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Peter, O.J., Yusuf, A., Oshinubi, K., Oguntolu, F.A., Lawal, J.O., Abioye, A.I., et al. (2021) Fractional Order of Pneumococcal Pneumonia Infection Model with Caputo Fabrizio Operator. Results in Physics, 29, Article 104581.
https://doi.org/10.1016/j.rinp.2021.104581

has been cited by the following article:

• TITLE: Fractional Order Model for Co-Infection of Streptococcus pneumoniae and COVID-19 with Saturated Incidence Force of Infection

  AUTHORS: Chiekezi Zephaniah Opara, Ephraim Ngozi Erumaka, Nneka Onyinyechi Iheonu, Nnamdi Nonso Araka

  KEYWORDS: COVID-19 Pneumonia Co-Infection, Banach Fixed-Point Theorem, Atangana-Baleunu in Caputo Sense, Fractional Derivative

  JOURNAL NAME: Open Access Library Journal, Vol.11 No.12, December 5, 2024

  ABSTRACT: 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.