小狗阅读会员会员
有解析的医学SCI阅读工具

扫码登录小狗阅读

阅读SCI医学文献

Qualitative Analysis of a Mathematical Model in the Time of COVID-19.

新型冠状病毒肺炎时期的数学模型的定性分析.

  • 影响因子:2.41
  • DOI:10.1155/2020/5098598
  • 作者列表:"Shah K","Abdeljawad T","Mahariq I","Jarad F
  • 发表时间:2020-05-25
Abstract

:In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered. The concerned model is composed of two compartments, namely, healthy and infected. Under the new nonsingular derivative, we, first of all, establish some sufficient conditions for existence and uniqueness of solution to the model under consideration. Because of the dynamics of the phenomenon when described by a mathematical model, its existence must be guaranteed. Therefore, via using the classical fixed point theory, we establish the required results. Also, we present the results of stability of Ulam's type by using the tools of nonlinear analysis. For the semianalytical results, we extend the usual Laplace transform coupled with Adomian decomposition method to obtain the approximate solutions for the corresponding compartments of the considered model. Finally, in order to support our study, graphical interpretations are provided to illustrate the results by using some numerical values for the corresponding parameters of the model.

摘要

本文在分数阶非奇异导数下,对新型冠状病毒新型冠状病毒肺炎的数学模型进行了定性分析。所关注的模型由两个隔间组成,即健康和感染。在新的非奇异导数下,我们首先建立了所考虑模型解存在唯一性的一些充分条件。因为当用数学模型描述时,现象的动态性,必须保证它的存在。因此,通过使用经典不动点理论,我们建立了所需的结果。此外,我们还利用非线性分析工具给出了Ulam型稳定性的结果。对于半解析结果,我们推广了通常的拉普拉斯变换与Adomian分解方法相结合,得到了所考虑模型相应分区的近似解。最后,为了支持我们的研究,提供了图形解释,通过使用模型相应参数的一些数值来说明结果。

关键词:
阅读人数:2人
下载该文献
小狗阅读

帮助医生、学生、科研工作者解决SCI文献找不到、看不懂、阅读效率低的问题。提供领域精准的SCI文献,通过多角度解析提高文献阅读效率,从而使用户获得有价值研究思路。

相关文献
影响因子:1.60
发表时间:2020-02-17
DOI:10.3346/jkms.2020.35.e79
作者列表:["Lim J","Jeon S","Shin HY","Kim MJ","Seong YM","Lee WJ","Choe KW","Kang YM","Lee B","Park SJ"]

METHODS::Since mid-December of 2019, coronavirus disease 2019 (COVID-19) infection has been spreading from Wuhan, China. The confirmed COVID-19 patients in South Korea are those who came from or visited China. As secondary transmissions have occurred and the speed of transmission is accelerating, there are rising concerns about community infections. The 54-year old male is the third patient diagnosed with COVID-19 infection in Korea. He is a worker for a clothing business and had mild respiratory symptoms and intermittent fever in the beginning of hospitalization, and pneumonia symptoms on chest computerized tomography scan on day 6 of admission. This patient caused one case of secondary transmission and three cases of tertiary transmission. Hereby, we report the clinical findings of the index patient who was the first to cause tertiary transmission outside China. Interestingly, after lopinavir/ritonavir (Kaletra, AbbVie) was administered, β-coronavirus viral loads significantly decreased and no or little coronavirus titers were observed.

影响因子:4.36
发表时间:2020-02-17
DOI:10.1080/22221751.2020.1729071
作者列表:["Zhang W","Du RH","Li B","Zheng XS","Yang XL","Hu B","Wang YY","Xiao GF","Yan B","Shi ZL","Zhou P"]

METHODS::In December 2019, a novel coronavirus (2019-nCoV) caused an outbreak in Wuhan, China, and soon spread to other parts of the world. It was believed that 2019-nCoV was transmitted through respiratory tract and then induced pneumonia, thus molecular diagnosis based on oral swabs was used for confirmation of this disease. Likewise, patient will be released upon two times of negative detection from oral swabs. However, many coronaviruses can also be transmitted through oral-fecal route by infecting intestines. Whether 2019-nCoV infected patients also carry virus in other organs like intestine need to be tested. We conducted investigation on patients in a local hospital who were infected with this virus. We found the presence of 2019-nCoV in anal swabs and blood as well, and more anal swab positives than oral swab positives in a later stage of infection, suggesting shedding and thereby transmitted through oral-fecal route. We also showed serology test can improve detection positive rate thus should be used in future epidemiology. Our report provides a cautionary warning that 2019-nCoV may be shed through multiple routes.

翻译标题与摘要 下载文献
影响因子:2.48
发表时间:2020-04-01
来源期刊:Infection
DOI:10.1007/s15010-020-01401-y
作者列表:["Cheng ZJ","Shan J"]

METHODS::There is a current worldwide outbreak of a new type of coronavirus (2019-nCoV), which originated from Wuhan in China and has now spread to 17 other countries. Governments are under increased pressure to stop the outbreak spiraling into a global health emergency. At this stage, preparedness, transparency, and sharing of information are crucial to risk assessments and beginning outbreak control activities. This information should include reports from outbreak sites and from laboratories supporting the investigation. This paper aggregates and consolidates the virology, epidemiology, clinical management strategies from both English and Chinese literature, official news channels, and other official government documents. In addition, by fitting the number of infections with a single-term exponential model, we report that the infection is spreading at an exponential rate, with a doubling period of 1.8 days.

呼吸道感染方向

呼吸道感染分为上呼吸道感染与下呼吸道感染。上呼吸道感染是指自鼻腔至喉部之间的急性炎症的总称,是最常见的感染性疾病。下呼吸道感染是最常见的感染性疾患,治疗时必须明确引起感染的病原体以选择有效的抗生素。

复制标题
发送后即可在该邮箱或我的下载查看该文献
发送
该文献默认存储到我的下载

科研福利

报名咨询

建议反馈
问题标题:
联系方式:
电子邮件:
您的需求: