An Exactly Solved Model for Mutation, Recombination and Selection

DOI10.4153/CJM-2003-001-0zbMath1056.92040arXivmath/0210422OpenAlexW2114282594MaRDI QIDQ4808089

Michael Baake, Ellen Baake

Publication date: 2003

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210422

zbMATH Keywords

Möbius inversionnonlinear ODEsmeasure-valued dynamical systems

Mathematics Subject Classification ID

Problems related to evolution (92D15) Combinatorics of partially ordered sets (06A07) Dynamical systems in biology (37N25) Genetics and epigenetics (92D10) Nonlinear ordinary differential operators (34L30) Random dynamical systems (37H99) Markov processes (60J99)

Related Items (16)

Partitioning, duality, and linkage disequilibria in the Moran model with recombination ⋮ Addendum to: ``Recombination semigroups on measure spaces ⋮ Solving the migration-recombination equation from a genealogical point of view ⋮ Single-crossover recombination in discrete time ⋮ Genetic recombination as a generalised gradient flow ⋮ Evolution with recombination as Gibbs sampling ⋮ Single-crossover recombination and ancestral recombination trees ⋮ Single-crossover dynamics: finite versus infinite populations ⋮ The recombination equation for interval partitions ⋮ Haldane linearisation done right: solving the nonlinear recombination equation the easy way ⋮ Solving the selection-recombination equation: ancestral lines and dual processes ⋮ The general recombination equation in continuous time and its solution ⋮ A Mutation-Selection Model with Recombination for General Genotypes ⋮ Freely forming groups: Trying to be rare ⋮ Critical population and error threshold on the sharp peak landscape for a Moran model ⋮ Recombination semigroups on measure spaces

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