Asymptotic behavior of positive solutions of a competitive system subject to environmental noise
type: Item
instance of: scholarly article
title: Asymptotic behavior of positive solutions of a competitive system subject to environmental noise
zbMATH Open document ID: 1418.92138
DOI: 10.1155/2015/389638
author: Huili Xiang
author: Zhuang Fang
author: Zuxiong Li
author: Zhijun Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A competitive system subject to environmental noise is established. By using the theory of stochastic differential equations and Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above system are established, respectively. An example together with its corresponding numerical simulations is presented to confirm our analytical results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 7025340
Wikidata QID: Q59105865
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/389638
OpenAlex ID: W1970693247
cites work: Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
cites work: A predator-prey model with disease in the prey and two impulses for integrated pest management
cites work: Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays
cites work: The genic mutation on dynamics of a predator-prey system with impulsive effect
cites work: Heteroclinic bifurcations of a prey-predator fishery model with impulsive harvesting
cites work: Stability of artificial neural networks with impulses
cites work: Coexistence and partial extinction in a delay competitive system subject to impulsive harvesting and stocking
cites work: An almost periodic competitive system subject to impulsive perturbations
cites work: Q4086525
cites work: Q3764976
cites work: Foundations of Modern Probability
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: Long term behavior of solutions of the Lotka-Volterra system under small random perturbations.
cites work: Existence, uniqueness and global asymptotic stability of positive solutions of a predator-prey system with Holling II functional response with random perturbation
cites work: Dynamics of a two-prey one-predator system in random environments
cites work: Stability of a novel stochastic epidemic model with double epidemic hypothesis
cites work: Qualitative analysis of a stochastic predator-prey system with disease in the predator
cites work: Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
cites work: Stochastic Lotka-Volterra system with infinite delay
cites work: Analysis of autonomous Lotka-Volterra competition systems with random perturbation
cites work: Global asymptotic stability of a general stochastic Lotka-Volterra system with delays
cites work: Stochastic Lotka-Volterra models with multiple delays
cites work: Q4003237
cites work: Q3262986
cites work: Stochastic versions of the LaSalle theorem
cites work: Q4002114
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
description: scientific article; zbMATH DE number 7025340