Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays
Joint Authors
Liu, Juan
Li, Yimin
Sun, Changwei
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with a Gause-type predator-prey system with two delays.
Firstly, we study the stability and the existence of Hopf bifurcation at the coexistence equilibrium by analyzing the distribution of the roots of the associated characteristic equation.
A group of sufficient conditions for the existence of Hopf bifurcation is obtained.
Secondly, an explicit formula for determining the stability and the direction of periodic solutions that bifurcate from Hopf bifurcation is derived by using the normal form theory and center manifold argument.
Finally, some numerical simulations are carried out to illustrate the main theoretical results.
American Psychological Association (APA)
Liu, Juan& Sun, Changwei& Li, Yimin. 2013. Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-498761
Modern Language Association (MLA)
Liu, Juan…[et al.]. Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-498761
American Medical Association (AMA)
Liu, Juan& Sun, Changwei& Li, Yimin. Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-498761
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498761