Global dynamics of a novel multi-group model for computer worms  

作　　者：巩永旺 宋玉蓉 蒋国平 

机构地区：[1]College of Automation, Nanjing University of Posts and Telecommunications [2]School of Information Engineering, Yancheng Institute of Technology

出　　处：《Chinese Physics B》2013年第4期56-62,共7页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010526);the Six Projects Sponsoring Talent Summits of Jiangsu Province, China (Grant No. SJ209006);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103223110003);the Ministry of Education Research in the Humanities and Social Sciences Planning Fund of China (Grant No. 12YJAZH120);the Graduate Student Innovation Research Project of Jiangsu Province, China (Grant Nos. CXLX11 0417 and CXLX11 0404)

摘　　要：In this paper, we study worm dynamics in computer networks composed of many autonomous systems. A novel multigroup SIQR （susceptible-infected-quarantined-removed） model is proposed for computer worms by explicitly considering anti-virus measures and the network infrastructure. Then, the basic reproduction number of worm R0 is derived and the global dynamics of the model are established. It is shown that if R0 is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if R0 is greater than 1, one unique endemic equilibrium exists and it is globally asymptotically stable, thus the worm persists in the network. Finally, numerical simulations are given to illustrate the theoretical results.In this paper, we study worm dynamics in computer networks composed of many autonomous systems. A novel multigroup SIQR （susceptible-infected-quarantined-removed） model is proposed for computer worms by explicitly considering anti-virus measures and the network infrastructure. Then, the basic reproduction number of worm R0 is derived and the global dynamics of the model are established. It is shown that if R0 is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if R0 is greater than 1, one unique endemic equilibrium exists and it is globally asymptotically stable, thus the worm persists in the network. Finally, numerical simulations are given to illustrate the theoretical results.

关 键 词：computer worm multi-group model Lyapunov function global dynamics 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]