MATHEMATICAL MODEL OF THE DISTRIBUTION OF THE GLOBAL CHAIN EPIDEMIC OF NETWORK VIRUSES ON THE FRACTURING GRAPH

UDC 519.1
DOI:10.26102/2310-6018/2019.27.4.012

L.A. Kunizheva


Research objective is the solution of a relevant problem of development of optimum strategy of management of processes of distribution of computer epidemics, design of local area networks which as much as possible protect network from viral infection with the structure as extensive damage to ordinary users of computers and local area networks of the enterprises, organizations, banks, objects of power supply is caused by epidemics of various computer viruses.The leading method of a research of a problem is creation of a mathematical model of branched chain process of distribution of computer network viruses with playing of options of succession of events, studying on model of efficiency of actions in fight against spread of viruses, a possibility of modeling of “epidemic” on the selected configuration of network for exact assessment of security of network from viruses.The new device of mathematical modeling and forecasting of branched chain processes is presented in article, the model carries out analytical conversions and numerical calculations, builds geometrical images of the proceeding branched chain epidemics of network viruses in real time. Process modeling of spread of network viruses is implemented in two stages: identification of structure of communications of intermediat of chain reaction (computers) of network – “recognition of the prefractal graph” and spread of “infection” on network in the form of chain branched process – “a covering of the prefractal graph”.The theoretical and practical importance of this work consists in adaptation of the instrumental office of prefractal graphs to a solution of problems of a spatio-temporal course of branched chain processes in virologic applications. Materials of article are of practical value at a research of distribution of global chain epidemic the new model device – the vertex costal weighed prefractal columns.

Keywords: computer viruses, computer network, priming, fractal, prefractal and weighted graphs.

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