5 papers · 1 filter
Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs
Guodong Pang, Ãtienne 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…
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…
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…
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…