【摘要】：當今世界互聯網高速發(fā)展,尤其是移動互聯網已經成為人們生活中必不可少的部分。人們日常生活中的通信、咨詢、打車、餐飲、金融等方方面面都可以在移動互聯網上進行。這就給互聯網安全提出了更高的要求。然而蠕蟲病毒一直是互聯網安全的重大威脅。它曾以極快的傳播速度與復制能力,極強的感染與破壞能力,入侵了全球成千上萬臺計算機,阻礙了人們的正常生活,并造成了巨大的經濟損失。目前的操作系統(tǒng)市場,尤其是智能手機操作系統(tǒng)市場中,多種操作系統(tǒng)并存,同一種操作系統(tǒng)的碎片化嚴重,甚至一些官方放棄安全支持的老舊系統(tǒng)仍然占有相當的市場份額。這種現象嚴重阻礙了網絡安全的保障,尤其給了蠕蟲病毒可乘之機。通過建立蠕蟲病毒的傳染病模型是探究蠕蟲傳播規(guī)律的重要手段。然而現在并沒有針對易感染狀態(tài)(S狀態(tài))進行區(qū)分的模型。本文通過對易感染狀態(tài)進行區(qū)分,代表多種采用不同操作系統(tǒng)的計算機,進一步模擬蠕蟲病毒真實的傳播規(guī)律。并基于以往優(yōu)秀的傳播模型,建立了 MultiS-IR模型、MultiS-IQV模型、MultiS-EIQV模型以及綜合性的MultiS-EIQV模型。另外,脈沖接種與脈沖隔離兩種策略也會被引用到這幾種模型之中。本文會著重分析上述幾種模型的穩(wěn)定性,并求出模型的無病平衡點,同時會給出模型的基本再生數。當基本再生數小于1時,模型在該無病平衡點是穩(wěn)定的。在各章的最后會通過模擬實驗來模擬各個模型的傳播情況,進一步驗證模型的穩(wěn)定性,并且模型中幾個重要的參數也會得到深入的分析。
[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.
【學位授予單位】：河北師范大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TP393.08

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本文編號：2422487