Spatially Nonhomogeneous Periodic Solutions in a Delayed Predator-Prey Model with Diffusion Effects
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-18
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper is concerned with a delayed predator-prey diffusion model with Neumann boundary conditions.
We study the asymptotic stability of the positive constant steady state and the conditions for the existence of Hopf bifurcation.
In particular, we show that large diffusivity has no effect on the Hopf bifurcation, while small diffusivity can lead to the fact that spatially nonhomogeneous periodic solutions bifurcate from the positive constant steady-state solution when the system parameters are all spatially homogeneous.
Meanwhile, we study the properties of the spatially nonhomogeneous periodic solutions applying normal form theory of partial functional differential equations (PFDEs).
American Psychological Association (APA)
Zhang, Jia-Fang. 2012. Spatially Nonhomogeneous Periodic Solutions in a Delayed Predator-Prey Model with Diffusion Effects. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-503747
Modern Language Association (MLA)
Zhang, Jia-Fang. Spatially Nonhomogeneous Periodic Solutions in a Delayed Predator-Prey Model with Diffusion Effects. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-503747
American Medical Association (AMA)
Zhang, Jia-Fang. Spatially Nonhomogeneous Periodic Solutions in a Delayed Predator-Prey Model with Diffusion Effects. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-503747
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503747