Relaxation Oscillation Profile of Limit Cycle in Predator-Prey System
Hsu, Sze-Bi Shi, Junping Shi, Junping
Hsu, Sze-Bi
Shi, Junping
Shi, Junping
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.
Description
Date
2009-01-01