article · Jambura Journal of Biomathematics (JJBM)
Computer viruses and malware present persistent threats that complicate the simulation and management of digital networks and individual user systems. A six-compartment fractional mathematical model addresses this challenge by expanding upon traditional frameworks. Mathematical analysis confirms the existence and uniqueness of solutions, verifying that the system is both mathematically and biologically well-posed. The formulation incorporates the fundamental reproduction number alongside sensitivity analysis to evaluate how different parameters influence virus behaviour. Furthermore, the Laplace Adomian Decomposition Method provides numerical solutions, while an examination of fractional-order memory effects sheds light on system dynamics over time. By detailing transmission mechanisms, this theoretical structure delivers actionable insights to help security managers design robust countermeasures, improve eradication strategies, and protect network infrastructure against malicious digital infections.
Understanding how malicious software spreads across digital networks is essential for protecting modern computer infrastructure. By accounting for memory effects through fractional mathematics, the model offers an enhanced analytical foundation for network defenders. This improves the ability to predict infection pathways and design targeted containment strategies before widespread digital disruptions compromise individual devices or larger organisational systems.
The model provides theoretical guidelines and eradication tactics intended for computer security professionals and network managers seeking to prevent virus spread. Because the research centres on mathematical formulation, sensitivity testing, and numerical simulations via the Laplace Adomian Decomposition Method, it represents early-stage theoretical research that remains some distance from direct deployment as functional software tools or commercial network security products.
AI-generated from the published abstract. Always read the original work before citing.
The constant danger of computer viruses and malware makes it difficult to safely simulate the management of computer systems over time for both networks and individual users. The present study proposes a novel six-compartment fractional model that builds on existing classical frameworks and examines the existence and uniqueness of its solution, indicating that it is both mathematically and biologically well-posed. Additionally, we compute the fundamental reproduction number R0 and use sensitivity analysis to investigate the impact of various factors on the model's behavior. The Laplace Adomian Decomposition Method is employed for numerical analysis, and its findings have the potential to transform computer security and network management by providing robust countermeasures and eradication tactics. The complex properties of the fractional-order model are further explored by examining the memory effect of fractional order on system dynamics. The research findings offer valuable insights for virus managers in developing and implementing effective management methods and can successfully prevent the spread of computer viruses by leveraging these discoveries. In conclusion, this study provides significant insights and solutions for protecting the integrity of digital domains and network infrastructure.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.37905/jjbm.v5i2.25956
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
