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Evolutionary dynamics on degree-heterogeneous graphs.

T Antal·S Redner·V Sood
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Abstract

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.

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AnimalsBiological EvolutionComputer SimulationHumansModels, BiologicalMutationSelection, GeneticSpecies SpecificityJournal ArticleResearch Support, N.I.H., ExtramuralResearch Support, Non-U.S. Gov't

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T Antal, S Redner, V Sood. 2006-05-11. Evolutionary dynamics on degree-heterogeneous graphs.. https://doi.org/10.1103/physrevlett.96.188104

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