tetano
Editor, Senior Moderator
Results Phys
. 2020 Dec;19:103507.
doi: 10.1016/j.rinp.2020.103507. Epub 2020 Oct 12.
Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative
Sabri T M Thabet[SUP] 1 [/SUP], Mohammed S Abdo[SUP] 2 [/SUP], Kamal Shah[SUP] 3 [/SUP], Thabet Abdeljawad[SUP] 4 5 6 [/SUP]
Affiliations
Abstract
The current research work is devoted to address some results related to the existence and stability as well as numerical finding of a novel Coronavirus disease (COVID-19) by using a mathematical model. By using fixed point results we establish existence results for the proposed model under Atangana-Baleanu-Caputo (ABC) derivative with fractional order. Further, using the famous numerical technique due to Adams Bashforth, we simulate the concerned results for two famous cities of China known as Wuhan and Huanggang which are interconnected cities. The graphical presentations are given to observe the transmission dynamics from February 1 a=2020 to April 20, 2020 through various fractional order. The concerned dynamics is global in nature due to the various values of fractional order.
Keywords: 26A33; 34A08; 97M70; ABC derivative; Adams Bashforth method; COVID-19; Fixed point theorem.
. 2020 Dec;19:103507.
doi: 10.1016/j.rinp.2020.103507. Epub 2020 Oct 12.
Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative
Sabri T M Thabet[SUP] 1 [/SUP], Mohammed S Abdo[SUP] 2 [/SUP], Kamal Shah[SUP] 3 [/SUP], Thabet Abdeljawad[SUP] 4 5 6 [/SUP]
Affiliations
- PMID: 33072498
- PMCID: PMC7550174
- DOI: 10.1016/j.rinp.2020.103507
Abstract
The current research work is devoted to address some results related to the existence and stability as well as numerical finding of a novel Coronavirus disease (COVID-19) by using a mathematical model. By using fixed point results we establish existence results for the proposed model under Atangana-Baleanu-Caputo (ABC) derivative with fractional order. Further, using the famous numerical technique due to Adams Bashforth, we simulate the concerned results for two famous cities of China known as Wuhan and Huanggang which are interconnected cities. The graphical presentations are given to observe the transmission dynamics from February 1 a=2020 to April 20, 2020 through various fractional order. The concerned dynamics is global in nature due to the various values of fractional order.
Keywords: 26A33; 34A08; 97M70; ABC derivative; Adams Bashforth method; COVID-19; Fixed point theorem.