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Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19

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TLDR
In this article, an efficient computational method based on discretization of the domain and memory principle is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed.
Abstract
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.

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TL;DR: In this article, the dynamics of cholera disease using a mathematical model have been investigated, and the basic reproduction number, using the next generation matrix method, has been computed which informs us about disease spread or control among people.
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Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

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Efficient numerical simulations based on an explicit group approach for the time fractional advection–diffusion reaction equation

TL;DR: In this article , a modified fractional explicit group method (MFEGM) was proposed for solving the two-dimensional TFADRE with suitable initial and boundary conditions, and the proposed method is established using a difference scheme based on L 1 discretization in temporal direction and central difference approximations with double spacing in spatial direction.
References
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Proceedings Article

Stability results for fractional differential equations with applications to control processing

TL;DR: In this article, stability results for finite-dimensional linear fractional differential systems in state-space form are given for both internal and external stability, and the main qualitative result is that stabilities are guaranteed iff the roots of some polynomial lie outside the closed angular sector.
Journal ArticleDOI

Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

TL;DR: In this paper, the authors describe the mathematical modeling and dynamics of a novel corona virus (2019-nCoV) and present the mathematical results of the model and then formulate a fractional model.
Journal ArticleDOI

A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control

TL;DR: A Bats–Hosts–Reservoir–People transmission fractional-order COVID-19 model is analysed for simulating the potential transmission with the thought of individual response and control measures by the government and the effectiveness of preventive measures, predicting future outbreaks and potential control strategies of the disease are estimated.
Journal ArticleDOI

Fractional dynamical system and its linearization theorem

TL;DR: In this paper, the authors established the similar relationship between a fractional differential equation and the corresponding fractional flow under a reasonable condition and proved Audounet-Matignon-Montseny conjecture.
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Stability analysis and numerical solutions of fractional order HIV/AIDS model

TL;DR: In this paper, the authors studied the Fractional Order (FO) model of HIV/AIDS involving Liouville and Atangana-Baleanu-Caputo derivatives.
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