Open Access
2013 Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect
Gui-Quan Sun, Li Li, Zhen Jin, Zi-Ke Zhang, Tao Zhou
Abstr. Appl. Anal. 2013(SI13): 1-12 (2013). DOI: 10.1155/2013/921879


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.


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Gui-Quan Sun. Li Li. Zhen Jin. Zi-Ke Zhang. Tao Zhou. "Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect." Abstr. Appl. Anal. 2013 (SI13) 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095492
MathSciNet: MR3108486
Digital Object Identifier: 10.1155/2013/921879

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI13 • 2013
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