Complexity of a Discrete-Time Predator-Prey Model Involving Prey Refuge Proportional to Predator

In this paper, a discrete-time predator-prey model involving prey refuge proportional to predator density is studied. It assumed that the rate at which moves density. The fixed points, their local stability, and existence of Neimark-Sacker bifurcation are investigated. At last, numerical simulations consisting diagrams, phase portraits, time-series given support analytical findings. occurrence chaotic solutions also presented by showing Lyapunov exponent while some parameters varied.