A strongly coupled predator-prey system with non-monotonic functional response

被引：35

作者：

Chen, Xinfu

Qi, Yuanwei ^{[1
]}

Wang, Mingxin

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Southeast Univ, Dept Appl Math, Nanjing 210018, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 06期

基金：

美国国家科学基金会;

关键词：

cross-diffusion; predator-prey model; non-constant positive steady states; CROSS-DIFFUSION; GROUP DEFENSE; MODEL; ENRICHMENT; BEHAVIOR; KINETICS; PARADOX;

D O I：

10.1016/j.na.2006.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The predator-prey system with non-monotonic functional response is an interesting field of theoretical study. In this paper we consider a strongly coupled partial differential equation model with a non-monotonic functional response-a Holling type-IV function in a bounded domain with no flux boundary condition. We prove a number of existence and non-existence results concerning non-constant steady states (patterns) of the underlying system. In particular, we demonstrate that cross-diffusion can create patterns when the corresponding model without cross-diffusion fails. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1966 / 1979

页数：14

共 31 条

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