%0 Journal Article
%T Fractional Order Model for Co-Infection of <em>Streptococcus pneumoniae</em> and COVID-19 with Saturated Incidence Force of Infection
%A Chiekezi Zephaniah Opara
%A Ephraim Ngozi Erumaka
%A Nneka Onyinyechi Iheonu
%A Nnamdi Nonso Araka
%J Open Access Library Journal
%V 11
%N 12
%P 1-27
%@ 2333-9721
%D 2024
%I Open Access Library
%R 10.4236/oalib.1112569
%X This study presented and analyzed the fractional order model for co-infection of <em>Streptococcus pneumoniae</em> 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 <em>Streptococcus pneumoniae</em>, at different fractional orders was carried out.
%K COVID-19 Pneumonia Co-Infection
%K Banach Fixed-Point Theorem
%K Atangana-Baleunu in Caputo Sense
%K Fractional Derivative
%U http://www.oalib.com/paper/6843179