Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional Response
Joint Authors
Fu, Ming
Zhang, Zizhen
Liu, Juan
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-18
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We analyze a delayed Holling-Tanner predator-prey system with ratio-dependent functional response.
The local asymptotic stability and the existence of the Hopf bifurcation are investigated.
Direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are studied by deriving the equation describing the flow on the center manifold.
Finally, numerical simulations are presented for the support of our analytical findings.
American Psychological Association (APA)
Liu, Juan& Zhang, Zizhen& Fu, Ming. 2012. Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional Response. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028843
Modern Language Association (MLA)
Liu, Juan…[et al.]. Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional Response. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1028843
American Medical Association (AMA)
Liu, Juan& Zhang, Zizhen& Fu, Ming. Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional Response. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028843
