Author(s)

Kwadwo Antwi-Fordjour¹, Marius Nkashama²

¹Department of Mathematics, Earlham College, Richmond, IN, USA.
²Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL, USA.

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.

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

Antwi-Fordjour, K. and Nkashama, M. (2017) Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions. Applied Mathematics, 8, 857-867. doi: 10.4236/am.2017.86067.