Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System
Joint Authors
Liu, Yanwei
Wang, Jinling
Liu, Xia
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-22
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A delayed predator prey system with refuge and constant rate harvesting is discussed by applying the normal form theory of retarded functional differential equations introduced by Faria and Magalhães.
The analysis results show that under some conditions the system has a Bogdanov-Takens singularity.
A versal unfolding of the system at this singularity is obtained.
Our main results illustrate that the delay has an important effect on the dynamical behaviors of the system.
American Psychological Association (APA)
Liu, Xia& Liu, Yanwei& Wang, Jinling. 2013. Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-506429
Modern Language Association (MLA)
Liu, Xia…[et al.]. Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-506429
American Medical Association (AMA)
Liu, Xia& Liu, Yanwei& Wang, Jinling. Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-506429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506429
