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

• 作者: Servet Martinez Thierry Huillet
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: EVOLUTIONARY GENETICS FITNESS Landscape Selection MUTATION Stochastic Models Quasi-Stationarity
• 年，卷（期）: 2011,（1）
• 页码范围: 11-22
• 页数: 12页
• 分类号: O1

摘要

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.