Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect

被引：5
作者：
Sun, Gui-Quan [1 ,2 ,3 ,4 ]
Li, Li [5 ]
Jin, Zhen [1 ,2 ]
Zhang, Zi-Ke [3 ]
Zhou, Tao [6 ]
机构：
[1] Shanxi Univ, Complex Sci Ctr, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
[3] Hangzhou Normal Univ, Inst Informat Econ, Hangzhou 310036, Zhejiang, Peoples R China
[4] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
[5] Taiyuan Inst Technol, Dept Math, Taiyuan 030008, Shanxi, Peoples R China
[6] Univ Elect Sci & Technol China, Web Sci Ctr, Chengdu 610054, Sichuan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
PATCHY INVASION; CHAOS; BEHAVIOR; MODELS;
D O I：
10.1155/2013/921879
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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收藏
页数：12
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