【摘要】 根据计算机病毒的性质,针对常驻病毒所经历2个重要阶段的特点:在潜伏阶段病毒因未加载入内存而不具有感染力;在活跃阶段,病毒驻留于内存并伺机感染目标文件,划分了2个新的具有不同感染率的计算机仓室,建立了一种新的具有分级感染率的常驻病毒传播模型,并应用稳定性理论和仿真实验研究了该模型的动力性质,研究结果表明所提模型的动力行为完全由基本再生率决定,如果基本再生率小于等于一则无毒平衡点的全局稳定,如果基本再生率大于一则有毒平衡点局部稳定,并根据仿真实验猜测其全局稳定,通过对基本再生率进行系统参数敏感性分析,提出了有效阻止病毒网络传播的控制策略。更多还原

【Abstract】 A new resident virus propagation model with graded infection rate is established based on the properties of two important stages undergoing by resident virus,which are the latent phase,in which resident virus cannot infect other hosts because it has not yet been loaded into memory and the active phase,in which resident virus resides in memory and infects any suitable program that is executed on the computer.Two computer compartments with different infection rate are established.Furthermore,the dynamic behaviors of this model are investigated by stability theory and numerical simulations.It is found that the dynamical properties of this model are determined by basic reproductive rate.Specifically,virus-free equilibrium is globally asymptotically stable if basic reproductive rate is less than or equal to one,whereas the local asymptotical stability of the viral equilibrium is guaranteed if basic reproductive rate is bigger than one,followed by a conjecture on its global stability.Then the sensitivity analysis of basic reproductive rate to the system parameters is investigated and a collection of policies is advised to control the spread of computer virus over the Internet.更多还原