Analyzing Computer Virus Propagation: Integrating Monte Carlo Simulations with Delay Differential Equation Models

The widespread digitization of essential services has made the internet a prime target for large-scale cyber attacks, despite efforts to bolster security measures. Today's organizations face a balancing act between securing networks and managing operational costs. Existing models often overlook the effectiveness of security techniques and fail to capture the varying risk levels across network paths. In this paper we explore the dynamics of computer virus propagation through the lens of a delay differential equation model, specifically the SEIRS model. Utilizing Monte Carlo simulations, the authors investigate virus spread within a compartmental framework. Furthermore, stability analysis of the model is undertaken to comprehend the factors that influence the persistence of the virus. The obtained results are illustrated through various graphs.