Relaxation oscillator profile of limit cycle in predator-prey system
نویسندگان
چکیده
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. MSC 2000: 34C26, 34C15, 34C07, 92D25
منابع مشابه
Relaxation Oscillation Profile of Limit Cycle in Predator-prey System
It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predatorprey 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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Many predator–prey systems with oscillatory behavior possess a unique limit cycle which is globally asymptotically stable. For a class of general predator–prey system, we show that the solution orbit of the limit cycle exhibits the temporal pattern of a relaxation oscillator, when a certain parameter is small. 2014 Elsevier Inc. All rights reserved.
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