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Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor.

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Title: Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor.
Authors: Aziz ur Rehman, Muhammad1 (AUTHOR), Kazim, Muhammad1 (AUTHOR), Ahmed, Nauman2 (AUTHOR), Raza, Ali3 (AUTHOR), Rafiq, Muhammad4 (AUTHOR), Akgül, Ali5,6 (AUTHOR), Inc, Mustafa1,7,8 (AUTHOR) minc@firat.edu.tr, Park, Choonkil1,9 (AUTHOR) baak@hanyang.ac.kr, Zakarya, Mohammed10,11 (AUTHOR)
Source: Alexandria Engineering Journal. Feb2023, Vol. 64, p505-515. 11p.
Subjects: Hepatitis B, Finite differences, Optimism, Finite difference method
Abstract: This work attempts to study the numerical solution of nonlinear delayed Immunized Susceptible Latent Infected and Recovered (MSLIR) epidemic model of HBV disease. Reproduction number, equilibria and stability are discussed. Three different numerical techniques, Euler, RK-4 and the non-standard finite difference (NSFD) techniques are used for the numerical solution of the model. The proposed technique is independent of the size of the time step, while forward Euler and RK-4 depend on the size of a time step and retains all essential characteristics of the continuous MSLIR epidemic model like positivity and stability of equilibrium, while well-known forward Euler and RK-4 cannot sustain these characteristics. Therefore, the proposed (NSFD) technique becomes a more efficient and reliable numerical technique than the forward Euler and RK-4 scheme. Numerical simulations are presented for the validation of the obtained results. [ABSTRACT FROM AUTHOR]
Copyright of Alexandria Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 161600619
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Aziz+ur+Rehman%2C+Muhammad%22">Aziz ur Rehman, Muhammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kazim%2C+Muhammad%22">Kazim, Muhammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ahmed%2C+Nauman%22">Ahmed, Nauman</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Raza%2C+Ali%22">Raza, Ali</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Rafiq%2C+Muhammad%22">Rafiq, Muhammad</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Akgül%2C+Ali%22">Akgül, Ali</searchLink><relatesTo>5,6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Inc%2C+Mustafa%22">Inc, Mustafa</searchLink><relatesTo>1,7,8</relatesTo> (AUTHOR)<i> minc@firat.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Park%2C+Choonkil%22">Park, Choonkil</searchLink><relatesTo>1,9</relatesTo> (AUTHOR)<i> baak@hanyang.ac.kr</i><br /><searchLink fieldCode="AR" term="%22Zakarya%2C+Mohammed%22">Zakarya, Mohammed</searchLink><relatesTo>10,11</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Alexandria+Engineering+Journal%22">Alexandria Engineering Journal</searchLink>. Feb2023, Vol. 64, p505-515. 11p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Hepatitis+B%22">Hepatitis B</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+differences%22">Finite differences</searchLink><br /><searchLink fieldCode="DE" term="%22Optimism%22">Optimism</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This work attempts to study the numerical solution of nonlinear delayed Immunized Susceptible Latent Infected and Recovered (MSLIR) epidemic model of HBV disease. Reproduction number, equilibria and stability are discussed. Three different numerical techniques, Euler, RK-4 and the non-standard finite difference (NSFD) techniques are used for the numerical solution of the model. The proposed technique is independent of the size of the time step, while forward Euler and RK-4 depend on the size of a time step and retains all essential characteristics of the continuous MSLIR epidemic model like positivity and stability of equilibrium, while well-known forward Euler and RK-4 cannot sustain these characteristics. Therefore, the proposed (NSFD) technique becomes a more efficient and reliable numerical technique than the forward Euler and RK-4 scheme. Numerical simulations are presented for the validation of the obtained results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Alexandria Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.aej.2022.09.013
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 11
        StartPage: 505
    Subjects:
      – SubjectFull: Hepatitis B
        Type: general
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Optimism
        Type: general
      – SubjectFull: Finite difference method
        Type: general
    Titles:
      – TitleFull: Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor.
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            NameFull: Aziz ur Rehman, Muhammad
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            – D: 01
              M: 02
              Text: Feb2023
              Type: published
              Y: 2023
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              Value: 64
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            – TitleFull: Alexandria Engineering Journal
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