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

作　　者：李科赞 徐忠朴 祝光湖 丁勇 

机构地区：[1]School of Mathematics and Computing Science, Guilin University of Electronic Technology [2]The State Key Laboratory of Integrated Services Networks, Xidian University

出　　处：《Chinese Physics B》2014年第11期692-699,共8页中国物理B（英文版）

基　　金：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;the Graduate Education Innovation Project of Guilin University of Electronic Technology,China(Grant No.GDYCSZ201472)

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.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 

分 类 号：O175[理学—数学]