This paper discusses a randomized non-autonomous logistic equation dN(t)=N(t)[(a(t)−b(t)N(t))dt+α(t)dB(t)],
where B(t) is a 1-dimensional standard Brownian motion. In [DQ Jiang, NZ …

In this paper, we investigate the dynamics of a stochastic SIRS epidemic model with saturated
incidence. When the noise is small, we obtain a threshold of the stochastic system which …

In this paper, we investigate the threshold behaviour of a susceptible-infected-recovered (SIR)
epidemic model with stochastic perturbation. When the noise is small, we show that the …

In this paper, a stochastic epidemic model for cholera is proposed and investigated. Firstly,
we establish sufficient conditions for extinction of the disease. Then we establish sufficient …

In this paper, we include stochastic perturbations into SIR and SEIR epidemic models with
saturated incidence and investigate their dynamics according to the basic reproduction …

In this paper, we explore a stochastic SIR model and show that this model has a unique
global positive solution. Furthermore, we investigate the asymptotic behavior of this solution …

This paper is concerned with the long time behavior of a stochastic SIS epidemic model with
vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We …

In this study, considering the Ornstein–Uhlenbeck process to perturb the infection rate, we
develop a HTLV-I infection model with general infection form. By constructing several suitable …

In this paper, we consider the properties of Green’s function for the nonlinear fractional
differential equation boundary value problem where 3<α≤4 is a real number, and D 0+ α is the …

In this paper, we consider a predator–prey model with modified Leslie–Gower and Holling-type
II schemes with stochastic perturbation. We show there is a unique positive solution to …