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

页码：815 / 835

页数：21

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