![](/images/graphics-bg.png)
Turing Patterns in a Predator-Prey System with Self-Diffusion
Joint Authors
Wen, Xiaoqing
Xiao, Xiaoyong
Yin, Hongwei
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
For a predator-prey system, cross-diffusion has been confirmed to emerge Turing patterns.
However, in the real world, the tendency for prey and predators moving along the direction of lower density of their own species, called self-diffusion, should be considered.
For this, we investigate Turing instability for a predator-prey system with nonlinear diffusion terms including the normal diffusion, cross-diffusion, and self-diffusion.
A sufficient condition of Turing instability for this system is obtained by analyzing the linear stability of spatial homogeneous equilibrium state of this model.
A series of numerical simulations reveal Turing parameter regions of the interaction of diffusion parameters.
According to these regions, we further demonstrate dispersion relations and spatial patterns.
Our results indicate that self-diffusion plays an important role in the spatial patterns.
American Psychological Association (APA)
Yin, Hongwei& Xiao, Xiaoyong& Wen, Xiaoqing. 2013. Turing Patterns in a Predator-Prey System with Self-Diffusion. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-505860
Modern Language Association (MLA)
Yin, Hongwei…[et al.]. Turing Patterns in a Predator-Prey System with Self-Diffusion. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-505860
American Medical Association (AMA)
Yin, Hongwei& Xiao, Xiaoyong& Wen, Xiaoqing. Turing Patterns in a Predator-Prey System with Self-Diffusion. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-505860
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505860