Browsing by Author "Ibrahim, Mohammed Olanrewaju"

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    Mathematical Modeling of Chemotherapy Effects on Brain Tumour Growth
    (International Conference and Advanced Workshop on Modelling and Simulation of Complex Systems, 2024-05-27) Abdurrahman, Nurat Olamide; Ibrahim, Mohammed Olanrewaju; Ibrahim, Jamiu Omotola
    A brain tumor is an abnormal growth or mass of cells in or around the brain. It is also called a central nervous system tumor. Brain tumors can be malignant (cancerous) or benign (non-cancerous). In this work, we proposed a system of nonlinear differential equations that model brain tumor under treatment by chemotherapy, which considers interactions among the glial cells X(t), the cancer cells Y(t), the neurons Z(t), and the chemotherapeutic agent C(t). The chemotherapeutic agent serves as a predator acting on all the cells. We studied the stability analysis of the steady states for both cases of no treatment and continuous treatment using the Jacobian Matrix. We concluded the study with a numerical simulation of the model and discussed the results obtained.
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    Mathematical modelling of solid waste management
    (International Journal of Mathematical Analysis and Modelling, 2023-07-21) Abdurrahman, Nurat Olamide; Ibrahim, Mohammed Olanrewaju
    Solid waste is anything that comes from domestic, commercial, or industrial sources that is no longer needed. It is deposited as undesired. Waste disposal did not become an issue when there were few habitations and a lot of open space. Waste disposal becomes a real concern in towns and cities when more individuals move there in pursuit of employment [6,12]. Using a set of ordinary differential equations, a mathematical model for managing solid waste is put forth in this study. The solution’s existence and uniqueness are proven. In order to simulate the sensitive parameter for solid waste management, the next-generation matrix is used to identify the basic reproduction number R0. It has been found that when waste production increases, so does the rate at which energy is produced from waste.