复杂网络上带有直接免疫的SIRS类传染模型研究

SIRS epidemic model with direct immunization on complex networks

在SIRS(susceptible-infected-removed-susceptible)模型基础上,提出一个带有直接免疫的SIRS类传染模型.利用平均场理论,分析得到该传播模型的传染临界阈值主要与网络拓扑结构、直接免疫速率和免疫丧失速率有关.理论分析和数值仿真表明,直接免疫作用可以增大复杂网络上疾病传播的临界阈值、降低传染性疾病的传播范围,从而有效控制疾病在复杂网络上传播.

An epidemic model with direct immunization is proposed based on SIRS （susceptible-infected-removed- susceptible） model. By using the mean-field theory, the epidemic threshold of the model is concerned with the topology of networks, direct immunization rate and loss rate of immunity. Theoretical analyses and numerical simulations indicate that the direct immunization can increase the critical threshold Of epidemic spreading on complex networks and reduce the prevalence of infectious disease, thus effectively control the disease spreading on complex networks.