Explicit solutions in evolutionary genetics and applications

DOI10.1016/J.CRMA.2014.11.018zbMath1345.92096OpenAlexW2045975047MaRDI QIDQ2338974

Rémi Carles, Matthieu Alfaro

Publication date: 27 March 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.11.018

zbMATH Keywords

heat equationnonlocal reaction-diffusion equationevolutionary geneticsleading-order asymptotic behavior

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) Genetics and epigenetics (92D10)

Cites Work

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• The traveling-wave approach to asexual evolution: Muller's ratchet and speed of adaptation
• A simple mathematical model of gradual Darwinian evolution: emergence of a Gaussian trait distribution in adaptation along a fitness gradient
• Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration

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