Open AccessStudy of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative
Author(s) -
Sabri T. M. Thabet,
Mohammed S. Abdo,
Kamal Shah,
Thabet Abdeljawad
Publication year - 2020
Publication title -
results in physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.743
H-Index - 56
ISSN - 2211-3797
DOI - 10.1016/j.rinp.2020.103507
Subject(s) - fractional calculus , covid-19 , order (exchange) , stability (learning theory) , mathematics , transmission (telecommunications) , derivative (finance) , dynamics (music) , work (physics) , statistical physics , calculus (dental) , computer science , physics , thermodynamics , disease , telecommunications , economics , medicine , finance , pathology , machine learning , acoustics , infectious disease (medical specialty) , financial economics , dentistry
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.
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