论文标题
生物聚类的模型
Model for clustering of living species
论文作者
论文摘要
群集在各种环境中出现在自然界中，涉及距离的距离，只要宇宙学的距离以及原子和分子以及很小的核大小。它们还出现在其他几种情况下，特别是在生物系统中，例如在蚂蚁，蜜蜂，鸟类，鱼类，gnus和大鼠中。在这里，我们描述了一个由一组女性和男性组成的模型，这些模型遵守简单的规则，这些规则迅速将统一的初始状态转化为单个群集，该状态会随着时间的流逝而演变为稳定的动力学结构。我们表明，结构的质量中心是随机行走的，并且集群的大小从系统中的个体数量方面产生了权力定律行为。此外，我们还检查了其他可能性，特别是两个不同的物种可以演变成形成一个或两个不同的簇的情况。
Clusters appear in nature in a diversity of contexts, involving distances as long as the cosmological ones, and down to atoms and molecules and the very small nuclear size. They also appear in several other scenarios, in particular in biological systems as in ants, bees, birds, fishes, gnus and rats, for instance. Here we describe a model composed of a set of female and male individuals that obeys simple rules that rapidly transform an uniform initial state into a single cluster that evolves in time as a stable dynamical structure. We show that the center of mass of the structure moves as a random walk, and that the size of the cluster engenders a power law behavior in terms of the number of individuals in the system. Moreover, we also examine other possibilities, in particular the case of two distinct species that can evolve to form one or two distinct clusters.
