AlSharawi, Ziyad ; Pal, Nikhil ; Chattopadhyay, Joydev (2022) The role of vigilance on a discrete-time predator-prey model Discrete and Continuous Dynamical Systems - B, 27 (11). p. 6723. ISSN 1531-3492
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Official URL: http://doi.org/10.3934/dcdsb.2022017
Related URL: http://dx.doi.org/10.3934/dcdsb.2022017
Abstract
The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a trade-off between the safety and growth rate of the prey. Mathematical properties such as stability, permanence, both flip and Neimark-Sacker bifurcations of the model are investigated. Numerical simulations are carried out to illustrate the analytical findings and to explore the impact of prey vigilance on the dynamics of the system.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Mathematical Sciences |
| Keywords: | Predator-prey model; vigilance; stability; flip bifurcation; Neimark-Sacker bifurcation; chaos control |
| ID Code: | 132128 |
| Deposited On: | 14 Dec 2022 06:01 |
| Last Modified: | 14 Dec 2022 06:01 |
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