Evolutionary dynamics on graphs -- the effect of graph structure and initial placement on mutant spread

DOI10.1080/15598608.2011.10412035zbMath1420.05115OpenAlexW2000723095MaRDI QIDQ2324148

Jan Rychtář, Mark Broom, B. T. Stadler

Publication date: 13 September 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2011.10412035

zbMATH Keywords

birth-death processfixation probabilitysmall world networksheterogeneous graphs

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (7)

Modelling evolution in structured populations involving multiplayer interactions ⋮ Reproductive value in graph-structured populations ⋮ Fixation probability on clique-based graphs ⋮ Fixation probabilities in evolutionary dynamics under weak selection ⋮ Counterintuitive properties of evolutionary measures: a stochastic process study in cyclic population structures with periodic environments ⋮ Environmental evolutionary graph theory ⋮ Bernoulli and binomial proliferation on evolutionary graphs

Cites Work

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• On the representation of birth-death processes with polynomial transition rates
• Renormalization group analysis of the small-world network model
• Nonadditive probabilities in statistics
• Time-homogeneous birth-death processes with probability intervals and absorbing state
• Two results on evolutionary processes on general non-directed graphs
• Emergence of Scaling in Random Networks
• Evolutionary games on graphs and the speed of the evolutionary process
• Evolutionary dynamics on small-order graphs
• The Diameter of a Cycle Plus a Random Matching
• Game theory and evolution
• Models of animal conflict
• Evolutionary Games and Population Dynamics
• Collective dynamics of ‘small-world’ networks
• The Logic of Animal Conflict
• An analysis of the fixation probability of a mutant on special classes of non-directed graphs

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