An asymptotic maximum principle for essentially linear evolution models

DOI10.1007/s00285-004-0281-7zbMath1055.92038arXivq-bio/0311020OpenAlexW3099715172WikidataQ51991467 ScholiaQ51991467MaRDI QIDQ1764646

Anton Bovier, Markus Klein, Ellen Baake, Michael Baake

Publication date: 25 February 2005

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-bio/0311020

zbMATH Keywords

ReversibilityAncestral distributionAsymptotics of leading eigenvalueLumpingMutation-selection models

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (9)

Error thresholds in a mutation-selection model with Hopfield-type fitness ⋮ Steady-state thermodynamics for population dynamics in fluctuating environments with side information ⋮ A new method for the solution of models of biological evolution: Derivation of exact steady-state distributions ⋮ Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states ⋮ Lines of descent under selection ⋮ Mutation, selection, and ancestry in branching models: a variational approach ⋮ Single-crossover dynamics: finite versus infinite populations ⋮ Spin coherent state representation of the Crow-Kimura and Eigen models of quasispecies theory ⋮ Harmonic approximation of difference operators

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