Heterogeneous animal group models and their group-level alignment dynamics: an equation-free approach.

We study coarse-grained (group-level) alignment dynamics of individual-based animal group models for heterogeneous populations consisting of informed (on preferred directions) and uninformed individuals. The orientation of each individual is characterized by an angle, whose dynamics are nonlinearly coupled with those of all the other individuals, with an explicit dependence on the difference between the individual's orientation and the instantaneous average direction. Choosing convenient coarse-grained variables (suggested by uncertainty quantification methods) that account for rapidly developing correlations during initial transients, we perform efficient computations of coarse-grained steady states and their bifurcation analysis. We circumvent the derivation of coarse-grained governing equations, following an equation-free computational approach.

• Publication year

  2006

• Venue

  Journal of Theoretical Biology

• Publication date

  2006-06-16

• Fields of study

  Biology, Mathematics, Medicine

• Identifiers
  DOI 10.1016/J.JTBI.2006.12.018arXiv q-bio/0606021PMID 17258774
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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