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math.NA2026
A diffusion time-changed stochastic SIS epidemic model: well-posedness, long-time behavior, and numerical approximation
Xiaotong Li, Huaqian Zhou, Ruchun Zuo
In this paper, we propose and analyze a diffusion time-changed susceptible-infected-susceptible (SIS) epidemic model driven by time-changed Brownian motion. We prove that the propo…
math.NA2026
Invariant measures of the stochastic theta method for stochastic differential equations with super-linearly growing coefficients
Xiaotong Li, Wei Liu, Wenjie Xiao
The stochastic theta method is proposed to approximate invariant measures of stochastic differential equations (SDEs), both of whose drift and diffusion coefficients may grow super…