  A delayed, discrete-time, prey-predator model with Allee effects imposed on
prey and predator populations is defined, and dynamics of the system is
characterized computationally. The parametric conditions for local asymptotic
stability of equilibria are investigated with several illustrating examples. In
addition, several periodic solutions were achieved. Furthermore, high degree of
fractality of the prey-predator population trajectories is observed when the
system is sufficiently delayed. This system has turned out to be a cooperative
system, which is depicted using fractal dimension.
