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Article

The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.

Theoretical population biology - 1 Jun 2005

Diekmann Odo, Jabin Pierre-Emanuel, Mischler Stéphane, Perthame Benoît

Abstract excerpt

Our starting point is a selection-mutation equation describing the adaptive dynamics of a quantitative trait under the influence of an ecological feedback loop. Based on the assumption of small (but frequent) mutations we employ asymptotic analysis to derive a Hamilton-Jacobi equation. Well-established and powerful numerical tools for solving the Hamilton-Jacobi equations then allow us to easily compute the...

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Identifiers

PMID: 15888304
DOI: 10.1016/j.tpb.2004.12.003

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 7 Sept 2026. Manifest publication-graph-cohort-2026-09-07.1.

Source receipt: pubmed, retrieved 7 Sept 2026.

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