The stochastic SIRA model for computer viruses

摘要

The aim of this paper is to describe the SIRA (Susceptible-Infected-Removed-Antidotal) stochastic epidemic model for computer viruses and to study some important descriptors, in order to understand the mechanism that underlies the spread of computer viruses and then, to control the virus propagation. To this end, a continuous time Markov chain is considered and a detailed analysis of the quasi-stationary distribution, the extinction time and the number of infections is performed. Some numerical results are presented in order to illustrate our analysis.