Stability analysis of an improved stochastic malware diffusion SEIR model

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.