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Regular version of the site

Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Petr Drozhzhilov
Stochastic Analysis and Optimization Virus Propagation Model
Applied Mathematics
(Bachelor’s programme)
9
2017
Modeling and understanding malware propagation is a pivotal problem in computer network security. The paper studies the virus propagation based on the epidemiological SIRS model. The mathematical model is developed in the form of a two-dimensional Markov process with continuous time. The dependence of the stationary distribution probabilities on the network parameters is considered. As an example, a network consisting of three nodes is examined. To this end, we study stationary such characteristics as the average time of getting into the "inoperative" state and the average income of the system.

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