A Hybrid System of Horizontal and Horizontal–Vertical Transmissions via the Concept of Piecewise Differential Equations

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dc.contributor.authorMaroua Amel Boubekeur
dc.contributor.authorSalah Boulaaras
dc.contributor.authorSeda Igret Araz
dc.date.accessioned2025-03-18T11:09:24Z
dc.date.available2025-03-18T11:09:24Z
dc.date.issued2025-03
dc.departmentFakülteler, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü
dc.description.abstractThis study examines the practical applications of piecewise differential equations, a powerful mathematical tool for modeling processes that occur over different time intervals, with a specific emphasis on horizontal-vertical models. This innovative approach seeks to offer a new insight into HIV infection models, focusing on both horizontal and vertical transmission routes when an infected newborn is introduced into a population. Alongside the global existence theory for piecewise models, we investigate the conditions under which solutions exist and are unique. We examine the scenarios where these new models involve fractional derivatives and analyze various patterns that emerge from their use. To facilitate this, we present the derivation of the parameterized method to solve piecewise differential equations for vertical and horizontal transmissions. Also, our study includes conducting numerical simulations to visually illustrate the different behaviors exhibited by these two models across various scenarios.
dc.identifier.citationBoubekeur, M. A., Boulaaras, S., & Araz, S. I. (2025). A Hybrid System of Horizontal and Horizontal–Vertical Transmissions via the Concept of Piecewise Differential Equations.
dc.identifier.doi10.1002/jnm.70032
dc.identifier.issn0894-3370
dc.identifier.issn1099-1204
dc.identifier.issue2
dc.identifier.urihttps://doi.org/10.1002/jnm.70032
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8567
dc.identifier.volume38
dc.identifier.wosWOS:001443937200001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.institutionauthorİgret Araz, Seda
dc.institutionauthorid0000-0002-7698-0709
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectexistence and uniqueness
dc.subjectfractional calculus
dc.subjectfractional derivatives
dc.subjectHIV transmission
dc.subjectparameterized method
dc.subjectpiecewise differential equation
dc.titleA Hybrid System of Horizontal and Horizontal–Vertical Transmissions via the Concept of Piecewise Differential Equations
dc.typejournal-article
oaire.citation.issue2
oaire.citation.volume38

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