Stochastic Modeling of Virus Spreading in Networks with Node Failures.

Student: Babiy Aristarkh

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2018

In this work, we consider stochastic models of virus propagation in networks with failures based on Markov chains with continuous time. Steady-state distributions are calculated. An asymptotic analysis of the behavior of random processes for networks with interacting computers with the possibility of failure is carried out. The average unit income for each system are calculated. The results are analyzed.

Full text (added May 25, 2018)

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