Stochastic Model of Virus Spreading in Heterogeneous Network

Student: Kulagin Gleb

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

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2017

In this paper was considered the model of virus spreading in a heterogeneous network, which is consist of one ‘special’ node and a few ‘non-special’ nodes. In this work mathematical model was developed in the form of vector-value Markov random continuous-time process with finite number of the states. We study the behavior of steady-state distribution as the parameters change. Average specific income was found in the steady-state mode. Also, the dependence on the parameters was analyzed. Using Markov processes with absorbing states, we get the average time until absorption. We developed and realized the algorithm for numerical analysis using MATLAB.

Full text (added May 25, 2017)

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