This study presented and analyzed the fractional order model for co-infection of Streptococcus pneumoniae and COVID-19 by adopting the Atangana-Baleanu derivative in Caputo sense. The solution’s boundedness and non-negativity are derived by applying the Laplace transform of the Atangana-Baleanu derivative in Caputo sense. We established the existence and uniqueness of the solutions of the proposed model using Atangana-Baleanu Caputo Integral, and Banach fixed point theorem. The disease-free equilibrium and basic reproduction number of the model were obtained. The stability of the model was investigated by applying Ulam-Hyers-Rassias stability. The deduced and presented fractional model is fitted to Nigeria’s confirmed daily COVID-19 cases as at February 2024. The numerical solution of the system is derived through the Adams-Bashforth linear multi-step method. The simulation of the overall patients co-infected with COVID-19 and Streptococcus pneumoniae, at different fractional orders was carried out.
Cite this paper
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