Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation
type: Item
instance of: scholarly article
title: Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation
zbMATH Open document ID: 1254.34074
author: Meng Liu
author: Ke Wang
published in: Applied Mathematical Modelling
publication date: 2013-01-13T00:00:00Z
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 6124858
zbMATH Keywords: non-autonomous predator
zbMATH Keywords: prey model
zbMATH Keywords: stochastic perturbation
zbMATH Keywords: persistence
zbMATH Keywords: extinction
zbMATH Keywords: global asymptotical stability
MaRDI profile type: Publication
full work available at URL: j.apm.2011.12.057
OpenAlex ID: W1987762263
Wikidata QID: Q115587865
cites work: Q3895297
cites work: A nonautonomous model of population growth
cites work: The extinction in nonautonomous prey-predator Lotka-Volterra systems
cites work: Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
cites work: Permanence and stability of a stage-structured predator-prey model
cites work: Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications
cites work: Permanence and global asymptotical stability of a predator-prey model with mutual interference
cites work: Persistence in stochastic food web models
cites work: Q4732346
cites work: Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
cites work: Q4429919
cites work: Long-time behaviour of a stochastic prey--predator model.
cites work: Influence of stochastic perturbation on prey-predator systems
cites work: Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
cites work: Stochastic Population Systems
cites work: Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
cites work: Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
cites work: Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
cites work: Long term behaviors of stochastic single-species growth models in a polluted environment
cites work: Long term behaviors of stochastic single-species growth models in a polluted environment. II
cites work: Persistence and extinction of a population in a polluted environment
cites work: Permanence of a nonautonomous population model
cites work: Almost sure exponential stability of neutral stochastic differential difference equations
cites work: Q4002114
cites work: Q3262986
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
DOI: 10.1016/J.APM.2011.12.057
description: scientific article; zbMATH DE number 6124858