Geodesic
Building a virus propagation modelin a computer network based on a comparison of results simulations with empirical data
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2022), pp. 39-52

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The article uses the SI model to construct a hierarchy of four mathematical models describing the spread of a computer virus on the network in the absence of the possibility of treating infected hosts. Each subsequent model differs from the previous one by introducing a new factor into consideration. For the constructed models, numerical simulation results were compared with experimental data (statistical data published in 2002 by D. Moore, K. Shannon and D. Brown). Based on the constructed models using some elements of the PSIDR model, a model was created describing the spread of a computer virus in the network if there is a possibility of treating infected hosts, and a numerical experiment was carried out to trace the dynamics of all groups involved in the epidemiological process.
Keywords: mathematical modeling, systems of differential equations, virus propagation in a computer network. 
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     author = {N. I. Eremeeva},
     title = {Building a virus propagation modelin a computer network based on a comparison of results simulations with empirical data},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {39--52},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2022_4_a3/}
}
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N. I. Eremeeva. Building a virus propagation modelin a computer network based on a comparison of results simulations with empirical data. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2022), pp. 39-52. http://geodesic.mathdoc.fr/item/VTPMK_2022_4_a3/