Pattern Formation of a Keller-Segel Model with the Source Term up(1-u)
Nonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term up(1-u) is considered. It is proved that nonlinear dynamics of a general perturbation is determined by the finite number of linear growing modes over a time scale of ln(1/δ), where δ is a strength...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/454513 |
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doaj-101f5d678fac476886c40b1b36db82ac2020-11-24T21:43:03ZengHindawi LimitedJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/454513454513Pattern Formation of a Keller-Segel Model with the Source Term up(1-u)Shengmao Fu0Fenli Cao1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaNonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term up(1-u) is considered. It is proved that nonlinear dynamics of a general perturbation is determined by the finite number of linear growing modes over a time scale of ln(1/δ), where δ is a strength of the initial perturbation.http://dx.doi.org/10.1155/2013/454513 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shengmao Fu Fenli Cao |
| spellingShingle |
Shengmao Fu Fenli Cao Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) Journal of Mathematics |
| author_facet |
Shengmao Fu Fenli Cao |
| author_sort |
Shengmao Fu |
| title |
Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) |
| title_short |
Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) |
| title_full |
Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) |
| title_fullStr |
Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) |
| title_full_unstemmed |
Pattern Formation of a Keller-Segel Model with the Source Term up(1-u) |
| title_sort |
pattern formation of a keller-segel model with the source term up(1-u) |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2013-01-01 |
| description |
Nonlinear dynamics near an unstable constant equilibrium in a Keller-Segel model with the source term up(1-u) is considered. It is proved that nonlinear dynamics of a general perturbation is determined by the finite number of linear growing modes over a time scale of ln(1/δ), where δ
is a strength of the initial perturbation. |
| url |
http://dx.doi.org/10.1155/2013/454513 |
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AT shengmaofu patternformationofakellersegelmodelwiththesourcetermup1u AT fenlicao patternformationofakellersegelmodelwiththesourcetermup1u |
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