Shigesada-Kawasaki-Teramoto model on higher dimensional domains
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/72/abstr.html |
| _version_ | 1818235286704881664 |
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| author | Dung Le Linh Viet Nguyen Toan Trong Nguyen |
| author_facet | Dung Le Linh Viet Nguyen Toan Trong Nguyen |
| author_sort | Dung Le |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T11:51:34Z |
| format | Article |
| id | doaj.art-cd218a5a9cb1406790b8ad510851f455 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T11:51:34Z |
| publishDate | 2003-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-cd218a5a9cb1406790b8ad510851f4552022-12-22T00:25:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-06-01200372112Shigesada-Kawasaki-Teramoto model on higher dimensional domainsDung LeLinh Viet NguyenToan Trong NguyenWe 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.http://ejde.math.txstate.edu/Volumes/2003/72/abstr.htmlCross diffusion systemsglobal attractors. |
| spellingShingle | Dung Le Linh Viet Nguyen Toan Trong Nguyen Shigesada-Kawasaki-Teramoto model on higher dimensional domains Electronic Journal of Differential Equations Cross diffusion systems global attractors. |
| title | Shigesada-Kawasaki-Teramoto model on higher dimensional domains |
| title_full | Shigesada-Kawasaki-Teramoto model on higher dimensional domains |
| title_fullStr | Shigesada-Kawasaki-Teramoto model on higher dimensional domains |
| title_full_unstemmed | Shigesada-Kawasaki-Teramoto model on higher dimensional domains |
| title_short | Shigesada-Kawasaki-Teramoto model on higher dimensional domains |
| title_sort | shigesada kawasaki teramoto model on higher dimensional domains |
| topic | Cross diffusion systems global attractors. |
| url | http://ejde.math.txstate.edu/Volumes/2003/72/abstr.html |
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