A Standardized Numerical Methodology and Analysis for the Time Delayed Fractional Epidemic Model of Infectious Illnesses Spread by Lumpy Skin

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dc.contributor.authorMudassar Rafique
dc.contributor.authorMuhammad Aziz Ur Rehamn
dc.contributor.authorMuhammad Rafiq
dc.contributor.authorZafar Iqbal
dc.contributor.authorNauman Ahmed
dc.contributor.authorAli Akgul
dc.date.accessioned2025-02-25T08:21:36Z
dc.date.available2025-02-25T08:21:36Z
dc.date.issued2025-06
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThis study aims to investigate the solution of fractional order delayed lumpy skin infection model with Caputo operator numerically as well as analytically. This delay factor helps to control and slow down the spread of infection in individuals. In this study, existence and uniqueness of the underlying model is discussed. Equilibria of the lumpy skin model are computed along with reproductive number (R0), if R0 > 1 refers spread of illness and if R0 < 1 means control of disease. Local and global stability of fraction delayed model is also presented. Moreover, positive and bounded solution of proposed model are investigated. For the numerical solution of this model, we use Grunwald Letnikov non-standard finite difference scheme. The key properties of the numerical scheme are also investigated like positivity and boundedness. Numerical example is given to present the graphical solution of the fractional order delay epidemic model.
dc.identifier.doi10.5890/jeam.2025.06.002
dc.identifier.issn2325-6192
dc.identifier.issn2325-6206
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85217808106
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.5890/jeam.2025.06.002
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8535
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherL and H Scientific Publishing, LLC
dc.relation.ispartofJournal of Environmental Accounting and Management
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional delay differential equation
dc.subjectGL non-standard finite difference schemes
dc.subjectLaSalle principal
dc.subjectLumpy skin disease
dc.subjectVoltera type Lyapunov function
dc.titleA Standardized Numerical Methodology and Analysis for the Time Delayed Fractional Epidemic Model of Infectious Illnesses Spread by Lumpy Skin
dc.typejournal-article
oaire.citation.issue2
oaire.citation.volume13

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