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Two Types of Nonlinear WSI Computer Virus Propagation Models |
LUO Xuhang, ZHU Qingyi, LIU Yuhang
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School of Cyber Security and Information Law, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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Abstract Considering the influence of computer network structure and the effect of computer virus propagation on user awareness, two WSI (Weakly-protected Strongly-protected Infected) computer virus propagation models with nonlinear infection rate in two types of complex networks (including homogeneous and heterogeneous networks) are developed. The equilibrium points and basic regeneration numbers of the two types of propagation models are given respectively, together with stability proofs. Finally, numerical simulation experiments are conducted to verify the stability of the two types of models and to analyze the effect of nonlinear infection rates on the spread of computer viruses, as well as to compare the spread of computer viruses from the two types of models with the basic regeneration numbers and we can find that the heterogeneity of networks can exacerbate the spread of computer viruses.
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Received: 20 June 2023
Published: 27 April 2025
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