突破传统病毒传播模型中均匀性和对称性的限制,将感染节点感染健康节点的概率依据其邻居节点度数而定,将健康节点易受感染程度依据其与感染节点度数的差异性而定,联合考虑两者的共同作用对病毒传播行为的影响。进一步引入作用因子,通过改变其中参数,验证其影响,仿真结果表明,感染节点感染的偏好性和传播行为的方向性的确对病毒传播速度有影响,最后给出了病毒传播过程加快和减缓的传播模式。
This paper breaks the uniformity and symmetry constraints of traditional virus propagation model,that the probability of infective node infect healthy node is decided in accordance with its neighbor node degree, and health nodes whose level be susceptible to infection according to their degree of difference with the infected nodes, considering the combined effect of both on the behavior of the spread of the virus. The impact on the virus behavior is verified by changing the parameters through the introduction of the role of those two factors. The simulation results show that the directionality of the infected node infection preferences and propagationbehavior does affect the speed of virusspreading, Finally, the spread of models given about the spread of the virus to speed up and slow down.
[1] Bailey N T J. The Mathematical Theory of Infectious Diseases and Its Applications[M]. New York:Hafner Press, 1975.
[2] Anderson R M, May R M. Infectious Diseases in Humans[M]. Oxford:Oxford University Press, 1992.
[3] Diekmann O, Heesterbeek J A P. Mathematical Epidemiology of Infectious Disease:Model Building, Analysis and Intepretation[M]. New York:John Wiley & Son Publisher, 2000.
[4] 范浩淼.基于复杂网络的计算机病毒传播的研究[DB/OL].[2012-12-26].http://www.docin.com/p-91462094.html.
Fan Haomiao. The research about virus spread in computers based on complex networks[DB/OL].[2012-12-26]. http://www.docin.com/p-91462094.html.
[5] Lloyd-Smith J O, Schreiber S J, Kopp P E, et al. Superspreading and the effect of individual variation on disease emergence[J].Nature, 2005, 438:355-359.
[6] Small M, Tse C K, Walker D M. Super-spreaders and the rate of transmission of the SARS virus[J]. Physica D, 2006, 215(2):146-158.
[7] Riley S.Transmission dynamics of the etiological agent of SARS in HongKong:impact of public health interventions[J].Science, 2003, 300(5627):1961-1966.
[8] Parashar U D, Anderson L J. Severe acute respiratory syndrome:review and lessons of the 2003 outbreak[J]. International Journal of Epidemiology, 2004, 33(4):628-634.