Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays
Joint Authors
Lin, Yiping
Zhao, Huitao
Dai, Yunxian
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider a predator-prey system with Michaelis-Menten type functional response and two delays.
We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf bifurcation, and then obtain explicit formulas to determine the properties of Hopf bifurcation by using the normal form method and center manifold theorem.
Special attention is paid to the global continuation of local Hopf bifurcation when the delays τ 1 ≠ τ 2 .
American Psychological Association (APA)
Dai, Yunxian& Lin, Yiping& Zhao, Huitao. 2014. Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1014872
Modern Language Association (MLA)
Dai, Yunxian…[et al.]. Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1014872
American Medical Association (AMA)
Dai, Yunxian& Lin, Yiping& Zhao, Huitao. Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1014872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014872
