Canard Phenomenon and Dynamics for a Slow-Fast Leslie-Gower Prey-Predator Model with Monod-Haldane Function Response
Year: 2024
Author: Xiao Wu, Mingkang Ni
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 998–1021
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.998
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 998–1021
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Leslie-Gower prey-predator model slow-fast system canard explosion phenomenon relaxation oscillation cycle heteroclinic orbit homoclinic orbit.