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The role of vigilance on a discrete-time predator-prey model
Al-Sharawi, Ziyad Pal, Nikhil Chattopadhyay, Joydev
Al-Sharawi, Ziyad
Pal, Nikhil
Chattopadhyay, Joydev
Date
2022
Advisor
Type
Article
Peer-Reviewed
Published version
Peer-Reviewed
Published version
Degree
Description
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.