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.
Anno
2021
Autori IAC
Tipo pubblicazione
Altri Autori
Cristiani E.; Menci M.; Papi M.; Brafman L.
Editore
Springer
Rivista
Journal of mathematical biology (Print)