Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

Harendra Singh; H. M. Srivastava; Zakia Hammouch; Kottakkaran Sooppy Nisar

doi:10.1016/j.rinp.2020.103722

Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

Harendra Singh
, H. M. Srivastava
, Zakia Hammouch
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

110 Scopus citations

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.

Original language	English
Article number	103722
Journal	Results in Physics
Volume	20
DOIs	https://doi.org/10.1016/j.rinp.2020.103722
State	Published - Jan 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Corona virus model
Fractional derivatives
Stability analysis

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10.1016/j.rinp.2020.103722

Cite this

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title = "Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19",

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.",

keywords = "Corona virus model, Fractional derivatives, Stability analysis",

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AU - Srivastava, H. M.

AU - Hammouch, Zakia

AU - Sooppy Nisar, Kottakkaran

PY - 2021/1

Y1 - 2021/1

N2 - 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.

AB - 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.

KW - Corona virus model

KW - Fractional derivatives

KW - Stability analysis

UR - https://www.scopus.com/pages/publications/85098973575

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DO - 10.1016/j.rinp.2020.103722

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VL - 20

JO - Results in Physics

JF - Results in Physics

M1 - 103722

ER -

Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

Abstract

UN SDGs

Keywords

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