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

C. Liu, Jilin University, Changchun, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 18. (2004), pp. 1-10.

Abstract: 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 $x\to\infty$.

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