Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative

Kongson, Jutarat; Thaiprayoon, Chatthai; Sudsutad, Weerawat

doi:10.3934/math.2021427

Cited by 10 publications

(6 citation statements)

References 41 publications

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“…Comparing the outcomes from the current studies with those from the earlier literature, one may observe that if , then , and the fractional concepts in 2.2 and 2.3 concur with that explored by Jarad et al in 38 . In this context, the conclusions reached in Theorems 3.1 , 3.2 , 4.1 , and 4.2 match those established in 31 for HIV infection. Further, if , results 3.1 , 3.2 , 4.1 seem to confirm the conventional conclusions about HIV infection that were reached using the standard Newton’s derivative.…”

Section: Discussionsupporting

confidence: 76%

“…The current study is based on the HIV models given in 13 , 28 , 31 , which are considered an antiretroviral treatment of reversed transcriptase antagonists. The next are the unknown parameters that the model might include: I ( t ): is the overall number of CDFP-TC that are susceptible.…”

Section: Principal Toolsmentioning

confidence: 99%

“…Additionally, numerical results are attained. In 31 A fractional HIV infection treated with antiretroviral drug has been presented and examined by Kongson et al using a fractional generalized Caputo operator.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel HIV model through fractional enlarged integral and differential operators

Barakat

Hyder

Almoneef

2023

Sci Rep

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This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the suggested fractional HIV model are investigated using Leray–Schauder nonlinear alternative (LSNA) and Banach’s fixed point (BFP) theorems. Furthermore, multiple types of Ulam stability (U-S) are created for the fractional model of HIV. It is straightforward to identify that the gained findings may be decreased to many results obtained in former works of literature.

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Section: Discussionsupporting

confidence: 76%

Section: Principal Toolsmentioning

confidence: 99%

See 1 more Smart Citation

A novel HIV model through fractional enlarged integral and differential operators

Barakat

Hyder

Almoneef

2023

Sci Rep

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“…A risk-balancing strategy has been adopted by the South African government to lift the lockout restrictions progressively. We refer the readers to [7,8] for some scientific works performed on infectious diseases and, in particular, for several mathematical models related to abstract and real-world boundary problems via fractional operators, to [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introduction and Backgroundsmentioning

confidence: 99%

Investigation of the Stochastic Modeling of COVID-19 with Environmental Noise from the Analytical and Numerical Point of View

et al. 2021

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In this article, we propose a novel mathematical model for the spread of COVID-19 involving environmental white noise. The new stochastic model was studied for the existence and persistence of the disease, as well as the extinction of the disease. We noticed that the existence and extinction of the disease are dependent on R0 (the reproduction number). Then, a numerical scheme was developed for the computational analysis of the model; with the existing values of the parameters in the literature, we obtained the related simulations, which gave us more realistic numerical data for the future prediction. The mentioned stochastic model was analyzed for different values of σ1,σ2 and β1,β2, and both the stochastic and the deterministic models were compared for the future prediction of the spread of COVID-19.

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“…For instance, Kumar et al studied a love story model of Layla and Manjnun using a new GCF operator [27]. In the literature [28], the authors have analyzed the HIV model via the GCF derivative and many more. Predictor-corrector (P-C) algorithms, on the other hand, are one of the most efficient, reliable, and accurate methods for numerically solving FDEs, where the fractional derivative is regarded in the Caputo sense.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense

2021

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The nonlinear fractional-order model of bioethanol production under a generalized nonlocal operator in the Caputo sense is investigated in this work. Theoretical and computational aspects of the considered model are discussed. We prove that the model has at least one solution and a unique solution using the Leray–Schauder and Banach contraction theorems. Using functional analysis, we investigate several types of Ulam–Hyres model stability. We use the predictor–corrector (P–C) method to construct a broad numerical scheme for the model’s solution. The proposed numerical method’s stability is demonstrated. Finally, we depict the numerical findings geometrically to demonstrate the model’s dynamics.

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Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative

Cited by 10 publications

References 41 publications

A novel HIV model through fractional enlarged integral and differential operators

A novel HIV model through fractional enlarged integral and differential operators

Investigation of the Stochastic Modeling of COVID-19 with Environmental Noise from the Analytical and Numerical Point of View

Dynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense

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