A computer virus model with graded cure rates
A computer virus model with graded cure rates
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DOI：
10.1016/j.nonrwa.2012.07.005
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发表时间：
2013-02-01
影响因子：
2
通讯作者：
Wen, Luosheng
中科院分区：
文献类型：
--
作者：
Yang, Lu-Xing;Yang, Xiaofan;Wen, Luosheng
建立了一个描述计算机病毒在Internet上传播的动力学模型，模型中假设：（1）计算机一旦被感染就具有传染性;（2）潜伏计算机的治愈率低于查杀计算机的治愈率。充分研究了该模型的定性性质。首先，确定该模型的基本再生数R-0。其次，通过引入适当的李雅普诺夫函数，证明了无病毒平衡点是全局渐近稳定的，如果R-0
A dynamical model characterizing the spread of computer viruses over the Internet is established, in which two assumptions are imposed: (1) a computer possesses infectivity once it is infected, and (2) latent computers have a lower cure rate than seizing computers. The qualitative properties of this model are fully studied. First, the basic reproduction number, R-0, for this model is determined. Second, by introducing appropriate Lyapunov functions, it is proved that the virus-free equilibrium is globally asymptotically stable if R-0