3 papers
math.PR2026
Growing open Markovian Jackson networks: Fluid limit and infinite-dimensional Skorokhod problem
Louis T. Clarke, Guodong Pang, Ruoyu Wu
We study growing open Jackson networks where each station is a single-server queue that follows the first-come first-served discipline with Poisson arrivals and exponentially distr…
math.PR2025
Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs
Guodong Pang, Étienne Pardoux, Aurélien Velleret
We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous…
math.PR2024
SPDE for stochastic SIR epidemic models with infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study the stochastic SIR epidemic model with infection-age dependent infectivity for which a measure-valued process is used to describe the ages of infection for each individual…