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N. Champagnat, R. Ferrière and S. Méleard, “From Individual Stochastic Processes to Macroscopic Models in Adaptive evolution,” Stochastic Models, Vol. 24, Suppl. 1, 2008, pp. 2-44. doi:10.1080/15326340802437710

has been cited by the following article:

• TITLE: Discrete Evolutionary Genetics: Multiplicative Fitnesses and the Mutation-Fitness Balance

  AUTHORS: Thierry Huillet, Servet Martinez

  KEYWORDS: Evolutionary Genetics, Fitness Landscape, Selection, Mutation, Stochastic Models, Quasi-Stationarity

  JOURNAL NAME: Applied Mathematics, Vol.2 No.1, January 30, 2011

  ABSTRACT: We revisit the multi-allelic mutation-fitness balance problem especially when fitnesses are multiplicative. Using ideas arising from quasi-stationary distributions, we analyze the qualitative differences between the fitness-first and mutation-first models, under various schemes of the mutation pattern. We give some stochastic domination relations between the equilibrium states resulting from these models.