Noise-induced stabilization in a chemical reaction network without boundary effects
Probability
2025-06-17 v1 Molecular Networks
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.
Keywords
Cite
@article{arxiv.2506.12163,
title = {Noise-induced stabilization in a chemical reaction network without boundary effects},
author = {Andrea Agazzi and Lucie Laurence},
journal= {arXiv preprint arXiv:2506.12163},
year = {2025}
}
Comments
22 pages, 1 figure