arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.04810physics.soc-phq-bio.PE
收藏

传染病的传播有潜伏期

Spread of Infectious Diseases with a Latent Period

Kanako Mizuno, Kazue Kudo

摘要:

传染病通过人际网络传播。易感-感染-清除(SIR)模型是一种描述复杂网络上个体间传染动力学的流行病模型。在集合种群SIR模型中,每个节点代表一个由多个个体组成的种群(群体)。在本文中,我们提出了一个修正的集合种群SIR模型,其中考虑了一个潜伏期。我们称之为SIIR模型。我们将感染期分为两个阶段:一个是感染阶段,这与之前的模型相同,另一个是重病阶段,在这个阶段,个体被感染,不能转移到其他人群中。在我们修改后的集合种群SIR模型中的两个感染阶段产生不连续的最终大小分布。处于感染阶段的个体像处于重病阶段的个体一样传播疾病,并且永远不会直接恢复,这使得有效恢复率小于给定的恢复率。

英文摘要:

Infectious diseases spread through human networks. Susceptible-Infected-Removed (SIR) model is one of the epidemic models to describe infection dynamics on a complex network connecting individuals. In the metapopulation SIR model, each node represents a population (group) which has many individuals. In this paper, we propose a modified metapopulation SIR model in which a latent period is taken into account. We call it SIIR model. We divide the infection period into two stages: an infected stage, which is the same as the previous model, and a seriously ill stage, in which individuals are infected and cannot move to the other populations. The two infectious stages in our modified metapopulation SIR model produce a discontinuous final size distribution. Individuals in the infected stage spread the disease like individuals in the seriously ill stage and never recover directly, which makes an effective recovery rate smaller than the given recovery rate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑