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

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

Abstract

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.

Keywords: epidemic spreading global stability awareness

Received: 19 March 2014
Revised: 12 May 2014
Accepted manuscript online:

PACS:	89.75.Hc	(Networks and genealogical trees)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	89.75.-k	(Complex systems)

Fund:

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).

Corresponding Authors: Ding Yong
E-mail: tone_dingy@126.com

Cite this article:

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 2014 Chin. Phys. B 23 118904

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