The Impact of Different Degrees of Leadership on Collective Navigation in Follower-Leader Systems.

IF 2 4区 数学 Q2 BIOLOGY
Sara Bernardi, Kevin J Painter
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引用次数: 0

Abstract

In both animal and cell populations, the presence of leaders often underlies the success of collective migration processes, which we characterise by a group maintaining a cohesive configuration that consistently moves toward a target. We extend a recent non-local hyperbolic model for follower-leader systems to investigate different degrees of leadership. Specifically, we consider three levels of leadership: indifferent leaders, who do not alter their movement according to followers; observant leaders, who attempt to remain connected with the followers, but do not allow followers to affect their desired alignment; and persuadable leaders, who integrate their attempt to reach some target with the alignment of all neighbours, both followers and leaders. A combination of analysis and numerical simulations is used to investigate under which conditions each degree of leadership allows successful collective movement to a destination. We find that the indifferent leaders' strategy can result in a cohesive and target-directed migration only for short times. Observant and persuadable leaders instead provide robust guidance, showing that the optimal leader behavior depends on the connection between the migrating individuals: if alignment is low, greater follower influence on leaders is beneficial for successful guidance; otherwise, it can be detrimental and may generate various unsuccessful swarming dynamics.

不同领导程度对追随-领导系统中集体导航的影响。
在动物种群和细胞种群中,领导者的存在往往是集体迁移过程成功的基础,我们将其描述为一个群体保持一致地向目标移动的凝聚力配置。我们扩展了最近的追随者-领导者系统的非局部双曲模型来研究不同程度的领导。具体来说,我们考虑了三种领导水平:冷漠的领导者,他们不会根据追随者改变自己的行动;善于观察的领导者,他们试图与下属保持联系,但不允许下属影响他们想要的联盟;以及有说服力的领导者,他们将实现某个目标的努力与所有邻国(包括追随者和领导者)的结盟结合起来。分析和数值模拟的结合被用来调查在什么条件下,每个程度的领导允许成功的集体运动到一个目的地。我们发现,冷漠的领导者策略只能在短时间内导致有凝聚力和目标导向的迁移。相反,善于观察和善于说服的领导者提供了稳健的指导,这表明最优的领导者行为取决于迁移个体之间的联系:如果一致性较低,更大的追随者对领导者的影响有利于成功的指导;否则,它可能是有害的,并可能产生各种不成功的群体动态。
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来源期刊
CiteScore
3.90
自引率
8.60%
发文量
123
审稿时长
7.5 months
期刊介绍: The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.
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