带接种免疫的网络传染病的有效度模型

An Effective Degree Epidemic Model with Vaccination on Networks

传染病动力学模型是分析疾病传播的有效方法,能够解释疾病流行因素,并为疾控提供理论指导,而复杂网络的兴起为传染病建模提供了更好的工具,是最近几年的研究热点.在Lindquist等人提出的网络有效度模型的基础上加以推广,引入疫苗接种,提出了一个新的网络传染病模型,称之为"SV+SIS"模型.利用The next generation matrix方法计算了模型的传播阈值,并与各种SIS,SIR模型进行比较,结果发现疫苗接种能够有效降低基本再生数,这说明疫苗接种比因感染而获得免疫的防控效果更好.研究结果为传染病动力学的建模和分析提供了很好的参考.

Epidemic modeling is a reliable approach to analyze the spreading dynamics, which can reveal the epidemiology and provide guidance for disease control. Recent developmerit of the complex network theory has provided a better implement for epidemic modeling, which has become research hotspots in recent years. Here we generalize the effective degree models proposed by Lindquist et al and put forward a new epidemic model with vaccination on networks, which can be called as ＂SV＋SIS＂. We use the next generation matrix approach to calculate the spreading threshold of the model, and compare it with those in SIS and SIR models. We find that the vaccination intervention can effectively reduce the basic reproductive number, which implies that vaccination is an efficient measure for preventing and controlling epidemics. The results can provide good reference for the modeling and analysis of epidemiology.