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Evolutionary Dynamics on Degree-Heterogeneous Graphs
Open accessAbstract
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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Cited by
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Metadata
- Authors
- Antal, T., Redner, S., & Sood, V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-05-11
- Volume
- 96
- Issue
- 18
- Pages
- 188104-188104
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2033541016
- Cited by
- 223
- References
- 0
- FWCI
- 6.45
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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