Relaxation oscillation profile of limit cycle in predator-prey system | Zendy

SzeBi Hsu | Zendy; Junping Shi | Zendy

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Relaxation oscillation profile of limit cycle in predator-prey system

Author(s) -

SzeBi Hsu,

Junping Shi

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2009.11.893

Subject(s) - heaviside step function , limit cycle , predation , predator , limit (mathematics) , oscillation (cell signaling) , mathematics , relaxation (psychology) , statistical physics , function (biology) , control theory (sociology) , mathematical analysis , physics , biology , ecology , computer science , genetics , control (management) , neuroscience , artificial intelligence , evolutionary biology

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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