Published on: April 2026
MATHEMATICAL MODELING OF CYBER SECURITY THREATS FOR NETWORK RISK ASSESSMENT AND PREVENTION
Kiran Mayur Patil
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Abstract
In today’s digital world, cyber security threats are growing more advanced and frequent, creating serious challenges for individuals, organizations, and governments. Tackling these threats effectively requires more than traditional security methods—it calls for a strong analytical foundation. This paper explores how mathematical tools such as graph theory, dynamical systems, and optimization can be used to model and understand cyber threats. It represents a network as a mathematical structure to study how attacks spread across it. The paper introduces a deterministic model to describe threat propagation, a framework to assess risk, and an optimization model to design effective prevention strategies. The findings show that mathematical modeling can help identify weak points in a network, control the spread of attacks, and develop better defense systems. Overall, this study underscores the crucial role of mathematics in improving cyber security and provides a basis for further research in this interdisciplinary field.
How to Cite this Paper
Patil, K. M. (2026). Mathematical Modeling of Cyber Security Threats for Network Risk Assessment and Prevention. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(04). https://doi.org/10.55041/ijcope.v2i4.093
Patil, Kiran. "Mathematical Modeling of Cyber Security Threats for Network Risk Assessment and Prevention." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 04, 2026, pp. . doi:https://doi.org/10.55041/ijcope.v2i4.093.
Patil, Kiran. "Mathematical Modeling of Cyber Security Threats for Network Risk Assessment and Prevention." International Journal of Creative and Open Research in Engineering and Management 02, no. 04 (2026). https://doi.org/https://doi.org/10.55041/ijcope.v2i4.093.
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