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Article ; Online: Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data.

Nisar, Kottakkaran Sooppy / Ahmad, Shabir / Ullah, Aman / Shah, Kamal / Alrabaiah, Hussam / Arfan, Muhammad

Results in physics

2020  Volume 21, Page(s) 103772

Abstract: We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the sense ... real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city. ... in plots to show the COVID-19 transmission dynamics. Further, we compare our results with some reported ...

Abstract We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the sense of Caputo in this article. We compute the basic reproduction number through the next-generation matrix. We derive the stability results based on the basic reproduction number. We prove the results of the solution existence and uniqueness via fixed point theory. We utilize the fractional Adams-Bashforth method for obtaining the approximate solution of the proposed model. We illustrate the obtained numerical results in plots to show the COVID-19 transmission dynamics. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.
Language English
Publishing date 2020-12-29
Publishing country Netherlands
Document type Journal Article
ZDB-ID 2631798-9
ISSN 2211-3797 ; 2211-3797
ISSN (online) 2211-3797
ISSN 2211-3797
DOI 10.1016/j.rinp.2020.103772
Database MEDical Literature Analysis and Retrieval System OnLINE

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