基于度相关性的病毒传播模型及其分析

Virus spreading model based on degree correlation and its analysis

近年来网络病毒传播已对网络安全构成严重威胁.研究表明,互联网宏观拓扑结构与病毒传播有很大关系.度相关性是互联网宏观拓扑的一个重要特征,度相关性的改变意味着互联网拓扑结构的变化.通过度相关特征分析,发现互联网的异配性呈现减弱趋势;本文使用DPR算法构造连续匹配系数的网络拓扑,以便在具有不同匹配系数上的网络上进行病毒传播实验,以此研究病毒的传播速度、稳态感染率、传播临界值;然后根据传统病毒传播模型SIS,建立了适合因特网上的病毒传播模型SIS-DVDI,并进行病毒传播实验,分析了病毒传播的稳态特性和瞬态特性;最后根据先前仿真实验得出的结论探讨了网络病毒的防护措施.

In recent years the virus spreading has produced a series threat to network security. The research shows that the Internet topology has a great relationship with the virus spreading. The degree correlation is as an important characteristic of the Internet topology, its changes means changing the Internet topology structure. According to analyzing the degree characteristic correlated, we find that the Internet disassortativity is weaken. The experiments about virus spreading are done on the networks what are produced by DPR algorithm under different associativity coefficient aiming to study the spreading rate, steady infection rate and spreading critical value; Then a virus spreading model suited for the Internet is proposed based on the traditional virus spreading model SIS （susceptible-infected-susceptible）. We do the experiments about the virus spreading and analyze the characteristic of virus spreading under steady and transient. Finally the protection policy of the virus spreading is discussed according to the simulation experiments results.