RELAXATION OSCILLATION PROFILE OF LIMIT CYCLE IN PREDATOR-PREY SYSTEM

被引：54

作者：

Hsu, Sze-Bi ^{[1
]}

Shi, Junping ^{[2
,3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[3] Harbin Normal Univ, Dept Math, Harbin 150025, Heilongjiang, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 04期

关键词：

Relaxation oscillator; limit cycle; predator-prey model; COMPETING PREDATORS; LYAPUNOV FUNCTIONS; UNIQUENESS; STABILITY; MODEL;

D O I：

10.3934/dcdsb.2009.11.893

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predator-prey system, we show that the solution curve of the limit cycle exhibits temporal patterns of a relaxation oscillator, or a Heaviside function, when certain parameter is small.

引用

页码：893 / 911

页数：19

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