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

M. Adel; M. M. Khader; Hijaz Ahmad; T. A. Assiri; M. Adel; M. M. Khader; Hijaz Ahmad; T. A. Assiri

doi:10.3934/math.2023974

AIMS Mathematics

2023, Volume 8, Issue 8: 19083-19096. doi: 10.3934/math.2023974

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Research article

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

1.
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA
2.
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
3.
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
4.
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
5.
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
6.
Near East University, Operational Research Center in Healthcare, Near East Boulevard, P. C. 99138, Nicosia/Mersin 10, Turkey
7.
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, Roma 3900186, Italy
8.
Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah, Saudi Arabia

Received: 25 December 2022 Revised: 03 April 2023 Accepted: 16 May 2023 Published: 06 June 2023
MSC : 41A10, 65N12, 65N35

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.
- variational iteration method,
- fractional BECS,
- fractional PPEs
Citation: M. Adel, M. M. Khader, Hijaz Ahmad, T. A. Assiri. Approximate analytical solutions for the blood ethanol concentration system and predator-prey equations by using variational iteration method[J]. AIMS Mathematics, 2023, 8(8): 19083-19096. doi: 10.3934/math.2023974

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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.

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