Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay
Joint Authors
Xue, Yakui
Xie, Boli
Wang, Zhijun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A predator-prey model with both cross diffusion and time delay is considered.
We give the conditions for emerging Turing instability in detail.
Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only of spots and stripe-like patterns, but also of the two coexist.
The obtained results show that this system has rich dynamics; these patterns show that it is useful for the diffusive predation model with a delay effect to reveal the spatial dynamics in the real model.
American Psychological Association (APA)
Xie, Boli& Wang, Zhijun& Xue, Yakui. 2014. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013833
Modern Language Association (MLA)
Xie, Boli…[et al.]. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013833
American Medical Association (AMA)
Xie, Boli& Wang, Zhijun& Xue, Yakui. Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013833
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013833