基于脉冲微分方程的移动自组网病毒传播免疫模型

Mobile ad-hoc network virus propagation immunization model based on impulsive differential equations

在移动自组网(MANETs)领域,节点的移动特性导致网络拓扑结构动态变化,安全补丁无法在网络中快速传播,从而没有对移动自组网脉冲免疫下的病毒传播进行研究.对此考虑到MANETs脉冲免疫的现实可行性,建立MANETs病毒传播脉冲免疫模型.基于脉冲微分方程(Impulsive Differential Equations,IDE)稳定性理论分析脉冲免疫下的MANETs的病毒传播行为和病毒是否消亡的感染临界特性,并对该系统的无病(Disease-free,DF)周期解的存在性、稳定性以及地方病(Endemic,ED)的持续存在性加以分析.并选取相应的参数,对系统进行数值仿真,实验结果验证了所得结论的正确性与一致性.

In Mobile ad-hoc network（MANETs）field,with the moving characteristic of nodes leading to the dynamic change in network topology,security patches can＇t rapidly spread in the network,thus not to study the virus propagation immuning to the Mobile ad-hoc network pulse.Considering the realistic feasibility of MANETs pulse immunization,MANETs virus transmition pulse immunization model was established.Based on the Impulsive Differential equation（Impulsive Differential Equations,IDE）stability theory,the MANETs virus propagation behavior under pulsed immune and the critical characteristics of infection denoting whether viruses die out were analyzed,as well as the existence,stablity of the system periodic solution of disease-free（diseases-free,DF）,and the persistent existence of the Endemic diseases（Endemic,ED）.With corresponding parameters selected,the numerical simulation was carried out upon the system,the experimental results of which validate the correctness and consistency of the conclusion.