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Mathematical Model of the Spread of Computer Attacks on Critical Information Infrastructure

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Abstract

This paper presents a mathematical model for the spread of computer attacks on critical information infrastructure based on the extension of the basic Lotka–Volterra model. Within the context of the proposed model, the problem is formulated, the point of stability of the system is determined, and a criterion is proposed for the adequacy of the attack detection methods to the changing parameters of the critical information infrastructure and existing cyber threats.

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ACKNOWLEDGMENTS

Project results are achieved using the resources of supercomputer center of Peter the Great St.Petersburg Polytechnic University—SCC Polytechnichesky (http://www.spbstu.ru).

Funding

The research is funded by the Ministry of Science and Higher Education of the Russian Federation under the strategic academic leadership program “Priority 2030” (agreement 075-15-2021-1333 dated November 30, 2021).

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, 195251, St. Petersburg, Russia

    V. M. Krundyshev & M. O. Kalinin

Authors
  1. V. M. Krundyshev
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  2. M. O. Kalinin
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Corresponding author

Correspondence to V. M. Krundyshev.

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The authors declare that they have no conflicts of interest.

Additional information

Translated by M. Chubarova

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Krundyshev, V.M., Kalinin, M.O. Mathematical Model of the Spread of Computer Attacks on Critical Information Infrastructure. Aut. Control Comp. Sci. 56, 927–933 (2022). https://doi.org/10.3103/S0146411622080089

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