160 citations · 298 across the 36 of their papers we have counts for
4 papers · 1 filter
Multi-patch multi-group epidemic model with varying infectivity
Raphaël Forien, Guodong Pang, Étienne Pardoux
This paper presents a law of large numbers result, as the size of the population tends to infinity, of SIR stochastic epidemic models, for a population distributed over distinc…
An approximation to steady-state of M/Ph/n+M queue
Xinghu Jin, Guodong Pang, Lihu Xu +1
In this paper, we develop a stochastic algorithm based on Euler-Maruyama scheme to approximate the invariant measure of the limiting multidimensional diffusion of the qu…
Recent Advances in Epidemic Modeling: Non-Markov Stochastic Models and their Scaling Limits
Raphael Forien, Guodong Pang, Etienne Pardoux
In this survey paper, we review the recent advances in individual based non--Markovian epidemic models. They include epidemic models with a constant infectivity rate, varying infec…
Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study epidemic models where the infectivity of each individual is a random function of the infection age (the elapsed time of infection). To describe the epidemic evolution dyna…