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

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dc.creatorMoon, Sung Joon
dc.creatorNabet, B.
dc.creatorLeonard, Naomi E.
dc.creatorLevin, Simon A.
dc.creatorKevrekidis, I. G.
dc.date2006-06-16
dc.date2006-12-15
dc.date.accessioned2026-07-07T07:35:25Z
dc.date.available2026-07-07T07:35:25Z
dc.descriptionWe 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.
dc.descriptionfinal form; accepted for publication in Journal of Theoretical Biology
dc.identifierhttps://arxiv.org/abs/q-bio/0606021
dc.identifierhttp://arxiv.org/abs/q-bio/0606021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120087
dc.subjectQuantitative Methods
dc.subjectPopulations and Evolution
dc.titleHeterogeneous animal group models and their group-level alignment dynamics; an equation-free approach
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