On exact integrability of a Covid-19 model: SIRV

Navid Amiri Babaei; Teoman Özer

doi:10.1002/mma.8874

On exact integrability of a Covid-19 model: SIRV

Navid Amiri Babaei
, Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

11 Atıf (Scopus)

Özet

In this study, the integrability conditions and the exact analytical solutions of the initial-value problem defined for the prominent SIRV model used for the pandemic Covid-19 are investigated by using the partial Hamiltonian approach based on the theory of Lie groups. Two different cases are considered with respect to the model parameters. In addition, the integrability properties and the associated approximate and exact analytical solutions to the SIRV model are analyzed and investigated by considering two different phase spaces. Furthermore, the graphical representations of susceptible, infected, recovered, and vaccinated population fractions evolving with time for subcases are introduced and discussed.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	3529-3546
Sayfa sayısı	18
Dergi	Mathematical Methods in the Applied Sciences
Hacim	47
Basın numarası	5
DOI'lar	https://doi.org/10.1002/mma.8874
Yayın durumu	Yayınlandı - 30 Mar 2024

Bibliyografik not

Publisher Copyright:
© 2022 John Wiley & Sons, Ltd.

Finansman

This work was supported by the Research Fund of the Istanbul Technical University, Project Number: MDK‐2021‐42911 for the PhD Thesis of Navid Amiri Babaei.

Finansörler	Finansör numarası
Istanbul Teknik Üniversitesi	MDK‐2021‐42911

BM SKH

Bu sonuç, aşağıdaki Sürdürülebilir Kalkınma Hedefine/Hedeflerine katkıda bulunur

SKH 3 Sağlık ve Kaliteli Yaşam

Belgeye Erişim

10.1002/mma.8874

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{732c3179f11a4a2a9861ff40e0581dc8,

title = "On exact integrability of a Covid-19 model: SIRV",

abstract = "In this study, the integrability conditions and the exact analytical solutions of the initial-value problem defined for the prominent SIRV model used for the pandemic Covid-19 are investigated by using the partial Hamiltonian approach based on the theory of Lie groups. Two different cases are considered with respect to the model parameters. In addition, the integrability properties and the associated approximate and exact analytical solutions to the SIRV model are analyzed and investigated by considering two different phase spaces. Furthermore, the graphical representations of susceptible, infected, recovered, and vaccinated population fractions evolving with time for subcases are introduced and discussed.",

keywords = "Lie groups, SIRV-model, artificial Hamiltonian, exact analytical solutions and Covid-19",

author = "\{Amiri Babaei\}, Navid and Teoman {\"O}zer",

note = "Publisher Copyright: {\textcopyright} 2022 John Wiley \& Sons, Ltd.",

year = "2024",

month = mar,

day = "30",

doi = "10.1002/mma.8874",

language = "English",

volume = "47",

pages = "3529--3546",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

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}

TY - JOUR

T1 - On exact integrability of a Covid-19 model

T2 - SIRV

AU - Amiri Babaei, Navid

AU - Özer, Teoman

PY - 2024/3/30

Y1 - 2024/3/30

N2 - In this study, the integrability conditions and the exact analytical solutions of the initial-value problem defined for the prominent SIRV model used for the pandemic Covid-19 are investigated by using the partial Hamiltonian approach based on the theory of Lie groups. Two different cases are considered with respect to the model parameters. In addition, the integrability properties and the associated approximate and exact analytical solutions to the SIRV model are analyzed and investigated by considering two different phase spaces. Furthermore, the graphical representations of susceptible, infected, recovered, and vaccinated population fractions evolving with time for subcases are introduced and discussed.

AB - In this study, the integrability conditions and the exact analytical solutions of the initial-value problem defined for the prominent SIRV model used for the pandemic Covid-19 are investigated by using the partial Hamiltonian approach based on the theory of Lie groups. Two different cases are considered with respect to the model parameters. In addition, the integrability properties and the associated approximate and exact analytical solutions to the SIRV model are analyzed and investigated by considering two different phase spaces. Furthermore, the graphical representations of susceptible, infected, recovered, and vaccinated population fractions evolving with time for subcases are introduced and discussed.

KW - Lie groups

KW - SIRV-model

KW - artificial Hamiltonian

KW - exact analytical solutions and Covid-19

UR - https://www.scopus.com/pages/publications/85142452483

U2 - 10.1002/mma.8874

DO - 10.1002/mma.8874

M3 - Article

AN - SCOPUS:85142452483

SN - 0170-4214

VL - 47

SP - 3529

EP - 3546

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

On exact integrability of a Covid-19 model: SIRV

Özet

Bibliyografik not

Finansman

BM SKH

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap