Evolutionary dynamics and fixation probabilities in directed networks

Details Evolutionary dynamics and fixation probabilities in directed networks Evolutionary dynamics and fixation probabilities in directed networks

2008-12-05

arxiv.org/abs/0812.1075v2

New Journal of Physics, 11, 033012 (2009)

Physics

Physics and Society

7 figures

Scientific paper

10.1088/1367-2630/11/3/033012

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 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.

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