Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2012-02-27
Journal of Theoretical Biology 264, 893-913 (2010)
Biology
Quantitative Biology
Populations and Evolution
47 pages, 16 figures
Scientific paper
We propose a (time) multiscale method for the coarse-grained analysis of self--propelled particle models of swarms comprising a mixture of `na\"{i}ve' and `informed' individuals, used to address questions related to collective motion and collective decision--making in animal groups. The method is based on projecting the particle configuration onto a single `meta-particle' that consists of the group elongation and the mean group velocity and position. The collective states of the configuration can be associated with the transient and asymptotic transport properties of the random walk followed by the meta-particle. These properties can be accurately predicted 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.
Kevrekidis Ioannis G.
Levin Simon A.
Raghib Michael
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