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

Hussam Alrabaiah, Mati Ur Rahman (), Ibrahim Mahariq (), Samia Bushnaq () and Muhammad Arfan ()
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Hussam Alrabaiah: College of Engineering, Al Ain University, Al Ain, UAE2Department of Mathematics, College of Science, Tafila Technical University, Tafila, Jordan
Mati Ur Rahman: Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road Shanghai, P. R. China
Ibrahim Mahariq: College of Engineering and Technology, American University of the Middle East, Kuwait
Samia Bushnaq: Department of Basic Sciences, Princess Sumaya University for Technology, King Abdullah II Faculty of Engineering, Amman 11941, Jordan
Muhammad Arfan: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-15

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.

Keywords: Co-Infection Model; Existence Results; Numerical Simulations; ABC Fractional Derivative Operator (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400369

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