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• W2343284495 abstract "We study the long-time behavior of solutions to a measure-valued selection–mutation model that we formulated in [14]. We establish permanence results for the full model, and we study the limiting behavior even when there is more than one strategy of a given fitness; a case that arises in applications. We show that for the pure selection case the solution of the dynamical system converges to a Dirac measure centered at the fittest strategy class provided that the support of the initial measure contains a fittest strategy; thus we term this Dirac measure an Asymptotically Stable Strategy. We also show that when the strategy space is discrete, the selection–mutation model with small mutation has a locally asymptotically stable equilibrium that attracts all initial conditions that are positive at the fittest strategy." @default.
• W2343284495 created "2016-06-24" @default.
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• W2343284495 date "2016-07-01" @default.
• W2343284495 modified "2023-10-09" @default.
• W2343284495 title "Population dynamics under selection and mutation: Long-time behavior for differential equations in measure spaces" @default.
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• W2343284495 doi "https://doi.org/10.1016/j.jde.2016.04.008" @default.
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