| 书目名称 | The Quasispecies Equation and Classical Population Models | | 编辑 | Raphaël Cerf,Joseba Dalmau | | 视频video | | | 概述 | This book provides an in-depth study of the Eigen‘s Quasispecies equation in the context of population models..The case of the Wright-Fisher model is treated in detail, other classical population mode | | 丛书名称 | Probability Theory and Stochastic Modelling | | 图书封面 |  | | 描述 | .This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. A detailed analysis of this equation is given under the assumptions of finite genotype space, sharp peak landscape, and class-dependent fitness landscapes. Different probabilistic representation formulae are derived for its solution, involving classical combinatorial quantities like Stirling and Euler numbers..It is shown how quasispecies and error threshold phenomena emerge in finite population models, and full mathematical proofs are provided in the case of the Wright–Fisher model. Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes..Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation. .This book will be of interest to mathematicians and theoretical ecologists/biologists wor | | 出版日期 | Book 2022 | | 关键词 | Analysis of Quasispecies equation; Manfred Eigen quasispecies model; Population models book; Mutation-S | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-08663-2 | | isbn_softcover | 978-3-031-08665-6 | | isbn_ebook | 978-3-031-08663-2Series ISSN 2199-3130 Series E-ISSN 2199-3149 | | issn_series | 2199-3130 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:14:41
