The research project presents three extensions of classical Susceptible Infected-Recovery (SIR) model adapted to the propagation of malicious software in computer or wireless networks. Protection of network from any illegal actions which can be caused by computer viruses is a very important problem for IT-security; hence it is necessary to estimate the effectiveness of preventive measures and healing effect of application of antivirus patch. In contrast to previous studies, in this work it is assumed that two forms of malwares with different strength spread through the network, as well as such assumption is closer to real-life situation. The research includes two parts: in the first part author formulates an optimal control problem for extended SIR model with two forms of malwares and based on Pontriagin’s Maximum principle and shows a structure of optimal strategies of network protection. In the second part author establishes open and close SIR model with two different forms of malwares with impulse protection strategies. Both parts of research work contain theoretical results which are corroborated by numerical simulations. All results are proved and presented correctly. Due to the previous publications of this master’s thesis the level of self-citation is high however this does not reflect on the quality of the work. Results of master’s dissertation have been presented at several Russian and International conferences and published in three papers, two of them are indexed in Russian Science Index, and one is indexed in SCOPUS and IEEE Xplore. List of references contains 24 items; the total number of pages is 63 including two Appendices. Due to these reasons I suppose that the research work earns an excellent mark.