Probability Seminar

Date: September 22, 2021

Time: 10:00AM - 11:00AM

Location: Zoom/BLOC302

Speaker: Tung Nguyen, TAMU

Title: Stationary distribution of stochastically modelled reaction networks

Abstract: Reaction networks are commonly used to model a variety of physical systems from the microscopic world like cell biology and chemistry, to the macroscopic world like epidemiology and evolution biology. They are commonly modelled by either a deterministic ODEs model, or a stochastic continuous time Markov chain model. In this talk I will discuss several results related to stationary distribution of stochastically modelled reaction networks. In particular, I will talk about a class of reaction networks whose stationary distribution can be found explicitly. Moreover, I will discuss another class of reaction networks whose existence of a stationary distribution can be guaranteed by the Foster-Lyapunov criterion.