A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel.
TLDR
In this paper, the authors investigated an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo-Fabrizio derivative by using the Picard-Lindelof theorem.Abstract:
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo–Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the Picard–Lindelof theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics.read more
Citations
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Time series forecasting of new cases and new deaths rate for COVID-19 using deep learning methods.
Nooshin Ayoobi,Danial Sharifrazi,Roohallah Alizadehsani,Afshin Shoeibi,Afshin Shoeibi,Juan Manuel Górriz,Hossein Moosaei,Abbas Khosravi,Saeid Nahavandi,Abdoulmohammad Gholamzadeh Chofreh,Feybi Ariani Goni,Jirí Jaromír Klemeš,Amir Mosavi,Amir Mosavi +13 more
TL;DR: In this article, the authors evaluated the performance of three deep learning methods and their bidirectional extensions to predict new cases and deaths rate one, three and seven-day ahead during the next 100 days.
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Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey
TL;DR: In this paper , a fractional order pandemic model was developed to examine the spread of COVID-19 and its relationship with diabetes, and the existence and uniqueness of solution were examined by using the fixed point theory.
Journal ArticleDOI
Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey
TL;DR: In this article, a fractional order pandemic model was developed to examine the spread of COVID-19 and its relationship with diabetes, and the existence and uniqueness of solution were examined by using the fixed point theory.
Journal ArticleDOI
A numerical study of fractional order population dynamics model
TL;DR: In this paper, the population dynamics model including the predator-prey problem and the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio derivative (CF-derivative).
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A mathematical model and numerical solution for brain tumor derived using fractional operator
TL;DR: In this paper, a mathematical model of brain tumor growth and diffusion is presented, which is an extension of a simple two-dimensional mathematical model derived from fractional operator in terms of Caputo which is called the fractional Burgess equations (FBEs).
References
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Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
TL;DR: In this article, the authors present a method for computing fractional derivatives of the Fractional Calculus using the Laplace Transform Method and the Fourier Transformer Transform of fractional Derivatives.
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New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana,Dumitru Baleanu +1 more
TL;DR: In this article, a new fractional derivative with non-local and no-singular kernel was proposed and applied to solve the fractional heat transfer model, and some useful properties of the new derivative were presented.
A new Definition of Fractional Derivative without Singular Kernel
Michele Caputo,Mauro Fabrizio +1 more
TL;DR: In this article, the authors present a new definition of fractional derivative with a smooth kernel, which takes on two different representations for the temporal and spatial variable, for which it is more convenient to work with the Fourier transform.
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Analysis and forecast of COVID-19 spreading in China, Italy and France
TL;DR: In this article, the authors analyzed the temporal dynamics of the coronavirus disease 2019 outbreak in China, Italy and France in the time window 22 / 01 − 15 / 03 / 2020.
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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.