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Relaxation oscillation profile of limit cycle in predator-prey system

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  • 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.
    Mathematics Subject Classification: Primary: 34C26, Secondary: 34C15, 34C07, 92D25.

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