Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions

DOI10.1016/j.jmaa.2016.07.028zbMath1351.35229arXiv1511.04961OpenAlexW2963518962WikidataQ90743976 ScholiaQ90743976MaRDI QIDQ739543

Àngel Calsina, Gaël Raoul, Laurent Desvillettes, Sílvia Cuadrado

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04961

zbMATH Keywords

asymptotic behaviourspectral theorypopulation dynamicsselection-mutation equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral theory and eigenvalue problems for partial differential equations (35P99) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (4)

Travelling wave solutions for a non-local evolutionary-epidemic system ⋮ Replicator-mutator equations with quadratic fitness ⋮ Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures ⋮ Evolutionary branching via replicator-mutator equations

Cites Work

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• One-parameter semigroups of positive operators
• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• Stationary distributions under mutation-selection balance: structure and properties
• Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration
• Asymptotics of steady states of a selection–mutation equation for small mutation rate
• A stochastic model concerning the maintenance of genetic variability in quantitative characters.

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