Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
Olumuyiwa James Peter
Abstract
In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory. The initial approachable approximate solutions are derived for the proposed model by applying the iterative Laplace transform technique. Finally, numerical simulations are conducted for the analytical results to visualize the effect of various parameters that govern the dynamics of infection, and the results are presented using plots.
Topics & Concepts
MathematicsLaplace transformUniquenessApplied mathematicsOperator (biology)Stability (learning theory)Fractional calculusOrder (exchange)Transmission (telecommunications)Dynamics (music)Calculus (dental)Mathematical analysisMathematical optimizationComputer scienceTelecommunicationsTranscription factorMedicineAcousticsGeneFinanceDentistryBiochemistryMachine learningRepressorChemistryEconomicsPhysicsFractional Differential Equations SolutionsBrucella: diagnosis, epidemiology, treatmentMathematical and Theoretical Epidemiology and Ecology Models