Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Pade-approximation

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dc.authoridSaeed, Muhammad/0000-0002-7284-6908
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorTabassum, Muhammad Farhan
dc.contributor.authorSaeed, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorFarman, Muhammad
dc.contributor.authorChaudhry, Nazir Ahmad
dc.date.accessioned2024-12-24T19:25:25Z
dc.date.available2024-12-24T19:25:25Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractHuman Immunodeficiency Virus (HIV) infection has become a significant infectious disease for both developed and developing countries that can contribute to the acquired immunodeficiency syndrome (AIDS). In this study a nonlinear mathematical model for the transmission of HIV/AIDS has been proposed and discussed in a populace of changing size with transfer of infection. The theorems and propositions have been constructed for well-posed-ness and bounded-ness of the model respectively. Evolutionary Pade-approximation (EPA) technique has been used for the treatment of this nonlinear mathematical model. Initial conditions are converted into constraints and constraints' problem is transformed into unconstrained by using penalty function. In the suggested EPA method, no step lengths have to be chosen, also converges to a steady state point is proved. The model for the transmission of HIV/AIDS also solved by using non-standard finite difference (NSFD) scheme and results were compared, simulations justify our outcomes more efficient and compact. Finally, a convergence and error analysis evidence that the convergence speed of EPA is superior that of the NSFD. (C) 2020 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2020.109686
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85080087343
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.109686
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6404
dc.identifier.volume134
dc.identifier.wosWOS:000527769700049
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectHIV/AIDS transmission model
dc.subjectPade-approximation
dc.subjectDifferential evolution
dc.subjectNon-standard finite difference
dc.subjectStability analysis
dc.subjectsensitivity analysis
dc.titleTreatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Pade-approximation
dc.typeArticle

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