The Dynamics and Pinning of a Spike for a Reaction-Diffusion System
The Dynamics and Pinning of a Spike for a Reaction-Diffusion System
The motion of a one-spike solution to a simplified form of the Gierer--Meinhardt activator-inhibitor model is studied in both a one-dimensional and a two-dimensional domain. The pinning effect on the spike motion associated with the presence of spatially varying coefficients in the differential operator, referred to as precursor gradients, is …