AN INTRODUCTION TO MIGRATION-SELECTION PDE MODELS

作者:Lou, Yuan*; Nagylaki, Thomas; Ni, Wei Ming
来源:Discrete and Continuous Dynamical Systems, 2013, 33(10): 4349-4373.
DOI:10.3934/dcds.2013.33.4349

摘要

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