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,re laxation oscillation cycle, heteroclinic and homoclinic orbits and the coexis-te nce of canard cycle and relaxation oscillation cycle.
| Original language | English |
|---|---|
| Pages (from-to) | 998-1021 |
| Number of pages | 24 |
| Journal | Journal of Nonlinear Modeling and Analysis |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2024 |
Keywords
- Leslie-Gower prey-predator model
- canard explosion phenomenon
- heteroclinic orbit
- homoclinic orbit
- relaxation oscillation cycle
- slow-fast system