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Author

O. Izyumtseva

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Preprint Sep 2026

Coloured Epidemic Models: Functional Law of Large Numbers and Propagation of Chaos

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 infectiousness of the infector and the infectee. Such models allow explicit nonlinearity in the incidence term. They are also important from a p...

Kushankur Dutta, O. Izyumtseva, Wasiur R. KhudaBukhsh et al. · 0 citations
Preprint Aug 2026

From Individual-Based Stochastic Epidemics to Heterogeneous SIR Equations

A stochastic framework for a broad class of heterogeneous SIR epidemic models with persistent individual heterogeneity that provides a unified probabilistic foundation for deterministic epidemic models with persistent individual heterogeneity is developed.

O. Izyumtseva, Wasiur R. KhudaBukhsh, M. Gomes et al. · 0 citations

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