Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837652 | Nonlinear Analysis: Real World Applications | 2011 | 12 Pages |
Abstract
In this paper, we study a chemotaxis-diffusion-growth system in a rectangular domain by applying the center manifold theory. It is observed that the trivial solutions are destabilized due to the chemotaxis term. As a result, we obtain the normal form on the center manifold, and it is proved that the locally asymptotically stable hexagonal patterns exist.
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Authors
Takashi Okuda, Koichi Osaki,