Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects

S Zhang, X Meng, T Feng, T Zhang - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
In this paper, we propose a stochastic non-autonomous Lotka–Volterra predator–prey model
with impulsive effects and investigate its stochastic dynamics. We first prove that the …

Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis

H Qi, L Liu, X Meng - Complexity, 2017 - Wiley Online Library
We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with
nonlinear incidence rate and double epidemic hypothesis. By constructing suitable …

Dynamical Analysis of a Class of Prey‐Predator Model with Beddington‐DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input

F Bian, W Zhao, Y Song, R Yue - Complexity, 2017 - Wiley Online Library
A stochastic prey‐predator system in a polluted environment with Beddington‐DeAngelis
functional response is proposed and analyzed. Firstly, for the system with white noise …

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 …

Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation

Y Zhao, S Yuan, T Zhang - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
Phytoplankton allelopathy is an ecological phenomenon that concerns the interaction
among toxic-producing phytoplankton. Recently, researchers pay great attention to whether …

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 …

Stationary distribution and periodic solution for stochastic predator-prey systems with nonlinear predator harvesting

W Zuo, D Jiang - Communications in Nonlinear Science and Numerical …, 2016 - Elsevier
In this paper, we investigate the dynamics of the stochastic autonomous and non-
autonomous predator-prey systems with nonlinear predator harvesting respectively. For the …

Periodic solutions for a stochastic non-autonomous Holling–Tanner predator–prey system with impulses

W Zuo, D Jiang - Nonlinear Analysis: Hybrid Systems, 2016 - Elsevier
A stochastic non-autonomous Holling–Tanner predator–prey system with impulsive effect is
investigated. First, we prove the existence and uniqueness of the global positive solution by …

The periodic solutions of a stochastic chemostat model with periodic washout rate

L Wang, D Jiang, D O'Regan - Communications in Nonlinear Science and …, 2016 - Elsevier
A stochastic chemostat model with periodic washout rate is proposed in this paper. First,
sufficient conditions are established for the existence of stochastic nontrivial positive …

Threshold dynamics and probability density functions of a stochastic predator–prey model with general distributed delay

B Han, D Jiang - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
Predator–prey interactions are among the most complicated interactions between biological
species, in which there may be both delay digestion and stochastic fluctuation. In the …