Stationary distribution and extinction of a multi-stage HIV model with nonlinear stochastic perturbation

C Lu, G Sun, Y Zhang - Journal of Applied Mathematics and Computing, 2022 - Springer
In this paper, we investigate a stochastic multi-stage model to evaluate the influence of
treatment intensification with the integrase inhibitor raltegravir on viral load and 2-LTR …

Stationary distribution and density function analysis of a stochastic epidemic HBV model

J Ge, W Zuo, D Jiang - Mathematics and Computers in Simulation, 2022 - Elsevier
In this paper, we present a stochastic hepatitis B virus (HBV) infection model and the
dynamic behaviors of the model are investigated. When the fraction of vertical transmission …

Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission

M Song, W Zuo, D Jiang, T Hayat - Journal of the Franklin Institute, 2020 - Elsevier
A stochastic compartmental model for cholera is investigated, which incorporates the effect
of two transmission pathways on the diseases via contaminated water. Multiple stages of …

Dynamical analysis and numerical simulations on a crowley-Martin predator-prey model in stochastic environment

C Lu - Applied Mathematics and Computation, 2022 - Elsevier
This paper systematically investigates a stochastic Crowley-Martin predator-prey model.
Firstly, we derive sufficient conditions for the existence of positive T-periodic solution for the …

Long-time behaviors of a stochastic cooperative Lotka–Volterra system with distributed delay

W Zuo, D Jiang, X Sun, T Hayat, A Alsaedi - Physica A: Statistical …, 2018 - Elsevier
This article focuses on a stochastic cooperative Lotka–Volterra system with distributed delay.
We first transfer the stochastic system with weak kernel into a degenerate stochastic system …

The dynamics of a harvested predator–prey system with Holling type IV functional response

X Liu, Q Huang - Biosystems, 2018 - Elsevier
The paper aims to investigate the dynamical behavior of a predator–prey system with
Holling type IV functional response in which both the species are subject to capturing. We …

Periodic solutions and stationary distribution for a stochastic predator-prey system with impulsive perturbations

C Lu, X Ding - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we consider a stochastic predator-prey system with Beddington-DeAngelis
functional response and impulsive perturbations. First, we prove that the model admits a …

Survival analysis of a stochastic predator–prey model with prey refuge and fear effect

Y **a, S Yuan - Journal of Biological Dynamics, 2020 - Taylor & Francis
In this paper, we propose and investigate a stochastic Holling type-II predator–prey model
with prey refuge and fear effect. We first prove the existence and uniqueness of the global …

Analysis of a stochastic predator–prey system with modified Leslie–Gower and Holling-type IV schemes

D Xu, M Liu, X Xu - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
In this paper, we investigate the dynamics of a stochastic predator–prey system with
modified Leslie–Gower and Holling-type IV schemes. We first show the existence and …

Stationary distribution and extinction of a stochastic nutrient‐phytoplankton‐zooplankton model with cell size

Q Zhao, S Liu, X Niu - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we study a stochastic nutrient‐phytoplankton‐zooplankton model with cell size
that represents the interaction between internal mechanism of species and external …