Mathematics – Dynamical Systems
Scientific paper
2009-03-24
Journal of Mathematical Biology, 62 (2011), 569-588
Mathematics
Dynamical Systems
22 pages, 9 figures. Submitted. v1-v4: revised presentation; extended simulations; included technical results. v5: added a few
Scientific paper
This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules among individuals: each animal deploys itself depending on the position of a limited number of close group mates. The proposed model is shown to produce clustered formations, as well as lines and V-like formations. The key factors which trigger the onset of different patterns are argued to be the relative strength of attraction and repulsion forces and, most important, the anisotropy in their application.
Cristiani Emiliano
Frasca Paolo
Piccoli Benedetto
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