Abstract
A class of cross diffusion parabolic systems given on bounded domains of IR n, with arbitrary n, is investigated. We show that there is a global attractor with finite Hausdorff dimension which attracts all solutions. The result will be applied to the generalized Shigesada, Kawasaki and Teramoto (SKT) model with Lotka-Volterra reactions. In addition, the persistence property of the SKT model will be studied.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 361-378 |
| Number of pages | 18 |
| Journal | Dynamic Systems and Applications |
| Volume | 16 |
| Issue number | 2 |
| State | Published - Jun 2007 |
All Science Journal Classification (ASJC) codes
- General Mathematics