Fractional order mathematical modeling of novel corona virus (COVID-19) [0.03%]
新型冠状病毒(COVID-19)的分数阶数学建模
Wasim Ahmad,Muhammad Sarwar,Kamal Shah et al.
Wasim Ahmad et al.
In this manuscript, the mathematical model of COVID-19 is considered with eight different classes under the fractional-order derivative in Caputo sense. A couple of results regarding the existence and uniqueness of the solution for the prop...
A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives [0.03%]
印度新型冠状病毒肺炎疫情的新广义Caputo型分数阶微分方程模型及应用研究案例
Pushpendra Kumar,Vedat Suat Erturk
Pushpendra Kumar
The first symptomatic infected individuals of coronavirus (Covid-19) was confirmed in December 2020 in the city of Wuhan, China. In India, the first reported case of Covid-19 was confirmed on 30 January 2020. Today, coronavirus has been spr...
A dynamic model for the COVID-19 with direct and indirect transmission pathways [0.03%]
一个包括直接和间接传播途径的COVID-19动态模型
Reza Memarbashi,Seyed Mahdi Mahmoudi
Reza Memarbashi
Two common transmission pathways for the spread of COVID-19 virus are direct and indirect. The direct pathway refers to the person-to-person transmission between susceptibles and infectious individuals. Infected individuals shed virus on th...
A multiregional extension of the SIR model, with application to the COVID-19 spread in Italy [0.03%]
一个多区域的SIR模型扩展及其在意大利COVID-19传播中的应用
Luigi Brugnano,Felice Iavernaro,Paolo Zanzottera
Luigi Brugnano
The paper concerns a new forecast model that includes the class of undiagnosed infected people, and has a multiregion extension, to cope with the in-time and in-space heterogeneity of an epidemic. The model is applied to the SARS-CoV2 (COVI...
The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative [0.03%]
具有Caputo型分数阶导数的时滞分数阶COVID-19模型分析
Pushpendra Kumar,Vedat Suat Erturk
Pushpendra Kumar
Novel coronavirus (COVID-19), a global threat whose source is not correctly yet known, was firstly recognised in the city of Wuhan, China, in December 2019. Now, this disease has been spread out to many countries in all over the world. In t...
Nian Shao,Min Zhong,Yue Yan et al.
Nian Shao et al.
In this letter, two time delay dynamic models, a Time Delay Dynamical-Novel Coronavirus Pneumonia (TDD-NCP) model and Fudan-Chinese Center for Disease Control and Prevention (CCDC) model, are introduced to track the data of Coronavirus Dise...
Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains [0.03%]
差分校正估计及其在扩散方程非线性传输问题homogenization中的应用
Victor A Kovtunenko,Sina Reichelt,Anna V Zubkova
Victor A Kovtunenko
This paper is devoted to the homogenization of a nonlinear transmission problem stated in a two-phase domain. We consider a system of linear diffusion equations defined in a periodic domain consisting of two disjoint phases that are both co...
Inverse problems of combined photoacoustic and optical coherence tomography [0.03%]
联合式光声和光学相干层析成像的反问题研究进展
Peter Elbau,Leonidas Mindrinos,Otmar Scherzer
Peter Elbau
Optical coherence tomography (OCT) and photoacoustic tomography are emerging non-invasive biological and medical imaging techniques. It is a recent trend in experimental science to design experiments that perform photoacoustic tomography an...
Zhilin Li,Li Wang,Eric Aspinwall et al.
Zhilin Li et al.
Interface problems modeled by differential equations have many applications in mathematical biology, fluid mechanics, material sciences, and many other areas. Typically, interface problems are characterized by discontinuities in the coeffic...
Shan Zhao,G W Wei
Shan Zhao
We introduce a new discontinuous Galerkin approach for time integration. On the basis of the method of weighted residual, numerical quadratures are employed in the finite element time discretization to account for general nonlinear ordinary...