Abstract
Disruptive computer viruses have inflicted huge economic losses. This paper addresses the development of a cost-effective dynamic control strategy of disruptive viruses. First, the development problem is modeled as an optimal control problem. Second, a criterion for the existence of an optimal control is given. Third, the optimality system is derived. Next, some examples of the optimal dynamic control strategy are presented. Finally, the performance of actual dynamic control strategies is evaluated.
Highlights
The proliferation of computer networks has brought huge benefits to human society
These models have two striking defects: (a) the personalized features of different hosts cannot be taken into consideration and (b) the impact of the structure of the virus-propagating network on the viral prevalence cannot be revealed by studying the models
By applying the forward-backward Euler scheme to the optimality system, we can obtain the numerical solution to the optimal control problem (P∗), that is, an optimal dynamic control strategy of disruptive viruses
Summary
The proliferation of computer networks has brought huge benefits to human society. it offers a shortcut to spread computer viruses, inflicting large economic losses [1]. All of the above-mentioned SLBS models are populationlevel; that is, they are based on the assumption that every infected host in the population is likely to infect any other susceptible host These models have two striking defects: (a) the personalized features of different hosts cannot be taken into consideration and (b) the impact of the structure of the virus-propagating network on the viral prevalence cannot be revealed by studying the models. To overcome these defects, Yang et al [45] presented a node-level SLBS model.
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