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- Title
How the Wind Changes the Leslie-Gower Predator-prey System?
- Authors
Chuping Huang; Fengde Chen; Qun Zhu; Qianqian Li
- Abstract
Under the assumption that the predators better detect the prey species exposed to the wind blowing, a modified Leslie-Gower predator prey system incorporating wind effect is proposed and studied in this paper. Local and global stability properties of the boundary equilibrium and the positive equilibrium are investigated, respectively. For the wind large than the threshold, the prey species will be driven to extinction, and for the limited wind effect, though the density of the prey species will be reduced, both prey and predator species could coexist in a stable state. Our study shows that the wind effect plays a crucial role in the persistence and stability property of the system. Our study also indicates that with the increasing of the other food resource, the final density of the prey species will decrease while the density of predator species will increase. Numeric simulations are run to demonstrate the viability of the major conclusions.
- Subjects
PREDATION
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 3, p907
- ISSN
1992-9978
- Publication type
Article