Abstract
In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first. Several kinds of bifurcation phenomena, which the model may undergo, such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation, are studied second. Bifurcation diagram for Bogdanov-Takens bifurcation of codimension 2 is given. Then, possible dynamical behaviors of this model are illustrated by numerical simulations. This paper appears to be the first study of the modified Holling-Tanner model that includes the influence of a strong Allee effect.
| Original language | English |
|---|---|
| Pages (from-to) | 15524-15543 |
| Number of pages | 20 |
| Journal | Mathematical Biosciences and Engineering |
| Volume | 20 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2023 |
Keywords
- Bogdanov-Takens bifurcation
- Holling-Tanner model
- codimension
- coexistence
- strong Allee effect
Fingerprint
Dive into the research topics of 'Analysis of modified Holling-Tanner model with strong Allee effect'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver