Differential equation models of insider threat dynamics

Insider threats are among the most complex cybersecurity threats as trusted employees can be intentional or unintentional threats to the organization.This study proposes a differential equation model of insider threat behavior as a representation of the dynamic interactions between trusted users, suspicious activity, compromised states and insider threat mitigation mechanisms.The proposed approach is a system of ODEs to describe the progression of threats, behavioral transitions, and the effect of monitoring and response strategies with time.Under different security conditions, the long-term behavior of the system is investigated by carrying out equilibrium and stability analyses.The numerical simulation results show the potential of the model for simulating threat escalation and assessing threat mitigation policies.The suggested mathematics-based modeling approach offers a quantitative basis for understanding

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Publication Details

Journal
Journal of Interdisciplinary Mathematics
Published
2026-10-27
DOI
https://doi.org/10.47974/jim-2807
Primary Topic
Information and Cyber Security
Type
article
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article

Differential equation models of insider threat dynamics

Saumya Goyal, Rahul Thakur, Sаmаriddin Mаkhmudov, Surayyo Khasanova et al.
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Journal of Interdisciplinary Mathematics
Information and Cyber Security
article

Differential equation models of insider threat dynamics

Saumya Goyal, Rahul Thakur, Sаmаriddin Mаkhmudov, Surayyo Khasanova, Tanveer Wani, D. Balaji, Subramanian Karthick
article en

Abstract

Insider threats are among the most complex cybersecurity threats as trusted employees can be intentional or unintentional threats to the organization.This study proposes a differential equation model of insider threat behavior as a representation of the dynamic interactions between trusted users, suspicious activity, compromised states and insider threat mitigation mechanisms.The proposed approach is a system of ODEs to describe the progression of threats, behavioral transitions, and the effect of monitoring and response strategies with time.Under different security conditions, the long-term behavior of the system is investigated by carrying out equilibrium and stability analyses.The numerical simulation results show the potential of the model for simulating threat escalation and assessing threat mitigation policies.The suggested mathematics-based modeling approach offers a quantitative basis for understanding

Journal of Interdisciplinary MathematicsVol. 29(10)
Vinayaka Missions University (IN), Noida International University (IN), Quantum University (IN), Termez University of Economics and Service (UZ), Mamun University (UZ), Vishwakarma Institute of Technology (IN), Chitkara University (IN)
Openalex Percentile: Top 6%
Information and Cyber Security
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Differential equation models of insider threat dynamics — Saumya Goyal, Rahul Thakur, et al. · Journal of Interdisciplinary Mathematics (2026) | TGRS Research Map | TGRS