Abstract
In this paper, we discuss an optimal control on the spread of SLBS computer virus model. Control strategy by installing antivirus on each subpopulation aims to minimize the number of infective computers (latent and breakingout) and the cost associated with the control. Optimal system condition is determined by using Pontryagin principle and is solved numerically by using Forward-Backward Sweep method in combination with the fourth order Runge-Kutta method. Our numerical simulations show that the strategy by installing antivirus on susceptible computers as preventive give a great influence on suppressing the spread of computer viruses.
Highlights
A computer viruses are malicious program that can replicate themselves and spread among computers
Lijuan et al [6] has proposed a control strategy by installing antivirus on breakingout computers to minimize the number of breakingout computers and the costs associated with the control
In this paper we introduce a different strategy to minimize the number of both latent and breakout computer including the costs associated with the control
Summary
A computer viruses are malicious program that can replicate themselves and spread among computers. To minimize the number of infective (latent and breakout) computers, other strategies than constant curing have to be implemented to control the spread of computer viruses. Such strategies are usually combined with efforts to minimize the cost related to these strategies. Lijuan et al [6] has proposed a control strategy by installing antivirus on breakingout computers to minimize the number of breakingout computers and the costs associated with the control They found that optimal control solution exists and effective for reducing the number of the breakout computers.
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