Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model
Atimad Harir, Saïd Melliani, H. El Harfi, Lalla Saâdia Chadli
Abstract
The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).
Topics & Concepts
MathematicsOdeEpidemic modelOrdinary differential equationNonlinear systemTransformation (genetics)Applied mathematicsDifferential (mechanical device)Coronavirus disease 2019 (COVID-19)Differential equationMathematical analysisChemistryAerospace engineeringDiseaseMedicineGeneDemographyEngineeringPopulationQuantum mechanicsInfectious disease (medical specialty)PathologyBiochemistryPhysicsSociologyFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsCOVID-19 epidemiological studies