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S. Martínez and M. E. Vares, “A Markov Chain Associated with the Minimal Quasi-Stationary Distribution of Birth-Death Chains,” Journal of Applied Probability, Vol. 32, No. 1, 1995, pp. 25-38. doi:10.2307/3214918

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.