中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3309-3317.doi: 10.1088/1674-1056/18/8/035
史红静1, 段志生1, 李嵘1, 陈关荣2
Shi Hong-Jing(史红静)a)†, Duan Zhi-Sheng(段志生)a), Chen Guan-Rong(陈关荣)a)b), and Li Rong(李嵘)a)
摘要: In this paper, a new susceptible-infected-susceptible (SIS) model on complex networks with imperfect vaccination is proposed. Two types of epidemic spreading patterns (the recovered individuals have or have not immunity) on scale-free networks are discussed. Both theoretical and numerical analyses are presented. The epidemic thresholds related to the vaccination rate, the vaccination-invalid rate and the vaccination success rate on scale-free networks are demonstrated, showing different results from the reported observations. This reveals that whether or not the epidemic can spread over a network under vaccination control is determined not only by the network structure but also by the medicine's effective duration. Moreover, for a given infective rate, the proportion of individuals to vaccinate can be calculated theoretically for the case that the recovered nodes have immunity. Finally, simulated results are presented to show how to control the disease prevalence.
中图分类号: (Diseases)