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Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-25
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A kind of homogeneous reaction-diffusion singular predator-prey model with no-flux boundary condition is considered.
By using the abstract simplified Hopf bifurcation theorem due to Yi et al.
2009, we performed detailed Hopf bifurcation analysis of this particular pattern formation system.
These results suggest the existence of oscillatory patterns if the system parameters fall into certain parameter ranges.
And all these oscillatory patterns are proved to be unstable.
American Psychological Association (APA)
Bao, Zhenhua& Liu, He. 2013. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-480457
Modern Language Association (MLA)
Bao, Zhenhua& Liu, He. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-480457
American Medical Association (AMA)
Bao, Zhenhua& Liu, He. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-480457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480457