SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE

Authored by Josa A Carrillo, Axel Klar, Stephan Martin, Sudarshan Tiwari

Date Published: 2010

DOI: 10.1142/s0218202510004684

Sponsors: German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) The Generalitat de Catalunya

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

We consider a self-propelled interacting particle system for the collective behavior of swarms of animals, and extend it with an attraction term called roosting force, as it has been suggested in Ref. 30. This new force models the tendency of birds to overfly a fixed preferred location, e.g. a nest or a food source. We include roosting to the existing individual-based model and consider the associated mean-field and hydrodynamic equations. The resulting equations are investigated analytically looking at different asymptotic limits of the corresponding stochastic model. In addition to existing patterns like single mills, the inclusion of roosting yields new scenarios of collective behavior, which we study numerically on the microscopic as well as on the hydrodynamic level.

Tags

Dynamics Model flocking Aggregation Animal groups Fish schools Distance Driven particles Continuum-limit Potentials