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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/454513 |