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Article

Invasion waves and pinning in the Kirkpatrick-Barton model of evolutionary range dynamics.

Journal of mathematical biology - 1 Jan 2019

Miller Judith R

Abstract excerpt

The Kirkpatrick-Barton model, well known to invasion biologists, is a pair of reaction-diffusion equations for the joint evolution of population density and the mean of a quantitative trait as functions of space and time. Here we prove the existence of two classes of coherent structures, namely "bounded trait mean differential" traveling waves and localized stationary solutions, using geometric singular...

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PMID: 30054672
DOI: 10.1007/s00285-018-1274-2

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 7 Sept 2026. Manifest publication-graph-cohort-2026-09-08.1.

Source receipt: pubmed, retrieved 7 Sept 2026.

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