Linear active control algorithm to synchronize a nonlinear HIV/AIDS dynamical system

Chaos synchronization between two chaotic systems happens when the trajectory of one of the system asymptotically follows the trajectory of another system due to forcing or due to coupling.This research paper addresses the synchronization problem of an In-host Model for HIV/AIDS dynamics using the Linear Active Control Technique.In this study, using the Linear Active Control Algorithm based on the Lyapunov stability theory, the synchronization between two identical HIV/AIDS chaotic systems and the switching synchronization between two different HIV/AIDS and Qi 4-D chaotic systems has been observed. Further, it has been shown that the proposed schemes have excellent transient performance and analytically as well as graphically found that the synchronization is globally exponential stable.Numerical simulations are carried out to demonstrate the efficiency of the proposed approach that support the analytical results and illustrated the possible scenarios for synchronization. All simulations have been done using Mathematica 9