We construct asymptotically the solutions to a classical reaction-diffusion system (the Gray-Scott model of an autocatalytic reaction) in the form of static spike autosolitons (self-sustained solitary pulses, spots and clots). We show that solutions in the form of static spike autosolitons exist over a wide range of system parameters in one dimension, and in a narrower range of parameters in two and three dimensions. We study the properties of these solutions.
No takes yet. Share an insight, caveat, or question.
Muratov et al. (2000) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: