DISCRETE-TIME EPIDEMIC DYNAMICS WITH AWARENESS IN RANDOM NETWORKS  

作　　者：YILUN SHANG 

机构地区：[1]Institute for Cyber Security, University of Texas at San Antonio San Antonio TX 78249, USA

出　　处：《International Journal of Biomathematics》2013年第2期147-153,共7页生物数学学报（英文版）

摘　　要：Human behavioral responses fundamentally influence the spread of infectious disease. In this paper, we study a discrete-time SIS epidemic process in random networks. Three forms of individual awareness, namely, local awareness, global awareness and contact awareness, are considered. The effect of awareness is to reduce the risk of infection. [3ased on the stability theory of matrix difference equation, we derive analytically the epidemic threshold. It is found that both local and contact awareness can raise the epidemic threshold, while the global awareness only decreases the epidemic prevalence. Our results are in line with a recent result using differential equation-based methods.

关 键 词：Epidemic model complex network behavioral response difference equation stability. 

分 类 号：O157.5[理学—数学] S855.3[理学—基础数学]