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.
Recommended Citation
Hsu, Sze-Bi; Shi, Junping; and Shi, Junping, Relaxation Oscillation Profile of Limit Cycle in Predator-Prey System (2009). Discrete and Continuous Dynamical Systems-Series B, 11(4), 893-911.
10.3934/dcdsb.2009.11.893
DOI
10.3934/dcdsb.2009.11.893
COinS
