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A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
Computational and Mathematical Methods in Medicine ( IF 2.809 ) Pub Date : 2021-03-31 , DOI: 10.1155/2021/6664483
Pakwan Riyapan 1 , Sherif Eneye Shuaib 1 , Arthit Intarasit 1
Affiliation  

In this study, we propose a new mathematical model and analyze it to understand the transmission dynamics of the COVID-19 pandemic in Bangkok, Thailand. It is divided into seven compartmental classes, namely, susceptible exposed symptomatically infected asymptomatically infected quarantined recovered and death , respectively. The next-generation matrix approach was used to compute the basic reproduction number denoted as of the proposed model. The results show that the disease-free equilibrium is globally asymptotically stable if . On the other hand, the global asymptotic stability of the endemic equilibrium occurs if . The mathematical analysis of the model is supported using numerical simulations. Moreover, the model’s analysis and numerical results prove that the consistent use of face masks would go on a long way in reducing the COVID-19 pandemic.

中文翻译:

COVID-19 大流行的数学模型:以泰国曼谷为例

在这项研究中,我们提出了一个新的数学模型并对其进行分析,以了解泰国曼谷 COVID-19 大流行的传播动态。它分为七个区室类别,即易感裸露有症状感染无症状感染者被隔离恢复了和死亡分别。下一代矩阵方法用于计算所提出模型的基本再生数。结果表明,无病平衡是全局渐近稳定的,如果另一方面,如果发生地方性平衡的全局渐近稳定性使用数值模拟支持模型的数学分析。此外,该模型的分析和数值结果证明,持续使用口罩对于减少 COVID-19 大流行将大有帮助。
更新日期:2021-03-31
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