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.
No takes yet. Share an insight, caveat, or question.
Kuo-Shung Cheng (1981) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: