Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity

Abstract

Mass-conserving reaction-diffusion systems with bistable nonlinearity are useful models for studying cell polarity formation, which is a key process in cell division and differentiation. We show the existence and stability of stationary solutions with a single internal transition layer in such reaction-diffusion systems under general assumptions by the singular perturbation theory.Comment: 35 pages, 2 figure