Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model
Joint Authors
Cai, Yongli
Wang, Weiming
Guo, Zhengguang
Zhu, Yanuo
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate the spatiotemporal dynamics induced by Allee effect in a reaction-diffusion predator-prey model.
In the case without Allee effect, there is nonexistence of diffusion-driven instability for the model.
And in the case with Allee effect, the positive equilibrium may be unstable under certain conditions.
This instability is induced by Allee effect and diffusion together.
Furthermore, via numerical simulations, the model dynamics exhibits both Allee effect and diffusion controlled pattern formation growth to holes, stripes-holes mixture, stripes, stripes-spots mixture, and spots replication, which shows that the dynamics of the model with Allee effect is not simple, but rich and complex.
American Psychological Association (APA)
Wang, Weiming& Cai, Yongli& Zhu, Yanuo& Guo, Zhengguang. 2013. Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475616
Modern Language Association (MLA)
Wang, Weiming…[et al.]. Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-475616
American Medical Association (AMA)
Wang, Weiming& Cai, Yongli& Zhu, Yanuo& Guo, Zhengguang. Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475616