论文标题
一个基于全领先的代理商旋转和蜂拥而至的型号
An all-leader agent-based model for turning and flocking birds
论文作者
论文摘要
从最近对八哥和杰克多的实验观察开始，我们提出了一个基于二阶延迟随机微分方程的系统，该模型最小，用于鸟类羊群，其二阶延迟随机微分方程具有不连续的（在时空和时空）右侧。该模型是专门设计的，是为了再现自发的自发突然变化方向，而不是由捕食者的攻击而不是外部刺激引起的。该模型的主要新颖性是每只鸟都是潜在的转弯发起者，因此领导是在一组难以区分的代理中形成的。我们研究了模型的一些理论特性，并显示了数值结果。还讨论了生物学见解。
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.
