SEIQR移动网络蠕虫传播模型的时滞效应

Time Lag Effect of a SEIQR Mobile Network Worm Propagation Model

目前已有的蠕虫病毒传播模型大多没有考虑防病毒软件等一些防御措施所带来时滞问题,故已有模型并不能提供很好的有效措施.本文研究一类时滞SEIQR移动网络蠕虫传播模型,以蠕虫潜伏期时滞为分岔参数,推导出模型局部渐近稳定的充分条件,计算出产生Hopf分岔的时滞临界点,并对得出的结论进行了模拟验证.

In view of the existing worm propagation models,most of them don't consider the time-delay problem caused by some defense measures such as the application of anti-virus software,which makes the existing models can't provide very good effective measures.Therefore,this paper studies a kind of delay SEIQR mobile network worm propagation model.Taking the latent time delay of worm as the bifurcation parameter,the sufficient conditions for the local asymptotic stability of the model are derived,and the critical point of time delay for Hopf bifurcation is calculated.Finally,the conclusion is verified by simulation.