Results in Physics · 2021 · 21 citations · 8 references
Veterinary MedicineInfectious DiseasesMathematicsDifferential EquationsImmunizationInfectious Disease EpidemiologyDisease SpreadInfectious Disease DynamicsNonlinear DynamicsNumerical Methods For Differential EquationsTransmission DynamicsVaccinationDisease Outbreak ModelingEpidemic ModelsFractional Differential EquationsInfectious Disease ModelsMathematical Modeling Of EpidemicsMathematical Modeling Of TransmissionNonlinear System ModelingTransmission Dynamics Modeling
Governments and health officials are eager to gain a thorough understanding of the dynamics of COVID-19 transmission in order to devise strategies to mitigate the pandemic’s negative effects. As a result, we created a new fractional order mathematical model to investigate the dynamics of Covid-19 vaccine transmission in Ethiopia. The nonlinear system of differential equations for the model is represented using Atangana–Baleanu fractional derivative in Caputo sense and the Jacobi spectral collocation method is used to convert this system into an algebraic system of equations, which is then solved using inexact Newton’s method. The fundamental reproduction number, R0 for the proposed model is determined using the next generation matrix approach.
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The novel coronavirus outbreak in Wuhan, China
Hengbo Zhu, Wei Li, Ping Niu · Global Health Research and Policy · 2020 · 750 citations · Full text