Stability and bifurcation of two kinds of three-dimensional fractional Lotka-Volterra systems
type: Item
instance of: scholarly article
title: Stability and bifurcation of two kinds of three-dimensional fractional Lotka-Volterra systems
zbMATH Open document ID: 1407.34016
DOI: 10.1155/2014/695871
author: Jinglei Tian
author: Yongguang Yu
author: Hu Wang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Two kinds of three-dimensional fractional Lotka-Volterra systems are discussed. For one system, the asymptotic stability of the equilibria is analyzed by providing some sufficient conditions. And bifurcation property is investigated by choosing the fractional order as the bifurcation parameter for the other system. In particular, the critical value of the fractional order is identified at which the Hopf bifurcation may occur. Furthermore, the numerical results are presented to verify the theoretical analysis.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7017045
Wikidata QID: Q59069073
describes a project that uses: FracPECE
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/695871
OpenAlex ID: W2066853130
cites work: Q3141902
cites work: Q4233638
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description: scientific article; zbMATH DE number 7017045