Challenges for Security in IoT: A Comprehensive Approach with Mathematical Modeling, Zero Trust, and Solutions
Keywords:
Internet of Things (IoT) 2; IoT Security Zero Trust Architecture (ZTA) 4; Mathematical ModelingAbstract
The Internet of Things (IoT) has transformed modern digital infrastructure by enabling intelligent connectivity among billions of devices across industries, healthcare, transportation, and smart homes. However, the rapid expansion of IoT networks has introduced serious security challenges, including weak authentication, unauthorized access, data interception, and limited device resources. This study proposes a comprehensive IoT security framework that integrates mathematical modeling, lightweight encryption, artificial intelligence, and Zero Trust Architecture (ZTA). Graph theory is applied to analyze trust propagation and identify vulnerable nodes within IoT networks, while dynamic trust scores are used to improve authentication and anomaly detection. Simulation results from a 25-node IoT environment demonstrate that the proposed integrated model achieves higher trust accuracy and detection rates with low computational overhead compared to traditional security approaches. The findings indicate that combining mathematical optimization with Zero Trust principles provides an adaptive, scalable, and efficient solution for strengthening IoT cybersecurity in modern interconnected systems
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Copyright (c) 2026 Usman Ghani
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright @Author. This is an open-access article distributed under the terms of the Creative Commons Attribution-ShareAlike 4.0 International License which permits unrestricted use, distribution, and reproduction in any medium. Copyrights of all materials published in the Mathematics Research and Education Journal are freely available without charge to users or / institutions.
Accepted 2025-10-29
Published 2026-05-21
