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math.PR2026
Coloured Epidemic Models: Functional Law of Large Numbers and Propagation of Chaos
Kushankur Dutta, Olga Izyumtseva, Wasiur R. KhudaBukhsh +1
In this paper, we study a stochastic Susceptible-Infected-Removed (SIR) model where the infection and the recovery rates depend on individual covariates for susceptibility and infe…
math.PR2026
From Individual-Based Stochastic Epidemics to Heterogeneous SIR Equations
Olga Izyumtseva, Wasiur R. KhudaBukhsh, M. Gabriela M. Gomes +1
We develop a stochastic framework for a broad class of heterogeneous SIR epidemic models. In the finite-population construction, each initially susceptible individual is assigned a…