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Relaxation Oscillation Profile of Limit Cycle in Predator-Prey System

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.
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2009-01-01
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Mathematics
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relaxation_oscillation.pdf
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Mathematics
DOI
10.3934/dcdsb.2009.11.893
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https://scholarworks.wm.edu/handle/internal/446
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