Numerical treatments for a multi-time delay complex order mathematical model of HIV/AIDS and malaria

In this artical, we present a novel complex order nonlinear mathematical model of HIV/AIDS and Malaria co-infection with multi-delay. The proposed model is formulated as a system of twelve complex order differential equations. The complex order derivative is defined in the Atangana-Baleanu-Caputo se...

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Bibliographic Details
Published in:Alexandria engineering journal 2022-12, Vol.61 (12), p.10263-10276
Main Authors: Sweilam, N.H., Mohammed, Z.N., Abdel kareem, W.S.
Format: Article
Language:English
Subjects:
Atangana-Baleanu complex order derivative
HIV/AIDS and malaria co-infection with multi-delay model
Lagrange polynomial interpolation
Nonstandard two-step Lagrange interpolation method
Standard two-step Lagrange interpolation method
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Summary:In this artical, we present a novel complex order nonlinear mathematical model of HIV/AIDS and Malaria co-infection with multi-delay. The proposed model is formulated as a system of twelve complex order differential equations. The complex order derivative is defined in the Atangana-Baleanu-Caputo sense. Two numerical methods are utilized for simulating the determined system; standard two-step Lagrange interpolation method and the non-standard two step Lagrange interpolation method. In order to establish numerical simulations, the theoretical results and comparative studies are given.
ISSN:1110-0168
DOI:10.1016/j.aej.2022.03.058