Global attractors and uniform persistence for cross diffusion parabolic systems

Dung Le; Toan T. Nguyen

Global attractors and uniform persistence for cross diffusion parabolic systems

Dung Le
, Toan T. Nguyen

Research output: Contribution to journal › Article › peer-review

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

Cite this

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title = "Global attractors and uniform persistence for cross diffusion parabolic systems",

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.",

author = "Dung Le and Nguyen, \{Toan T.\}",

year = "2007",

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T1 - Global attractors and uniform persistence for cross diffusion parabolic systems

AU - Le, Dung

AU - Nguyen, Toan T.

PY - 2007/6

Y1 - 2007/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34547502337

UR - https://www.scopus.com/pages/publications/34547502337#tab=citedBy

M3 - Article

AN - SCOPUS:34547502337

SN - 1056-2176

VL - 16

SP - 361

EP - 378

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 2

ER -

Global attractors and uniform persistence for cross diffusion parabolic systems

Abstract

All Science Journal Classification (ASJC) codes

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