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摘要


Computer virus has become a global problem and affecting many industries both developed and the developing countries. In this study, a deterministic computer virus model is formulated incorporating removal devices. The basic properties of the model is studied and the reproduction number is calculated. The steady states are studied and found to be stable. We analyze different properties with parameter change by carrying out the sensitivity analysis of the model. Time optimal control is included and Pontryagin's Maximum Principle is used to characterize the all necessary condition for controlling the spread of computer virus. The most effective strategy for con- trolling computer virus is the combination of all the three controls. Graphical illustrations are presented to show the effects.

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