TY - JOUR
T1 - Canard Phenomenon and Dynamics for a Slow-Fast Leslie-Gower Prey-Predator Model with Monod-Haldane Function Response
AU - Wu , Xiao
AU - Ni , Mingkang
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 998
EP - 1021
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.998
UR - https://global-sci.org/intro/article_detail/jnma/23668.html
KW - Leslie-Gower prey-predator model, slow-fast system, canard explosion phenomenon, relaxation oscillation cycle, heteroclinic orbit, homoclinic
orbit.
AB - <p style="text-align: justify;">The geometrical singular perturbation theory has been successfully applied in studying a large range of mathematical biological models with
different time scales. In this paper, we use the geometrical singular perturbation theory to investigate a slow-fast Leslie-Gower prey-predator model with
Monod-Haldane function response and get some interesting dynamical phenomena such as singular Hopf bifurcation, canard explosion phenomenon,
relaxation oscillation cycle, heteroclinic and homoclinic orbits and the coexistence of canard cycle and relaxation oscillation cycle.</p>