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

Mohamed Adel, M. M. Khader, Hijaz Ahmad, Taghreed A. Assiri

2023AIMS Mathematics29 citationsDOIOpen Access PDF

Abstract

<abstract><p>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.</p></abstract>

Topics & Concepts

Applied mathematicsResidualMathematicsWork (physics)Approximation errorFunction (biology)Mathematical optimizationAlgorithmThermodynamicsPhysicsBiologyEvolutionary biologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design