SIRA Computer Viruses Propagation Model: Mortality and Robustness

Among the several works based on the classical Kermack–Mckendrick’s SIR (Susceptible–Infected–Removed) epidemiological model, applied to the context of computer viruses propagation, the introduction of antidotal elements has provided the dynamics of the networks when anti-virus programs are used. The SIRA (Susceptible–Infected–Removed–Antidotal) model has shown good qualitative fitness regarding to real operation of the networks, when the mortality rate is considered zero and all the infected nodes being recovered. Here, the SIRA model is studied, considering the mortality rate as a parameter and the conditions for the existence of a disease-free equilibrium state are derived, helping the design of robust networks. © 2018, Springer Nature India Private Limited.