Bifurcation of hexagonal patterns in a chemotaxis-diffusion-growth system |
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Authors: | Takashi Okuda Koichi Osaki |
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Affiliation: | School of Sciences and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda 669-1337, Japan |
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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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