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Global Dynamics of a Predator–Prey Model with Simplified Holling Type IV Functional Response and Fear Effect.
- Source :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Jun2023, Vol. 33 Issue 8, p1-17, 17p
- Publication Year :
- 2023
-
Abstract
- In this paper, we study one type of predator–prey model with simplified Holling type IV functional response by incorporating the fear effect into prey species. The existence and stability of all equilibria of the system are studied. And bifurcation behaviors including saddle-node bifurcation, transcritical bifurcation and Hopf bifurcation of the system are completely explored. Numerical simulation is carried out to illustrate the theoretical analysis. It is shown that the fear effect does affect some dynamic behaviors of the system. Finally, we summarize the findings in a conclusion. [ABSTRACT FROM AUTHOR]
- Subjects :
- PREDATION
HOPF bifurcations
DYNAMICAL systems
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 33
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 164665307
- Full Text :
- https://doi.org/10.1142/S0218127423500980