计算机病毒传播的随机模型

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Dynamics and Games Pub Date : 2020-01-01 DOI:10.3934/jdg.2020010

M. Lefebvre

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引用次数: 3

摘要

在经典Kermack-McKendrick模型的基础上，提出了计算机病毒传播的三维连续时间随机模型。并在模型中引入控制变量。我们寻找最小化或最大化清理受感染计算机所需的预期时间，或保护它们免受病毒侵害的控制措施。利用动态规划的方法，导出了数值函数所满足的方程。具体问题得到明确解决。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A stochastic model for computer virus propagation

A three-dimensional continuous-time stochastic model based on the classic Kermack-McKendrick model for the spread of epidemics is proposed for the propagation of a computer virus. Moreover, control variables are introduced into the model. We look for the controls that either minimize or maximize the expected time it takes to clean the infected computers, or to protect them from the virus. Using dynamic programming, the equations satisfied by the value functions are derived. Particular problems are solved explicitly.

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来源期刊

Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.