2 citations · 3 across the 3 of their papers we have counts for
5 papers
Wolbachia invasion to wild mosquito population in stochastic environment
Yuanping Cui, Xiaoyue Li, Xuerong Mao +1
Releasing sterile Wolbachia-infected mosquitoes to invade wild mosquito population is a method of mosquito control. In this paper, a stochastic mosquito population model with Wolba…
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…
Mean Square Polynomial Stability of Numerical Solutions to a Class of Stochastic Differential Equations
Mohammud Foondun, Wei Liu, Xuerong Mao
The exponential stability of numerical methods to stochastic differential equations (SDEs) has been widely studied. In contrast, there are relatively few works on polynomial stabil…
Khasminskii-Type Theorem and LaSalle-Type Theorem for Stochastic Evolution Delay Equations
Jianhai Bao, Xuerong Mao, Chenggui Yuan
In this paper we study the well-known Khasminskii-Type Theorem, i.e. the existence and uniqueness of solutions of stochastic evolution delay equations, under local Lipschitz condit…