Department of Mathematics, University of Dundee, Dundee DD1 4HN, United Kingdom.
J Theor Biol. 2013 Nov 21;337:42-53. doi: 10.1016/j.jtbi.2013.08.001. Epub 2013 Aug 9.
Communication among individuals forms the basis of social interactions in every animal population. In general, communication is influenced by the physiological and psychological constraints of each individual, and in large aggregations this means differences in the reception and emission of communication signals. However, studies on the formation and movement of animal aggregations usually assume that all individuals communicate with neighbours in the same manner. Here, we take a new approach on animal aggregations and use a nonlocal mathematical model to investigate theoretically the simultaneous use of two communication mechanisms by different members of a population. We show that the use of multiple communication mechanisms can lead to behaviours that are not necessarily predicted by the behaviour of subpopulations that use only one communication mechanism. In particular, we show that while the use of one communication mechanism by the entire population leads to deterministic movement, the use of multiple communication mechanisms can lead in some cases to chaotic movement. Finally, we show that the use of multiple communication mechanisms leads to the sorting of individuals inside aggregations: individuals that are aware of the location and the movement direction of all their neighbours usually position themselves at the centre of the groups, while individuals that are aware of the location and the movement direction of only some neighbours position themselves at the edges of the groups.
个体之间的交流是每个动物群体社会互动的基础。一般来说,交流受到每个个体的生理和心理限制的影响,在大的群体中,这意味着在接收和发出通信信号方面存在差异。然而,关于动物群体的形成和运动的研究通常假设所有个体都以相同的方式与邻居进行交流。在这里,我们对动物群体采取了一种新的方法,使用非局部数学模型从理论上研究了种群中不同成员同时使用两种通信机制的情况。我们表明,使用多种通信机制可能导致不一定可以由仅使用一种通信机制的亚群的行为来预测的行为。特别是,我们表明,虽然整个种群使用一种通信机制会导致确定性的运动,但在某些情况下,使用多种通信机制会导致混沌运动。最后,我们表明,使用多种通信机制会导致群体内部个体的分类:那些知道所有邻居的位置和运动方向的个体通常位于群体的中心,而那些只知道一些邻居的位置和运动方向的个体则位于群体的边缘。