Stability analysis of an improved stochastic malware diffusion SEIR model

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.