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STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE.
- Source :
- Journal of Biological Systems; Jun2023, Vol. 31 Issue 2, p417-435, 19p
- Publication Year :
- 2023
-
Abstract
- In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator–prey dynamics. [ABSTRACT FROM AUTHOR]
- Subjects :
- PREDATION
LOTKA-Volterra equations
HOPF bifurcations
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02183390
- Volume :
- 31
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Biological Systems
- Publication Type :
- Academic Journal
- Accession number :
- 164117564
- Full Text :
- https://doi.org/10.1142/S0218339023500146