This paper develops a model for describing a stochastic age-dependent population system
(SADPS) with Lévy noise in a polluted environment. As the model includes a nonlinear drift …

In this paper, we first investigate the well-posedness and regularity of mild solution to a
stochastic active fluids model driven by the additive noise. A fully-discrete scheme is …

In this study, a numerical scheme to a system of second-kind linear Fredholm integral
equations featuring a Green's kernel function is proposed. This involves introducing Galerkin …

In face detection, the Adaptive Boosting (AdaBoost) algorithm consumes a long training time
and faces a high false positive rate. To solve these problems, this paper puts forward an …

In this paper, we study the numerical approximation of a general second order semilinear
stochastic partial differential equation (SPDE) driven by a additive fractional Brownian …

In this paper, the numerical method for semi-linear stochastic variable delay integro-
differential equations is studied. The stability of analytic solutions of semi-linear stochastic …

The aim of this work is to provide the strong convergence results of numerical
approximations of a general second order non-autonomous semilinear stochastic partial …

In this work, we provide the first strong convergence result of numerical approximation of a
general second order semilinear stochastic fractional order evolution equation involving a …

Stochastic mathematical models have received increasing attention for their ability of
representing intrinsic uncertainty in complex systems, eg, representing various scales in …