This paper is devoted to measuring the security of cyber networks underadvanced persistent threats (APTs). First, an APT-based cyber attack-defenseprocess is modeled as an individual-level dynamical system. Second, the dynamicmodel is shown to exhibit the global stability. On this basis, a new securitymetric of cyber networks, which is known as the limit security, is defined asthe limit expected fraction of compromised nodes in the networks. Next, theinfluence of different factors on the limit security is illuminated throughtheoretical analysis and computer simulation. This work helps understand thesecurity of cyber networks under APTs.
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