A conceptual model for milling formations in biological aggregates

DOI10.1007/s11538-008-9365-7zbMath1172.92040OpenAlexW2088125656WikidataQ51866647 ScholiaQ51866647MaRDI QIDQ841805

Ryan Lukeman, Yue-Xian Li, Leah Edelstein-Keshet

Publication date: 18 September 2009

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-008-9365-7

zbMATH Keywords

self-organizationcollective motionmillingself-propelled particlesschooling behavior

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05) Animal behavior (92D50)

Related Items

Data-driven discovery of emergent behaviors in collective dynamics, MATHEMATICS AND COMPLEXITY OF MULTI-PARTICLE SYSTEMS, ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS, A mathematical model for flight guidance in honeybee swarms, Swarming in homogeneous environments: a social interaction based framework, Fast-slow dynamics of planar particle models for flocking and swarming, Effects of anisotropic interactions on the structure of animal groups, A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION, Modeling birds on wires, Collective motion from local attraction, Particle, kinetic, and hydrodynamic models of swarming, Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints, Some aspects of the inertial spin model for flocks and related kinetic equations, COLLECTIVE BEHAVIOR OF BIOLOGICAL AGGREGATIONS IN TWO DIMENSIONS: A NONLOCAL KINETIC MODEL, Heterogeneity and Oscillations in Small Swarms, Systematic analysis of emergent collective motion produced by a 3D hybrid zonal model, COMPLEX SYSTEMS: NEW CHALLENGES WITH MODELING HEADACHES

Cites Work

• Minimal mechanisms for school formation in self-propelled particles
• Mutual interactions, potentials, and individual distance in a social aggregation
• Modeling vortex swarming in daphnia
• State transitions and the continuum limit for a 2D interacting, self-propelled particle system
• Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints
• Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
• Formations of Vehicles in Cyclic Pursuit
• Unnamed Item
• Unnamed Item