Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System
Joint Authors
Cai, Yongli
Wang, Weiming
Yan, Shuling
Zhu, Yanuo
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-30
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
This work deals with the analysis of a delayed diffusive predator-prey system under Neumann boundary conditions.
The dynamics are investigated in terms of the stability of the nonnegative equilibria and the existence of Hopf bifurcation by analyzing the characteristic equations.
The direction of Hopf bifurcation and the stability of bifurcating periodic solution are also discussed by employing the normal form theory and the center manifold reduction.
Furthermore, we prove that the positive equilibrium is asymptotically stable when the delay is less than a certain critical value and unstable when the delay is greater than the critical value.
American Psychological Association (APA)
Zhu, Yanuo& Cai, Yongli& Yan, Shuling& Wang, Weiming. 2012. Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-463430
Modern Language Association (MLA)
Zhu, Yanuo…[et al.]. Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System. Abstract and Applied Analysis No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-463430
American Medical Association (AMA)
Zhu, Yanuo& Cai, Yongli& Yan, Shuling& Wang, Weiming. Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-463430
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463430