Fractional order mathematical model of Ebola virus under Atangana–Baleanu–Caputo operator
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Date
2023-11
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Abstract
The aim of this paper is to analyze a fractional model of the Ebola virus. This study is important
because it contributes to our understanding of the Ebola virus transmission dynamics using the
notion of non-local differential operators. We aim to apply the recently implemented Atangana–
Baleanu–Caputo (ABC) fractional derivative with the Mittag-Leffler kernel to study the Ebola
virus model closely. The Picard–Lindelof approach is used to do a comprehensive study of the
existence and uniqueness of the model’s solutions. The approximate solutions of the fractional
order Ebola virus model were obtained using a numerical technique with the ABC operator,
a combination of the fundamental theorem of fractional calculus and the two-step Lagrange
polynomial interpolation. This innovative approach may offer new insights into the Ebola
virus model that were not previously explored. Finally, the numerical simulations illustrate
how the control parameters impact specific compartments within the model. The geometrical
representation gives significant information about the model’s complexity and reliable infor mation about the model. We simulate each model compartment at various fractional orders
and compare them with integer-order simulations, highlighting the effectiveness of modern
derivatives. The fractional analysis underscores the enhanced accuracy of non-integer order
derivatives in capturing the Ebola virus model’s dynamics.