An introduction to migration-selection pde models

Yuan Lou; Thomas Nagylaki; Wei Ming Ni

doi:10.3934/dcds.2013.33.4349

An introduction to migration-selection pde models

Yuan Lou, Thomas Nagylaki, Wei Ming Ni

School of Mathematics

Research output: Contribution to journal › Review article › peer-review

39 Scopus citations

Abstract

This expository article concerns a system of semilinear parabolic partial differential equations that describes the evolution of the gene frequen- cies at a single locus under the joint action of migration and selection. We shall review mathematical techniques suited for the models under investiga- tion; discuss some of the main mathematical results, including most recent developments; and also propose some open problems.

Original language	English (US)
Pages (from-to)	4349-4373
Number of pages	25
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	33
Issue number	10
DOIs	https://doi.org/10.3934/dcds.2013.33.4349
State	Published - Oct 2013

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Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

Keywords

Clines
Geographical variation
Migration
Partial differential equations
Polymor-phism
Selection

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10.3934/dcds.2013.33.4349

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An introduction to migration-selection pde models

Abstract

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Keywords

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