The effects of temporal delays in a model for a food-limited, diffusing population

被引：25

作者：

Davidson, FA ^{[1
]}

Gourley, SA

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[2] Univ Surrey, Dept Math & Stat, Guildford GU2 5XH, Surrey, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 261卷 / 02期

基金：

英国生物技术与生命科学研究理事会;

关键词：

reaction-diffusion; delay; stability;

D O I：

10.1006/jmaa.2001.7563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an adaptation of the well-known logistic equation in mathematical ecology in which the population is assumed to diffuse and for which the average growth rate is a function of some specified delayed argument. Using a combination of analytical and numerical techniques, we investigate the existence, uniqueness, and asymptotic stability of the nonnegative steady states of this equation. (C) 2001 Academic Press.

引用

页码：633 / 648

页数：16

共 13 条

[1]

[Anonymous], 1989, GEOMETRIC THEORY SEM

[2]

Crandal M.G., 1971, J. Funct. Anal, V8, P321, DOI 10.1016/0022-1236(71)90015-2

[3] On diffusive population models with toxicants and time delays [J].