Periodic solutions of periodic delay Lotka-Volterra equations and systems

被引：161

作者：

Li, YK ^{[1
]}

Kuang, Y

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 255卷 / 01期

关键词：

Lotka-Volterra equation; positive periodic solution; distributed delay; state-dependent delay; Fredholm mapping;

D O I：

10.1006/jmaa.2000.7248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka-Volterra equations and systems with distributed or state-dependent delays. Our results substantially extend and improve existing results. (C) 2001 Academic Press.

引用

页码：260 / 280

页数：21

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