Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843979 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
In this paper we consider a heat equation with nonlinear boundary condition occurring in population genetics, the selection–migration problem for alleles in a region, considering flow of genes throughout the boundary. Such a problem determines a gradient flow in a convenient phase space and then the dynamics for large times depends heavily on the knowledge of the equilibrium solutions. We address the questions of the existence of a nontrivial equilibrium solution and its regularity.
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Authors
Gustavo Ferron Madeira,