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FRACTIONAL ORDER ANALYSIS OF HBV AND HCV CO-INFECTION UNDER ABC DERIVATIVE

Hussam Alrabaiah, Mati ur Rahman, Ibrahim Mahariq, Samia Bushnaq, Muhammad Arfan

2021Fractals18 citationsDOI

Abstract

In this paper, we consider a fractional mathematical model describing the co-infection of HBV and HCV under the non-singular Mittag-Leffler derivative. We also investigate the qualitative analysis for at least one solution and a unique solution by applying the approach fixed point theory. For an approximate solution, the technique of the iterative fractional order Adams–Bashforth scheme has been implemented. The simulation for the proposed scheme has been drawn at various fractional order values lying between (0,1) and integer-order of 1 via using Matlab. All the compartments have shown convergence and stability with time. A detailed comparative result has been given by the different fractional orders, which showed that the stability was achieved more rapidly at low orders.

Topics & Concepts

Fractional calculusMathematicsStability (learning theory)Applied mathematicsMATLABInteger (computer science)Order (exchange)Convergence (economics)Derivative (finance)Scheme (mathematics)Mathematical analysisComputer scienceEconomicsFinanceProgramming languageMachine learningEconomic growthOperating systemFinancial economicsFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design
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