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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Gleb Kulagin
Stochastic Model of Virus Spreading in Heterogeneous Network
Applied Mathematics
(Bachelor’s programme)
8
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.

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