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Fractional Mathematical Model of Covid-19 with Quarantine

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Název: Fractional Mathematical Model of Covid-19 with Quarantine
Autoři: Nisardi, Muhammad Rifki, Kasbawati, Kasbawati, Khaeruddin, Khaeruddin, Robinet, Antonin, Chetehouna, Khaled
Zdroj: InPrime: Indonesian Journal of Pure and Applied Mathematics; Vol 4, No 1 (2022); 33-48 ; 2716-2478 ; 2686-5335
Informace o vydavateli: Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah
Rok vydání: 2022
Témata: Mathematics, Applied Mathematics, SIR-Q Model, COVID-19, Basic Reproduction Number, Fractional Mathematical Model, Grunwald Letnikov Method, demo, eco
Popis: This study aims to observe the dynamics of the spread of COVID-19 with the SIR-Model by considering the quarantine (Q) scheme. We also involve a fractional order in the model. Then the basic reproduction numbers were calculated using the generation matrix method, analyzed the local stability of the fractional model for each equilibrium point, and observed its relation to the basic reproduction numbers. We perform the sensitivity analysis to see the effect of parameters on changes in the basic reproduction numbers. We applied the Grunwald-Letnikov method for numerical simulations. Estimation for parameters was also carried out on the existing parameters in the model to obtain parameter values that could represent the actual conditions. Furthermore, with a fractional model, we approximated the model to the data of COVID-19 in West Sulawesi, Indonesia, so that we could obtain a fractional order since it could describe the data more accurately.Keywords: SIR-Q Model; COVID-19; basic reproduction number; Fractional Mathematical Model; Grunwald Letnikov Method. AbstrakPenelitian ini bertujuan untuk mengkaji dinamika penyebaran COVID-19 dengan model matematika orde fraksional penyebaran penyakit SIR-Q dengan mempertimbangkan skema karantina (Q) untuk mengendalikan penyebaran COVID-19. Bilangan reproduksi dasar dihitung menggunakan metode matriks generasi. Kemudian, dianalisa kestabilan lokal model fraksional untuk titik kesetimbangan dan lalu dianalisa kaitannya dengan bilangan reproduksi dasar. Analisis sensitivitas dilakukan untuk mengamati pengaruh parameter terhadap perubahan bilangan reproduksi dasar. Simulasi numerik dilakukan dengan menggunakan metode eksplisit Grunwald-Letnikov. Estimasi juga dilakukan terhadap parameter yang ada pada model untuk memperoleh nilai parameter yang merepresentasikan kondisi aktual penyebaran COVID-19 di Sulawesi Barat. Selanjutnya dengan model fraksional dilakukan pendekatan terhadap data kasus aktif COVID-19 di Sulawesi Barat sehingga diperoleh orde fraksional tertentu yang .
Druh dokumentu: article in journal/newspaper
Jazyk: English
Relation: https://journal.uinjkt.ac.id/index.php/inprime/article/view/23719
Dostupnost: https://journal.uinjkt.ac.id/index.php/inprime/article/view/23719
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Přístupové číslo: edsbas.EAC32191
Databáze: BASE
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Fractional Mathematical Model of Covid-19 with Quarantine
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Nisardi%2C+Muhammad+Rifki%22">Nisardi, Muhammad Rifki</searchLink><br /><searchLink fieldCode="AR" term="%22Kasbawati%2C+Kasbawati%22">Kasbawati, Kasbawati</searchLink><br /><searchLink fieldCode="AR" term="%22Khaeruddin%2C+Khaeruddin%22">Khaeruddin, Khaeruddin</searchLink><br /><searchLink fieldCode="AR" term="%22Robinet%2C+Antonin%22">Robinet, Antonin</searchLink><br /><searchLink fieldCode="AR" term="%22Chetehouna%2C+Khaled%22">Chetehouna, Khaled</searchLink>
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  Label: Source
  Group: Src
  Data: InPrime: Indonesian Journal of Pure and Applied Mathematics; Vol 4, No 1 (2022); 33-48 ; 2716-2478 ; 2686-5335
– Name: Publisher
  Label: Publisher Information
  Group: PubInfo
  Data: Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2022
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+Mathematics%22">Applied Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22SIR-Q+Model%22">SIR-Q Model</searchLink><br /><searchLink fieldCode="DE" term="%22COVID-19%22">COVID-19</searchLink><br /><searchLink fieldCode="DE" term="%22Basic+Reproduction+Number%22">Basic Reproduction Number</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+Mathematical+Model%22">Fractional Mathematical Model</searchLink><br /><searchLink fieldCode="DE" term="%22Grunwald+Letnikov+Method%22">Grunwald Letnikov Method</searchLink><br /><searchLink fieldCode="DE" term="%22demo%22">demo</searchLink><br /><searchLink fieldCode="DE" term="%22eco%22">eco</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This study aims to observe the dynamics of the spread of COVID-19 with the SIR-Model by considering the quarantine (Q) scheme. We also involve a fractional order in the model. Then the basic reproduction numbers were calculated using the generation matrix method, analyzed the local stability of the fractional model for each equilibrium point, and observed its relation to the basic reproduction numbers. We perform the sensitivity analysis to see the effect of parameters on changes in the basic reproduction numbers. We applied the Grunwald-Letnikov method for numerical simulations. Estimation for parameters was also carried out on the existing parameters in the model to obtain parameter values that could represent the actual conditions. Furthermore, with a fractional model, we approximated the model to the data of COVID-19 in West Sulawesi, Indonesia, so that we could obtain a fractional order since it could describe the data more accurately.Keywords: SIR-Q Model; COVID-19; basic reproduction number; Fractional Mathematical Model; Grunwald Letnikov Method. AbstrakPenelitian ini bertujuan untuk mengkaji dinamika penyebaran COVID-19 dengan model matematika orde fraksional penyebaran penyakit SIR-Q dengan mempertimbangkan skema karantina (Q) untuk mengendalikan penyebaran COVID-19. Bilangan reproduksi dasar dihitung menggunakan metode matriks generasi. Kemudian, dianalisa kestabilan lokal model fraksional untuk titik kesetimbangan dan lalu dianalisa kaitannya dengan bilangan reproduksi dasar. Analisis sensitivitas dilakukan untuk mengamati pengaruh parameter terhadap perubahan bilangan reproduksi dasar. Simulasi numerik dilakukan dengan menggunakan metode eksplisit Grunwald-Letnikov. Estimasi juga dilakukan terhadap parameter yang ada pada model untuk memperoleh nilai parameter yang merepresentasikan kondisi aktual penyebaran COVID-19 di Sulawesi Barat. Selanjutnya dengan model fraksional dilakukan pendekatan terhadap data kasus aktif COVID-19 di Sulawesi Barat sehingga diperoleh orde fraksional tertentu yang .
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  Data: https://journal.uinjkt.ac.id/index.php/inprime/article/view/23719
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  Data: https://journal.uinjkt.ac.id/index.php/inprime/article/view/23719
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  Data: edsbas.EAC32191
PLink https://erproxy.cvtisr.sk/sfx/access?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.EAC32191
RecordInfo BibRecord:
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    Languages:
      – Text: English
    Subjects:
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Applied Mathematics
        Type: general
      – SubjectFull: SIR-Q Model
        Type: general
      – SubjectFull: COVID-19
        Type: general
      – SubjectFull: Basic Reproduction Number
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      – SubjectFull: Fractional Mathematical Model
        Type: general
      – SubjectFull: Grunwald Letnikov Method
        Type: general
      – SubjectFull: demo
        Type: general
      – SubjectFull: eco
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      – TitleFull: Fractional Mathematical Model of Covid-19 with Quarantine
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            – TitleFull: InPrime: Indonesian Journal of Pure and Applied Mathematics; Vol 4, No 1 (2022); 33-48
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