An investigation on hybrid projective combination difference synchronization scheme between chaotic prey-predator systems via active control method

Abstract

This research addresses a systematic design for investigating hybrid projective combination difference synchronization (HPCDS) scheme between chaotic prey-predator systems via active control method. The presented work deals with generalized Lotka and Volterra (GLV) biological system. The considered system analyzes the interactions among three species prey (one) and predators (two) that comprises of a system of ordinary differential equations. An active control approach has been investigated which is primarily based on Lyapunov stability theory (LST). The discussed scheme derives the asymptotic stability globally using HPCDS technique. Numerical simulations are thereafter implemented to validate the efficiency and feasibility of the discussed strategy using MATLAB. Interestingly, both the computational and theoretical results agree remarkably. In addition, a comparison analysis has been done which shows the significance of considered approach over prior published researches. Furthermore, the considered HPCDS scheme is useful in secure communication and encrypting images.