ANALYZING A NOVEL CORONAVIRUS MODEL (COVID-19) IN THE SENSE OF CAPUTO-FABRIZIO FRACTIONAL OPERATOR
Applied and Computational Mathematics
; 20(1):49-69, 2021.
Article
in English
| Web of Science | ID: covidwho-1220284
ABSTRACT
In this paper, a new model has been proposed to analyze the infection due to the coronavirus (COVID-19). The model emphasizes the importance of environmental reservoir in spreading the infection and infecting others. It also keeps control measures regarding infection at the highest level by using non-constant transmission rates in the model. The analysis of the coronavirus model has been done via Caputo-Fabrizio fractional derivative operator. The existence of solutions of the model has been examined by using a fixed-point approach and the uniqueness of the solution has also been obtained. Further, the stability analysis of the model has been performed in the sense of Hyers-Ulam stability. Finally, the numerical solution has been obtained by using the Adam-Basford numerical approach, and also simulations for different fractional derivative values have been carried out. As a result, the mathematical modeling of the new type of coronavirus (COVID-19) has been applied to fractional-order derivatives and integral operators and its simulations with the real data have been shown.
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Collection:
Databases of international organizations
Database:
Web of Science
Language:
English
Journal:
Applied and Computational Mathematics
Year:
2021
Document Type:
Article
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