foraging task is presented. A neural circuit is trained for individual ants and subsequently the ants are exposed to…

Neural and Evolutionary Computing · Computer Science 2015-09-21 Cristian Jimenez-Romero , David Sousa-Rodrigues , Jeffrey H. Johnson , Vitorino Ramos

We consider a continuous mathematical description of a population of ants and simulate numerically their foraging behavior using a system of partial differential equations of chemotaxis type. We show that this system accurately reproduces…

Adaptation and Self-Organizing Systems · Physics 2015-10-26 Paulo Amorim

We study the formation of trails in populations of self-propelled agents that make oriented deposits of pheromones and also sense such deposits to which they then respond with gradual changes of their direction of motion. Based on extensive…

Soft Condensed Matter · Physics 2022-02-04 Zahra Mokhtari , Robert I. A. Patterson , Felix Höfling

Active walker models have recently proved their great value for describing the formation of clusters, periodic patterns, and spiral waves as well as the development of rivers, dielectric breakdown patterns, and many other structures. It is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Frank Schweitzer , Joachim Keltsch , Peter Molnar

Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the switching between these types of particles occurs randomly at…

Statistical Mechanics · Physics 2024-05-14 Ayana Ezoe , Saori Morimoto , Yuya Tanaka , Makoto Katori , Hiraku Nishimori

We propose a physical framework for ant navigation of chemical trails. For this, we use controlled experiments in which individuals follow narrow pheromone trails, for which ants display oscillatory motion, as previously reported in the…

Biological Physics · Physics 2026-02-03 Rosa Flaquer-Galmés , Daniel Campos , Javier Cristín

A recently proposed stochastic cellular automaton model ({\it J. Phys. A 35, L573 (2002)}), motivated by the motions of ants in a trail, is investigated in detail in this paper. The flux of ants in this model is sensitive to the probability…

Statistical Mechanics · Physics 2016-08-31 Katsuhiro Nishinari , Debashish Chowdhury , Andreas Schadschneider

In this study, we synthesize a novel dynamical approach for ant colonies enabling them to migrate to new nest sites in a self-organizing fashion. In other words, we realize ant colony migration as a self-organizing phenotype-level…

Robotics · Computer Science 2022-10-11 Matin Macktoobian

We investigate an interacting particle model to simulate a foraging colony of ants, where each ant is represented as an active Brownian particle. The interactions among ants are mediated through chemotaxis, aligning their orientations with…

Analysis of PDEs · Mathematics 2024-09-10 Maria Bruna , Martin Burger , Oscar de Wit

Local interactions, when individuals meet, can regulate collective behavior. In a system without any central control, the rate of interaction may depend simply on how the individuals move around. But interactions could in turn influence…

Biological Physics · Physics 2017-10-05 Jacob D. Davidson , Deborah M. Gordon

Ants have evolved to seek and retrieve food by leaving trails of pheromones. This mechanism has inspired several approaches to decentralized multi-robot coordination. However, in this paper, we show that pheromone trails are a fragile…

Multiagent Systems · Computer Science 2022-03-30 Ashay Aswale , Antonio Lopez , Aukkawut Ammartayakun , Carlo Pinciroli

Macroscopic changes of group behavior of eusocial insects are studied from the viewpoint of non-equilibrium phase transitions. Recent combined study of experiments and mathematical modeling by the group led by the third author suggests that…

Statistical Mechanics · Physics 2025-02-14 Saori Morimoto , Makoto Katori , Hiraku Nishimori

Social insects such as ants communicate via pheromones which allows them to coordinate their activity and solve complex tasks as a swarm, e.g. foraging for food. This behavior was shaped through evolutionary processes. In computational…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Cristian Jimenez Romero , Alper Yegenoglu , Aarón Pérez Martín , Sandra Diaz-Pier , Abigail Morrison
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