Local stability of evolutionary attractors for continuous structured populations

DOI10.1007/S00605-011-0354-9zbMath1263.92035OpenAlexW2016904653MaRDI QIDQ663340

Gaël Raoul

Publication date: 14 February 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0354-9

zbMATH Keywords

population dynamicsESSlong time asymptoticsselection-competition

Mathematics Subject Classification ID

Problems related to evolution (92D15) Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Ecology (92D40)

Related Items (14)

Dirac concentrations in a chemostat model of adaptive evolution ⋮ Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces ⋮ On a discrete selection–mutation model ⋮ An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model ⋮ Evolution of species trait through resource competition ⋮ On a non-local selection–mutation model with a gradient flow structure ⋮ Selection-mutation dynamics with spatial dependence ⋮ Long time evolution of populations under selection and Vanishing mutations ⋮ Concentration phenomenon in some non-local equation ⋮ Survival criterion for a population subject to selection and mutations; application to temporally piecewise constant environments ⋮ Basic stage structure measure valued evolutionary game model ⋮ Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model ⋮ Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions ⋮ Time-asymptotic convergence rates towards the discrete evolutionary stable distribution

Cites Work

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• On selection dynamics for competitive interactions
• On selection dynamics for continuous structured populations
• Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynam\-ics
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
• Evolutionary Games and Population Dynamics

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