Persistence and nonpersistence of a predator prey system with stochastic perturbation
type: Item
instance of: scholarly article
title: Persistence and nonpersistence of a predator prey system with stochastic perturbation
zbMATH Open document ID: 1474.92080
DOI: 10.1155/2014/720283
author: Haihong Li
author: Daqing Jiang
author: Fuzhong Cong
author: Haixia Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We analyze a predator prey model with stochastic perturbation. First, we show that this system has a unique positive solution. Then, we deduce conditions that the system is persistent in time average. Furthermore, we show the conditions that there is a stationary distribution of the system which implies that the system is permanent. After that, conditions for the system going extinct in probability are established. At last, numerical simulations are carried out to support our results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 7022943
Wikidata QID: Q59040896
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/720283
OpenAlex ID: W2055046066
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description: scientific article; zbMATH DE number 7022943