Stochastic Analysis and Optimization Virus Propagation Model

Student: Drozhzhilov Petr

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

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 9

Year of Graduation: 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.

Full text (added May 25, 2017)

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