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math.PR2025
Hybrid Stochastic Functional Differential Equations with Infinite Delay: Approximations and Numerics
Guozhen Li, Xiaoyue Li, Xuerong Mao +1
This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE) with infinite delay can be approximated by the solution of the correspon…
math.PR2023
Explicit approximation of the invariant measure for SDDEs with the nonlinear diffusion term
Li Xiaoyue, Mao Xuerong, Song guoting
To our knowledge, the existing measure approximation theory requires the diffusion term of the stochastic delay differential equations (SDDEs) to be globally Lipschitz continuous.…
math.PR2019
Dynamical Behaviors of the Tumor-immune System in a Stochastic Environment
Xiaoyue Li, Guoting Song, Yang Xia +1
This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T lymphocyte (CTL) to the g…