GLOBAL ATTRACTORS AND UNIFORM PERSISTENCE FOR CROSS DIFFUSION PARABOLIC SYSTEMS

TitleGLOBAL ATTRACTORS AND UNIFORM PERSISTENCE FOR CROSS DIFFUSION PARABOLIC SYSTEMS
Publication TypeJournal Article
Year of Publication2007
AuthorsLE DUNG, NGUYEN TOAN
JournalDynamic Systems and Applications
Volume16
Start Page361
Pagination17
Date Published2007
ISSN1056-2176
AMS Subject Classification35B65, 35K65
Abstract

A class of cross diffusion parabolic systems given on bounded domains of Rn , 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.
PDFhttps://acadsol.eu/dsa/articles/16/361-378-DSA-26-20-LeNguyen.pdf
Refereed DesignationRefereed