网络社会中e-SEIR系统的稳定性分析

Shao-Ting Ge, Zhimin Liu, L. Kang, Zhenxiang Yuan, G. Yao, Ruoxuan Lin
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引用次数: 0

摘要

我们分析了一个离散时间e-SEIR系统,它代表了网络社会中计算机病毒的传播模型。首先,我们导出了模型的两类均衡。其次,利用第一Lyapunov稳定性方法,得到了无病平衡的充分稳定性条件。最后,利用圆盘理论得到了疾病平衡的稳定条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability Analysis of An e-SEIR System in Network Society
We analyzed the a discrete-time e-SEIR system, which represents the computer virus propagation model in network society. Firstly, we derive two kinds of equilibriums for the model. Secondly, we obtain sufficient stability condition for the no-disease equilibrium using the first Lyapunov stability method. Lastly, we obtain stability conditions for the disease equilibrium using disc theory.
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