On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
Anwarud Din, Kamal Shah, Aly R. Seadawy, Hussam Alrabaiah, Dumitru Bǎleanu
Abstract
The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams-Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given.
Topics & Concepts
Coronavirus disease 2019 (COVID-19)Applied mathematicsCoronavirusNonlinear systemStability (learning theory)Mathematical modelCurrent (fluid)Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Computer scienceMathematicsCalculus (dental)Infectious disease (medical specialty)PhysicsDiseaseMedicineStatisticsDentistryQuantum mechanicsPathologyMachine learningThermodynamicsFractional Differential Equations SolutionsCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology Models