SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order
Shahram Rezapour, Hakimeh Mohammadi, Mohammad Esmael Samei
Abstract
We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by using fixed point theory. Using the fractional Euler method, we get an approximate solution to the model. To predict the transmission of COVID-19 in Iran and in the world, we provide a numerical simulation based on real data.
Topics & Concepts
MathematicsOrdinary differential equationCoronavirus disease 2019 (COVID-19)Stability (learning theory)Epidemic modelApplied mathematicsEquilibrium pointFractional calculusTransmission (telecommunications)Order (exchange)Derivative (finance)Euler methodFixed-point theoremEuler's formulaPartial differential equationMathematical analysisDifferential equationComputer scienceMachine learningInfectious disease (medical specialty)TelecommunicationsPathologyMedicineDemographyPopulationEconomicsSociologyDiseaseFinanceFinancial economicsFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studies