Noise-induced stabilization in a chemical reaction network without boundary effects
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908407761469440 |
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| author | Agazzi, Andrea Laurence, Lucie |
| author_facet | Agazzi, Andrea Laurence, Lucie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise-induced stabilization in a chemical reaction network without boundary effects Agazzi, Andrea Laurence, Lucie Probability Molecular Networks 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. |
| title | Noise-induced stabilization in a chemical reaction network without boundary effects |
| topic | Probability Molecular Networks |
| url | https://arxiv.org/abs/2506.12163 |