Multiscale analysis of collective motion and decision-making in swarms: An advection-diffusion equation with memory approach

Authored by Ioannis G Kevrekidis, Simon A Levin, M Raghib

Date Published: 2010

DOI: 10.1016/j.jtbi.2010.02.030

Sponsors: United States Defense Advanced Research Planning Agency (DARPA) United States National Science Foundation (NSF)

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

We propose a (time) multiscale method for the coarse-grained analysis of collective motion and decision-making in self-propelled particle models of swarms comprising a mixture of `naive' and `informed' individuals. The method is based on projecting the particle configuration onto a single `meta-particle' that consists of the elongation of the flock together with the mean group velocity and position. We find that the collective states can be associated with the transient and asymptotic transport properties of the random walk followed by the meta-particle, which we assume follows a continuous time random walk (CTRW). These properties can be accurately predicted at the macroscopic level by an advection-diffusion equation with memory (ADEM) whose parameters are obtained from a mean group velocity time series obtained from a single simulation run of the individual-based model. (C) 2010 Elsevier Ltd. All rights reserved,

Tags

Simulation behavior models Dynamics movement systems Animal groups Fish schools Transport