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  1. Article: Fractional order mathematical modeling of novel corona virus (COVID-19).

    Ahmad, Wasim / Sarwar, Muhammad / Shah, Kamal / Ahmadian, Ali / Salahshour, Soheil

    Mathematical methods in the applied sciences

    2021  

    Abstract: 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 proposed model is presented. Furthermore, the fractional-order Taylor's ...

    Abstract 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 proposed model is presented. Furthermore, the fractional-order Taylor's method is used for the approximation of the solution of the concerned problem. Finally, we simulate the results for 50 days with the help of some available data for fractional differential order to display the excellency of the proposed model.
    Language English
    Publishing date 2021-02-03
    Publishing country Germany
    Document type Journal Article
    ZDB-ID 1478610-2
    ISSN 1099-1476 ; 0170-4214
    ISSN (online) 1099-1476
    ISSN 0170-4214
    DOI 10.1002/mma.7241
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article: A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China.

    Yadav, Ram Prasad / Renu Verma

    Chaos, solitons, and fractals

    2020  Volume 140, Page(s) 110124

    Abstract: ... for the transmission of CORONA VIRUS (COVID-19) in Wuhan China. The existence and uniqueness solutions ... population and concentration of the virus of COVID-19 in the surrounding environment with respect to time ... The novel Covid-19 was identified in Wuhan China in December, 2019 and has created medical ...

    Abstract The novel Covid-19 was identified in Wuhan China in December, 2019 and has created medical emergency world wise and distorted many life in the couple of month, it is being burned challenging situation for the medical scientist and virologists. Fractional order derivative based modeling is quite important to understand the real world problems and to analyse realistic situation of the proposed model. In the present investigation a fractional model based on Caputo-Fabrizio fractional derivative has been developed for the transmission of CORONA VIRUS (COVID-19) in Wuhan China. The existence and uniqueness solutions of the fractional order derivative has been investigated with the help of fixed point theory. Adamas- Bashforth numerical scheme has been used in the numerical simulation of the Caputo-Fabrizio fractional order derivative. The analysis of susceptible population, exposed population, infected population, recovered population and concentration of the virus of COVID-19 in the surrounding environment with respect to time for different values of fractional order derivative has been shown by means of graph. The comparative analysis has also been performed from classical model and fractional model along with the certified experimental data.
    Keywords covid19
    Language English
    Publishing date 2020-07-16
    Publishing country England
    Document type Journal Article
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2020.110124
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China

    Yadav, Ram Prasad / Verma, Renu

    Chaos Solitons Fractals

    Abstract: ... for the transmission of CORONA VIRUS (COVID-19) in Wuhan China. The existence and uniqueness solutions ... population and concentration of the virus of COVID-19 in the surrounding environment with respect to time ... The novel Covid-19 was identified in Wuhan China in December, 2019 and has created medical ...

    Abstract The novel Covid-19 was identified in Wuhan China in December, 2019 and has created medical emergency world wise and distorted many life in the couple of month, it is being burned challenging situation for the medical scientist and virologists. Fractional order derivative based modeling is quite important to understand the real world problems and to analyse realistic situation of the proposed model. In the present investigation a fractional model based on Caputo-Fabrizio fractional derivative has been developed for the transmission of CORONA VIRUS (COVID-19) in Wuhan China. The existence and uniqueness solutions of the fractional order derivative has been investigated with the help of fixed point theory. Adamas- Bashforth numerical scheme has been used in the numerical simulation of the Caputo-Fabrizio fractional order derivative. The analysis of susceptible population, exposed population, infected population, recovered population and concentration of the virus of COVID-19 in the surrounding environment with respect to time for different values of fractional order derivative has been shown by means of graph. The comparative analysis has also been performed from classical model and fractional model along with the certified experimental data.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #653339
    Database COVID19

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