Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

doi:10.1088/1674-1056/23/11/118904

中国物理B ›› 2014, Vol. 23 ›› Issue (11): 118904-118904.doi: 10.1088/1674-1056/23/11/118904

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

李科赞^a, 徐忠朴^a, 祝光湖^a, 丁勇^{a b}

a School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China;
b The State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China

收稿日期:2014-03-19 修回日期:2014-05-12 出版日期:2014-11-15 发布日期:2014-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61004101, 11161013, and 61164020), the Natural Science Foundation of Guangxi Province, China (Grant Nos. 2011GXNSFB018059 and 2013GXNSFAA019006), the 2012 Open Grant of Guangxi Key Lab of Wireless Wideband Communication and Signal Processing, China, the 2012 Open Grant of the State Key Laboratory of Integrated Services Networks of Xidian University, China, and the Graduate Education Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472).

Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

Li Ke-Zan (李科赞)^a, Xu Zhong-Pu (徐忠朴)^a, Zhu Guang-Hu (祝光湖)^a, Ding Yong (丁勇)^{a b}

a School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China;
b The State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China

Received:2014-03-19 Revised:2014-05-12 Online:2014-11-15 Published:2014-11-15
Contact: Ding Yong E-mail:tone_dingy@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61004101, 11161013, and 61164020), the Natural Science Foundation of Guangxi Province, China (Grant Nos. 2011GXNSFB018059 and 2013GXNSFAA019006), the 2012 Open Grant of Guangxi Key Lab of Wireless Wideband Communication and Signal Processing, China, the 2012 Open Grant of the State Key Laboratory of Integrated Services Networks of Xidian University, China, and the Graduate Education Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472).

摘要/Abstract

摘要：

Recent research results indicate that individual awareness can play an important influence on epidemic spreading in networks. By local stability analysis, a significant conclusion is that the embedded awareness in an epidemic network can increase its epidemic threshold. In this paper, by using limit theory and dynamical system theory, we further give global stability analysis of a susceptible-infected-susceptible (SIS) epidemic model on networks with awareness. Results show that the obtained epidemic threshold is also a global stability condition for its endemic equilibrium, which implies the embedded awareness can enhance the epidemic threshold globally. Some numerical examples are presented to verify the theoretical results.

关键词: epidemic spreading, global stability, awareness

Abstract:

Key words: epidemic spreading, global stability, awareness

中图分类号: (Networks and genealogical trees)

89.75.Hc

05.70.Ln (Nonequilibrium and irreversible thermodynamics) 89.75.-k (Complex systems)

李科赞, 徐忠朴, 祝光湖, 丁勇. Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness[J]. 中国物理B, 2014, 23(11): 118904-118904.

Li Ke-Zan (李科赞), Xu Zhong-Pu (徐忠朴), Zhu Guang-Hu (祝光湖), Ding Yong (丁勇). Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness[J]. Chin. Phys. B, 2014, 23(11): 118904-118904.

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Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

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