Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-02
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
This paper is concerned with a diffusive predator-prey system with Beddington-DeAngelis functional response and delay effect.
By analyzing the distribution of the eigenvalues, the stability of the positive equilibrium and the existence of spatially homogeneous and spatially inhomogeneous periodic solutions are investigated.
Also, it is shown that the small diffusion can affect the Hopf bifurcations.
Finally, the direction and stability of Hopf bifurcations are determined by normal form theory and center manifold reduction for partial functional differential equations.
American Psychological Association (APA)
Bai, Yuzhen& Zhang, Xiaopeng. 2011. Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-473596
Modern Language Association (MLA)
Bai, Yuzhen& Zhang, Xiaopeng. Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay. Abstract and Applied Analysis No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-473596
American Medical Association (AMA)
Bai, Yuzhen& Zhang, Xiaopeng. Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-473596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473596