Abstract
In this paper we consider the stationary problem for a reaction-diffusion system of activator-inhibitor type, which models biological pattern formation, in an axially symmetric domain. It is shown that the system has multi-peak stationary solutions such that the activator is localized around some boundary points if the activator diffuses very slowly and the inhibitor diffuses rapidly enough.
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Ni, WM., Takagi, I. Point condensation generated by a reaction-diffusion system in axially symmetric domains. Japan J. Indust. Appl. Math. 12, 327–365 (1995). https://doi.org/10.1007/BF03167294
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DOI: https://doi.org/10.1007/BF03167294