Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-07
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
A delayed predator-prey system with stage structure for the predator is investigated.
By analyzing the corresponding characteristic equations, the local stability of equilibria of the system is discussed.
The existence of Hopf bifurcation at the positive equilibrium is established.
By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and two boundary equilibria of the system.
Numerical simulations are carried out to illustrate the theoretical results.
American Psychological Association (APA)
Zhang, Xiao& Xu, Rui& Gan, Qintao. 2009. Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-24.
https://search.emarefa.net/detail/BIM-460423
Modern Language Association (MLA)
Zhang, Xiao…[et al.]. Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-24.
https://search.emarefa.net/detail/BIM-460423
American Medical Association (AMA)
Zhang, Xiao& Xu, Rui& Gan, Qintao. Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-24.
https://search.emarefa.net/detail/BIM-460423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460423
