论文标题

在异质网络上流行模型的类型繁殖编号

Type reproduction number for epidemic models on heterogeneous networks

论文作者

Morita, Satoru

论文摘要

感染可以轻松地在具有异质度分布的网络上传播。在这里,我们考虑了此类网络上的有针对性免疫,其中,连通性最高的个体被免疫。为了量化这种靶向免疫方法对种群免疫的影响,我们提出了一种使用类型繁殖数的方法。因此,我们得出了一个精确而简单的公式,该公式可以产生免疫阈值,据我们所知,这是文献中提出的第一个结果。

Infection can spread easily on networks with heterogeneous degree distribution. Here, we considered targeted immunization on such networks, wherein a fraction of individuals with the highest connectivity are immunized. To quantify the effect of this targeted immunization approach on population immunity, we proposed a method using the type reproduction number. Consequently, we derived a precise and simple formula that can yield the immunization threshold, which, to the best of our knowledge, is the first such result presented in the literature.

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