Browsing by Author "Sebil, Charles"

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    A fractal–fractional order model for exploring the dynamics of Monkeypox disease
    (Elsevier, 2023-08) Wireko, Fredrick Asenso; Adu, Isaac Kwasi; Sebil, Charles; Asamoah, Joshua Kiddy K.; 0000-0002-7066-246X
    This study explores the biological behaviour of the Monkeypox disease using a fractal–fractional operator. We discuss the existence and uniqueness of the solution of the model using the fixed-point concept. We further show that the Monkeypox fractal–fractional model is stable through the Hyers–Ulam and Hyers–Ulam Rassias stability criteria. The epidemiological threshold of the model is obtained. The numerical simulation for the proposed model is obtained using the Newton polynomial. For instance, the disease dies out at lower fractional values. We investigated the effects of some key parameters on the dynamics of the disease. The variation of the parameters shows that quarantine and isolation are effective approaches to managing, controlling, or eradicating the Monkeypox disease.
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    An optimum bank fund allocation plan from a loan portfolio: the case study of Atwima Kwanwoma Rural Bank
    (2005-11-03) Sebil, Charles
    The thesis is designed to model a linear programming problem and to apply optimization techniques to the operations of real life problems of banks giving out loans to different clientele. The main objective of the study was to determine the maximum net returns which comprises of the difference between the revenue from interest and lost funds due to bad debts. The bad debts are not recoverable both as principal and interest, thus reducing the total revenue. It is also to u se the optimum solution to determine among the different clientele, the ones that are recommended and the ones that are least attractive. Atwima Kwanwuma Rural Bank was chosen as the bank for the study. Atwima Kwanwuma Rural Bank give out loans to different group of peoples such as: Travel loans, other loans, Churches loans, Group loans and Susu loans among others. A linear programming model which is one of the quantitative analysis techniques was developed and the Simplex Method used to solve the problem. It was found out that the bank could make an optimum profit of 23.002 billion annually. That is about 37.1% of 62 billion, the total amount disbursed as loans to the above