Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

The Togashi Kaneko model (TK model) is a simple stochastic reaction network that displays discreteness-induced transitions between meta-stable patterns. Here we study a constrained Langevin approximation (CLA) of this model. This CLA, derived under the classical scaling, is an obliquely reflected di...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Wai-Tong (Louis) Fan, Yifan (Johnny) Yang, Chaojie Yuan
Format: Artikel
Sprache:English
Veröffentlicht: AIMS Press 2023-01-01
Schriftenreihe:Mathematical Biosciences and Engineering
Schlagworte:
reaction network
langevin approximation
reflected diffusion
feller property
stochastic simulation
stationary distribution
lyapunov function
harris recurrent
exponential ergodicity
Online Zugang:https://www.aimspress.com/article/doi/10.3934/mbe.2023201?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2023201?viewType=HTML

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