Browsing by Author "Ampofo, D.S."

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    Modelling the Dynamics of Conjunctivities Along the Tano Basin
    (2024-09) Ampofo, D.S.
    Ghana’s Tano Basin continues to be a major public health hazard for conjunctivitis due to the introduction of adenovirus and herpes simplex virus into river bodies by activities of anthropogenic and zoogenic. The study objectives were to develope a mathematical model to explain the dynamics of conjunctivitis in the the Tano basin, the local analysis on the model was performed and behaviour of key parameters at different α values were investigated. In order to account for the effects of memory and non-locality, this work modelled the dynamics of conjunctivitis transmission using Caputo-Fabrizio differential equations. For numerical simulation, the Lagrange polynomial iterative scheme is applied. We examine the model at different α values, which span from 1 to 0.65, in order to evaluate the effect of memory degradation on the spread of disease. The findings demonstrate that the dynamics of the disease are considerably changed by lowering α values, with lower values (α < 0.80) displaying more oscillations and a lower peak incidence. It is also discovered that α affects the basic reproduction number R0, with R0 falling as alpha falls. According to the research, taking memory effects into consideration while analysing the spread of conjunctivitis can enhance model accuracy and guide sensible management measures.