A predator-prey interaction model with self and cross-diffusion

被引：125

作者：

Dubey, B ^{[1
]}

Das, B ^{[1
]}

Hussain, J ^{[1
]}

机构：

[1] Tezpur Univ, Sch Sci & Technol, Dept Math Sci, Napaam 784028, Assam, India

来源：

ECOLOGICAL MODELLING | 2001年 / 141卷 / 1-3期

关键词：

cross-diffusion; critical wave-length; predator-prey; stability;

D O I：

10.1016/S0304-3800(01)00255-1

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

In this paper, a mathematical model for a predator-prey interaction with self and cross-diffusion is proposed and analysed. Criteria for local stability. instability and global stability are obtained. The effect of the critical wave length which can drive a system to instability is investigated. The effect of time-varying cross-diffusivity on the stability of the system is also examined. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：67 / 76

页数：10

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