New approaches of epidemic models to simulate malware propagation

Abstract

Malware is one of the most dangerous threats that concerns cybersecurity. The main reasons for all of this are the development of Internet technology and Internet of Everything. Therefore, there are several mathematical models to simulate malware propagation and obtain countermeasures. These models are usually epidemic models based on ordinary differential equations. In this paper, we expose some of their deficiencies in order to improve the epidemic models. Moreover, we propose a new Susceptible-Carrier-Infectious-Recovered-Susceptible (SCIRS) model, which takes into account carrier devices. Finally, we demonstrate its global stability and study its dynamic behaviour through its basic reproductive number.