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arXiv 1602.06807cs.CRcs.SIcs.SYeess.SYmath.DSphysics.soc-ph
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预防性与反应性网络安全防御动力学是全局稳定的

Preventive and Reactive Cyber Defense Dynamics Is Globally Stable

School of Mathematics, Fudan University(复旦大学数学学院);Department of Computer Science, University of Texas at San Antonio(德克萨斯大学圣安东尼奥分校计算机科学系)

Ren Zheng, Wenlian Lu, Shouhuai Xu

AI总结:

本文研究预防性与反应性防御对抗推式和拉式攻击的动力学,证明其在全部参数空间内全局稳定,并提出更紧的均衡界。

摘要:

最近提出的网络安全动力学方法通过建模全球网络安全状态的演变,从整体视角理解网络安全。这些模型描述了各种网络安全防御与攻击之间的相互作用。我们研究由预防性与反应性防御(如过滤和恶意软件检测)与推式和拉式攻击(如恶意软件传播和

英文摘要:

The recently proposed {\em cybersecurity dynamics} approach aims to understand cybersecurity from a holistic perspective by modeling the evolution of the global cybersecurity state. These models describe the interactions between the various kinds of cyber defenses and the various kinds of cyber attacks. We study a particular kind of cybersecurity dynamics caused by the interactions between preventive and reactive defenses (e.g., filtering and malware detection) against push- and pull-based cyber attacks (e.g., malware spreading and "drive-by download" attacks). The dynamics was previously shown to be globally stable in a {\em special} regime of the parameter universe, but little is known beyond this special regime. In this paper, we resolve an open problem in this domain by proving that the dynamics is globally stable in the {\em entire} parameter universe (i.e., the dynamics always converges to a unique equilibrium). We discuss the cybersecurity meanings and implications of this theoretic result. We also prove that the dynamics converges {\em exponentially} to the equilibrium except for a special parameter regime, in which case the dynamics converges {\em polynomially}. Since it is often difficult to compute the equilibrium, we propose new bounds of the equilibrium and numerically show that these bounds are tighter than those proposed in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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