"Relaxation Oscillation Profile of Limit Cycle in Predator-Prey System" by Sze-Bi Hsu, Junping Shi et al.
 

Document Type

Article

Department/Program

Mathematics

Journal Title

Discrete and Continuous Dynamical Systems-Series B

Pub Date

2009

Volume

11

Issue

4

First Page

893

Abstract

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.

DOI

10.3934/dcdsb.2009.11.893

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