The role of vigilance on a discrete-time predator-prey model
Ziyad AlSharawi, Nikhil Pal, Joydev Chattopadhyay
Abstract
<p style='text-indent:20px;'>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.</p>
Topics & Concepts
Vigilance (psychology)PredationPredatorDiscrete time and continuous timeControl theory (sociology)MathematicsEcologyComputer sciencePsychologyStatisticsBiologyCognitive psychologyArtificial intelligenceControl (management)Mathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsEvolutionary Game Theory and Cooperation