An all-leader agent-based model for turning and flocking birds
Adaptation and Self-Organizing Systems
2021-10-08 v2 Dynamical Systems
Abstract
Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous (both in space and time) right-hand side. The model is specifically designed to reproduce self-organized spontaneous sudden changes of direction, not caused by external stimuli like predator's attacks. The main novelty of the model is that every bird is a potential turn initiator, thus leadership is formed in a group of indistinguishable agents. We investigate some theoretical properties of the model and we show the numerical results. Biological insights are also discussed.
Keywords
Cite
@article{arxiv.2010.01990,
title = {An all-leader agent-based model for turning and flocking birds},
author = {Emiliano Cristiani and Marta Menci and Marco Papi and Léonard Brafman},
journal= {arXiv preprint arXiv:2010.01990},
year = {2021}
}