Logo image
Relaxation oscillation profile of limit cycle in predator-prey system
Journal article   Open access   Peer reviewed

Relaxation oscillation profile of limit cycle in predator-prey system

Junping Shi
Discrete and Continuous Dynamical Systems - Series B, Vol.11(4), pp.893-911
06/2009

Abstract

Limit cycle Predator-prey model Relaxation oscillator
It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predatorprey 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.
url
https://doi.org/10.3934/dcdsb.2009.11.893View
Published (Version of record) Open

Related links

Metrics

1 Record Views

Details

Logo image