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Introduction to Compartmental Models in Epidemiology Read chapter Read first chapter

2021 | OriginalPaper | Chapter

12. Analysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo–Fabrizio Operator and Impact of Vaccination

Authors : A. George Maria Selvam, R. Janagaraj, R. Dhineshbabu

Published in: Mathematical Analysis for Transmission of COVID-19

Publisher: Springer Singapore

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Abstract

Within a very short period, the corona infection virus (COVID-19) has created a global emergency situation by spreading worldwide. This virus has dissimilar effects in different geographical regions. In the beginning of the spread, the number of new cases of active corona virus has shown exponential growth across the globe. At present, for such infection, there is no vaccination or anti-viral medicine specific to the recent corona virus infection. Mathematical formulation of infection models is exceptionally successful to comprehend epidemiological models of ailments, just as it causes us to take vital proportions of general wellbeing interruptions to control the disease transmission and the spread. This work based on a new mathematical model analyses the dynamic behaviour of novel corona virus (COVID-19) using Caputo–Fabrizio fractional derivative. A new modified SEIRQ compartment model is developed to discuss various dynamics. The COVID-19 transmission is studied by varying reproduction number. The basic number of reproduction \(R_{0}\) is determined by applying the next generation matrix. The equilibrium points for disease-free and endemic states are computed with the help of basic reproduction number \(R_{0}\) to check the stability property. The Picard approximation and Banach’s fixed point theorem based on iterative Laplace transform are useful in establishing the existence and stability behaviour of the fractional-order system. Finally, numerical computations of the COVID-19 fractional-order system are presented to analyse the dynamical behaviour of the solutions of the model. Also, a fractional-order SEIRQ COVID-19 model with vaccinated people has also been formulated and its dynamics with impact on the propagation behaviour is studied.

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previous chapter A Fractional-Order SEQAIR Model to Control the Transmission of nCOVID 19
next chapter Compartmental Modelling Approach for Accessing the Role of Non-Pharmaceutical Measures in the Spread of COVID-19
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Metadata
Title
Analysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo–Fabrizio Operator and Impact of Vaccination
Authors
A. George Maria Selvam
R. Janagaraj
R. Dhineshbabu
Copyright Year
2021
Publisher
Springer Singapore
Book
Mathematical Analysis for Transmission of COVID-19

Print ISBN: 978-981-336-263-5

Electronic ISBN: 978-981-336-264-2

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-33-6264-2_12

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