Analysis of the limit cycle properties of a fast–slow predator–prey system

We consider fast-slow planar systems of predator–prey models with the prey growing much faster than the predator. By using basic differential and integral calculus, Lyapunov functions and phase plane analysis, other than the geometric singular perturbation theory, we derive that the limit cycle exhi...

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Bibliographic Details
Main Authors: Nan Zhang, Jinfeng Wang
Format: Article
Language:English
Published: University of Szeged 2018-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7114