SIRA Computer Viruses Propagation Model: Mortality and Robustness
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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.
KeywordsBifurcation Disease free Endemic Equilibrium SIRA Stability
Mathematics Subject Classification34C23 34D30
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Conflict of interest
The authors declare that there is no conflict of interests regarding the publication of this article.
- 7.Kemar, U.: Stochastic model on computer virus. Int. J. Syst. Signal Control Eng. Appl. 4(4–6), 74–79 (2011)Google Scholar
- 8.Kephart, J.O., White, S.R.: Directed-graph epidemiological models of computer viruses. In: Proceedings of IEEE Computer Society Symposium on Research in Security and Privacy, pp. 343–359 (1991)Google Scholar
- 9.Kephart, J.O., White, S.R.: Measuring and modeling computer virus prevalence. In: Proceedings of IEEE Computer Society Symposium on Research in Security and Privacy, pp. 2–15 (1993)Google Scholar