UNIQUENESS OF A LIMIT CYCLE FOR A PREDATOR-PREY SYSTEM*

@article{Cheng1981UNIQUENESSOA,
  title={UNIQUENESS OF A LIMIT CYCLE FOR A PREDATOR-PREY SYSTEM*},
  author={Kuo‐shung Cheng},
  journal={Siam Journal on Mathematical Analysis},
  year={1981},
  volume={12},
  pages={541-548}
}
  • Kuo‐shung Cheng
  • Published 1 July 1981
  • Mathematics
  • Siam Journal on Mathematical Analysis
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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