Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type

被引：54
|
作者：
Hsu, SB [1 ]
Hwang, TW
机构：
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
[2] Kaohsiung Normal Univ, Dept Math, Kaohsiung, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 1999年 / 3卷 / 01期
关键词：
Holling-Tanner model; predator-prey system; Andronov-Hopf bifurcation; multiple limit cycle;
D O I：
10.11650/twjm/1500407053
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Hopf bifurcation for the Holling-Tanner model, a well-known predator-prey model in mathematical ecology. We show that for some parameter ranges, the Hopf bifurcation is subcritical and thus the system may have multiple limit cycles.
引用
收藏
页码：35 / 53
页数：19
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