Article ID Journal Published Year Pages File Type
837652 Nonlinear Analysis: Real World Applications 2011 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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