activity
20192021
most citedStrong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations

1 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA20211 cited

Explicit numerical approximation for logistic models with regime switching in finite and infinite horizons

Xiaoyue Li, Hongfu Yang

The stochastic logistic model with regime switching is an important model in the ecosystem. While analytic solution to this model is positive, current numerical methods are unable…

math.NA2020

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…

math.NA20201 cited

Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations

Xiaoyue Li, Xuerong Mao, Hongfu Yang

In this article we introduce several kinds of easily implementable explicit schemes, which are amenable to Khasminski's techniques and are particularly suitable for highly nonlinea…

math.OC2020

Delay Feedback Control for Switching Diffusion Systems Based on Discrete Time Observations

Xiaoyue Li, Xuerong Mao, Denis S. Mukama +1

For the sake of saving time and costs the feedback control based on discrete-time observations is used to stabilize the switching diffusion systems. Response lags are required by m…

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…