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Uniqueness of a Limit Cycle for a Predator-Prey System
Kuo-Shung Cheng
Source abstract
The uniqueness of a limit cycle for a predator-prey system is proved in this paper. We assume that in the absence of predation the prey regenerates by logistic growth and the predator feeds on the prey with a saturating functional response to prey density. Specifically, we assume that Michaelis–Menten kinetics describe how feeding rates and birth rates change with increasing prey density.
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