226 citations · 612 across the 43 of their papers we have counts for
6 papers · 1 filter
Functional central limit theorems for epidemic models with varying infectivity
Guodong Pang, Etienne Pardoux
In this paper, we prove functional central limit theorems (FCLTs) for a stochastic epidemic model with varying infectivity and general infectious periods recently introduced in For…
A SIR model on a refining spatial grid: Law of Large Numbers
M. N'zi, E. Pardoux, T. Yeo
We study in this paper a compartmental SIR model for a population distributed in a bounded domain D of , d= 1, 2, or 3. We describe a spatial model for the spread of…
Metastability between the clicks of Muller's ratchet
Mauro Mariani, Etienne Pardoux, Aurélien Velleret
We prove the existence and uniqueness of a quasi-stationary distribution for three stochastic processes derived from the model of Muller's ratchet. This model was invented with the…
Epidemic models with varying infectivity
Raphael Forien, Guodong Pang, Etienne Pardoux
We introduce an epidemic model with varying infectivity and general exposed and infectious periods, where the infectivity of each individual is a random function of the elapsed tim…
Multi-patch epidemic models with general exposed and infectious periods
Guodong Pang, Etienne Pardoux
We study multi-patch epidemic models where individuals may migrate from one patch to another in either of the susceptible, exposed/latent, infectious and recovered states. We assum…
Functional Limit Theorems for Non-Markovian Epidemic Models
Guodong Pang, Etienne Pardoux
We study non-Markovian stochastic epidemic models (SIS, SIR, SIRS, and SEIR), in which the infectious (and latent/exposing, immune) periods have a general distribution. We provide…