Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor (Q2686803)

The authors investigate the following discrete time prey-predator system \[ x_{t+1}=x_t+\frac{rx_t}{1+kx_t}\left(1-\frac{x_t}{k}\right) -\frac{bx_ty_t}{x_t+a} \] \[ y_{t+1}=sy_t\left(1-\frac{y_t}{x_t}\right). \] It particular, they study existence and stability of the fixed points, flip bifurcation, and Neimark-Sacker bifurcation at the equilibrium points. Some numerical simulations also were presented.