Due to the continuous interference of environmental white noise, the dynamical behaviors of
a stochastic SIQR epidemic model with mean-reverting Ornstein–Uhlenbeck process and …

We use the Wong--Zakai approximation as an intermediate step to derive numerical
schemes for stochastic delay differential equations. By approximating the Brownian motion …

In this paper, we first study the mean square stability of numerical methods for stochastic
delay differential equations under a coupled condition on the drift and diffusion coefficients …

Abstract The Euler–Maruyama method is presented for linear stochastic Volterra integral
equations. Then the strong convergence property is analyzed for convolution kernels and …

This paper is concerned with the delay dependent stability of the stochastic exponential
Euler method for stochastic delay differential equations and stochastic delay partial …

Dynamics of a stochastic Logistic model with distributed delay are considered. We first
transfer a scalar stochastic Logistic model with strong kernel or weak kernel into an …

This paper focuses on explicit approximations for nonlinear stochastic delay differential
equations (SDDEs). Under less restrictive conditions, the truncated Euler-Maruyama (TEM) …

In this paper, we focus on the asymptotic mean square stability of stochastic delay ordinary
and partial differential equations. By virtue of root locus technique, the sufficient and …

We propose stabilized explicit stochastic Runge–Kutta methods of strong order one half for
Itô stochastic delay differential equations with one fixed delay. The family of the methods is …

In disease model systems, random noises and time delay factors play key role in interpreting
disease dynamics to comprehend deeper insights into the course of dynamics. An endeavor …