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Mathematical computations on epidemiology: a case study of the novel coronavirus (SARS-CoV-2)
Theory in Biosciences ( IF 1.1 ) Pub Date : 2021-03-07 , DOI: 10.1007/s12064-021-00339-5
Saikat Batabyal 1 , Arthita Batabyal 1
Affiliation  

The outbreak of coronavirus COVID-19 is spreading at an unprecedented rate to the human populations and taking several thousands of life all over the world. Scientists are trying to map the pattern of the transmission of coronavirus (SARS-CoV-2). Many countries are in the phase of lockdown in the globe. In this paper we predict about the effect of coronavirus COVID-19 and give a sneak peak when it will reduce the transmission rate in the world via mathematical modelling. In this research work our study is based on extensions of the well-known susceptible-exposed-infected-recovered (SEIR) family of compartmental models and later we observe the new model changes into (SEIR) without changing its physical meanings. The stability analysis of the coronavirus depends on changing of its basic reproductive ratio. The progress rate of the virus in the critically infected cases and the recovery rate have major roles to control this epidemic. The impact of social distancing, lockdown of the country, self-isolation, home quarantine and the wariness of global public health system have significant influence on the parameters of the model system that can alter the effect of recovery rates, mortality rates and active contaminated cases with the progression of time in the real world. The prognostic ability of mathematical model is circumscribed as of the accuracy of the available data and its application to the problem.



中文翻译:

流行病学的数学计算:以新型冠状病毒 (SARS-CoV-2) 为例

冠状病毒 COVID-19 的爆发正以前所未有的速度向人类蔓延,并在全世界夺去数千人的生命。科学家们正试图绘制冠状病毒 (SARS-CoV-2) 的传播模式。全球许多国家都处于封锁阶段。在本文中,我们预测了冠状病毒 COVID-19 的影响,并通过数学模型给出了它何时会降低世界范围内的传播率。在这项研究工作中,我们的研究基于众所周知的易感-暴露-感染-恢复 (SEIR) 隔室模型家族的扩展,后来我们观察到新模型变为 (SEIR) 而不改变其物理意义。冠状病毒的稳定性分析取决于其基本繁殖率的变化。重症病例中病毒的进展率和康复率对控制本次疫情具有重要作用。社会距离、国家封锁、自我隔离、家庭隔离和全球公共卫生系统的警惕性对模型系统的参数有重大影响,这些参数可以改变恢复率、死亡率和活跃感染病例的影响随着现实世界中时间的推移。数学模型的预测能力受限于可用数据的准确性及其对问题的应用。家庭隔离和全球公共卫生系统的警惕性对模型系统的参数有重大影响,这些参数可以改变现实世界中康复率、死亡率和活动性感染病例的影响。数学模型的预测能力受限于可用数据的准确性及其对问题的应用。家庭隔离和全球公共卫生系统的警惕性对模型系统的参数有重大影响,这些参数可以改变现实世界中康复率、死亡率和活动性感染病例的影响。数学模型的预测能力受限于可用数据的准确性及其对问题的应用。

更新日期:2021-03-07
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