The stability of stationary fronts for a discrete nerve axon model
Christopher E. Elmer, Christopher E. Elmer · Mathematical Biosciences & Engineering · 2007
We consider the stability of single-front stationary solutions to a spatially discrete reaction-diffusion equation which models front propagation in a nerve axon. The solution's stability depends on the coupling parameter, changing from stable to unstable and from unstable to stable at a countably infinite number of values of this diffusion coefficient.