Persistence and nonpersistence of a food chain model with stochastic perturbation
type: Item
instance of: scholarly article
title: Persistence and nonpersistence of a food chain model with stochastic perturbation
zbMATH Open document ID: 1301.34064
DOI: 10.1155/2013/125089
author: Haihong Li
author: Fuzhong Cong
author: Daqing Jiang
author: Hongtu Hua
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its \(p\)th moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6306036
zbMATH Keywords: positive solution
zbMATH Keywords: \(p\)th moment is bounded
zbMATH Keywords: numerical simulations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/125089
OpenAlex ID: W2119484557
Wikidata QID: Q58915306
cites work: Q3895297
cites work: Global stability for infinite delay Lotka--Volterra type systems
cites work: Global asymptotic stability in a periodic Lotka-Volterra system
cites work: Q3764976
cites work: Persistence in stochastic food web models
cites work: Stability for multispecies population models in random environments
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: DELAY POPULATION DYNAMICS AND ENVIRONMENTAL NOISE
cites work: Stochastic Lotka-Volterra models with multiple delays
cites work: Q3959169
cites work: Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation
cites work: On competitive Lotka-Volterra model in random environments
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
cites work: Qualitative analysis of a stochastic ratio-dependent predator-prey system
cites work: Q4429919
cites work: Invariant distributions for multi-population models in random environments
cites work: Q3872262
cites work: Q4369402
cites work: Persistence and nonpersistence of a nonautonomous stochastic mutualism system
cites work: Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
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description: scientific article; zbMATH DE number 6306036