Дослідження динаміки розповсюдження комп’ютерного вірусу в мережі

The dynamics of the life cycle of a computer virus is investigated in this work. Virus life cycle is described with delayed differential equations systems.Исследована динамика жизненного цикла компьютерного вируса, которая описывается системами с последействием.Досліджено динаміку життєвого циклу комп’ютерного вірусу, яка описується системами з післядією

Дослідження життєвого циклу комп’ютерних вірусів

This article is devoted to the research of the dynamics of the spread of computer viruses in the network. The model, which is considered in the article, is based on the SIR model, which was proposed by Kermack W. and O. McKendrick A.G. In accordance with this model, individuals are divided into three groups: susceptible, infected, and cured. Individuals move from the first group to the second, and from the second to the third. The total number of individuals remains constant over time. The changes in individuals in groups are described by a system of three differential equations. In the equations, there are coefficients that are associated with the rate of infection and the rate of treatment. The total rate of change in the number of individuals in the three groups is zero. In this article, a modification of the SIR model was made. In each equation was introduced deviating argument. The deviating argument mathematically expresses the impact of the aftereffect of the processes of infection and treatment. The impact of deviating argument on the dynamics of the spread of computer viruses in the network is considered in the work. Systems of three and of two equations are considered for different values of the deviating argument. The initial problems for these systems with the help of analytical methods are reduced to Cauchy problems, which are solved by numerical methods using a fourth-order Runge-Kutta algorithm. The results are presented in the form of graphs that express the dependence of the number of computers on time. The article analyzes the results obtained and makes conclusions. These studies are new and relevant now and can be used in subsequent studies of computer viruses. The model can be modified and improved. The article may be of interest to specialists who are engaged in research in the field of computer technology, as well as mathematicians who are engaged in the construction and research of mathematical models.В работе исследуется динамика жизненного цикла компьютерных вирусов, которая описывается системами с последействием.В работе исследуется динамика жизненного цикла компьютерных вирусов, которая описывается системами с последействиемВ роботі досліджується динаміка життєвого циклу комп’ютерних вірусів, яка описується системами з післядією