Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays
Joint Authors
Zhao, Huitao
Lin, Yiping
Dai, Yunxian
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A ratio-dependent predator-prey model with two time delays is studied.
By means of an iteration technique, sufficient conditions are obtained for the global attractiveness of the positive equilibrium.
By comparison arguments, the global stability of the semitrivial equilibrium is addressed.
By using the theory of functional equation and Hopf bifurcation, the conditions on which positive equilibrium exists and the quality of Hopf bifurcation are given.
Using a global Hopf bifurcation result of Wu (1998) for functional differential equations, the global existence of the periodic solutions is obtained.
Finally, an example for numerical simulations is also included.
American Psychological Association (APA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. 2013. Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-463407
Modern Language Association (MLA)
Zhao, Huitao…[et al.]. Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-463407
American Medical Association (AMA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-463407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463407