Ecological communities with Lotka-Volterra dynamics
Ecological communities with Lotka-Volterra dynamics
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DOI：
10.1103/physreve.95.042414
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发表时间：
2017-04-28
影响因子：
2.4
通讯作者：
Bunin, Guy
中科院分区：
文献类型：
--
作者：
Bunin, Guy
异质环境中的生态群落通过物种间相互作用和迁移的共同作用而聚集。了解这些过程对群落性质的影响是生态学的核心。在这里，我们研究这些过程中的一个单一的社区从一个游泳池的物种迁移，人口动态描述的广义Lotka-Volterra方程。我们推导出描述动力学行为的相图的精确结果，以及多样性和物种丰度分布。一个相变被发现从一个阶段，其中存在一个独特的全球吸引力的不动点的阶段，其中存在多个动态吸引子，导致历史依赖的社区属性。该模型被证明具有对称性，也建立了与其他知名模型的连接。
Ecological communities in heterogeneous environments assemble through the combined effect of species interaction and migration. Understanding the effect of these processes on the community properties is central to ecology. Here we study these processes for a single community subject to migration from a pool of species, with population dynamics described by the generalized Lotka-Volterra equations. We derive exact results for the phase diagram describing the dynamical behaviors, and for the diversity and species abundance distributions. A phase transition is found from a phase where a unique globally attractive fixed point exists to a phase where multiple dynamical attractors exist, leading to history-dependent community properties. The model is shown to possess a symmetry that also establishes a connection with other well-known models.