Fear effect on a discrete-time prey predator model with imprecise biological parameters

Abstract

In this paper, we study the dynamical properties of a discrete time prey predator model under imprecise biological parameters. We consider refuge for prey and cost of fear into prey reproduction. The equilibria of the model are obtained and the dynamic behaviors of the proposed system are examined. Hopf Bifurcation of the proposed prey predator model are analysis. Simulations of the model are performed for different parameters of the model. Numerical simulations show that the proposed discrete model exhibits rich dynamics of a chaotic and complex nature.