Instability of traveling waves for a generalized diffusion model in population problems

In this paper, we study the instability of the traveling waves of a generalized diffusion model in population problems. We prove that some traveling wave solutions are nonlinear unstable under $H^2$ perturbations. These traveling wave solutions converge to a constant as $x\to\infty$.

Bibliographic Details
Main Author: Changchun Liu
Format: Article
Language:English
Published: University of Szeged 2004-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=208