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DYNAMIC INTERACTIONS BETWEEN PREY AND PREDATOR WITH COOPERATION AND ALLEE EFFECT: DETERMINISTIC AND STOCHASTIC APPROACH.
- Source :
- Journal of Biological Systems; Dec2022, Vol. 30 Issue 4, p799-836, 38p
- Publication Year :
- 2022
-
Abstract
- In this paper, we investigate the behavior of a predator–prey model with cooperation and Allee effect considering both deterministic and stochastic approaches. The main aim of this paper is to investigate the effect of environmental fluctuation in a deterministic predator–prey model. During the analysis of the deterministic model, it is shown that the system has saddle-node point of co-dimension 1, Hopf bifurcation and Bogdanov–Takens bifurcation of co-dimension 2. To study the effect of environmental fluctuation, we use perturbation to the birth rate of prey and death rate of predator density by Gaussian white noise. The persistence of the model and the stationary distribution is shown by forming a suitable Lyapunov function. Finally, numerical simulations are performed to validate the theoretical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALLEE effect
PREDATION
HOPF bifurcations
BIRTH rate
WHITE noise
RANDOM noise theory
Subjects
Details
- Language :
- English
- ISSN :
- 02183390
- Volume :
- 30
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Biological Systems
- Publication Type :
- Academic Journal
- Accession number :
- 160716420
- Full Text :
- https://doi.org/10.1142/S0218339022500292