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DYNAMICS OF A PREY–PREDATOR MODEL INCORPORATING GESTATION TIME DELAY AND FEAR EFFECT.
- Source :
-
Fractals . 2023, Vol. 31 Issue 10, p1-10. 10p. - Publication Year :
- 2023
-
Abstract
- The anti-predator element because of fear from predator population in prey–predator models has an excellent significance and it is able to lessen the duplicate of prey population to a positive degree. In this paper, a delayed prey–predator model including fear effect and predator-taxis sensitivity is studied. Local stability and occurrence of Hopf bifurcation are analyzed by fixing the time delay as the bifurcating parameter. Then, a series of sufficient criteria for global stability is established by designing a suitable Lyapunov function. Furthermore, direction and stability of the Hopf bifurcation are studied. Lastly, numerical simulation outcomes are performed to confirm our theoretical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*LYAPUNOV functions
*STABILITY criterion
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 31
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 174978860
- Full Text :
- https://doi.org/10.1142/S0218348X23401552