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

Basit Öğe Kaydı
dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorRehman, Muhammad Aziz ur
dc.contributor.authorKazim, Muhammad
dc.contributor.authorAhmed, Nauman
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorInc, Mustafa
dc.date.accessioned2024-12-24T19:25:13Z
dc.date.available2024-12-24T19:25:13Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis work attempts to study the numerical solution of nonlinear delayed Immunized Susceptible Latent Infected and Recovered (MSLIR) epidemic model of HBV disease. Reproduc-tion 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 con-tinuous MSLIR epidemic model like positivity and stability of equilibrium, while well-known for-ward 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.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [R.G.P. 2/29/43]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this project under grant number (R.G.P. 2/29/43) .
dc.identifier.doi10.1016/j.aej.2022.09.013
dc.identifier.endpage515
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85138108655
dc.identifier.scopusqualityQ1
dc.identifier.startpage505
dc.identifier.urihttps://doi.org/10.1016/j.aej.2022.09.013
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6323
dc.identifier.volume64
dc.identifier.wosWOS:000921476600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHepatitis B virus (HBV)
dc.subjectTime delay
dc.subjectEquilibrium points
dc.subjectBasic reproductive number
dc.subjectGlobal stability
dc.subjectNonstandard finite difference method
dc.subjectConvergence analysis
dc.titlePositivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu