Wasiur R KhudaBukhsh

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20192026

most citedPairwise accelerated failure time regression models for infectious disease transmission in close-contact groups with external sources of infection

2 citations · 2 across the 5 of their papers we have counts for

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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…

math.PR2026

Self-intersection local times for Volterra Gaussian processes in stochastic flows with interaction

Olga Izyumtseva, Wasiur R. KhudaBukhsh

In this paper, we study self-intersection local times for a stochastic process $x (u (\cdot), t)$ , where $u$ is a Gaussian process of the form $u (t) = \int_{0}^{t} k (t, s) d w (s)$ , $…

math.PR2025

Asymptotic Analysis of the Total Quasi-Steady State Approximation for the Michaelis--Menten Enzyme Kinetic Reactions

Arnab Ganguly, Wasiur R. KhudaBukhsh

We consider a stochastic model of the Michaelis-Menten (MM) enzyme kinetic reactions in terms of Stochastic Differential Equations (SDEs) driven by Poisson Random Measures (PRMs).…