Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion
Joint Authors
Wang, Hailing
Yan, Shuling
Lian, Xinze
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the effect of time delay and cross diffusion on the dynamics of a modified Leslie-Gower predator-prey model incorporating a prey refuge.
Based on the stability analysis, we demonstrate that delayed feedback may generate Hopf and Turing instability under some conditions, resulting in spatial patterns.
One of the most interesting findings is that the model exhibits complex pattern replication: the model dynamics exhibits a delay and diffusion controlled formation growth not only to spots, stripes, and holes, but also to spiral pattern self-replication.
The results indicate that time delay and cross diffusion play important roles in pattern formation.
American Psychological Association (APA)
Lian, Xinze& Yan, Shuling& Wang, Hailing. 2013. Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-449488
Modern Language Association (MLA)
Lian, Xinze…[et al.]. Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-449488
American Medical Association (AMA)
Lian, Xinze& Yan, Shuling& Wang, Hailing. Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-449488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449488