具有复合隔离策略的计算机病毒传播模型的时滞动力学研究  

Delay Dynamics of a Computer Virus Propagation Model with Compound Quarantine Strategies

作　　者：杨芳芳 张子振[1] 段爱华[1] 门秀萍[1] YANG Fangfang;ZHANG Zizhen;DUAN Aihua;MEN Xiuping(College of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《安庆师范大学学报（自然科学版）》2022年第2期56-61,共6页Journal of Anqing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12001001);安徽省自然科学基金(2008085QA09)。

摘　　要：本研究针对一类具有复合隔离策略的计算机病毒传播模型的时滞动力学行为开展。由于具有临时免疫能力,处于恢复状态的计算机在转变为易感状态时需要一个短暂的时间,即存在免疫期时滞。不同状态下,计算机的病毒感染程度不一样,其隔离率也有所不同。综合考虑免疫期时滞和分级隔离率,建立具有复合隔离策略的时滞SLBQRS(Susceptible Latent Breaking out Quarantine Recovered Susceptible)模型,分析其特征方程根的分布情况,并对平衡点的局部稳定性和Hopf分岔的产生条件及性质进行阐述。数值模拟仿真结果表明,当时滞小于临界值时,计算机病毒在网络中的传播是可以得到控制的,一旦大于临界值,就会失去控制。This paper studies the time-delay dynamics of a computer virus propagation model with compound quarantine strategy.Due to its temporary immune ability,the recovered computer needs a short time to change into the susceptible state,in other words,there is an immune delay.Computers in diverse states are infected differently,which leads to different quarantine rate.A time-delay SLBQRS(Susceptible Latent Breaking out Quarantine Recovered Susceptible)model with compound quarantine strategy is established,which takes the immune time delay and the hierarchical quarantine rate into account.By analyzing the distribution of the roots of the characteristic equation corresponding to the model,the local stability of the equilibrium and the conditions and properties of Hopf bifurcation are described.The simulation results show that when the time-delay is less than the critical value,the spread of computer virus in the network can be controlled;once it is greater than the critical value,it will lose control.

关 键 词：复合隔离策略 免疫期时滞 SLBQRS模型 HOPF分岔 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]