Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
species, in which there may be both delay digestion and stochastic fluctuation. In the …