Dynamical analysis of a stochastic predator-prey model with an Allee effect
type: Item
instance of: scholarly article
title: Dynamical analysis of a stochastic predator-prey model with an Allee effect
zbMATH Open document ID: 1288.92029
DOI: 10.1155/2013/340980
author: Feng Rao
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effects, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying the Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. A series of numerical simulations to illustrate these mathematical findings are presented.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 6306670
Wikidata QID: Q58915977
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/340980
OpenAlex ID: W2093099741
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description: scientific article; zbMATH DE number 6306670