2006/06/16 by Sung Joon Moon, B. Nabet, Moon, Sung Joon +10 · 1 citation
Biochemistry, Genetics and Molecular Biology · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Populations and Evolution (q-bio.PE) #Quantitative Methods (q-bio.QM) #q-bio.PE #q-bio.QM
paper · pdf · doi:10.48550/arxiv.q-bio/0606021
final form; accepted for publication in Journal of Theoretical Biology
openalex publication_date 2006/06/16 · arxiv created 2006/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study coarse-grained (group-level) alignment dynamics of individual-based animal group models for \it 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.