3 papers
math.AP2024
Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
Hideo Ikeda, Masataka Kuwamura
Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transit…
math.AP2023
Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
Masataka Kuwamura, Takashi Teramoto, Hideo Ikeda
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 differenti…
math.AP2019
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
Martina Chirilus-Bruckner, Peter van Heijster, Hideo Ikeda +1
This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum…