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加强针接种与第五波新冠疫情动态:一种用于疾病进展的高效简单数学模型

Booster Dose Vaccination and Dynamics of COVID-19 Pandemic in the Fifth Wave: An Efficient and Simple Mathematical Model for Disease Progression.

作者信息

Theparod Thitiya, Kreabkhontho Pannathon, Teparos Watchara

机构信息

Department of Mathematics, Mahasarakham University, Maha Sarakham 44150, Thailand.

Department of General Science, Faculty of Science and Engineering, Chalermphrakiat Sakon Nakhon Province Campus, Kasetsart University, Sakon Nakhon 47000, Thailand.

出版信息

Vaccines (Basel). 2023 Mar 3;11(3):589. doi: 10.3390/vaccines11030589.

Abstract

BACKGROUND

Mathematical studies exploring the impact of booster vaccine doses on the recent COVID-19 waves are scarce, leading to ambiguity regarding the significance of booster doses.

METHODS

A mathematical model with seven compartments was used to determine the basic and effective reproduction numbers and the proportion of infected people during the fifth wave of COVID-19. Using the next-generation matrix, we computed the effective reproduction parameter, Rt.

RESULTS

During the fifth COVID-19 wave, the basic reproductive number in Thailand was calculated to be R0= 1.018691. Analytical analysis of the model revealed both local and global stability of the disease-free equilibrium and the presence of an endemic equilibrium. A dose-dependent decrease in the percentage of infected individuals was observed in the vaccinated population. The simulation results matched the real-world data of the infected patients, establishing the suitability of the model. Furthermore, our analysis suggested that people who had received vaccinations had a better recovery rate and that the death rate was the lowest among those who received the booster dose. The booster dose reduced the effective reproduction number over time, suggesting a vaccine efficacy rate of 0.92.

CONCLUSION

Our study employed a rigorous analytical approach to accurately describe the dynamics of the COVID-19 fifth wave in Thailand. Our findings demonstrated that administering a booster dose can significantly increase the vaccine efficacy rate, resulting in a lower effective reproduction number and a reduction in the number of infected individuals. These results have important implications for public health policymaking, as they provide useful information for the more effective forecasting of the pandemic and improving the efficiency of public health interventions. Moreover, our study contributes to the ongoing discourse on the effectiveness of booster doses in mitigating the impact of the COVID-19 pandemic. Essentially, our study suggests that administering a booster dose can substantially reduce the spread of the virus, supporting the case for widespread booster dose campaigns.

摘要

背景

探索加强针疫苗剂量对近期新冠疫情浪潮影响的数学研究很少,这导致了关于加强针剂量重要性的模糊性。

方法

使用一个具有七个区室的数学模型来确定新冠疫情第五波期间的基本繁殖数和有效繁殖数以及感染人群的比例。使用下一代矩阵,我们计算了有效繁殖参数Rt。

结果

在新冠疫情第五波期间,泰国的基本繁殖数经计算为R0 = 1.018691。对该模型的分析表明无病平衡点的局部和全局稳定性以及地方病平衡点的存在。在接种疫苗的人群中观察到感染个体百分比呈剂量依赖性下降。模拟结果与感染患者的实际数据相符,证实了该模型的适用性。此外,我们的分析表明,接种过疫苗的人康复率更高,而接受加强针剂量的人死亡率最低。随着时间的推移,加强针剂量降低了有效繁殖数,表明疫苗有效率为0.92。

结论

我们的研究采用了严谨的分析方法来准确描述泰国新冠疫情第五波的动态。我们的研究结果表明,接种加强针可以显著提高疫苗有效率,导致有效繁殖数降低和感染个体数量减少。这些结果对公共卫生政策制定具有重要意义,因为它们为更有效地预测疫情和提高公共卫生干预效率提供了有用信息。此外,我们的研究有助于正在进行的关于加强针剂量在减轻新冠疫情影响方面有效性的讨论。从本质上讲,我们的研究表明接种加强针可以大幅减少病毒传播,支持广泛开展加强针接种运动的理由。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b904/10058444/b46574a4126b/vaccines-11-00589-g001.jpg

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