On incommensurate chaotic fractional discrete model of computer virus: stabilization and synchronization

The chaotic propagation of computer viruses presents a significant challenge in cybersecurity, necessitating advanced mathematical models for understanding and controlling their spread. In this study, we investigate the stabilization and synchronization of chaos in a fractional-order discrete computer virus model with incommensurate order. We begin by analyzing the chaotic behavior of the incommensurate fractional virus model, thereby employing tools such as bifurcation diagrams, phase portraits, and Lyapunov exponents to characterize its nonlinear dynamics. The results reveal that the system exhibits chaotic behavior under specific parameter conditions, which results in unpredictable virus spread. To mitigate these chaotic effects, we implement stabilization strategies aimed at stabilizing the system and suppressing chaotic outbreaks. Additionally, we explore synchronization techniques, which are of paramount importance in understanding virus interactions within networked systems. Numerical results are presented to corroborate the theoretical findings presented in this paper.