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多系统并存下的蠕虫病毒传播模型

发布时间:2019-02-14 18:47
【摘要】:当今世界互联网高速发展,尤其是移动互联网已经成为人们生活中必不可少的部分。人们日常生活中的通信、咨询、打车、餐饮、金融等方方面面都可以在移动互联网上进行。这就给互联网安全提出了更高的要求。然而蠕虫病毒一直是互联网安全的重大威胁。它曾以极快的传播速度与复制能力,极强的感染与破坏能力,入侵了全球成千上万台计算机,阻碍了人们的正常生活,并造成了巨大的经济损失。目前的操作系统市场,尤其是智能手机操作系统市场中,多种操作系统并存,同一种操作系统的碎片化严重,甚至一些官方放弃安全支持的老旧系统仍然占有相当的市场份额。这种现象严重阻碍了网络安全的保障,尤其给了蠕虫病毒可乘之机。通过建立蠕虫病毒的传染病模型是探究蠕虫传播规律的重要手段。然而现在并没有针对易感染状态(S状态)进行区分的模型。本文通过对易感染状态进行区分,代表多种采用不同操作系统的计算机,进一步模拟蠕虫病毒真实的传播规律。并基于以往优秀的传播模型,建立了 MultiS-IR模型、MultiS-IQV模型、MultiS-EIQV模型以及综合性的MultiS-EIQV模型。另外,脉冲接种与脉冲隔离两种策略也会被引用到这几种模型之中。本文会着重分析上述几种模型的稳定性,并求出模型的无病平衡点,同时会给出模型的基本再生数。当基本再生数小于1时,模型在该无病平衡点是稳定的。在各章的最后会通过模拟实验来模拟各个模型的传播情况,进一步验证模型的稳定性,并且模型中几个重要的参数也会得到深入的分析。
[Abstract]:Nowadays, the rapid development of the Internet in the world, especially the mobile Internet, has become an indispensable part of people's life. All aspects of people's daily life, such as communication, consultation, taxi, catering, finance and so on, can be carried out on the mobile Internet. This puts forward higher requirements for Internet security. However, worms have been a major threat to Internet security. It has invaded thousands of computers all over the world with its high speed of transmission and ability of replication and strong ability of infection and destruction. It has hindered people's normal life and caused huge economic losses. In the current operating system market, especially in the smartphone operating system market, many operating systems coexist, and the fragmentation of the same operating system is serious. Even some old and old systems that give up security support still occupy a considerable market share. This phenomenon seriously hinders the network security, especially gives the worm the opportunity. It is an important method to explore the law of worm spread by establishing the infectious disease model of worm virus. However, there is no model for distinguishing susceptible states (S states). In this paper, we distinguish the vulnerable states and represent a variety of computers with different operating systems to simulate the true spread of worm virus. Based on the excellent propagation model, MultiS-IR model, MultiS-IQV model, MultiS-EIQV model and comprehensive MultiS-EIQV model are established. In addition, the two strategies of pulse vaccination and pulse isolation are also cited in these models. In this paper, the stability of the above models is analyzed, and the disease-free equilibrium point of the model is obtained. At the same time, the basic reproducing number of the model is given. When the basic reproduction number is less than 1, the model is stable at the disease-free equilibrium point. At the end of each chapter, simulation experiments will be used to simulate the propagation of each model to further verify the stability of the model, and several important parameters in the model will also be deeply analyzed.
【学位授予单位】:河北师范大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:TP393.08

【参考文献】

相关期刊论文 前3条

1 李录苹;;具有脉冲出生和脉冲接种的SEIR模型[J];山西师范大学学报(自然科学版);2013年01期

2 王长广;沈玉龙;马建峰;;一种蓝牙环境下恶意程序的传播模型[J];西安电子科技大学学报;2009年01期

3 ;Commwarrior worm propagation model for smart phone networks[J];The Journal of China Universities of Posts and Telecommunications;2008年02期



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