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Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems
Joint Authors
Tian, Jinglei
Wang, Hu
Yu, Yongguang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tian, Jinglei& Yu, Yongguang& Wang, Hu. 2014. Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-491312
Modern Language Association (MLA)
Tian, Jinglei…[et al.]. Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-491312
American Medical Association (AMA)
Tian, Jinglei& Yu, Yongguang& Wang, Hu. Stability and Bifurcation of Two Kinds of Three-Dimensional Fractional Lotka-Volterra Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-491312
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491312