FRACTIONAL MATHEMATICAL MODEL OF HIV AND CD4+ T-CELLS INTERACTIONS WITH HAART TREATMENT
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| Název: | FRACTIONAL MATHEMATICAL MODEL OF HIV AND CD4+ T-CELLS INTERACTIONS WITH HAART TREATMENT |
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| Autoři: | Nisardi, Muhammad Rifki, Kasbawati, Kasbawati, Putra, Restu Ananda |
| Zdroj: | Journal of Fundamental Mathematics and Applications (JFMA); Vol 6, No 1 (2023); 54-70 ; 2621-6035 ; 2621-6019 |
| Informace o vydavateli: | Diponegoro University |
| Rok vydání: | 2023 |
| Sbírka: | Universitas Diponegoro: Undip E-Journal System (UEJS) Portal |
| Témata: | HIV-Model, Fractional Order, Basic Reproduction Number, Grunwald-Letnikov Method |
| Popis: | This study provides the mathematical model of the interaction between the HIV and CD4+ T cells. This research develops other research by formulating a model with the fractional Caputo derivative approach with fractional order α. Based on the model, we obtain the equilibrium point and analyze the stability criterion of the equilibrium point. Furthermore, we perform the Next Generation Matrix method to calculate the basic reproduction number. Then, we apply the Grunwald-Letnikov Explicit method to show the numerical result of the model. |
| Druh dokumentu: | article in journal/newspaper |
| Popis souboru: | application/pdf |
| Jazyk: | Indonesian |
| Relation: | https://ejournal2.undip.ac.id/index.php/jfma/article/view/17174/9623; https://ejournal2.undip.ac.id/index.php/jfma/article/view/17174 |
| DOI: | 10.14710/jfma.v6i1.17174 |
| Dostupnost: | https://ejournal2.undip.ac.id/index.php/jfma/article/view/17174 https://doi.org/10.14710/jfma.v6i1.17174 |
| Rights: | Copyright (c) 2023 Journal of Fundamental Mathematics and Applications (JFMA) |
| Přístupové číslo: | edsbas.6240B143 |
| Databáze: | BASE |
Nájsť tento článok vo Web of Science | Abstrakt: | This study provides the mathematical model of the interaction between the HIV and CD4+ T cells. This research develops other research by formulating a model with the fractional Caputo derivative approach with fractional order α. Based on the model, we obtain the equilibrium point and analyze the stability criterion of the equilibrium point. Furthermore, we perform the Next Generation Matrix method to calculate the basic reproduction number. Then, we apply the Grunwald-Letnikov Explicit method to show the numerical result of the model. |
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| DOI: | 10.14710/jfma.v6i1.17174 |