Shigesada-Kawasaki-Teramoto model on higher dimensional domains

Dung Le, Linh Viet Nguyen, Toan Nguyen

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalElectronic Journal of Differential Equations
Volume2003
StatePublished - Dec 1 2003

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High-dimensional
Cross-diffusion System
Triangular Systems
Global Attractor
Population Dynamics
Model
Class

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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abstract = "We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.",
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Shigesada-Kawasaki-Teramoto model on higher dimensional domains. / Le, Dung; Nguyen, Linh Viet; Nguyen, Toan.

In: Electronic Journal of Differential Equations, Vol. 2003, 01.12.2003, p. 1-12.

Research output: Contribution to journalArticle

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AB - We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.

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