一类具有脉冲控制的计算机病毒传播模型研究（英文）  

A Propagation Model of Computer Virus with Vaccination Strategy

作　　者：曾家健[1] 刘于江[2] 

机构地区：[1]赣南师范大学商学院,江西赣州341000 [2]赣南师范大学江西省数值模拟与仿真技术重点实验室,江西赣州341000

出　　处：《赣南师范学院学报》2016年第3期6-10,共5页Journal of Gannan Teachers' College(Social Science(2))

基　　金：国家自然科学基金项目(11261004);江西省社会科学规划项目(14XW08);江西省十二五教育科学规划项目(15ZD3LYB031)

摘　　要：建立一类具有连续和脉冲控制的计算机网络病毒传播模型,得到基本再生数R_0,并证明当R_0<1时,病毒将消除;当R_0>1时,病毒会扩散;数据模拟验证了理论结果.研究结果表明连续和脉冲相结合的控制策略有利于病毒的消除.A mathematical model describing the propagation of computer virus on the Internet is presented,in which continuous control strategy of and impulsive vaccination are taken into consideration. We obtain the reproduction number R0,and further prove that a computer virus cannot invade if R0 is less than unit and can invade if R0 is larger than unit.Several numerical simulations are given to illustrate our main results. Furthermore we find that the combination of continuous and impulsive vaccination is helpful to eliminate the virus.

关 键 词：计算机病毒 脉冲接种 灭绝 

分 类 号：O175.1[理学—数学]