Article citationsMore>>

Krupa, M. and Wechselberger, M. (2010) Local Analysis near a Folded Saddle-Node Singularity. Journal of Differential Equations, 248, 2841-2888.
https://doi.org/10.1016/j.jde.2010.02.006

has been cited by the following article:

• TITLE: Canard Solutions in a Predator-Prey Model

  AUTHORS: Guojian Lin

  KEYWORDS: Canard Explosion, Relaxation Oscillation, Predator-Prey Model, Geometric Singular Perturbation Theory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.5, May 27, 2022

  ABSTRACT: The canard explosion phenomenon in a predator-prey model with Michaelis-Menten functional response is analyzed in this paper by employing the geometric singular perturbation theory. First, some turning points, such as, fold point, transcritical point, pitchfork point, canard point, are identified; then Hopf bifurcation, relaxation oscillation, together with the canard transition from Hopf bifurcation to relaxation oscillation are discussed.