Dear Colleagues, We are pleased to invite you to the following SPASS seminar <https://sites.google.com/unipi.it/spass/seminars?authuser=0> (jointly organised by UniPi, SNS, UniFi and UniSi): _Speaker_: *Lucie Laurence *(University of Bern, Institute of Mathematical Statistics and Actuarial Sciences) _Title_: *Noise-induced stabilization in chemical reaction networks* _Date and time_: *Tue, May 5th* at *14:00 CET* _Place_: Auletta Riunioni, Dipartimento di Matematica, UniPi, Pisa _Join online_: https://meet.google.com/esx-pxkw-fhw On behalf of the organisers, Samuele Saviozzi ********************* _Abstract_: /Chemical reaction networks (CRNs) describe the evolution of interacting molecular species through a set of reactions. In the stochastic formulation, the system tracks discrete molecule counts and evolves as a jump process driven by reaction events. Transition rates follow mass‑action kinetics and are polynomial functions of the state. When molecule numbers are large, these stochastic dynamics are typically approximated by a deterministic ODE system. The connection between the stability of these two models is an active area of research./ /In this talk, I will present a CRN exhibiting a noise‑induced stabilization phenomenon. Deterministically, the associated ODE admits trajectories that diverge and blow up in finite time. In contrast, the stochastic model is stable: sample paths remain bounded and repeatedly return to compact regions of the state space. The proof combines a Lyapunov‑function criterion with scaling arguments that control the behavior of the stochastic trajectories./ /In the final part of the talk, I will discuss new directions for extending this stabilization result to broader classes of CRNs. Using Poincaré compactification, I will outline conditions on the deterministic dynamics that ensure stability of the corresponding stochastic system./ /This is a joint work with A. Agazzi./