Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator

被引：11
|
作者：
Wang, Xiaoqin [1 ]
Cai, Yongli [2 ]
Ma, Huihai [3 ]
机构：
[1] Shaanxi Univ Sci & Technol, Fac Sci, Xian 710021, Shaanxi, Peoples R China
[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
[3] Shaanxi Univ Sci & Technol, Coll Elect & Informat Engn, Xian 710021, Shaanxi, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷
关键词：
PATTERN-FORMATION; STABILITY; SYSTEM; CONSEQUENCES; SUBJECT;
D O I：
10.1155/2013/984960
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained. Local and global stability of the positive equilibrium and Turing instability are studied. With the help of the numerical simulations, the rich Turing patterns, including holes, stripes, and spots patterns, are obtained.
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页数：10
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