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)|
|Number of pages||18|
|Journal||Dynamic Systems and Applications|
|State||Published - Jun 2007|
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