Dynamical analysis and control strategies on malware propagation model

Dynamical analysis and control strategies on malware propagation model
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恶意软件传播模型的动态分析与控制策略

DOI:
10.1016/j.apm.2013.03.051
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发表时间:
2013-09
影响因子:
5
通讯作者:
Li, Huaqing
Li, Huaqing
中科院分区:
工程技术2区
文献类型:
--
作者:
Feng, Liping;Liao, Xiaofeng;Han, Qi;Li, Huaqing

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采用可变感染率预测恶意软件的动态传播行为更为现实。在本文中,我们通过引入时间免疫和可变感染率,提出了一个时滞sirs模型。获得决定恶意软件是否消亡的基本繁殖数0。进一步,以时滞为分岔参数,推导了该模型发生Hopf分岔的充分必要条件。最后,通过数值仿真验证了理论结果的正确性。最重要的是,我们研究了可变感染率对恶意软件流行规模的影响,并通过仿真将我们的模型与平稳分析模型进行了比较。根据仿真结果,给出了一些控制恶意软件泛滥的策略,这些策略可以被整合到具有成本效益的反病毒策略中,使组织在实践中发挥良好的作用。
A variable infection rate is more realistic to forecast dynamical behaviors of malware (malicious software) propagation. In this paper, we propose a time-delayedSIRSmodel by introducing temporal immunity and the variable infection rate. The basic reproductive numberR0which determines whether malware dies out is obtained. Furthermore, using time delay as a bifurcation parameter, some necessary and sufficient conditions ensuring Hopf bifurcation to occur for this model are derived. Finally, numerical simulations verify the correctness of theoretical results. Most important of all, we investigate the effect of the variable infection rate on the scale of malware prevalence and compare our model with stationary analytical model by simulation. According to simulating results, some strategies that control malware rampant are given, which may be incorporated into cost-effective antivirus policies for organizations to work quite well in practice.
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