Abstract
The paper is devoted to the study of factors affecting the timeliness of response to the effects of malicious software. The analysis of anti-virus protection tools in computer systems is carried out. The analysis is based on expert assessments of protection measures against the effects of malicious software and expert assessment of the time parameters of anti-virus tools. The requirements for the time characteristics of anti-virus tools in the computer systems are defined and justified. The paper provides options for the formal presentation of characteristics for assessing the implementation of information processes in the computer systems and the timeliness of responding to the effects of the malicious software. The characteristics that clarify the model of information security threat in the computer systems are analyzed by taking into account the specifics of the use of the malicious software. The substantiation of mathematical abstraction for the formal representation of a sequence of random events associated with the implementation of the threat of the impact of the malicious software on the computer systems is given, analytical expressions are obtained to evaluate anti-virus protection measures and the actions of the violator to implement unauthorized access. Hypotheses are formulated and proved regarding the adequacy of the use of a temporary computer systems resource by antivirus tools.
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