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Hopf Bifurcation Analysis for a Semiratio-Dependent Predator-Prey System with Two Delays
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with a semiratio-dependent predator-prey system with nonmonotonic functional response and two delays.
It is shown that the positive equilibrium of the system is locally asymptotically stable when the time delay is small enough.
Change of stability of the positive equilibrium will cause bifurcating periodic solutions as the time delay passes through a sequence of critical values.
The properties of Hopf bifurcation such as direction and stability are determined by using the normal form method and center manifold theorem.
Numerical simulations confirm our theoretical findings.
American Psychological Association (APA)
Zhao, Ming. 2013. Hopf Bifurcation Analysis for a Semiratio-Dependent Predator-Prey System with Two Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-476188
Modern Language Association (MLA)
Zhao, Ming. Hopf Bifurcation Analysis for a Semiratio-Dependent Predator-Prey System with Two Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-476188
American Medical Association (AMA)
Zhao, Ming. Hopf Bifurcation Analysis for a Semiratio-Dependent Predator-Prey System with Two Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-476188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476188