期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 264, 期 3, 页码 893-913出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2010.02.030
关键词
Continuous time random walks; Anomalous transport; Collective animal behavior; Non-Markovian stochastic processes; Self-propelled particle models; Non-Gaussian statistics
资金
- National Science Foundation [EF-0434319]
- DARPA [HR001-05-1-0057]
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,
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