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

JOURNAL OF THEORETICAL BIOLOGY

卷:264

Article

Raghib, M.^1,3  Levin, S. A.¹  Kevrekidis, I. G.^2,3 

[1] Princeton Univ, Dept Ecol & Evolut Biol, Princeton, NJ 08544 USA

[2] Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA

[3] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

关键词: Continuous time random walks;    Anomalous transport;    Collective animal behavior;    Non-Markovian stochastic processes;    Self-propelled particle models;    Non-Gaussian statistics;   

DOI  :  10.1016/j.jtbi.2010.02.030

来源: Elsevier

【 摘 要 】

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,

【 授权许可】

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