226 citations · 612 across the 43 of their papers we have counts for
46 papers
Extinction time of an epidemic with infection age dependent infectivity
Anicet Mougabe-Peurkor, Ibrahima Drame, Modeste N'zi +1
This paper studies the distribution function of the time of extinction of a subcritical epidemic, when a large enough proportion of the population has been immunized and/or the inf…
Spatially dense stochastic epidemic models with infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study an individual-based stochastic spatial epidemic model where the number of locations and the number of individuals at each location both grow to infinity. Each individual i…
PDE model for multi-patch epidemic models with migration and infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered…
Central limit theorem for a spatial stochastic epidemic model with mean field interaction
Maxime Hauray, Etienne Pardoux, Yen V. Vuong
In this article, we study an interacting particle system in the context of epidemiology where the individuals (particles) are characterized by their position and infection state. W…
Conditional propagation of chaos in a spatial stochastic epidemic model with common noise
Yen V. Vuong, Maxime Hauray, Etienne Pardoux
We study a stochastic spatial epidemic model where the individuals carry two features: a position and an infection state, interact and move in . In this Markovian model,…
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…