Basic reproduction number of epidemic models on sparse networks
Basic reproduction number of epidemic models on sparse networks
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稀疏网络上流行病模型的基本再生数
DOI：
10.1103/physreve.106.034318
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发表时间：
2022
影响因子：
2.4
通讯作者：
Morita Satoru
中科院分区：
文献类型：
--
作者：
Shibata Taiki;Yamamoto Satoru;Nakazawa Shigeaki;Lapasar Elham Hosseini;Sugisaki Kenji;Maruyama Koji;Toyota Kazuo;Shiomi Daisuke;Sato Kazunobu;Takui Takeji;家富 洋;Morita Satoru
基本生殖数是流行病学中控制感染的标准指标.尽管在确定性传染病模型中已经得到了广泛的研究，但对于采用网络结构的模型，还没有精确的公式。在这里，我们扩展了一个四室模型，其中包括常用的流行病模型的网络上的马尔可夫过程。通过对马尔可夫过程的详细研究，我们导出了包含两个概率值的正则公式.数值计算表明，当网络很稀疏时，导出的公式比传统公式有更好的近似性。我们建议将其作为控制只能通过亲密接触传播的感染的标准公式，其中个体之间的接触可以被描述为稀疏网络。
The basic reproduction numberis a standard indicator of infection control in epidemiology. Althoughhas been studied extensively for deterministic epidemic models, it has not been formulated accurately for models adopting network structures. Here, we extend a four-compartment model that includes commonly used epidemic models to a Markov process on networks. By examining the Markov process in detail, we derive a canonical formula forinvolving two probability values. Numerical calculations show that the derived formula is a better approximation than the conventional formula when the network is very sparse. We propose this as a standard formula for controlling infections that can only be transmitted through intimate contact, where contacts between individuals can be described as a sparse network.