Expedition of deterministic numerical solvers for computer virus spread: Explicit Runge-Kutta and backward differential methods

Expedition of deterministic numerical solvers for computer virus spread: Explicit Runge-Kutta and backward differential methods

In this paper, advanced computing techniques are exploited for the numerical implementation of a system of ordinary differ¬ential equations (ODEs) representing the computer virus spread (CVS) model with Explicit Runge-Kutta (ERK) and Backward Differential Formula (BDF). The findings achieved by both numerical experimentations, are compared to solve the dynamics of nonlinear epidemiological model of CVS. Specifically, this scheme of study uses the NDSolve function to numerically solve the system over a specified time interval, reflecting three differential compartments observed as the state transformation of susceptible, infected and recovered computer systems in a network. The dynamics of the CVS model are studied with different scenarios for several cases by utilizing both ERK and BDF numerical solution and the accuracy of numerical results is established by absolute error (AE) plots to demonstrate the significance of the algorithms for solving mathematical models of epidemiological CVS. By exploiting the robustness of ERK and BDF methods, the proposed approximate technique generates accurate and efficient numerical solutions, enabling comprehensive analysis of virus propagation patterns. Through extensive simulations, the proposed technique exhibits the accuracy of the methodology that represent the complicated dynamics of computer virus spread and produce applaud understanding of efficacious mitigation approaches. This scheme of study strengthens the field of computational epidemiology and contributes to the development of vigorous cybersecurity techniques that are effective of addressing the evolving challenges con¬stitute by digital pathogens.