Optimal control of a delayed SLBS computer virus model

Lijuan Chen, Khalid Hattaf and Jitao Sun

Physica A: Statistical Mechanics and its Applications, 2015, vol. 427, issue C, 244-250

Abstract: In this paper, a delayed SLBS computer virus model is firstly proposed. To the best of our knowledge, this is the first time to discuss the optimal control of the SLBS model. By using the optimal control strategy, we present an optimal strategy to minimize the total number of the breakingout computers and the cost associated with toxication or detoxication. We show that an optimal control solution exists for the control problem. Some examples are presented to show the efficiency of this optimal control.

Keywords: Computer virus; Delay; Optimal control; SLBS (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:427:y:2015:i:c:p:244-250

DOI: 10.1016/j.physa.2015.02.048

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