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.
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页码：260 / 280
页数：21
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