Relaxation oscillations of a piecewise-smooth slow-fast Bazykin's model with Holling type Ⅰ functional response
In this paper, we consider the dynamics of a slow-fast Bazykin's model with piecewise-smooth Holling type Ⅰ functional response. We show that the model has Saddle-node bifurcation and Boundary equilibrium bifurcation. Furthermore, it is also proven that the model has a homoclinic cycle, a heter...
Main Authors: | Xiao Wu, Shuying Lu, Feng Xie |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-09-01
|
Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023782?viewType=HTML |
Similar Items
-
Bifurcation analysis in a Holling-Tanner predator-prey model with strong Allee effect
by: Yingzi Liu, et al.
Published: (2023-03-01) -
Influence of fear effect on a Holling type III prey-predator system with the prey refuge
by: Binfeng Xie, et al.
Published: (2022-01-01) -
On the bifurcations of two periodic trajectories of a piecewise-smooth dynamical system with central symmetry
by: V.Sh. Roytenberg
Published: (2022-01-01) -
Complex Investigations of a Piecewise-Smooth Remanufacturing Bertrand Duopoly Game
by: Sameh Askar
Published: (2021-10-01) -
Stability, bifurcation, and chaos control in a discrete predator-prey model with strong Allee effect
by: Ali Al Khabyah, et al.
Published: (2023-01-01)