1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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.…
An explicit approximation for super-linear stochastic functional differential equations
Xiaoyue Li, Xuerong Mao, Guoting Song
Since it is difficult to implement implicit schemes on the infinite-dimensional space, we aim to develop the explicit numerical method for approximating super-linear stochastic fun…
The Strong Convergence and Stability of Explicit Approximations for Nonlinear Stochastic Delay Differential Equations
Guoting Song, Junhao Hu, Shuaibin Gao +1
This paper focuses on explicit approximations for nonlinear stochastic delay differential equations (SDDEs). Under the weakly local Lipschitz and some suitable conditions, a generi…
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…