A diffusive predator-prey model in heterogeneous environment

被引：158

作者：

Du, YH ^{[1
]}

Hsu, SB

机构：

[1] Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 203卷 / 02期

关键词：

A priori estimate; coexistence; pattern; predator-prey;

D O I：

10.1016/j.jde.2004.05.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of the classical Lotka-Volterra model that seem to arise only in the heterogeneous case. Published by Elsevier Inc.

引用

页码：331 / 364

页数：34

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