Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems

被引：91
|
作者：
Wang, Jinfeng [1 ,2 ]
Wei, Junjie [3 ]
Shi, Junping [4 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
[2] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China
[3] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China
[4] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 04期
关键词：
Reaction diffusion; Pattern formation; Global bifurcation; Predator prey; LENGYEL-EPSTEIN SYSTEM; LIMIT-CYCLE; BRUSSELATOR; MODEL; DYNAMICS;
D O I：
10.1016/j.jde.2015.10.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamics of a general diffusive predator prey system is considered. Existence and nonexistence of non-constant positive steady state solutions are shown to identify the ranges of parameters of spatial pattern formation. Bifurcations of spatially homogeneous and nonhomogeneous periodic solutions as well as non-constant steady state solutions are studied. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：3495 / 3523
页数：29
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