Stationary multiple spots for reaction-diffusion systems.

@article{Wei2008StationaryMS,
  title={Stationary multiple spots for reaction-diffusion systems.},
  author={Juncheng Wei and Matthias Winter},
  journal={Journal of mathematical biology},
  year={2008},
  volume={57 1},
  pages={53-89}
}
In this paper, we review analytical methods for a rigorous study of the existence and stability of stationary, multiple spots for reaction-diffusion systems. We will consider two classes of reaction-diffusion systems: activator-inhibitor systems (such as the Gierer-Meinhardt system) and activator-substrate systems (such as the Gray-Scott system or the Schnakenberg model). The main ideas are presented in the context of the Schnakenberg model, and these results are new to the literature. We will… CONTINUE READING
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