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Research Article | Open Access

Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method

M. Adel1,2M. M. Khader3,4Hijaz Ahmad5,6,7( )T. A. Assiri8( )
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Near East University, Operational Research Center in Healthcare, Near East Boulevard, P. C. 99138, Nicosia/Mersin 10, Turkey
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, Roma 3900186, Italy
Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah, Saudi Arabia
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Abstract

Simulation and numerical study for the blood ethanol concentration system (BECS) and the Lotka-Volterra system, i.e., predator-prey equations (PPEs) (both of fractional order in the Caputo sense) by employing a development accurate variational iteration method are presented in this work. By assessing the absolute error, and the residual error function, we can confirm the given procedure is effective and accurate. The outcomes demonstrate that the proposed technique is a suitable tool for simulating such models and can be extended to simulate other models.

CLC number: 41A10, 65N12, 65N35

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AIMS Mathematics
Pages 19083-19096

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Cite this article:
Adel M, Khader MM, Ahmad H, et al. Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method. AIMS Mathematics, 2023, 8(8): 19083-19096. https://doi.org/10.3934/math.2023974

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Received: 25 December 2022
Revised: 03 April 2023
Accepted: 16 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)