Browsing by Author "‑Nor Osman, Mojeeb A. L.‑Rahman E. L."

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    Modelling the dynamics of Ebola disease transmission with optimal control analysis
    (Springer, 2024-04) Adu, Isaac Kwasi; Wireko, Fredrick Asenso; Nana‑Kyere, Sacrifice; Appiagyei, Ebenezer; ‑Nor Osman, Mojeeb A. L.‑Rahman E. L.; Asamoah, Joshua Kiddy K.; 0000-0002-7066-246X
    Ebola disease is a highly infectious and often deadly disease caused by the Ebola virus. Ebola can spread among humans through direct contact with the blood, secretions, organs, or other bodily fluids of infected people, as well as surfaces and materials contaminated with fluids of infected people. This article examines a non-linear mathematical model of Ebola, considering environmental contamination and safe burier. The boundedness, non-negativity, and well-posedness of the proposed model are obtained. The Ebola-free equilibrium, Ebola-present equilibrium and Ebola reproduction number ( R0 ) are determined. A sensitivity analysis is conducted on the Ebola reproduction number to identify the factors that affect the output of R0 . Furthermore, we found that the proposed Ebola model displays forward bifurcation, which means that Ebola spread can be suppressed by bringing the Ebola reproduction number down to unity. The numerical simulation of the proposed model without optimal control demonstrated that Ebola can be controlled by lowering the frequency of interaction with infectious people and contaminated environments, educating the public about Ebola reinfection, vaccinating recovered Ebola patients, and stepping up educational campaigns against funeral customs like bathing corpses. Based on these, we formulated an optimal control and a cost-effectiveness analysis was conducted on the model to establish the strategy or strategies that can be best used to control Ebola spread with a minimal cost. The study revealed that the most economical method involves personal protection, vaccination, and ensuring a secure burial.