Grabowski A, Kosiński R A
Central Institute for Labour Protection-National Research Institute, 00-701 Warsaw, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3 Pt 1):031908. doi: 10.1103/PhysRevE.70.031908. Epub 2004 Sep 21.
A model of epidemic spreading in a population with a hierarchical structure of interpersonal interactions is described and investigated numerically. The structure of interpersonal connections is based on a scale-free network. Spatial localization of individuals belonging to different social groups, and the mobility of a contemporary community, as well as the effectiveness of different interpersonal interactions, are taken into account. Typical relations characterizing the spreading process, like a range of epidemic and epidemic curves, are discussed. The influence of preventive vaccinations on the spreading process is investigated. The critical value of preventively vaccinated individuals that is sufficient for the suppression of an epidemic is calculated. Our results are compared with solutions of the master equation for the spreading process and good agreement of the character of this process is found.
描述并数值研究了一个人际互动具有层次结构的人群中流行病传播模型。人际连接结构基于无标度网络。考虑了不同社会群体中个体的空间定位、当代社区的流动性以及不同人际互动的有效性。讨论了表征传播过程的典型关系，如流行范围和流行曲线。研究了预防性疫苗接种对传播过程的影响。计算了足以抑制流行病的预防性接种个体的临界值。将我们的结果与传播过程主方程的解进行了比较，发现该过程的特征具有良好的一致性。
