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

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 propos...

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Published inResults in physics Vol. 20; p. 103722
Main Authors Singh, Harendra, Srivastava, H.M., Hammouch, Zakia, Sooppy Nisar, Kottakkaran
Format Journal Article
LanguageEnglish
Published Netherlands Elsevier B.V 01.01.2021
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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.
AbstractList 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.
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.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.
ArticleNumber 103722
Author Hammouch, Zakia
Sooppy Nisar, Kottakkaran
Singh, Harendra
Srivastava, H.M.
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  givenname: H.M.
  surname: Srivastava
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  givenname: Zakia
  surname: Hammouch
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  givenname: Kottakkaran
  surname: Sooppy Nisar
  fullname: Sooppy Nisar, Kottakkaran
  email: n.sooppy@psau.edu.sa
  organization: Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, 11991 Wadi Aldawasir, Saudi Arabia
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Keywords Fractional derivatives
Stability analysis
Corona virus model
Language English
License This is an open access article under the CC BY-NC-ND license.
2020 The Author(s).
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Snippet 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...
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SubjectTerms Corona virus model
Fractional derivatives
Stability analysis
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Title Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
URI https://dx.doi.org/10.1016/j.rinp.2020.103722
https://www.ncbi.nlm.nih.gov/pubmed/33520625
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