Stability analysis of a fractional ordered COVID-19 model-Reference-Cited by-同舟云学术

Stability analysis of a fractional ordered COVID-19 model

Published:2021-01-01 Issue:1 Volume:9 Page:22-45
ISSN:2544-7297
Container-title:Computational and Mathematical Biophysics
language:en
Short-container-title:

Author:

Das Meghadri¹,Samanta Guruprasad²

Affiliation:

1. Department of Mathematics , Indian Institute of Engineering Science and Technology , Shibpur, Howrah-711103 , India

2. Department of Mathematics , Indian Institute of Engineering Science and Technology , Shibpur, Howrah-711103 , India , g_p_samanta@yahoo.co.uk

Abstract

Abstract The main purpose of this work is to study transmission dynamics of COVID-19 in Italy 2020, where the first case of Coronavirus disease 2019 (COVID-19) in Italy was reported on 31st January 2020. Taking into account the uncertainty due to the limited information about the Coronavirus (COVID-19), we have taken the modified Susceptible-Asymptomatic-Infectious-Recovered (SAIR) compartmental model under fractional order framework. We have formulated our model by subdividing infectious compartment into two sub compartments (reported and unreported) and introduced hospitalized class. In this work, we have studied the local and global stability of the system at different equilibrium points (disease free and endemic) and calculated sensitivity index for Italy scenario. The validity of the model is justified by comparing real data with the results obtained from simulations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Mathematical Physics,Molecular Biology,Biophysics

Link

https://www.degruyter.com/document/doi/10.1515/cmb-2020-0116/pdf

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