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Modeling and analysis of the spread of computer virus. (English) Zbl 1261.93012
Summary: Based on a set of reasonable assumptions, we propose a novel dynamical model describing the spread of computer virus. Through qualitative analysis, we give a threshold and prove that (1) the infection-free equilibrium is globally asymptotically stable if the threshold is less than one, implying that the virus would eventually die out, and (2) the infection equilibrium is globally asymptotically stable if the threshold is greater than one. Two numerical examples are presented to demonstrate the analytical results.
MSC:
93A30Mathematical modelling of systems
93D20Asymptotic stability of control systems
93C15Control systems governed by ODE
92D40Ecology
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