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

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.