Dynamics of a general stochastic nonautonomous Lotka-Volterra model with delays and impulsive perturbations
type: Item
instance of: scholarly article
title: Dynamics of a general stochastic nonautonomous Lotka-Volterra model with delays and impulsive perturbations
zbMATH Open document ID: 1338.34161
DOI: 10.1155/2015/824507
author: Yongguang Yu
author: Shuo Zhang
author: Qing Wang
published in: Advances in Mathematical Physics
publication date: 2016-05-02T00:00:00Z
review text: Summary: A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 37C60
zbMATH DE Number: 6575733
zbMATH Keywords: extinction
zbMATH Keywords: weak persistence
zbMATH Keywords: stochastic permanence
Wikidata QID: Q59102562
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/824507
OpenAlex ID: W2174641792
cites work: Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses and infinite delays
cites work: Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls
cites work: Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays
cites work: Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays
cites work: On permanence of Lotka-Volterra systems with delays and variable intrinsic growth rates
cites work: Global asymptotic stability in Volterra's population systems
cites work: Delay differential equations: with applications in population dynamics
cites work: Persistence in stochastic food web models
cites work: Q3764976
cites work: Anti-periodic solutions to nonlinear evolution equations
cites work: Q4429919
cites work: Global asymptotic stability of a stochastic Lotka-Volterra model with infinite delays
cites work: Q3995625
cites work: Q4325523
cites work: Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses
cites work: Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations
cites work: Asymptotic behavior of a stochastic nonautonomous Lotka-Volterra competitive system with impulsive perturbations
cites work: \(N\)-species non-autonomous Lotka-Volterra competitive systems with delays and impulsive perturbations
cites work: The threshold of survival for system of two species in polluted environment
cites work: Persistence in population models with demographic fluctuations
cites work: Persistence and extinction of a stochastic logistic model with delays and impulsive perturbation
cites work: Permanence of a logistic type impulsive equation with infinite delay
cites work: Permanence, extinction and global attractivity of the periodic Gilpin-Ayala competition system with impulses
cites work: On a stochastic logistic equation with impulsive perturbations
cites work: Almost sure exponential stability of neutral stochastic differential difference equations
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
cites work: Qualitative behaviour of numerical approximations to Volterra integro-differential equations
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description: scientific article; zbMATH DE number 6575733