A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and Newton Polynomials

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dc.contributor.authorHashem Najafi
dc.contributor.authorSina Etemad
dc.contributor.authorNichaphat Patanarapeelert
dc.contributor.authorJoshua Kiddy K. Asamoah
dc.contributor.authorShahram Rezapour
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceS. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 3751-71379, Iran; email: sh.rezapour@azaruniv.ac.ir; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn recent decades, AIDS has been one of the main challenges facing the medical community around the world. Due to the large human deaths of this disease, researchers have tried to study the dynamic behaviors of the infectious factor of this disease in the form of mathematical models in addition to clinical trials. In this paper, we study a new mathematical model in which the dynamics of CD4+ T-cells under the effect of HIV-1 infection are investigated in the context of a generalized fractal-fractional structure for the first time. The kernel of these new fractal-fractional operators is of the generalized Mittag-Leffler type. From an analytical point of view, we first derive some results on the existence theory and then the uniqueness criterion. After that, the stability of the given fractal-fractional system is reviewed under four different cases. Next, from a numerical point of view, we obtain two numerical algorithms for approximating the solutions of the system via the Adams-Bashforth method and Newton polynomials method. We simulate our results via these two algorithms and compare both of them. The numerical results reveal some stability and a situation of lacking a visible order in the early days of the disease dynamics when one uses the Newton polynomial. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationMathematics
dc.identifier.doi10.3390/math10091366
dc.identifier.issn22277390
dc.identifier.scopus2-s2.0-85129250822
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4594
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectAdams-Bashforth
dc.subjectexistence
dc.subjectfractal-fractional derivative
dc.subjectHIV-1 infection
dc.subjectNewton polynomial
dc.titleA Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and Newton Polynomials
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85129250822&doi=10.3390%2fmath10091366&partnerID=40&md5=6690ebccdce1c787fc722341c0327caf
oaire.citation.issue9
oaire.citation.volume10
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