Evolutionary dynamics on degree-heterogeneous graphs
Evolutionary dynamics on degree-heterogeneous graphs
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DOI：
10.1103/physrevlett.96.188104
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发表时间：
2006-05-12
影响因子：
8.6
通讯作者：
Sood, V.
中科院分区：
文献类型：
--
作者：
Antal, T.;Redner, S.;Sood, V.
在度异质图上研究了两个适应度不同的种群的进化问题。种群的进化要么是通过一个个体死亡并被随机邻居的后代取代(选民模型动力学)，要么是通过一个个体生下接管随机邻居节点的后代(入侵过程动力学)。一个物种接管N个个体的种群的固定概率关键取决于动态和当地环境。从k次节点上的单个Fit突变体开始，固定概率对于选民模型动力学与k成正比，对于入侵过程动力学与1/k成正比。
The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model dynamics) or by an individual giving birth to an offspring that takes over a random neighbor node (invasion process dynamics). The fixation probability for one species to take over a population of N individuals depends crucially on the dynamics and on the local environment. Starting with a single fitter mutant at a node of degree k, the fixation probability is proportional to k for voter model dynamics and to 1/k for invasion process dynamics.