Global Stability and Bifurcations of a Diffusive Ratio-Dependent Holling-Tanner System
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey system subject to Neumann boundary conditions are considered.
By choosing the ratio of intrinsic growth rates of predators to preys as a bifurcation parameter, the existence and stability of spatially homogeneous and nonhomogeneous Hopf bifurcations and steady state bifurcation are investigated in detail.
Meanwhile, we show that Turing instability takes place at a certain critical value; that is, the stationary solution becomes unstable induced by diffusion.
Particularly, the sufficient conditions of the global stability of the positive constant coexistence are given by the upper-lower solutions method.
American Psychological Association (APA)
Zuo, Wenjie. 2013. Global Stability and Bifurcations of a Diffusive Ratio-Dependent Holling-Tanner System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483435
Modern Language Association (MLA)
Zuo, Wenjie. Global Stability and Bifurcations of a Diffusive Ratio-Dependent Holling-Tanner System. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-483435
American Medical Association (AMA)
Zuo, Wenjie. Global Stability and Bifurcations of a Diffusive Ratio-Dependent Holling-Tanner System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483435