Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501671 | Journal of Differential Equations | 2005 | 52 Pages |
Abstract
This paper is concerned with the stability/instability of a class of positive spiky steady states for a quasi-linear cross-diffusion system describing two-species competition. By detailed spectral analysis, it is proved that the spiky steady states for the related shadow system are linearly unstable and the spiky steady states for the original cross-diffusion system are non-linearly unstable.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yaping Wu,