Mathematical and numerical study of a SIR epidemic model on network with standard incidents
Keywords:
computer virus, SIR, epidemic model, network, simulationAbstract
Purpose of the article With the expansion and use of computers and the Internet in everyday life, there has also been an increase in their abuse. The system connection by the Internet increases vulnerability of the connected networks and computers as well as the danger of information abuse or loss, e.g. through computer viruses. As the operating systems are becoming more complicated and complex, it is a bigger challenge for virus authors to attack these systems. In this paper, we formulate a model of computer virus spreading, inspired by the SIR dynamic epidemic model.
Methodology/methods The theory is briefly explained in the opening part and serves as a basis for formulation of the relationships between the quantities investigated in the paper. The results are demonstrated on particular examples and the behaviour of the model is presented using computer simulation. The solution incorporates the theory of mathematical analysis and ordinary differential equations.
Scientific aim The authors’ aim is to analyse the computer virus spread model as a system of non-linear differential equations and verify its solvability.
Findings The proposed model is based on a system of non-linear differential equations and allows a qualitative view of its behaviour, simulated by Maple and graphically presented in the application part, for various input values.
Conclusions These days, all users should be familiar with computer security and data protection. The users should know how to protect and secure their data. This requires the knowledge of behaviour of various types of harmful software. Thus the model we have designed may significantly contribute to formulation of a defence strategy against computer virus spreading.
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