A worm defending model with partial immunization and its stability analysis

被引：12

作者：

Wang, Fangwei ^{[1
]}

Yang, Yong ^{[2
]}

Zhao, Dongmei ^{[1
]}

Zhang, Yunkai ^{[3
]}

机构：

[1] College of Information Technology, Hebei Normal University, Shijiazhuang

[2] Network and Information Center, Yunnan University, Kunming

[3] Department of Information Engineering, Shijiazhuang Institute of Railway Technology, Shijiazhuang

来源：

Journal of Communications | 2015年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Endemic equilibrium; Internet worm; Network security; Partial immunization; Stability analysis;

D O I：

10.12720/jcm.10.4.276-283

中图分类号：

学科分类号：

摘要：

Internet worms, a great threat to the Internet infrastructure, can propagate horrendously through networks, and reduce network security and cause economic losses. In order to effectively defend against worms, this paper proposes a novel epidemic SVEIR model with partial immunization. In the SVEIR model, we obtain the basic reproduction number for determining whether the worm dies out completely. The global stabilities of infection-free equilibrium and endemic equilibrium are proven using a Lyapunov function and a geometrical approach. The impact of different parameters of this model is studied. Simulation results show that the number of susceptible and infected hosts is consistent with theoretical analysis. The model provides a theoretical foundation for control and forecasting Internet worms. © 2015 Journal of Communications.

引用

页码：276 / 283

页数：7

共 24 条

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