On a predator-prey system of Holling type

被引：103
|
作者：
Sugie, J
Kohno, R
Miyazaki, R
机构：
[1] SHINSHU UNIV,FAC SCI,DEPT MATH,MATSUMOTO,NAGANO 390,JAPAN
[2] UNIV OSAKA PREFECTURE,DEPT MATH SCI,SAKAI,OSAKA 593,JAPAN
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 07期
关键词：
limit cycles; global asymptotic stability; predator-prey system; functional response;
D O I：
10.1090/S0002-9939-97-03901-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our result extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino.
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页码：2041 / 2050
页数：10
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