Bistability in multiscale stochastic network models (Stefano Di Giovacchino, University of L'Aquila)

22.03.2022 14:00

In this talk, we focus our attention on the design and the study of a hierarchy of stochastic network models giving bistability under the triadic closure principle. It has been observed [P. Grindrod, D.J. Higham, M.C. Parsons, Bistability under Triadic Closure, Internet Mathematics, 8, pp. 402--423] that under the triadic closure, the system admits a bistable regime, i.e., the steady state of the system is bimodal and, hence, its stochastic trajectories may switch between two different state levels. Here, starting from an exact description of the system, based on a chemical kinetic framework,we aim to construct stochastic models that allow to gain insights of the bistable behavior of the network. To this purpose, a macrscopic model and the Langevin SDE associated to the system will be derived and analyzed. Finally, selected numerical experiments will be provided to support the theoretical results. This is a joint work with Desmond J. Higham and Kostantinos C. Zygalakis (University of Edinburgh).

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire d'analyse numérique

entrée libre