Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays
Joint Authors
Yang, Huizhong
Zhang, Zizhen
Liu, Juan
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-08
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A modified Holling-Tanner predator-prey system with multiple delays is investigated.
By analyzing the associated characteristic equation, the local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are established.
Direction and stability of the periodic solutions are obtained by using normal form and center manifold theory.
Finally, numerical simulations are carried out to substantiate the analytical results.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Huizhong& Liu, Juan. 2012. Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-456162
Modern Language Association (MLA)
Zhang, Zizhen…[et al.]. Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-456162
American Medical Association (AMA)
Zhang, Zizhen& Yang, Huizhong& Liu, Juan. Stability and Hopf Bifurcation in a Modified Holling-Tanner Predator-Prey System with Multiple Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-456162
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456162
