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Bibliographic Details
Main Authors: Ikeda, Hideo, Kuwamura, Masataka
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.06404
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Table of Contents:
  • Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function.