Mathematical Methods in the Applied Sciences · 2021 · 18 citations · 25 references
Veterinary MedicineInfectious Disease ControlInfectious DiseasesCommunicable Disease ControlEmerging Infectious DiseasesInfectious Disease EpidemiologyControl StrategiesDisease ControlInfectious Disease DynamicsOutbreak ControlTransmission DynamicsDisease Outbreak ModelingEpidemic ContagionEpidemic SpreadingFractional Differential EquationsHost-pathogen Dynamics ModelsInfectious Disease ModelsMathematical Modeling Of EpidemicsPicard - Lindelöf Theorem
The dynamics of diseases and effectiveness of control policies play important role in the prevention of epidemic diseases. To this end, this paper is concerned with the design of fractional order coronavirus disease (COVID-19) model with Caputo Fabrizio fractional derivative operator of order Ω ∈ (0, 1] for the COVID-19. Verify the nonnegative special solution and convergence of the scheme with in the domain. Caputo-Fabrizio technique apply with Sumudu transformation method is used to solve the fractional order COVID-19 model. Fixed point theory and Picard Lindelof approach are used to provide the stability and uniqueness of the results. Numerical simulations conspicuously demonstrate that by applying the proposed fractional order model, governments could find useful and practical ways for control of the disease.
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Clinical features of patients infected with 2019 novel coronavirus in Wuhan, China
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The Mathematics of Infectious Diseases
Herbert W. Hethcote · SIAM Review · 2000 · 6.9K citations
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