What question did this study set out to answer?

The aim is to analyze the stochastic stability of a malware diffusion model based on the SEIR framework.

February 2, 2026

Stability analysis of an improved stochastic malware diffusion SEIR model

SLSamir Llamazares-ElíasUniversidad de Salamanca ÁTÁngel TocinoUniversidad de Salamanca

Key Points

The aim is to analyze the stochastic stability of a malware diffusion model based on the SEIR framework.
Developed a system of stochastic differential equations for malware diffusion.
Incorporated Gaussian white noise to perturb the exposure rate.
Analyzed the stochastic stability of the model.
Identified sufficient conditions for the asymptotic stochastic stability.
Demonstrated that the model can maintain stability under specified conditions.
Established a disease-free equilibrium for the system.

Abstract

Abstract A system of stochastic differential equations is proposed as a model to describe the diffusion of malware in a wireless sensor network. The system is obtained from a SEIR model by perturbing the rate at which susceptible sensors become exposed using a Gaussian white noise. Then, the stochastic stability of the model is analysed to obtain a sufficient condition for the asymptotic stochastic stability of the disease-free equilibrium.

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