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Swarm intelligence is the collective behavior emerging in systems with locally interacting components. Because of their self-organization capabilities, swarm-based systems show essential properties for handling real-world problems such as…

Neural and Evolutionary Computing · Computer Science 2019-11-13 Marcos Oliveira , Diego Pinheiro , Mariana Macedo , Carmelo Bastos-Filho , Ronaldo Menezes

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular if there is a danger. Is such a behaviour…

Populations and Evolution · Quantitative Biology 2017-01-04 Usama Kadri , Franz Brümmer , Anan Kadri

This paper provides an overview and critical analysis on the modeling and applications of the dynamics of human crowds, where social interactions can have an important influence on the behavioral dynamics of the crowd viewed as a living,…

Physics and Society · Physics 2017-09-21 Nicola Bellomo , Livio Gibelli , Nisrine Outada

The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population survival or extinction using a stochastic, discrete…

Populations and Evolution · Quantitative Biology 2021-09-15 Yifei Li , Stuart T. Johnston , Pascal R. Buenzli , Peter van Heijster , Matthew J. Simpson

Bacteria are perhaps the simplest living systems capable of complex behaviour involving sensing and coherent, collective behaviour an example of which is the phenomena of swarming on agar surfaces. Two fundamental questions in bacterial…

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

Physics and Society · Physics 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi

The non-equilibrium spin dynamics of a one-dimensional system of repulsively interacting fermions is studied by means of density-matrix renormalization-group simulations. We focus on the short-time decay of the oscillation amplitudes of the…

Strongly Correlated Electrons · Physics 2012-06-20 Sebastiano Peotta , Davide Rossini , Pietro Silvi , G. Vignale , Rosario Fazio , Marco Polini

Theoretical models of populations and swarms typically start with the assumption that the motion of agents is governed by the local stimuli. However, an intelligent agent, with some understanding of the laws that govern its habitat, can…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Nathaniel Rupprecht , Dervis Can Vural

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

Statistical Mechanics · Physics 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

Soft Condensed Matter · Physics 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

Collective migration of cells and animals often relies on a specialised set of "leaders", whose role is to steer a population of naive followers towards some target. We formulate a continuous model to understand the dynamics and structure…

Populations and Evolution · Quantitative Biology 2021-02-10 Sara Bernardi , Raluca Eftimie , Kevin J. Painter

We investigate the competition between barrier slowing down and proliferation induced superdiffusion in a model of population dynamics in a random force field. Numerical results in $d=1$ suggest that a new intermediate diffusion behaviour…

Condensed Matter · Physics 2007-05-23 Irene Giardina , Jean-Philippe Bouchaud , Marc Mezard

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as…

Statistical Mechanics · Physics 2009-11-10 M. C. Gonzalez , H. J. Herrmann

Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion. We focus on the case where there is a balance between…

Analysis of PDEs · Mathematics 2018-03-12 José A. Carrillo , Aneta Wróblewska-Kamińska , Ewelina Zatorska

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

Analysis of PDEs · Mathematics 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

Bacteria organize in a variety of collective states, from swarming, which has been attributed to rapid surface exploration, to biofilms, which are highly dense immobile communities attributed to stress resistance. It has been suggested that…

In a laboratory experiment, round by round, individual interactions should lead to the social evolutionary rotation in population strategy state space. Successive switching the incentive parameter should lead to successive change of the…

Methodology · Statistics 2012-07-25 Zhijian Wang , Bin Xu