Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered.
The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given.
By using the center manifold reduction, the normal form theory, and the formulae developed by Xu and Huang, 2008 and Qiao et al., 2010, the normal forms and the versal unfoldings for this singularity are presented.
The Hopf bifurcation of the system at another interior equilibrium is analyzed by taking delay (small or large) as bifurcation parameter.
American Psychological Association (APA)
Liu, Xia& Wang, Jinling. 2013. Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484488
Modern Language Association (MLA)
Liu, Xia& Wang, Jinling. Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-484488
American Medical Association (AMA)
Liu, Xia& Wang, Jinling. Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484488
