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基于阶段的冠状病毒传播性的数学建模。

Mathematical modelling on phase based transmissibility of Coronavirus.

作者信息

Krishna M Veera, Prakash J

机构信息

Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, 518007, India.

Department of Mechanical Engineering Science, Faculty of Engineering and the Built Environment, University of Johannesburg, Auckland Park Kingsway Campus, Johannesburg, South Africa.

出版信息

Infect Dis Model. 2020 Jun 30;5:375-385. doi: 10.1016/j.idm.2020.06.005. eCollection 2020.

DOI:10.1016/j.idm.2020.06.005
PMID:32695940
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7352073/
Abstract

Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of many variables ranging from micro-host-pathogen interactions to host-to-host encounters, and the prevailing cultural, social, economic, and local customs worldwide. As reported by the WHO, a novel corona virus (COVID-19) is identified as the etiological virus through Wuhan pneumonia for unknown etiology with Chinese administration on Jan 7, 2020. This virus is designated as an unsympathetic SARS-Cov-2 by International Commission for Taxonomy of Viruses on Feb 11, 2020. The main aim is to enlarge a phase based mathematical modelling to specify the transferability of this disease. It is developed Reservoir-individuals spreading set of connections modelling for imitating the prospective broadcast as of the infectivity foundation in the direction of the person infectivity. In view of the fact that, the Reservoir has set of connections to rigid to see the sights obviously as well as communal anxieties are concentrating on top of the spreading starting reservoir to individuals. The subsequent generation matrix methodology is endorsed towards compute the fundamental reproduction number ( ) through the RP modelling to measure the transferability by the COVID-19. The values of are estimated from reservoir to human being as well as starting individual to individual, that is to say, the accepted quantity of less important diseases this consequence from presenting a solitary contaminated personality addicted to differently susceptible inhabitants. The present model demonstrated that the spreading of COVID-19 is superior to the Middle-East pulmonary infirmity during the Middle-East nationals, analogous to harsh sensitive pulmonary infirmity, but inferior than Middle-East pulmonary infirmity within the Republic of Korea. It can also extend this study to some other countries, including Saudi Arabia, Italy, and Germany etc. The COVID-19 pandemic has become the leading societal concern. The pandemic has shown that the public health concern is not only a medical problem, but also affects society as a whole; so, it has also become the leading scientific concern.

摘要

数学和流行病学模拟在预测、预判及控制当前和未来的流行病方面发挥着关键作用。为了更好地理解和模拟特定感染的动态变化,研究人员需要考虑从微观宿主-病原体相互作用到宿主间接触等诸多变量的影响,以及全球范围内盛行的文化、社会、经济和当地习俗。据世界卫生组织报告,2020年1月7日,中国相关部门将一种新型冠状病毒(COVID-19)确定为不明病因的武汉肺炎的病原病毒。2020年2月11日,国际病毒分类委员会将该病毒指定为严重急性呼吸综合征冠状病毒2(SARS-CoV-2)。主要目的是扩展基于阶段的数学建模,以明确这种疾病的传播能力。开发了储库-个体传播连接集模型,用于模拟从传染源到个体感染性的预期传播。鉴于储库的连接过于固定而难以清晰观察,且公众焦虑集中在从储库到个体的传播上。随后采用下一代矩阵方法,通过RP模型计算基本再生数( ),以衡量COVID-19的传播能力。 的值是从储库到人类以及从个体到个体进行估计的,也就是说,这是指一个受感染个体将疾病传播给其他易感人群所引发的次要疾病的预期数量。当前模型表明,COVID-19在中东国家的传播情况优于中东呼吸综合征,类似于严重急性呼吸窘迫综合征,但在韩国境内的传播情况比中东呼吸综合征要差。该研究还可扩展到其他一些国家,包括沙特阿拉伯、意大利和德国等。COVID-19大流行已成为主要的社会关切问题。这场大流行表明,公共卫生问题不仅是一个医学问题,还会影响整个社会;因此,它也已成为主要的科学关切问题。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/c1f6ea95b1e1/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/03868012b087/gr1.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/c1f6ea95b1e1/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/03868012b087/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/da66c6092314/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/496e77194221/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/a2e14600a1a1/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9961/7352073/c1f6ea95b1e1/gr5.jpg

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