In this paper, we study the global properties of a computer virus propagation model. It is, interesting to note that the classical method of Lyapunov functions combined with the Volterra–Lyapunov matrix properties, can lead to the proof of the endemic global stability of the dynamical model characterizing the spread of computer viruses over the Internet. The analysis and results presented in this paper make building blocks towards a comprehensive study and deeper understanding of the fundamental mechanism in computer virus propagation model. A numerical study of the model is also carried out to investigate the analytical results.

中文翻译：

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关于计算机病毒流行模型的全球稳定性。

在本文中，我们研究了计算机病毒传播模型的全局特性。有趣的是，将Lyapunov函数的经典方法与Volterra–Lyapunov矩阵属性相结合，可以得出表征计算机病毒在Internet上传播的动力学模型的局部全局稳定性的证明。本文提供的分析和结果为全面研究和更深入地了解计算机病毒传播模型的基本机制奠定了基础。还对该模型进行了数值研究以研究分析结果。