Impulsive Control of the Spread of Worms with Nonlinear Incidence Rates

摘要：

There has been a constant barrage of worms over the internet during the recent past. To develop appropriate tools for thwarting quick spread of worms, researchers are trying to understand the behavior of the worm propagation with the aid of epidemiological models. In this study, a SIR epidemic model with dynamic input-output property and nonlinear incidence rates is presented. The dynamics of this model under pulse control are analyzed. We established the conditions and threshold to the existence of the disease-free T-Periodic solution and proved that the disease-free T-Periodic solution is globally asymptotically stable.

关键词： Epidemiological model Impulsive differential inequality Globally asymptotically stability

作者: Tao Li Hong Guan Yuanmei Wang Yong Li

作者单位: College of Electronics and Information, Yangtze University, Jingzhou 434023, China Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Joinhand Construction Machinery Co.Ltd, Jingzhou 434024, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 966-969

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）