Browsing by Author "Preko, Ama Kyerewaa"

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    Fractal–fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics
    (Elsevier, 2022-09) Addai, Emmanuel; Zhang, Lingling; Asamoah, Joshua Kiddy K.; Preko, Ama Kyerewaa; Arthur, Yarhands Dissou; 0000-0002-7066-246X
    This paper proposes a new fractal–fractional age-structure model for the omicron SARS-CoV-2 variant under the Caputo–Fabrizio fractional order derivative. Caputo–Fabrizio fractal–fractional order is particularly successful in modelling real-world phenomena due to its repeated memory effect and ability to capture the exponentially decreasing impact of disease transmission dynamics. We consider two age groups, the first of which has a population under 50 and the second of a population beyond 50. Our results show that at a population dynamics level, there is a high infection and recovery of omicron SARS-CoV-2 variant infection among the population under 50 (Group-1), while a high infection rate and low recovery of omicron SARS-CoV-2 variant infection among the population beyond 50 (Group-2) when the fractal–fractional order is varied.
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    Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer’s disease
    (Elsevier, 2022-09) Addai, Emmanuel; Zhang, Lingling; Preko, Ama Kyerewaa; Asamoah, Joshua Kiddy K.; 0000-0002-7066-246X
    In this paper, we study a Caputo–Fabrizio fractional order epidemiological model for the transmission dynamism of the severe acute respiratory syndrome coronavirus 2 pandemic and its relationship with Alzheimer’s disease. Alzheimer’s disease is incorporated into the model by evaluating its relevance to the quarantine strategy. We use functional techniques to demonstrate the proposed model stability under the Ulam–Hyres condition. The Adams–Bashforth method is used to determine the numerical solution for our proposed model. According to our numerical results, we notice that an increase in the quarantine parameter has minimal effect on the Alzheimer’s disease compartment.