From behavioural analyses to models of collective motion in fish schools
Fish schooling is a phenomenon of long-lasting interest in ethology and ecology, widely
spread across taxa and ecological contexts, and has attracted much interest from statistical …
spread across taxa and ecological contexts, and has attracted much interest from statistical …
Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review
R Eftimie - Journal of mathematical biology, 2012 - Springer
We briefly review hyperbolic and kinetic models for self-organized biological aggregations
and traffic-like movement. We begin with the simplest models described by an advection …
and traffic-like movement. We begin with the simplest models described by an advection …
[LIVRE][B] Classical and relativistic rational extended thermodynamics of gases
T Ruggeri, M Sugiyama - 2021 - Springer
The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …
(RET) of gases in both classical and relativistic cases. The RET theory is a …
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
We present a simple proof on the formation of flocking to the Cucker-Smale system based on
the explicit construction of a Lyapunov functional. Our results also provide a unified …
the explicit construction of a Lyapunov functional. Our results also provide a unified …
From particle to kinetic and hydrodynamic descriptions of flocking
We discuss the Cucker-Smale's (CS) particle model for flocking, deriving precise conditions
for flocking to occur when pairwise interactions are sufficiently strong long range. We then …
for flocking to occur when pairwise interactions are sufficiently strong long range. We then …
A new model for self-organized dynamics and its flocking behavior
We introduce a model for self-organized dynamics which, we argue, addresses several
drawbacks of the celebrated Cucker-Smale (CS) model. The proposed model does not only …
drawbacks of the celebrated Cucker-Smale (CS) model. The proposed model does not only …
Particle, kinetic, and hydrodynamic models of swarming
We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …
interacting agents of similar size and body type, typically called swarming. Starting with …
Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
E Bertin, M Droz, G Grégoire - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
Considering a gas of self-propelled particles with binary interactions, we derive the
hydrodynamic equations governing the density and velocity fields from the microscopic …
hydrodynamic equations governing the density and velocity fields from the microscopic …
Continuum limit of self-driven particles with orientation interaction
The discrete Couzin–Vicsek algorithm (CVA), which describes the interactions of individuals
among animal societies such as fish schools is considered. In this paper, a kinetic (mean …
among animal societies such as fish schools is considered. In this paper, a kinetic (mean …
Swarming, schooling, milling: phase diagram of a data-driven fish school model
We determine the basic phase diagram of the fish school model derived from data by
Gautrais et al (2012 PLoS Comput. Biol. 8 e1002678), exploring its parameter space beyond …
Gautrais et al (2012 PLoS Comput. Biol. 8 e1002678), exploring its parameter space beyond …