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math.PR2025
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…
math.PR2025
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…
math.PR2025
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…