Abstract
Computer worm is a worldwide threat to the safety of Internet, which caused billions of dollars in damages over the past decade. Software patches have been widely used as one of approaches to protect computers against computer worms. In this study, an impulsive state feedback model was employed to study the transmission of computer worm and the preventive effect of operating system patching. The existence of order-1 periodic solution and its stability were proved with a novel method. The results demonstrated that the application of software patches is an effective approach to constrain the deluge of computer worm. Numerical simulation results were presented to support the theoretical analysis.
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