Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Hopf bifurcation of a delayed predator-prey system with prey infection and the modified Leslie-Gower scheme is investigated.
The conditions for the stability and existence of Hopf bifurcation of the system are obtained.
The state feedback and parameter perturbation are used for controlling Hopf bifurcation in the system.
In addition, direction of Hopf bifurcation and stability of the bifurcated periodic solutions of the controlled system are obtained by using normal form and center manifold theory.
Finally, numerical simulation results are presented to show that the hybrid controller is efficient in controlling Hopf bifurcation.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Huizhong. 2013. Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491917
Modern Language Association (MLA)
Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-491917
American Medical Association (AMA)
Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491917