2 citations · 2 across the 8 of their papers we have counts for
9 papers
Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers
Armand Kanga, Etienne Pardoux
We consider a spatial SIR epidemic model where the infectivity of infected individuals depends upon their age of infection, and infections are non local. The domain is an unbounded…
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…
A SIR epidemic model on a refining spatial grid II-Central limit theorem
Thierry Gallouët, Etienne Pardoux, Ténan Yeo
A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by a partial differential equation…
Spatial SIR epidemic model with varying infectivity without movement of individuals: Law of Large Numbers
Armand Kanga, Etienne Pardoux
In this work, we use a new approach to study the spread of an infectious disease. Indeed, we study a SIR epidemic model with variable infectivity, where the individuals are distrib…
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…
Epidemic models with varying infectivity on a refining spatial grid. I. The SI model
Anicet Mougabe-Peurkor, Étienne Pardoux, Ténan Yeo
We consider a space-time SI epidemic model with infection age-dependent infectivity and non-local infections constructed on a grid of the torus , where the…
Stochastic epidemic models with varying infectivity and waning immunity
Raphaël Forien, Guodong Pang, Étienne Pardoux +1
We study an individual-based stochastic epidemic model in which infected individuals become susceptible again following each infection. In contrast to classical compartment models,…
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…
A Spatial Stochastic Epidemic Model: Law of Large Numbers and Central Limit Theorem
Samuel Bowong Tsakou, Alphonse Emakoua, Etienne Pardoux
We consider an individual-based SIR stochastic epidemic model in continuous space. The evolution of the epidemic involves the rates of infection and cure of individuals. We assume…