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arXiv · 2506.12163

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

Andrea Agazzi·Lucie Laurence
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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.

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Andrea Agazzi, Lucie Laurence. 2025-06-13. Noise-induced stabilization in a chemical reaction network without boundary effects. https://arxiv.org/abs/2506.12163

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