Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced.
By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are obtained under all possible combinations of two or three delays selecting from multiple delays.
Not only explicit formulas to determine the properties of the Hopf bifurcation are shown by using the normal form method and center manifold theorem, but also the global continuation of Hopf bifurcation is investigated by applying a global Hopf bifurcation result due to Wu (1998).
Numerical simulations are given to support the theoretical results.
American Psychological Association (APA)
Meng, Xin-You& Huo, Hai-Feng. 2014. Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015148
Modern Language Association (MLA)
Meng, Xin-You& Huo, Hai-Feng. Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1015148
American Medical Association (AMA)
Meng, Xin-You& Huo, Hai-Feng. Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015148
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015148