Evolutionary dynamics and fixation probabilities in directed networks

Naoki Masuda*, Hisashi Ohtsuki

*この研究の対応する著者

研究成果: Article査読

63 被引用数 (Scopus)

抄録

In this paper, we investigate the evolutionary dynamics in directed and/or weighted networks. We study the fixation probability of a mutant in finite populations in stochastic voter-type dynamics for several update rules. The fixation probability is defined as the probability of a newly introduced mutant in a wild-type population taking over the entire population. In contrast to the case of undirected and unweighted networks, the fixation probability of a mutant in directed networks is characterized not only by the degree of the node that the mutant initially invades but also by the global structure of networks. Consequently, the gross connectivity of networks such as small-world property or modularity has a major impact on the fixation probability.

本文言語English
論文番号033012
ジャーナルNew Journal of Physics
11
DOI
出版ステータスPublished - 2009 3月 10
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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