Global Bifurcation of a Novel Computer Virus Propagation Model
Global Bifurcation of a Novel Computer Virus Propagation Model
复制标题
新型计算机病毒传播模型的全局分叉
DOI：
10.1155/2014/731856
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发表时间：
2014-01-01
影响因子：
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通讯作者：
Liu, Jiming
中科院分区：
文献类型：
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作者：
Ren, Jianguo;Xu, Yonghong;Liu, Jiming
J. Ren et al.（2012）在最近的一篇论文中，建立了一种新的计算机病毒在真实网络中受反病毒能力影响的传播模型。该分析仅部分揭示了局部分叉情况下病毒在网络中传播的动态行为。本文通过数学分析进一步证明，在适当的参数值下，模型可以发生全局B-T分岔，并得到了鞍节点分岔、Hopf分岔和同斜分岔的曲线，用以说明病毒传播的定性行为。在此基础上，建议使用一系列策略来阻止病毒的流行。据我们所知，这是首次探讨计算机病毒传播的全局分岔。理论结果和相应的建议可能有助于我们抑制或消除病毒在网络中的传播。
In a recent paper by J. Ren et al. (2012), a novel computer virus propagation model under the effect of the antivirus ability in a real network is established. The analysis there only partially uncovers the dynamics behaviors of virus spread over the network in the case where around bifurcation is local. In the present paper, by mathematical analysis, it is further shown that, under appropriate parameter values, the model may undergo a global B-T bifurcation, and the curves of saddle-node bifurcation, Hopf bifurcation, and homoclinic bifurcation are obtained to illustrate the qualitative behaviors of virus propagation. On this basis, a collection of policies is recommended to prohibit the virus prevalence. To our knowledge, this is the first time the global bifurcation has been explored for the computer virus propagation. Theoretical results and corresponding suggestions may help us suppress or eliminate virus propagation in the network.