论文标题

考虑到无症状感染的影响

A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection

论文作者

Zhang, ZH., Huang, XT., Cheng, KD., Xu, CQ., Guo, SB., Wang, XJ.

论文摘要

COVID-19的流行病已经在世界各地传播了近三年,无症状的感染加剧了流行病的传播。为了评估无症状感染在流行病的传播中的作用,我们开发了数学模型,以评估由主要COVID-19变体的不同菌株引起的无症状感染的比例。分析表明,当对照繁殖数小于1时,该模型的无病平衡点在全球渐近稳定。当对照繁殖数大于1时,存在地方性平衡点并且是独特的,并且在局部渐近稳定。我们在与所选614G,alpha,delta和Omicron变体相对应的四个时期中拟合流行数据。拟合结果表明,从四个时期的比较中,被感染者中无症状的人的比例逐渐增加。我们还预测了四个时间周期的峰值时间和峰值,结果表明变体菌株的传输速度和传输强度在一定程度上增加了。最后,我们讨论了有症状感染对流行病扩散的检测率的影响。结果表明,随着检测率的增加,病例累积数量显着下降,但无症状感染比例的下降并不明显。因此,鉴于无症状感染的隐藏传播,需要有效地遏制流行病的传播,需要各种流行病和控制政策之间的合作。

The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic. To evaluate the role of asymptomatic infections in the spread of the epidemic, we develop mathematical models to assess the proportion of asymptomatic infections caused by different strains of the main covid-19 variants. The analysis shows that when the control reproduction number is less than 1, the disease-free equilibrium point of the model is globally asymptotically stable; and when the control reproduction number is greater than 1, the endemic equilibrium point exists and is unique, and is locally asymptotically stable. We fit the epidemic data in the four time periods corresponding to the selected 614G, Alpha, Delta and Omicron variants. The fitting results show that, from the comparison of the four time periods, the proportion of asymptomatic persons among the infected persons gradually increased. We also predict the peak time and peak value for the four time periods, and the results indicate that the transmission speed and transmission intensity of the variant strains increased to some extent. Finally, we discuss the impact of the detection ratio of symptomatic infections on the spread of the epidemic. The results show that with the increase of the detection ratio, the cumulative number of cases has dropped significantly, but the decline in the proportion of asymptomatic infections is not obvious. Therefore, in view of the hidden transmission of asymptomatic infections, the cooperation between various epidemic prevention and control policies is required to effectively curb the spread of the epidemic.

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