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A new study of unreported cases of 2019-nCOV epidemic outbreaks

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TLDR
The epidemic prophecy for the novel coronavirus (2019-nCOV) epidemic in Wuhan, China is studied by using q-homotopy analysis transform method (q-HATM) and the results show that the used scheme is highly emphatic and easy to implementation for the system of nonlinear equations.
Abstract
2019-nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2 and most decisive global health calamity of the century. In this manuscript, we study the epidemic prophecy for the novel coronavirus (2019-nCOV) epidemic in Wuhan, China by using q-homotopy analysis transform method (q-HATM). We considered the reported case data to parameterise the model and to identify the number of unreported cases. A new analysis with the proposed epidemic 2019-nCOV model for unreported cases is effectuated. For the considered system exemplifying the model of coronavirus, the series solution is established within the frame of the Caputo derivative. The developed results are explained using figures which show the behaviour of the projected model. The results show that the used scheme is highly emphatic and easy to implementation for the system of nonlinear equations. Further, the present study can confirm the applicability and effect of fractional operators to real-world problems.

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Citations
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Journal ArticleDOI

New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

TL;DR: The obtained results show the effectiveness of the theoretical method considered for the governing system, and present much light on the dynamic behavior of the Bats-Hosts-Reservoir-People transmission network coronavirus model.
Journal ArticleDOI

Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives

TL;DR: The present study can confirm the applicability of the new generalized Caputo type fractional operator to mathematical epidemiology or real-world problems.
Journal ArticleDOI

Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives.

TL;DR: In this work, a new compartmental mathematical model of COVID-19 pandemic has been proposed incorporating imperfect quarantine and disrespectful behavior of the citizens towards lockdown policies, which are evident in most of the developing countries.
References
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Book

Theory and Applications of Fractional Differential Equations

TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Book

An Introduction to the Fractional Calculus and Fractional Differential Equations

TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
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