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Numerical and quantitative analysis of HIV/AIDS model with modified Atangana-Baleanu in Caputo sense derivative
Abstract
Fractional calculus plays an important role in the development of control strategies, the study of the dynamical transmission of diseases, and some other real-life problems nowadays. The time-fractional HIV/AIDS model is examined using a novel method in this paper. Based on the Atangana-concept Baleanu’s of a derivative in the Caputo sense, the current modified fractional derivative operator uses singular and non-local kernels. This new modified fractional operator is given a numerical approximation and applied to the HIV/AIDS model. In the presence of this novel operator, we present some significant analysis for the HIV/AIDS epidemic model. The uniqueness and stability criteria of the model have been demonstrated using the Picard successive approxima- tion approach and Banach’s fixed point theory. The Laplace Adomian decomposition method (LADM) was used to obtain the numerical solution for the modified Atangana-Baleanu Caputo derivative model. The convergence analysis is verified for the proposed scheme. Finally, numerical results and simulations are derived with the proposed scheme for HIV/AIDS model. On the dynam- ics of HIV/AIDS transmission, the effects of many biological parameters are examined
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Authors (5)
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Muhammad Farman
-
Saba Jamil
-
Muhammad Azeem
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Muhammad Umer Saleem
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.aej.2022.11.034
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Alexandria Engineering Journal
no. 66,
pages 31 - 42,
ISSN: 1110-0168 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Farman M., Jamil S., Riaz M., Azeem M., Saleem M. U.: Numerical and quantitative analysis of HIV/AIDS model with modified Atangana-Baleanu in Caputo sense derivative// Alexandria Engineering Journal -Vol. 66, (2023), s.31-42
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.aej.2022.11.034
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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