Global asymptotics in some quasimonotone reaction-diffusion systems with delays

被引：53
作者：
Freedman, HI
Zhao, XQ
机构：
[1] Department of Mathematical Sciences, University of Alberta, Edmonton
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1997年 / 137卷 / 02期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1006/jdeq.1997.3264
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Both dichotomy and trichotomy on the global asymptotics of some quasimonotone reaction-diffusion systems with delays are established in terms of the principal eigenvalue of linear weakly coupled elliptic systems. Applications to a class of delayed reaction-diffusion models of single species growth and to a reaction-diffusion system with delay, modelling the spread of bacterial infections, are provided. (C) 1997 Academic Press.
引用
收藏
页码：340 / 362
页数：23
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