# Noise-induced stabilization in a chemical reaction network without boundary effects

Source: [Noise-induced stabilization in a chemical reaction network without boundary effects](<https://www.sota2.com/research/paper/68fa5da61e209131ce9dbe3a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:39:12.734Z

Authors: Andrea Agazzi, Lucie Laurence

Published: 2025-06-13T18:29:29.000Z

## Abstract

We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space, but whose stochastic counterpart is positive recurrent. This provides an example of noise-induced stabilization of the model's dynamics arising due to noise perturbing transversally the divergent trajectories of the system that is independently of boundary effects. The proof is based on a careful decomposition of the state space and the construction of suitable Lyapunov functions in each region.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2506.12163>)

[PDF](<https://arxiv.org/pdf/2506.12163.pdf>)