Spatiotemporal dynamics of a predator-prey model

被引:18
|
作者
Liu, Pan-Ping [2 ]
Xue, Yong [1 ]
机构
[1] N Univ China, Sch Mat Sci & Engn, Taiyuan 030051, Peoples R China
[2] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
关键词
Holling-Tanner; Spatial diffusion; Pattern formation; REACTION-DIFFUSION SYSTEMS; PATTERN-FORMATION; GLOBAL STABILITY; HOPF-BIFURCATION; CROSS-DIFFUSION; COMPLEXITY; PLANKTON;
D O I
10.1007/s11071-011-0246-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Spatial component of ecological interactions has been identified as an important factor in how ecological communities are shaped. In this paper, we consider a Holling-Tanner model with spatial diffusion. Choosing appropriate parameter values in parameter spaces, we obtain rich patterns, including spotted, black-eye, and labyrinthine patterns. The numerical results show that predator-prey system can exhibit complicated behavior.
引用
收藏
页码:71 / 77
页数:7
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