![](/images/graphics-bg.png)
Analysis of Effects of Delays and Diffusion on a Predator-Prey System
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A reaction-diffusion predator-prey system with two delays is investigated.
It is found that the spatially homogeneous periodic solution will occur when the sum of two delays crosses some critical values and Hopf bifurcation takes place.
For the fixed domain and diffusion, some numerical simulations are also given to illustrate the theoretical analysis.
In addition, special attention is paid to effects of diffusion on the bifurcating periodic solution.
It is found that the diffusion would lead to the bifurcating period solution to destabilize by calculating the relevant expression of the Floquet exponent.
American Psychological Association (APA)
Yang, Gaoxiang& Zhang, Fuchen. 2018. Analysis of Effects of Delays and Diffusion on a Predator-Prey System. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206051
Modern Language Association (MLA)
Yang, Gaoxiang& Zhang, Fuchen. Analysis of Effects of Delays and Diffusion on a Predator-Prey System. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1206051
American Medical Association (AMA)
Yang, Gaoxiang& Zhang, Fuchen. Analysis of Effects of Delays and Diffusion on a Predator-Prey System. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206051