Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application

In this research, we provide a mathematical analysis for the novel coronavirus responsible for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order analysis is carried out using a non-singular kernel type operator known as the Atangana--Baleanu--Caputo (ABC) deri...

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Bibliographic Details
Published in:arXiv.org 2021-11
Main Authors: Din, Anwarud, Khan, Amir, Anwar Zeb, Moulay Rchid Sidi Ammi, Tilioua, Mouhcine, Torres, Delfim F M
Format: Article
Language:English
Subjects:
Coronaviruses
COVID-19
Laplace transforms
Parameter sensitivity
Sensitivity analysis
Viral diseases
Online Access:Get full text
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Summary:In this research, we provide a mathematical analysis for the novel coronavirus responsible for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order analysis is carried out using a non-singular kernel type operator known as the Atangana--Baleanu--Caputo (ABC) derivative. We parametrize the model adopting available information of the disease from Pakistan in the period 9th April to 2nd June 2020. We obtain the required solution with the help of a hybrid method, which is a combination of the decomposition method and the Laplace transform. Furthermore, a sensitivity analysis is carried out to evaluate the parameters that are more sensitive to the basic reproduction number of the model. Our results are compared with the real data of Pakistan and numerical plots are presented at various fractional orders.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.01031