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Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions

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Mathematical Aspects of Pattern Formation in Biological Systems

Part of the book series: Applied Mathematical Sciences ((AMS,volume 189))

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Abstract

We prove results on the existence and stability of multiple spikes for the Gierer-Meinhardt system in a bounded, smooth two-dimensional domain. The case of symmetric spikes is studied in detail and for asymmetric spikes the results are stated.

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Wei, J., Winter, M. (2014). Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions. In: Mathematical Aspects of Pattern Formation in Biological Systems. Applied Mathematical Sciences, vol 189. Springer, London. https://doi.org/10.1007/978-1-4471-5526-3_6

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