Sharp spatial patterns of the diffusive Holling-Tanner prey-predator model in heterogeneous environment

被引：16
|
作者：
Wang, Mingxin [1 ,2 ]
Pang, Peter Y. H. [3 ]
Chen, Wenyan [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China
[3] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2008年 / 73卷 / 05期
基金：
美国国家科学基金会;
关键词：
Holling-Tanner prey-predator model; heterogeneous environments; diffusion; positive steady states; spatial patterns;
D O I：
10.1093/imamat/hxn016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies positive steady-state solutions of the diffusive Holling-Tanner prey-predator model in heterogeneous environments subject to the homogeneous Neumann boundary condition. In particular, it investigates the appearance of sharp spatial patterns arising from degeneracies of the model.
引用
收藏
页码：815 / 835
页数：21
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