Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect
Joint Authors
Zhou, Tao
Sun, Gui-Quan
Li, Li
Jin, Zhen
Zhang, Zi-Ke
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate the spatial dynamics of a predator-prey system with Allee effect.
By using bifurcation analysis, the exact Turing domain is found in the parameters space.
Furthermore, we obtain the amplitude equations and determine the stability of different patterns.
In Turing space, it is found that predator-prey systems with Allee effect have rich dynamics.
Our results indicate that predator mortality plays an important role in the pattern formation of populations.
More specifically, as predator mortality rate increases, coexistence of spotted and stripe patterns, stripe patterns, spotted patterns, and spiral wave emerge successively.
The results enrich the finding in the spatial predator-prey systems well.
American Psychological Association (APA)
Sun, Gui-Quan& Li, Li& Jin, Zhen& Zhang, Zi-Ke& Zhou, Tao. 2013. Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-508359
Modern Language Association (MLA)
Sun, Gui-Quan…[et al.]. Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-508359
American Medical Association (AMA)
Sun, Gui-Quan& Li, Li& Jin, Zhen& Zhang, Zi-Ke& Zhou, Tao. Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-508359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508359