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Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A class of three-dimensional Gause-type predator-prey model with delay is considered.
Firstly, a group of sufficient conditions for the existence of Hopf bifurcation is obtained via employing the polynomial theorem by analyzing the distribution of the roots of the associated characteristic equation.
Secondly, the direction of the Hopf bifurcation and the stability of the bifurcated periodic solutions are determined by applying the normal form method and the center manifold theorem.
Finally, some numerical simulations are carried out to illustrate the obtained results.
American Psychological Association (APA)
Guo, Shuang& Jiang, Weihua. 2012. Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-466043
Modern Language Association (MLA)
Guo, Shuang& Jiang, Weihua. Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-466043
American Medical Association (AMA)
Guo, Shuang& Jiang, Weihua. Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-466043
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466043