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Masuda, K. and Takahashi, K. (1987) Reaction-Diffusion Systems in the Gierer-Meinhardt Theory of Biological Pattern Formation. Japan Journal of Applied Mathematics, 4, 47-58.
https://doi.org/10.1007/BF03167754

has been cited by the following article:

• TITLE: Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions

  AUTHORS: Kwadwo Antwi-Fordjour, Marius Nkashama

  KEYWORDS: Activator-Inhibitor System, Gierer-Meinhardt System, Robin and Neumann Boundary Conditions, Global Existence

  JOURNAL NAME: Applied Mathematics, Vol.8 No.6, June 29, 2017

  ABSTRACT: We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.