Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application

Using the discrete fractional calculus, a novel fractional-order food chain model for case of strong pressure on preys map is proposed. Dynamical behaviors involving stability analysis its equilibrium points, bifurcation diagrams and phase portraits are investigated. It demonstrated that can exhibit variety dynamical including stable steady states, periodic quasiperiodic dynamics. Then, hybrid encryption scheme based chaotic behavior along with elliptic curve key exchange proposed colored plain images. The combines characteristics noise-like dynamics map, high sensitivity to values parameters, advantages reliable curves-based systems. Security assures efficiency algorithm validates robustness against possible types attacks.