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@article{187613,
        author = {Dr. Gholam Mursalin Ansari and Sunita Agarwal and Prasant Kumar Nayak},
        title = {Evaluating the Effectiveness of Layered Antivirus Protection through Mathematical Modelling and Sensitivity Analysis},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {6},
        pages = {6403-6409},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=187613},
        abstract = {The rapid evolution of computer viruses poses a persistent threat to network security, demanding effective multi-layer defence strategies. This paper develops and analyses a compartmental mathematical model describing the dynamics of virus propagation in a computer network protected by three hierarchical antivirus layers: server-level, inbuilt, and user-installed systems. The model incorporates recruitment, deactivation, infection transmission, quarantine, and recovery processes to capture realistic network behaviour. Analytical investigation establishes the existence and stability of both disease-free and endemic equilibrium, with threshold dynamics governed by the basic reproduction number R_0. Sensitivity analysis both local (elasticity indices) and global (Latin Hypercube Sampling combined with Partial Rank Correlation Coefficients) is conducted to identify the most influential parameters affecting infection prevalence. Numerical simulations reveal that coordinated multi-layer protection effectively suppresses virus persistence, while deficiencies in server-level or inbuilt antivirus efficiency substantially increase infection peaks. The results demonstrate that enhancing quarantine and recovery rates, alongside robust server-level defence, significantly stabilizes network performance. This study provides a quantitative framework for evaluating and optimizing antivirus deployment strategies in complex computer networks.},
        keywords = {Computer virus propagation; Antivirus modelling; multi-layer defence systems; Stability analysis; Sensitivity analysis (elasticity and PRCC); Mathematical epidemiology; Network security dynamics.},
        month = {November},
        }